diff --git "a/data/dm_maths/full_data_1/1197_11255.jsonl" "b/data/dm_maths/full_data_1/1197_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/1197_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Let u(o) be the first derivative of -1\/3*o**3 - 5*o**2 + 9*o + 149. Calculate u(-10).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*y - 3*y + 10, 2 = -4*i + 3*y. Suppose -25*n + 24*n - 9 = 0. Put i, -4, n, 5 in decreasing order.\nAnswer: 5, i, -4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -19*w**5 + 1070*w**4 + 97*w**3 + 95622269*w**2 wrt w.\nAnswer: -1140*w**2 + 25680*w + 582","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 763 divided by -78669?\nAnswer: -763\/78669","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 10244 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 83713 and 420?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = s**3 - 16*s**2 + 7*s - 9. Give n(16).\nAnswer: 103","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 - (6 + -32 + 26 - (2 + 31))?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + -4 + (sqrt(14)\/(sqrt(32)\/sqrt(4)) - sqrt(189)\/(sqrt(3) - (sqrt(3) - (sqrt(3) + sqrt(9)\/sqrt(3) + sqrt(3))) - sqrt(3))) + 5.\nAnswer: -sqrt(7) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 greater than 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:47 AM and 11:21 AM?\nAnswer: 154","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand c - 2*c + 0*c + (5*c + 0*c - 3*c)*(-2 - 1 + 2) + 2*c + 0*c - 3*c + (-4 + 6 + 0)*(-27*c + 8 - 8) + 0 + 0 + 15*c.\nAnswer: -43*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 10\/829 equal to 3486?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(52) - (sqrt(52) + -5*-1*sqrt(52))) + sqrt(104)\/sqrt(2)*6)\/((sqrt(32) - ((sqrt(32) - 4*sqrt(1568)) + sqrt(32)))\/sqrt(8)).\nAnswer: sqrt(13)\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -2*o - 9 + 2*o**3 + 6*o**2 + 4*o**3 - 5*o**3. Let c be j(-6). Let z = c - 1. Solve 5*m = z*m - 15 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 223, 338, 437, 514, 563?\n\"Answer: -w**3 - 2*w**2 + 128*w + 98","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 65727 a multiple of 155?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28777.\nAnswer: 7, 4111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2 + 1200?\nAnswer: 1202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 y when two letters picked without replacement from myaypmmammxyammy?\nAnswer: 7\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-336)\/(-30))\/(-14)*(-2)\/(8\/(-90))?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3*(2\/24)\/(4\/(-16))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -657, -1319, -1981?\nAnswer: -2643","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + -1 + -8 + 0.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + (1 - (10 + -2)) + -11.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3 (b) -63 (c) -0.2 (d) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 5*z**3 + 2*z**2 - 112*z + 16. Is w(23) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10394030?\nAnswer: 2, 5, 59, 79, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5 - 6) + (-8 - (-43 + (23 - 62))).\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in -1, -2\/11, 92, 160?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -63 + l**2 + 55*l - 101*l + 46*l - l**4 to the form k*l**3 + o*l**2 + r*l**4 + s + u*l and give s.\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -44747*g - 2. Let h(d) = d**2 - 27*d. Give i(h(q)).\nAnswer: -44747*q**2 + 1208169*q - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3578 - 1202 = 9*k. Does 31 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -13*x - 72. Determine b(-5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 9 + 209 = 0. Let z = -45 - i. Solve -1 + 21 = -z*d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2 + 4. Which is the nearest to i? (a) 0.4 (b) 2 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5667 is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 146777 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: List the prime factors of 665335.\nAnswer: 5, 11, 12097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 + 3)*(21*k**3 - 13*k**3 - 10*k**3 + (0*k**2 + 0*k**2 - 2*k**2)*(2*k + 2*k - 2*k) + 2*k**3 - k + k - k - k**3 + k) + 3*k**3 - 3*k**3 + k**3.\nAnswer: -19*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 336002407 is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = 3*s - 9, 5*a + 2*s = 3*s + 21. Suppose -a*k - 62 = -194. Calculate the greatest common factor of 66 and k.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 133 + -127. Suppose a*q - 47 = -29. Solve q*b = -0*b + 9 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 361 and 16562414?\nAnswer: 314685866","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = o**2 + 9*o - 1. Let h be n(-9). Let c be (h\/2)\/(2\/(-772)). Let u = 320 - c. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 21522*c*u**3 + 55*c*u + 35*c - 22229 wrt u?\nAnswer: 64566*c*u**2 + 55*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) be the first derivative of u + 18. Let m(y) = -y + 9. Let k(q) = -6*j(q) - m(q). What is k(9)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence db when two letters picked without replacement from {r: 1, w: 4, d: 4, m: 5, b: 1}?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.994912065 rounded to 3 dps?\nAnswer: -6.995","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 4 - 10*f**2 + f - 23 - 8*f - 3. Let v(u) = 9*u**2 + 6*u + 22. Let z(x) = 4*t(x) + 5*v(x). Is z(-9) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1764042371 to the power of 1\/6, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -448461*h**3*x - 9987245*h**3 - 2*h**2*x + 23*x wrt x?\nAnswer: -448461*h**3 - 2*h**2 + 23","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2774173155?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -61 divided by -336831?\nAnswer: 61\/336831","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 22 and 6523?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*f**5*g*l + 549*f**5*g + 6377*f*g*l - g wrt f?\nAnswer: -60*f**3*g*l + 10980*f**3*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 10? (a) 0.87 (b) 0.3 (c) -0.2 (d) 7\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 3, m: 6, y: 2, i: 1}. What is prob of sequence qi?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 10 = -5*d + 2*k, -5*k = 0. Suppose -5*n + d*q + 20 = 0, 2*n = -4*q + 3*q + 8. Suppose y = -n*y + 25. What is the units digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10701, 43045, 96943, 172395?\nAnswer: 269401","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3.3 + 3.3. Let s = 0.1 - 1.1. Let a = -0.8 - s. Which is bigger: a or c?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -85 + 65 + (-1 - -34).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-10)\/15 + 20\/75. Let m be -4*(138\/(-24))\/(-23). Put a, 3\/2, m, -2\/9 in descending order.\nAnswer: 3\/2, -2\/9, a, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 303 minutes before 12:03 AM?\nAnswer: 7:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*x + 44. Let u = 67 - x. What is u rounded to the nearest 10?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(112)*3)\/sqrt(4) - (sqrt(196) + (sqrt(196) + sqrt(196)*-2)*-5)\/sqrt(7).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 977234815.\nAnswer: 5, 195446963","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5 + 9. Calculate the least common multiple of p and ((-3)\/1)\/((-10)\/60).\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -m**2 + 3*m - 2. Let o be u(3). Let q(k) = -k**2 + 5*k - 13. Let a(h) be the first derivative of h**2\/2 - 3*h + 25. Determine o*q(c) + 9*a(c).\nAnswer: 2*c**2 - c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 34\/5 of a century in months?\nAnswer: 8160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen quarters of a litre in millilitres?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2402*n*o - 6076608*n + 68*o wrt o.\nAnswer: 2402*n + 68","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 2933 + -0.052\nAnswer: 2932.948","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 420 - 140 - c**3 - 172 - 162.\nAnswer: -c**3 - 54","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -181.297498 - -0.251598. Let k = 0.0459 + t. Which is smaller: -1\/4 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -8\/5? (a) 1\/3 (b) 2\/35 (c) -73 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7)\/(6076\/(-112))*744.\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1346707734 to the power of 1\/2, to the nearest integer?\nAnswer: 36698","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2497?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -34 (base 8) to base 3\nAnswer: -1001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 171232 + -684923\/4. Let -r - 1\/4*n + 5\/4*n**2 + 1\/4*n**3 = 0. What is n?\nAnswer: -5, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 121 = 40. What are the prime factors of x?\nAnswer: 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 640\/(-3285) + 378\/1701.\nAnswer: 2\/73","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 64612564?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (t**4 + 0*t**4 + 0*t**4)*(8 + 3 + 7) + 0 + 13*t**4 + 2 - 32*t**4.\nAnswer: -t**4 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 495466?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34514689.\nAnswer: 11, 3137699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 71*y**3 - 2*y**2 + 6*y + 9. Let c(x) = 36*x**3 - x**2 + 2*x + 4. Determine 2*b(k) - 5*c(k).\nAnswer: -38*k**3 + k**2 + 2*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 + (-5)\/(-20)*-2)*91*2\/(-196).\nAnswer: 13\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 543194 is divided by 218?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -369 + -5?\nAnswer: -371","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(55)\/(sqrt(35)\/(sqrt(7) - (sqrt(7) - sqrt(28)))) + -1*sqrt(11)*-2 + sqrt(22)\/(-2*sqrt(2)))*-3 + 4.\nAnswer: -21*sqrt(11)\/2 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.7 - 73.7168984.\nAnswer: -74.4168984","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 9118 by 2.\nAnswer: 4559","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out 440873.9339 + 1.\nAnswer: 440874.9339","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-8)\/36 + 4\/18. Suppose l = f - 5*f + 72. What is y in 13 + f*y + 11 + 3 + 3*y**2 = 0?\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*x - 1166 = x. Calculate the remainder when x is divided by 55.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 72, 5, -3, -56, -4, 45 in decreasing order.\nAnswer: 72, 45, 5, -3, -4, -56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by 419\nAnswer: -1\/419","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 51 = l - 27, 132 = 2*l - 4*w. What is the greatest common factor of l and 10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2150408?\nAnswer: 2, 13, 23, 29, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 2, x: 1, i: 2}. What is prob of sequence fiix?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2 + -1 - (25 + 8 + -7). Let s be (-68)\/51 - z\/3. Let c(w) = -w**3 - 5*w**2 + 4*w - 8. Let v be c(-6). Solve 2*u - s = 5*u - v*t, -2 = t for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 141*c - 61*c + 198*c to k*c + g and give k.\nAnswer: 278","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmjlmmlmjjdcddm. What is prob of sequence mc?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -14 + (3 - (3 + (5 - 11))) - 2.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12 - 4 + 8*c**2 - 8.\nAnswer: 8*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 26\/39 - (-64)\/(-6)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 3434 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -2746 (base 12) to base 14\nAnswer: -190a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 11110111010 (base 2) to base 4\nAnswer: 132322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p = 5*t + 100, 3*t + 1152*p - 2297*p + 70 = -1147*p for t.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -1. Let u(o) = -3*o - 2. Let i(r) = -u(r) - 4*x(r). Let j = -106 - -117. What is the remainder when i(5) is divided by j?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 4*c. Let n(x) = -64*x - 64*x - 5 - 67*x + 191*x. What is g(n(f))?\nAnswer: -16*f - 20","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 2 - 2)*(t - 2*t + 3*t) - t - 1 + 1 - 35642 + 35642 + 24*t + 4*t + 0*t - 2*t to y + x*t and give x.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 31311311121 (base 4) in base 11?\nAnswer: 2059065","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -378c - 7d87?\nAnswer: -b624","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.5, 1, -148, -0.5, 2, -1\/4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -54*d + 2. Let w(n) be the second derivative of -n**6\/360 - 9*n**3\/2 - 14*n - 2. Let t(x) be the second derivative of w(x). What is m(t(r))?\nAnswer: 54*r**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 - 5 + 2)*(4 - 3 + 0)*(2 + 3 - 2) + (3 - 3 + 1)*(-2 + 0 + 0) + 0 - 1 + 0 + 0 - 1 + 3)*(2 + z - 2) + 14 + 26*z + 1 - 23*z.\nAnswer: -4*z + 15","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4106.3085 - -0.6552.\nAnswer: 4106.9637","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -601\/4 - -151. Let q = -4674 + 9351\/2. What is the closest to 0 in -135, q, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -2*u**2 - 288*u - 4038. Give n(-16).\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 202 - 130?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a micrometer in nanometers?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -2*h + 6. Suppose 374 = -77*s + 55*s. Let i(z) = 6*z - 17. Determine s*r(a) - 6*i(a).\nAnswer: -2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1.143 + 1.163. Let w be (-51)\/(-357) - (1\/7)\/(-1). Let y be -2 + 1 - 4\/(-7). Sort c, w, 0.5, y in ascending order.\nAnswer: y, c, w, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -13213 + 1?\nAnswer: -13212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 84 - 82. What is the first derivative of -j*x**4 + 13*x**4 - 9 - 21 + 11*x**4 wrt x?\nAnswer: 88*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 c when two letters picked without replacement from vssscqqsqco.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 137331409 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/5 (b) -1 (c) 4 (d) -85028 (e) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -232, -230, -228?\n\"Answer: 2*a - 234","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 25, 40, 53, 64, 73?\n\"Answer: -w**2 + 18*w + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 325 (base 6) to base 15.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 70 divided by 5.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 5*n**2 + n - 3. Let k be a(3). Let z be (-8)\/3*k\/(-6). Suppose -4*w - 4*m = w - 90, z = 4*m. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3051159*s**2 - 151955*s?\nAnswer: 6102318","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -143 + 128 - (16 - 0)?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1\/3)\/(1\/21). Let u(q) = 5*q + 5. Let i(k) = 4*k + 5. Let m(b) = -6*i(b) + 5*u(b). What is the units digit of m(n)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + f)*(9 - 9 + 4*f).\nAnswer: 4*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8228?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-33)\/1*(-4202)\/138666.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 30985 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.0687266 + 0.0688. Round u to 5 decimal places.\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - x**2 + 3)*(-2*x - 4*x + 4*x) - 7*x**3 - 2*x**2 + 2*x**2.\nAnswer: -5*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(475) - (-1 + sqrt(475))) + -3 + -1*sqrt(475) + 0 + 2*(sqrt(475) + -2) + (sqrt(475) - (0 + 1 + sqrt(475))))**2.\nAnswer: -120*sqrt(19) + 619","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 71259.2903 - 71256. What is x rounded to 2 dps?\nAnswer: 3.29","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1413 + 1434. What is the greatest common factor of v and 1211?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1143662867.580000533 + -1143662874.9. Let f = 7.32 + x. Round f to 7 dps.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -12\/7 (b) -2 (c) -9.45 (d) 0.5 (e) 5 (f) -2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1a5 (base 14) to base 11.\nAnswer: -290","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7b6698 (base 13) to base 7.\nAnswer: 33612053","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(156)\/(sqrt(12)*-2))**2 + 0.\nAnswer: -2*sqrt(13) + 29\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1591 - 15891\/10. Let z = s + -289\/160. Suppose 0 = -3*p + 6*p. Which is smaller: p or z?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 12\/21 + (-40212)\/75222 and -41\/5.\nAnswer: 2985","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -11 (b) 1 (c) -0.1 (d) -20\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0 + 0.5. Let q = 188 + -5078\/27. Let m = q + 41\/189. Which is the closest to -1? (a) m (b) s (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-6)\/(-8) + 1\/4. Let x = 299\/861 - 4\/287. What is the closest to g in x, 0, 5?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -84 - -84.000083. What is n rounded to five decimal places?\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.0965 - 3.0015. Let z = u + -0.095. What is the nearest to z in 0.3, 3, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 304790396?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -61*o**2 + 117*o + 7. Determine b(2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from niniiiii. Give prob of picking 2 i and 1 n.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3818\/(-7896) + (-39)\/(-91). Let s = d - -1467\/752. Calculate the common denominator of 59\/22 and s.\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -b**3 + 8*b**2 + 23*b + 1. Let j(m) = -2*m**3 + 20*m**2 + 59*m + 2. What is 13*g(h) - 5*j(h)?\nAnswer: -3*h**3 + 4*h**2 + 4*h + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -p**3 - 4*p + 1. List the prime factors of w(-3).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 63.62 + 3.98. Let t = 67 - g. Is t not equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3841336 to the power of 1\/6, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 2*l**2 + 7*l - 119. What is the hundreds digit of a(13)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 42 divide 6090?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = o**2 + 7*o - 10. Let h be x(-7). Suppose -4*p + 839 = 839. Which is smaller: p or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/((-6)\/(-9)*-1) + 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (0\/(-4))\/(2*-1). Suppose -149 = -3*q - 2*v - l*v, -3*v + 144 = 3*q. Suppose -4*i = -3*i - 19. What is the remainder when q is divided by i?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1215784 by 3.\nAnswer: 1215784\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(-10)*(55\/(-2))\/11.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 67546408?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, 20017, 0.2, -2\/7 in descending order.\nAnswer: 20017, 0.4, 0.2, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 83336947 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -53.5 - -15.5. Let l = p - -38.0051. Round l to 3 decimal places.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 63 and 252?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 458 is divided by 17.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 18342\/22925 - 132\/175. Let m = 172\/1965 + o. Put 2, m, 4, -1 in descending order.\nAnswer: 4, 2, m, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -110 + 115. Suppose -2*p + 6*p + 20 = j, -t*j - 5*p - 25 = 0. Solve -5*g + 10 = -j, -3*g = 4*w - 18 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 145\/87*2*(-2)\/(-20). Factor 2\/3 + k - 1\/3*k**2 - r*k**4 - k**3.\nAnswer: -(k - 1)*(k + 1)**2*(k + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2021904 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-18)\/(-21))\/((-1)\/(-7)). Let a(n) = 7*n**2 - n + 3. Let p(o) = o**2 + o + 1. Let q(v) = -a(v) + 6*p(v). List the prime factors of q(l).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1542 - 1347. What is the highest common factor of h and 45?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 64325?\nAnswer: 5, 31, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*m**4 + 17*m**3 - 7*m**2 - 9946*m?\nAnswer: 24*m**2 + 102*m - 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*s - 3*q - 0*q - 3, -15 = 5*q. Let h be (-4 - s)*1 + (-18)\/(-10). Let f = -5800\/247589 + -2\/2983. Put f, h, 2, -4 in increasing order.\nAnswer: -4, f, h, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 36949 is divided by 12313?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1cc - -2c?\nAnswer: -1a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/7? (a) -2\/11 (b) -0.5 (c) 12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = s - 5, -4*s + 8 + 12 = -w. Let b(f) = -f + 16. Let k be b(17). Let g(q) = -5*q - 6. Let a(d) = -d. Let y(z) = k*g(z) + 6*a(z). What is y(w)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 22812.73 and 7.\nAnswer: 159689.11","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 23528 + -4992. What is the thousands digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -477, -495, -525, -567, -621, -687?\n\"Answer: -6*x**2 - 471","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -65*s - 365. Let t be k(6). Let w = t - -12837\/17. Which is the closest to 2\/9? (a) w (b) 1\/3 (c) -3 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10\/4)\/((-10)\/(-12)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k = -3*a, 4*k + 2*a = -a - 7 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 93\/68 and 83\/16?\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 19 - 1?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 74 - 5. What is the units digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:01 PM and 7:46 PM?\nAnswer: 165","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (1\/(-4))\/(6\/8). Let u = 51 - 201\/4. Let s be (6\/(-16))\/((-39)\/52). Which is the closest to t? (a) s (b) u (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*s + 16*s - 8907 = -c, 2*c + 3*s = 17803. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1509 or -473675\/314?\nAnswer: -473675\/314","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 25\/12177 and -38\/1107?\nAnswer: 12177","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 599094 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -43951, -43883, -43695, -43327, -42719, -41811?\n\"Answer: 10*z**3 - 2*z - 43959","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 117 - -cb5?\nAnswer: dcc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -359*f - 5464 - 8148 = 25*f - 52*f for f.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -9803 - -9808. Let f(q) = -5*q. Let y(s) = -2*s. What is m*y(v) - 3*f(v)?\nAnswer: 5*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 144*w - 5. Let l be r(0). What is the nearest to 1\/2 in -3, -20, l, -4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -82851, -84377, -85905, -87435, -88967, -90501?\n\"Answer: -d**2 - 1523*d - 81327","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the third derivative of -q**5\/60 - q**4\/24 - q**3\/2 + 204*q**2. Determine s(-2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-9)\/(-5) + 164\/(-205)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16454*r - 234195 = -1479*r - 1297420 for r.\nAnswer: 71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 82045.23nm?\nAnswer: 0.08204523","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3\/2*d - 7\/3 - 1\/6*d**2.\nAnswer: -(d - 7)*(d - 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -16*q**3 + 21*q**2 - 23*q + 2. Determine c(1).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 8, 1, -1\/31, 3?\nAnswer: -1\/31","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1829\/2260 + 18\/113. Let l = -341\/340 - f. Which is greater: l or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -24737 by 643.\nAnswer: -24737\/643","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 9*v. Suppose -23*w + 54*w = 1147. Let z(x) = -37 + 19*x + w + 2*x. Calculate z(u(n)).\nAnswer: 189*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pdvrvsdpvddpp. Give prob of picking 2 v and 1 d.\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-6)\/(-5) + -2)*-5. Let h(p) = p + 5. Let l be h(-3). Let o = l + 3. Solve -3*s + 1 = -2*k, o*s + d*k + 0*k + 13 = 0 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*o - 4*o + 4. What is the third biggest value in 1\/2, -0.1, o, -2\/9?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 23 + 2?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -7325*q + 7339*q - 308 for q.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4 - 687a6?\nAnswer: -687a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) -0.3 (b) -3 (c) 0.16 (d) 760 (e) -3\/8\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*d - 15*d - 20 = 0 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wwww when four letters picked without replacement from wwwwwwwwvwwww?\nAnswer: 9\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*x**4 - 3*x**2 + 3*x**4 - 10*x - x**2 - 388*x**3 + 461*x**3 + 2*x**2 to i + a*x + p*x**4 + l*x**3 + k*x**2 and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -2*h - 3*h. Suppose 2*t = -3*t + 20. Let b be (t\/3)\/((-6)\/18). Which is smaller: h or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 2 + 3)*(-2*w**3 - 3*w**3 + 3*w**3) + 2*w**3 + 1 - 1 + (w - 4*w + w)*(4*w**2 - 125*w + 125*w) in the form q*w**2 + s*w**3 + g*w + c and give s.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:53 AM and 4:32 PM?\nAnswer: 699","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -2*v + 12. Suppose 0 = -2*u + 5*c - 8, -u + c = 1. Let i(q) = 3. Let x(j) = 1. Let p(k) = u*i(k) - 4*x(k). Give -5*p(d) - r(d).\nAnswer: 2*d - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1\/((-76)\/20 + 4). Suppose 2*p - t = 1. Solve q + p*q = 0 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 2*x - 63. Let u(m) = -21*m - 5. Let i(r) = 31*r + 8. Let z(s) = 5*i(s) + 8*u(s). Let g(y) = -7*y. Let n(b) = 11*g(b) - 6*z(b). What is a(n(v))?\nAnswer: 2*v - 63","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 4 + 2)*(-5*o**4 + 4*o**4 + 0*o**4) + (-30 + 7 - 36)*(-o + 5*o - 5*o)*(-o**3 + 2*o**3 - 7*o**3).\nAnswer: -355*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -47\/45 and -46\/2325.\nAnswer: 6975","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -r**3 + 5*r**2 + 7*r - 12. Let g = -7771 + 7778. Calculate a(g).\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 783668?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 150 - 77. Suppose h*q - 77*q = -1052. Suppose 43 = -5*v + q. What is the remainder when 174 is divided by v?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 + 17 - -12) + (11 - 11)?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that -16*u**4 + 446*u**3 - 2584*u**2 - 7530*u - 900 = 0.\nAnswer: -2, -1\/8, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 88093320 divided by 17618664\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -s**2 - s + 2. Suppose 13 = -5*r + 6*r - 4*d, 0 = 5*r + 2*d + 23. Determine u(r).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.6 - -0.1. What is the closest to -2 in x, 0.5, -0.2?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the third derivative of -34*t**6\/15 + 9*t**3\/2 - 22*t**2. Differentiate i(c) wrt c.\nAnswer: -816*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -k**3 - 3*k**2 - 2*k - 2. Let j(s) = -s**3 + 5*s**2 - 2*s + 4. Let x be j(4). Let l be ((-6)\/x)\/((-2)\/8). Suppose -l*d = 4 - 0. Calculate r(d).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -x**2 + 28*x + 34. Let k be s(29). Let m be -4*(-1)\/k*-5. Which is the biggest value? (a) 2 (b) 4 (c) m (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -52*q**2 + 8*q**4 - 632*q**2 - 6 + 8 - 10*q**4 - 2*q - 2*q**3 to the form a*q**4 + s*q**2 + c + r*q**3 + t*q and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 95*o**2 + 2*o + 1. Let g be j(-1). Let p = -36 + g. Round p to the nearest 10.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 5*b**2 - 10*b - 4. Let n = 17 + -30. Let j = 12 + n. Let x(k) = -k**2 + k + 1. Let t(c) = j*m(c) - 4*x(c). Suppose t(q) = 0. What is q?\nAnswer: 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 106 a factor of 68956?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) be the third derivative of 139*b**6\/60 + b**5\/60 - b**4\/12 + b**3\/3 - 72*b**2. What is the hundreds digit of t(1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is -12 times -2440?\nAnswer: 29280","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1 and 221?\nAnswer: 221","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 11395 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**2 + 20*k + 100.\nAnswer: (k + 10)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 966?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.3 and -222.\nAnswer: -66.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = b**2 - 2*b + 10. Let r be t(6). Calculate the greatest common divisor of r and 136.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 51 + -44. Suppose r*v = 5*v + 4. Suppose 0 = l - v*l + 3*q + 92, 2*l - 189 = 5*q. What are the prime factors of l?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 12677.45751 to the nearest one hundred.\nAnswer: 12700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7700597?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 535 - 532. Let s(f) = f**2 - 4. Give s(j).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1475 + -2640. Let p = v - -22149\/19. Calculate the common denominator of p and 52\/9.\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 47\/(-94) + 2\/(8\/6). Let j be b*8\/(8 - 4). Suppose 4*t + 4*l - 34 = 102, 68 = j*t + 4*l. What are the prime factors of t?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 692256?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 43\/2 of a litre in millilitres?\nAnswer: 21500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 321*x**5 + 116*x**2 + 8*x + 5. Let t(j) = j**5 + 2*j**2 - 2*j - 1. Let w(z) = -p(z) - 4*t(z). Find the third derivative of w(f) wrt f.\nAnswer: -19500*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 22 and 68224.\nAnswer: 750464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -197.569 - 0.431. Let t = 8335316.000326 - 8335514. Let z = t - d. Round z to four decimal places.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a**4\/5 + 8444*a**3\/5 + 9356954*a**2\/5 + 937942632*a\/5 + 24676644168\/5 = 0. Calculate a.\nAnswer: -2057, -54","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u*u**(2\/29))\/u**(2\/11))**(-8\/5))**(-11\/2) assuming u is positive.\nAnswer: u**(1132\/145)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 289441 and 289441?\nAnswer: 289441","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 9533, 9339, 9145, 8951, 8757, 8563?\n\"Answer: -194*k + 9727","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = j**2 - j - 9. Let c be b(0). Let q = c - -14. Let l = 994 - 979. Solve 2*a - 16 = q*o, 1 = 4*o - a + l for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 116 a factor of 3019?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -51 - 90*b - 350*b + 95 - 44 as v*b + y and give v.\nAnswer: -440","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-36*h + 101*h - 23*h)*(0 + 5 - 4).\nAnswer: 42*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.366, 5, -1\/4, -4\/5, 0.3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 640*m**3 - m**2 + 9*m + 10. Let y be v(10). Suppose o + y = -3*o. What is o rounded to the nearest one hundred thousand?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6 + -1. Let u = h + -4. Put 3, -3, u in decreasing order.\nAnswer: 3, u, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/70*2)\/(45*10\/(-2250))\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that -5*v**2 - 40*v - 80 = 0.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -110*l - 33 - 453*l + 75 - 38. Is u(-3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15018 - v - v - 14930)*(-5*v**3 + v**3 + v**3).\nAnswer: 6*v**4 - 264*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + o - 5 - 1)*(0 + 4 - 3).\nAnswer: o - 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tgts when four letters picked without replacement from {s: 7, t: 3, g: 3}?\nAnswer: 21\/2860","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 2*h + 13. Let p be f(-4). Suppose -8 = -a + 2*d, -p*a + a - 3*d + 32 = 0. Let x = 58 - 55. Calculate the lowest common multiple of x and a.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = -3*w + 8*w. Let x(m) = -5 + 4 + m - 3 + 2. Let z be x(w). Calculate the highest common factor of 12 and z.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5599, -12420, -21667, -34552, -52287?\nAnswer: -76084","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -y - 5. Let h be g(-5). Suppose 2*s - 2*l - 8 = -h, s + 5*l - 10 = 0. Solve 0 - s = r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 15215?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*s**2 - 19 - 9 + s - 2*s**2.\nAnswer: 11*s**2 + s - 28","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 35 and 455?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1 * -28.\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1178.\nAnswer: 2, 19, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5 + 38. Suppose -w = 5*b - 133. What is the highest common divisor of 30 and b?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 10) to base 6\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2163776203 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a - 5 = -r, 3*a + r + 9 = 16 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1580096069?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 2938847 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 71 + 163. Let r = 261 - m. Calculate the remainder when 31 is divided by r.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11 - -13102?\nAnswer: 13031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8 + -18. Let l = p + 14. What is the nearest to 1\/5 in -3, -4\/5, l?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-952)\/136)\/(-1*1)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 3\/10 of a day?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -j**3\/3 - 154*j**2\/3 + 6772*j\/3 - 12920\/3.\nAnswer: -(j - 34)*(j - 2)*(j + 190)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -665 + 667. Let m(p) be the third derivative of 0*p**4 + 0*p + 1\/20*p**5 + 0*p**3 + p**t + 0. Let w(b) = 2*b**2. Give w(m(k)).\nAnswer: 18*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 45 and 72.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1\/2 + 19\/4*c + 17\/4*c**2 = 0. What is c?\nAnswer: -1, -2\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 4*l**2 - 9*l**2 + 3*l**2 - 15 - l**2 - 8*l. Let k be z(-3). Is k greater than or equal to -16?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at most as big as 19\/1273563?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 2, s: 6}. What is prob of sequence sssf?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*d = -4*n + 64 - 70, 2*d - 3*n - 16 = 0 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -144*u - 1308. Let z be c(-26). Calculate the highest common divisor of 84 and z.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 382426394?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a centimeter in micrometers?\nAnswer: 2500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3 - 3 - 2)*(0 + 2 + 2) - 120 + 35 + 56)*((-j**3 - j**4 + j**3)*(-3 + 3 - j) + 2*j**4 - 2*j**5 - 2*j**4).\nAnswer: 37*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 9, b: 4, g: 2, l: 1}. What is prob of picking 3 b and 1 l?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 861*u**2 + 59*u - 102. What is the thousands digit of w(2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u - 33 = 2*u - 25 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -15743362, -31486727, -47230092, -62973457, -78716822, -94460187?\nAnswer: -110203552","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 870?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -2*m**3 - 4*m**2 + 4. Let x be i(-2). Suppose 0 = -k - x*t + 1 + 2, -k = -t - 3. What is the remainder when 11 is divided by k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = q**2 - 3*q + 2. Let b be j(5). Let s be 2\/(-6) + 112\/b. Let m(o) = s - 8 + 0*o**3 - o**3. Determine m(-1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 6480603236?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 206983 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 3*u + 16. Let y be g(3). Let r = -20 + y. Solve 0*l = r*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -709666, -709666, -709662, -709654, -709642, -709626?\nAnswer: -709606","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m + 12. Let d be r(-10). Suppose 5*b + 2 = -3*c + 4*c, c - b = 10. Suppose 5*p = -20, -4*p - c = -d*o + o. Put 0, o, -2 in decreasing order.\nAnswer: 0, -2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g + 30 = 4*u, 4*u + 2*g = 4*g + 2 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -4*w**3 + 205*w**2 - 55*w + 207. Let b be q(51). Solve 5*y = -5*d + 45, 5*d = 2*y + b*y - 15 for y.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -59*x - 15 = -29*x - 27*x. What is the fifth biggest value in 0, 1\/5, 0.7, x, -1\/5?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1260996458 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: Subtract -114 from 194039741463.\nAnswer: 194039741577","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -197, -199, -203, -209, -217, -227, -239?\n\"Answer: -a**2 + a - 197","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 50276 by 4.\nAnswer: 12569","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 6843 < 6843?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 51 and 272?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5566 divided by -2.\nAnswer: -2783","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -l**3 + 2*l**2 + 7*l - 9. Give u(3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*(-1)\/14 - 261\/(-63).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -693*b - b**3 + 2*b**2 - 7*b**4 + 691*b - 10*b**4 + 4 as z*b**2 + s + f*b**4 + v*b**3 + m*b and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 66 and 743403243?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -822 divided by -274?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (51 + -45 - (-5 - 1)) + -7 + 1.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 238 and 5264356.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -41\/23661 and 61\/18.\nAnswer: 47322","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w**3 + w**2 + 6. Let f be (-2 - -2)\/(4\/(-2)). Suppose f = -g - g. Suppose g = -0*y + 4*y. Give c(y).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -65 - -64.4. Which is the third smallest value? (a) h (b) 5\/2 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 7*d**3 - 13*d**2 + d + 9. Let z(v) = 0*v**3 + 0 - 6*v**2 + 4 + 3*v**3. Let t(b) = 2*j(b) - 5*z(b). Let f = -2 + 6. Calculate t(f).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -578 + 588. Solve 0 = -2*k - 4 + w for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + (-2*6\/4 - -5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(104) - (3*(sqrt(104) - sqrt(104)*-2) - sqrt(104)))\/(-2*sqrt(200)).\nAnswer: 7*sqrt(13)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -113.75 in 5, -8.2, -3?\nAnswer: -8.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -t + 6. Let b be c(-2). Suppose -11*h + b = 2*u - 7*h, h = 5*u - 64. Calculate the highest common factor of u and 108.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (0 - 951\/(-9))*3. Suppose -m + 99 = 3*z, -z = 3*m - l + 20. Suppose 2*i - 37 = i - 2*b, 2*b = -3*i + m. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000008726 rounded to 7 dps?\nAnswer: 0.0000087","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 587 + -622 - (1 + -18)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -2565*c + 9515. Give y(4).\nAnswer: -745","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -136 divided by -4\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 402193488?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 (base 8) in base 15?\nAnswer: d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -89.74 - -88. What is c rounded to one dp?\nAnswer: -1.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.8967084, 0.2, 2?\nAnswer: -0.8967084","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 138*i - 137*i + 17. Let u be -1*26 + -10 + 7. Let z = i - u. Solve 4*t = 4*d - z, -d + 6*d - 11 = 3*t for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = x - 60. Suppose -5*v - x = 3. Let i(s) = s**2 + 23*s. Let w be i(-23). Sort w, -4, v in decreasing order.\nAnswer: w, v, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 9*v - 210 = 0. What are the prime factors of v?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1763662 smaller than -1763664?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4239 + -1?\nAnswer: 4238","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w + 54 - 68 = -5*m, 0 = 4*m + 6*w - 28 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7\/((-3)\/18*(-134 + -2029)).\nAnswer: 2\/103","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-156)\/(-42) + (-11583)\/2604 and 1\/3*(-113)\/4.\nAnswer: 372","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2*(1 + 26\/4). Let h = 22 - n. Suppose -3*m + h = -2. 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 (108\/(-144))\/(9\/(-8))?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -11 - -15. Let j = -12 + 5. Let p = j + f. Sort 0.5, -2, p in decreasing order.\nAnswer: 0.5, -2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l and 1 w when three letters picked without replacement from {i: 5, w: 4, l: 5}?\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60*v - 16*v + 132 = 0. Let i(u) = -u + 11. Let x be i(0). Put x, -5, v in decreasing order.\nAnswer: x, v, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-22 - -8) + (2 - -3) + 1.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 + 3019\nAnswer: 3018.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.4155 + 0.0155. Let u = 0.347 - -0.053. What is the nearest to m in u, 3, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 19*10\nAnswer: 190","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate y**4 - 459*y**3 + 15935*y**2 + 21132649.\nAnswer: 4*y**3 - 1377*y**2 + 31870*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*q**5 + 115*q**4 - 815*q**3 + 1805*q**2 - 1600*q + 500.\nAnswer: -5*(q - 10)**2*(q - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 3885679937 a multiple of 2154?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-seven halves of a meter in millimeters?\nAnswer: 18500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 15371 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(0 + sqrt(171) - (2 + sqrt(76))).\nAnswer: -10 + 5*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is b (base 13) in base 6?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 138 or 1?\nAnswer: 138","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 252, 485, 718, 951?\n\"Answer: 233*u + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 4, -78, -4, 490, 1 in descending order.\nAnswer: 490, 4, 3, 1, -4, -78","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 457831405?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -4894, -9585, -14278, -18973, -23670, -28369, -33070?\n\"Answer: -i**2 - 4688*i - 205","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4 (b) -3 (c) 0.6 (d) 30 (e) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1624210 to the power of 1\/3, to the nearest integer?\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) be the third derivative of g**8\/336 - g**7\/84 + g**6\/72 + 7*g**3\/3 - 13*g**2. Let l(d) be the first derivative of x(d). Solve l(m) = 0 for m.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 114 + -112. Let -3*c**3 + 6\/5 - 27\/5*c + 36\/5*c**a = 0. Calculate c.\nAnswer: 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -16 + 2*s + 4 - 1. Let n be q(9). Let k be (7 - 62\/10)\/((-2)\/(-5)). Solve n = -k*d - 1 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 221 = -2*y - 6*a, -507 = 4*y - 3*a. What are the prime factors of y*(-1 + -4 - 0\/7)?\nAnswer: 3, 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -179\/2226 and 43\/78069.\nAnswer: 1092966","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + b - 5*s = -30, 0 = s - 4. Let l be (0\/3)\/b - 0. Let r = -5.32 - -5.62. What is the third smallest value in l, -5, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 94893925 a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*i - 3*i - 5*i + 3 - 3.\nAnswer: 4*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -416922, -416976, -417030, -417084, -417138, -417192?\n\"Answer: -54*y - 416868","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -9 - -26. Let q be 33 + 0 + (2 - 1). What is the greatest common factor of q and v?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 3*g = 0. Round g to six dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 173*x - 200 + 200 + (-3*x + 0*x + 2*x)*(2 - 1 - 4) + 0*x - 5*x + x as l*x + j and give l.\nAnswer: 172","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1 - d8?\nAnswer: -d9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*q + 12 = -3*q. Suppose 0 = -x - q*m - 2, 2*x + m - 2 = -m. Factor -4*f - 2*f**2 + 2*f**2 + 4 + f**x + 0*f**2.\nAnswer: (f - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 times -190?\nAnswer: -950","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a kilogram in milligrams?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -8471*f*n**2*x**2 - 34*f*n*x - f*n + n**2*x**3 - 2*n*x - x**3 wrt n?\nAnswer: -16942*f*x**2 + 2*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6671378 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(3520) + -5*sqrt(3520))*-5)\/(sqrt(539)*6*4*-5).\nAnswer: 8*sqrt(5)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-84 - 20*p + 84)*(-2*p + 2*p + p**2).\nAnswer: -20*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -d + 10. Let i be f(5). Suppose 256 = 2*s - 4*t, -519 = -4*s - t + 29. Suppose -i*q + q = -s. What are the prime factors of q?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in -22\/7, 3, -4\/3, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -3765*x + 14555. Give u(4).\nAnswer: -505","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of d**3 + 942*d**2*z - 225*z wrt d?\nAnswer: 3*d**2 + 1884*d*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 756027 * -24\nAnswer: -18144648","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*t + 5*p - 22, 4*t + 14*p = 16*p - 14 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -x**2 + 5*x - 6. Let f be b(3). Let c be (0 + 1)\/((-4)\/(-8)). Is (f + 1)\/(c\/470) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3080953?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -19*i - 19*i + 9*i in the form z + q*i and give q.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-6 + 3)\/(6\/(-3832)). Suppose 6 = 2*a, -u - 4*a = -5*u + n. Let l = 195 + u. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 758.\nAnswer: 2, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 366\/305*(17\/(-4) - -4)\/(3\/40)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2.78 + -0.12. Let x = 0.1 - q. Suppose 2*d = 2*m, 3*d + 4 = m - 2. Which is the biggest value? (a) x (b) -2 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kki when three letters picked without replacement from {y: 2, i: 3, g: 4, v: 2, j: 1, k: 2}?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 13992?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2 + -1. Let h be (v - 3)\/((-6)\/1580). Suppose -h = -2*f + f. What is f rounded to the nearest one hundred?\nAnswer: 1600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 413753 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (o + 0*o + 4*o)*(0*o - 7*o - 2*o) - 64*o**2 + 32*o**2 - 36*o**2 + (1 + 2 - 1)*(2*o**2 + o**2 - 4*o**2) to the form q*o + x*o**2 + m and give x.\nAnswer: -115","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r - 300 = -291 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -22.4 + 22. Which is the nearest to -0.19? (a) -5 (b) -2 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -30 - -32. Suppose 4 = -2*j, 0 = b*a + j - 3*j - 102. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 6 = 5*s + 6*w, 6 = -4*s - w. Let x be -1 - (1 + -2 + s). Let -1\/2*l**x + l - 1\/2 = 0. What is l?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(243) + (-1*sqrt(243)*-1)**2 - (sqrt(243) + -3*(1 + sqrt(243)) - sqrt(243))**2).\nAnswer: -11718 - 918*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = 5*w. Let a be (6\/(-9))\/(22\/(-225)). Let u = 7 - a. Which is smaller: u or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*w = -42840 - 5949. What is the tens digit of w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -l**2 + 12*l + 60. Determine u(8).\nAnswer: 92","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/(c*c\/(c*(c\/c**3*c)\/c*c))*c*c\/c**(-5\/4)*c*c)**42)**(2\/35) assuming c is positive.\nAnswer: c**(51\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 30*t**2 + 3*t + 2. Let x be u(-2). Let a = 69 + x. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 0*k = 10. Suppose -7*n + 3*n = x, 3*x = -k*n. Let q be 3*(-1 + x) + -2. Which is the smallest value? (a) 3 (b) -2\/7 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by 1?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 223543 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -4, 314 in descending order.\nAnswer: 314, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is c in 41*c - 6*c - 139*c**2 + 134*c**2 = 0?\nAnswer: 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 126 and 4221.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = n**2 + 30*n + 25. Let y be c(-33). Suppose -y*i = -125*i + 2. Solve -f - 4 = i*b, -3*f = 2*b + 13 - 5 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eighteen fifths of a tonne in kilograms?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -16.5 from 13.\nAnswer: 29.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a milligram in micrograms?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6480*m - 410 = 3261*m + 3260*m for m.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cjrwnpwpnwcwrc. Give prob of sequence wcj.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = 5*m + 1, 0 = 2*m + 673*t - 669*t + 4. Let w(i) be the first derivative of m*i**2 + 0*i - 4\/3*i**3 - 18. Let d(n) = -8*n**2. Give w(d(s)).\nAnswer: -256*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:11 AM and 2:51 AM?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, 0.04086, -3 in descending order.\nAnswer: 7, 0.04086, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 22981717373 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6 + 11. Let g = -13.5 - -9. Let l = u + g. Round l to one dp.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yuu when three letters picked without replacement from {p: 2, y: 1, b: 1, u: 2}?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*n**2 - 2 + 2)*(0*n + 3*n - 2*n + (0 - 3 + 0)*(-3*n + 0*n + 2*n) + 2*n - 3*n - 2*n).\nAnswer: 3*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 786 and 7734.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 80.37375 less than 0.53?\nAnswer: -79.84375","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = -2*c - 3 - 18, 4*i = -3*c + 3. Let y be 595\/34*8\/10. Suppose 5*x + y = 4*l - 34, 0 = -2*x. Solve 0 = -0*u - i*u + l for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -f**2*h*p**2 + 35*f**2*p**3 + 5*h**2*p**3 + 26*h**2*p**2 - 8*h**2 wrt p.\nAnswer: 210*f**2 + 30*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1938351*s**5 - 156*s**4 - 398825*s**2 - s - 19 wrt s?\nAnswer: 116301060*s**2 - 3744*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (21 + 22 - 160)*(2 - 4 + 6)*(g - 1 - 3*g + g).\nAnswer: 468*g + 468","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the second derivative of j**6\/10 - 3*j**5\/20 - j**4\/4 + j**3\/2 + 8*j. Let w(z) = 0. Calculate z.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-2)\/m)**(-49))**(-48) assuming m is positive.\nAnswer: m**(-7056)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (-3*(sqrt(130)*1 + sqrt(130)) + -5*-1*sqrt(130) + sqrt(130))\/(3*(sqrt(640) + sqrt(640)*3)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 4*q = -6*f + 62, -5*q = -4*f + 25. Let c = 632 + -500. Calculate the smallest common multiple of f and c.\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1017, 0.4, -6\/7, -30?\nAnswer: -30","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3\/953 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 2 i when three letters picked without replacement from invvinvnniv.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2952\/(-82)*(1\/6)\/((-2)\/(-6)).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 21 and 149040.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 216417704 to the power of 1\/2, to the nearest integer?\nAnswer: 14711","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -250 + 392. Let z = -141.9999906 + o. Round z to six decimal places.\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - 1 - (62 + -113 + 59)) + -5 + 11.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7232577 (base 8) to base 6.\nAnswer: -105010115","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -87*y - 110 = -2*n - 86*y, -3*y - 18 = 0. Solve -97*c = -110*c - n for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -8*o**2 + 2*o + 7. Let i be (-21)\/(-6) - 2\/(-4). Let c(p) = -3*p**2 + p + 2. Let l(s) = i*w(s) - 11*c(s). Does 10 divide l(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 55000 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -93 - -241. Is 16 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 + 12 - (25 - 13)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -6*v**2 + 98*v - 5. What is c(17)?\nAnswer: -73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6238184 is divided by 66.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cntnhcccntthhn. Give prob of sequence chcc.\nAnswer: 3\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 166965 is divided by 7840.\nAnswer: 2325","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*h - 93 - 102. Suppose 6*s = s + h. What is the remainder when s is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 111918?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -30*n. Let d(x) = -2*x**2 + 2*x - 19. What is a(d(w))?\nAnswer: 60*w**2 - 60*w + 570","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 100\/(-1375)*11*(1 - 6). Let p = -13855 + 20447. Suppose 4*x = 20, p = 5*i + o*x - 7223. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -2 (b) 0.4 (c) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -m. Let x(r) be the second derivative of r**6\/120 - r**3\/6 - r. Let h(g) be the second derivative of x(g). What is h(u(t))?\nAnswer: 3*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 502 minutes before 10:10 PM?\nAnswer: 1:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -21*n + 1663 - 466. Let z be n\/38*(0 + 4). Solve -c = 4*t + 7, 4*t + z*c = 2*c - 16 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 79918 and 31?\nAnswer: 79918","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2570 - -2419.7. Let l = v - -161. Round l to the nearest integer.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yy when two letters picked without replacement from yyyyyyyyyynyyyyyyy.\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -2*c**3 + 3*c**2 + 2*c - 1. Let i(a) = 5*a**3 - 7*a**2 - 5*a + 2. Suppose -3*y = -4*h + 37, h - 8 + 39 = -5*y. Give y*r(w) - 3*i(w).\nAnswer: -w**3 + w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (0 - -1)*(2 - -30). Let j = a + -18. Suppose 0 = 5*h + 2 - 37. Calculate the greatest common divisor of h and j.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -546 and -14.67?\nAnswer: 8009.82","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.009954771 to six decimal places.\nAnswer: 0.009955","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -10*q - 35. Let i be n(-4). Suppose 18 = -2*x + 5*x - v, i = -2*x - 5*v. Solve -x*g = -2*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 13776952 and 168.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = q + 15. Is g(-10) a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -15073, -120970, -408405, -968146, -1890961, -3267618?\n\"Answer: -15128*u**3 - u**2 + 2*u + 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5 - -3) + (-3 - 0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5517308 and 1.\nAnswer: 5517308","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-28)\/(-165))\/((-143)\/858)*(-870)\/696?\nAnswer: 14\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*s + 63 + 33. Suppose -19*o = -s*o - 119. What is the highest common factor of 119 and o?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.1, -2, 622?\nAnswer: 622","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in nine tenths of a litre?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 950, 171 in descending order.\nAnswer: 950, 171, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14505338?\nAnswer: 2, 7252669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 2, i: 2, g: 1, w: 1, u: 2, s: 1}. What is prob of sequence igug?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 46, 168, 364, 628, 954, 1336, 1768?\n\"Answer: -r**3 + 43*r**2 + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0\/(-2 + 1 + 2). Let k = 46 + -41. Suppose -g = -l*g - k*t + 5, -5 = g + 4*t. Sort 4, -2, g in increasing order.\nAnswer: g, -2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 23803 and 52?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -853 greater than -849?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 11010 divided by -5\nAnswer: -2202","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) be the second derivative of -q**6\/15 + 13*q**5\/5 + 39*q**4\/2 - q**3\/2 + 90*q - 1. What is the third derivative of x(t) wrt t?\nAnswer: -48*t + 312","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 487756 to the power of 1\/2, to the nearest integer?\nAnswer: 698","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (3 + -1)*(-87)\/(-6). Suppose 5*b = i + 141. Is 13 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 130*y + 6636. What is h(-51)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 101001010111101 (base 2) to base 9.\nAnswer: 32044","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**1\/p)**(-5\/6)*p**0\/p*p*p*p**0)\/((p\/(p\/(p**(-6\/11)*p))*p)\/(p*p**(-2)\/p)*p**6\/(p*p**3)) assuming p is positive.\nAnswer: p**(-49\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -21906364*o + 42840103 wrt o.\nAnswer: -21906364","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*s + 0*s - 4*s)*(1 - 2 - 1)*(8*s**2 + 0*s + 0*s).\nAnswer: 32*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 14*x + 50. Let w(z) = 7*z**3 + 3*z**2 + z + 3. Let a(y) = -y**2 + y + 3. Let b(o) = x*w(o) + 4*a(o). Factor b(j).\nAnswer: -4*j**2*(7*j + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -50*h**4 - 7*h**3 - 7*h**2 + 7*h + 33. Let c(f) = -33*f**4 - 5*f**3 - 5*f**2 + 5*f + 22. Let y(r) = -7*c(r) + 5*v(r). Differentiate y(b) wrt b.\nAnswer: -76*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:05 PM and 5:55 PM?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 3*o**2 - 333*o + 691. Give k(108).\nAnswer: -281","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 14790 to the nearest one thousand.\nAnswer: 15000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 4\/(112\/6)*((-128)\/4)\/8\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -21*r + 24*r. Is 5\/(10\/16708) - (2 - r) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 67\/4 of a hour?\nAnswer: 1005","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-two fifths of a centimeter in millimeters?\nAnswer: 84","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/11 + 6\/154. Let r be (18\/(-14))\/(12\/8). Sort r, -2\/3, a in ascending order.\nAnswer: r, -2\/3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/k**(-4))\/(k\/(k**(2\/15)*k))*(k*(k**(-1\/2)*k)\/k)**(-8))\/(k**(-4\/9)*k*k**(1\/4)\/k*k\/(k*k**(-2))*k*k\/k**(2\/5)) assuming k is positive.\nAnswer: k**(-409\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 3134, 2594, 1690, 422, -1210, -3206, -5566?\n\"Answer: -182*y**2 + 6*y + 3310","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = -2*a - 3*g + 4, -3*a + 5*g + 38 = 0. Let k = 44 - 44. What is the nearest to k in 5, a, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 19*n - 8*n - 12*n + 298*n**3 - 2*n - 1 to m + v*n**2 + i*n**3 + s*n and give i.\nAnswer: 298","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4856400.00062 - -4856475. Let r = -146 + 71. Let i = z + r. What is i rounded to four dps?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - s + 11 = 0, 8*s + 26 = 2*u + 3*s. Solve -2*t - 15 = 5*b - 6*t, t = 2*b + u for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -k**3 - 470*k**2 - 53704*k + 69. Determine a(-196).\nAnswer: 69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 107 + 2*j**3 - 56 - 53 - 5*j - 2*j**3 + 10*j**2 + 2*j**3 to the form o*j**3 + m + i*j**2 + l*j and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -28147 + 28147.5. Put 21, g, 44 in decreasing order.\nAnswer: 44, 21, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -h**2\/4 - 3*h\/4 + 1.\nAnswer: -(h - 1)*(h + 4)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -18*a. Let u(c) = -6*c**2 - 3. Let o(k) = 5*k**2 + 2. Let v(q) = 3*o(q) + 2*u(q). Determine y(v(d)).\nAnswer: -54*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 46 + (39 - -28 - 81).\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.642569 litres to millilitres.\nAnswer: 7642.569","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (9\/15)\/(4\/(-20))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1361.433 millilitres in litres?\nAnswer: 1.361433","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/3, 148, 251, -1\/2, -13?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/4 (b) -16018 (c) -1\/8 (d) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5640 = 2*t + 2*u, -3*t + 25*u - 30*u + 8466 = 0. Is t a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 12 and 149592.\nAnswer: 149592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = p + 2*d - 11, -p + 0*d - 4 = -d. Let r = p - -1. Calculate the remainder when 4 is divided by r.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve z + 15 + 45 = -309*l + 314*l - 36, -2*l + 62 = -24*z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -33*n + 34*n - 6, 4*l - 4116 = -2*n. What is the least common multiple of 1596 and l?\nAnswer: 14364","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -t**3 + 3*t**2 - t - 8. Let l(a) = -2*a**3 + 7*a**2 - 2*a - 15. Let u(o) = 2*l(o) - 5*x(o). What is the tens digit of u(4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -37 + -281?\nAnswer: -308","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 310.1 - 310. What is the biggest value in 1\/2, o, -118?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15135349 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5)\/2*-58)\/(71\/(-1136)*40).\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 230, 2359, 8190, 19583, 38398, 66495, 105734?\nAnswer: 157975","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1889*m - 3*m**3 - 1809*m - 3*m**3.\nAnswer: -6*m**3 + 80*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = -3*z - 6, 2*z + z = 2*a - 16. Let d(r) be the first derivative of -a + 1\/2*r**2 + 0*r. Let x(p) = 4*p**2. Calculate d(x(f)).\nAnswer: 4*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-8)\/(-12))\/((-4)\/(-42)). Let j be (-17)\/s + 3 + -1. What is the closest to -1 in 1, -0.5, j?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*q + 0 + 0)*(-2 - 9*q + 2) + 4*q**2 - 2 - 3*q**2 - 2*q**2.\nAnswer: -19*q**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -10 - -34. Let c be -2 + 4 - (2 - 3). Suppose 0 = 2*s + 6, -c*f + 5*s = -33. Calculate the highest common divisor of f and u.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 1016*u - 1784. List the prime factors of p(8).\nAnswer: 2, 13, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1200 and 144.\nAnswer: 3600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (154\/21)\/11 - (6 - 6). Which is the closest to 8? (a) k (b) 3\/5 (c) 4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -4\/5, 0.008, 3, 97 in descending order.\nAnswer: 97, 5, 3, 0.008, -4\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = o**3 + 23*o**2 - 25*o + 3. Suppose 5*i - t = 31, 2*t - 22 = -4*i - 0*t. Let p = 21 - i. Calculate the remainder when w(-24) is divided by p.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-14 + 3 + 3)\/(-2). Suppose k*o - 3*o - 108 = 0. Let r be o\/26 - (-8)\/(-52). Is r equal to 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*f**2 - 64*f**2 + f**3 - 6*f**3.\nAnswer: -5*f**3 - 51*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that 3*m**3\/4 - 18626641*m**2\/4 - 12417765*m - 6208883 = 0.\nAnswer: -2, -2\/3, 6208883","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -897*a + 279*a + 92450 = 457*a for a.\nAnswer: 86","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2301?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: ((-9)\/(162\/(-72)))\/(3\/30*2)\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 93298*j**3 - 466595*j**2 + 525*j = 0. What is j?\nAnswer: 0, 105\/93298, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-521*f - 271*f + 194*f)*(-1 - 3 + 2).\nAnswer: 1196*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**5\/(z*z**(-6)*z))\/((z**(-3)*z)\/(z**(2\/3)\/z*z))*z\/z**(-5)*z**(1\/3)*(z**(2\/5)*z)**(-2\/15) assuming z is positive.\nAnswer: z**(1336\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2986 or -2\/75?\nAnswer: 2986","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -18 - -20. Suppose -o*l + 14 = 8. Solve 3*y - z = 4 - 20, -l*z = -4*y - 23 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -118*z. Let b(p) = -1716468*p**2. Calculate l(b(m)).\nAnswer: 202543224*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-12)\/(-14))\/6 - 15521\/12852 and 127\/108?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-15)\/(-12))\/(175\/224).\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 100\/2 + 45\/((-1215)\/432).\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -62255 by -12451.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -19435 - -19442.937. Let q = g - 7.9. What is q rounded to two decimal places?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 10\/((-16)\/(-12) + -2). Suppose 5*g + 140 = -3*s, -2*g - s + 2*s = 67. Let z = p - g. Does 3 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 19 - 13 = 0. Suppose 3*g = -3*q - p, -q = 3*g - 3 - 1. Find the third derivative of -5*j**6 + 10*j**2 - 8*j**6 + g*j**2 wrt j.\nAnswer: -1560*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2803297 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -u**2 + 23*u + 108. Determine t(-4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 742 - 442. Suppose -8*u = -4*u - k. Is 12 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4)\/(-4) + (146 + -1 - -1). Let x be (-17)\/((-119)\/(-294))*(-1)\/2. Calculate the greatest common factor of l and x.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in -3, -14, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 559810 is divided by 4407.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 59*k*n**3*o + 4*k*n**3 - k*o - 3*k - 604*n**3 - 87*n**2*o**4 wrt o?\nAnswer: 59*k*n**3 - k - 348*n**2*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -3*c - 5*i, 5*c - 5 = -7*i + 3*i. Suppose -c*h + 54 = -2*h. Calculate the least common multiple of 27 and h.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3 - 226*o**3 + 127*o**3 - 170*o**3 + 1 wrt o?\nAnswer: -807*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1 - -7. Suppose 0 - l = i - 3*r, 2*i + 2*r - 4 = 0. Factor -1\/4*j**2 + i + 0*j.\nAnswer: -j**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 54 and 216.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (14160\/(-5192))\/(10\/(-44))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hhiw when four letters picked without replacement from hhkiw.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4541*v**2 + 2172.\nAnswer: -9082*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.125 + -0.125089. Round o to five dps.\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -180128, -180279, -180430, -180581, -180732?\nAnswer: -180883","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1366 - -81876. What is the hundreds digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 645 + -3871\/6. Let g be -2 + 1*(3 - 2). Let z = g + 0. Which is greater: h or z?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2044 is divided by 228?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 22\/18 + 6\/(-27). Let m be 0\/(i*(2 - 3)). Suppose m = g - 2*g + 21. What is the tens digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11*(-11)\/(-847) + (-4)\/(-168)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -22486199, -22486188, -22486177?\nAnswer: -22486166","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 1, d: 2, a: 1, j: 3, i: 5}. Give prob of picking 2 i and 1 l.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 3*p + 78 = -68, 3*p + 118 = 4*g. Suppose 26*j = g*j. What is the biggest value in j, -4, 6\/7?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 70.579 to one dp.\nAnswer: 70.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve v + 2768*t - 15 = 2764*t, 0 = -2*v + 5*t - 22 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1273246, 1, -4, -3 in descending order.\nAnswer: 1, -3, -4, -1273246","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2, 40577, 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -217 - -465. Suppose 17*n - q = 15*n. Suppose 0*c - 2*c + n = 0. Does 10 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -45 - -93 - 19 - 32\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Expand -7*z**5 + 8*z**5 - 4*z**5 + (3*z**2 + 2*z**3 - 3*z**2 + 3*z**2)*(-38 + 2*z**2 + 38).\nAnswer: z**5 + 6*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 10332 and 6724.\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 25\/36786 and -79\/1275248?\nAnswer: 3825744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 254892541 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2919 = -17*s - 182. Suppose s*b - 154*b - 3913 = 0. What is the hundreds digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve v = -4, g + 2*g - 3*v - 26 = -4*g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -w**2 - 2*w + 3. Let a be m(2). Let z = -3 - a. Suppose 4*s = 5*x + 93, 5*s + 3*x - 15 = 92. Calculate the highest common divisor of z and s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -27*y + 50. Let z(k) = -7*k**2. Determine d(z(r)).\nAnswer: 189*r**2 + 50","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 432 minutes before 5:54 PM?\nAnswer: 10:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 1\/7 (b) 11 (c) 12 (d) -0.1 (e) -2 (f) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10)\/1*(728\/28)\/286?\nAnswer: -10\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g + u + 339 = 347, -2 = g - 2*u for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -1 * -128\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1801*5142.\nAnswer: -9260742","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 86111?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 5716 a multiple of 84?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out 79704 * -0.5.\nAnswer: -39852","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 268, 1011, 3110, 7243, 14088, 24323, 38626?\n\"Answer: 113*n**3 - 48*n + 203","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iewiwubwnuwuuew. What is prob of picking 1 b and 2 i?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjvvjvvjjj. Give prob of sequence vv.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w + 4*z = -37, 1 = -7*w + 8*w - 2*z for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) be the first derivative of -h**4\/4 + 22*h**3\/3 + 639*h**2\/2 + 3240*h + 2918. Let x(v) = 0. What is v?\nAnswer: -9, 40","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*j = -22*j - 6. Suppose -3*k = -s + 4*s - 231, j*k + 65 = s. Is s at least as big as 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in -5, 2, -0.1, -0.8?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*k - 2130 = 3*k. Let v = -288 + k. Does 23 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 4 - 2 - 4 + 1396*j - 1394*j. Let z(a) = -a - 1. Let c be z(-4). Determine g(c).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3.7 - -0.7. Let c = -4.04 + 4. Let b = c - -5.04. What is the third biggest value in 2\/9, k, b?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1 - 1) + (-6)\/(-2). Suppose -m*v + 57 - 6 = 0. List the prime factors of v.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the second derivative of -1\/190*s**5 - 5\/114*s**4 + 13*s - 4\/19*s**2 + 0 - 8\/57*s**3. Let l(d) = 0. What is d?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -21, -28, -31, -30, -25, -16?\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 229.\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -278251, -278236, -278209, -278170, -278119, -278056, -277981?\nAnswer: -277894","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3565857 - 2405975 = 175*m - 4019768. Does 69 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((1 + sqrt(1900) + 1 + 0)**2 - ((0 + -1 + sqrt(1900))**2 - (3 + sqrt(1900) + 1 + sqrt(1900)))) + 2)*-4 + 1.\nAnswer: -320*sqrt(19) - 35","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2277\/12)\/(-11)*8*(-3)\/(-72)?\nAnswer: -23\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (103\/3399)\/(7 - (-207)\/(-27))*-2\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*d = -15*d + 46. Suppose 0 = 5*t - 3*a + d, 0 = t - 0*t + 4*a - 18. Solve o - r - 4*r = -15, 5*o + t*r - 6 = 0 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -83*v + 77 = -6*v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 212975 is divided by 29?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: ((-5)\/(-60))\/(8\/120)*34\/1071*-9\nAnswer: -5\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lyc when three letters picked without replacement from ycsiilpyiyccclscci?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 98 and 266.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/7, -1, -38 in ascending order.\nAnswer: -38, -1, 3\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -36*-60*25\/(-1350)*(-6)\/(-5)?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -29, 0.21, -2\/5, 2\/7, -3\/2, 9179?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -38*t**3 + 2*t - 2*t + 2789 - 2789.\nAnswer: -38*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in fourty-five eighths of a tonne?\nAnswer: 5625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -55.1 - -52.1. Let m = p - -2.9. Sort 2, m, 70 in descending order.\nAnswer: 70, 2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(10)\/(sqrt(5) - (-3*sqrt(720) + sqrt(5))).\nAnswer: sqrt(2)\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 308656043 and 262?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3 - -3010311?\nAnswer: 3010303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -3*z + 21. Let t(w) = -2*w + 14. Let g be 4\/14 + (69\/(-21) - 2). Let n(d) = g*m(d) + 7*t(d). What is the remainder when 14 is divided by n(11)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -2*v**2 - 8*v - 11. Determine h(-7).\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 24*x. Let i be u(2). Which is the third biggest value? (a) i (b) -5 (c) 0.1 (d) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-146)\/(-2) - (-18)\/18. Which is greater: -1 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -15, -3, 5, -8, -66, 0 in decreasing order.\nAnswer: 5, 0, -3, -8, -15, -66","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 107\/869800 and -9\/174938525.\nAnswer: 1399508200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -m**3 - m**2 + 15*m + 14. What is y(0)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -10*m + 0 + 40*m**3 + 45*m - 2 - 17*m - 20*m in the form o*m**3 + g*m**2 + c*m + d and give o.\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 32110131100 - 0?\nAnswer: 32110131100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1 + 13. Let d = -7 + t. Solve 25 = d*u, 3*b + u - 4 = 2*b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the third derivative of -s**5\/10 - 22*s**3\/3 + 53*s**2. Let o(k) = -2. Let l(y) = -44*o(y) + 2*p(y). Let f(m) = 6*m**2. Calculate l(f(c)).\nAnswer: -432*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 295653013 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*k - 5*f + 11 - 3, 0 = -3*k + 3*f. Let y = -6 - -5. Let d be (-2)\/(3\/(y - 2)). Sort d, 0, k in decreasing order.\nAnswer: k, d, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((2\/11)\/((-630)\/4620))\/((-1)\/((-45)\/(-20)))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4280996 to the nearest integer?\nAnswer: 2069","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -3 - 16*l + 4 - 18. Is d(-9) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 2*b + 29 = 0, -26 - 15 = c - 5*b. Let z be 8 + (-7)\/(c\/(-9)). Solve d = z*d - 8 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (6 - (-28)\/(-8))*(3 - -15). Let y = 99 - h. List the prime factors of y.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i when two letters picked without replacement from iiidllllihldllhlhhl?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 8? (a) -53 (b) 1\/3 (c) -0.4 (d) -28\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 23, -580 in descending order.\nAnswer: 23, 5, -580","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that -t**4\/4 + 13*t**3 + 81*t**2\/2 + 41*t + 55\/4 = 0.\nAnswer: -1, 55","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -19? (a) -2\/5 (b) -0.3 (c) 3 (d) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, -8, -3.\nAnswer: -8, -3, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -9*k - 44 - 44 - 14*k + 40*k - 43*k**2 - 19*k wrt k.\nAnswer: -86","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 19, 30, 71, 154, 291, 494, 775?\n\"Answer: 2*l**3 + 3*l**2 - 12*l + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 8*y**2 + y - 1. What is the tens digit of b(6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*p + 5 = -34*p. Is (-15488)\/(-33) + p\/3 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43 = -4*u + 13. Suppose u*b + 66 = 36*b. Solve 0 - 4\/9*j**2 + 0*j - 2\/9*j**b = 0 for j.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is m in 44*m**4 + 36*m**3 - 52*m**2 - 36*m + 8 = 0?\nAnswer: -1, 2\/11, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -5, 1, 13, 0, -14.\nAnswer: -14, -5, 0, 1, 4, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 414 - 2489\/6. Which is the closest to 0? (a) -0.2 (b) -0.4 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0*(-2)\/4 + 3. Let r(b) = b**2 - 2*b - 1. Let l be r(y). What is the third derivative of 5*k + l*k**2 - 4*k**2 - 2*k**6 - 5*k wrt k?\nAnswer: -240*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 27 and 5298.\nAnswer: 47682","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 1101, -280, 2, -3, 1 in decreasing order.\nAnswer: 1101, 2, 1, -3, -280","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -141677 + -149669. Let d = t + 291345.98999967. Let r = -0.01 - d. Round r to seven dps.\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 m when two letters picked without replacement from mmaaaamampammammaam.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 8 + -6 - (21\/18)\/(2\/12). Is 25\/2 >= x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -17, -31, -55, -89, -133?\n\"Answer: -5*r**2 + r - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 10*x**2 + 3*x + 3. Let y(q) = -66*q + 247 - 127 - 70*q - 119 + 137*q. Determine -j(n) + 3*y(n).\nAnswer: -10*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*u - 20 = -11*u. Solve -4*z = -u*f - 32, -5*f - 5 = -z + 18 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (12\/55)\/(3\/5). Let 2\/11*i**3 + 10\/11*i**5 - v*i**2 + 16\/11*i**4 + 0 + 0*i = 0. What is i?\nAnswer: -1, 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 43702, 87528, 131356, 175186, 219018?\n\"Answer: s**2 + 43823*s - 122","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 777 divide 21514353?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 294 + -283. Let j(q) = -19*q + 38 - 14*q - u*q + 46*q. Let y(p) = -p**2. Calculate y(j(w)).\nAnswer: -4*w**2 - 152*w - 1444","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8636*w - 533618 = -1945*w - 78630 for w.\nAnswer: -68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -v**3 - 7*v**3 + v**3 + (-v**2 + 3*v**2 - v**2)*(3 + 2*v - 3) + 10*v**3 - 5*v**3 - v**3 to r*v**2 + c*v**3 + z + f*v and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 30.5048 rounded to zero decimal places?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 3*l**2 - 1. Let t be n(-1). Suppose -t*v - 1 = 5*j + 2*v, -j + 4*v = -19. Suppose i = -3*x + 26 + 12, j*i = -x + 18. What are the prime factors of x?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 128529521?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1111110 - 1?\nAnswer: 1111101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a millennium in years?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) be the first derivative of 36 + 6*t + 1\/2*t**2. What is x(5)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 35 divided by -471\nAnswer: -35\/471","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 830 divided by 521?\nAnswer: 830\/521","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4\/5, -2\/15, 3, -5.6?\nAnswer: -5.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 42 is divided by 46*((-14)\/4 + 3)*-1.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -s**3 - 28*s**2 + 23*s - 178. Let b be o(-29). Sort b, 0.41, -2\/5.\nAnswer: b, -2\/5, 0.41","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -26 - -60. Let c = 37 - u. Suppose -3*m - c*s = 0, -6*m + 4*s = -m - 36. Solve -3 = m*b + t, -b + 4*b = 3*t + 9 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = t**3 - 3*t**2 - t - 1. Let q(l) = 6*l**3 - 2*l**2 + 6*l - 22. Let g = 255 + -256. Let u(z) = g*q(z) + 5*d(z). What is u(-12)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2646 divided by -3?\nAnswer: -882","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1198 is divided by 75?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*k + 16*s + 27 = 5*k + 11*s, 5*s + 25 = 0 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zsszzzzzsdszs. Give prob of sequence sd.\nAnswer: 5\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 + 2 = -2*s, 2*k - 18 = 4*s. Calculate the highest common factor of k and 7.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 71.36872 meters to centimeters.\nAnswer: 7136.872","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a**4 - 28*a**3 - 66*a**2 + 288*a + 648 = 0. What is a?\nAnswer: -9, -6, -2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 20949092?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 99612919 a multiple of 608?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 12, h: 4, i: 4}. What is prob of picking 1 i and 1 h?\nAnswer: 8\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 66\/(((-126)\/49)\/(-9)). What is the greatest common factor of m and 1419?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -4*j**2 + 5. Let d(k) = 9*k**2 + k - 11. Determine -2*d(a) - 5*o(a).\nAnswer: 2*a**2 - 2*a - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 763.1852 millilitres?\nAnswer: 0.7631852","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 173 minutes after 12:51 PM?\nAnswer: 3:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 668, -968, 4 in increasing order.\nAnswer: -968, -2, 4, 668","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 40033 is divided by 20014.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 3, -0.3, -1775, -1, 110?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*o + 3*o - 3*o)*(2*o + 1 - 1) - 2*o**2 + 0*o**2 + 5*o**2 + (3*o - o - 4*o)*(4*o - 6*o + 0*o) - 2*o**2 - 2 + 2 - 2*o**2 - o**2 - o**2.\nAnswer: 5*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (528\/48)\/11*(-990)\/15.\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1 - -1. Let o be t\/(3 + (-2 - 0)). Let f(j) = -136 + 140 + o*j + j. Calculate f(0).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -b**3 + 3*b**2 + 5*b. Let d be w(4). Suppose 0 = 3*n + q - 25 + 5, -2*n + d*q + 32 = 0. Is 426\/n - (-2)\/(-8) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 630725\/640704 + -1\/20022. Calculate the common denominator of 32\/(-14)*(-56)\/(-96) and x.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = u - 1. Let y(n) = -5. Suppose -2 = x, 0 = -2*h - 4*x - 4 - 2. Let j(c) = h*b(c) - y(c). What is j(0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10 (base 10) to base 5.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 23 + 27 = 0. What is the highest common divisor of i and 50?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3835 = -8*y + 21*y. List the prime factors of y.\nAnswer: 5, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1079 - 0.5?\nAnswer: 1078.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 878, 253, -2\/13, -5?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2292 + 6*l**3 + 4*l**3 + 2292 - 340*l**2.\nAnswer: 10*l**3 - 340*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 4*j**2 + j + 2. Determine v(-2).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42*w + d + 59 = 38*w, -5*w - 30 = -5*d. Sort 5, w, -90 in increasing order.\nAnswer: -90, w, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -j - j + 6. Suppose 2*d + 4*b + 1 + j = 0, d = -4*b - 6. Let q = -6 - -9. Solve -d*n = -w - 9, 2 = -5*n - q*w + 30 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v = 21*v - 51144 + 6225. List the prime factors of v.\nAnswer: 3, 23, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -104557, -209111, -313667, -418225, -522785?\n\"Answer: -d**2 - 104551*d - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13 = 2*g - 3*z, -1801*g - 4*z = -1803*g - 18 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/4, 7, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 34 (b) -13 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5253684 is divided by 22.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 121135?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) be the second derivative of -67*k**3\/6 + 3*k**2\/2 + k. Let o be v(-7). Suppose -5*h + o = -228. Does 35 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.3 and 27568.\nAnswer: 27567.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -187 - -190. Solve 11 = -d*x + 8 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one fifths of a century in decades?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.1 or 3161656\/7?\nAnswer: 3161656\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**4\/3 + 44368*t**3 + 4455180256*t**2\/3 + 577040269568*t + 169150209362176\/3.\nAnswer: (t + 196)**2*(t + 66356)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -258*j - 4 - 256*j - 5 + 58*j.\nAnswer: -456*j - 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*c**2 - 92*c - 2*c**4 + 2 + 0 + c**4 + 90*c + 2*c**3 as n*c + a*c**3 + m + i*c**4 + g*c**2 and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 164 is divided by 73.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.77 - -4.07. Let y = -3.95 + x. Round y to 1 dp.\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 42 + 10?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1377745 to the power of 1\/4, to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 7*q**2 + 3*q - 1. Calculate r(-1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3.98 + 0.02. Let h = j - 3. Let g = -960.7 - -960.6. Which is greater: h or g?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6181 to the power of 1\/3, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 10.3 + -10. Which is the nearest to -2\/5? (a) -2\/7 (b) 0.1 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -60*i = 30*i + 360 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 322171?\nAnswer: 322171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -171574 divided by -1?\nAnswer: 171574","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s when two letters picked without replacement from bxssssbbsbesjeeexs?\nAnswer: 7\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -10*p + 1. Let n(t) = -11*t - 39. Let d be n(-4). Let f(s) = 7*s - 1. Give d*u(y) + 7*f(y).\nAnswer: -y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 5, d: 7}. Give prob of sequence qdd.\nAnswer: 7\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p - 1 = p, -4*q - 4 = 4*p for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/11, -6, -0.17141 in descending order.\nAnswer: 2\/11, -0.17141, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 491 minutes after 2:36 AM?\nAnswer: 10:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 36610?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -144 by 1293.\nAnswer: -48\/431","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0113974927 to 6 dps.\nAnswer: -0.011397","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 8\/12 - 4\/(-3). Suppose -18 = 3*a + 3*q, u*q - 12 = a + 3*a. Let g be ((-182)\/(-26))\/((-2)\/2). Sort 0, -3, g, a.\nAnswer: g, a, -3, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34888120247 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 219168613 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -h**3 + h**2. Let k(f) = f**3. Let p = 1 - -1. Suppose -2 = -z + 1. Let w(b) = p*k(b) + z*g(b). Find the third derivative of w(n) wrt n.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -7? (a) 1.93152 (b) 5 (c) 41\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*s - 6*s + 5*c - 3 = 0, 2*c = -6. Calculate the highest common divisor of 99 and s.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2449, -4923, -7293, -9559, -11721?\nAnswer: -13779","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(2299)*-5 + sqrt(2299))**2.\nAnswer: 450604","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 13228 - -29840. Does 37 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1234?\nAnswer: 2, 617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1244389\/2367390 - 798\/1679. Calculate the common denominator of q and 109\/90.\nAnswer: 4230","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 149865?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -65\/23156 and 31\/112.\nAnswer: 92624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -1720529, -1720808, -1721087, -1721366?\n\"Answer: -279*j - 1720250","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 3077?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 78*d + 866. What is x(-11)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 70730 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 3 + 5)*(0*l + 3*l - l)*(0 + 0 + 1)*(3*l**2 + 0*l**2 + 2*l**2) + 5*l**3 - 2*l**3 - 2*l**3.\nAnswer: 11*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 83\/42891734 and 47\/2410.\nAnswer: 214458670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 minus 623070778.4?\nAnswer: -623070780.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 4*d - 7. Let q(i) = -9*i + 1. Let b be q(-2). Let w = 32 - b. Does 7 divide n(w)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = y**2 + y - 27. Let f be b(5). Let m be (-4)\/(-7)*-1 - (-510)\/(-210). Put 6, -2, f, m in descending order.\nAnswer: 6, f, -2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1872) - sqrt(1872)*-4)*-3)**2 + (sqrt(156) - ((sqrt(156) - -2*sqrt(156)) + sqrt(156))*-1 - sqrt(156))\/(2*sqrt(192)).\nAnswer: sqrt(13)\/2 + 421200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 887589000 to the nearest 1000000.\nAnswer: 888000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 224959?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -121*y + 322*y + 133 + 421*y + 631*y - 17*y wrt y.\nAnswer: 1236","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 21986 and 150?\nAnswer: 1648950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.1 + -1.3. Let w = 7 - 6.8. Which is bigger: w or z?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 55 - 735 = 0. Calculate the highest common divisor of z and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = -1 + 10. Let t = o - -10. Let f(v) = 10*v. Let k be f(t). What is k rounded to the nearest 100?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 60308, 120611, 180912, 241211, 301508?\n\"Answer: -o**2 + 60306*o + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-2 - -2)\/(-2 - 0))\/4. Let k(b) = b**2 - 5*b - 6. Let l be k(6). Suppose -4*j - 5*p + 12 = l, t = -p + 2*p. Solve j*u = u - 4 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.01 + -0.59. Let v = i + 4.6. Let r = 1 - 1. What is the biggest value in r, 2, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1070559730 a multiple of 830?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 84172242?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -1489512 divided by 3\nAnswer: -496504","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/5, 0.1, 2\/407, 2\/15, 1\/3?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -624*r + 476 = 422*r - 245*r - 25156 for r.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9646\/(-35192) + ((-1)\/4)\/(-1)?\nAnswer: -2\/83","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t*t*t\/(t*t**(-1\/2))*t)\/(t*(t**7\/t*t)\/t)*t*t**8*t*t*t**(-2))\/((t**(-2\/9)*t)\/((t\/(t**(-14)*t))\/t))**(-2\/45) assuming t is positive.\nAnswer: t**(965\/162)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*h - 91*h = -20*h - 252 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:23 PM and 4:43 AM?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4437 + 4431. Let a = 112 - 1454\/13. What is the second biggest value in a, l, -22?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 15 + -3*(-8)\/(-6) + -3. Suppose 2*t = -w, -6*i + 3*t + 20 = -5*i. Calculate the greatest common factor of i and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = 18 - 12. Suppose 48 = b*z + 10*z. Solve 4*t = -4*p + 4 + z, -5*t - 25 = -2*p for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (d + d - d)*(-17*d - 13*d + 9*d)*(d - d + d**2).\nAnswer: -21*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -7*g**2 - 12*g**2 - 5*g**2 + 35*g**2 - 12*g**2. Let v(j) = 158*j. What is v(u(c))?\nAnswer: -158*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 112 = 4*d, 2*g - 24 = 3*g - d. Let j = -3 - g. Let v = 27 - j. Put v, -5, -2 in increasing order.\nAnswer: -5, -2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 23 + -8. What is the greatest common divisor of 60 and v?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -519*v + 919*v + 17600 = 0 for v.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -0.7, -0.1, 0.05 in descending order.\nAnswer: 0.05, -0.1, -0.7, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 3571 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1109105, -1109365, -1109625, -1109885, -1110145, -1110405?\nAnswer: -1110665","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 71, 144, 263, 428?\nAnswer: 639","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*f - 122*w = -127*w + 259, 4*f - 668 = -12*w for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qwqw when four letters picked without replacement from wwqqqwqqqwqqwqqwqwq?\nAnswer: 77\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2 + 1. What is the second derivative of 4*c**h + 4*c - 3*c**3 + 0*c - 2*c wrt c?\nAnswer: 6*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 227 is divided by 113?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 63509 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 33*u - 118*u - 9*u - 46*u in the form h*u + p and give h.\nAnswer: -140","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1068?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1733412889 to the nearest integer?\nAnswer: 1201","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 3870071?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -506*v**2 + 563.\nAnswer: -1012*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = g**3 - g**2 - 9*g - 6. What is m(-3)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 27 + -22. Suppose -77 = -3*k - u. List the prime factors of k.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1277.4 take away -1537468.74?\nAnswer: 1536191.34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1073469473 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -429 - -483. Calculate the remainder when 95 is divided by j.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b + 4*v = 6, -34*b + 112*v = -31*b + 110*v - 6 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 4 + 4)*(5 - 4 - 2)*(-3*l - 10*l + 0*l).\nAnswer: 13*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (117\/(-40) + 3)\/(22104\/117888).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -453 (base 12) in base 14?\nAnswer: -339","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*c + 3*c - 16. What is the second derivative of 11*b**3 + 89*b**c + 18*b - 2*b - 89*b**2 wrt b?\nAnswer: 66*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 170 is divided by 87?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -581, -5041, -17145, -40715, -79573, -137541, -218441?\n\"Answer: -637*j**3 - j + 57","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6015183, 24060748, 54136689, 96243006, 150379699, 216546768?\nAnswer: 294744213","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-3)*(-425)\/170.\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*o - o + 15, 0 = -3*z - 4*o + 29 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -4 + 11\/3 + -1*(-21)\/90. Which is the second smallest value? (a) x (b) 12 (c) 4\/3 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2321026*0.5\nAnswer: -1160513","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4551.69t to milligrams.\nAnswer: 4551690000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -b**2 + 20*b + 2. Let n(u) = 3*u**2 - 41*u - 5. Determine -4*n(f) - 10*q(f).\nAnswer: -2*f**2 - 36*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7.2 - 7.1. What is the nearest to 2 in 1\/5, 23, p?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 187811606 divided by -20401?\nAnswer: -9206","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**12)**(-22)\/(k**(-2\/15))**(-3\/2))**(-2\/19) assuming k is positive.\nAnswer: k**(2642\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2852245 to the nearest integer?\nAnswer: 1689","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*f**2\/3 - 77834*f\/3 - 1947100\/3.\nAnswer: 2*(f - 38942)*(f + 25)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 w when two letters picked without replacement from {l: 2, e: 1, b: 8, w: 2, j: 2, r: 2}.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 67154?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 19\/605 + -3067\/104665. Which is smaller: g or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 594?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -7\/18101 and -9\/202.\nAnswer: 3656402","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 239 is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - r + 0)*(1 - 1 + 4*r**3) - 35*r**4 + 5*r**4 - 29*r**4 to the form m*r**4 + z*r**3 + n + y*r + x*r**2 and give m.\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 248450011.\nAnswer: 61, 4072951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 21, 61, 167, 369, 697, 1181, 1851?\n\"Answer: 5*w**3 + 3*w**2 - 4*w + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -224223 (base 5) to base 12\nAnswer: -47bb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 12, b: 7}. What is prob of sequence bbbb?\nAnswer: 35\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -f**3 + 5*f**2 - 11*f + 30. Determine o(5).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = z**3 - 7*z**2 + 5*z - 7. Suppose -7 = 3*d + 5*w, -2*d = 2*d - w - 29. Let j be n(d). Let u = j + 13. Solve u = t + 4*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6606000 rounded to the nearest 1000000?\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 + (1 - (-2 - -5))?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = c**3 - 5*c**2 - 6*c + 4. Let i(k) = k**3 + 4*k**2 - 3*k - 6. Let x be i(-4). Let y be m(x). Solve -2*s - y = 2 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1.2? (a) 3 (b) 3478 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) be the first derivative of -4*w**3\/3 + 7*w**2\/2 - 1. What is the second derivative of u(v) wrt v?\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, -2, -3, 4, 1.\nAnswer: -3, -2, 1, 4, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 60909 is divided by 1422?\nAnswer: 1185","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 24 = -206. Let n be 126\/24 - (-1)\/(-4). Suppose n*f - 55 = -5*q, -6*q + q + 5*f = -75. Calculate the highest common divisor of w and q.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from byyygvvtvgtu. What is prob of picking 1 y and 1 t?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 189 < 879359\/4622?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 80036?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 292693 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5, 13, 57, 127?\nAnswer: 223","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = 13*k - 8*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0, 0.1, 2, -0.051?\nAnswer: -0.051","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 0.26 times -332.8\nAnswer: -86.528","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -35*g + 9. Let k(z) = 36*z - 7. Determine -2*f(w) - 3*k(w).\nAnswer: -38*w + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -2 + 10\/15*168\/16. Suppose t - 2*t = -i + 424, -f*t - 1696 = -4*i. Does 24 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -975, -0.24, -2\/9, -0.078, 4 in decreasing order.\nAnswer: 4, -0.078, -2\/9, -0.24, -975","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3907?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -5064*c + 6. Let r(f) = -1900*f. Calculate r(i(w)).\nAnswer: 9621600*w - 11400","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4 and 74.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 128 is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 513, 518, 525, 534, 545?\n\"Answer: m**2 + 2*m + 510","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 72 divide 6480?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 2 w when three letters picked without replacement from {c: 5, w: 11}.\nAnswer: 55\/112","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 937, 813, 591, 259, -195, -783, -1517?\n\"Answer: -2*u**3 - 37*u**2 + u + 975","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -354*q - 11730. Calculate the remainder when j(-35) is divided by 165.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = d - 16. What is k(10)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 160\/12 + 6\/9. Let i = z - 11. What is the biggest value in i, 4\/3, -4?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 30 - 13. What is the remainder when g is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1 + -4 + 5427\/1086)*6. Do -1 and x have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 31 + 9 = 0. Let k be ((-75)\/9 + -1)*-15. What is the highest common factor of k and f?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -j + 9. Let s be k(8). Suppose -11 = 4*c - t, c - 18 = 6*c + 3*t. Let w be -1 - s*6\/c. Calculate the highest common factor of w and 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 68 - 139 - 190254*o + 71.\nAnswer: -190254*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 18728892, 18728895, 18728898, 18728901, 18728904, 18728907?\nAnswer: 18728910","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9290 is divided by 70.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-4)\/14 + 23\/7. Suppose -63*t + 73*t + 280 = 0. Let v be (-57)\/(-21) - t\/98. Solve -v = -c*a - 2*o, -5 = -2*a - 3*a - 4*o for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:05 AM and 7:24 AM?\nAnswer: 139","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -22 (base 4) in base 5?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 220*c - 96*c = 496 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 37398 - 37317. Which is the second biggest value? (a) 4 (b) -1.2 (c) -1 (d) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 103180 = -5*p, 10452 = q - 5*p - 10178. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 76 a factor of 21964?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + (-4 - (-5 + 4))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -817, -3254, -7313, -12988, -20273?\nAnswer: -29162","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z when two letters picked without replacement from zddzwdqddzz.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = j + 1. Let u(k) = -48*k - 20. Calculate -10*n(w) - u(w).\nAnswer: 38*w + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -356422 or -356401?\nAnswer: -356422","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = d**3 + 5*d**2 + 5*d + 6. Let k be q(-4). Suppose -k*n + 5 = -n, -2*g = 3*n - 5. Let t = 1 - g. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -667*j + 8 = -663*j + 4*l, 1 = -4*j + 5*l for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -60 (b) 2\/7 (c) -5 (d) 0.073 (e) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 5*w = -10, -4*d + 1 + 4 = 5*w. Let y = d - -8. Suppose -3*k = 5*c - 4*c + 6, y*c + 5*k + 14 = 0. What is the biggest value in c, -1\/3, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23508322531 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 74*f**4 - 2*f - 9*f**2 + f**3 + 8*f**3 + 6*f - 144*f**4 + 71*f**4 in the form d*f + m*f**4 + i + n*f**3 + q*f**2 and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 minutes after 5:53 AM?\nAnswer: 6:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*z**5 - 5*z + 5*z + 18*z**5 + 32*z**5 - 30*z**5 + (z**4 + 4*z**4 - 2*z**4)*(-z + 2*z - 2*z) + 3*z**3 - 3*z**5 - 3*z**3.\nAnswer: 11*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1 - -6. Suppose -117 = -19*i - 22. Solve -5*z = -4*j + 2*j + i, -2*z + p*j = -19 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = 2*i - 164, 5*w = 3*i - 8*i + 440. What is the smallest common multiple of i and 12?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 121 and -59748.\nAnswer: -59627","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -j**2 - 2. Let p(q) = 2*q**2 - q + 7. Let s(b) = -3*m(b) - p(b). Let k(a) = a + 9. Let u be k(-8). Let f = 4 - u. What is s(f)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 47398 or 284393\/6?\nAnswer: 284393\/6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 611 minutes before 5:21 PM?\nAnswer: 7:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 229110?\nAnswer: 2, 3, 5, 7, 1091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/(-128))\/((-18361)\/27328)?\nAnswer: 2\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -3960694*q. Let w(i) = -31*i. Give l(w(g)).\nAnswer: 122781514*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -172*c*t**3 + 2*c*t + 414*c + t**2 wrt t.\nAnswer: -1032*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28803942 is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 + 0 - (24 - (-4 + 18))) + -10?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t + 2 = 0, -3*t = 4*c + 2 + 17 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12*o**2 - 11*o**2 + 19*o + 10*o to the form h*o**2 + j + k*o and give k.\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**3\/9 - 3553*g**2\/9 - 14191*g\/9 + 5915\/3.\nAnswer: -(g - 1)*(g + 5)*(g + 3549)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -12132\/2335 + -2\/467. Suppose -28 = 5*p - 3*t + 9, 2*t - 33 = 5*p. Which is smaller: p or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.144 and 0.7.\nAnswer: 0.844","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -50919666*t**3 - 7016425*t**2 - 2 wrt t?\nAnswer: -305517996","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3, -17, 1\/3, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -k**2 - k + 35. Let v be u(6). Let s(j) = j**2 + 10*j - 3. Let w be s(v). Let q = w + 67. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -28.6 + 30.6. Put l, 4, -1\/6 in ascending order.\nAnswer: -1\/6, l, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = 3*r + r, -5*r + 4*x = 0. Suppose -5*n + r*n + 100 = 0. Calculate the greatest common factor of n and 80.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (44 + (-12876)\/290)\/(5\/750)?\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**0)**5\/(g*g**(-1\/7)*(g**(-1)*g*g)\/g)*g\/(g\/(g\/(g**(-2\/5)*g)))*g\/g**(-2\/13)*g**(1\/3)*(g**0*g)\/g assuming g is positive.\nAnswer: g**(1406\/1365)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3938091593.\nAnswer: 3938091593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -j**3 - 12*j**2 - 8. Let p be o(-12). Is (-80362)\/(-26) - -5*p\/(-260) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -11*n**3 + 12*n**2 - 21*n - 9. Let o(g) = 2*g**3 - g - 1. Let y(u) = -i(u) - 5*o(u). Let h be y(9). Sort h, 0, -1, 16 in increasing order.\nAnswer: -1, 0, h, 16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert bb1bd (base 14) to base 13.\nAnswer: 12b328","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.29796 * 4\nAnswer: 1.19184","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 57*o + 34*o + 1029 = 301 for o.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:41 PM and 2:37 AM?\nAnswer: 296","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*j**4 - 48*j**4 - 2*j**4 + 2 - 2 - 3*j**4 + (-2*j - j + j)*(-2*j**3 - 3*j + 3*j).\nAnswer: -43*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve b + 164 = -5*s, 32 = -132*b + 137*b - 2*s - 2*s - 105 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 13271683853 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-522)\/(-4))\/(2\/4). Suppose 11 = -5*a + o. Let g be (10 - 0)\/(-4 + 5). What is the highest common divisor of g and a?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, 756990, 5 in descending order.\nAnswer: 756990, 9, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(1\/5))**(-13)\/(c\/((c*c**(-2\/3)\/c)\/c))**(-8\/3))**(-4\/5) assuming c is positive.\nAnswer: c**(-812\/225)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 4\/((-19)\/((-19)\/(-10)))\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a**3 + 1848*a**2 + 12*a - 7392 = 0. Calculate a.\nAnswer: -2, 2, 616","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*l + q - 214, 0 = -4*l - 26*q + 28*q + 272. Suppose 0 = 5*h + 3*w - 152, -2*h + 120 = 3*h - 5*w. Calculate the highest common factor of h and l.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 389 and 1169\/3 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/2 in 0.4, -9019, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 222886 is divided by 111325?\nAnswer: 236","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3845234*f**2 - 7464974*f?\nAnswer: 7690468","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 80968793 a multiple of 108?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(196)\/sqrt(7)*-4)\/sqrt(4) + -1.\nAnswer: -4*sqrt(7) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in eleven quarters of a litre?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*j + 21 + 19. Let i = -6429\/2512 + -1\/314. Find the common denominator of (-485)\/(-300) + j\/(-10) and i.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 = 6*s + 20. Let h(y) = y**3 + y - 1. Let l(i) be the second derivative of -i**3\/6 + i**2\/2 + i. Determine s*h(b) + 2*l(b).\nAnswer: 2*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.04196 rounded to three dps?\nAnswer: -0.042","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 9*c - 37. Let v be m(4). Let f be (0 + (-32)\/2)\/1. Let s be (2\/v)\/(2\/f). Solve 4*p = -0*p + s for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.518849 to 1 dp.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = s**3 - 12*s**2 - 14*s + 5. Give h(13).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*s + 9*s = -675. Calculate the common denominator of (-6)\/(-18) - 56\/(-6) and 1\/2*17*(-6)\/s.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) -2\/3 (b) -0.01 (c) 46 (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + (-9 - -3) - 1.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -v**2 - 4*v + 10. Let l be n(-5). Suppose m + 0*z - 44 = z, l*m - 222 = 3*z. What is the units digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/(-48))\/(6\/12).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6565 and 10778417.\nAnswer: 1313","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bolllyllnhbhoolhoy. What is prob of picking 2 o?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = n - 3861, -13*z + 19326 = -8*z - 2*n. What is the greatest common divisor of 168 and z?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2007 + -617. Suppose -3*g + 2085 = -4*p + 3*p, -p + i = 2*g. What is the common denominator of g\/(-50) + 1 + 1 and 89\/8?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*j**4 + j - 5*j - 3*j**4 + 4*j**4 wrt j?\nAnswer: 48*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*v**2 - v**2 - 7*v**2.\nAnswer: -3*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 5*o - 8 = -3, -c + o - 1 = 0. Suppose c = 3*f - 2*u + 40, 5*f - 22 = -5*u - 72. Which is smaller: -11 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -56\/51579 and -157\/252.\nAnswer: 1444212","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -4, 17, 2 in descending order.\nAnswer: 17, 4, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 175 + 7*m - 175.\nAnswer: 7*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*c - 8, -3*h + 31 = -6*h + c. What is the remainder when ((-192)\/h)\/(-8)*279\/(-6) is divided by (25\/(-2))\/(-5)*10?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -39837\/5 at most -7966?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (12 + 2 + -3)*(4 + -3). What is the greatest common divisor of 33 and m?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 43467?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -g**2 - 8*g + 3. Let j be y(-6). Differentiate -3 - j - 101 - 39*k with respect to k.\nAnswer: -39","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4 - 8. Let c be (0 + -3 - 4\/(-4)) + -3. Put j, c, -1 in ascending order.\nAnswer: c, j, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 12*d**3 + 733225*d**2*f + 6*d**2 + 78140687*d*f wrt d.\nAnswer: 72*d + 1466450*f + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f**(-1\/13)*(f\/f**(-1\/16))\/f)\/(f**(2\/11)*f**(-2\/3)\/f))**16 assuming f is positive.\nAnswer: f**(16957\/429)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4840 - -4865. What is the remainder when 321 is divided by z?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -f + 1. Suppose n - 2*k = 13, 4*k + 23 = -0*n + n. Let i(l) = -2*l**3 + l - 3. Give n*h(y) + i(y).\nAnswer: -2*y**3 - 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11\/(-297) + (-62)\/(-216).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7773 is divided by 554.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:44 PM and 5:44 AM?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-1)\/8)\/(1\/3). Let a be (-1)\/24 + 2\/3. Let t = a + k. What is the closest to t in 5, 3, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*-1*(-3 + sqrt(57)\/sqrt(3) + 2 + -5 + -4*sqrt(133)\/sqrt(7)*4).\nAnswer: -45*sqrt(19) - 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**4*g*g)**(-26)\/(g**(7\/3)\/((g**(4\/3)\/g)\/g)))**(-33) assuming g is positive.\nAnswer: g**5247","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 4, m: 3, o: 1}. Give prob of sequence ommm.\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-7)\/z)\/((z*z**7\/z)\/z)*z*(z\/z**(-7\/3))\/z*(z**(-4)\/z)\/z)\/(z*z*z**(-10)*z*z*z**8*z*z)**(14\/9) assuming z is positive.\nAnswer: z**(-206\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 558 is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 a factor of 6787?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 274626, 274628, 274630, 274632, 274634?\n\"Answer: 2*u + 274624","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -19 + 21. Factor 4*r + 11*r**3 + w*r**3 - 2*r**4 + 3*r**3 - 20*r**3 + 2.\nAnswer: -2*(r - 1)*(r + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 42, 6, 20945 in descending order.\nAnswer: 20945, 42, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 137\/6 and -99\/13915180?\nAnswer: 41745540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 7 - 10 - 5*l**4 - 5*l**4 wrt l?\nAnswer: -40*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-2 + sqrt(98)*2*2)*6)**2 + 1)*1.\nAnswer: -4032*sqrt(2) + 56593","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((60\/4)\/(-5))\/(3\/(-8)*-2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 257586120.00000032 + -257586156. Let l = m - -36. What is l rounded to seven dps?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13914, -20, -2\/3, 2 in increasing order.\nAnswer: -13914, -20, -2\/3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) be the first derivative of -l**4\/30 + 16*l**3\/15 + 161*l**2\/5 + 3724*l\/15 + 2548. Factor n(y).\nAnswer: -2*(y - 38)*(y + 7)**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, -15\/4, -5, -0.12 in descending order.\nAnswer: -0.12, -0.5, -15\/4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x**2 + x + 2. Let o(c) = -3*c**2 - 3*c - 7. Let y(n) = -n**2 - 7*n - 7. Let f be y(-7). Determine f*p(h) - 2*o(h).\nAnswer: -h**2 - h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-39)\/(-9) - 2\/(-3). Let q be g\/(-22)*4\/(-5). What is the smallest value in 0.3, 6, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -3*m**2 + 24*m - 31. Let l be n(9). Find the common denominator of 25\/9 and ((-11)\/54 - 0)\/(l\/(-29)).\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -14 + 14.3. Let j = -0.2 + 0.1. Which is the closest to j? (a) -3 (b) z (c) -4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 1 - 5 = 2*n, 12 = 2*n + 2*x. Let h be n*(2 - 16\/12). What is the nearest to 0.2 in 3, -4, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -32179028\/5 at most -6435807?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -w - 12. Let f be c(0). Let y be (-4)\/f - (-51)\/36. What is the second smallest value in 0.5, y, 2?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 13) in base 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/(-18))\/(14\/(-21)).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 816443376 a multiple of 159?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*o**2\/7 + 61032*o\/7 + 465613128\/7.\nAnswer: 2*(o + 15258)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = -k - 31, 2*g - 44*k = -38*k - 10. Put 0, -11, 16, g in descending order.\nAnswer: 16, g, 0, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 178, 1448, 4906, 11650, 22778, 39388, 62578, 93446?\n\"Answer: 183*p**3 - 4*p**2 + p - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -j**3 + 3*j**2 - 2. Let x be t(3). Let s be x\/(-2) - (-1 + 1). Let b = 3 - s. Solve b*g = g - 2 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = i**3 - 10*i**2 - 11*i + 2. Let m be t(11). Suppose 0 = -p - a + m, -7*p + a - 12 = -3*p. Let x = -2086 - -2091. Put 9, x, p in descending order.\nAnswer: 9, x, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the first derivative of -m**3\/3 + 7*m**2\/2 + 12*m - 767. Determine b(7).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zzc when three letters picked without replacement from {z: 2, q: 1, a: 1, k: 1, o: 1, c: 1}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 914?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12344390 is divided by 133.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 18710 and 62220105.\nAnswer: 124440210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 4\/3, -0.5, -0.17, 2\/3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 763876 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -446\/61 - -56523\/8540. Let a = -2\/35 + c. Let i = -43\/6 + 133\/18. Put -5, i, a in decreasing order.\nAnswer: i, a, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 591 + 1194*w + 74 - 1257 - 793 - 616 wrt w.\nAnswer: 1194","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1002101020 - -101100121?\nAnswer: 1110201211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -11, 64\/9, -9725?\nAnswer: 64\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 2*t + 5. Let j(h) = -48*h - 1. Give j(g(m)).\nAnswer: -96*m - 241","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1876 and 35?\nAnswer: 9380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*y + 3*y + 3*x - 154, -5*y - 5*x + 150 = 0. Let l be 8\/6*(-5 - -2) + y. Solve i - 3*n = n - 17, i + 5*n - l = 0 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = -0*o - 4*q - 54, -2*o - 5*q = -9. Let u = 25 + o. Calculate the remainder when u is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -3976305\/19 and -209279 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - l + 13 = 0, -p + 3 = -0*p + l. Suppose -21 + 1 = -4*o. Suppose -5*s + p = -o. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 1\/7, 4, 1.7, -1 in ascending order.\nAnswer: -1, 1\/7, 1.7, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 10 - 7 = 0. Suppose 70 = w*k - 47. Suppose y - 4*j = 20 - 7, 3*y + 5*j - k = 0. List the prime factors of y.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39*f - 38*f = 18*f - 68. Sort 5435, f, 2.\nAnswer: 2, f, 5435","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*v**3 - 133919872 + 133919872.\nAnswer: -4*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-171)\/(-6) - -1*6\/(-4). Solve -15*m = -v*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2931 is divided by 126.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 9*p - 6. Let j(w) = 13*w - 9. Let k(a) = -7*h(a) + 5*j(a). Let y(c) be the first derivative of -26 + 0*c + 2\/3*c**3 + 0*c**2. Give k(y(v)).\nAnswer: 4*v**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 5818460 to the power of 1\/8, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 2*f**3 - 12*f**2 - 24*f + 158. Let a be p(4). Let d(s) = -3*s - 26. Let k(v) = -v - 9. What is a*d(m) + 7*k(m)?\nAnswer: -m - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = 46*l. Let v(i) be the second derivative of l*i**3 + 0 - 1\/12*i**4 + 11*i + 3\/2*i**2. Calculate v(0).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6*(-3)\/(-18)*-5?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*h = -5*x + 9*h + 410, 320 = 4*x - 4*h. Let i = x - -375. What is the least common multiple of 12 and i?\nAnswer: 456","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.25 - -3.708?\nAnswer: 2.458","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9107*p + 254591 = -38764*p - 203092 + 2889557 for p.\nAnswer: 82","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 18*i**2 - 12*i - 161. Is p(-6) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/(m\/m**(-5)))\/m**(-2\/5))**(-31)*(m**5*m*m**6)**(-2) assuming m is positive.\nAnswer: m**(593\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 8, h: 5}. What is prob of sequence hbb?\nAnswer: 70\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 108.72757 + -0.19757. Let u = d + -98.3. What is u rounded to 0 decimal places?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 77153 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(36) + (sqrt(432)*-2)\/sqrt(12))\/(-2*sqrt(972)).\nAnswer: sqrt(3)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 14997066 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u**4\/17 - 14*u**3\/17 + 146*u**2\/17 + 326*u\/17 + 168\/17 = 0. Calculate u.\nAnswer: -12, -1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 35595 is divided by 735?\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 30 + 24 = 0. Which is the nearest to -13? (a) r (b) 1\/10 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1073)\/(-3) - 189\/(26 - 5). Are 350 and o nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*t**4 + 96*t**3 + 12*t**2 - 280*t - 192.\nAnswer: -4*(t - 24)*(t - 2)*(t + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -122112211 (base 3) to base 9.\nAnswer: -18484","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -40634357 (base 8) in base 2?\nAnswer: -100000110011100011101111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -507*i**2 - 4*i + 2. Let x(b) = -504*b**2 - 5*b + 3. Calculate 5*v(y) - 4*x(y).\nAnswer: -519*y**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 13*l**2. Let m(c) = -99531*c. Determine m(s(a)).\nAnswer: -1293903*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 7922 and 449457.\nAnswer: 15281538","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:37 PM and 9:47 PM?\nAnswer: 430","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (6*22\/(-99))\/(4\/((-24)\/(-10)))?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 1025907?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 28450.1 decades?\nAnswer: 284501","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 317*o**3 + 2*o. Let j(p) = -p**3. What is -4*j(y) + v(y)?\nAnswer: 321*y**3 + 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 1232273832?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = -0 + 31. Calculate the remainder when 61 is divided by t.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = n**3 - 10*n**2 + n + 2. Suppose 2 = -h + 12. Is p(h) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-25 + -1)*(-15)\/6?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1964 divided by 4\nAnswer: 491","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - (-1 + 4 - (-7 - -13)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 221*q - 342*q - 278*q + 768873. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 72285845?\nAnswer: 5, 281, 51449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 117 + -37. Let g(c) = c - 1. Let b be g(5). Let q be 2\/((-62)\/16 + b). What is the greatest common factor of r and q?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3*1*(-5)\/(-3). Suppose v*g = g + 80. Let y = g + -14. List the prime factors of y.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u when two letters picked without replacement from {o: 8, u: 5, j: 4, p: 1}.\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(408)\/(-1*sqrt(12)*-2))\/(1*(sqrt(128) - (sqrt(128) + (5*sqrt(128) - sqrt(128))) - sqrt(128))) + 0)**2.\nAnswer: 17\/6400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -9\/209 and -16\/77?\nAnswer: 1463","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5818?\nAnswer: 2, 2909","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - (-2 - (-4 - (3 + -1)))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6135 - 122737\/20. Calculate the common denominator of o and -63\/20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/(-4)*(-35)\/((-525)\/(-340770)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*d - 11*d + 38*d - 9 + 8*d.\nAnswer: 40*d - 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 12552363?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -28 from -0.5001282487.\nAnswer: 27.4998717513","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*w - 5615 - 7280. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*sqrt(242)*-2.\nAnswer: 44*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -7 + -14075?\nAnswer: -1407c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that 22*p**4 - 1242*p**3 - 3280*p**2 - 1416*p = 0.\nAnswer: -2, -6\/11, 0, 59","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 15114 + -15090. Let x(h) = 3*h**2 + 7*h - 3. Calculate the remainder when x(5) is divided by d.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 472 minutes before 7:53 PM?\nAnswer: 12:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 36218 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = k**2 - 4*k + 8. Let t be s(2). Suppose -20 = -t*x + 52. What is the units digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 382, -0.4, 0.1 in decreasing order.\nAnswer: 382, 0.1, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = b**2 + 26*b + 4. Let r be j(-26). Solve -2*n - 3*y - 2*y + r = 0, 0 = -2*n - 4*y + 2 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 49*r - 14. Let o(k) = 25*k - 5. What is 3*l(v) - 5*o(v)?\nAnswer: 22*v - 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 23199594 divided by 1054527?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(52)\/sqrt(4)*5 + 1) + (1*sqrt(637)*-1 - (1*(-1 + sqrt(637)) + sqrt(637))))**2*2.\nAnswer: 252*sqrt(13) + 2204","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 4, u: 1, m: 8}. Give prob of picking 2 m.\nAnswer: 14\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/10)\/((-11 - 10)\/(-9618)) + (-130)\/(-650).\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 40 = 5*h - 2*y, 5*h + 2*y - 12 = 0. Suppose -11 - h = 5*u. What is the units digit of u*(-2)\/6 + 2?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/(-4))\/((-5)\/4 + 0).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -82*a - 164 = 25*a - 3*a + 2956 for a.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10110 - -11110?\nAnswer: 1000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 26811.22 less than -48.1?\nAnswer: -26859.32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = u**2 - 2. Let p be d(2). Let t(w) = w**p + 4*w**2 + 3*w**2. Let b be t(1). Calculate the greatest common divisor of 4 and b.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p - 4*p + 4*p + 11. Let g be b(-4). What is the common denominator of 39\/32 and 1\/g*-2 + (-26)\/252?\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -55, 2\/5, -4\/11, -2, 0.1?\nAnswer: -55","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0 - 5\/(10\/(-4)). Let t(w) = -24*w**2 - 3 + 14*w**2 + w - w**3 + 1 + 14*w**2. What is the units digit of t(c)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3.2? (a) 73293 (b) 0.1 (c) -0.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 22 - 18. Solve -5 = 3*k + c for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) be the second derivative of -49*k**3 - k**2 - 3*k. Is z(-2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.178 not equal to -26\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 15 = u, 0*u = 4*u + 4*z - 12. Suppose -4*o = -2*l - 53 - 23, u = 2*o + 2*l - 26. Let q be (-2 - -4 - 3)\/(o\/15). Is 0 >= q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -k**3 + 3*k**2 + 4*k - 3. Determine j(3).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2518000 rounded to the nearest one hundred thousand?\nAnswer: 2500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1424322, 1424425, 1424530, 1424637, 1424746?\nAnswer: 1424857","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 118*k**2 - 10*k - 14. Let n(p) = 79*p**2 - 7*p - 9. What is -7*n(m) + 5*o(m)?\nAnswer: 37*m**2 - m - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.4 - 580.\nAnswer: -580.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 360 by -5.\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 334999530?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 13 and 77298?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 204482 to the power of 1\/2, to the nearest integer?\nAnswer: 452","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 115 = 2*j, -3*h - 281 = j + 92. Let w be h*3\/(-90) + 8\/(-2). What is the nearest to 1 in -0.4, w, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r**2 - 4\/7*r**4 + 0*r + 0 + 16\/7*r**3 = 0. What is r?\nAnswer: 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 121 a factor of 16919?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 12385681707 + 0.8?\nAnswer: 12385681707.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 2102 (base 7) in base 10?\nAnswer: 737","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = -12*t + 7*t - 34, 2*s - 2*t - 40 = 0. Find the common denominator of -31\/3 and s.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 10984379?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 323 = -2*g - 5*v, 0 = -5*g - 2*v - 3*v - 845. Suppose 3*k = 3 - 0, 3*y + 4*k + 365 = 0. Let t = y - g. What is the units digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21557 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) be the first derivative of -16*y**5\/15 - 42*y**4 - 1625*y**3\/9 - 269*y**2 - 168*y + 151. What is r in z(r) = 0?\nAnswer: -28, -2, -3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dnjdddj. Give prob of picking 1 d and 1 n.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*q - 5*v + 43 = -31 - 1 - 21 + 11, -5*v + 19 = 2*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*p - 181 = -115. Solve -19 = p*l - 13 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x + 25 = 5*o, -91*x - 3 = o - 90*x for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1174 equal to 1160?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 73*a - 533800 = 14*a - 41*a. List the prime factors of a.\nAnswer: 2, 17, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (10\/(-30))\/((0 - 4)\/24). Let w = -19 - -34. Suppose 0 = 4*p - w - 37. Solve -q*r + 3 = p for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 304789 is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Let j = -4 + 6. Calculate the smallest common multiple of j and (-1)\/((-123)\/60 - -2).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -4*j - 30. Give i(-16).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -12 - (-2 + (-12 - -20) + -1 - 20)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r - 308 = 3*o - 301, 4 = -o - 2*r for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -1\/7 (b) -5 (c) -0.5 (d) -0.4 (e) -925.09 (f) 1\/4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.08 in -0.01, 1, 153, 0.4, -7?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 265 minutes after 10:58 PM?\nAnswer: 3:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(208) + 1))**2 + sqrt(208) - ((-1 + sqrt(208))**2 + -5).\nAnswer: 300*sqrt(13) + 7320","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in -6.2485, 5, 1, -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-7)*l*l**(-1\/5))\/(l**(2\/25)\/l*l*l*l*l**10) assuming l is positive.\nAnswer: l**(-457\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-28)\/8 + 3)*58704\/(-3). Suppose -i = -2*a + 5894. Suppose 8*s - 9401 = a. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 8 and 5783848.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 1, f: 2, j: 2}. What is prob of picking 1 j, 1 f, and 1 r?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 2, p: 8}. What is prob of sequence ppu?\nAnswer: 7\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 210 is divided by 49?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -31\/41640 and 97\/4140.\nAnswer: 2873160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 255 minutes before 7:02 AM?\nAnswer: 2:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 93*v = -64*v - 145*v + 58*v - 11956 for v.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 20308442 to the nearest integer?\nAnswer: 273","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.944 rounded to 1 dp?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: ((-41)\/((-17835)\/1798))\/((-28)\/(-42))\nAnswer: 31\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are 34 and -0.6 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.60199 plus 205.121?\nAnswer: 205.72299","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3064515 is divided by 1359.\nAnswer: 1329","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-1\/4))**(-4)\/(p**(-4)\/(p\/(p**4*p))))\/(p\/(p**(2\/5)*p*p)*(p*p**(-2\/11))\/p*(p**(-1)*p)**(-46)) assuming p is positive.\nAnswer: p**(142\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6532332.\nAnswer: 2, 3, 73, 7457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -11 (base 8) to base 14\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -89 - -76. Put 5, 0.2, -4, x in descending order.\nAnswer: 5, 0.2, -4, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 532*t**2 + 59*t + 87712 with respect to t.\nAnswer: 1064*t + 59","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 183108158?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -50*f. Let c(w) = 3*w**2. Give p(c(d)).\nAnswer: -150*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2450 and 420?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1734 - 1726. Let p(f) = 16*f - 120. Give p(u).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 15514703?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 2274*y - 2275*y = -4. What is the remainder when 935 is divided by y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 507?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -127581397 from 4.\nAnswer: 127581401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a + o - 5 = 0, 3*a - 2793 + 2813 = 4*o for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*h + h**2 + 2*h)*(h + 0*h - 3*h + (-5 + 3 + 4)*(0*h + 0*h - h) - 3*h + 3*h + h).\nAnswer: -3*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/18)\/(6\/108)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 h when two letters picked without replacement from {n: 2, h: 2, j: 1, a: 1}?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -0.5 (b) -5 (c) -0.3 (d) 0.06\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3735\/(-315) - (-16 - -3). Let 10\/7*u**3 - 2\/7*u**4 - h*u**2 + 0*u + 0 = 0. What is u?\nAnswer: 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -15 and 1160954.\nAnswer: -17414310","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 153?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2 + -1.9. What is the closest to 2 in b, 6, -1\/3?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:30 PM and 2:01 AM?\nAnswer: 631","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 2 = -3*u + 3, 0 = -2*u + 3*a + 7. Suppose 15 = 3*f + 5*c, -4*f - u*c + 12 = 2*c. Is f\/(0 + -1) - -21 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 247 + -244. Let a(l) be the first derivative of 0*l - 2\/3*l**c - 5\/6*l**4 - 2\/9*l**2 - 22\/45*l**5 - 4 - 1\/9*l**6. Factor a(y).\nAnswer: -2*y*(y + 1)**3*(3*y + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 15.7 - 15.6. Let s = -48\/511 - -473107\/4599. Let m = 103 - s. What is the third biggest value in q, m, -3\/7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 111221 (base 3) in base 13?\nAnswer: 22c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5 - -cb1ee?\nAnswer: cb204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 35820 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*w = -7*w - 144. Let s(u) = u**3 - 9*u**2 + u - 6. What is s(w)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q**3 + 9*q**2 - 8*q + 10. Give z(-10).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*v + 1322 = -2198. What is the greatest common factor of v and 935?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8 - 7.733. Let p = h - -3.733. What is the fourth biggest value in 1\/4, 3\/4, p, 5?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -103 (base 8) to base 7\nAnswer: -124","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -14792, -29474, -44156?\n\"Answer: -14682*g - 110","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5*c**4 - 1577379*c**3 + c**2 + 1747717*c - 41?\nAnswer: -60*c**2 - 9464274*c + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 0 + 62ab?\nAnswer: 62ab","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.9 or 8536?\nAnswer: 8536","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 328 minutes after 7:41 AM?\nAnswer: 1:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5002 + -4997. Let u(p) be the third derivative of 0*p**4 + 0*p - 4*p**2 + 0 + 2\/3*p**3 - 1\/15*p**j. Find c, given that u(c) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 93264 divided by 2.\nAnswer: 46632","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and -135\/4691 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (7\/((-140)\/30))\/(3\/10)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1466872*t + 1824*t**2 + 1466872*t)*(0 + 0 + 2*t - t + 5*t - 2*t + (-1 - 3 + 2)*(3*t - 2*t - 2*t) + 2*t - 1 + 1 + t + t + 0*t).\nAnswer: 18240*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 8699 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1510 + -2?\nAnswer: -1512","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -162 - -161.964. Which is the third biggest value? (a) 2 (b) v (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 82 is divided by 22.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Add together -7062 and -41091967.\nAnswer: -41099029","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b = 8*l - 12, -l - 167 + 121 = -9*b for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 27 = -o. Let i(w) = 4*w**3 - 9*w**2 + 8*w + 1. Let y(q) = 2*q + 183*q**3 - 98 - 182*q**3 - 2*q**2 + 98. Give o*y(g) + 2*i(g).\nAnswer: -g**3 - 2*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 497980 and 5180.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - h + 1 = -14, -19 = -2*n - 3*h. Suppose 5*q = 3*t + t - 1251, 921 = 3*t + n*q. What are the prime factors of t?\nAnswer: 3, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1066*b**3*h**3 - 8*b**3*h*k + b**3*h*o**2 - 2*b**2*h**2*k - 63*b*h**3*k*o**2 - b*h**3 - 13*h**3*k*o + 7*h**3*o wrt b.\nAnswer: 6396*h**3 - 48*h*k + 6*h*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, l: 2, n: 1, o: 1}. What is prob of sequence ln?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2950638 is divided by 983544?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 367197952?\nAnswer: 2, 11, 19, 6863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) -34 (b) -2\/7 (c) -0.3 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 107*g**6 - 8*g**3 + 175*g**2 - g.\nAnswer: 12840*g**3 - 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 162?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 41 + -6. Let x(z) = z**3 + 2*z**2 - 6*z - 4. Let f be x(-4). Let l = f - -26. What is the greatest common divisor of m and l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(180)\/sqrt(3))\/(sqrt(8)\/(sqrt(2) + sqrt(2)*2)))\/(sqrt(24)\/(sqrt(40)\/sqrt(5)) - sqrt(3) - sqrt(9)\/(6*sqrt(3))).\nAnswer: -18*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -97 + (13 - (-11 - -3 - (6 + (0 - 17))))?\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -42*i + 8. Let h(o) = -17*o + 3. Calculate -12*h(k) + 5*p(k).\nAnswer: -6*k + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -214, -226, -238?\n\"Answer: -12*v - 202","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 3*n**2 - 1. Let t be m(-1). Solve -4*o - c - c = -10, 0 = -t*o - 5*c + 9 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 4, p: 2, d: 5}. What is prob of sequence dpxx?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 31 + -44. Let v = x - -18. Suppose -v*p + 13 + 7 = 0. Solve 8*l - p*l = -16 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 6*u**2 + u. What is i(-1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (-3 + sqrt(1331) + -2)**2*-3.\nAnswer: -4063 + 330*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:37 AM and 2:54 PM?\nAnswer: 317","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 85167421 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3 - 14167?\nAnswer: -14164","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = c**3 - 23*c**2 + 60*c + 67. Calculate w(13).\nAnswer: -843","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = p**3 + 5*p**2 - 6*p + 2. Let k be f(-6). Let t(l) = l**2 - l + 3. Let s be t(0). What is the second derivative of k*u**s + 3*u**3 - u - 3*u**3 wrt u?\nAnswer: 12*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 82.36228 to two dps.\nAnswer: 82.36","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(8\/7)*d)\/d*d**(-10\/7))\/(d**13\/(((d**27\/d)\/d)\/d)) assuming d is positive.\nAnswer: d**(75\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 4427293 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1668 = 4*p - 2*p + 2*l, 4*p + 3334 = -3*l. Let q = p - -3389\/4. Calculate the common denominator of (-9)\/(-2)*117\/65 and q.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -29, -73, -111, -143, -169, -189, -203?\n\"Answer: 3*t**2 - 53*t + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 33*y**2 + 320*y**3 + 316*y**3 - 10*y + 13 + y**4 + 10*y - 637*y**3 as i*y**4 + t + f*y + u*y**2 + h*y**3 and give u.\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 15 = -2*z, s + 2*z = -8 - 1. Let l = -0.201 + 0.2. Let j = -0.001 - l. Which is the closest to j? (a) 0.3 (b) s (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -x**2\/5 + 3567*x\/5 - 56816\/5.\nAnswer: -(x - 3551)*(x - 16)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5 - 0. Suppose -7*i = -2*i. Solve -a*u + i*u = -15 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2011952?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 55103 + -55103.110485. Let q = -0.11 - g. What is q rounded to four dps?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 806 - -36a90?\nAnswer: 37596","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 98597 is divided by 4476.\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3)\/4*(-48)\/45. Let b be (24\/(-15))\/(-4) - (-1 + 1). Factor -b + a*o**2 - 2\/5*o.\nAnswer: 2*(o - 1)*(2*o + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 276 + -278. Let u(y) = -2*y**3 + 2*y**2 + 2*y - 2. What is the remainder when u(x) is divided by 8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 3, q: 2}. Give prob of picking 1 q and 3 b.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 52872?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2 + 22032231231?\nAnswer: 22032231233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dhh when three letters picked without replacement from hhhwxddhh.\nAnswer: 5\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 0 - 1)*(-g**2 + g**2 - 2*g**2)*(28*g**2 + 14 - 14) in the form x*g + b*g**4 + z*g**2 + q*g**3 + v and give b.\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 20*h**2 + 118*h - 10. What is p(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 12 - 2200203?\nAnswer: -2200131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 30.5 + -34. Let d = f + 3.5. Let r = 0.34 + 0.06. Put r, -1\/2, d in decreasing order.\nAnswer: r, d, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/(12\/(-1)))\/((-12)\/(-48))?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -11400 by -5.\nAnswer: 2280","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -13\/8 and -41\/23.\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2003232 to the nearest integer?\nAnswer: 1415","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 + 1 = 4*c + z, 0 = -3*z - 15 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 11b02a (base 16) in base 8?\nAnswer: 4330052","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add -765.878 and 0.5112292.\nAnswer: -765.3667708","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 145024 and 329054.\nAnswer: 2169123968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (1776\/37)\/(41\/(-41))\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 506165769.\nAnswer: 3, 17, 3308273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*q**2 + q**2 + q**2 - q**2 - 2*q**2 + 6*q**2 + (1 + 2*q - 1)*(3*q + 0*q - 2*q) + 4 - 4 + q**2 - 85*q + 8 + 2*q**2 - 258*q - 8.\nAnswer: 7*q**2 - 343*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -2*j. Let c = 27 - 1. Suppose -v = -g + 6*g + c, 4*g + 19 = v. Let m be a(g). Solve -4*n - w = -1, -5*n - m = w - 2*w for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -68*i**4 - 27*i**4 + 25*i**4 - 30*i**4 + (61 - 127 + 65 + 27*i)*(6*i**3 - 4*i + 4*i).\nAnswer: 62*i**4 - 6*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*t - 2*m - 451, -4*m + 568 = -2*t + 6*t. What is the common denominator of 19\/15 and 4 - ((-3)\/1 - (-1631)\/t)?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1024*t**3 + 29329706987 - 29329706987.\nAnswer: -1024*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = y + 12, -2*f = 4*y + 40 + 26. What is the common denominator of (-4)\/y - 4329\/(-1296) and (-567)\/(-66) + -3 - 4?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.0754cm in meters?\nAnswer: 0.080754","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -4\/21 and ((-183)\/(-21))\/(5 + -2).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18 + -29 - (-3 + -7 + 2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 54452*d**2 + 269874?\nAnswer: 108904*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u - 9 = -2*h - 3, 4*u - 11 = -h for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 337 minutes before 7:57 PM?\nAnswer: 2:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.39559381 rounded to one decimal place?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 76*m**2 - 234*m**2 + 75*m**2 + 73*m**2.\nAnswer: -10*m**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*v**4 + 2*v**3 - 22*v**2 + 14*v.\nAnswer: 2*v*(v - 1)**2*(3*v + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2320 - 2*h**2 + 2848*h + 2320 to the form i*h**2 + z + y*h and give y.\nAnswer: 2848","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 5*r = 392, 4*f - 57 = 3*r - 457. Let o = f - -136. Calculate the highest common factor of 11 and o.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m = m - 27. Let k = 29 - m. Find v such that 1\/2*v**2 + 2*v + k = 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 441 and 315.\nAnswer: 2205","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 2*m**2 + m + 1. Let y(b) = -11*b**2 - 5*b - 1. Let j(f) = 15*r(f) + 3*y(f). Find p such that j(p) = 0.\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -67 + 3*m + 52 - 5*m + 3*m as d + t*m and give d.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((5*(sqrt(80) - sqrt(80)*3 - sqrt(80)) + sqrt(80))\/sqrt(10))\/(((2*sqrt(120))\/sqrt(10))\/sqrt(3)).\nAnswer: -7*sqrt(2) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -q - 1. Suppose 0 = -20*o + 11*o - 36. Let r(f) = -4*f + 25. Let d(y) = o*b(y) - r(y). Is 15 a factor of d(12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mm when two letters picked without replacement from {m: 10}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1c0a - -3b?\nAnswer: -1bcf","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 29*j. Let a(m) = -44*m. Let n(r) = 5*a(r) + 7*x(r). Let o(z) = -z**2. Determine n(o(v)).\nAnswer: 17*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, 9, 2, -17, -1, -3, 11 in descending order.\nAnswer: 11, 10, 9, 2, -1, -3, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -6 + 138834267?\nAnswer: 138834261","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 128090?\nAnswer: 2, 5, 12809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -47334095*q**3*u**3 - 13461161*u**3 with respect to q.\nAnswer: -142002285*q**2*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -6 + -124?\nAnswer: -132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50 = 5*s + 4*f, s = -2*s - 5*f + 30. Suppose 2*z - 5*t = 6*z - s, -4*z = t - 2. Solve y + 2 - 4 = z for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 4*b. Let t(m) = 3*m. Let r(x) = -3*t(x) + 2*y(x). Does 3 divide r(-8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/4 + 33\/2. Let q be ((-720)\/18)\/8*1. Sort -3, q, x in descending order.\nAnswer: x, -3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 64\/5 of a litre?\nAnswer: 12800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 14*c + 2. Calculate p(3).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -c**2 + 5*c - 5. Calculate j(3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8482 is divided by 43.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 10 = 3*p, -5*p = -3*s - 5. Let a = s - -18. Suppose r - 9*r + 48 = 0. What is the lowest common multiple of r and a?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3296650255?\nAnswer: 5, 29, 43, 223, 2371","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + (3 - (-15 + 6)) + (1 - 9)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 845 - 513. What is the units digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 52361 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*q**5\/4 + 88965*q**4\/2 - 284555*q**3\/2 - 17805*q**2 + 569135*q\/4 - 53355\/2 = 0.\nAnswer: -1, 1\/5, 1, 3, 7114","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i + 1 - 11 + 4*i + i. Calculate the remainder when d(9) is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z**2 + 2*z + 36. Let n be h(0). Let p be (-4)\/63 + (-8)\/n. Let f be (-4)\/35*(-5)\/2. What is the closest to -0.1 in p, 2\/11, f?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 297*a - 2590980 = 87*a. Calculate the highest common divisor of a and 62.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -i - 1. Let z(d) = d**2 - 1. Let v = 430 + -424. Let b(m) = -3*m**2 + m + 4. Let a(g) = v*b(g) + 17*z(g). Give 2*a(x) + 14*w(x).\nAnswer: -2*x**2 - 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by 608558\nAnswer: 2\/304279","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*j + 2845 + 2843. What is the hundreds digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, 4, -244 in decreasing order.\nAnswer: 4, -7, -244","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 2*h. Let g(f) = 55*f - 45. Let d(b) = 5*b - 4. Suppose q - 4*q - 31 = -4*z, -z + 14 = -2*q. Let w(n) = z*g(n) - 45*d(n). Give t(w(s)).\nAnswer: -10*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((2\/3)\/(18\/(-81)))\/(-4).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 106905 is divided by 109.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -5*b**3 - 2*b. Let n = -20 - -22. Let u(f) = 39*f**3 + 25*f + 0*f**3 + 21*f**3. What is n*u(o) + 25*r(o)?\nAnswer: -5*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -3\/7, 0.0666, -2, 4?\nAnswer: 0.0666","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -2*z + 4. Suppose j + 4*j - 24 = -2*x, -3*x = -z*j + 10. Let c be (-4 - -3)\/((-2)\/j). Calculate the greatest common factor of 4 and c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 15188?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -6*d. Let j be 1792\/13 - (-6)\/39. Let i(l) = -2*l**2 + j*l - 138*l. What is i(k(z))?\nAnswer: -72*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5\/3? (a) -2\/3 (b) -1 (c) -0.3 (d) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4679 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*s**2 + 5*s**2 + 6*s**2 - 5*s**2 + 0*s**2.\nAnswer: 9*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 2082*o + 4168. Let f be t(-2). Factor 9*s**5 + 640\/3*s - 1160\/3*s**2 - 128\/3 - 90*s**f + 300*s**3.\nAnswer: (s - 4)**2*(3*s - 2)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 63*a - 92 + 15*a + 92 + (4 - 4 + 2*a)*(0 - 4 + 1).\nAnswer: 72*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -6*l**2 + 208*l + 37. Determine z(35).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**1\/l**(-1\/3)*(l*l*l\/l**2*l*l*l*l)**8*(l**(-10)\/l*l*l*l**(-3\/2))**(-49) assuming l is positive.\nAnswer: l**(3335\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -c**3 + 6*c**2 + c + 2. Suppose 4 = 2*y - 6. What are the prime factors of m(y)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7639?\nAnswer: 7639","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 58, 201, 436, 763, 1182?\nAnswer: 1693","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*r - 41 - 3. What are the prime factors of r?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8136.749 decades to millennia.\nAnswer: 81.36749","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, d: 1, j: 1, k: 1, h: 1}. What is prob of picking 1 k and 1 c?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 76 divide 1570?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that 3*j**4\/5 - 12*j**3\/5 - 63*j**2\/5 - 12*j\/5 + 84\/5 = 0.\nAnswer: -2, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (-1*sqrt(832))\/(sqrt(4) - (sqrt(4) + sqrt(64)*1) - sqrt(4)) + (sqrt(143) - 1*sqrt(143)*2 - sqrt(143))\/((-2*sqrt(88))\/sqrt(8)))**2.\nAnswer: 54*sqrt(13)\/5 + 1278\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = j + 1. Let q(i) = -1. What is -2*c(y) - 3*q(y)?\nAnswer: -2*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1621920 - 1621935 - 5*a + 6*a.\nAnswer: a - 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 10\/(6 - (2 - -2)). Suppose -7*v + 112 = -2*v + h, 2*v = w*h + 34. Let d = v - 11. What is the highest common divisor of d and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nnllllnlqwvlnnwf. Give prob of picking 2 n, 1 l, and 1 f.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out -6 - 35.25043.\nAnswer: -41.25043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.157 - 67.157. Let r = c + 67.00057. Round r to 4 dps.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2084 is divided by 392.\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*r - p - 16 + 15, 15 = -5*r - p. Let z(w) = w - 8. Let h be z(5). Let x(t) = -t**2 - 2*t + 4. Let m be x(-4). Put h, m, r in increasing order.\nAnswer: m, h, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2712 divided by 12\nAnswer: 226","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -i**3 + 22*i + 19*i - 41*i.\nAnswer: -i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(44))**2 + -1)*-3.\nAnswer: -129","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((126\/(-105))\/((-18)\/20))\/1?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -2*k + 2*k + 16 + 27 + k. Let m be s(0). Calculate the greatest common factor of 387 and m.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2178.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.62 - -0.32. Which is the smallest value? (a) -11 (b) -0.1 (c) m (d) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 8988, 8601, 7956, 7053, 5892, 4473?\n\"Answer: -129*d**2 + 9117","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 65275 is divided by 21755.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -125 = -2*r - 2*h - 393, -404 = 3*r + 4*h. What is r rounded to the nearest ten?\nAnswer: -130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -y**3 - 3*y**2 - 2*y + 3. Suppose -60 = -150*z + 165*z. Give q(z).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 370 is divided by 26.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -12*u + 4268. Give v(71).\nAnswer: 3416","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that -3*p**5 + 7*p**4 + p**3 - 7*p**2 + 2*p = 0.\nAnswer: -1, 0, 1\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 486862910?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15781517.\nAnswer: 1031, 15307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = i**2 - 11*i + 22. Suppose -k + 3*n + 21 + 1 = 0, 0 = 4*k + 5*n - 20. Let m be z(k). Solve g = -2*g - m for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3074897726 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:48 PM and 3:11 AM?\nAnswer: 323","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -35\/1290669 and 37\/30.\nAnswer: 12906690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -108 + (-690)\/1449*-525?\nAnswer: 142","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -100 (base 5) to base 8\nAnswer: -31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*z - z + 2*z)*(z + 0 + 0)*(281 - 2 + 388 + (-1 + 1 + 1)*(1 + 0 + 1)).\nAnswer: 669*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -60.4 - -60.64. What is the nearest to 2\/7 in f, -1, -0.5?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0\/(6\/((-14)\/(56\/6)))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -35.92 * -1\nAnswer: 35.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/17, -235.28, 556?\nAnswer: -235.28","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 964 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 448 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 99\/39220 and -86\/29415?\nAnswer: 117660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 8*j**2 + 102*j - 32. What is k(-13)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x = 5*g - 10, -19 + 13 = -3*g - 5*x for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the first derivative of 3 + 0*w**3 + 2\/3*w**6 + 0*w + 0*w**5 + 0*w**4 - 3\/2*w**2. Find the second derivative of h(o) wrt o.\nAnswer: 80*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 3*l - 33 = 0, 45 = 5*l + 25. Suppose -5*j = 3*f + 24, r = f + 10. Sort -0.076, 2, j, 0 in increasing order.\nAnswer: j, -0.076, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l = -7 + 2, 4*p + 3*l + 1 = 0 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = n**2 + 87*n - 16. What are the prime factors of x(8)?\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c + 4*l - 269 + 364 = 0, 16*l = 2*c - 390 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 700 and 16975?\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 115\/7050 - ((-1)\/3 + (-15)\/(-45)) and -19\/240.\nAnswer: 11280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.028197 and 2466208.629.\nAnswer: 2466208.600803","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.024 + 7.976. Let z = -8.3 + m. Let r = 0.4 + 0. Which is the closest to z? (a) -5 (b) -2\/23 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -471 + 18?\nAnswer: -453","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nnnnfnfnnnn. What is prob of sequence nnff?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 16*q**3 + 82*q**2 - 404*q + 512. Let h(f) = 2*f**3 + f**2 - 2*f. Let k(o) = -10*h(o) + m(o). What is a in k(a) = 0?\nAnswer: 2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1719 times -0.1\nAnswer: -171.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -3*v**2 - 14*v - 8. Let j(d) = 2*d**2 + 7*d + 4. Calculate 7*j(z) + 4*m(z).\nAnswer: 2*z**2 - 7*z - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 42959611 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 106931174?\nAnswer: 2, 7, 7637941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k**(-21)\/(k**(-3\/7)*k))**(1\/6))**2)**6 assuming k is positive.\nAnswer: k**(-302\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-8)\/20 + (-54)\/(-10). Let v(x) = x**3 - 3*x**2 - 2 - z - 1 + 3*x - 3*x**2. Is v(7) a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -167*y + 40 = -165*y - 5*d, -35 = -y + 5*d. Let l(r) = -r**2 - 6*r + 10. Determine l(y).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) 4\/22275 (b) 1 (c) 0 (d) -0.4 (e) 1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 165 minutes after 9:23 AM?\nAnswer: 12:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 323203054.\nAnswer: 2, 227, 443, 1607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = b**2 - 8*b + 19. Let s(v) = -v**2 + 15*v + 120. Let t be s(21). Let x(w) = 2*w**2 - 16*w + 36. Let d(h) = t*x(h) + 11*g(h). Give d(6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 214 + 14\/(-3) + 10\/15?\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 420648929 to the nearest integer?\nAnswer: 749","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -25 - (38 + 10 - 58)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 237b + -2?\nAnswer: 2379","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -8.12 - -1.12. What is the closest to r in -4, -1\/8, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2232 is divided by 114.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -68 (b) 3\/64 (c) -5 (d) -3 (e) 2\/3 (f) -0.9 (g) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - h = -7, 0 = -7*h + 2*h + 15. Let y(p) = -p**2 + 6*p + 2. Let u be y(6). Let i = o + u. Is i a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 134*r + 128*r + 5*r**4 + 2 + 2*r**2 - 260*r - 7*r**3 - 3*r**4 - 2*r**3 in the form a*r**2 + m*r + f*r**4 + q*r**3 + i and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t = 3*t + 4 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ozl when three letters picked without replacement from luzuunzvvzvuvlo?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*z**3 - 11*z**3 + 8*z**3 + 6*z**3.\nAnswer: 6*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the third derivative of -3*d**7\/14 + 7*d**4\/4 + 2*d**2 - 95*d. Find the second derivative of h(m) wrt m.\nAnswer: -540*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 385280 and 2520?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 2*k + 20 = 0. Let s(o) = o**3 + 4*o**2 - 2*o - 3. Let y be s(k). Suppose -y*z = 8 - 78. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-18)\/(-63) + 184\/(-140). Let h = 10\/7 + m. Which is the fourth smallest value? (a) 4\/3 (b) h (c) -5 (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6 in 0.3, 0.4, -2, 4\/42515, 11?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13*f - 2*f + 6*f)*(0*f - f + 2*f + (-3*f + 3*f - 2*f)*(3 + 0 - 2) + 0*f + f + 0*f - 2*f + 4*f - 6*f)*(2 + 14 - 1).\nAnswer: -1020*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 161.82531 nanoseconds to days.\nAnswer: 0.000000000001872978125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 5, p: 4, o: 4, i: 2}. Give prob of picking 1 y and 1 o.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 779 is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 12 = -0*c + 5*c, -5*c + 28 = u. Solve 0*h - u = 2*h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 182 + -92. Calculate the highest common factor of 10 and v.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-13)*a*a*a\/a**(-11\/2))**(2\/55)*(a\/a**(1\/4))**(-7\/6)*a**7\/(a**(-5)\/a) assuming a is positive.\nAnswer: a**(5263\/440)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*i + 3*t - 248, -2*t = 2*i - 19 - 105. What is the remainder when 4\/(16\/1724) - -1 is divided by i?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 - -11 - -1 - 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) be the second derivative of -n**7\/14 + 9*n**5\/20 + n**4\/2 + 2*n. Suppose x(k) = 0. What is k?\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11 - (-27 - (0 + 10 + -8)).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -30 + 55. Solve -5*b + l = -0 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 717*d*h + 1161*d - 2*h wrt h?\nAnswer: 717*d - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 11*m - 20*m + 18 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -6057458*g. Let j(w) = 11*w. Give n(j(p)).\nAnswer: -66632038*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 15, -180, -747, -1866, -3717?\nAnswer: -6480","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t, 1 f, and 1 v when three letters picked without replacement from vytvdfmy.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) be the second derivative of -f**5\/20 + 5*f**4\/12 + 5*f**3\/6 + 7*f**2\/2 + 45*f. Determine x(6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -681965\/247 - -2761. Let l = 974\/1729 + d. Which is smaller: 1 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -53 (b) 0 (c) 1 (d) 39 (e) -6\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*z**2 - 4*z**2 - z - z**2 to the form n*z**2 + d + k*z and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -19*l**3 + 3*l**2 + 2*l + 1. Let n = -16 - -26. Let t(h) = h**2 - 9*h - 12. Let p be t(n). Is y(p) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 521?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -24*k**2 + 41*k**4 + 2*k + 23*k**4 - 14*k**4 + 17*k**4 in the form v*k**2 + m + i*k**3 + y*k**4 + f*k and give v.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 101481707 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6 - (2\/(-3))\/(14\/138411)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/((1\/3)\/((-1)\/(-3))). Solve 6*s - 2*s - 20 = -4*n, 0 = h*n - 2*s + 6 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i - b = 17, 0 = 4*i - 4*b - 0 - 32 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4 + -35. Let j = -19 - b. Calculate the remainder when (1 - -20) + 6\/6 is divided by j.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 74218 at most as big as -1646?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 45751 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 29*l - 53*l**3 - 29*l + (0 + 2 - 5)*(3*l**2 - 3*l**2 - l**3).\nAnswer: -50*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -4*v**2 - 7*v. Let n = 276 - 272. Suppose -p + 6 = d, 42 - 18 = n*d - p. Let q(b) = 9*b**2 + 15*b. Give d*q(u) + 13*x(u).\nAnswer: 2*u**2 - u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 65.24604 litres?\nAnswer: 65246.04","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 36 + -42. Let v(o) = -9*o**3 - 5*o**2 - 18. Let m(c) = -9*c**3 - 6*c**2 - 19. Let n(s) = u*v(s) + 5*m(s). What is the derivative of n(f) wrt f?\nAnswer: 27*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3152743 is divided by 2856?\nAnswer: 2575","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 133*y**2 - 2539*y**2 + 15*y - 52*y + 37*y.\nAnswer: -2406*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 472*a**2 + 5. Let n(t) = 280*t**2 + 3. Let g(c) = -3*l(c) + 5*n(c). Let o(v) = -2*v**2 + 35. What is o(g(y))?\nAnswer: -512*y**4 + 35","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 13 + -29 - -28?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = -97 + 10. Let l = -15 + c. What are the prime factors of l?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 309*a - 328*a = -209. Solve 0 = -3*y - 5*v - a, 3*v + 0 = 2*y + 1 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -2*j**3 + 5*j**2 - 6*j + 10. Suppose -120 + 72 = -24*s. Let l be p(s). Let q be ((-2)\/2)\/(-1) + 1. Solve -t + l*t + q = 0 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -11 - -15. Let k be (t\/5)\/(4\/40). Suppose -k*r + 490 = 82. What is the units digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:04 AM and 5:29 PM?\nAnswer: 685","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = x**2. Let y(n) = -37*n + 554. Let l be y(15). Let d(b) = -6*b**3 - 4*b**2 + 9*b. Let f be -3 - -3*(-6)\/(-9). Let h(t) = f*i(t) + l*d(t). Factor h(q).\nAnswer: 3*q*(q - 1)*(2*q + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 10*h - 1. Let b be i(-1). Suppose 36*l + 313 = -2531. Let s = 69 + l. Which is smaller: s or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 minutes before 6:51 PM?\nAnswer: 6:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -28583\/8 + 3562. What is the common denominator of 5\/15*23\/((-184)\/(-210)) and i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate t*x**3 - 34*t*x + 615*t - 2*x**3 - 8425*x**2 + x with respect to t.\nAnswer: x**3 - 34*x + 615","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a tonne in kilograms?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 259586 is divided by 5556.\nAnswer: 4010","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -393, -390, -387?\n\"Answer: 3*t - 396","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p = 36, 17*n - 5054*p + 5050*p = -37 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 45 and 825.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 133 - 109. What is the remainder when b is divided by 18?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = u**2 + 34*u + 8. Let o be f(-34). Solve -8 = -0*d - 4*d - n, -o = -4*d + n for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6*o**6 - 3*o**5 - 160*o**3 - 32937*o**2.\nAnswer: 720*o**3 - 180*o**2 - 960","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -15316.115 rounded to the nearest 100?\nAnswer: -15300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -2069*g**3 + 3*g**2 + 9*g + 7. Is c(-1) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 91976 and 56?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 2*r**2 + 123. Let v(l) = 56*l + 5. Let f(x) = 22*x + 2. Let i(q) = -5*f(q) + 2*v(q). Determine p(i(d)).\nAnswer: 8*d**2 + 123","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2109*q + 2113*q - 5*o = 58, 3*q = 2*o + 26 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 187, 181, 175, 169?\nAnswer: 163","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + i + 3*i - 22 = 0, 22 = -g + 5*i. Let j = g + 35. What is the remainder when 49 is divided by j?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 - (0 + -4 - -6).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 2*g**3 - 2*g + 2. Let i(y) = y**2 - 49*y - 396. Let d be i(56). Let u(n) = 9*n - 8*n**3 - 9 + 36*n**2 - 71*n**2 + 35*n**2. What is d*u(w) - 18*x(w)?\nAnswer: -4*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 112709?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2 - -6. Let q(r) = 1 + n*r**2 - 4*r**3 + r - 3*r**2 + r**3. What is the units digit of q(-1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 2 (b) 0.574 (c) -5\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 168 = -0*s + 5*s + 4*q, 0 = 3*s - 3*q - 90. Suppose 8 = -d + s. What is the remainder when d is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 531*w**3 - 5*w**2 + 6*w**2 - 2 + 0*w**2 + 2*w - 2*w**2. Let p be o(1). Suppose -3*b - p = -3*y - 164, 4*y = 5*b + 493. Is y a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -63034406, -63034404, -63034402?\nAnswer: -63034400","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (1015 - 1031) + 0 + 1 + (-3 - -2)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 85\/4 of a hour?\nAnswer: 1275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1005146348 to the power of 1\/6, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(17) + (sqrt(17) - sqrt(68)\/sqrt(4)*3) - sqrt(1700)*-1)*4*6)**2.\nAnswer: 3172608","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -21 - -21.2. Let p = -0.03 - d. Let f = 0.22997 + p. Round f to four dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -3*q**2 + 6*q + 5. Let d(h) = h**2 - 3*h - 3. Let i(b) = 9*d(b) + 4*w(b). Let r(g) = -4*g**2 - 3*g - 7. Let z(c) = 5*i(c) - 4*r(c). Calculate z(5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*n + 15 - 0. Let m = -52 - n. Let k = 15797\/6 - 2644. Calculate the common denominator of k and m.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 4*t + 9 + 3 = 0, -3*z + 4 = -2*t. Is z*348 - (-70)\/10 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*u - 3*x + 3, 2*u - 5*x = -x + 8. Is (4\/u)\/((-22)\/32637) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -134*m - 688. What is a(-5)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -m**2 - m + 1. Let r(y) = 14*y**2 + 3*y - 4. Calculate 4*h(j) + r(j).\nAnswer: 10*j**2 - j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 44 and 44?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) be the third derivative of -1\/630*b**7 + 0*b**3 + 78*b**2 - 1\/9*b**5 + 0*b**4 - 1\/40*b**6 - 2 + 0*b. Factor t(x).\nAnswer: -x**2*(x + 4)*(x + 5)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -10, 50, 186, 398, 686?\n\"Answer: 38*p**2 - 54*p + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 24 + -31. Suppose 0 = -5*l + 2*l - 6. Let y(h) = 2*h - 4. Let d(a) = -6 - 8 + 2*a + 15 - 3*a. Determine b*d(t) + l*y(t).\nAnswer: 3*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -5 (b) -0.1 (c) 0.304034 (d) 2\/17\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8416033?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = 4*y - 35, 0*y + 4*y = 20. Does 15 divide -5 - (m + 1456\/(-7))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -2*c**3 - 3*c**2 + 5*c + 4. Suppose 3*b - 3*d - 27 + 138 = 0, -5*b + d - 197 = 0. Let f be b\/30*54\/24. What is j(f)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = 8 + 7. Find the second derivative of -2*l**4 - 5*l**3 + 5*l**u + 4*l**4 - l wrt l.\nAnswer: 24*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -41896.737 - -41897. Which is greater: -0.017 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -159, -347, -535, -723, -911?\nAnswer: -1099","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -g**2 - 6*g + 6. Let y be k(-7). Does 65 divide ((-30)\/20)\/((y\/(-260))\/(-1))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(((l**0*l)\/l)\/l))**(-2\/7)\/(l**(1\/11)\/l**(2\/7)) assuming l is positive.\nAnswer: l**(-29\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 12*g - 91. What is b(8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 9763 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37 = 11*z - 15 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0\/(-10 + 15) - (-1 - -1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13885 divided by 1294.\nAnswer: -13885\/1294","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 + (-7 - 0) + 4.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*d + 5 - 29 = 0. Suppose d*g - 8 - 12 = 0. Sort -1, 3, g in decreasing order.\nAnswer: g, 3, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -14 (b) 0.055 (c) -85 (d) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(180) + 2 + sqrt(180))**2 + 0 - (-3 + sqrt(180))*-4.\nAnswer: 72*sqrt(5) + 712","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = b**2 + 20*b - 257. Let p be w(-29). Solve -3*m + p = -2*k + 17, -4*k = -5*m - 21 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.11945022 rounded to 4 dps?\nAnswer: -0.1195","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) be the second derivative of -k**5\/20 + k**4\/4 + 2*k**3 - k**2 - 104*k. Is c(-3) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the third derivative of y**4\/3 + 6*y**2. Let n(q) = -43*q - 6. Let g(v) = -122*v - 17. Let w(m) = 6*g(m) - 17*n(m). What is l(w(u))?\nAnswer: -8*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(243) - sqrt(243)*-3)**2*4 + 2.\nAnswer: 15554","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 407 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6945 + 6948. Which is the second smallest value? (a) 0.5 (b) f (c) 9.87\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -v**2 - 3*v - 3. Let m be b(-3). Is 11 a factor of 102\/9 + 1\/m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2324328 is divided by 3003?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - -2.68.\nAnswer: 6.68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the third derivative of 0*r**6 + 0*r**3 + r**2 + 1\/20*r**5 + 0*r**4 + 0*r + 0*r**7 + 0 - 1\/336*r**8. What is the third derivative of q(x) wrt x?\nAnswer: -60*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 43\/93192 and -65\/2857888.\nAnswer: 8573664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 62\/523719 > -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = f**3 + f**2 + 2*f + 4. Let l be z(0). Suppose 4*p = 3*h + 2819984, -3*p + l*p = 2*h + 1879996. Round h to the nearest one hundred thousand.\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2932 (base 12) to base 4.\nAnswer: 1022312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -11345120 by -116960.\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1\/(12\/40) - 4. Which is the nearest to y? (a) 1\/12 (b) 2\/5 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 2*o**2 - 12*o. Let a(m) = -3*m**2 - 2*m - 2. Let p(c) = 4*c**2 + 3*c + 3. Let n = 39 + -35. Let l(b) = n*p(b) + 6*a(b). What is l(g(s))?\nAnswer: -8*s**4 + 96*s**3 - 288*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-2*1*sqrt(84))\/sqrt(12).\nAnswer: 4*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11334.\nAnswer: 2, 3, 1889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of 37889 and 3.\nAnswer: 113667","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3448ba - -31?\nAnswer: 34492b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) 0.4 (b) 19 (c) 2\/7 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 13255303 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 194 minutes before 3:22 PM?\nAnswer: 12:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 80913.69 millennia?\nAnswer: 970964280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is eighteen fifths of a millimeter in micrometers?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1674344, 1674363, 1674416, 1674521, 1674696?\nAnswer: 1674959","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 69 and 0.022.\nAnswer: 1.518","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -154 - -2?\nAnswer: -152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-462)\/(-63) + 7 + 2\/(-6). Calculate the greatest common factor of 679 and d.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/(d**(-1\/4)\/d))**(-4)\/((d\/(((d*d**(-5\/2))\/d)\/d))\/(d*d**6)))\/((d*d**4)\/(d*d**4))**(9\/4) assuming d is positive.\nAnswer: d**(-13\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*x - 6*x + x + (1 + 1 - 1)*(-x + 4*x - 5*x) - 1 - x + 1 - 7*x - x + 6*x in the form v*x + w and give v.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: What is 8199154 to the power of 1\/2, to the nearest integer?\nAnswer: 2863","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6478409*v - 6478408*v + 4 + 1 - 5.\nAnswer: v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:38 PM and 3:14 PM?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 152?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/2, 461800, 4\/5, -5, -2\/3 in decreasing order.\nAnswer: 461800, 4\/5, 1\/2, -2\/3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 2624 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 165159169 less than 317?\nAnswer: -165158852","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2119 is divided by 38.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2320 = -11*f + 3*f. Is 29 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 61\/2 of a microgram in nanograms?\nAnswer: 30500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 47614 and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 107140447 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -333453*d**4 - d**2 + 448696?\nAnswer: -8002872*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 7268 and 108388?\nAnswer: 316","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 5 = 11. Let s be ((-38)\/(-4))\/(7 + (-65)\/10). Let n = s - i. Is n a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = u**2 + 22*u - 93333. Determine d(294).\nAnswer: -429","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 97*l**3 - 209*l**3 + 1 + l - 296*l**3 + 7*l.\nAnswer: -408*l**3 + 8*l + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1819 is divided by 602?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t**3 - 6*t**2 - 2*t - 9. Let p be s(-7). Let m be -2 - 57\/p*-2. Let l = -162 - -158. Which is the biggest value? (a) l (b) m (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-25)\/(-70)*125\/(-1250)?\nAnswer: -1\/28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 21*h**3*o + 2*h**2*o**2 - 10*h**2*o + 3*o**2 + 1469 with respect to h.\nAnswer: 63*h**2*o + 4*h*o**2 - 20*h*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 9\/(-15) + (-474)\/(-15). Suppose 2*w - v = -5*c + 3*w, -2*c + 9 = 3*w. Differentiate -2*b**3 + 4 + 9*b**3 + c wrt b.\nAnswer: 21*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -31*z**3 + 2*z + 3. Let n(b) = -60*b**3 + 3*b + 7. What is 7*k(m) - 3*n(m)?\nAnswer: -37*m**3 + 5*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/9, -2\/11, 4\/3, -5\/2, -4\/9 in descending order.\nAnswer: 4\/3, 2\/9, -2\/11, -4\/9, -5\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -69 + 68.8. Let t = 0.2 + -0.3. What is the nearest to f in 2, 5, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -63 - -68. Let a(x) = x - m*x + 7*x. Let b(r) = 8*r. Calculate b(a(s)).\nAnswer: 24*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 1\/2315575?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -38*(-2)\/6*(-2 - 1). Is 21 a factor of (-1 + v)*20\/(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -4514 or -4747?\nAnswer: -4514","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*f - 3*q - 255 = 0, -2*f - 5 = -56*q + 61*q + 4 for f.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the second derivative of -t**3\/6 + 3*t**2\/2 + 25*t. Let g be q(3). Suppose -3*u - 151 + 454 = g. What is the units digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -275238018 by 6.\nAnswer: -45873003","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 16 - 13. Suppose -m*h - 54 = 186. What is the hundreds digit of 3\/((-30)\/25)*h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 12 - 2. Let o(i) = -2*i - 5*i - 2*i + c*i. Let y(m) = -m + 1. Let s(z) = 8*z - 6. Let p(n) = -s(n) - 6*y(n). Give o(p(j)).\nAnswer: -2*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (931\/196)\/((-38)\/(-12))?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 232*l + 73*l - 34579 + 1917 = -3077 for l.\nAnswer: 97","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (o**2 - 2*o**2 + 2*o**2)*(-o - o + o)*(1 - 2 + 4) to x*o + y*o**2 + w*o**3 + a and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1 + 2 - (-5 + 0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 14410079 to the nearest one hundred.\nAnswer: 14410100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1356 to the power of 1\/3, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 59\/20 and -59\/6266.\nAnswer: 62660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2416?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t**5\/11 + 92*t**4\/11 - 798*t**3\/11 - 3008*t**2\/11 - 2120*t\/11 = 0 for t.\nAnswer: -53, -2, -1, 0, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) be the third derivative of v**5\/60 - v**4\/24 + 4*v**3\/3 + 9*v**2. Calculate the remainder when j(0) is divided by (-17)\/(-5) + (-4)\/10.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 184 minutes after 4:29 AM?\nAnswer: 7:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -26787 times 17?\nAnswer: -455379","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 3 = -7. Suppose -5*f + 0*c - 92 = -3*c, 0 = 5*f - k*c + 96. Let b be (f\/6)\/(4\/(-6)). Solve 2*s - 5*s + 3*o = 0, b*s = -2*o for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:20 AM and 5:04 PM?\nAnswer: 704","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r**(2\/11))\/r*r**(-2\/7))**2*(r**(-2\/13)*r**(-2))\/(r*r**(-3\/7)*r**0*r) assuming r is positive.\nAnswer: r**(-3937\/1001)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f**3 + 11*f**2 + 2*f - 75. Let x(o) = -o**3 - o**2 + 7*o + 5. Let t be x(3). What is the lowest common multiple of q(t) and 7?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6*-8 + (2133 - 2113).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 16c (base 13) to base 16.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -398, -408, -420, -434, -450, -468?\n\"Answer: -w**2 - 7*w - 390","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 17, a: 2}. What is prob of sequence app?\nAnswer: 16\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(3\/5)*j*j**(1\/4))\/(j**(3\/2)*j**5) assuming j is positive.\nAnswer: j**(-93\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 109 a factor of 23141?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 2*j + 95. Let n be k(-9). Suppose -n*a + 79*a - 50600 = 0. Round a to the nearest 10000.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -18 + 24 + 42 - 31?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.016 and -0.1.\nAnswer: 0.0016","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 26\/9 (b) 4\/3 (c) 2 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*z**3 + 24 + 100 + 0*z + 0*z + 151 - 275.\nAnswer: 10*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) be the third derivative of 3*f**2 + 0*f + 0 + 1\/2*f**3 + 1\/12*f**4. Suppose -8 = -2*l - 2*l, 28 = -4*b + 4*l. What is r(b)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = c**2 + 104*c + 2645. Calculate s(-49).\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 2 q when three letters picked without replacement from {x: 2, h: 6, v: 9, q: 2}?\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Add -4 and -40.33608.\nAnswer: -44.33608","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.0265 + 0.4665. Which is smaller: m or -0.017?\nAnswer: -0.017","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 97009400213 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the second derivative of -65*b**7\/42 - b**3\/6 - 4*b**2 - 4*b + 13. What is the second derivative of o(g) wrt g?\nAnswer: -1300*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 2380?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + x = 2*b + 11, -25 = -5*x. Let d = 24 + -22. What are the prime factors of b*(1\/1 - d)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3590211\/160 or 22438?\nAnswer: 3590211\/160","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 24 - ((-11)\/(-3) + (-5)\/(-15)). Let t be (-3)\/15*-2136 + (-4)\/k. Suppose 22 = a - t. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7*(48\/392)\/((-1)\/(-7))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -13.137 to zero decimal places.\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 351026443 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sxf when three letters picked without replacement from {n: 8, f: 2, x: 7, s: 3}.\nAnswer: 7\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 115\/5747136 and -71\/364050?\nAnswer: 431035200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (47*j**3 - 64*j**3 - 21*j**3)*(-677*j + 338*j + 457*j) as l*j**2 + p*j**3 + u*j**4 + n + i*j and give u.\nAnswer: -4484","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rjvj when four letters picked without replacement from {r: 4, v: 3, j: 4, h: 7}?\nAnswer: 1\/510","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 9\/(9\/26) + 0?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1727918 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 5*y. Let p be (24\/28)\/(6\/(-42)). Suppose -4*b - r + 22 = 0, -r - 13 = -3*b - 0*r. Let o(h) = 4*h. What is b*i(s) + p*o(s)?\nAnswer: s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + -32654.4834?\nAnswer: -32652.4834","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y**2 + 246*y - 35325 = 0. Calculate y.\nAnswer: -157, 75","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.1661586 to 4 dps.\nAnswer: 0.1662","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*l**3\/17 + 6228*l**2\/17 + 24936*l\/17 + 24944\/17.\nAnswer: -2*(l - 3118)*(l + 2)**2\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the first derivative of -3*o**2\/2 + 5*o + 7. Let t be b(2). Let g(l) = -9*l**3 + 1. Give g(t).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 715 divided by 10?\nAnswer: 143\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 73, 241, 521, 913, 1417?\nAnswer: 2033","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 335314433?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.02 and 6.\nAnswer: 0.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 108106 and 372145.\nAnswer: 283","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -f**2 - 8*f - 8. Calculate the lowest common multiple of 22 and b(-4).\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -118677919, -237355837, -356033755?\nAnswer: -474711673","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 9026405, 36105616, 81237635, 144422462, 225660097, 324950540?\n\"Answer: 9026404*m**2 - m + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 190*s + 1561 = -1099 for s.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((sqrt(75) - (1 + sqrt(75)*2 - sqrt(75)))*-5 + -5)**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 291033?\nAnswer: 3, 3593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a + 3*a + 15 = 0. Let i(n) = -3*n + 10. Let o be i(4). Is o smaller than a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -576 divided by -3?\nAnswer: 192","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 - 13 = 2*i + 5*w + 26, 0 = 76*i + w - 71 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u*u*u*u\/u**(2\/21)*u*u**(-2)*u**0*u**(-3\/2) assuming u is positive.\nAnswer: u**(59\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -32 - 269*k + 32 - 35*k + 12*k to j + v*k and give v.\nAnswer: -292","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1511?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 9*u + 20*u - 29 - 37*u in the form z*u + p and give z.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 37503 is divided by 6240.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-j**2 - 2*j**2 + 4*j**2)*(500*j**2 - 952*j**2 + 520*j**2).\nAnswer: 68*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -39528.8 + 39434.7732. Let b = z + 94. Let t = b + 0.03. What is t rounded to three decimal places?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.088? (a) 19 (b) -2 (c) -4 (d) -0.141 (e) 32 (f) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -148294 - -268294. Suppose -b = c + 2*c. What is c rounded to the nearest ten thousand?\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -490839 divided by -16\nAnswer: 490839\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*m = 18*m - 2640000. Round m to the nearest 100000.\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 7 (b) 0 (c) -53\/55 (d) -118\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 690.1376 rounded to the nearest one hundred?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 185107 minus -11?\nAnswer: 185118","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 44 and 33.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -102031322 (base 4) in base 8?\nAnswer: -221572","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 383943.\nAnswer: 3, 7, 47, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = -2*l + 2*j + 174, -2*l + 3*j = -184. Let r = 237 + l. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4442710 to the power of 1\/6, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y + 3 = 4*z, -56*z + 15 = -3*y - 54*z for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -48*h + 8*h**2 + 5416*h**4 - 8*h**2 + 2*h**2 - 5414*h**4 in the form f*h**2 + o + q*h**4 + w*h + c*h**3 and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = h + 7*h + 32 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 813054 - 809854 = 80*x for x.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 23\/8 + -177\/56. Which is the closest to -0.01? (a) 3 (b) x (c) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -596 + 592. Suppose 0*r - 4 = -r, 3*b - 4*r + 34 = 0. What are the prime factors of b*2\/n - -141?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 4*r**2 - 10*r - 8. Suppose 2*v - 3*y = 20 - 3, -5*v + 29 = -3*y. Calculate o(v).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the first derivative of 4*o**3\/3 + 258*o**2 - 2680*o + 7569. Solve z(c) = 0.\nAnswer: -134, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -19*p + 125. Give m(6).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12473.\nAnswer: 12473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -58708 + 0.0199.\nAnswer: -58707.9801","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1*1\/(-2)*-4. Let g = -501 - -489. Put 1, g, b in descending order.\nAnswer: b, 1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1\/6 - 58\/60. Which is smaller: -2 or c?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 67 and 152023?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 7 in 0.2, 0.5, 2\/5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 2294544?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33*f + f**2 - 5*f**2 - 5*f - 3*f.\nAnswer: -4*f**2 - 41*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2258 in 0, 66, -2.6, 1?\nAnswer: -2.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + x = 1079, -35*n = -33*n - x - 541. Suppose -n + 1800 = 10*l. What is the remainder when l is divided by 68?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1078745 and 193901?\nAnswer: 2731","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 1 + 1)*(0 + j + 0)*(j - j + 2*j**3).\nAnswer: -6*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 1 - 4 = 0. Suppose -5*y - c - 3 = -s, 0 = s + 4*y - 22. What is the remainder when s is divided by (2\/(-5) - -1) + (-81668)\/(-24020)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -21 + 23. Suppose 0 = 3*z - 5*g - 181, 5*z - g - d*g = 323. What are the prime factors of z?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1484294039 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 33817 = 4*d, -5*d + 24302 + 17973 = -5*o. What is the tens digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the second derivative of -k**8\/1680 + k**5\/15 - k**3\/3 - 14*k. Let t(a) be the second derivative of d(a). Find the second derivative of t(x) wrt x.\nAnswer: -12*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 divided by -266?\nAnswer: 5\/133","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2593\/2 - 1296. Let c = -196 - -198. Put c, 3\/8, v, -4 in decreasing order.\nAnswer: c, v, 3\/8, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 9.94 - 9.14. Let z = -1 + 1. Let h = -0.1 - z. Which is the closest to h? (a) -2 (b) 5 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + 4 + 3*(sqrt(2448) + -1*sqrt(2448) + -2 - (sqrt(2448) - -2*sqrt(2448))*-1))**2 + -3.\nAnswer: -432*sqrt(17) + 198289","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-4)\/26 + (-205)\/(-65) + 41. Calculate the highest common divisor of g and 110.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) be the first derivative of -m**7\/280 + m**4\/6 + 2*m**3\/3 + 3. Let s(n) be the third derivative of j(n). Differentiate s(g) wrt g.\nAnswer: -9*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.16 - -3.09. Let g = s + -2.08. Let q = g + -0.38. What is q rounded to one dp?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 4, 2\/9, 1\/3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/4 of a litre in millilitres?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 0.574169 millennia?\nAnswer: 57.4169","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*r + 311*w - 315*w + 28, 5*r - 5*w = 70 for r.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 17506 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 189603749 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 12 = c - 4*q, -4*q = -8. Suppose c*i - i = 32. Let a(o) = o**3 - 7*o**2 - 6*o - 10. What is a(i)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 7889*h**2 + 4891 wrt h.\nAnswer: 15778*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*o - 2 - 18. Let r = 13 - o. Let q be 4 + (0 + r - -2). Let n(s) = -4*s + 4. Let j(c) = 17*c - 17. Calculate q*n(u) + 2*j(u).\nAnswer: -2*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-12844)\/(-4940))\/(13\/40).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*i - 19323*i**2 + 0*i + 65 + 9650*i**2 + 9637*i**2 to v*i**2 + b*i + r and give v.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oxqxoaqnxyoxoox. What is prob of picking 1 y, 1 n, and 1 o?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 5*j + 47. Let h be r(-9). Solve 0 = -4*z + 3*l - 20, 3*z + 0*l + 2*l = h for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 366 minutes after 1:31 AM?\nAnswer: 7:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4\/(-15) - 2\/(-9). Let z = 1.07 + -0.895. Let m = z + -1.175. Which is smaller: v or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hhmh when four letters picked without replacement from {h: 11, m: 9}?\nAnswer: 99\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(13) - sqrt(208))**2 + sqrt(143)\/sqrt(539) - ((sqrt(130) + (sqrt(130) + -1*sqrt(130))*6 + sqrt(130))\/(sqrt(10) + sqrt(20)\/sqrt(2)*-3))**2.\nAnswer: sqrt(13)\/7 + 101","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -h**2 + 8*h - 3. Let t = -14 + 21. What is the units digit of p(t)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2013 and 2347829.\nAnswer: 671","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = w**2 - 2*w - 3. Determine n(3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1326934 a multiple of 38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 509*q**3 + 2485*q**2?\nAnswer: 3054","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -v**3 + 21*v**2 - v + 35. Let b be g(10). Let r be b\/(2*1\/(-57600)). Round r to the nearest one million.\nAnswer: -32000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 20870, 83993, 189354, 336953, 526790, 758865, 1033178?\n\"Answer: 21119*j**2 - 234*j - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -21*i - 141. Let h be x(-7). What is the hundreds digit of (-6052)\/h*(-24)\/16?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 111550 (base 11) in base 3?\nAnswer: 100000201212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -156 + 182.8. Let f = n + -27. What is the closest to f in 5, 1\/5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 16 - -4. Suppose 0 = 4*u - j - 32. Suppose -14 - u = -3*a. What is the units digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 256 (base 7) to base 3\nAnswer: 12011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g when two letters picked without replacement from {g: 5}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -250 = -5*j + 515. Is 9 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00007184797 rounded to 5 dps?\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 144 and 900.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in -0.3, 5, 7, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -4*(-721)\/(-112)*(-1080)\/(-1350)?\nAnswer: -103\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -f**2 - f + 1. Let w be j(1). Let d = -2810 - -2811. Sort d, -5, 4, w in descending order.\nAnswer: 4, d, w, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q**3 + 4*q**2 - 3*q - 2. Let z be n(5). Let m be (-3)\/(z\/38) - 3. Let u = -0.2 - -0.1. What is the closest to m in 2, -5, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -71*w + 125. Let q be (12\/(-10))\/(12\/80). Does 9 divide y(q)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 21255 and 350155?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -413*i**3 - 153*i**3 - 408*i**3 + 966*i**3.\nAnswer: -8*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 14? (a) 0 (b) -0.4 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + 1)*(16*b + 3*b - 8*b).\nAnswer: 11*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 146899 is divided by 94.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10 + 11342?\nAnswer: 11402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + sqrt(153) + -2)**2.\nAnswer: -36*sqrt(17) + 189","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.1 and 1005.61.\nAnswer: 100.561","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**5*o\/((o*o**(6\/5))\/o)*o*(o\/(o**(-1\/2)\/o)*o)**(-1\/12) assuming o is positive.\nAnswer: o**(661\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2285762206 to the nearest integer?\nAnswer: 1317","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 443 = -74*s + 517 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 255.2065 litres in millilitres?\nAnswer: 255206.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.168 in 0.1, 0.026, -2\/5, 2\/11, 2?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 6, h: 1, w: 3, a: 5}. What is prob of sequence ahra?\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -39 - -44. Let k = 7.686 + -6.686. What is the closest to -0.1 in 9, k, u?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/(d*d**(-2))*(d\/(d*d\/(d\/(d**(-2)*d))))\/d*d)\/((d**(-2)*d)\/(d\/(d\/(((d**(-2\/9)*d)\/d)\/d))*d)))\/((d*d**(-1\/3)*d)**18)**(-2\/71) assuming d is positive.\nAnswer: d**(2954\/639)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2016)\/180)\/(22\/55)?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 3*x - 47 = -3, 0 = 3*b + 4*x + 68. Let q = -40 - b. Let a = q + 14. Solve 5*m - y - a*y = 0, 4*y = -4*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*r + 16*r - l - 134908 = 0, 4*r - 179864 = -2*l. What are the prime factors of r?\nAnswer: 2, 7, 11, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1312118 less than or equal to -1312116?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by -428?\nAnswer: 1\/107","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -164*j = 765 - 109 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -9 - -19. Suppose -5*a + 1 = 3*g - 29, -4*a + 30 = 3*g. What is the greatest common divisor of g and j?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 56\/42 - (-1 - (0 - 2)).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 2 - 2)*(3*q - 35 + 35)*(-q - q + 4*q) + 3 - 3 - 3*q**2.\nAnswer: -9*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/29, -1, 13 in ascending order.\nAnswer: -1, 2\/29, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/(-18) - (556168\/(-36) + 0) - 0 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -y + 3*q - 36, 0 = -5*y + 2*q - 15*q + 184 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 318 is divided by 305.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1871329 - 1871354 + 5614027 - 1871344 + 2*p**3.\nAnswer: 2*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 36*v**4 - 25*v**2 + v + 41*v**2 - 14*v**2 + 51*v**4 as f + a*v + n*v**3 + c*v**2 + b*v**4 and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -23.4218 to 1 dp.\nAnswer: -23.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 7802 divided by -166\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 2*b**2 - 20*b - 6. Does 8 divide f(11)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -49092.222 + -748898.\nAnswer: -797990.222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 194 = -2*y, 0 = -2*b + 5*b - 2*y - 114. What is the tens digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1146024 (base 8) to base 7\nAnswer: 2446404","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -233*l*r**3 + 31*l*r + 2*r**3 - 47287*r wrt l?\nAnswer: -233*r**3 + 31*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 11575, 11584, 11593, 11602?\nAnswer: 11611","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = s**2. Let p(t) = -t**2 - 11*t - 10. Let u be p(-10). Suppose u*z + 20 = 4*z. Let f(w) = w - 3*w + z*w. Give o(f(k)).\nAnswer: 9*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 277858 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15895 is divided by 30?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the first derivative of s**4\/4 + 8*s**3 + 65*s**2\/2 + 47*s + 149. Let n be l(-21). Solve 4*i - 8 = 2*a, -i - a + 9 = -n*a for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8157363 rounded to the nearest 10000?\nAnswer: -8160000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 82405 is divided by 5006.\nAnswer: 2309","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -102868153, -102868157, -102868161, -102868165, -102868169?\n\"Answer: -4*v - 102868149","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the third derivative of 0*t**3 + 0 + 0*t + 0*t**4 + 3*t**2 - 1\/20*t**5 + 1\/120*t**6. What is the third derivative of l(i) wrt i?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -2*r**2 + 18*r - 1. Let x(s) = -42*s**2 + 79*s - 3. Calculate -3*t(l) + x(l).\nAnswer: -36*l**2 + 25*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-16)\/(-6))\/(1 + (-1)\/3). Suppose 7*p + 7 = 5*p + i, n = -2*p + 4*i. Let v(c) = -3*c**2 - 4*c. Let g(f) = -7*f**2 - 9*f. Calculate p*g(h) + 9*v(h).\nAnswer: h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -252, -519, -782, -1041, -1296?\n\"Answer: 2*u**2 - 273*u + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -2*t**3 + 3*t**2 + 11*t + 23. Let s be y(-3). Calculate the highest common factor of 284 and s.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 416 minutes after 5:01 AM?\nAnswer: 11:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*c - 3*c + 7*c + 18*c in the form o + n*c and give n.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -735294 by -183.\nAnswer: 4018","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 2*z + 6. Calculate l(-4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 25.239519 months?\nAnswer: 0.00210329325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - (8 + -3 - 0).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the second derivative of -19*h**4\/12 + h**2\/2 - 5*h. Let w be v(1). Let t be w\/6*2\/15. Which is the nearest to t? (a) -5\/2 (b) 2\/9 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -14*r. Suppose 0 = -5*h - 2*o + 12, 3*o - 8*o - 5 = -5*h. Let d(n) = -n**h - 2*n**2 + 4*n**2. Calculate d(u(a)).\nAnswer: 196*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 24 = -0*i. What is the units digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.04182*53.\nAnswer: -2.21646","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -2*((-5 - -13)\/56)\/((-6)\/(-63))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 11\/63 and 5\/1098.\nAnswer: 7686","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 690?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = p**3 + 8*p**2 + 6*p + 1. Let t be g(-7). Let o be 1*3 - (4 - 3). Solve o*f + t = -0 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**1)**46*(v**(1\/15)*v)\/(v\/((v\/((v*v**5*v)\/v)*v)\/v)))\/(v**(7\/2)\/v**(-6\/11))**(34\/9) assuming v is positive.\nAnswer: v**(12763\/495)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j*j\/(j\/(j\/(j\/(j*j**(-1)*j))))*j)**30*j**4\/(j*j*j**(-1)) assuming j is positive.\nAnswer: j**123","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(45) + 1 + -3)**2.\nAnswer: -294 + 72*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -77800 rounded to the nearest 10000?\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -80.514 - 80\nAnswer: -160.514","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(18\/5))**(1\/32)\/((t*t**(-3\/19))\/(t**7\/t)) assuming t is positive.\nAnswer: t**(8011\/1520)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4*5\/50 + 2\/(-5). Suppose -4*b - 3*x + 1356 = z, -5*x + 692 = 4*b - 2*b. Calculate the highest common divisor of 42 and b.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.9 - 3.1. What is the nearest to 1 in u, 2, -0.3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16436778041 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 157.2 or 23\/134?\nAnswer: 23\/134","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -137, -234, -319, -386, -429, -442?\nAnswer: -419","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 29503?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cacpnqn. Give prob of picking 1 q, 1 n, and 1 p.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -65 - 61 + 2*w**2 + 126.\nAnswer: 2*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 9548 and 9251144.\nAnswer: 868","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15181.\nAnswer: 17, 19, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*l**5 - 26*l**4 - 218*l**3 + 1466*l**2 - 1224*l = 0. What is l?\nAnswer: -9, 0, 1, 4, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 234 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 247, 5, -285 in descending order.\nAnswer: 247, 5, -285","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12943?\nAnswer: 7, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -a**2 + 11*a - 6. Let z be g(10). Let i = z - 0. Suppose m + 111 = i*m. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 7 in 1, -1\/2, 0.4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 7*g**3 + 11*g. Let h(q) = q. Let u(r) = -4*h(r) + s(r). Find the second derivative of u(k) wrt k.\nAnswer: 42*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yg when two letters picked without replacement from ynxgajn?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6793 is divided by 151?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 58, 97, 132, 169, 214, 273, 352, 457?\n\"Answer: a**3 - 8*a**2 + 56*a + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r**2\/3 - 8530*r\/3 + 2844 = 0. What is r?\nAnswer: -4266, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 4*1*(-27)\/(-36)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 7328352 and 1991400.\nAnswer: 183208800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -v**2 - 12*v - 26. Let l be y(-8). Let h(a) = -a**2 + 3*a - 4. Give h(l).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -35574, -41384, -47194, -53004, -58814, -64624?\n\"Answer: -5810*s - 29764","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) be the second derivative of u**7\/10080 - u**6\/2880 - u**4\/6 - 3*u. Let a(z) be the third derivative of j(z). Let a(c) = 0. Calculate c.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14993800387 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2.717 - -2.7. Let i = -190 + 190.214. Let k = j - i. Round k to 2 dps.\nAnswer: -0.23","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 699 minutes before 10:51 PM?\nAnswer: 11:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 26548.482 months?\nAnswer: 221.23735","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 4 + 4)*(-4 + 1 + 2)*(5*y + 0*y - 2*y).\nAnswer: -24*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.5 - 0.4. Let y be (0 - 1)*(1 + -1). What is the closest to -0.2 in s, y, 2\/7?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = -h - 12. Suppose 2*y = h*y - 2. Let t = -1 + 1. Sort y, t, -5 in descending order.\nAnswer: y, t, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 15 and 4881?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*h = -3*h - 20. Is (85120\/25)\/h + (-1)\/5 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 2, x: 2, s: 5}. Give prob of sequence xex.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 220112 (base 6) in base 10?\nAnswer: 18188","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1606*n - 2681 + 12542 + 15835 = 0 for n.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the third derivative of p**7\/210 - 7*p**5\/60 - p**4\/4 + 462*p**2. Determine w, given that h(w) = 0.\nAnswer: -2, -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -110, 1\/11, 0.3, -3\/313?\nAnswer: -3\/313","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4, 25, 68, 145, 268, 449, 700?\nAnswer: 1033","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 7 = 3, -10 = -p + 5*f. Suppose 24 = -3*g + p*g. Suppose 2*m + m = g. Solve 3*u + 5 = m*u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -171.81 - -171. Let u = z - 1.19. Let s be (-10)\/(-5) - (0 + 0 + -1). Which is the second smallest value? (a) s (b) u (c) -0.4 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -l**2 + 46*l - 86. Let w be d(44). Let z(h) = 3*h**2 - h - 2. Let s(b) = 15*b**2 - 6*b - 10. Give w*s(y) - 11*z(y).\nAnswer: -3*y**2 - y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-55)\/44)\/(1\/(-56)). Calculate the greatest common factor of 28 and f.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 910617.\nAnswer: 3, 303539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1000925585128 minus 0.1?\nAnswer: 1000925585127.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 586*n - 1602. Let u be s(3). Calculate the highest common factor of u and 120.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.05 + -22.55. Let k = v - -23. Let w be 9\/(-60) + (-4)\/16 + 0. What is the second smallest value in w, -3\/2, k?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) be the first derivative of -u**4\/24 + u**3 + 3*u**2 - 8. Let w(j) be the second derivative of h(j). Let g be w(6). Put 3, 4, g in descending order.\nAnswer: 4, 3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*(2 + sqrt(833) - sqrt(833)) - -1*(sqrt(833) + sqrt(833) + 2))*6)**2.\nAnswer: 12096*sqrt(17) + 125136","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -2*z**3 - 2*z**2. Let f(m) = m**2 + 2*m + 1. Let p be f(0). Let b(u) = u**3 + 1. What is p*x(w) + b(w)?\nAnswer: -w**3 - 2*w**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the second derivative of -k**4\/12 - 16*k**3\/3 + 105*k**2\/2 - k + 626. Factor h(c).\nAnswer: -(c - 3)*(c + 35)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-28)\/(-42)*60\/16?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -106*d + 16. Let b be f(0). Let x(j) = -j**2 + 1 + 7*j**3 - j**3 - j**3. Let q be x(1). Solve -9 = q*o + b for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 112789*w**3 - 4*w**2 - 138*w + 5 wrt w?\nAnswer: 676734","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 123\/(-38007)*-103*(-4)\/54.\nAnswer: -2\/81","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*g**3\/7 + 1104*g**2 - 7146528*g\/7 + 1937902592\/7.\nAnswer: -2*(g - 2656)*(g - 604)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-110)\/(-165))\/(2\/6). Which is the nearest to -1\/4? (a) j (b) 1\/7 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 196, 50, -212, -596, -1108, -1754, -2540?\nAnswer: -3472","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -1208 divided by -2\nAnswer: 604","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, -6\/17, -1\/4 in ascending order.\nAnswer: -6\/17, -1\/4, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = l**3 + 5*l**2 - 8*l - 7. Suppose q = -2*k + 5 - 21, -4 = q. Let n be x(k). Let f be 50\/(-5) + 3 + 1. Which is the biggest value? (a) 1 (b) f (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1.096976 and 160.\nAnswer: 161.096976","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n - 12. Suppose 2*g - 11 = 37. Let d = g + -24. Determine t(d).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 39502391?\nAnswer: 4457, 8863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 84*a**2 - 23*a**2 - 29*a**2 - 32*a**2 + 679391*a**3.\nAnswer: 679391*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -41\/57 and 29\/4503.\nAnswer: 4503","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-6)\/8)\/((-30)\/(-16)). Which is the nearest to -3? (a) -2\/13 (b) h (c) -2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -233 - -236. Suppose l*c = -5*k + 25, 0 = k - 4*c + 7*c + 7. What is the highest common divisor of 80 and k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5322 divided by 6\nAnswer: -887","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -7 (b) 3 (c) -3\/8 (d) 0.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 243 is divided by 165?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 1918, 2929, 3940, 4951, 5962?\n\"Answer: 1011*t + 907","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 356142 (base 14) in base 11?\nAnswer: 103510a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.3, -4\/5, 17\/116?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1157 a factor of 57675293?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.570442 litres to millilitres.\nAnswer: 7570.442","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -362, -1, 0.2, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 17 = 5. Suppose -149 = 23*c - 57. Sort c, 3, o in decreasing order.\nAnswer: 3, o, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-24)\/(-18))\/(17\/102).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*28\/(-4)*1\/(-14).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-846)\/54)\/47)\/(((-410)\/(-12))\/(-5)).\nAnswer: 2\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 476952654 to the power of 1\/3, to the nearest integer?\nAnswer: 781","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 7*s + 25. Let z be x(9). Suppose 4*o + 348 = 5*m, -146*m - 150 = -148*m - 2*o. What is the greatest common divisor of m and z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6*f**3 - 3 + 3)*(5035 - 3159*f - 5035) to h*f + r*f**3 + z + a*f**4 + w*f**2 and give a.\nAnswer: -18954","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12038 divided by -159.\nAnswer: 12038\/159","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 402 + -427. What is the hundreds digit of u\/20*1872\/(-6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 740*j**2 - 164*j - 328. Does 21 divide o(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbvbvvbbbbbbbbbbbb. What is prob of sequence bvv?\nAnswer: 5\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-r + r + 2*r)*(-3 + 3 - 2)*(4*r**3 + 2*r**3 + 0*r**3).\nAnswer: -24*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -28347 + 58682. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17951 is divided by 1492.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:34 PM and 5:49 PM?\nAnswer: 315","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 3*a + 20 = -88, 0 = -3*c + 3*a + 66. Let w(h) = 6*h - c - 3*h + 2*h. Let q be w(5). Solve -q*p = -0*p - 16 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-19*k**2 - 14*k**2 - 6*k**2)*(-3*k + 0 + 0) as z*k + j + p*k**2 + c*k**3 and give c.\nAnswer: 117","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the second derivative of -q**3\/6 - 3*q**2\/2 - 2*q. Let s be i(-5). Differentiate 5*p**3 + s*p**3 - 4 + 1 - 2 wrt p.\nAnswer: 21*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 565851 and 1183143.\nAnswer: 13014573","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0 from 41694408.\nAnswer: 41694408","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1782 = -514*h + 606*h + 518 for h.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = 4*w - 17, -c + w = -7 - 0. Suppose -3*k + 3 = -3, k = -c*r - 23. Suppose z + 6 = 5*m, 4*z + 0 = -3*m - 1. Put 0.3, r, z in descending order.\nAnswer: 0.3, z, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 18877 to the nearest integer?\nAnswer: 137","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -14*b**3 - 18*b**2 - 3*b + 558. Let z(h) = 5*h**3 + 6*h**2 + h - 197. Let q(g) = 6*y(g) + 17*z(g). Give q(5).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -n**2 - 16*n - 1. Let a(w) = -w**2 + 8*w - 4. Let p be a(9). Let l be j(p). Let z = -25 + l. List the prime factors of z.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -3\/562 (b) -4 (c) 1 (d) 0 (e) -1\/8 (f) 0.3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 6*k + 41. Calculate c(-8).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 53 divide 2003?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 100 divide 502488906?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -60, -62, -66, -72?\nAnswer: -80","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 14 - 11. Suppose -11*j + 7*j - 40 = r, 0 = -i*r - 12. Put j, 4, -1, 0 in descending order.\nAnswer: 4, 0, -1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 85945, 85942, 85939, 85936, 85933, 85930?\nAnswer: 85927","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -19727 or -19736?\nAnswer: -19736","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*h - 66 + 9 = 0 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 192.613 rounded to the nearest integer?\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*t = 58 + 70 - 48 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that 8*o**5\/7 + 139*o**4\/7 + 321*o**3\/7 - 433*o**2\/7 - 1313*o\/7 - 690\/7 = 0.\nAnswer: -115\/8, -3, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -z**2. Suppose 5*c - 15 = 40. Suppose -3*n = a - c, 2*n = 5*a + 1 - 5. Let w(b) = 3*b - n*b**2 - 3*b. Determine j(w(h)).\nAnswer: -9*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 2*m - 31 = 0, 3*n + 7 = 2*n - 4*m. Suppose -17*o - 15*o - 224 = -34*o. Suppose -6*d + d = -3*j + 376, n*d = j - o. List the prime factors of j.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - 0) + -3 + (-6 - -8).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 469069 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 23452 and 103532.\nAnswer: 572","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*y**5 + 0 + 0 + (1 - 1 + 1)*(-3*y**3 + 3*y**3 + y**5) + 4*y**5 + 0*y**5 - 19*y**5 + y**5 + 2*y + 7*y**5 - 3*y**5.\nAnswer: -11*y**5 + 2*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5830 + -5824. Solve -2*f = 281*b - 282*b + x, 4*f + 12 = 4*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 17 - 20. What is the closest to 0.1 in 0, -3\/2, p?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1352 - 8*p - 5*p**2 + 17*p**2 - 8*p**2 - 1350 + 8*p.\nAnswer: 4*p**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 r when two letters picked without replacement from {w: 1, t: 3, r: 1, l: 1, g: 1}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31 = -13*q + 44. Which is bigger: -3\/34 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -0.34 (b) 0 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 118430103 and 33.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 3\/10 of a micrometer?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.27, 2, 1, -4, 1\/11, 3, -13\/6?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34 + 3*c + 2*c + 0*c**2 - 44*c**2 - 31.\nAnswer: -44*c**2 + 5*c + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -25*p**3 - 19620*p**2.\nAnswer: -5*p**2*(5*p + 3924)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 13259879?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 288241 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1337 from -0.1571662414.\nAnswer: 1336.8428337586","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5922272*q - 2961137*q - 2961133*q.\nAnswer: 2*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48*p = 42*p + 18. Suppose 20 = -2*q + 3*q + 3*n, 5*q = p*n + 10. Let s(j) = -j**3 + 11*j**2 + 4. Let u be s(11). Solve -u + 0 = -r, q = h + r for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 117 a factor of 55107702?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1894549 to the nearest integer?\nAnswer: 1376","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1894582 or -1894580?\nAnswer: -1894580","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x = -4*t + 5, 9*x = 2*t + 4*x - 35 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 10) to base 14\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(550) - sqrt(550))\/(2*sqrt(128)).\nAnswer: -25*sqrt(11)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29 + 25 = -14*k + 11*k + 8*k - 3*d, -7*d - 106 = -5*k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2940720\/7 or 420103?\nAnswer: 2940720\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -1307077.1 rounded to the nearest one hundred thousand?\nAnswer: -1300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-5 + 2 - 4)*(-10*l + 7 - 7) + (4*l + 0*l - 2*l)*(-1 + 3 + 0))*(0*l - 5*l - l) as h*l + f*l**2 + r and give f.\nAnswer: -444","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -t**2. Let x(o) = 70*o**2 - 37*o. Let p(i) = -6*f(i) + x(i). Find the second derivative of p(d) wrt d.\nAnswer: 152","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1981 greater than -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 44094, 44212, 44328, 44442, 44554?\n\"Answer: -q**2 + 121*q + 43974","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -3*q**3 - 4*q**2 - 26*q - 143. Give a(-8).\nAnswer: 1345","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in -100, -12.5, 3.1?\nAnswer: 3.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 502 is divided by 216.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2852 and 1449.\nAnswer: 179676","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12462 - 12410 = 13*r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = r. Let f(g) = -21353*g - 4 + 1 + 21355*g + 2. Give -5*f(l) + 6*q(l).\nAnswer: -4*l + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-5)*c**(-5))\/((c*c\/(c\/(c\/c**(-2\/7)))*c)\/(c*c**3*c)) assuming c is positive.\nAnswer: c**(-58\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 89006*u**3 + 620*u**2 + 60*u wrt u?\nAnswer: 534036","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 45 a factor of 48443?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 64131 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -3843*f + 10. Let v(x) = -1937*x + 4. Let t(i) = -2*d(i) + 5*v(i). Let g(z) = -2*z**2. Calculate g(t(q)).\nAnswer: -7992002*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((sqrt(816) - sqrt(816)*3)\/(sqrt(9)\/sqrt(3)*5))**2.\nAnswer: 1213\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 41 + -48.5. Let m = s + 8.5. Is m at least as big as 2\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0070785 decades in millennia?\nAnswer: 0.000070785","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(65)*-1 + sqrt(65))\/(sqrt(15)\/sqrt(75)).\nAnswer: 10*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 204 minutes after 11:39 AM?\nAnswer: 3:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 209304 is divided by 1066?\nAnswer: 368","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -n**3 + 5*n**2 + 3*n + 18. Calculate the remainder when 60 is divided by q(5).\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -61\/93 and -1\/374499.\nAnswer: 11609469","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 + 19 = 2*c. Let f(n) = -n**3 + 6*n**2 - 5*n + 4. Let h be f(c). Let m = h - -41. What is the greatest common factor of 60 and m?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 3*l - 26. Let t(u) = -2*u + 16. Let m = 210 + -213. Let b(o) = m*x(o) - 5*t(o). Determine b(-12).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -64*w + 41*w**2 + 41*w**2 - 80*w**2 + (-w + 0*w + 9*w)*(3*w - w + w) to the form x*w**2 + v + s*w and give s.\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yyyyyuyyyuyyy. Give prob of sequence yyu.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (112\/336)\/((-4)\/12)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -3*h**2 - 11*h + 8. Let g(k) = -7*k**2 - 23*k + 17. Let m(c) = -2*g(c) + 5*t(c). Let o = 16 - 23. List the prime factors of m(o).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 568526?\nAnswer: 2, 7, 40609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 5*a - 2)*(-1 - 1 + 4)*(5*a**3 + 196*a**4 - 197*a**4 - 2*a**3 - 2*a**2).\nAnswer: 10*a**5 - 30*a**4 + 20*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -101 = 3*k - 284. What is the third derivative of -17*y**2 + 4*y**3 - 19*y - k*y**5 + 12*y + 2*y**4 - 4*y**3 + 0*y**3 wrt y?\nAnswer: -3660*y**2 + 48*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 77 - 73. Suppose h*m = 8*m + 16. Let o(p) = 2*p**2 + 6*p. What is o(m)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -57 - ((-213 - -135) + 125)?\nAnswer: -104","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -125428854 rounded to the nearest one hundred thousand?\nAnswer: -125400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z + 4 = z. Let x(v) = -v**4 - v**3 - v. Let m(g) = g**5 - 7*g**4 - 13*g**3 + 18*g**2 - 14*g. Let q(y) = z*m(y) - 20*x(y). Find b such that q(b) = 0.\nAnswer: -3, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28.354725 microseconds in minutes?\nAnswer: 0.00000047257875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -89*i + 20. Let j(h) = 15*h - 1. Let g(p) = 6*j(p) + u(p). Let l(d) = 1. Give g(f) - 6*l(f).\nAnswer: f + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: ((-170)\/81 - -2)*-4*(-72)\/384\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (8\/(-6))\/((-115)\/1035)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 42 (b) 2 (c) 0.1 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Total of -15 and 106538.9.\nAnswer: 106523.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -7*f**2. Let d(g) = -1330*g. Calculate p(d(y)).\nAnswer: -12382300*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9460 divided by 8272.\nAnswer: -215\/188","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (-283*q - 148*q + 157*q)*(13*q**2 - 2 - 23*q**2 + q + 13*q**2) as w*q**3 + c*q**2 + z*q + x and give z.\nAnswer: 548","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 51*d + 73*d - 125*d - 13*d**4 + 25 - 27 - 41*d**3 + d**2 in the form l*d**2 + u*d + f + s*d**3 + z*d**4 and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 173\/490392 and 11\/3892.\nAnswer: 490392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-471)\/(-4082)*(-1250)\/(-3) - 59\/767\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 73490 and 90.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*s + 1472*s - 719*s.\nAnswer: 773*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 1, o: 1, g: 2, h: 5, q: 1, k: 3}. What is prob of sequence oqwg?\nAnswer: 1\/8580","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -282.6 - -282.3. Put 1\/5, -1\/6, v, -42 in descending order.\nAnswer: 1\/5, -1\/6, v, -42","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -w**3 - 31*w**2 + 68*w + 69. Let u be x(-33). Suppose -4*c + 4 = -u*f - 19, -c = -f - 5. What is the smallest common multiple of c and 10?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 5*(-9)\/((-135)\/6). Suppose -16 = l*x + 4*b, 5*x + 47*b - 15 = 48*b. Solve x*m - 5*a = 39 - 8, m + 2*a = -7 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2240 - -1?\nAnswer: 2241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 1 + 1 + 1 + 5 + (1 + 1 - 1)*(-63 + 152 + 69))*(-6*y + y - 2*y)*(-y - 3*y + 6*y).\nAnswer: -2324*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 21*z**3 - 21*z**3 - z**4 + (28*z**2 - 39 + 39)*(5*z**2 + 2*z**2 - 6*z**2) + z**4 + 5*z**4 - 3*z**4.\nAnswer: 30*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 12, x: 7, h: 1}. Give prob of picking 3 x.\nAnswer: 7\/228","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8506 - 8505.99355. Round f to 3 dps.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -31979\/60 + 533. Let d(u) be the third derivative of g*u**5 + 3*u**2 + 1\/8*u**4 + 0*u**3 + 0*u + 0. What is the second derivative of d(b) wrt b?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 29 + -145. Is d\/(-6) - (-3)\/(-9) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 2 + 7 - (6 + -2).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1698662477?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is x in -4*x**2 + 6340*x = 0?\nAnswer: 0, 1585","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1020 and 8820.\nAnswer: 149940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -122584, -245982, -369382, -492784, -616188, -739594?\nAnswer: -863002","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7 - 5 - v**2 + 5*v + 3*v**2 - 4*v**2 to the form r*v**2 + k*v + q and give k.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 110*u**3*z - 584*u**3 + 2*u**2*z + 33*u**2 + 28*u*z with respect to z.\nAnswer: 110*u**3 + 2*u**2 + 28*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of m**3*x**3 + 23*m**3 + 9*m*x**3 + 2*m*x**2 + 32*x**5 wrt x.\nAnswer: 6*m**3 + 54*m + 1920*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 20 + -15 + (6\/(-9)*-3 - 13). Let q(g) = -g**2 + 5*g - 4 - 3*g**2 + 5*g**2. What is q(y)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 100 equal to 52567\/522?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: What is 2132333 plus -1.37?\nAnswer: 2132331.63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the first derivative of 8*d - 7\/2*d**2 - 1\/3*d**3 + 108. Calculate x(-9).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -2483, -4995, -7507, -10019, -12531, -15043?\n\"Answer: -2512*z + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 4 - 4)*(-2 - 2 + 2)*(2*a + 3*a - 3*a).\nAnswer: -12*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -218*k**2 + 53*k - 18. Let z(y) = y. Calculate z(v(x)).\nAnswer: -218*x**2 + 53*x - 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 613483497?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4263*r + 8747*r - 6227*r + (-1 + 2 + 0)*(-r + 0 + 0).\nAnswer: -1744*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = -3*m. Suppose m*i + 2*i - 79 = -3*l, 5*i + 90 = 4*l. Solve 8*f - 3*f = l for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 19358603?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27 = 9*p, -4*h - 1954*p - 2 = -1951*p - 11 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -y - 2*y - 15, -2*y = -5*k + 5. Let x = -5 + k. Let r(l) = -13*l - 7. List the prime factors of r(x).\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 23*v - 20. Let b(m) = -14*m + 11. Let j(x) = -5*b(x) - 3*l(x). Determine j(-18).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -24.41, -1, -4, -0.1, 1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/63 in 5, 2\/78855, 0.4?\nAnswer: 2\/78855","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 5*t + 590100020 = 0, -4*t + 484126822 + 991123194 = 5*i. Round i to the nearest 1000000.\nAnswer: 295000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the first derivative of 0*m + 0*m**2 - 4\/3*m**3 + 1\/2*m**4 + 3. Factor h(t).\nAnswer: 2*t**2*(t - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13153103791 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6122*r + 6077*r = -2250. What is the greatest common divisor of r and 320?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -87 (b) -2\/17 (c) 0.3 (d) -2\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1286 - -0.5.\nAnswer: 0.6286","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ukuz when four letters picked without replacement from zzkuzzuzkkuu?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -93 + 52 - (1 + -25)\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 15*o - 5. Let g be p(5). Let v = 68 + 26. Let w = v - g. What is the least common multiple of 15 and w?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11856 is divided by 11833.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42 = 6*p + 3*n - 4*n, 0 = 3*p + 5*n - 21. What is the highest common divisor of p and 56?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15277?\nAnswer: 15277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2041*k**3 + 466*k**3 + 53394*k**2 - 53394*k**2 - 636*k**3 - 460*k**3.\nAnswer: -2671*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8763821, 8763837, 8763853, 8763869?\nAnswer: 8763885","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) be the first derivative of 87\/10*h**5 + 95 + 9\/4*h**6 + 99\/8*h**4 + 15\/2*h**3 + 0*h + 3\/2*h**2. Suppose q(k) = 0. What is k?\nAnswer: -1, -2\/9, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*o - 60 = 85 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 11\/2 or 0.055?\nAnswer: 0.055","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a century in years?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 26 - 63291?\nAnswer: -63266","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -3*m**2 + 1. Let d(f) = -15*f + 163. Let s be d(11). Let l(h) = -h**3 + 2*h**2 - 1. Determine s*l(r) - 3*z(r).\nAnswer: 2*r**3 + 5*r**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 213345 to the nearest integer?\nAnswer: 462","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 408 minutes after 6:03 AM?\nAnswer: 12:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*v**4\/3 - 16264*v**3\/3 - 14699040*v**2 - 39893151200*v\/3 - 79610044000\/3.\nAnswer: -2*(v + 2)*(v + 2710)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 830100 + 156?\nAnswer: 830256","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 62 + -7 + (-4 - -8) is divided by 34.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5014381 to the power of 1\/7, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -b + 2. Let v be c(0). Suppose 45*o - 157 = 23. Calculate the greatest common divisor of v and o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2037070916?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10184654*-0.3.\nAnswer: -3055396.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/(y**4\/y)*y)\/y**(-6))**(21\/4) assuming y is positive.\nAnswer: y**(105\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 700008*d - 32. Let c be b(4). Round c to the nearest 1000000.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 298*x**2 + 55 + 43*x + 1388*x**2 + 1252*x**2 wrt x.\nAnswer: 5876","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w\/((w\/w**(-10)*w)\/w)*w*w*w\/(w\/(w\/(w\/(w\/w**(-6)))))*w)\/(w**(-9)\/w**(-5)) assuming w is positive.\nAnswer: w**5","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1645582.6 rounded to the nearest ten thousand?\nAnswer: 1650000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -408275, -816597, -1224969, -1633397, -2041887, -2450445, -2859077, -3267789?\n\"Answer: -n**3 - 19*n**2 - 408258*n + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + o + 0*o = -63, w + 4*o = 54. Suppose 5*s - 2*q - w - 3 = 0, 5*s - q = 36. Let g(b) = 0 - 9 - 251*b + 252*b. Give g(s).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4190 = 5*o - 2*m, -25*o + 28*o - m = -2515. Calculate the lowest common multiple of 35*(o\/875)\/((-4)\/10) and 66.\nAnswer: 924","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 7755521?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 426676 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, 1\/3, -1, 2\/11 in ascending order.\nAnswer: -1, -0.3, 2\/11, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (170\/340)\/(2\/(-30)*(-75)\/(-100))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 9669 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/7*i**2 + 2\/7*i + 2\/7*i**4 - 2\/7*i**3 + 0.\nAnswer: 2*i*(i - 1)**2*(i + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwuujjiwijwww. What is prob of picking 1 j and 1 u?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -58*h - 9. Let s(k) = -29*k - 4. Let o(g) = -2*a(g) + 5*s(g). List the prime factors of o(-1).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.84041 rounded to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + -15 + 25 + -4.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*i + 737*i**2 - 954367 + 954367 to o*i**2 + b*i + s and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b + v = 8, 3*b + 5*v - 2*v = 18 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (61 - 61 - 3*d)*(4*d**2 + 0*d**2 - 3*d**2 + 12) in the form i*d**3 + w + m*d**2 + u*d and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = 5*p - 978 - 1983, 3*v + 3*p = 2223. What is the hundreds digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-k + k + k)*(790*k - 74 - 75 - 794*k + 3*k**2).\nAnswer: 3*k**3 - 4*k**2 - 149*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1b1 + -3?\nAnswer: 1ac","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1469574 is divided by 41980.\nAnswer: 274","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, d: 3}. What is prob of sequence xd?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 14441 + -14432. Put -4, 0.069, y in ascending order.\nAnswer: -4, 0.069, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 16) in base 11?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -18*a. Let d(b) = 91*b. Let w = 699 + -704. Determine w*d(g) - 26*x(g).\nAnswer: 13*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 9 - ((-3)\/12 - (-7 + 133\/(-4)))\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-6*(sqrt(57)\/sqrt(3) + sqrt(19)) + -5).\nAnswer: 5 + 12*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - 10542377.\nAnswer: -10542376","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -99*c = -98*c - 3. What is the units digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ffi when three letters picked without replacement from fxiviiibnbfiii.\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 36 and 45.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -7*w - 1. Let u(o) = -490*o + 12. What is 10*q(n) + u(n)?\nAnswer: -560*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 25800\/17 at most as big as 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.37904 hours to nanoseconds.\nAnswer: 22964544000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -x + 19. Calculate the remainder when 18 is divided by c(8).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 444\/333 - ((-1)\/(-2))\/(6\/(-810212)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 8357498 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (2\/13)\/(-2 + 1). Let r = 0.15 - 2.15. What is the closest to -1\/4 in g, r, -3\/4?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -25.75 - -25.95. Sort -0.5, d, 0.0611 in descending order.\nAnswer: d, 0.0611, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w - 24 = -4*r, 27*w - 10 = -5*r + 22*w for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/10 + 448\/35. Let x = o - 12. Solve -2 = -b - x for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 - (-10 + 4 + 18) - 22.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 85\/(10200\/(-9))*(-3 + (8\/12 - -3))?\nAnswer: -1\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 206977 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Product of 182.84 and 0.34283.\nAnswer: 62.6830372","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 10096*1 + (-14)\/21*(-63)\/(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -9279\/46370 + 1\/9274. What is the nearest to 0 in w, 0.8, -0.5, -8\/5?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -660226, -660223, -660220, -660217, -660214?\nAnswer: -660211","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 6242138?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(170)*-1)\/sqrt(10) - (sqrt(833) - -1*sqrt(833)))**2 + -5 - (0 + 1 + 2 + sqrt(17) + 4).\nAnswer: -sqrt(17) + 3813","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: ((-5)\/3*22*36\/3960)\/(-9)\nAnswer: 1\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 80239 is divided by 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 42001 is divided by 117?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 10 - 4. What is the least common multiple of 14 and s?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3656932.\nAnswer: 2, 37, 24709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 < -160?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -2*b + 6*b - 3*b. Let q(i) = -i**2 - i + 1. Let v be q(0). Let z(t) = -t + v - 1. Calculate z(w(d)).\nAnswer: -d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 4*j**2 - 9*j - 32. Let b(n) = n**2 - 2*n - 8. Let k(z) = -9*b(z) + 2*t(z). Determine k(0).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 1, f: 11}. Give prob of sequence lff.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2\/23 (b) 3\/8 (c) -2\/11 (d) -17 (e) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 + 5 = -5*l. Suppose z - 27 = -l*x + 4*z, 0 = -5*x - 5*z - 5. Solve -5*g + 28 = q - 0*q, 3*g - x = 4*q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 23*u + 1. Let m(j) be the second derivative of -7*j**4\/24 - 41*j**2 + 4*j + 18. Let i(z) be the first derivative of m(z). What is i(r(k))?\nAnswer: -161*k - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 0, -3\/16, -5, -0.3?\nAnswer: -3\/16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.08 times -7875.92?\nAnswer: 630.0736","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*l + 127 = 4250. What is the tens digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -15132 or -15126?\nAnswer: -15126","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out -13.520470865 + -1577.\nAnswer: -1590.520470865","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = 8 + 22. Let q(a) = 9*a + 47. Let j(x) = -10*x - 47. Let u(t) = r*q(t) + 5*j(t). Calculate the remainder when 39 is divided by u(-9).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.7 + -0.4. Let p = 0.00649 + 0.39351. Which is the closest to 0? (a) p (b) o (c) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 249 + -132. What is the highest common factor of 26 and c?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p + 8 + 5 = 5*i, p = 5*i - 3 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*c - 4*c - 2*c)*(-4 + 2*c + 4 + 0 + 2*c + 0 + (-5 + 4 + 0)*(-c - 3*c + 2*c)).\nAnswer: 6*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 754*j + 2152*j - 171072 = 233*j for j.\nAnswer: 64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) be the second derivative of y**4\/12 - 5*y**3\/6 + 5*y**2\/2 - 2*y. Suppose d = 4*f - 13, 4*f - 4*d - 8 = -f. Calculate b(f).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 20932*0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*n**3 + 3440*n + 41907 wrt n.\nAnswer: -6*n**2 + 3440","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 35.78 - -0.42. Let v = p + -54.3. Let a = 19 + v. What is a rounded to one decimal place?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1872) - -4*(sqrt(1872) - (sqrt(1872) + 0)) - (sqrt(1872) + (sqrt(1872) - sqrt(1872)*-2*-2 - sqrt(1872))))**2*-4.\nAnswer: -119808","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 2314*f - 56. Let s(m) = -2314*m + 74. Calculate 4*o(b) + 3*s(b).\nAnswer: 2314*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n**(-3))**(-2\/133) assuming n is positive.\nAnswer: n**(4\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 533 (base 7) in base 10?\nAnswer: 269","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:55 PM and 9:56 PM?\nAnswer: 421","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pxxxpfxeexpgxepgne. Give prob of picking 1 g, 1 n, and 2 p.\nAnswer: 1\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*z**3 - 3 + 0*z**3 + 2*z**3 + 1975*z**2 - 5 + 7 to j*z**3 + n*z + w*z**2 + r and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 642418528 to the nearest integer?\nAnswer: 863","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26256 is divided by 4271.\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 54283.61 - 53991. Let c = u - 293. What is the third biggest value in 0.4, 0, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 63842175 to the power of 1\/6, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.9? (a) 4 (b) 3\/11 (c) 0.4 (d) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 311 is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -13136, -21608, -30090, -38588, -47108, -55656, -64238, -72860?\nAnswer: -81528","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -301 (base 7) to base 11.\nAnswer: -125","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 324*m - 297*m = 482787. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mqsmvqqoqmvsoqqsmq. Give prob of picking 1 q and 1 v.\nAnswer: 14\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 5*l - 6 = 0. Put -2, 3, l in descending order.\nAnswer: 3, l, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) -23480 (b) 3\/4 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 10 + -216?\nAnswer: -206","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*u**2 - 2*u**2 - 2*u**2)*((-4 + 4 + 1)*(1 - 3 + 3) + 0 + 1 + 1) in the form g*u + c + k*u**2 and give k.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(153) + (sqrt(153)*2 - sqrt(153)) + 5)*5 + -4 - 3*(-1*sqrt(153)*6 - sqrt(153))*2)**2.\nAnswer: 6552*sqrt(17) + 414153","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:51 AM and 1:31 PM?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-10)*(((i*((i*i*(i**(-2\/13)*i)\/i*i*i)\/i)\/i*i*i)\/i)\/i)\/i)\/(i**10\/i**(-4)) assuming i is positive.\nAnswer: i**(-288\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -166307 - -166311. Factor -12*p**2 - 5*p**k - 1\/2*p**5 + 0 + 0*p - 14*p**3.\nAnswer: -p**2*(p + 2)**2*(p + 6)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -6*k + 57. Suppose 0 = -45*l + 43*l - 14. Does 4 divide w(l)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 695 - 682. Solve i*n = 5*n - 32 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 6 = 2*y + 7, -y = -2*k + 2. Let t be 3\/k + (3 + 7 - 6). Solve -6*q - 4 = -t*q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 263766048 to the power of 1\/5, to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1431 = 161*o - 179. Let h(q) = 10*q + q + q**3 - 11*q**2 + 0*q**3. What is h(o)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -211*d + 46 - 623 = -6274 for d.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -24, -3, 6 in decreasing order.\nAnswer: 6, 4, -3, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*t + 14*t - 4. Suppose 3*f - 17 + t = 0, -2*u = 3*f - 69. Let m = u - 25. What are the prime factors of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 195*f - 1887 = 193*f, -4*q + 2*f = -7518. What is the highest common factor of 11 and q?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12541 = -33*s + 14818. Solve -4*c = -5*l - s + 49, 3*l + 25 = 5*c for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 42643?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 6\/(-14)*1\/3*1\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange r**2 + r**2 - 17*r**2 to the form t*r + b*r**2 + f and give b.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 5399?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1172 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -35\/12 and 113\/(-24) - ((-18)\/(-8) + -2)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -1162465 and 1329718?\nAnswer: 2492183","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 143 - 127.6. Let g = -0.1 - 12.9. Let c = l + g. Round c to zero decimal places.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1858 or 378?\nAnswer: 1858","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -298 - 14 = 2*s. Let g be 2\/6 + 28\/s. What is the nearest to -0.1 in 4, g, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3*(114 - 113)\/((-3 - -5) + -5)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2261, -5\/4, -3, 2 in decreasing order.\nAnswer: 2, -5\/4, -3, -2261","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 61\/35 and (5\/(100\/(-45)))\/((-40)\/(-44)).\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 4*v - 8 = 0, -3*v + 4 = 2*k - 5. Suppose 4*g - 68 = -3*z + 745, -3 = k*z. Is g*(10\/3 - 3) a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 2*k**2 + 33*k. Let g(z) = -z**2 - 16*z. What is -7*g(i) - 3*r(i)?\nAnswer: i**2 + 13*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 46701?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -31416 divided by 238?\nAnswer: -132","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -7728, 3, -5, 5 in descending order.\nAnswer: 5, 3, -5, -7728","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 47478?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k\/(k**(-3\/5)\/k*k)*k\/(k**(-1\/2)\/k))**(-24\/13)\/((k**7*(k*k**(-1\/7)*k*k)\/k)\/(k\/(k\/k**(1\/3)))**35) assuming k is positive.\nAnswer: k**(-9017\/1365)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the second derivative of 3*x**4\/2 - 70*x**3\/3 - 16*x**2 + 5*x + 8. Determine u so that w(u) = 0.\nAnswer: -2\/9, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -51.828788 times 0.4\nAnswer: -20.7315152","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = 28 - 32. Suppose 3*i = 4 + 2. Differentiate 6*v**o + 12*v + i - 12*v wrt v.\nAnswer: 24*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 179383 is divided by 89677.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4781, -9562, -14343, -19124, -23905, -28686?\nAnswer: -33467","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kn when two letters picked without replacement from {n: 3, k: 3, e: 1, p: 4, w: 8}.\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4509*p**2 + 1466*p**2 + 1454*p**2 + p + 1529*p**2.\nAnswer: -60*p**2 + p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/(-4)*0 + 4. Suppose 0*q - 2*q - y - 2 = 0, 3*q - 3 = -3*y. Let w = -2 - q. Solve -5*z = 5*v, -v - c*z - 5 = w for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2*34)\/(-2) - 1. Let d be ((-14)\/t)\/((-8)\/30). Which is the closest to -1? (a) d (b) 4 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3558 and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -5 from 145684424.\nAnswer: 145684429","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 563 + -489. Put 0.5, -0.2, k, 2 in descending order.\nAnswer: k, 2, 0.5, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*q + 9 - 6 + 0 - 3.\nAnswer: 3*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 2*m**2 + 48*m - 1. Let s be t(-24). Which is the nearest to 1? (a) 0.5 (b) -202 (c) -0.2 (d) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 32, 64, 106, 152, 196, 232, 254?\nAnswer: 256","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*a + 4*a. Suppose -2*c - 2 - 2 = a. Let n(q) = -2*q**3 + 2*q - 1. What are the prime factors of n(c)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is d21 (base 15) in base 10?\nAnswer: 2956","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 427 and 61.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2 - -2. Suppose d*c - 18 = -2*c + 3*t, 3*c + 3*t = -3. Suppose -g = -c*g + 14. List the prime factors of g.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rb when two letters picked without replacement from qbrqqrqqqrrqq.\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-7)*i)\/(i**(-2\/5)\/i))\/(i**(1\/5))**35 assuming i is positive.\nAnswer: i**(-58\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -60621, -60619, -60617?\n\"Answer: 2*j - 60623","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = 3*d - 23 - 4, 4*w + 5*d = -63. Let v be (w\/5)\/((-9)\/30). Suppose 2*a = 3*a - v. List the prime factors of a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 5\/(3*-1*1). Suppose -4*u = -10 - 2. Suppose 0 = 7*c - 2*c - 3*t + 30, 4*t - 11 = -u*c. Which is smaller: n or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -8447 - -12393. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 35600 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -73650 by 10.\nAnswer: -7365","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 308425109 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -5372175.4 to the nearest 1000000.\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 23084, 23077, 23066, 23051, 23032?\nAnswer: 23009","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*p**2\/7 + 30790*p\/7 + 92352\/7.\nAnswer: 2*(p + 3)*(p + 15392)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zzz when three letters picked without replacement from {u: 7, h: 5, z: 4, t: 2}.\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1484609023 to the nearest integer?\nAnswer: 38531","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34562561*n + 17281175*n + 17281200*n.\nAnswer: -186*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) be the third derivative of 0*b**4 + 8\/5*b**5 + 2*b + 10\/3*b**3 + 12*b**2 + 0. Find the first derivative of w(l) wrt l.\nAnswer: 192*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*o**3 + 146973*o**2 - 1800162045*o + 1800015075.\nAnswer: -3*(o - 24495)**2*(o - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -38\/2649 and 23\/18.\nAnswer: 15894","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 102 - -333304?\nAnswer: 333411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 16 + -16. Let i = -2 + 3. What is the closest to 2\/7 in 1\/4, i, b?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 0, 2, -690, 13 in increasing order.\nAnswer: -690, -2, 0, 2, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/5, -3, -384, 340\/11, 3 in descending order.\nAnswer: 340\/11, 3, -1\/5, -3, -384","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**0\/y)\/((y**(-3\/2)*y)\/y))**(-1\/22) assuming y is positive.\nAnswer: y**(-1\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 37 + -24. What are the prime factors of k?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 4*u + 467. Is j(-85) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 135 and 2055?\nAnswer: 18495","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*v**3 - 10*v + 10*v)*(4 - 30 + 17)*(-v - 2*v + 2*v).\nAnswer: 72*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:28 AM and 10:53 PM?\nAnswer: 685","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 2 w when three letters picked without replacement from {b: 12, l: 3, w: 2}?\nAnswer: 3\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1336.\nAnswer: 2, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 256059743?\nAnswer: 256059743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 80037271 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -0.007 - 378.1\nAnswer: -378.107","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -d - 6. Let r be p(-11). Suppose -4*z - w = -r*w - 816, -15 = -3*w. What is the greatest common factor of 19 and z?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 5 (b) 1\/290 (c) 4 (d) -4 (e) 19\/4 (f) 1 (g) -1\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j when two letters picked without replacement from jjjqjjjj?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -x**2 - 46206724*x + 46206725.\nAnswer: -(x - 1)*(x + 46206725)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8)\/352)\/(12\/(-6000)*-25).\nAnswer: -5\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/3 (b) 11 (c) 0.07 (d) 0.4 (e) -6 (f) -1\/106 (g) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 58 + 103 - 2561*q**3 + 2553*q**3.\nAnswer: -8*q**3 + 161","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 485 minutes after 4:27 AM?\nAnswer: 12:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, 0, -3, 5 in increasing order.\nAnswer: -3, 0, 0.2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z**5\/4 - 44*z**4 - 619*z**3\/4 + 59*z**2 + 639*z + 468 = 0.\nAnswer: -156\/5, -3, -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.23699265 to 4 decimal places.\nAnswer: -0.237","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 1\/10, -4, 2\/7, -1?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0771 rounded to three decimal places?\nAnswer: -0.077","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 4, -1\/5, -2\/3, -3\/671?\nAnswer: -3\/671","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*-3*-4*(-5 + 3 + sqrt(18) + (1*sqrt(14))\/sqrt(7)).\nAnswer: -96*sqrt(2) + 48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the first derivative of -16*z**2 - 155*z - 17. Is 15 a factor of v(-17)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the first derivative of -4*u - 1\/6*u**3 + 0*u**2 - 2 + 1\/6*u**4. Let n(o) be the first derivative of z(o). Give n(-1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 874*i + 5 - 12 + 0 + 7 to the form g + z*i and give z.\nAnswer: 874","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 35, 30, -2, -97, 14, 0, 3 in decreasing order.\nAnswer: 35, 30, 14, 3, 0, -2, -97","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g**(1\/15)*g*g)\/g)\/(g*g**(-2\/43)\/g*g) assuming g is positive.\nAnswer: g**(718\/645)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1 + 3. Suppose 0 = 3*w + h*q - 32, 2*w + q = 3*q + 28. What is the units digit of 28\/(-2)*w\/(-14)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.0492 + -0.14.\nAnswer: -0.1892","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21\/5 + 3*l**2 - 3\/5*l**3 + 39\/5*l = 0 for l.\nAnswer: -1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 3 + 6*v**2 + 3*v**2 - 10*v**2 - 6*v. Let j be f(-7). Let k(l) = l**3 + 5*l**2 + 3*l + 9. Let o be k(j). Solve 3*x + o = -2 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 773*r**6 - r**4 - 123*r**2 + 3 wrt r?\nAnswer: 92760*r**3 - 24*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00024099 rounded to 6 decimal places?\nAnswer: -0.000241","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -1127161, -1127259, -1127369, -1127497, -1127649?\n\"Answer: -h**3 - 91*h - 1127069","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 2330?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22071.627ns to hours.\nAnswer: 0.0000000061310075","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -o**3 - 21*o**2 - 24*o - 68. Give f(-20).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*j - 21 = 3*y + 17*j, -2*y = -12*j - 176 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-414)\/(-27))\/(((-5)\/(-3))\/((-60)\/24)).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 473 minutes after 2:53 AM?\nAnswer: 10:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.52 - -0.02. Let v = -60026 + 60025.6. Which is the closest to v? (a) -5 (b) 6 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 7, d: 5, n: 7}. What is prob of sequence on?\nAnswer: 49\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1335\/7 - -191. Which is the fourth smallest value? (a) -4 (b) i (c) 3\/5 (d) 5\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhhllfhhflhh. Give prob of picking 2 l.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11120211 + -11?\nAnswer: 11120200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 789 - 772. Which is the nearest to -2\/7? (a) -2\/11 (b) 1 (c) 0.3 (d) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -5*k**2 + 2*k - 10. Let m(w) = -6*w**2 + 3*w - 11. Let g(x) = 7*h(x) - 6*m(x). Let p(r) = 1 - r - 4 + 2. Determine -g(n) + 4*p(n).\nAnswer: -n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -847 by -6.\nAnswer: 847\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 4507 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v**2 + 85*v + 166 = 0. What is v?\nAnswer: -83, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 606393960?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6841393 is divided by 561.\nAnswer: 559","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3030, 3038, 3042, 3042, 3038, 3030, 3018?\nAnswer: 3002","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 4*b - 9*b - 5*b)*(-2 + 11 + 22) + b - 2*b - b - 2*b + 0*b + b - 2*b + 2*b + 2*b + (3*b - b - 4*b)*(1 - 4 + 2) + 0*b - 2*b + 0*b + 0*b - 8*b + 7*b.\nAnswer: -312*b - 31","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 85061.\nAnswer: 85061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:00 PM and 5:26 PM?\nAnswer: 266","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 25\/6 + -4. Let p = -0.11 - 4.89. What is the nearest to -1 in x, p, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n - 5*o = -10, -395*o - 11 = 3*n - 397*o for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -8 (base 10) to base 2\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -175, -174, -91, 122, 513, 1130?\n\"Answer: 8*w**3 - 7*w**2 - 34*w - 142","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:52 PM and 4:30 AM?\nAnswer: 398","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 21380 + 50994 = 0. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-1)\/(-6))\/(6\/(-8)). Let m = 4 + -2. Which is the second smallest value? (a) g (b) -11 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 33\/31 (b) -1\/3 (c) -4 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -17, -6, 27, 94, 207, 378, 619, 942?\n\"Answer: 2*s**3 - s**2 - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Are -0.2 and 379384 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (599\/5990)\/(1044\/120)\nAnswer: 1\/87","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -213*h**2 - 3 - 1 - 2 + 3 + 42*h.\nAnswer: -213*h**2 + 42*h - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:59 AM and 3:01 PM?\nAnswer: 662","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/11, 5\/4, -3\/41, -35, -4, -9.9?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 3\/2 (b) 1 (c) 5 (d) 91\/68 (e) 1\/39 (f) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: What is -1310 (base 5) in base 2?\nAnswer: -11001101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = -2*b + 12, 6*i = i - b - 60. Let m = 31 - i. What is the remainder when m is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwwwwwwe. Give prob of picking 3 w.\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -o**3 + 18*o**2 + o - 255. Calculate x(17).\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 + 39094.85347.\nAnswer: 39092.85347","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 4226 to the power of 1\/2, to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t = -8 + 16 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*n**3 + n**3 - 2*n**3)*((n - 2*n + 2*n)*(-2*n + n - n) - 12*n**2 - 10*n**2 + 8*n**2).\nAnswer: -32*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -2*r - 6. Let l be v(-4). Let n be ((-2)\/6)\/(l\/6). Let c be (n - -1)*1 - 0. Is -1 at most as big as c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1109 - 729. What are the prime factors of l?\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, 5, -9, -1, 2 in increasing order.\nAnswer: -9, -1, 2, 5, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 2, m: 4, j: 2, d: 7, l: 5}. Give prob of sequence dm.\nAnswer: 7\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) be the first derivative of 6 + 0*i - 3\/2*i**2. Let s(o) = 5*o. Let u(k) = -15*k. Let a(j) = -11*s(j) - 4*u(j). What is a(x(y))?\nAnswer: -15*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -p**2 - p - 1. Let q(k) = -8*k**2 - 6*k - 6. Let l(r) = q(r) - 6*z(r). Let w(c) be the second derivative of 2*c**4 - 5*c. Give w(l(t)).\nAnswer: 96*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (4\/(-18))\/(146\/(-292))\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -3*r**2 + 8*r + 24. What is w(6)?\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -142, -796, -1884, -3406, -5362, -7752?\nAnswer: -10576","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 901303934?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -21*u**2 - 6*u**2 + u**2 - u**2 as n*u + r + g*u**2 and give g.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = 4*b - 4*m - 151, b + 5*m = 19. What is the remainder when b is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2.0738 + -2.07403403. What is o rounded to six dps?\nAnswer: -0.000234","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.3162785 and -5242630.\nAnswer: -5242630.3162785","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1567849 or 1567851?\nAnswer: 1567849","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 67*a + a**2 - 1 - 14*a**2 + 78*a - 5*a**2 + 21*a**2 as u*a + f*a**2 + l and give f.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2 + 1 - 4\/(-2). Suppose f*s - 24 = -4. Suppose -21 = -3*c + s*v + 8, c = -5*v - 22. What is the units digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4280 - 4347) + -3 + 0.\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 217, 426, 633, 838, 1041?\n\"Answer: -n**2 + 212*n + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 7*x + 30 = 0. Let g(h) = -h - 7. Let q be g(x). Let t be -1*-8*4*q. What is t rounded to the nearest ten?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 21*s**3 + 9*s**2 + 11*s + 11. Let c(u) = -4*u**3 - 2*u**2 - 2*u - 2. Let j(i) = 11*c(i) + 2*t(i). What is the third derivative of j(n) wrt n?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1206214 (base 7) to base 2.\nAnswer: -100101011101010110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (62\/6)\/(1*((-45)\/(-54))\/(85\/(-34))).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zzyz when four letters picked without replacement from {z: 7, y: 1, i: 1, j: 4}.\nAnswer: 7\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2.7 - 0.2126100063947.\nAnswer: -2.9126100063947","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 15594 and 10961?\nAnswer: 1512618","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c\/c**(-17)*c)\/c*c)\/(c*c**7) assuming c is positive.\nAnswer: c**12","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*p**3 - 3*p**3 - p**4 + (-4*p**2 + p**2 - p**2)*((0*p + 2*p + 0*p)*(-3 - p + 3) - 2*p**2 + 3*p**2 - 3*p**2 + 221 - 49*p**2 - 221).\nAnswer: 211*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44 = -5*i + 3*c, -c + 6*c = -3*i + 6. Let r(t) = 2*t - 6. Calculate r(i).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -p + 1. Let f be t(-4). Let j = 579 - 711. Let n = 134 + j. Solve 0 = -n*r - g - 3, -f*g = -r - 19 + 1 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 55.6 - 56. Let c = 115\/2 + -56. Suppose -6*j + 3*j = 0. Sort j, c, d.\nAnswer: d, j, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -893 - -879 - (6 + 1).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 4+78276.07\nAnswer: 78280.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor m**3 + 96*m**2 - 400*m.\nAnswer: m*(m - 4)*(m + 100)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -v**3 - 7*v**2 + 5*v - 6. Determine p(-8).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 + 40 + (-300 - -324)?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 3*f = 33183 - 11683, -2*f = 5*s - 26868. Does 17 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vfvwxw. What is prob of sequence wvf?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 630845, 1261550, 1892241, 2522912, 3153557, 3784170?\n\"Answer: -x**3 - x**2 + 630715*x + 132","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*l + 4*q + 8, -4*l - l + 25 = 5*q for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -a**2 - 40*a + 742. Give o(16).\nAnswer: -154","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 9 * -0.06306\nAnswer: -0.56754","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -4, 1897833, 13.\nAnswer: -4, 0, 13, 1897833","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k**4\/k)\/(k**(1\/20)\/k))**(4\/13) assuming k is positive.\nAnswer: k**(99\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*s + 9*s + 8*s + 4*s.\nAnswer: 16*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*-6*(0 + sqrt(242) + 4)**2.\nAnswer: -9288 - 3168*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (472\/3304)\/(58\/28).\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2*(3 - (-1341)\/6). Suppose -5*r + o = 2*v, 3*r - 203 - 69 = -v. What are the prime factors of r?\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2229486 is divided by 31?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -104 or -25033?\nAnswer: -25033","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*l**4\/8 + 19181*l**3\/2 - 99775*l**2\/2.\nAnswer: l**2*(l + 15350)*(5*l - 26)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1049815.\nAnswer: 5, 13, 31, 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/6? (a) 2 (b) -1 (c) -230 (d) -3\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.307592 times 2?\nAnswer: -8.615184","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 - (1 + -7 + 11 - (-10 + -15))?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - (9 + -1 + 0).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 4*s + 1. Let r be k(0). Let l be ((9 - r) + 2)\/2 - 0. Solve -30 = -l*f - 10 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = -5*l. Differentiate -2 + 5 - 4*y**4 + l with respect to y.\nAnswer: -16*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 21585716*q**5*z + 5147*q*z + 4*z + 35 wrt q?\nAnswer: 431714320*q**3*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -416 (base 12) to base 3\nAnswer: -211000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) be the second derivative of 38\/15*s**6 + 117\/2*s**2 - s + 4 + 0*s**3 + 0*s**4 + 0*s**5. What is the first derivative of j(o) wrt o?\nAnswer: 304*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1506067454?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 187*s - 112324 + 120926 for s.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 491637767?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -q**2 + 9*q - 1. Let u be 2 + (4 - 2\/2). Let x be i(u). Let n = -11 + x. What is the units digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -40 - -18. Are -21 and n non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -34 by 19.\nAnswer: -34\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 52 divide 5148?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 r when four letters picked without replacement from {r: 10}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 23*m**3 - 11*m**2 + 13*m. Let i(u) = -11*u**3 + 6*u**2 - 7*u. Let s(c) = 11*i(c) + 6*y(c). What are the prime factors of s(1)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gggggvgggvvgvg. Give prob of sequence vvvv.\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 41815\/(-10) + 15\/10. Round l to the nearest one thousand.\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -115 - -433. What is the units digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4617?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4009 - -11980. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 375783979 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 46486 to the power of 1\/3, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -557 divided by 63?\nAnswer: -557\/63","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 150\/(-90)*(-6171)\/(-187)?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 11442131 and 23157?\nAnswer: 102979179","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 166884553?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -10783\/3 - -226045\/63. Let z = -45\/7 - m. What is the nearest to -1 in z, -1\/3, 0.3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 301*h**2 + 3*h + 17.\nAnswer: 602","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 112000000 rounded to the nearest one million?\nAnswer: 112000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 13*o + 6 + 11 - 2 + o**2. Let k = -9 + -3. Let t be h(k). Let i(n) = n - 2. Let x(u) = 3*u - 6. Determine t*x(q) - 8*i(q).\nAnswer: q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 8, 2, -2, -65, -12.\nAnswer: -65, -12, -4, -2, 2, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 2 f when three letters picked without replacement from {u: 5, f: 5, t: 4}.\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -355*g**2 + 183*g**2 + 177*g**2.\nAnswer: 5*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2280809\/832 + -2815736399\/1024192. Let m = -6\/1231 + w. Calculate the common denominator of -113\/120 and m.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 5*l + 11 = 0, 4*h + 5*l + 25 - 4 = 0. Let o(a) be the third derivative of -a**5\/30 - a**4\/4 - a**3 + 8*a**2. Calculate o(h).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 260188 + -176190. Let i be (-2 - -1) + -1 - a. What is i rounded to the nearest 10000?\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.366352717 rounded to four dps?\nAnswer: 0.3664","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2040 = -37*k + 2104. Let t(j) = j**3 + 9*j**2 + 6*j + 4. What is the remainder when k is divided by t(-8)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -49606762, -49606765, -49606768, -49606771, -49606774?\nAnswer: -49606777","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.002415232229 to 5 decimal places.\nAnswer: -0.00242","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -d**2 + 10*d + 6. Determine w(11).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1966 and -1.44?\nAnswer: -2831.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6179101 (base 10) to base 15.\nAnswer: 820ca1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.1 greater than or equal to -6913?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 149694, 299296, 448898?\n\"Answer: 149602*n + 92","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -a**3 + 18*a**2 - 44*a - 1. Let j(u) = u**2 + 11*u - 2. Let m(d) = 4*j(d) + q(d). Give m(22).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + 11\/((-385)\/238).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 3 + 5*n**2 + 3396*n - 3399*n - 4*n**2. Give v(4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*t + 32 = -36*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -9792*n + 9789*n - 3*v + 6, -3*n + 5*v - 34 = 0 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-48 - ((25 - 37) + 23)) + 36\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of f**5 + 68 + 145*f**3 - 68 + 269*f - 4*f**3 wrt f?\nAnswer: 20*f**3 + 846*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-121)\/5)\/(7\/(-35)). Let t be 18 + (4 - 7) + 7. Calculate the highest common factor of t and x.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in -4\/5, 3.651449, -0.07?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -130202204 - 114?\nAnswer: -130202323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 24 and 864?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -154*k + 153*k - 2 = 2*o, 5*o = -5 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9 - ((8 + -4 - -1) + -9)) + 7?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (9\/90)\/((-2)\/(-28))\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -x**3 + 8*x**2 - 8*x - 4. Let v(a) = -a + 24. Let d be v(20). Suppose 2*y = -r + 11 + 3, 4*y - 40 = -d*r. Calculate i(r).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 407752?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -3 - 28*j + 14*j + 17*j + j**2. Let i be (0 - (3 + -8)) + (-3 - -3 - 11). What is z(i)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:57 PM and 10:20 AM?\nAnswer: 623","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = 3*b - 7*o - 3, b + 5*o = 19. Suppose 3*u = 5*u - 22. Let q = u - b. What is the units digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*t**5 + t**5 + 3*t**5 + (-3*t + 4*t + t)*(4*t**4 - 2*t + 3*t - 3*t**4 + 2*t**2).\nAnswer: 3*t**5 + 4*t**3 + 2*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -8*v**2 + 29*v - 9. Let d(l) = -7*l**2 + 28*l - 9. Let j(m) = 6*d(m) - 5*i(m). Give j(10).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vvvvvvvvavavvvavvv. Give prob of picking 4 v.\nAnswer: 91\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nvnkvvvvnvvkvvv. Give prob of picking 2 n.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(1\/50))**18\/(t**(-11\/2)\/t**14) assuming t is positive.\nAnswer: t**(993\/50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Sort -0.25, 590, -0.3 in descending order.\nAnswer: 590, -0.25, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1712 and 48043.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 28431?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 366 by 6.\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h = -14*h - 672. Let m be 128\/h*(-2)\/24 + 0. Which is the second smallest value? (a) m (b) -5\/4 (c) 9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -13, -3, -0.1, 0.2, 35?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = -p + 4. Let h(k) = 148*k**2 - 311*k**p + 147*k**2. Let j(f) = f**2. Give j(h(b)).\nAnswer: 256*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 125106 by -2157.\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 3613609 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k when two letters picked without replacement from oookokkkookk.\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -12906 - -59198. What are the prime factors of x?\nAnswer: 2, 71, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5664*b**2 - 18158*b**2 - 7406*b**2 - 51949*b**2.\nAnswer: -83177*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 4347 divide 625419645?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6819 divided by -2911.\nAnswer: -6819\/2911","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1.124 or 412302?\nAnswer: 412302","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) be the first derivative of -4\/11*q + 1\/22*q**4 + 2\/11*q**3 + 28 - 2\/55*q**5 - 1\/11*q**2. Let h(i) = 0. Calculate i.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -g + 23. Let o be m(8). Suppose -4*p = -2*y + 4*y - 44, -5*p + 5 = 0. Suppose -o*f = -y*f + 105. What is the lowest common multiple of 30 and f?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1511265695 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2 + 0 - (-96)\/(-4). Let g = x + 19. Let i(q) = -9*q - 5*q + 6*q + 6*q - 2 - q**2. What is i(g)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 119429021 - -197112484. Let d = c - 316541548.99999832. Let o = 44 + d. Round o to seven decimal places.\nAnswer: 0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 3, c: 2, h: 2, o: 4, r: 2}. What is prob of sequence orhc?\nAnswer: 4\/2145","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -21*p**2 + 3*p - 15*p**4 - 7*p + 15*p**4 - 7 - p**2 + 2*p**5 wrt p.\nAnswer: 40*p**3 - 44","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (196\/343)\/(12\/42). Is 41\/62 at least as big as n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1 - -2)*(-3 - -7). Suppose -3*r + 91 = z*r. Let v = 2520 - 2506. Which is smaller: v or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 + 11 + (-2 + 5 - -10).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:45 PM and 2:17 PM?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, 105, -5, -2, 5 in decreasing order.\nAnswer: 105, 5, -2, -5, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-94)\/141)\/(4\/(-42)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h*h*h**(-8)\/h)\/h*h)**(-8))**(-12\/11) assuming h is positive.\nAnswer: h**(-672\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47*d = -48*d - 17. Let r(p) = -8*p - 8. Let x(a) = 3*a + 3. Let c(t) = d*x(t) - 6*r(t). Calculate c(-7).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + -4 - (-6 - (8 - 13))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 2\/11, 0.03, -1, 19, 1\/10?\nAnswer: 19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Are -694 and -1316 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 - 39 = -3*q. What is the derivative of -4 + 32*p + q + 7 wrt p?\nAnswer: 32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 74536 and 8932.\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + -1*sqrt(17) - sqrt(17))**2 + -2 + (sqrt(425) - ((sqrt(425) + sqrt(425)*3 - sqrt(425))**2 + sqrt(425))) + sqrt(425) + -5.\nAnswer: -3760 + 13*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 31279.851 rounded to the nearest one thousand?\nAnswer: 31000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -78818 (b) -2\/5 (c) 619 (d) 1 (e) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 42*w - w**3 + 6*w**3 - 47*w.\nAnswer: 5*w*(w - 1)*(w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1583?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + 70 + 2 + (-12 - -15 - -10).\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 117447164?\nAnswer: 2, 149, 197059","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1\/5*-4)\/(12\/(-10)). Let j = -2.6 + -0.4. Which is the nearest to w? (a) 1 (b) j (c) 2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 8*d - 7*d. Suppose d*y = 526 - 196. Calculate the common denominator of 99\/2 and 4\/(-22) - 1058\/y.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 131283, 262567, 393851, 525135, 656419, 787703?\n\"Answer: 131284*w - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1 + -3 + 10\/2. Let h be 6 + -4 - (-2 - -1). Suppose -h*o + 6 = -0*o. Solve -p*v + 9 = -2*y, -1 + 7 = -2*y + o*v for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d + 6*t + 76 = t + 20, 3*t = 33*d - 102 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*o**2 + 4*o**2 - 4*o**2)*(-3 + 3*o**2 + 0*o**3 + 4 + 2*o**3).\nAnswer: 4*o**5 + 6*o**4 + 2*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n**2 - 25*n + 29. What is o(0)?\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3 - -1. Suppose x - p + 10 = p, -4*x - 3*p + i = 0. Is ((-13)\/1 - -2)*x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 143\/36 and 59\/29228.\nAnswer: 263052","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.065 - 29.635. Let z = 41.8 + l. Let b = z - 12. Which is smaller: 3\/4 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 12\/25 of a microgram?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 68 - 20 = 8*w. Suppose 2*y - 10 = -5*r, -r - 20 = -4*y - 0*r. Solve 0 = -y*f + 21 - w for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1378 - 1385. Let x(i) = 4*i**2 + 8*i + 3. Let v(t) = 5*t**2 + 8*t + 2. Let z(p) = 3*v(p) - 4*x(p). Give z(k).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -14 + 16. Let d = 24 + -19. Suppose -2*q + 45 = d*z, -z - 25 = -2*q + c. What is the greatest common divisor of q and 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -174, -198, -232, -282, -354, -454?\nAnswer: -588","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -8 + 29. Suppose 14 + o = 5*m. What is the remainder when 18 is divided by m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 64aad72 + -2?\nAnswer: 64aad70","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3 + 0. Let x = 2 - -1. Calculate the remainder when a is divided by x.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10812?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 2*d - 0. Let p(a) = 17*a - 8. Is p(d) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23873?\nAnswer: 23873","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the first derivative of -111*f - 14 + 0*f**2 - 1\/4*f**4 + 1\/3*f**3. Differentiate z(c) wrt c.\nAnswer: -3*c**2 + 2*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -78.5 + 79. Which is the second biggest value? (a) -5 (b) -2 (c) -32 (d) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4 - 35305?\nAnswer: -35301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -0.02, 0, 10, 2, 0.4 in decreasing order.\nAnswer: 10, 2, 0.4, 0, -0.02, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 4179654 a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -22.2606541 - -22.2706. What is k rounded to three dps?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 69767000 rounded to the nearest 1000000?\nAnswer: 70000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 108 a factor of 1018664?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -15761602 (base 8) in base 16?\nAnswer: -37e382","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -26 + 20. Let b(h) = h**3 + 6*h**2 - 3*h + 1. What is the units digit of b(u)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -13.4 + 0.4. Let t = m - -9. Which is the third biggest value? (a) t (b) 3\/4 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9 + -21 + (-2 + 3 - -7) + -5\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 3*c + 1 = 3, 4*x - c = -5. Let a(i) = 15*i**2 + 2*i + 1. Let s be a(x). Suppose -s + 83 = 3*u. List the prime factors of u.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 111386 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/13, -1, -4, -1.4 in decreasing order.\nAnswer: 4\/13, -1, -1.4, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 22202021 (base 3) in base 11?\nAnswer: 487a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8050*w + 268362 - 2171*w - 268361.\nAnswer: 5879*w + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 0.0079 - -75433\nAnswer: 75433.0079","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) be the first derivative of -3*b + 2*b + 2*b - 4 - 2*b - 3*b**2. What is l(-1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-14)\/30 + 17\/(-85) + (-48)\/(-99). Put 1\/3, l, 33, -1, 0.4 in ascending order.\nAnswer: -1, l, 1\/3, 0.4, 33","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1808573 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the second derivative of -1\/108*x**4 - 1\/27*x**3 + 0*x**2 + 0 - 18*x. Factor n(h).\nAnswer: -h*(h + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 423345040 (base 6) to base 9.\nAnswer: 15011556","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 624 a factor of 45359184?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = a**2 - a - 1. Let x(p) = -5*p**2 + 6*p + 1. Let s(g) = x(g) + 4*y(g). Let l be s(2). What is the smallest value in l, -1\/2, 2\/5?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r\/(((r*r**(-2\/3))\/r*r)\/r))**(-2\/91)*(r*r**(2\/5)*r)**(1\/14) assuming r is positive.\nAnswer: r**(22\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3565*r + 109220 = -1025*r for r.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = 3*o - 5*o - 1898, -1532 = -4*c + 5*o. Is 27 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 121 divide 659692?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 26286, 52570, 78854?\nAnswer: 105138","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Do 122 and 1100\/9 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3 + -4. Let q = -7.4 + 6. Let w = 0.6 - q. Which is the closest to x? (a) -1 (b) 0.1 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 477102926?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 21208082?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1\/308 and -103\/396.\nAnswer: 2772","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/17 in -4, 2\/13, -9?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -162 + 99*b**2 - 2*b - 36*b**2 - b**3 + 0*b**3 - 65*b**2 to the form d*b**2 + k + x*b**3 + s*b and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -2 - -1 - (-8)\/4. Let t be 29 - (16 - 8 - 2). Suppose -35*w - 47 = t. Sort a, -1, w, -7 in decreasing order.\nAnswer: a, -1, w, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5*500.\nAnswer: 250","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60*w - 46*w - 56 = 0. What is the greatest common factor of 124 and w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h when two letters picked without replacement from hhhhhhhhhh.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*z - 30186 = 252*z. Is -1291\/10 at least as big as z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10\/(-4)*((-45)\/(-18))\/5.\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1179 is divided by 891.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 30862814 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 103766 and 11666?\nAnswer: 614","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 846885 and 24375?\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 13 + -6 - 4\/(-2). Suppose 0 = -0*t - 3*t + x. Let c be 20\/12 - 2\/t. Is -1\/4 smaller than c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1 - 8\/(-6) - (-35)\/(-78). Let w = 5\/182 - g. Suppose 1 - 11 = -5*s. Which is the smallest value? (a) s (b) 0.2 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -156 + 171 - ((4 - -1) + -2)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-444)\/54 - 2\/(-9). Let i be -4*(26\/p + 3). What is the units digit of ((-6)\/4)\/(i\/(-2))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.3 + -0.7. Let l = q - 1. Let f be (-1)\/(((-17)\/85)\/(3\/25)). Which is the nearest to 1? (a) f (b) l (c) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -81005, -161950, -242891, -323828, -404761, -485690?\nAnswer: -566615","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) 27.5 (b) -1 (c) -75\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 232 + -212. Calculate the greatest common divisor of f and 16.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 25164 and 60.\nAnswer: 125820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 31767?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 940229 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b**3 + 3*b**2 - 11*b - 6. Let y be i(-5). Let o(f) = f - 1. Let j(c) = -5*c + 2. Let u(p) = y*j(p) - 4*o(p). Give u(5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -11 by -19905.\nAnswer: 11\/19905","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = 4*u - 4*s - 232629, -5*u + 4*s = -290778. Suppose h - 12244 - 7144 = -d, 0 = 3*d + h - u. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 b when three letters picked without replacement from {c: 3, b: 6, e: 6}.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -144, -250, -414, -642, -940?\n\"Answer: -f**3 - 23*f**2 - 30*f - 90","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5 + 5 - 7*g - g - 10*g - 5*g + (-3*g - 2*g + 4*g)*(-2 - 2 + 5))*(8*g - 2*g - 2*g) in the form z + i*g**2 + s*g and give i.\nAnswer: -96","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (0 + -13)\/(6 - 7). Suppose -5*b = -25 + 10. Suppose s*a - 1790 = b*a. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:28 PM and 7:05 PM?\nAnswer: 337","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -12 - -28. Suppose -17*p = -x*p - 5. Solve -5*i + p*n = 30, -3*n + 5 = -i - 9 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d**5 - 3594*d**4 + 1644748*d**3 - 26981176*d**2 + 22064880*d + 50694400 = 0 for d.\nAnswer: -1, 2, 16, 890","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1789, 1793, 1797?\nAnswer: 1801","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 560 minutes after 9:38 AM?\nAnswer: 6:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11001000 + -1010110011?\nAnswer: -111101011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let -48*z**4 + 14228*z**3 - 33730*z**2 - 110056*z + 29400 = 0. What is z?\nAnswer: -2, 1\/4, 25\/6, 294","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 8 - (8 - (9 - 7) - -2)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -q**3 + 12*q**2 + 14*q - 27. Let g be u(11). Suppose -2*b - 320 = -4*a + g, 568 = 4*a - 4*b. List the prime factors of a.\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -2, 3.36, 1\/6, -4\/9?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1715*a**3 - 3846 + 3846 + 101021*a**3.\nAnswer: 102736*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 310131 is divided by 37?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-6)\/11 + (-4686552)\/(-286).\nAnswer: 2, 3, 2731","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4053\/221 - 300\/17. Let w = 145\/247 - j. What is the fourth smallest value in w, 1, 3, 0.3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 102*w + 9. Let z be v(-2). Let f = 433 + z. What is the units digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -16299 + 16298.999986415. What is w rounded to seven decimal places?\nAnswer: -0.0000136","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 - 3 + 4)*(-2*w + 2*w + 4*w**3) - w - 4*w**3 - 2*w**3 + 4*w**3)*(-3*w + 5*w + 0*w).\nAnswer: 12*w**4 - 2*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3208 is divided by 1069?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -87.98 - -87. Let i = a - 0.02. Let m = i - 0. Which is bigger: -1\/4 or m?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*v - 75 = v. Let y = v - 21. Let k be y\/(-5)*30\/9. Solve 4*a - 17 = -k*g + 7, -3*a + 10 = -5*g for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 550.38789 minutes to days.\nAnswer: 0.3822138125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -8014368*j + 11740584.\nAnswer: -8014368","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1286 + -1283. Let y be (-1)\/((-14)\/(-4)*-2). Which is greater: y or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 - 6 = -p. Suppose p*c = -0*c + 4*i + 50, -4*c + i + 71 = 0. What is the units digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 10 = 2*q. Suppose -5*x - 4*g = -447, q*x - 2*g + 48 = 234. List the prime factors of x.\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve y - x = 7, 4*y - 3*x - 755 = -723 for y.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -11\/42 and 47\/29831571.\nAnswer: 59663142","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 4*u = u + 5, 0 = -5*k - 2*u + 12. Suppose 0 = 2*v + k*v. Suppose v = 2*b + 3*b - 75. What is the greatest common factor of 105 and b?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1761169.\nAnswer: 1761169","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -29 + 11. Suppose -3*n + 81 = z, 8 = -4*z - 4. Let u = i + n. Is 10 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 33 * -40.46.\nAnswer: -1335.18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 7, n: 2, p: 1, k: 3, c: 1}. What is prob of picking 3 k and 1 p?\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -459, -469, -497, -555, -655, -809, -1029?\n\"Answer: -2*z**3 + 3*z**2 - 5*z - 455","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 232 = 7*r - 12*r, -3*r = -5*f - 143. Let k = -244 + 427. Calculate the remainder when k is divided by r.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8508 is divided by 4254.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = 4*a - 25. Let m(b) be the first derivative of -b**6\/120 + b**5\/15 + b**4\/6 - b**2\/2 + 2. Let v(u) be the second derivative of m(u). Give v(a).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 13036651 by -5.\nAnswer: -13036651\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5 - -9?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -18b23 (base 15) in base 4?\nAnswer: -103210011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, b: 1, i: 4, e: 5, n: 1}. Give prob of picking 1 i and 1 n.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 222 + 159 + 732 = -53*f for f.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 58392?\nAnswer: 2, 3, 811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-17 - 7) + 31 + -16.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 1187 divide 2502196?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.2877 + -0.1877. Let y be (-2)\/(-57)*(1 - -2). Which is the second smallest value? (a) l (b) y (c) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = -4*w - 14, 0*w = -2*w. Differentiate 5*u - i*u + 4 + 5 - 7*u wrt u.\nAnswer: -9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 3*g = -2*g + 19, 2*v + g + 12 = 0. Let l be 5 - -25 - ((-2)\/(-2) + v). What is the highest common factor of l and 1116?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 10\/3 of a week?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2665*b**2*i - 6994*b**2 + b*i + 2120*b + 3407*i + 1 wrt b.\nAnswer: 5330*i - 13988","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 168 = -a, -r = 3*a - 2*a - 174. Find the common denominator of -41\/4 and a\/20 + (-15)\/(-60).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1272, -2626, -3980, -5334, -6688?\nAnswer: -8042","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0 - -5. Let k = 169 - 152.4. Let x = 17.7 - k. Which is the second smallest value? (a) 0 (b) x (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-6 - 4)*(-52)\/(-8)*-1. Let k(u) = -r*u - u**2 - 2 + 45*u + 30*u. What is k(11)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*o + 532 = 2*o. Calculate the remainder when 123 is divided by o.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 560 minutes before 1:58 AM?\nAnswer: 4:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 131*b**2 + 129*b**2 + 132*b**2 - 510*b**2 + 124*b**2.\nAnswer: 6*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -12*c - 3. What is j(-2)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the third derivative of -23*j**8\/336 - 17*j**4\/24 - j**3\/3 + 108*j**2. What is the second derivative of f(y) wrt y?\nAnswer: -460*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rct when three letters picked without replacement from crttr?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -4, -0.26, 5, 86.91, 0.5, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-16*1)\/(-4) - 2. Suppose t = 9 - y. Solve -2*p - 10 = -t*p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -423313 + 2?\nAnswer: -423311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5943?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.2, -6\/7, 3, 18\/125, 1?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*o**3 + 6*o**3 - 3*o**5 + (-3*o**2 + 2*o**2 + 3*o**2)*(2*o - 2*o**3 - 2*o).\nAnswer: -7*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 141299 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s**3 - 3*s**2 + 3*s + 7. Let b be t(5). What is the highest common factor of 9 and b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1\/3 (b) 5 (c) -2 (d) 545 (e) 2\/15 (f) 0.97\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -68 = 4*v - 4*x, 2*v - 4*x = v - 32. Calculate the remainder when 3 is divided by (-9)\/2*v\/18.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 2 - 17*f + 18*f + 0. Let s be m(-2). Let k = 7 - s. What are the prime factors of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 24*o**2 - 28*o**2 + 53 + 25*o**2 wrt o.\nAnswer: 42*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6.9277 - 6.89. Round h to three decimal places.\nAnswer: 0.038","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -70573443*q**2 + 81036488*q wrt q?\nAnswer: -141146886","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 14\/27 and -5\/117.\nAnswer: 351","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1595?\nAnswer: 5, 11, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) be the second derivative of 21*f**4\/2 - 3*f**3\/2 + 40*f. What is the second derivative of c(j) wrt j?\nAnswer: 252","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by 2140?\nAnswer: 3\/2140","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -n**3 + 5*n**2 + 3*n - 5. Let r(y) = -y - 5. Let m be r(-10). Does 2 divide j(m)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2 + 107 - (-2 + 0). Let m = 1001\/9 - u. Let w = 3 + -1. Which is the nearest to -1? (a) m (b) -0.3 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-12)\/50*(-255)\/68)\/((-33)\/(-220))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -45 + (-3 - ((19 - 11) + 11 + -33)).\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -u**4 - 4*u**4 - 2*u + 14*u**2 - 1 - 48*u**3 + 48*u**3 to the form m*u**4 + y + l*u + d*u**3 + k*u**2 and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 - (-2 + 6) - -2.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 414 - 344155?\nAnswer: -343441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -151*r**2 + 560*r + 984. Give s(5).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -11381 + 11383. Solve -y*c - 5*h = 16 - 8, 0 = c - 5*h + 4 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 1785824?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*p - 4*p + 2. Suppose 2*s + 18 = 4*o, -3*o = -2*s - 3*s - 45. Is 11 a factor of (-96)\/s - p\/6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*n**2 - 4 - n**2 + 4 - 8*n**2.\nAnswer: -27*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c*c\/(c\/((c*c*c\/((c*c**(-10\/11))\/c))\/c)))\/c*c**14\/c)**(-35))**36 assuming c is positive.\nAnswer: c**(-220500\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -2*n**2 + 4049*n. Let o(u) = -9345*u. Give p(o(b)).\nAnswer: -174658050*b**2 - 37837905*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 2336 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -h + 2. Let i = -9 - -7. Let d(v) = -v**2 - 4*v - 1. Let s be d(i). Let r be z(s). Which is the closest to 0? (a) 0.3 (b) r (c) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 29940 and 307012245?\nAnswer: 7485","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + (4 + -3 + -1 - -4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 690 minutes after 10:28 AM?\nAnswer: 9:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-90)\/(-132)*10318\/(-11256)?\nAnswer: -5\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4852 at least as big as 4851?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = g - 4. Suppose 0 = 5*w + 17 - 7. Let s(y) = -y + 3. Let i be (3 + -4)*(-2 + -1). Let p be (-6)\/(-2)*i\/(-3). Give p*s(o) + w*d(o).\nAnswer: o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.397 to 2 dps.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4 + -3. Let q be 2*t\/2*3. Find the third derivative of -4*m**2 + 3*m**q - m**3 + 2*m**3 wrt m.\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 4*u + 14 = 0, 4*u = 2*k - 4*k + 30. Suppose -68*j = -80*j - 120. Let a be (2 + 1)*(k + j). Sort a, -1, -5 in decreasing order.\nAnswer: a, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2*((-14)\/(-4) - 1). Suppose -t = 3*t. What is the second smallest value in b, -1\/2, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k - 7 = -2*q, 26 = -85*k + 87*k + 4*q for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 + -1. Let h be q\/5 + 9\/(-5). Let w = -43 - -46. Sort 4, h, w.\nAnswer: h, w, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 24.2123 - 1.2047. Let w = s + -23. What is w rounded to 3 decimal places?\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is a - -4b3c?\nAnswer: 4b49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*b**2 - 2 + 2 + 13.\nAnswer: -2*b**2 + 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5532, -23261, -53184, -95301, -149612, -216117, -294816?\nAnswer: -385709","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -1291*l**2. Let k(x) be the second derivative of -x**3\/6 - 5*x - 47. Determine k(p(n)).\nAnswer: 1291*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1300) - (0 + sqrt(1300) + 1)) + 4)**2.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4 + (6\/(-2) - (-11 + 9)). Solve 0*n - w*n - 6 = 0 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -13249 or -14853?\nAnswer: -14853","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1012 and 7337?\nAnswer: 29348","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 9133 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -p**2 - 12*p - 12. Let y be r(-9). Suppose 5*k = 4*q - 175, -4*k + k = -4*q + 177. Calculate the highest common factor of q and y.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 25048542?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -3088, -2761, -2434?\n\"Answer: 327*k - 3415","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1667?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-5)\/90*14 - -1. Let s = 42 + -42. Let q be (-20)\/(-8) + -2 + s. What is the nearest to q in -0.3, -0.1, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by -228\nAnswer: -1\/228","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 2364 a multiple of 41?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0 - 0. Suppose -4*i - 5*b = -27, v + 15 = 4*i + b. Suppose 5*m = -i*c, m = 4*m + 2*c. Which is smaller: 1\/5 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 45*z**2 + 6 - 14 + 8.\nAnswer: 45*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -18385, -18354, -18325, -18298, -18273?\n\"Answer: -g**2 + 34*g - 18418","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s - 3*a = -21, 40 = -s + 3*a + 34 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 949 or 3795\/4?\nAnswer: 949","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 998\/145 + -14\/29. Which is bigger: -2\/7 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -6*(5\/3 + -2). Let n(u) = 2 - u - 2*u - c*u. Let z be n(-5). Solve b + z = 5*x, 5*b = 4*x + 15 - 45 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2568 + -2556. What is the remainder when 2399 is divided by f?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 637606 to the nearest integer?\nAnswer: 799","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11500 = -13132693*s + 13132923*s for s.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Add together 49 and 446.\nAnswer: 495","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**6\/h**12 assuming h is positive.\nAnswer: h**(-6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -c**2 + 18*c + 43. What is i(0)?\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 121837.7 + -241375.\nAnswer: -119537.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mtqyg. What is prob of picking 1 g and 1 q?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d**8)\/d*d**6)\/(d*d**(-6)\/d*d**(-6)) assuming d is positive.\nAnswer: d**26","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u*u**(-29)*u*u*u\/(u**(15\/8)\/u)*u assuming u is positive.\nAnswer: u**(-199\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -54772, -109577, -164382, -219187?\n\"Answer: -54805*x + 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49*a - 70 = 46*a - 2*o, 3*o - 78 = -3*a. Solve a = 5*g - 3*t - 0, 3*t = -3 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 3*w. Let x(k) = k. Let s(n) = -d(n) + 4*x(n). Let g(m) = 3*m + 0*m + 3*m. Calculate g(s(f)).\nAnswer: 6*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2 - (-4)\/(-3))*(-4 + 1). Solve -21*s + 26*s = m for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.3 + 0.5. Let k = -37\/29 - -53\/87. What is the nearest to -1 in k, -5, b?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 2, h: 1, k: 1, n: 1, d: 4}. What is prob of sequence dkd?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*o - 5*b - 22 + 1 = -5*o, 32*b - 37*b - 25 = 0 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1393\/12 + -116. Let f = 41.9 - 42. Which is the second biggest value? (a) m (b) f (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a*(a\/a**(-6))\/a)\/a)**(18\/13)*a**(3\/19)*a**(-28))**(-33) assuming a is positive.\nAnswer: a**(159225\/247)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*9*-1 - (-7290)\/972?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((0*d + 0*d + 2*d)*(4*d - 2*d - 3*d) + (-d + 2*d + 2*d)*(-2 + 2 + d))*(-9*d + 12*d - 21*d) as v*d**3 + i + b*d**2 + g*d and give v.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = t - 28. Determine b(17).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) 0.02 (b) 2 (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 831975755.\nAnswer: 5, 13, 12799627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 1 = 5. Let o(c) = u*c + 5 + 3*c**2 - c + 4*c. Let q(y) = 4*y - 5*y + y**2 - 2*y**2 - y - 2. Give -2*o(w) - 5*q(w).\nAnswer: -w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -15 or -2830\/181?\nAnswer: -2830\/181","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1277.2264 + 1277. Round c to 2 dps.\nAnswer: -0.23","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 6355952?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1.5 + -1.745. Let h = -3.245 - n. What is the smallest value in 6, 5, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 119 + -4. Let v = -103 + j. Factor -22*z - 4*z**3 - 4 - v*z**2 + 4*z + 6*z.\nAnswer: -4*(z + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 272*g - 114. Let l be j(1). Calculate the greatest common divisor of l and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2222\/215 or -9?\nAnswer: -2222\/215","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3\/7, 1, -2, 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -3 + 34\/20*2. Let g = 28\/145 + 6\/29. Solve g*q - 2\/5*q**2 + 2\/5 - s*q**3 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 7 + 1)*(2*f - 3*f + 2*f)*(-8 - 4 - 23)*(-4*f**3 + 3*f**3 + 3*f**3)*(4*f - 5 + 5).\nAnswer: 1680*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h**(2\/27)*h)**39\/(h\/h**(-7\/4)*h**(5\/6)*h) assuming h is positive.\nAnswer: h**(2747\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -o**3 - 111*o**2 - 211*o + 767. Let k be r(-109). Which is the closest to 2\/7? (a) -77 (b) -5 (c) k (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -s. Let y be i(-2). Suppose -5*f + 0*f = -25. Suppose 3*v - w = -173 + 201, -90 = -5*v + 5*w. Solve -f*h + h = -v*o + 15, y*o = -4*h + 6 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6 + -2. Suppose -5*i = d + 117, -2*i + 2*d - 42 = j*d. Let p be i\/16*(-2 + 0). Which is smaller: 2 or p?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3806 and 14.\nAnswer: 26642","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 5*(3 + (-595)\/(-25)). Let y = 439 - r. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-57)\/133 - (-152)\/28. Solve 4*q - 9*q - b = 0 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + -21 - (-132 - -141)?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 284348017 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (21\/(-56))\/(363\/(-24) - (-165)\/11). Let x = -8 - -5. Put -1, x, 2.4, o in descending order.\nAnswer: o, 2.4, -1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.437404908 minus 2?\nAnswer: -1.562595092","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2487.9997851 - 2488. What is o rounded to five decimal places?\nAnswer: -0.00021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2 - -29) + (-1652 - -1613)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -33 - 23*x - 2*x**3 + 2*x**2 + x**4 + 58 - 53 - 54 to the form w*x**3 + m*x + b*x**2 + u + s*x**4 and give u.\nAnswer: -82","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k\/k**(-1\/4)*k*k*k)**(-14\/5))**(2\/9)*((k*k**(-2))\/k)**(6\/23)*k**(6\/11)*k*k**(3\/8)*k assuming k is positive.\nAnswer: k**(-26351\/30360)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that -14*m**4 - 31230*m**3 + 259594*m**2 - 291042*m + 62692 = 0.\nAnswer: -2239, 2\/7, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 6.599735nm?\nAnswer: 0.000000006599735","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 81718*f**3 + 216457*f**2.\nAnswer: 490308","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 14 + -14. Suppose s = -6*n - 0*n + 888. Suppose -n = -3*b - b. Calculate the remainder when b is divided by 19.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -17306 + 2*p - 6*p**2 + 29520 + 2*p**2 + 215*p**3 - 20670 wrt p?\nAnswer: 645*p**2 - 8*p + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -5 + k**2 + 4 + 1. Let y(g) = 14*g - 12. Let m(w) = -w + 1. Let r = 0 - -1. Let l(a) = r*y(a) + 12*m(a). What is f(l(t))?\nAnswer: 4*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1 + 0)\/(-2 + 1). Solve j - d = -0 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 6 + 3\/(15\/20). Suppose l*c = 297 + 943. List the prime factors of c.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*d**3 + d**3 + d**3 + (2*d**3 - 4*d**3 - d**3)*(0 + 1 - 2) - 82 + 40 - 10*d**3 + 43.\nAnswer: -8*d**3 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -3*k - k**2 + 32 - 13 - 3*k - 16. Suppose 0 = -5*q + 2*p + 2, q - p + 18 = 4*p. Suppose q = 2*t, 2*m + t + 4 + 5 = 0. Give d(m).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - f = -0*b - 23440, 4*f = -4*b + 23440. Suppose b = 2*l + 2*l. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange n**4 - 4*n**4 - 4*n**4 + (0*n**2 + 2*n**2 - 4*n**2)*(-2*n**2 + 0*n**2 + 5*n**2) to the form l*n + v*n**4 + y*n**3 + z + w*n**2 and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 13956306?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -98988*b + 98988*b + 39*b**3 + 75 as u*b**3 + c*b + f*b**2 + a and give u.\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 990 and 0.054?\nAnswer: 53.46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54 = -11*t + 230. Solve 4*n = 4*v + 1 + 3, v = -4*n - t for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -1, -3, 23 in decreasing order.\nAnswer: 23, -1, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1 + -10. Let p(q) = -1 + q**3 - 1756*q**2 + 8 - 8*q + 1764*q**2. Give p(k).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1677 to the power of 1\/2, to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p + 2 = -2*q, 191*q - 3*p = 193*q + 18 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = d - 181, 2*h + 752 = -d + 5*d. Suppose 8 = 5*y - d. What is the remainder when y is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 15773?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 585 minutes after 5:06 AM?\nAnswer: 2:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is four fifteenths of a century in months?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 411, 843, 1275, 1707?\n\"Answer: 432*f - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*sqrt(12) + 3.\nAnswer: -6*sqrt(3) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 0 - 54?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the third derivative of c**4\/6 + 5*c**3\/6 - c**2. Suppose 5*p - 83 + 58 = 0. Let f be b(p). Calculate the highest common divisor of f and 225.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 683, 2690, 6035, 10718?\nAnswer: 16739","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -36*y**2 + 21*y**2 + 7*y**2 - 20 + 7*y**2 + 4*y to the form f + p*y**2 + d*y and give f.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*l + 3 = 11*l. Suppose -2*t = -3*k - 15, 4*t - 5*k - 26 = l. What is the remainder when 4 is divided by t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 5*a = -6. Let o be -3 + a\/3*43. Let r = 90 - o. What is the highest common divisor of r and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.626041 * 0.1\nAnswer: 0.1626041","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 plus 19952?\nAnswer: 19951.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -2*y**3 - 3*y**2 - 2*y + 3. Let v be o(3). Let u be -3*(-32)\/v + 1. Let r = -7 + 10. What is the second smallest value in r, -4, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = j**2 + 831*j + 9832. What is k(-12)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 4373, 4393, 4427, 4475?\n\"Answer: 7*h**2 - h + 4367","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -9.3 + 10. Suppose -5*z - 9 = -6*z + 5*m, -z + m = -9. Let y be (-3)\/10*12\/z. Is o at least as big as y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 121341457 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-36)\/12)\/((-93)\/620).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n - d = -n + 4, 0 = 5*n - 3*d - 30. What is the highest common divisor of n and 36?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 3*c**2 - 3*c + 7. Let z = -9 + 13. Let s be j(z). Suppose 5*v - 60 = -n + 51, -2*v + n + s = 0. What is the tens digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -51.7 + -0.778\nAnswer: -52.478","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3 or -20\/17?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbkbbkolbebooobo. Give prob of picking 1 b and 2 k.\nAnswer: 1\/80","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -788000 rounded to the nearest 10000?\nAnswer: -790000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 43 divide 7\/(476\/(-8)) - (-2348)\/17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (3 - -5) + 65 + 0. Factor -73*p + a*p + 38*p**3 + 39*p**3 - 17*p**3 + 30*p**4 + 40*p**2 + 5*p**5.\nAnswer: 5*p**2*(p + 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that 3*b**4 + 555*b**3 + 25071*b**2 + 323769*b + 299250 = 0.\nAnswer: -125, -38, -21, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 32 = 2*d, 5*f - d - 32 = 22. Suppose f = -j - j. What is the third biggest value in j, 1, 3?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -0.23 (b) -20566 (c) 4.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18395 is divided by 6130?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sum -746524823 and 0.\nAnswer: -746524823","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/4*16\/24?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = z**2 + 4*z + 1. Let f be p(-2). Let q = 0.16 - 7.16. Let a = 6.9 + q. What is the nearest to a in 1, f, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(-7)*(g*g\/g**(-1\/11)*g)\/g assuming g is positive.\nAnswer: g**(-54\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.118394 rounded to 2 decimal places?\nAnswer: -2.12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 292870000 to the nearest one million.\nAnswer: 293000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 27168 a multiple of 283?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 81114?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -628 (base 9) to base 16.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(((a\/(a*a*a**7))\/a)\/a)*a*(a**(4\/3)*a)\/a*a**(-2\/3)*a*a*(a*a\/(a*(a*a**(-1\/5))\/a))\/a)**20 assuming a is positive.\nAnswer: a**(892\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 120 divided by 6?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 1979 = 2\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m**2 + 14*m + 15. Let q be j(-12). Let r be (-1)\/3 - q\/27. Suppose -2*x + o + 266 = r, -3*o = 2*x - 3*x + 143. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -9746660890.700000646 - -9746660875. Let z = 15.7 + l. Round z to seven decimal places.\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in 3, 0.2, -194?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*u - 55 + 6 + 169 = 0 for u.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 49251 + -23584. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39148 - 34448 = -5*y - 2*f, -f + 29439 = 2*y. What is the ten thousands digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46*k + 3124 = 188*k. Let l = 8 - 3. Let i(o) = 23*o - 5. Let w be i(l). Calculate the highest common divisor of w and k.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 118 divided by -118?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -7*j**2 - 1. Suppose -2*r = -4*b - 4*r + 26, -4*b + 1 = -3*r. Let o = -3 + b. Calculate k(o).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3)\/2 - (-325922)\/4 - -3. Suppose 15*d = 4*i + 11*d - 162928, 0 = -2*i - 4*d + a. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = h - 22. Let p be z(8). Let n be (1 + -7)*(p\/6 - -3). Let g be (-677)\/(-7) - n\/(-42)*-3. What is g rounded to the nearest ten?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 7) to base 6\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -571552.121427 and 0.5?\nAnswer: 571552.621427","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = -2*m + 221, 0*l + 330 = 3*m - 4*l. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1708595401?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(12))\/sqrt(2) + sqrt(6) + sqrt(108)\/sqrt(2))\/(sqrt(384)\/sqrt(8)*4).\nAnswer: sqrt(2)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zznz when four letters picked without replacement from nzzznznnzzzzznzzznn.\nAnswer: 385\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2.981 and 1?\nAnswer: -2.981","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4\/(-2) - 2*-3. Suppose -c*t = 3*t - 70. Suppose t*f - 181 = -61. Solve 0 = h + 2*h - f for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 376878 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -463 = 140*j + 797 for j.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = -h - h. Let q be (-2 + 4 + h)*(-8)\/16. Which is greater: 2\/13 or q?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3.29 and 0.1?\nAnswer: 0.329","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.6? (a) -2\/9 (b) -0.2 (c) 16 (d) 1\/34\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*s - 2*s - 7*s + (1 - 1 - s)*(-1 + 0 - 1) - 2*s + 4*s + 0*s)*(0 - 1 + 0) in the form x*s + h and give x.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 37*y. Let c(p) = 241*p - 1351. Calculate c(h(d)).\nAnswer: 8917*d - 1351","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -4783347 - -22?\nAnswer: -4783325","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 2*p = -9, -3*o - 4*p + 5 = p. Let b be (-2)\/(-8)*0\/(-1). Suppose -g + 3*j + 0*j + 26 = b, -5*j + 30 = 2*g. Solve -g = o*w + 5 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 * 57591\nAnswer: 57591","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = j**2 + j + 2. Let q(p) = -p**2 - 8*p - 13. Let d be q(-3). Let o(a) = 9*a**2 + 9*a + 22. Let v(c) = d*o(c) - 22*k(c). Factor v(n).\nAnswer: -4*n*(n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22 + -5 - ((-736)\/(-80) + 9)?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3 + 270?\nAnswer: 273","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1114516 (base 7) to base 5.\nAnswer: 13412422","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 543 minutes after 11:44 PM?\nAnswer: 8:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 16904293 to the nearest integer?\nAnswer: 257","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 5, 4, -4\/5?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -5*d + 4 - d**2 + 3 - 9. Let m be o(-4). Solve -m*r + 8 = -2 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 + 1)*(-7*q + 3*q - 7*q) - q + 0*q + 0*q.\nAnswer: -23*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (9\/27)\/(3\/39). Let l(s) = 2*s**2 + 4. Suppose 0 = 24*a - 0 - 0. Let v be l(a). Which is bigger: h or v?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fvq when three letters picked without replacement from fqv?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 10 and 422.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b + 3*u = 5, -3*b + 4*u - 5 = 1 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, l: 3, m: 2, p: 4, z: 6}. What is prob of sequence mm?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 109211380.\nAnswer: 2, 5, 997, 5477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7113469.\nAnswer: 11, 58789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -630 = -4*k - 40*k - 19*k for k.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.9 and 21?\nAnswer: -18.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 92*w + 49*w + 6 + 50*w to the form d*w + f and give f.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2152 - 1348. What is the units digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1139 and 737?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Are 140314 and 139820 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 10 and 356308480?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 106*v**3 + 2*v - 1. Let a be r(1). Suppose -a = -5*k + 78. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(18) + sqrt(108)\/(4*sqrt(6)))\/(sqrt(90)\/(sqrt(10) + (sqrt(90) - sqrt(10)))).\nAnswer: 15*sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -314001232 + -1131?\nAnswer: -314002413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (126\/(-24) + 6)*5264\/12. Calculate the highest common factor of 517 and c.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = 3*d - 0*d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 10*w**3 + w. List the prime factors of y(1).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the third derivative of 11*o**5\/30 - 6*o**2. Let w(x) = 3645*x - 1818*x + x**2 - 1827*x. Calculate w(b(l)).\nAnswer: 484*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -23 + 19 - 18\/(-2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(6)\/(sqrt(8)\/sqrt(4)))**2 + (sqrt(75)*2)**2.\nAnswer: 303","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 83 - 78. Suppose -2 = z*i - 12. Sort i, -2, 3, 5 in ascending order.\nAnswer: -2, i, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 1\/6, -3, 0.07, -0.19 in descending order.\nAnswer: 1\/6, 0.07, -0.19, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/5, -8, -21119?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 153122, 612393, 1377842, 2449463, 3827250, 5511197, 7501298, 9797547?\n\"Answer: -l**3 + 153095*l**2 - 7*l + 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8031568.\nAnswer: 2, 223, 2251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -22 - -15. Let o = q + 13. Is 13 a factor of (-80)\/o*(-36)\/8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -12 + 17. Let b(d) = -w - 63*d + 67*d + 10. Let c(x) be the first derivative of x**2 + 2*x - 1. Determine 2*b(l) - 5*c(l).\nAnswer: -2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 752 is divided by 376?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18 is divided by 13?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -99\/1060 and 9\/148?\nAnswer: 39220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Total of 695565.546 and 30.\nAnswer: 695595.546","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + sqrt(192)\/sqrt(4))**2 + -1.\nAnswer: -32*sqrt(3) + 63","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 u when three letters picked without replacement from {z: 11, u: 5}?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -o + 3. Let r be a(12). Let d be 107\/3 + 6\/r. What is the greatest common factor of d and 350?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1158 + 322*j**2 - 646*j**2 + j**3 + 324*j**2 + 4224.\nAnswer: j**3 + 3066","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that -25*i**5 + 140*i**4 - 161*i**3 - 398*i**2 + 1044*i - 648 = 0.\nAnswer: -2, 9\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 9614*l**2 - 370*l + 3211. Is a(9) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*d + 80 = -4*s, -102*s + 100*s = 4*d - 6 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -217 + 17361\/80. Let u(r) be the second derivative of -d*r**5 + 0*r**2 - 1\/48*r**4 + 0 + r + 0*r**3. Suppose u(h) = 0. What is h?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 2*q**2 - 8*q + 8. Give c(2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(4\/15)\/d*d)\/d**(-3)*d**27*d*d*d*d**(3\/2) assuming d is positive.\nAnswer: d**(1043\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1.3140782 and 545.98.\nAnswer: 544.6659218","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, -2, 0.3, 67 in increasing order.\nAnswer: -2, 0.3, 0.5, 67","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3360*a**2*w**4 - 7*a**2*w**2 - 534*a*w**4 + 3394*a - 4*w**2 wrt w.\nAnswer: 80640*a**2*w - 12816*a*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 36 divide 1296?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*v**2 - 7720*v + 3724900.\nAnswer: 4*(v - 965)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = 5*m + 9 + 6, 0 = 2*z. Suppose -4*j - 7 = -19. Let p = m + j. Solve p*t + 4*t - 8 = 0 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:01 AM and 10:37 AM?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 18, q: 1}. What is prob of picking 4 k?\nAnswer: 15\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -9968400 to the nearest one million.\nAnswer: -10000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (9*(-184)\/(-1449))\/(1204\/(-147))?\nAnswer: -6\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 442*w**3 + 17*w**2 + 6 + 440*w**3 - 884*w**3 + 11*w**2 + 17*w**2.\nAnswer: -2*w**3 + 45*w**2 + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 38614760273 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54*z + 5*f = -55*z + 43998, 5*f - 88001 = -2*z. What is the hundreds digit of z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -44*(8\/28)\/(192\/168)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = u + 2*u + 6 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 549 or 1332?\nAnswer: 549","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -1893*k + 10955395 - 10955395 in the form q*k + n and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 = -5*t - 4*j, 5*t + 5*j - 25 - 15 = 0. Calculate the remainder when 31 is divided by t.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1010 is divided by 26?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 763.969 - 761. Let h = d - 0.069. Let y = h + -3. Which is the third smallest value? (a) -0.4 (b) y (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 76423?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -17*v + 6. Let r(z) = 9*z - 3. Let l(h) = -6*i(h) - 11*r(h). Let u = -28782 - -28785. Determine l(u).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-9)*t\/(t\/(t\/t**(-12))))\/(t\/t**(-5)*t\/(t\/(t*t\/(t*(t\/t**(2\/21))\/t*t)))) assuming t is positive.\nAnswer: t**(-44\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 13605, 13604, 13605, 13608?\n\"Answer: q**2 - 4*q + 13608","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 13 - 8. Let w = h - 17. Is 3 a factor of 3\/12 - 117\/w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = l - 4*l. Suppose -x + 33 = 3*g, x + l*g = -x + 46. List the prime factors of x.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -192 + 477. Let c = l - 151. Is 24 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 828*j*o**3 + 2*j*o**2 + 1803*j*o wrt o?\nAnswer: 4968*j*o + 4*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4, -0.1, -5, 1, 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i*i**(-4\/13))\/i*i)\/i**(-1\/6))\/(i\/(i*i**(-11))*i**(1\/7)) assuming i is positive.\nAnswer: i**(-5615\/546)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 11 * -125\nAnswer: -1375","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 24 and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7 - -6.7. Let w(r) = -6*r**2 + 1. Let i be w(-4). Let z = 477\/5 + i. Which is smaller: z or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the first derivative of -3*a**2\/2 - 2*a + 5. Let r be (186\/(-24) - -5) + (-9)\/(-12). Calculate p(r).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-52 - -6 - -9) + 6?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -26*i - 7 - 11 + 21*i + 2. Suppose 4*o + 5*c + 58 = 0, -12 = 2*o - c + 10. Is l(o) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 13) to base 9\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 39*k**5 + 6*k**4 + 1993*k**3 - 5966754*k wrt k?\nAnswer: 780*k**3 + 72*k**2 + 11958*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 4*a + 69. Let o be h(-16). Suppose 141 = o*q - k + 59, 5*q = -3*k + 94. What is the remainder when 101 is divided by q?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 0.7020482us?\nAnswer: 0.0007020482","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*v = -2 - 22. Solve v*p = -16 + 1 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1495 times -5\nAnswer: -7475","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 584419 to the nearest integer?\nAnswer: 764","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -o**2 - 13*o + 1. Let f be s(-6). Suppose 10*w + 459822 = f*w. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 * 10445880\nAnswer: -5222940","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*d + 2*d = 0. Let q = 14 - 20. Let l = -7 - q. Which is greater: l or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 27 = -4*q, 5*j - 2*q - 3*q = -10. Let w(u) be the first derivative of u**2\/2 + 7*u - 3. What is the units digit of w(j)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1 (b) -46 (c) 35 (d) -3 (e) -68\/19 (f) -2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 3236686 divided by -14134\nAnswer: -229","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f*f*f**(2\/31))*f**(3\/11))**6 assuming f is positive.\nAnswer: f**(-1620\/341)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -21 (base 5) in base 9?\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f = -4*f - 4*v + 64, 0 = -f - 2*v + 16. Sort -2, f, 5, 2 in descending order.\nAnswer: f, 5, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -2*u**2 + 29*u - 106. Let n be o(22). Let v = n - -1046. What are the prime factors of v?\nAnswer: 2, 5, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 108, 136, 130, 90?\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 - 9 = -3*s. Suppose -4*h - 2*v + 16 = 0, -5*h + s*v + 48 = 19. List the prime factors of h.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -3*n + 14. Let h be z(-6). Let r = -157\/5 + h. What is the closest to 3 in r, 1, -4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1448275.8 to the nearest one hundred thousand.\nAnswer: -1400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-10)\/4*24\/(-30))\/(-2). Let y be x + 1 + 960\/(-6). What is y rounded to the nearest 100?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11101010101 (base 2) to base 7.\nAnswer: -5321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 3*w + w**2 - 6 + 2 + 5. Let l be c(5). Suppose 3*y + 6 - l = -5*m, 0 = 5*y - 25. Calculate the remainder when 11 is divided by m.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -117 = -56*k + 92 - 41 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -6 - -14 - (1 - (-1 + -4))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 677*r - 308730. Calculate w(456).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 103 - 97. Let c = -23\/4 + d. Factor 0 + c*u + 1\/4*u**2.\nAnswer: u*(u + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2640410 is divided by 1640?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -641 to the nearest one hundred.\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 419*y - 63. Let z(a) = -56*a + 9. Let m(w) = -2*b(w) - 15*z(w). Give m(-7).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -640 + 651. Does 23 divide (54\/(-4))\/(v + (-6090)\/552)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.07 and 24961290.\nAnswer: 24961289.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the first derivative of -107*q**3\/3 + 428*q - 128. Differentiate g(m) wrt m.\nAnswer: -214*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 66 = 2*f, 33 = -2*f + p + 84. Suppose 0 = 5*r + 2 - f. What is the greatest common divisor of 15 and r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 114*b = 351*b + 215*b. Let i(n) be the third derivative of -17\/12*n**4 + 0*n + b + 1\/2*n**3 - 11*n**2. Differentiate i(p) wrt p.\nAnswer: -34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/(-9)*144\/(-120)*60\/(-8).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 1, g: 3, h: 1}. Give prob of sequence ygh.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 2\/15, 2, -0.04, 239, -4\/5?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1481*w**3 + 5*w**2 - 497*w**3 - 2*w**4 - 496*w**3 + 5 - 492*w**3 - 2*w to n*w**3 + i*w + k*w**4 + p + h*w**2 and give p.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = -5*o - 34, q - o + 6*o - 21 = 0. Calculate the remainder when 4091 is divided by q.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (90\/(-33))\/((-31)\/((-13299)\/104))?\nAnswer: -45\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -3*c + 16. Suppose 24*i + 2 = 26*i. Let v(z) = -z + 1. Let l(u) = i*p(u) - 4*v(u). Determine l(0).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -2 - (-1 + (-8)\/(-1)). Let c be ((-6)\/o)\/(1\/3). Let x(g) = -g**3 + 3 - g**c + 2*g**3 + 3*g + 5*g**2. Give x(-3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 267606 and 126?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Are -155\/4 and -38 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -115\/18 and -52\/333.\nAnswer: 666","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 8*l**3 - 6*l**2 - 2*l + 6. Let j(w) = w**3 - w**2 - w + 1. Calculate -d(t) + 6*j(t).\nAnswer: -2*t**3 - 4*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -20.89 times -3.3?\nAnswer: 68.937","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 6*o**3. Let a = 7 - 8. Calculate q(a).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*b**3 - 258735*b**2 - 3348354015*b - 30114232245 = 0. What is b?\nAnswer: -25869, -9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -81*h - 1226. Calculate x(-15).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1288489 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 9 - 11 = 0. Let y(g) = -7*g + 6. Let u(k) = 7*k - 5. Calculate z*y(a) - 6*u(a).\nAnswer: -7*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 222*l + 8650 = -124*l for l.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 15 + -23 - (-5 - ((-4 - -3) + -4))\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1217454 a multiple of 98?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 529 - 561 + h + 0*h + 0*h + h**3. Let w be 6\/48*0 + (-1 - -1). What is p(w)?\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4009\/3 - (-1320)\/(-396)?\nAnswer: 31, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1815.065 rounded to the nearest 10?\nAnswer: 1820","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) be the third derivative of y**8\/672 - 11*y**7\/420 + 43*y**6\/240 - 23*y**5\/40 + 3*y**4\/4 + 2*y**2 + 9*y. Factor x(n).\nAnswer: n*(n - 4)*(n - 3)**2*(n - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 11*g**3*l*s - g**3*l + 16*g**2*l - 7*g*s - 31*l*s + 1 wrt g.\nAnswer: 66*g*l*s - 6*g*l + 32*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -133, 137, 685, 1505, 2591, 3937?\n\"Answer: -d**3 + 145*d**2 - 158*d - 119","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 0*b - 9 = 0. Let g be b\/6 - 18\/(-4). Suppose -3*h - 3*j - 102 = -8*h, 2*h - 37 = g*j. List the prime factors of h.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -213 - -208. Let y(r) = 39*r**2 + 11*r + 87. What is the thousands digit of y(w)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6481.17 rounded to the nearest 100?\nAnswer: 6500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/8*76\/(-19). Put -2, z, 10 in descending order.\nAnswer: 10, z, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2113677288 divided by 6.\nAnswer: 352279548","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -f**4 + 12 - 12 + 2*f**2 + f - 3*f - 2*f**3 as b*f**2 + a*f**3 + r*f**4 + n*f + i and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-85)\/(-60) - (-2)\/(-3)*(-145)\/(-58). Put 0.3, v, -86 in ascending order.\nAnswer: -86, v, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2 and 0.186.\nAnswer: -0.372","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -31\/32024601 and -80\/33?\nAnswer: 352270611","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -677489555 to the nearest 1000000.\nAnswer: -677000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-5)\/2*224\/140. Let z be 14\/(-21) - p\/(-3). What are the prime factors of z\/(-4) - (-2055)\/30?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*q**3 + 656*q**2 - 326526*q + 973620 = 0. Calculate q.\nAnswer: -601, 3, 270","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 887, 616, 345?\n\"Answer: -271*o + 1158","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -f**3*h**3 - 13*f*h**3 - 246*f*h - h**3 + 6*h**2 + 204*h + 3 wrt f?\nAnswer: -3*f**2*h**3 - 13*h**3 - 246*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 63531887 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0202 minus 281?\nAnswer: -281.0202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -157.69 to the nearest integer.\nAnswer: -158","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 9*x**4 + 520*x**3 - 2*x**2 + 180611*x wrt x.\nAnswer: 108*x**2 + 3120*x - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 784 = -579*r + 216*r + 167*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 22\/(-18) + 2\/9. Let y be (c + 1)*(-2)\/(-4). Suppose -4*j + r = -3*j - 18, 2*r = y. What is the remainder when j is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u + 4*o - 99 + 100 = 49, 2*u - 7*o = -29 for u.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is ce71ae (base 15) in base 4?\nAnswer: 211203220100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -70 = -d - 0*d - v, 2*d - 131 = -5*v. Let j = d + -69. Suppose j*r - 1 = -1. Solve 2*w = 3*s - r - 1, -3*s = 3*w - 6 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -60 - -63 - 23\/9?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 8560 and 24?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 133013 is divided by 5115?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -57*b**3 - 56*b**3 + 1 + 48*b + 173*b**3 - 58*b**3 in the form g*b**2 + h + c*b**3 + i*b and give i.\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -14*c + 28. Let g be y(2). Suppose -5*r - 10 = g, k + 4 = 5*r - 8*r. Let h be (2 - (-58)\/(-4))*-2. Solve 2*x - k*v + h = -7*v, 4*x + 29 = -3*v for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let 2*j**3 + 8*j**2 - 38*j + 28 = 0. Calculate j.\nAnswer: -7, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1 and 21?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen quarters of a microgram in nanograms?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*i + 3*j - 281, j - 69 = i - 0*j. Suppose p - 186 = -66. Let b = p + i. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + t = -8543, 26*t = a + 27*t - 2137. What is the highest common divisor of a and 89?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14769446 is divided by 2854?\nAnswer: 2850","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.1 + 0.1. Sort u, -1\/3, 1 in decreasing order.\nAnswer: 1, -1\/3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 20\/(-16)*(-12)\/18\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5679.36 + -11057992.\nAnswer: -11052312.64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 17650794?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*15\/(-36)*(-52)\/(-650).\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 200948?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 6*h + 4. Let f(a) = -2*a**2 - 83660*a - 4. Give f(o(n)).\nAnswer: -72*n**2 - 502056*n - 334676","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-18)\/(-63) - 654\/(-14). Suppose -i = -3*r - 8. Solve s + r = -4*t, -4*t + 30 = -4*s - 9*t for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3694.771l in millilitres?\nAnswer: 3694771","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = f**2 - 810*f + 2373. Let b(a) = -812*a + 2372. Let j(p) = 3*b(p) - 4*u(p). Factor j(o).\nAnswer: -4*(o - 198)*(o - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*((-11)\/18)\/((-1798)\/72819).\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -33 - (-43 - (14 + -7))?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*l = 15*l - 15. Let w(h) = h**2 - h - 3. Let g be w(3). What is the highest common factor of l and g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -k + 5260*i - 5263*i + 10, 0 = -3*k + 2*i + 8 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.1, 1\/3, 0.03, -6\/1657?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -2*v - 2*j + 12, 5*j - 20 = -4*v. Solve -v = -6*g + 1 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q + 9*g - 59 = -123, 7*q - 3*q - 24 = q + 3*g for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2556\/(-1836))\/71*6.\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -38 - -15 - -19 - 5*-2 - 13\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 19*j. Let y(b) = 27*b - 34*b**2 + 32*b - 59*b - 143*b**2. Calculate y(v(p)).\nAnswer: -63897*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-123)\/40)\/((-3)\/3) and -12*3\/15*(3 - (-3192)\/(-1248))?\nAnswer: 520","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 l when three letters picked without replacement from {x: 3, l: 3, n: 2, t: 1, w: 1, i: 2}.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -83*i + 12*i + 22720. Is i a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 179 - 102. Let z(f) = 32*f**2 - 21*f + 23. Calculate the remainder when j is divided by z(1).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h + 10 = -3*k, 2*k + 19 - 10 = h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence whhh when four letters picked without replacement from {w: 4, h: 5, y: 7}.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 469 = 5*i. Let l = 173 - i. List the prime factors of l.\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 24*y - 44. What is t(-8)?\nAnswer: -236","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1*0.8.\nAnswer: -0.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s**4 + 192*s**2 + 1024*s + 1536 = 0. What is s?\nAnswer: -4, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f when two letters picked without replacement from utuhtwtuttfutfwfu.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*i - 1775850377842 + 1775850377842.\nAnswer: -4*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*r**2*s**2 + 34129*r**2 - 2*r*s**2 + 128*r - 251*s**2 wrt r?\nAnswer: 4*s**2 + 68258","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1 and 66.672.\nAnswer: -66.672","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = q**3 + q**2 - 1. Let y be c(1). What is the tens digit of 3 + -3 - y*-16?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = y**2 + 5. Let z = -2 - -2. Let f be l(z). Solve 2 = 2*o + 2*o + 2*p, 5*p - 10 = -f*o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -7\/6? (a) -0.2 (b) 18 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 100 divide 15511?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1441554 (base 8) to base 9.\nAnswer: 685054","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that -10*t**5 + 105*t**4 + 37960*t**3 + 167295*t**2 - 93150*t = 0.\nAnswer: -54, -5, 0, 1\/2, 69","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -8*h*y**2 + 27*h - 4*k**3*y**2 - 76*k**3*y + k**3 - 437*k*y**2 wrt y?\nAnswer: -16*h - 8*k**3 - 874*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 0*l + 5*l - 15*l - 5*l. Let a(v) = -22*v. What is a(m(p))?\nAnswer: 330*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rcfr. Give prob of picking 1 c and 2 r.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4130 + 3?\nAnswer: 4133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*((sqrt(891) - (sqrt(891)*2 - sqrt(891)))*-3 - sqrt(891)))**2.\nAnswer: 8019","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1045092, 2090226, 3135358, 4180488, 5225616, 6270742?\n\"Answer: -o**2 + 1045137*o - 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -20\/903 and -5\/147.\nAnswer: 6321","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:14 AM and 7:36 PM?\nAnswer: 502","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -28 in -13\/3, -1\/4, 0.5, 2\/3, 12?\nAnswer: -13\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -0.9+5155100\nAnswer: 5155099.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-36 - 12) + -8 + 21 + -10?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 82 + -85. Let w(s) = -6*s**2 + 2*s + 6. Let a be w(v). Let p be 10*1*(5 + a\/10). What is the biggest value in 0.2, -3, p?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19531 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/1*1\/(-1). Let b = -2 - f. Let a = 5 + b. Solve 4*o - 2*d + 3 + 21 = 0, 8 = -a*o - 3*d for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 10\/9 in 10, 4\/5, 2.2, -3, -0.8?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -m**2 + 14*m - 11. Let b be x(13). Let k(g) = 5 + g**2 - b*g + 0*g**2 + 12*g - g. Let c(y) = -2*y - 1. Calculate -9*c(i) - 2*k(i).\nAnswer: -2*i**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -272*74.\nAnswer: -20128","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -x**3 + 2*x**2 - x + 1. Let p be f(2). Let l = -3806\/17 + 224. Which is the smallest value? (a) l (b) 2 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1309)\/102 - -12)\/(5\/(-9)).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cocolxwxlcvcwww. Give prob of sequence wcxl.\nAnswer: 8\/4095","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -553 - -1?\nAnswer: -552","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -24664 divided by 28\nAnswer: -6166\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in -2.9, 0.1, 1, -1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -3*a**3 - 5*a + 1. Let o = 9 - 6. Let i(k) = -k**3 + 9*k - 3*k + 4*k**o - 2*k - 1. Give 5*i(s) + 4*p(s).\nAnswer: 3*s**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33*b**3 - 23*b**3 + 179*b + 58*b**3.\nAnswer: 2*b**3 + 179*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 111 + -110.638. Let l = -0.062 + k. Let h = -0.56 - -0.26. Which is the biggest value? (a) l (b) h (c) -0.09\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -4*d - 8. What is p(-10)?\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 6124253 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*n**2 + 0*n**2 - 3*n**2 + 2*n**2 to y*n**2 + k + s*n and give y.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = a**3 + a**2 - 781*a + 2. Let f(n) = -n**3 + n**2 - 2*n + 2. Give -f(w) + m(w).\nAnswer: 2*w**3 - 779*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + v - 12 = 0, -3*g - 9*v = -10*v - 13. Determine p, given that 0 + 4\/13*p**2 - 6\/13*p**3 + 0*p**4 + 0*p + 2\/13*p**g = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -5*l**5 + 27*l**4 - 79*l**3 + 41*l**2 + 28*l. Let y(d) = -2*d**4 - d**3 - d**2 + 7*d. Let z(u) = -s(u) + 4*y(u). Find c such that z(c) = 0.\nAnswer: 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -c**3 + 22*c**2 - 39*c - 11. Let y be g(20). Let d = y - 9. Calculate the common denominator of d and 32\/5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*q + 29*q = 10800. What is the greatest common divisor of 10150 and q?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*b**3 - 5840*b**2 - 5839*b**2 + 17517*b**2 - 5837*b**2 + 196*b to the form l*b**2 + i*b + u*b**3 + h and give u.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by 816.\nAnswer: -5\/816","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1857*x**6 + 2*x**2 - 19.\nAnswer: -222840*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -152*h - 41925*h**2 + 796*h + 41924*h**2.\nAnswer: -h**2 + 644*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*r + 25*r - 108759 - 331977 = 0. List the prime factors of r.\nAnswer: 3, 4591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*k + 3 = 3*k, -2*t - 5*k + 833 = 0. Is t + 0\/(-6 - -4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 23244 + 18297. Is m a multiple of 61?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -69\/2758, 0.2, 2\/11 in decreasing order.\nAnswer: 0.2, 2\/11, -69\/2758","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -87 - 21 = -4*i + 5*o, 0 = -2*o. Let n = i - 12. What are the prime factors of n?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, -4\/7, -58, 5\/2, -2\/33, -4 in ascending order.\nAnswer: -58, -4, -4\/7, -2\/33, 0.5, 5\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6118 is divided by 6039.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 6135 + 126070 = 3*q, 3*m - 159910 = -4*q. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -r**3 + 7*r**2 - 6*r + 6. Let l = 4 + -34. Let c be l\/4*40\/(-50). Calculate g(c).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -4*p**3 - 5 + 2*p**3 + 10*p**2 - 3*p + 3*p**3. Let i = 14 - 24. What is the remainder when z(i) is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 16242027?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Product of 7.22 and -1609.\nAnswer: -11616.98","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 546, 1239, 2056, 2997, 4062, 5251?\n\"Answer: 62*s**2 + 507*s - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 19 = -4*c + 4, 2*s = 4*c - 18. Suppose 0 = -5*u - c + 32. Suppose -u = -z + 2. Solve -5*b - 9 - 17 = -2*i, i - b - z = 0 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -2*k - 33. Let t be d(-22). Let g be t\/30 - ((-9)\/6 - -2). Let m(h) = h**3 - 5*h**2 - h. Let o be m(5). What is the smallest value in -4, g, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f when two letters picked without replacement from {f: 7, v: 3}?\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 28415?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 981625875\/1498 - 655291. Calculate the common denominator of 51\/224 and t.\nAnswer: 23968","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -102202001 (base 3) in base 8?\nAnswer: -20560","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the second derivative of -q**5\/20 - q**4\/3 - q**3\/3 - q**2 + 32*q. Suppose -6*d - 6 = -7*d. Suppose -3*a + d = -5*a. Give s(a).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -92828*i*j**4 - 1386*i*j**3 + 2*i*j**2 - 2226*i*j - 152*i - 4*j wrt j.\nAnswer: -2227872*i*j - 8316*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 4 - 2)*(-1127*h + 1573*h - 11659*h - 4 + 4).\nAnswer: -44852*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 5*i**3 + i**2 + 3*i + 29. Determine g(-3).\nAnswer: -106","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + 0 + sqrt(200) - (sqrt(200) + sqrt(200) + -1 + 1))**2 + 4 + 5.\nAnswer: 209","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1074*g + 3316775 = 1151*g. Does 10 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 2 - 1)*(-6*c + 4 - 4)*(-1 + 3 - 4).\nAnswer: -84*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -1. Let g(p) = 2*p**2 - 111*p + 2. Calculate g(m) + 2*z(m).\nAnswer: 2*m**2 - 111*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t**4\/13 + 134*t**3\/13 - 1974*t**2\/13 + 10690*t\/13 - 19600\/13 = 0. What is t?\nAnswer: 5, 8, 49","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 43408710.0000035 + -43408694. Let q = 16 - d. Round q to 6 dps.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 180 = 12*r - 22*r. Let k(w) = -w**2 - 19*w - 18. Let i be k(r). Let b(f) = -f - 5. Calculate b(i).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -116\/3 - -38. Which is the nearest to -2\/5? (a) m (b) 1\/7 (c) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.1, 1\/2, 2\/7, 0.2, 1.4, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 6*v**3 + 58 + 3*v**2 + 207 - 16 + v**3 wrt v?\nAnswer: 21*v**2 + 6*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 157.84 + -158. What is the smallest value in z, 2\/7, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 453 minutes before 2:34 AM?\nAnswer: 7:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 27576 and 226736?\nAnswer: 2040624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -5231, -19961, -44505, -78857, -123011, -176961, -240701, -314225?\n\"Answer: f**3 - 4913*f**2 + 2*f - 321","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 217 minutes before 6:00 AM?\nAnswer: 2:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -0.18394 - -42587734\nAnswer: 42587733.81606","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, 1\/3, -206 in descending order.\nAnswer: 1\/3, 0.3, -206","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4 - -6)\/(16\/48)*3. Solve 2*a + 4*h + 2 - v = 0, 12 = a + 3*h for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 + 14 = -3*b - 2*t, 5*t - 33 = 3*b for b.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 34 is divided by 14.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -548, 6, -39, -1, 9 in ascending order.\nAnswer: -548, -39, -1, 6, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18883*z**2 - 76377*z**2 + 18996*z**2 + 18864*z**2 + 19034*z**2.\nAnswer: -600*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1\/4 (b) 5 (c) -1\/11 (d) -3 (e) 3 (f) -1.21\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 329 - 319. Does 5 divide (68\/(-12) - x\/2)*-24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -27*r**2. Let n(c) be the third derivative of 7*c**5\/60 - 507*c**2. Determine w(n(x)).\nAnswer: -1323*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-2\/3)\/f**(3\/2))**(-2\/105)*(f**(-10)\/f**8)**1 assuming f is positive.\nAnswer: f**(-5657\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -71\/16284 and -25\/4071.\nAnswer: 16284","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -i**3 - 4*i**2 + 6*i + 5. Let b be c(-5). Suppose 10 - 4 = 2*r. Solve m + b = r for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of -2*(6\/(-4))\/(-1) - -831?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.172*-0.0021\nAnswer: 0.0003612","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, k: 3, t: 6, e: 2, j: 7}. Give prob of picking 1 e and 1 t.\nAnswer: 4\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/49 in -1\/5, -5, 14, 2\/293, 3?\nAnswer: 2\/293","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 68 a factor of 94928?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*z - 51 + 60 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -129 - -138. Is 9 < n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by -2077.\nAnswer: 5\/2077","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 279 minutes after 9:44 AM?\nAnswer: 2:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -2332829 < -2332826?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Is 258367415791 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2444?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -3*m - 7. Let n(l) be the third derivative of l**4\/24 + l**3\/3 - 3*l**2. Let p(x) = 21*n(x) + 6*y(x). Let b(t) = -3*t**2. Give b(p(h)).\nAnswer: -27*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 83557 to the power of 1\/2, to the nearest integer?\nAnswer: 289","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**6)**(-3\/7))**(-13) assuming p is positive.\nAnswer: p**(234\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7516 rounded to 1 dp?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that 3*o**3 - 20787*o**2 + 36018672*o - 35997888 = 0.\nAnswer: 1, 3464","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -19, -34, -55, -76, -91, -94, -79?\n\"Answer: q**3 - 9*q**2 + 5*q - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1032 and 1209848?\nAnswer: 344","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 311*n = 317*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-18*g**3 - g**3 + 3*g**3)*(3*g - 2*g + 2*g).\nAnswer: -48*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the third derivative of 0*y**6 - 141*y**2 - 1\/210*y**7 + 0 + 0*y**3 + 0*y - 25\/8*y**4 + 11\/30*y**5. Find the second derivative of r(k) wrt k.\nAnswer: -12*k**2 + 44","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*g + g - 4*g)*(-3*g + 3*g - 2*g**4) + (4*g - 14*g - 4*g)*(-g**4 - g + g).\nAnswer: 20*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -2, 0.6.\nAnswer: -2, 0.6, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-2\/3)*m*m\/((m\/m**(-5))\/m*m*m*m))\/((((m**0\/m)\/m*m)\/m)\/m**(-4)))\/(m**(1\/14)\/(m\/m**(1\/7)))**43 assuming m is positive.\nAnswer: m**(1055\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 145\/137544 and 131\/31260.\nAnswer: 687720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -4*f**2 + 620*f - 18972. Give l(42).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1929068 rounded to four dps?\nAnswer: 0.1929","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 1693687, 1693688, 1693689, 1693690, 1693691, 1693692?\n\"Answer: r + 1693686","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.1329, -0.02, 1\/2?\nAnswer: -0.1329","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*d - 5*d + 6*d)*(-4 + 2*d + 6 + 0*d)*(-2*d + 6*d - 2*d) in the form f*d**2 + q + l*d**3 + p*d and give l.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 3*w - 19 = 2*w, -2*j + 4*w + 14 = 0. Let x be j*4*3\/15. Differentiate x - 1 + 2*y - 2 wrt y.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -6.6 (b) 0.08 (c) -4 (d) -3 (e) -2.117\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nnj when three letters picked without replacement from {g: 1, v: 3, a: 1, j: 3, n: 5, m: 5}?\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-182)\/52*(16\/(-14))\/2. Suppose -3*q = -s*j - 69 - 263, -2*j = 5*q - 564. Is q a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -n**3 + 10*n**2 - n - 55. Let a be d(8). Let x(o) = -o**2 - 3. Let h be x(3). Let l = h + a. What is the units digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 652\/10 - (-1386)\/(-630). Calculate the highest common factor of g and 4494.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 + 4 + 1)*(309 - 310 + 395*o - 82*o).\nAnswer: -626*o + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 15043?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3 - -5) + -5 - -14297. Suppose -a = -2*f - 12*f. 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 the least common multiple of 21 and 17571?\nAnswer: 122997","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2767624 and 2421671.\nAnswer: 19373368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3, -0.02, 2, -5?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.0126, -0.4, -0.2, -0.1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2978*t**2 + 1963 + t - 3707 + 93 wrt t.\nAnswer: 5956","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1730 = 283*f - 629*f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1805297050?\nAnswer: 2, 5, 36105941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -4*g**4 - 5*g**3 + 6*g**2 - 2*g. Let u(y) = -4*y**4 - 6*y**3 + 5*y**2 - 3*y. Let r(d) = -3*i(d) + 2*u(d). What is the third derivative of r(h) wrt h?\nAnswer: 96*h + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1439726 is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 5*l = -1740, 0 = 2*r + 5*l - 2118 - 1372. What are the prime factors of r?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/1)\/(-27*10\/60).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 2 (b) -5 (c) -110\/21 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 171 minutes before 3:25 AM?\nAnswer: 12:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4705463 (base 12) to base 13.\nAnswer: 2ab66a6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1524000 rounded to the nearest one hundred thousand?\nAnswer: 1500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 + 35 = -65*m - 725 for m.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qmqqqmqqqqqqq. What is prob of sequence qqm?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in nine tenths of a meter?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 4 = -10. What is the third smallest value in -1, u, -3?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by -221611939.\nAnswer: 1\/221611939","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 2 = -a, -2*q - 3*a = -5*a. What is the units digit of (-8)\/q*(-34)\/(-8)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = -4*f - 6, 6 = -g - 4*f. Let x(a) = -a**2 + 8*a - 1. Let w be x(5). Suppose 10*q - 7*q + 2 = g*z, 3*z - w = -q. Solve -4*c - 18 - q = 0 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -b920b (base 12) to base 5\nAnswer: -30301242","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -i*j**3*z**2 - 127*i*j**3*z + 3*j**3*z - 12*j*z**2 - 2*j wrt i.\nAnswer: -j**3*z**2 - 127*j**3*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -88*z**2 - 116344724*z - 15865188.\nAnswer: -4*(z + 1322099)*(22*z + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the third derivative of -c**5\/60 - 5*c**4\/12 - 7*c**3\/6 + 4*c**2. What is t(-10)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + (32 - (35 - 35)).\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1115.1 and -0.2.\nAnswer: 1114.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z - 8 = -3*k, -4*k = -z - 2*k + 12 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*d*g*m**2 - 2*d*m + 661*d + 35489*g*m**2 + 2*m**2 - 2*m wrt g?\nAnswer: -2*d*m**2 + 35489*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ergresegs. Give prob of picking 2 e.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -147956, -147957, -147958, -147959, -147960, -147961?\nAnswer: -147962","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 12386 - 1317?\nAnswer: 11069","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(170)*-2)\/sqrt(10)*2.\nAnswer: -16*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3 + (-2)\/(-4)*2. Suppose -19 = -n*t + 29. List the prime factors of t.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2606 + -950. Let c = -1173 + x. Suppose -q = -4*q + c. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -n**2 + 68. Let g(y) = 2044*y. Give g(k(t)).\nAnswer: -2044*t**2 + 138992","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2 - 527?\nAnswer: -525","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 187.2 + -168. Let k = q + -19. Let n = -5.03 - -0.03. Put k, n, 1 in ascending order.\nAnswer: n, k, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5606*f**3 + 5642*f**3 - f - 11235*f**3 + f.\nAnswer: 13*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 3802252?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -1197*p + 209. Let n = 775 - 984. Let u(t) = -23*t + 4. Determine n*u(h) + 4*v(h).\nAnswer: 19*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = k**3 + 6*k**2 + k - 3. Let m be -4 + -2 - -3 - 2. List the prime factors of t(m).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, f: 1, n: 1}. What is prob of sequence fr?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) be the second derivative of -v**3\/6 + 6803*v - 4. Let d(b) be the first derivative of 30*b**3 + 1. Determine i(d(u)).\nAnswer: -90*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 28 = 3*g - 252, 3*c - 79 = -g. Let h = g - 74. Solve h*p + 10 = -0 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -53\/57 - -5\/19. Which is the third smallest value? (a) 0 (b) n (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 894022 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -3571, -6798, -9495, -11398, -12243, -11766, -9703, -5790?\n\"Answer: 44*b**3 + b**2 - 3538*b - 78","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -1631*f - 4913. Let d be o(-23). Calculate the greatest common divisor of 16 and d.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 546379?\nAnswer: 37, 14767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 68480?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3227, 3225, 3221, 3215?\nAnswer: 3207","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 47 - -219. Suppose -4*o = -2*o - c. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10185 to the power of 1\/2, to the nearest integer?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5 - 110324?\nAnswer: -110315","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-2\/13)\/a**3)\/(a**(-4)\/(a**5\/a)) assuming a is positive.\nAnswer: a**(63\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 42\/5 of a meter?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1.01 and 3007.\nAnswer: 3037.07","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.273121nm to meters.\nAnswer: 0.000000007273121","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 1522 divide 3423379808?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = m - 27. Let d(c) = -63*c - 24. Let f(z) = 38*z + 15. Let q(n) = -5*d(n) - 8*f(n). Determine x(q(a)).\nAnswer: 11*a - 27","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 13 (b) -7 (c) 0.4 (d) 2 (e) -12\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (22 - (-9 - -40)) + 8?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6 - 2*l - 6)*(0 + 2 + 0)*(42*l + 73*l - 278*l) to the form s*l**2 + d + m*l and give s.\nAnswer: 652","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -10*b**2 + 85*b - 31. What is the remainder when 147 is divided by y(7)?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -c**3 + 5*c**2 - 2*c - 3. Let g be s(4). Suppose 2*d - g*d = h - 41, 3*d - 61 = 4*h. Does 6 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = 3*o - 9, -2*o - 15*a = -19*a - 22. Let q(v) = 9*v**2 - v - 2. Calculate q(o).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.4 (b) -0.5 (c) -3\/5 (d) -47687\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -a (base 16) in base 15?\nAnswer: -a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -29 - -56. What is the remainder when u is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 3*m**2 - 2*m - 2. Let d be b(2). Suppose -d - 12 = n. Is n at least as big as -17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the first derivative of -19*f**2\/2 + 17*f + 21. What is the tens digit of j(-6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -12*k**4 - 4*k**2 + 186*k - 3. Let o(c) = -c**4 + c**2 - c + 1. Let p(s) = 3*o(s) + x(s). What is the second derivative of p(t) wrt t?\nAnswer: -180*t**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 14*c**2 + 1. Let j be 3\/(-6)*6\/(-3). Let v(y) = -y**2 - 10*y + 15. What is the remainder when g(j) is divided by v(-11)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -459 by -7.\nAnswer: 459\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -79 minus 130377446206?\nAnswer: -130377446285","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 - (1 + 4 + -1 + -1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 322 minutes before 1:21 PM?\nAnswer: 7:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = 5*k - 125, 5*k = f - 5*f + 104. Suppose 2*j + f = -0*u + 3*u, u = -3*j + 7. Suppose 0 = 4*i - u*i + 222. List the prime factors of i.\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2407 (base 14) to base 8.\nAnswer: -14207","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000004561 to seven decimal places.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -224475 (base 9) to base 5\nAnswer: -13301103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2266*h**2 - h - 3306?\nAnswer: 4532*h - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4\/3 (b) 58\/41 (c) -0.1 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1 + 532800 - -2*3\/(-6). Round l to the nearest 100000.\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1372)*1 - sqrt(1372))\/(sqrt(16)\/sqrt(36)) + 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5998896 and 3.\nAnswer: 5998896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -86 - -36. What are the prime factors of ((-30)\/s)\/(2\/50) + 3?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (3\/(-27))\/((-35)\/126*2)\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 + -8 + (-3 + 3 - -6).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 29*d**2 + 27*d + 2. Let v be z(-8). Suppose 5*i - 28 = -13, -l - i = -v. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve u = -10*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -27? (a) 2\/21 (b) -0.63 (c) -0.0944\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ny when two letters picked without replacement from {x: 1, t: 4, n: 5, y: 1}.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 191*u - 188*u + 68 = 4*k, 3*u + 4*k = -28 for u.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 2 v when three letters picked without replacement from {b: 1, v: 2, a: 2, k: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6\/11, -6, -4954 in ascending order.\nAnswer: -4954, -6, 6\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the third derivative of 0*s**3 + 4\/35*s**7 + 62 - 49\/60*s**5 + 0*s + 0*s**4 - s**2 + 0*s**6. Find the third derivative of k(q) wrt q.\nAnswer: 576*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 427 - -44662603.\nAnswer: 44663030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = 1104*a - 1102*a - 1838, -4*a + 4 = 0. What is the greatest common divisor of 54 and d?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 15103, 15108, 15113, 15118, 15123, 15128?\nAnswer: 15133","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -2815*d - 24. Is q(-5) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -201 - -1008\/5. What is the second smallest value in 1\/2, h, 4, -70?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8.669 - -0.331. Which is the biggest value? (a) 1\/4 (b) u (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the first derivative of -200*t**3\/3 - 126*t + 92. What is the first derivative of g(z) wrt z?\nAnswer: -400*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3529892394?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:00 AM and 4:16 PM?\nAnswer: 676","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*v - 7*v. Solve v = -0*n + n - 3 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*w + 57 = 2*i, 2*w - 8417 = i - 8429 for i.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0371075307 to three decimal places.\nAnswer: 0.037","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1265925 is divided by 368.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = f**4 + f**3 - 1. Let r(y) = -2*y**4 + 7*y**3 + 15*y**2 + 6*y + 5. Let p = 38 + -37. Let t(u) = p*r(u) + 5*d(u). Factor t(v).\nAnswer: 3*v*(v + 1)**2*(v + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ett when three letters picked without replacement from thtee?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1222 + -122?\nAnswer: 1100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-12)*s*s*s**(-10\/3))\/(s**5*(s**6\/s)\/s))**(-3\/23) assuming s is positive.\nAnswer: s**(67\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i*i**(-2\/7)*(i**(-2\/13)\/i)\/i*i*i*i**1*i**(-2\/37) assuming i is positive.\nAnswer: i**(5072\/3367)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -37\/25704 and 193\/765000.\nAnswer: 16065000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3.735 - 6.3764. Round g to zero dps.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.1 (b) -0.02 (c) -419 (d) -1 (e) 0.9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 60*h**4*x + 2*h**3*x - h**2*x + h + 2*x + 22 wrt h.\nAnswer: 720*h**2*x + 12*h*x - 2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -0.06, 2\/9, 0.3, -848 in descending order.\nAnswer: 4, 0.3, 2\/9, -0.06, -848","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 10*d**2 - 21*d + 33. What is the tens digit of v(7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -u + 17. Let j be (-2 - (-2)\/6)*-12. Suppose 9 = 2*l + 3*o, -j = -5*l - 5*o - 0*o. Calculate the smallest common multiple of a(9) and l.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -32 (base 8) in base 2?\nAnswer: -11010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -2*m**2. Let g(u) = -11331947*u**2. What is g(p(r))?\nAnswer: -45327788*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 639 minutes after 10:47 AM?\nAnswer: 9:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -7480448 + 86?\nAnswer: -7480352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 63?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pqpzqpqpqqcp. What is prob of picking 1 c and 1 z?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -5*o + 3*g + 17, 4*o - 19 = -g. Solve -3*r - 5*q - 20 = 0, 3*r + 4*q + 16 = o*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -566 + 566. Let u(q) be the third derivative of -1\/240*q**6 + 0*q + 0 + 0*q**4 + 7*q**2 + z*q**5 - 1\/420*q**7 + 0*q**3. Factor u(s).\nAnswer: -s**3*(s + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -324618, -324010, -323402, -322794, -322186?\n\"Answer: 608*w - 325226","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -33 - -54. Suppose h + 3*q - k = 9, 0 = -2*q. Suppose 4*s - h = 2*s - 5*z, -5*s = -3*z - 75. Calculate the remainder when s is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 480 and 7127760.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -70, -1013, -2400, -4093, -5954?\nAnswer: -7845","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 51 + 5. Let l = -23 + 38. Calculate the remainder when f is divided by 404\/20 - 3\/l.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:33 AM and 4:12 PM?\nAnswer: 279","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -20850 by 67782.\nAnswer: -3475\/11297","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*s - 10*s - 8*s)*(-5*s + 4*s + 2*s)*(s - 14 + 14)*(s + 0 + 0)*(2 - 1 - 3).\nAnswer: 32*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5692 is divided by 52.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 23 = 3*u, 50*q = 46*q + 2*u - 14. Which is the biggest value? (a) 2 (b) 2\/5 (c) -4\/5 (d) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 3 d when four letters picked without replacement from tttddttttttdtttddtt.\nAnswer: 35\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -209 - 155. Let a = 362 + t. Is -5\/6 < a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 457633?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + ((sqrt(931) + 0)*-5 - (2*(sqrt(931) + sqrt(931) + -1))**2) + -4.\nAnswer: -14901 + 77*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 156 and 133358.\nAnswer: 10401924","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 4, n: 6, g: 9}. Give prob of picking 4 b.\nAnswer: 1\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of f**2 + 6*f**4 - 3*f**4 - 5*f**4 wrt f?\nAnswer: -48*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*s**2 - 4*s**2 - 9*s**2 + 0*s**2.\nAnswer: -5*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 734381633 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3.01 - -0.01. Let t = -3.2 - u. Let l be (-156)\/42 + 4\/1. Are l and t equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -10959.7895 and 682.\nAnswer: -10277.7895","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-15)\/60*-2*5 - 2. What is the fourth biggest value in 1\/6, -0.5, d, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 117 = 6*s. Let h = 5 - s. What is the hundreds digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cgt when three letters picked without replacement from {t: 6, c: 1, v: 3, g: 9}?\nAnswer: 3\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5.953 + 5.95306726. Round f to five dps.\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13 divided by 8\nAnswer: 13\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-4)\/6)\/(12\/9). What is the closest to -0.05 in -1\/3, -2\/13, d?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8602 (base 11) to base 14.\nAnswer: 4208","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -3*c, -5*w - 5*c + 301498 = -153477. Round w to the nearest 10000.\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -108 - -110. Sort -23, 1, 4, h in descending order.\nAnswer: 4, h, 1, -23","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 1, s: 3, o: 1}. What is prob of sequence saao?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + -3*sqrt(176)*-6.\nAnswer: -2 + 72*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -667558, -667556, -667554, -667552?\n\"Answer: 2*v - 667560","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 98250 and 1572?\nAnswer: 786","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 146 + 3234\nAnswer: 3380","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g = -3*x + 4 + 4, 4*g + 8 = -5*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = t - 370, 3*t = 4*y + 8*t - 1477. List the prime factors of y.\nAnswer: 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(3*-1*sqrt(68) - (sqrt(68) + sqrt(68) + (sqrt(68) + 2)*5)) + (-2*(sqrt(68) + -2*sqrt(68)) - (0 + sqrt(68)*6)))**2.\nAnswer: 560*sqrt(17) + 13428","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*p - 114 + 2 = 0. Suppose j + 1533 = 4*l, 0 = -p*l + 16*l - j - 765. What is the remainder when l is divided by 55?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(156) - (2*sqrt(156) + sqrt(156) + sqrt(156))) + sqrt(156))*5)\/sqrt(12).\nAnswer: -10*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3295222347?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20380 = -23*g + 37028. Does 96 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*j**2 + 11*j**2 - 2*j**2.\nAnswer: 17*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5\/(-260))\/((-20)\/80).\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1207, 1202, 1183, 1144, 1079, 982?\nAnswer: 847","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44*y**4\/9 + 2516*y**3\/9 - 6376960*y**2\/9 - 354227200*y\/3 + 118784000 = 0. What is y?\nAnswer: -240, 1, 4640\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1242 - -1245. Let n be (3 - (-4 - (-2 - 4)))*5. Solve g + 3 = -4*c, -n*c + w*c + 4*g - 24 = 0 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 v when two letters picked without replacement from qcvsv?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 169344\/(-45696)*(-68)\/4?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -111 (base 12) in base 16?\nAnswer: -9d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is de2a - -34?\nAnswer: de5e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 2\/7, 1\/5, -604, -1, -31?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -80469, -161026, -241583, -322140, -402697?\nAnswer: -483254","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rlrcrhlclcrrhcccrh. What is prob of sequence rlrl?\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-15 + (-56)\/8)\/(-2)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1430159 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 1491a (base 11) to base 12\nAnswer: 10243","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3 + -3. Let a(g) = 61*g**2 + 9*g + 11. Let h be a(-1). Suppose p = -3*m + 4*x - x + h, 2*x = -5*m + 133. What is the tens digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -2*l. Let n(j) = 2*j**2 + 16. Let o(h) = -7 + 8*h - 5 + 4 - 21. Let s be o(5). Let y(v) = 6*v**2 + 48. Let g(q) = s*n(q) - 4*y(q). Give g(m(b)).\nAnswer: -8*b**2 - 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 88 + -60. Suppose 33*w = k*w - 340. Calculate the common denominator of (-242)\/w + (-24)\/6 and 65\/12.\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 74020?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 37, 49, 83, 139, 217, 317?\nAnswer: 439","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 159*a + 318*a - 163*a.\nAnswer: -4*a - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -2*o + 6. Calculate the remainder when n(-6) is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -b**2 - b + 7. Give r(-3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - d - 2980 = y, -d + 745 = -y. Let u = -528 + d. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 3, l: 2, w: 2, s: 1, a: 4, m: 3}. Give prob of picking 1 l and 1 a.\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -3590 bigger than -491790\/137?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*w + 12*w = 4*o - 6, 4*w = -3*o + 37. Calculate the greatest common divisor of 1781 and w.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3 + 5. Suppose -3*p = n*p + 20. Let f = 5 + p. Is f at most 0.3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the second derivative of g**4\/6 - 5*g**3\/6 - 21*g**2 - 119*g. Let r(b) be the first derivative of v(b). Let y(n) = 3*n - 4. Give 6*r(u) - 7*y(u).\nAnswer: 3*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 359*w**3 - 25*w**2 + 218*w + 21. Let n(m) = -90*m**3 + 6*m**2 - 52*m - 5. Give 25*n(z) + 6*t(z).\nAnswer: -96*z**3 + 8*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*y**2 + 8*y**2 + 10*y - 18*y**2 - 7 + 6*y**2 to the form d + b*y + a*y**2 and give b.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0, -0.020275, -2, 2, 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16478*-0.3.\nAnswer: 4943.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 46 minus -0.0258997?\nAnswer: 46.0258997","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.5, -27, 13994.26?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 15, -619, 13 in ascending order.\nAnswer: -619, 13, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*m**2 + 6*m**2 + 6*m - 2*m + m**2.\nAnswer: 9*m**2 + 4*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ii when two letters picked without replacement from {w: 14, i: 5}?\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*z**3 - 3*z**3 + 3*z**3)*(3*z**2 + 0*z**2 - 5*z**2) - 3*z**5 - 2*z**5 + 10*z**5.\nAnswer: 9*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3535341*s**3 - 1045252*s**2 - 4?\nAnswer: -21212046","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 0 + 15 = 0. Suppose b*h + 31 = 91. Let t = 10 + h. Calculate the remainder when t is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lz when two letters picked without replacement from {p: 7, z: 1, y: 2, l: 2, k: 1, n: 6}?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5\/2, -22\/53, 0.044, -2 in decreasing order.\nAnswer: 5\/2, 0.044, -22\/53, -2","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v**(-8)*v)**(-2\/45)\/(v**(1\/7)\/(v**(5\/8)*v)) assuming v is positive.\nAnswer: v**(1469\/840)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 78 and 1872.\nAnswer: 1872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2060\/8034)\/((-30)\/9)?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + 5 + -5 + 4 + 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 (base 14) in base 16?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 2, l: 4, g: 2}. Give prob of sequence glll.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.74724569 rounded to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-13 + 18)*(-16)\/(-10). What is the nearest to h in 4, 0.4, 5\/4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -2*t + 11. Let m be h(11). Let q(k) = 24*k + 70. Let y(i) = -10*i - 34. Let v(z) = -2*q(z) - 5*y(z). Let d be v(m). Solve -3*x - d = x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1611 + 1f?\nAnswer: -15f2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - m - 10 = 0, 26 = q - 3*m. Suppose 3*g - 25 = 14. Solve -5*n - g = 2*t, 2*t + 4*n = t - q for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 89975?\nAnswer: 5, 59, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 3, y: 1, b: 4}. Give prob of sequence rbbb.\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 53 = -5*w, 0*g + 3*g + 4*w - 55 = 0. Let x(p) = -p**2 + p - 13. Let r be x(0). Let d = r + g. List the prime factors of d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*q + 6*q - q)*(0*q - q + 2*q) - 410*q**2 + 821*q**2 - 391*q**2.\nAnswer: 22*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*t**4 + 51*t**3 - 12*t**2 = 0. Calculate t.\nAnswer: 0, 1\/4, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7533\/8910 + 12\/(-22) - (-62)\/(-340)?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 236 minutes after 10:59 PM?\nAnswer: 2:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 11\/9 + 16\/(-72). Let v be (u - (3 - 2)) + 240. Suppose 0 = 7*o - 107 - 229. What is the greatest common factor of v and o?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3.8107 * -0.4.\nAnswer: -1.52428","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 69\/2 of a litre in millilitres?\nAnswer: 34500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 563.332 nanograms to micrograms.\nAnswer: 0.563332","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(1\/3)\/w*w**14 assuming w is positive.\nAnswer: w**(40\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 863797658 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 297 or 824?\nAnswer: 824","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -177279\/16 - -11084. Let m = 65997\/10 - 6588. Find the common denominator of v and m.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2170749?\nAnswer: 3, 7, 14767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 707 minutes before 2:27 AM?\nAnswer: 2:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/681? (a) -3 (b) 0.4 (c) -515.2 (d) -5 (e) 24\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -2*z**3 + 45*z**2 + 22*z + 306. Determine m(24).\nAnswer: -894","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - s = -4, -5*j + 4*s = -176. Calculate the lowest common multiple of 36 and j.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 77198?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:02 AM and 9:30 AM?\nAnswer: 388","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1693 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: What is next in -9, -68, -179, -342, -557?\nAnswer: -824","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the third derivative of o**7\/315 + o**6\/45 - o**5\/90 - 4*o**4\/9 - 4*o**3\/3 - o**2 - 7*o. Find f, given that y(f) = 0.\nAnswer: -3, -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = -3*j - 9, 0*i = -4*j + 3*i - 5. Let d be j\/8*(-7 - -3). Let t be d*5*(-2)\/(-70). Sort -5, 23, t.\nAnswer: -5, t, 23","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((1 + (sqrt(147) - (sqrt(147) + 1)) + 5)**2 + (sqrt(147) - (4*sqrt(147) - sqrt(147))) + 0 + -3).\nAnswer: -42*sqrt(3) + 66","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 286158 equal to 286189?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -cb - 5?\nAnswer: -d1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w, 2 v, and 1 i when four letters picked without replacement from ivikkkwvivvvkiv.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -n**2 - 6*n - 6. Suppose -8 = 2*i - 0. Let f be c(i). Find the third derivative of 28*u**3 + 3*u**5 - 28*u**3 + 2*u**f wrt u.\nAnswer: 180*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 7, t: 2}. Give prob of sequence tntn.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 4*u = 5. What is the smallest common multiple of u and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.5 (b) 0.11 (c) -18 (d) 28 (e) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 2*i - 7. Suppose -2 = 3*o + 5*l - 3, o + 18 = i*l. Is o less than -8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 425758?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 93182 divided by 48\nAnswer: 46591\/24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dd when two letters picked without replacement from kdkkkkdk?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = 4*n - 2*m - 2*m, -m = -2*n - 4. Solve h + 0 - 1 = n for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10 + -200200111212021100?\nAnswer: -200200111212021110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1 - 1. Let w(g) be the first derivative of 23*g**3\/3 + g**2 + 4*g + 328. Does 20 divide w(s)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 2*x - 12. Calculate q(0).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.164 + -0.231. Let a = n - -14.167. Let i = a + -7.5. What is i rounded to zero decimal places?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1916978 a multiple of 49?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6 - -3. Does 25 divide (-2 + 1)*(t - 70)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 9 + -7. Let d = -1 - y. Which is the nearest to -2\/3? (a) 1 (b) 5 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of ((-6)\/14 - 18280\/(-56)) + -4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 1, 2\/5, 3\/17, -3, 1459.\nAnswer: -3, 3\/17, 2\/5, 1, 3, 1459","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 3*w**3 - 2*w**2 + 2*w - 1. Let m be j(1). Suppose 0 = -2*y + 6*y - 16. What is the derivative of -y*p**2 - 1 + 4*p**m + 3*p**4 wrt p?\nAnswer: 12*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (28 + -4 - 15) + (50 - 2 - (-28 + 30))?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 112 a factor of 81388944?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jj when two letters picked without replacement from jjdjqjdjdjdjjjjdjjjq.\nAnswer: 39\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -0.0822, 77.4, -39?\nAnswer: -0.0822","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 166.\nAnswer: 2, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -122*a + 104*a - 332*a - 15.\nAnswer: -350*a - 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -c**2. Let a(r) be the first derivative of -3*r**2\/2 - 6. What is h(a(y))?\nAnswer: -9*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/(-5)*6\/(-21)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 55683, 57689, 59695?\n\"Answer: 2006*x + 53677","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 217480 (base 10) to base 9\nAnswer: 361284","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(2\/7)\/k)**(-7\/2)\/(k*((k**(-2\/7)\/k)\/k)\/k)**(-15\/7))\/(((k\/((k*k*k**(-4))\/k))\/k)\/k**(-2\/7))**(-29) assuming k is positive.\nAnswer: k**(9103\/98)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 2*u = 0. Let p be (-2)\/24*40\/15. What is the closest to 2\/5 in -1\/4, u, p?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (25 - (-10 + 14 + 7)) + 17?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b + 9362 - 4640 = 4632 for b.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -5 - 4618484?\nAnswer: -4618489","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0 - -3. Suppose -a*q - 32 = -4*k, -5*q - 26 = -k - 1. Solve -k*r = 2*o - 2 + 13, 0 = -5*r - 5*o - 20 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1 + 0. Let m be -5*(-1)\/(-1) + 57\/12. Which is the nearest to 0.1? (a) l (b) -1\/2 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o**4\/7 + 1306*o**3\/7 + 278000*o**2\/7 + 19125000*o\/7 = 0. Calculate o.\nAnswer: -250, -153, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mxtt when four letters picked without replacement from jbbbbbamxambtbxtbjt?\nAnswer: 1\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the first derivative of h**3 + 25*h**2 + 456*h + 293. What is the first derivative of s(w) wrt w?\nAnswer: 6*w + 50","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -g**3 + 3*g**2 + g. Let k be j(3). Suppose x = -4*r - 14, -r - 3*x - 8 = 1. Is (-2)\/k - 425\/r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x**2 + 5*x + 4. Let b be p(-4). Suppose 5*y - m = -26, 2*m + 18 + 5 = -5*y. Put y, b, -4 in decreasing order.\nAnswer: b, -4, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w - 5*g = -5*w + 10, w - 4*g + 7 = 0. Suppose u + 24 = 2*u + w*p, 0 = -2*u - 5*p + 28. Let n = -3 + 7. What is the greatest common factor of n and u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 7 + 3*g - 7. Let t(v) be the third derivative of v**4\/24 + 2*v**2. What is t(z(u))?\nAnswer: 3*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (0 - -4)\/(9\/(-162)). Let z = s - -76. What is the greatest common factor of 40 and z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(360)\/sqrt(32))\/sqrt(9).\nAnswer: sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -136.7 + 137. Let y be (1 - (-3)\/(-5))*-5. Which is the third biggest value? (a) h (b) -5 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 74 a factor of 539133660?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 144708 and 118256?\nAnswer: 1556","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -2*a - 1. Suppose 4*p - 10 = -2. Let f(x) = -4*x - 3. Let h(q) = p*f(q) - 5*t(q). Give h(-2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 13, x: 3}. What is prob of sequence fff?\nAnswer: 143\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -4*r + 19*r - 12 + r**2 + 0*r**2 - 9*r. Let m be q(-8). Suppose m*f + 6*l - 5*l + 12 = 0, -l = 2*f + 8. Which is greater: f or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -111 (base 2) to base 6.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 42\/5 of a millimeter in micrometers?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8190137?\nAnswer: 1091, 7507","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, 145, 1 in increasing order.\nAnswer: 1, 6, 145","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 14595616 and 23184?\nAnswer: 2576","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.63223 to one decimal place.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 3, v: 3}. What is prob of sequence qvv?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 10296.71 - 10692. What is p rounded to the nearest 10?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the second derivative of f**4\/12 - 8*f**3\/3 + 21*f**2 + 2230*f. Give l(5).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eccee. Give prob of sequence eecc.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3 + -1 + -5 + 2. Let m be (1 - 7\/(-3))*(-540)\/7650. Is m < z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 29\/209 and -7\/8.\nAnswer: 1672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-4)\/(-6))\/(46\/20217) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -21 + 13. Let m = 11 + h. Put -2, -1, m in decreasing order.\nAnswer: m, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u*u**5)**(-11\/2) assuming u is positive.\nAnswer: u**(-77\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the first derivative of 4*q**3\/3 + 9*q**2\/2 - q + 1. Let z be 25800\/6364 + 2\/(-37) - 7. Give g(z).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q and 1 x when three letters picked without replacement from xkjqdkydxdjkdxxjq.\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*l**2 - 2*l**2 - 6*l**2 as z*l**2 + w + k*l and give z.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4)\/18 - (-31240)\/(-198). Let p = 170 + j. Calculate the lowest common multiple of p and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4527 to the power of 1\/4, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -45, 5, 3\/7, 2?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1085*a - 918*a + 1 + 292*a to the form m + u*a and give u.\nAnswer: -1711","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out 551 * 5.8.\nAnswer: 3195.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the third derivative of k**7\/1008 - 53*k**5\/60 - 63*k**2 + 1. Let p(n) be the third derivative of l(n). What is p(5)?\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7158.987 micrometers to nanometers.\nAnswer: 7158987","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 88770 and 4470.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -215 + 315. What is the remainder when g is divided by 306\/(-27)*3*-1?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 13.723759 to zero dps.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6342, -6349, -6356?\nAnswer: -6363","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*v + 274 - 24. Calculate the highest common divisor of 25 and v.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -443389 or -443390?\nAnswer: -443390","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*o**2 + 3*o**2 - 5*o**2)*(0*o + o + 0*o) + 2*o**2 - 2*o**2 - o**3 + 23*o**3 - 47*o**3 + 27*o**3 + 1555*o + 1280*o.\nAnswer: 4*o**3 + 2835*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) be the third derivative of -g**5\/30 + g**2. Let a(v) be the third derivative of -v**4\/12 - 2*v**2. Determine a(t(j)).\nAnswer: 4*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3 + -40101?\nAnswer: -40104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -l**2. Let p(k) be the first derivative of -3844*k**3\/3 + 1074. What is g(p(u))?\nAnswer: -14776336*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6600 and 90.\nAnswer: 19800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 14571*l**2 - 3776*l - 11. Let d(c) = -4862*c**2 + 1258*c + 4. Let b(w) = -11*d(w) - 4*s(w). Find the second derivative of b(g) wrt g.\nAnswer: -9604","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + 6*(sqrt(275) + 3 + sqrt(275)))*6 - (-5*(sqrt(275)*1 - sqrt(275))**2 + sqrt(275) - (sqrt(275) - (4 + sqrt(275) + 4))).\nAnswer: 130 + 355*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 130042031 (base 5) to base 12.\nAnswer: 26335a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3 and 5664303.\nAnswer: 5664303","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 11 - (-3 - (23 + -28))\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 3*r - 23. What is h(7)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-6 - 2)\/(0 - 1). Find the second derivative of a + 2*q**5 - 3*q - 8 wrt q.\nAnswer: 40*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -58*-0.2.\nAnswer: 11.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -f - 37b09?\nAnswer: -37b18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the first derivative of 19*q**4\/4 + 13*q**3\/3 + 13*q**2\/2 - 15*q - 57. Let u(r) = 9*r**3 + 6*r**2 + 6*r - 7. What is -6*a(m) + 13*u(m)?\nAnswer: 3*m**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 72859 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -38, -32, -18, 10, 58?\nAnswer: 132","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*l - 8 - 8. Suppose -4*u = -3*x + x + 26, 4*u + 35 = 5*x. Which is the second biggest value? (a) u (b) l (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -129082282 * 0.3.\nAnswer: -38724684.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -66*d - 1333. Calculate u(-17).\nAnswer: -211","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 bigger than -4\/106657?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4032638?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000372349546 rounded to seven decimal places?\nAnswer: 0.0000037","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -69*w - 58 = 839. Let f(m) = m - 5. Let v(r) = -3*r + 11. Give w*f(y) - 6*v(y).\nAnswer: 5*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -r**3 + 162*r**4 + 166*r**4 - 5*r - 329*r**4 - 2*r**2 - 7 + 3*r as c*r + w*r**3 + z + u*r**4 + b*r**2 and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*n = 36, 1464*z - 1462*z = 3*n - 114 for z.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -203 = -2*t + c + 96, t = 2*c + 142. List the prime factors of t.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = -4*l + 200 - 50, 0 = 3*n - 5*l - 467. Suppose -4*z + n = 3*r, 0*z + 4*z = 3*r - 146. What is the units digit of r?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7729026.\nAnswer: 2, 3, 1288171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -240, -377, -514?\nAnswer: -651","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1364399 to the nearest integer?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 10 - 8. Suppose -3*d = -z - 34. What are the prime factors of d?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-h - h + 3*h)*(0 + 3 - 2) + 3 + 5*h - 3 + (5 - 4 + 5)*(-3*h + 6*h - 4*h) + h + 0 + 0 to r + f*h and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by 1285266.\nAnswer: -1\/1285266","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 14 + -4. Which is greater: i or 0.1?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 110 and 290?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4856 + -2839. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5439420 and 8340444?\nAnswer: 125106660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3276447 and 0.1.\nAnswer: -327644.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6781 is divided by 556?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is d + -a?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -130 = 2*u - 5*u - 12*x + 10*x, -3*x = 11*u - 455 for u.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(204)*-4)\/((-5*(sqrt(3) - 2*sqrt(3)) - sqrt(3)) + sqrt(15)\/(-1*sqrt(5))).\nAnswer: -8*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -240 - 364297?\nAnswer: -364537","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 3*q**2. Let f be l(-2). Suppose 0 = 3*o - 2*c - 4, 6*o - 4*c - 2 = 3*o. Let s be -2 + (-3 + o - -6). Solve -3*n - s = -f for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 25*r - 68. Let x(u) be the third derivative of 73*u**4\/24 - 205*u**3\/6 - 14*u**2. Let y(m) = 8*n(m) - 3*x(m). Differentiate y(q) wrt q.\nAnswer: -19","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2262 - 32462?\nAnswer: -34744","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2.5 - 2. Let z(l) = l**2 + 4*l + 4. Let c be z(-4). Suppose -8 = -0*g - c*g. What is the smallest value in q, g, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/(t**(1\/33)*t))**(-2\/39)*t**(-1\/10)*t\/(t*t**(3\/10)))**(5\/4) assuming t is positive.\nAnswer: t**(-641\/1287)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y when two letters picked without replacement from kkvvkyyykvvvyv?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 143603901 a multiple of 1401?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*-2*sqrt(196) + sqrt(196))\/(3*sqrt(700)*4))**2.\nAnswer: 63\/400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -l**3 + 8*l**2 - 7*l - 6. Let q be x(7). Let t be (q\/(-9))\/(2\/9). Suppose -24 = -t*p + p. Calculate the remainder when p is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:18 AM and 6:07 AM?\nAnswer: 289","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -63\/920 and -71\/14?\nAnswer: 6440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 7*z + 36 = 0. Let h(q) = q**3 + 10*q**2 - 11*q - 13. Let m be h(z). Let g = 247 + m. What is the units digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the third derivative of -f**5\/60 + f**4\/8 + 7*f**3\/3 - 7*f**2 - 3*f. What is the remainder when 193 is divided by j(0)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 200, 403, 614, 833, 1060?\n\"Answer: 4*m**2 + 191*m + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -7 - 4*15\/(-5). Which is the nearest to 0.2? (a) -0.5 (b) -3\/4 (c) 15 (d) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4, -437, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -k - 3. Let f be b(-2). Let l be 2\/(12\/9*2\/(-16)). Let a(s) = s + 5. Let q be a(l). What is the closest to 2\/5 in q, 3, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1 + -11417?\nAnswer: -11416","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.1 - -0.9. Let m = -7 - -5. Suppose 150 = 17*f - 47*f. Which is the second biggest value? (a) f (b) s (c) 0.5 (d) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4 (b) -3.7 (c) -3 (d) 2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2 - 1\/((-2)\/380). Suppose -2*r + c = -142. What is the tens digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -339780 divided by 3?\nAnswer: -113260","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -28*m - 2. Let a(i) = 435*i. What is k(a(j))?\nAnswer: -12180*j - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 6 = 4. What is the fourth smallest value in 3, -2\/5, k, 7\/2?\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = i**3 - 2*i**2 + 12*i - 2. Let g(p) = -2*p**3 + 3*p**2 - 23*p + 3. Let n(a) = 6*g(a) + 11*r(a). Let q be n(-4). Solve 0*s = -4*s + q for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the second derivative of 11*v**4\/12 + v**3\/3 + 11*v**2\/2 - 67*v + 1. Let k(h) = 2072 - 2068 + h + 2*h**2 + 2*h**2. What is 3*g(w) - 8*k(w)?\nAnswer: w**2 - 2*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6496 divided by 5.\nAnswer: -6496\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -d + 0*d - 2 + 2*d + 16*d**2 to g*d + k + h*d**2 and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 23186154 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2.19 + -2. Which is the closest to y? (a) -5 (b) 5\/2 (c) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 (base 12) to base 15\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -t**2 - 5*t - 6.\nAnswer: -(t + 2)*(t + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 5602862037 a multiple of 3385?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 34.3 + -55. What is o rounded to zero dps?\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the second derivative of 6*k**3 + k. Let r(y) = -11*y + 624. Let l(n) = 4*n - 234. Let v(b) = -8*l(b) - 3*r(b). Calculate v(u(g)).\nAnswer: 36*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 68*b - 50. Let m(d) = 14*d - 19 + 6 + 3. Let x(i) = 14*m(i) - 3*w(i). Let o(t) = t - 1. Determine 6*o(z) + x(z).\nAnswer: -2*z + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2193, -4375, -6547, -8703, -10837, -12943?\nAnswer: -15015","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 65704 = 972*x - 8881 - 30594 + 19643 for x.\nAnswer: 88","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -840 + 878 - (0 - -1 - -10)?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -6*l**3 - 11*l - 16. Let v(g) = -g**3 - 2*g - 3. Let t = -15 + 17. Let m(k) = t*b(k) - 11*v(k). What is m(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5105 + -3?\nAnswer: 5102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 203 minutes before 11:03 AM?\nAnswer: 7:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 56\/(-616)*(-457 - -6)\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 137 + -157.2. Let k = n - -20. Let p = 11 - 7. Which is the biggest value? (a) -4\/5 (b) p (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 71\/3 and 53\/660?\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((4\/6 + -1)\/(-5))\/((-910)\/8190)?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((6 - 26) + 25)\/1. Suppose 0*d + 6 = 3*d. Solve -h*b = -5*m - 4 - 6, d*b = -5*m - 3 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -4*c**3 + 5. Let m = -3 + 8. Let f(i) = -6*i**3 + 7. What is m*f(k) - 7*o(k)?\nAnswer: -2*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out -40 * -4446019.\nAnswer: 177840760","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 1, 8 in decreasing order.\nAnswer: 8, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -2*z**2 - 3*z. Let x be j(-2). Let d(o) = o**3 - 28*o**2 + 4*o - 74. Let f be d(28). Let r(c) = c**3 - f*c**2 - 39*c**2 + 78*c**2. Determine r(x).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 78758.86 decades?\nAnswer: 7875.886","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-48)\/132)\/((-39330)\/3795).\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2 + -2. Let u(a) = -a + 9. Let n be u(-4). Let r = n + -12. Solve -3 = v - 3*g + r, d = 3*g for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 3*g + 3. Let r(p) = p + 1. Let k(d) = -14*r(d) + 4*x(d). Let f(q) = q - 12. Let i be f(10). What is k(i)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 154850 and 12028748?\nAnswer: 300718700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(2\/3)\/h)\/(h\/(h\/(h*h**(-2\/11)*h))*h)*h*h**(-2\/41)*(h*h*h**19\/h*h)\/h assuming h is positive.\nAnswer: h**(24083\/1353)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 80.01861 millilitres?\nAnswer: 0.08001861","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*h - h - h)*(4 - 1 - 6)*(-5 + 1 - h + 1) to a*h + d + x*h**2 and give a.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1273\/6 - -210. Find the common denominator of y and 1\/(((-60)\/(-249))\/2).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:10 AM and 5:45 AM?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 198820*j + 10935100. What is c(-55)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 1194339 = 3*h, 5*h - 2069834 = 5*n - 79269. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 21*p**2 - 23*p**5 + 5 + 13*p**5 - 5 wrt p.\nAnswer: -600*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q + 16 = -q + j, 2*q = j + 2 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5379*q + 5556*q - 10937*q.\nAnswer: -2*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 6600497, 6600499, 6600503, 6600509, 6600517?\n\"Answer: v**2 - v + 6600497","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = -293 - 1078. What are the prime factors of y?\nAnswer: 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 5*o + 8. Let b(a) = 27*a + 38. Let v(l) = -2*b(l) + 11*d(l). Let k be (0 - 5)\/(15\/18). Give v(k).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(-2*sqrt(171) + 2 + (sqrt(171) - (1 + sqrt(171)))*-2 + 0 - (4*1*sqrt(171) + 5)*1))**2.\nAnswer: 36*sqrt(19) + 6157","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -f + 2*f + 2*d + 11, -10 = 5*f - 5*d for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 - (-5 + 10 + -5 - -5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, j: 3, i: 1}. Give prob of sequence ij.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.3, 11, -114338?\nAnswer: -114338","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Express (849*b - 72 + 7 - 792*b)*(0*b**3 + b**3 - 3*b**3) as w*b**2 + q*b**3 + a*b + c + r*b**4 and give q.\nAnswer: 130","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 9*z + 5. Let q be h(4). Let j = 8575 + -8532. Is q smaller than j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/24 of a minute in milliseconds?\nAnswer: 2500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 11 - 6. What is the smallest common multiple of z and 6 + (-7)\/((-21)\/(-6))?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*x - 3*g + 10, 0*x + 5*g - 4 = 3*x. Let a be (0\/(-2))\/x - -2. Let r(s) = -s**3 + 4 - 1 + 3*s**3 - 3*s**3 - 2*s. What is r(a)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 100, 146, 190, 232, 272, 310, 346?\n\"Answer: -k**2 + 49*k + 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 0 = -29577539?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a**(-13)*a*a**18\/a)\/((a\/a**(-3\/4)*a*a)\/a)**(28\/3))**(-7\/9) assuming a is positive.\nAnswer: a**(413\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -3*p**2. Let r(u) = -189*u. Determine r(j(a)).\nAnswer: 567*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*j - 6*j - 888 = 0. Let -70*t**3 + 2*t**2 - 2*t**2 + j*t**3 - 4*t**2 = 0. Calculate t.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = q - 2 - 1 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -43.57811799 rounded to 3 decimal places?\nAnswer: -43.578","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 87*z + 5*x + 7 = 84*z, 4*z = -3*x - 13 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (16 - -15 - 2) + 26 + -46\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3 - -96609?\nAnswer: 96606","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -94*a**3*r**3*w**3 + a**2*r - 8*a*r**3*w**2 + 3*r**2*w**3 wrt a?\nAnswer: -564*r**3*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 10123 (base 4) to base 14\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/6)\/((-352)\/(-128))*-9\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 1, d: 7}. Give prob of sequence ddh.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.414034 + -6.414034. Let w = -15\/8 - -29\/16. Which is the third smallest value? (a) g (b) w (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 x when two letters picked without replacement from bxbxxxbbbbxbbb.\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 3 - 3)*(-12342 - 949*y**4 + 12342).\nAnswer: 8541*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -47 + 3222?\nAnswer: 3175","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Are -1166038 and -1166037 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 1202 (base 3) to base 8\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 60*n - 58*n + 0*q - 106 = 3*q, -36*q = n - 42*q - 197 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1504?\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 72.4744728 rounded to 0 decimal places?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-4968)\/(-30) - -12)*(-40)\/(-6). Suppose q = 5*s + 2*b, -b = -5*s + 2*s + 706. List the prime factors of s.\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1553569 + 135578 = 2*d - 3*l, -5*d = 2*l + 3545006. Round d to the nearest ten thousand.\nAnswer: -710000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 17*a + 294. What is b(-22)?\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = 4 - 59. Suppose 2*m + 8 + 2 = 0. Let z = b + m. Calculate the remainder when 22 is divided by z.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14*k**2 + 75 - 75)*(101*k**2 - 144 + 144).\nAnswer: -1414*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 22*y - 66. Let m(w) = 42*w - 133. Let l(b) = 3*m(b) - 5*p(b). Let r be l(5). Solve 4*d + 3 - r = 0 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -170*q + 186 = -169*q. Calculate the remainder when q is divided by 27.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 17 = 4*k, 3*r + 0*r = -4*k - 25. Let c be (r + -1)\/(10\/(-25)). Suppose 40 = 4*p - c. What are the prime factors of p?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -227, -899, -1923, -3215, -4691?\n\"Answer: 14*d**3 - 260*d**2 + 10*d + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 858.2523 years?\nAnswer: 8.582523","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the third derivative of -119*p**5\/60 + p**4\/6 + p**3\/6 - 4*p**2 - 17*p. Find the second derivative of d(b) wrt b.\nAnswer: -238","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 55\/18896 and 157\/20640?\nAnswer: 24375840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3859 + 2458 - 8*p**2 + p**2 + 5*p**2.\nAnswer: -2*p**2 + 6317","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -32045 + 32028. Put j, 4, 129 in increasing order.\nAnswer: j, 4, 129","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 8*x**3 + x**2 + 4*x + 4. Let i(z) be the first derivative of -9*z**4\/4 - 3*z**2\/2 - 3*z - 2513. Determine 4*i(u) + 3*v(u).\nAnswer: -12*u**3 + 3*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -w**2 + 2*w - 1. Let a(b) = b**3 + 5*b**2 - 16*b + 8. Let c(l) = -a(l) - 4*t(l). What is the second derivative of c(p) wrt p?\nAnswer: -6*p - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12*(-3 + (-45)\/(-12))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15*c + 8*c - 10*c)*(4*c - 2*c - c)*(0 + 0 - c**2 + c**2 + 3*c - 3*c + (3 - 3 - c)*(0*c + 3*c - 4*c)).\nAnswer: 13*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ataaaaaata. Give prob of sequence aatt.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h + a = 1, 32*h + 9 = 44*h + 5*a for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 3*k**2 + 6*k + 12. Suppose 0*u + u = -4. Let i = 1 - -18. What is the remainder when n(u) is divided by i?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**3)**(-1\/31)\/((s\/(s*s*s**8)*s)\/(s\/(s*s\/s**(-1\/11))*s)) assuming s is positive.\nAnswer: s**(2664\/341)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*d**4\/7 + 592*d**3\/7 - 65712*d**2\/7 + 3241792*d\/7 - 59973152\/7 = 0. Calculate d.\nAnswer: 74","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1771?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 80 and 534096?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1211 and -0.16?\nAnswer: 193.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-32 - 20)\/13*785\/(-4). Calculate the greatest common divisor of 2041 and w.\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 109587?\nAnswer: 3, 36529","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2 + 6)*(-q + 1 + 3*q - 5).\nAnswer: 6*q - 12","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 78 + -31 + -44 + 2 + (35 - -1)?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 689 not equal to 2\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/(-12) - -4*1\/6?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-2\/5)*i)**(6\/5) assuming i is positive.\nAnswer: i**(18\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*b + 1819*b**2 + 1810*b**2 - 3658*b**2.\nAnswer: -29*b**2 - 6*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:11 PM and 5:10 AM?\nAnswer: 539","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.190774, -2\/47, 6 in descending order.\nAnswer: 6, -2\/47, -0.190774","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hh when two letters picked without replacement from {h: 3, v: 1, x: 6, b: 4, z: 1}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -46*q + 35*q + 11 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -313182*x - 16285460. Calculate g(-52).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 0*a = -32. Let y be (3048\/(-32))\/(2\/a). Suppose 216 = -6*i + y. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6676.187988 rounded to 1 dp?\nAnswer: 6676.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from imiiiiimi. Give prob of sequence imm.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 3, i: 4}. Give prob of picking 3 r and 1 i.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -1993082, -7972327, -17937734, -31889303, -49827034?\n\"Answer: -1993081*t**2 - 2*t + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the second derivative of b**5\/20 - b**4 + 14*b**3\/3 - 17*b**2\/2 + b + 105. What is o(9)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -5*i + 10. Suppose 5 = 2*q + 5*o - 18, 5*q = -i*o + 35. Let t(d) = 36*d**3 - 4*d**2 - 5*d + 1. Is t(q) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1275?\nAnswer: 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 1200, 1110, 1020?\n\"Answer: -90*g + 1290","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (-22)\/231*-28*-1*72\/12\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 81 divide 2661?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 30350000 rounded to the nearest 100000?\nAnswer: 30400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3900.892 years to months.\nAnswer: 46810.704","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the third derivative of c**6\/180 - 2*c**4\/3 - 17*c**2. Let a(v) be the second derivative of b(v). Let z(k) = k**2. What is z(a(t))?\nAnswer: 16*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-342)\/18)\/(-342)*-8*1?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 93 is divided by 14?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23742?\nAnswer: 2, 3, 1319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 92 = -3*b, -2*w - 4*b = -3*b - 48. Let l be 186\/w + 80\/(-520). Solve -o = l*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that -177632\/3*k - 56620\/3*k**3 + 175684\/3*k**2 + 59536\/3 - 964\/3*k**4 - 4\/3*k**5 = 0.\nAnswer: -122, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10.6 - 1377422\nAnswer: -1377411.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(243) + (sqrt(243) + -1)**2) + sqrt(243) + 1 + -5.\nAnswer: -45*sqrt(3) + 1460","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 15259877 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3\/(-9)*1887*1*-4 is divided by 180.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -60 + 76. Is q a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/6, -29, 997, 31?\nAnswer: -29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 174196 and 3748.\nAnswer: 163221652","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -11*u**3 - 473*u**2 + 1360*u + 58484. What is o(-43)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wxxxxwxxwxxxxxxwxwxx. Give prob of sequence wxwx.\nAnswer: 35\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the third derivative of -d**6\/3 + d**5\/6 + 133*d**4\/8 - d**3\/3 - 155*d**2 - 3*d. What is the second derivative of y(m) wrt m?\nAnswer: -240*m + 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 3*w - 32052 = 0, -t - 2*w + 5*w + 10688 = 0. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.215 in 0.047, -513, -1, 5?\nAnswer: 0.047","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -28465 - -62348. What is the units digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - u = p + 8, u = -4*p + 13. Find the third derivative of 9*l**2 + 20*l**5 - 8*l**p + 6*l**2 wrt l.\nAnswer: 1200*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1\/(-2))\/(10\/120). Let t(x) = -5*x - 3. What is the tens digit of t(o)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -16.5 + -346225484.\nAnswer: -346225500.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-42)\/14 - (89 + -73)\/(3\/(-21))?\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, -4, -5, -9929819 in decreasing order.\nAnswer: 0.5, -4, -5, -9929819","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3578207 is divided by 357820.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -30196 divided by 15098\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c**4 - 17720*c**3 - 11317220*c**2 + 8249480400*c = 0.\nAnswer: -1982, 0, 420","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*x - 13*x + 177 - 33 for x.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -6, 0, -26, -90, -198, -356, -570, -846?\n\"Answer: -s**3 - 10*s**2 + 43*s - 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/(-5) + (-112752)\/(-270). What is the highest common divisor of 88 and o?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-120)\/(-140))\/(3\/(-14)) - (-18)\/12. Let r be ((-15)\/(-8))\/(9\/(-50)). Let h = 39\/4 + r. Which is the third biggest value? (a) x (b) h (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 488 and 6.\nAnswer: 494","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h when two letters picked without replacement from rmtvmmkmvtvmrhm.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -20374, -117, 4?\nAnswer: -117","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (1275\/(-680))\/(-1*(-6)\/96)\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = 3*t + 161, 20*t - 16*t = 5*s - 163. Calculate the remainder when 84 is divided by s.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 - 2 - g + (3*g - 4*g + 3*g)*(3 - 4 + 0) - 66 + 66 - 15*g - g - g + 4*g + 2*g - 4*g + 3*g + (6 + 0 - 4)*(-g + 4*g - g).\nAnswer: -11*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 62554 + 3?\nAnswer: 62557","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does -30 = 1288056?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1382542?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k + 8443*w = 8447*w + 16, -k + w = -7 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 44217?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -3*n - 8. Let t = 10 + -16. Calculate the least common multiple of j(t) and 2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0\/(0 - 1\/1). Suppose -5*i + 3*i + 16 = g. Let r = i + -3. What is the units digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9 + 3*c**3 + 9 + c**2 - 2*c**4)*(-5*c + 3*c + 13*c).\nAnswer: -22*c**5 + 33*c**4 + 11*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2126030838?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 91516 is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 - -6 - 7 - (-7 - -3).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6427233*n**2 + 3213563*n**2 + 3213670*n**2 - 2*n**3.\nAnswer: -2*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -748 + 753. Suppose -383 = -p*w - 4*d, -2*d + 154 = -4*w + 6*w. What is the remainder when w is divided by 30?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-1)\/(-1))\/(2\/(-18)). Suppose -63 - 15 = -3*p. Let y = p + t. Does 5 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 15 = 55. Suppose 0 = -0*h + 2*h + 6. Let a = 7 - h. Calculate the highest common factor of s and a.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 116 in -0.2, -1, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6.6 + -6. Suppose v - 19 = 5*u, -3*v + 6 = 2*u - 0. Let s be 132\/180 - 12\/30. Which is the third biggest value? (a) u (b) s (c) x (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 94297, 94298, 94299, 94300, 94301?\n\"Answer: q + 94296","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(480)*-2 + sqrt(480))\/sqrt(8))\/(sqrt(588)*-2))**2.\nAnswer: 5\/196","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2388260 and 8624.\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s + 18 = 3*g, -7 + 21 = 3*s + g for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -28*b - 3. Let p be o(-3). Let k = 3 - -1. Suppose -44 = -2*f - k*z, -3*f + p + 7 = -5*z. Is 10 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 2*q**3 - 83*q**2 - 34*q + 52. Calculate r(42).\nAnswer: 388","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1 + -1. Let i = 43018\/3 - 14340. Let o be 20\/(-16) - (-1 - 0). Which is the closest to o? (a) 2 (b) t (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.0488 + 0.3012. Round o to 1 dp.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 57.57135 kilograms to tonnes.\nAnswer: 0.05757135","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -8 + 7.96. Let q = m - -0.04. Let l = -5.3 + 0.3. What is the third biggest value in q, l, 5?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 28335 + 7676 = m, m - 103271 = -5*d. List the prime factors of d.\nAnswer: 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (16\/((-16)\/2))\/((-4)\/(-10))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-29)\/(-1))\/(1\/4). Let u = d + 89. Let i = 1843\/9 - u. Which is bigger: i or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.19 + 2.61. Let u = h - -0.2. Let a = 2 - u. Put 5, -0.3, a in descending order.\nAnswer: 5, -0.3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 352 in 12, -14, 0.3?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 165511 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 18044*d**2 - 349.\nAnswer: 36088*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3 + 0.0358.\nAnswer: 0.3358","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*b + l - 792, -2*l - 800 = 4*b - 5*l. Let z(u) = -u**3 - 16*u**2 - 21*u - 34. Let p be z(-14). Let o = p - b. Is 15 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -4 and -1338987137?\nAnswer: 1338987133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 4*i**2 - 2*i - 5. Let d(w) = -3*w**2 + 2*w + 4. Let g(u) = 3*d(u) + 2*r(u). Let x be g(-5). What is the units digit of (-1)\/4 - x\/4?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1500\/13 + 10474\/91. Let y = -2.2 + -4.2. Let n = 6 + y. What is the nearest to r in n, -2, 0.2?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2724902?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 218 and 8938?\nAnswer: 218","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (0 + -1)*(0 - 0). Suppose m*s = 2*s + 4*y + 4, 5*y + 11 = -s. What is the highest common divisor of s and 32?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ff when two letters picked without replacement from fffffff.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -85.1 - -85. Let f = 576 - 575. Put 6, l, 0.5, f in decreasing order.\nAnswer: 6, f, 0.5, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 713676919 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -147 - -152. Let h be 0\/(j - 1 - 5). Solve -3 = x - h for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 459917.4mm?\nAnswer: 0.4599174","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3\/4 + 5\/(-20). Suppose -c + 5 - 4 = 0. Let r be (-4)\/(-22) - 9\/(-132). What is the closest to r in z, c, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 652 and 45344.\nAnswer: 7391072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 q when two letters picked without replacement from uuqtdtutdldtdttt?\nAnswer: 7\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 400 = 56*w - 58*w. Let m = w + 106. Let g = m - -143. What is the units digit of g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4452, -4666, -4978, -5370, -5824, -6322, -6846?\nAnswer: -7378","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 4*v + 5. Let o be f(0). Put -2, 3, o in ascending order.\nAnswer: -2, 3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*c + 2*j - 9, -2*j = 2*c - 0*j - 4. Suppose 5 + 5 = -c*o. What is the units digit of 3 + (-5)\/((-5)\/o)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*u - 3*u - 15*u + u.\nAnswer: -9*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 39*d**3 + 18*d**2 - 10*d + 45. Is s(16) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 221120001110212 + -111?\nAnswer: 221120001110101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 70.42 - 71. Let a = -6.78 - i. Round a to zero decimal places.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = 5*y - 4, 0*y - 3*y - 2*c = -20. Let j be 53\/(-2) - (-2)\/y. Let t = j - -38. What is the greatest common divisor of 48 and t?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = -4*m - 6, 3*m - 1 - 22 = 4*b. Let n be 1 - -2*b\/(-10). Suppose n*q = q. Solve -c - 2*v = -0*v, q = 2*c - 5*v - 18 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2d (base 16) in base 9?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k - 7 = -8*r, -4 = 618977*r - 618982*r - 2*k for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1957088, -3914131, -5871176, -7828223, -9785272?\nAnswer: -11742323","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(252)*-3 + sqrt(252) - -2*-3*sqrt(7).\nAnswer: -18*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -2*m - 6. Let r be c(-5). Let y(x) = -x + 7. Let i be y(r). Solve -3*l + 3*h = 12, -5*h - 4 = -0*l + i*l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) be the second derivative of -l**4\/42 + 8*l**3\/21 - 42*l. Factor x(r).\nAnswer: -2*r*(r - 8)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence em when two letters picked without replacement from {m: 1, f: 6, e: 3, t: 7}.\nAnswer: 3\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -62 - (11 + -8 + 1 + 9 + -32).\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (19 - 44 - -18) + (4 - 1) + 56 + -1\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1 - -3) + (1 - -1). Let q be -2*10\/15*-3. Let y(o) = -o - q + v + 3*o. Let f(t) = t**2. What is f(y(i))?\nAnswer: 4*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 11201? (a) -2\/47 (b) 1\/4 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -86*u**5 - 4*u**3 - 716*u**2 + 2.\nAnswer: -5160*u**2 - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Are 83 and 225992\/2753 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 5 = -4*b, -4*b = 3*t + 6 - 21. Let d be 5\/1 + (-8)\/(t - 1). Solve d*v - 8 = -v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 divided by 17.\nAnswer: -13\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) be the third derivative of -v**8\/1092 + v**7\/455 + 3*v**2 + v. Factor i(z).\nAnswer: -2*z**4*(2*z - 3)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27930 = -2*s + 4*v, -2*s - v - 10695 + 38620 = 0. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -39.043 and -1.\nAnswer: -40.043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the first derivative of -b**4\/4 + 8*b**3\/3 + b**2\/2 + 8*b + 1. Let c be y(8). Solve r + 4 = 0, -r - 3*r - c = -3*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (d + 4*d - 4*d)*(-5*d - 3*d + 0*d).\nAnswer: -8*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (31*i - 3 - 57*i - 37*i - 58*i)*(2*i**3 + 2*i**3 - i**3).\nAnswer: -363*i**4 - 9*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*h = 65*h - 580. Solve 2*v - 2*y + h = 3*y, 2*v + 2*y - 4 = 0 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) be the second derivative of 4*j**6\/15 - 7*j**5 + 239*j**3 - 190*j. Find the second derivative of o(g) wrt g.\nAnswer: 96*g**2 - 840*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence un when two letters picked without replacement from rrsunrrrnrsr?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5.7 - 1.3. Let m = -9 - u. Which is the nearest to 1\/4? (a) m (b) 2\/3 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3892.64 weeks in days?\nAnswer: 27248.48","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/1*2*-2.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3 - 0.4. Let v = -2 + u. Let t = -2.6 + v. Put t, -0.5, 4 in descending order.\nAnswer: 4, -0.5, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-66)\/8 + (-3)\/4. Let z = 12 + g. Solve -1 = -z*m - 4 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -32021417*-0.4\nAnswer: 12808566.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 27cd - 5?\nAnswer: 27c8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the first derivative of 5*l**6 + l**5\/5 - 91*l**2 + 198. What is the second derivative of u(v) wrt v?\nAnswer: 600*v**3 + 12*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 5*u - 7*u. Suppose p + 3 = u*p, 0 = -5*z - p + 83. Solve 5*b - 2*m = 2*m + z, b = 4*m for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5217013 is divided by 2608422?\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 92 minutes after 4:10 AM?\nAnswer: 5:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 84*r - 379 - 190 = 355. Solve -r*h + 19 = i - 6*h, 3 = h for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/287)\/((1120\/(-98))\/(-8))*-5.\nAnswer: -2\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 + 1 + (16 - (10 - -3)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 2*j - 17599990 = 0, -c + 2*c - 8799990 = 2*j. What is c rounded to the nearest one million?\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 59483 and 183515?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -14 (base 13) to base 7.\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 + 0 - ((15 - (4 + 3)) + -88094) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the third derivative of -w**6\/120 + 43*w**5\/60 - 83*w**4\/24 + 41*w**3\/6 - 24*w**2 + 2. Factor h(x).\nAnswer: -(x - 41)*(x - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5199 - -17707\/3. Let x = -23242\/33 + d. Let s = x + 18\/11. Which is the closest to s? (a) -0.5 (b) 0.4 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -11 and 7020.7849?\nAnswer: 7031.7849","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 726 and 1782?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0001588 rounded to five dps?\nAnswer: -0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -128*n - 21*n - 3816 + 1549 = 1607 for n.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 205 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -9*r - 11. Let c(g) = -53*g + 2. Give i(c(d)).\nAnswer: 477*d - 29","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-24)\/((-39)\/(-6) - 5). Let u be o*7\/(-28) - (1 - -2). Let f be 1 + 793 + u + -5. What is f rounded to the nearest one hundred?\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + (8 - 8) + -2 + -3.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 6\/535 and 101\/2574.\nAnswer: 1377090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 62 = -25*h + 162. Suppose 0 = 5*x + h*w - 1816, 0*x = 2*x + 4*w - 736. List the prime factors of x.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(63) - sqrt(63)*1)\/sqrt(9) + ((3*sqrt(77))\/sqrt(11))**2 - ((sqrt(567)*4 + -4)*-2)**2.\nAnswer: -36289 + 1152*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -g**3 - 2*g**2 + g + 5. Let q(k) = -k**2 - 10*k - 29. Let m be (-3 - -1)*(-35)\/(-10). Let h be q(m). Is z(h) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -143*a + 141*a - 4 = -3*r, -4*r - 2*a = 4. Is r <= 35\/122?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2618441 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 1 - 13 = 0. Let w = 1 + 1. What is the third derivative of -w*m**6 - x*m**5 + 4*m**5 + 2*m**2 wrt m?\nAnswer: -240*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 14269 and 86431.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2103?\nAnswer: 3, 701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) be the third derivative of 7*f**4\/12 - 7*f**3 + 2*f**2 - 5*f. Let d(n) = 5*n - 14. Let p(x) = -17*d(x) + 6*o(x). Give p(-5).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -46752.61081 and -25?\nAnswer: 46727.61081","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 182.5 and 16.9.\nAnswer: 3084.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 34688021549 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) be the first derivative of r**4\/4 + 11*r**3\/3 - 3*r**2 + 22*r + 19. What is the tens digit of x(-11)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/5 of a litre?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 528 minutes before 8:05 PM?\nAnswer: 11:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in -2\/7, 2, 170, -11, -268?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 1\/3, 0 in ascending order.\nAnswer: -3, 0, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -53*t - 171*t + 3136 for t.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*o**5 - 18*o**4 - 342*o**3 + 1812*o**2 + 4563*o + 2430 = 0. Calculate o.\nAnswer: -10, -1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -731*n - 1068 = 25*n - 3336 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.07663 + -57.31377. Let w = -0.0096 + s. What is w rounded to the nearest 10?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -m**3 + 2*m**2 + 4*m + 10. What is i(-3)?\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 149 - 94. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 128277677?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4 - 53?\nAnswer: -101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 42950 to the power of 1\/2, to the nearest integer?\nAnswer: 207","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (387\/(-330) - (-6918)\/4612)\/(3\/50)?\nAnswer: 60\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -w**3 + 6*w**2 + 7*w - 11. Let g = 36 - 30. Calculate the remainder when q(g) is divided by 18.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -572492477*t + 572492477*t - 25*t**2.\nAnswer: -25*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/9 + 2\/6. Let o = -0.06 - -1.06. Which is the nearest to -2? (a) 2 (b) l (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.494 - -0.006. Which is the third biggest value? (a) -3 (b) -2\/11 (c) o (d) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-1\/4)*w*((w\/(w\/w**9))\/w*w)\/w*w)**(-1\/6) assuming w is positive.\nAnswer: w**(-13\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y + n - 1 = 0, -y = 6*n - 4*n - 14 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 3425 divided by 685\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -9*z + 25. Let t be w(4). Let g(n) = -3*n**3 - n**2 + 6*n - 2. Let f be g(t). Is (((-21)\/12)\/7)\/((-3)\/f) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 3 + 17627*f - 17628*f - 4. Let j(h) = 3*h + 2 - 3*h**2 + 1 + 8*h**2. Let z(t) = -2*j(t) - 6*x(t). Let n(r) = -5*r**2. What is z(n(m))?\nAnswer: -250*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = 5*u - 22, u = 11*a - 6*a - 18. Solve -5*m - 3 = -3*x, -3*m = -3*x + a - 7 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4198 - 18*a**4 - a**2 - 12*a**4 + 590 - 1192 + 183 + 56*a wrt a.\nAnswer: -120*a**3 - 2*a + 56","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -141222 less than -5.1?\nAnswer: 141216.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s**3 - 36*s**2 - 39*s + 76. Give d(37).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-2\/43))**(30\/11)\/((u*u**(-10\/3)*u*u*u)\/(u*(u\/u**(-2\/47))\/u)) assuming u is positive.\nAnswer: u**(16609\/66693)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:33 AM and 7:41 PM?\nAnswer: 488","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.13 take away -18246?\nAnswer: 18246.13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 2189\/8?\nAnswer: 2189\/8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 = 3*i - s, -5*i - 4*s - s + 25 = 0. Suppose -i = -t + 8. Is t a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1529199 divided by -261\nAnswer: -5859","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1148*o**3 + 2*o**2 - 195*o + 1210*o - 3319*o**3 wrt o.\nAnswer: -13026","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -17 in 4\/7, -665, -1, -1\/17?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 7362 - 7357. Suppose -55 - 3 = -2*i - 5*o, 4*i - 5*o - 176 = 0. What is the smallest common multiple of i and a?\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iellyeeiejji. Give prob of sequence eele.\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - 5*g = -65, 5*y - 2*g - 2*g - 38 = 0. What is the lowest common multiple of 3 and y?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 minus 4760071?\nAnswer: -4760091","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1012782, -1012744, -1012680, -1012590, -1012474?\nAnswer: -1012332","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2831704.\nAnswer: 2, 353963","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -y**3 + 12*y**2 - 15*y + 35. Let r be k(11). Let f = 55 - r. List the prime factors of f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -482*i + 1016 + 2840 for i.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -166.9817 + 167. Let o = 0.032295 - l. Let d = o - 0.014. What is d rounded to 6 decimal places?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46056 a multiple of 202?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 1, r: 2, l: 2, e: 1, v: 1, t: 1}. Give prob of picking 1 r, 1 t, and 1 e.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -5 - -4?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 17 + -12. Let n be 4 + -2 + -1 - -1. Sort -3, n, q in decreasing order.\nAnswer: q, n, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7151 is divided by 1380.\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5870 and 4696.\nAnswer: 23480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hxf when three letters picked without replacement from {u: 1, h: 1, f: 5, v: 1, x: 3}.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 27 = -27. Solve 3*f = 8*f - a*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 121312 and 10?\nAnswer: 606560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 18859\/2 - 9151. Let n = l - 6119\/22. Factor 0*a - n*a**2 + 0 - 2\/11*a**3.\nAnswer: -2*a**2*(a + 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -751 + 1311. Suppose -4*u + 4*v = -f, -3*u + 2*v + 550 = u. Let d = u - -76. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bwazadzadd. What is prob of sequence ww?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -2772085*y + 5544170. What is h(2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-20)\/(-14)*(180\/(-50))\/(-6)?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) be the second derivative of 0 + 0*g**5 + 7\/12*g**4 + 0*g**2 + 0*g**3 + 2\/15*g**6 - 7*g. What is the third derivative of t(x) wrt x?\nAnswer: 96*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-2)*y)**(1\/19))**(-39)\/(y**(2\/3)*y**(6\/11))**(5\/7) assuming y is positive.\nAnswer: y**(5209\/4389)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -z + 3*z - 7521278*z**3 - 2*z + 7521306*z**3.\nAnswer: 28*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 363*v - 1028 = 877*v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -7090 - -7099. Calculate the greatest common factor of 1341 and c.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -171 - -166. What is the nearest to 2 in b, -1\/11, -2, -1.9?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t**2\/3 + 1084*t + 26144\/3 = 0.\nAnswer: -8, 1634","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c**2 - 69*c - 16900 = 0. What is c?\nAnswer: -100, 169","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 414*r - 16308 - 12951 - 1377 = 0 for r.\nAnswer: 74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 2*w - 3)*(3 + 1 - 1) + 2*w - 7*w - 2*w.\nAnswer: -13*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*o + 5*n - 270, 179*o + 54 = 176*o + 3*n - 2*n for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6591 is divided by 6582.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 3 (b) -5 (c) -1\/6 (d) 852\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -11 + (-5 + 53)\/6. Let n(r) = -r**2 - 3*r + 3. What is n(y)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = d**2 - d - 3. Let r be 5\/1 + (-6)\/6. Suppose -r*o + 9*o = -l + 22, l = 2. Let x be (12\/8)\/((-2)\/o). Determine z(x).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 155 is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*k - 30 - 75. Suppose -2*r - r + 54 = -5*i, 3*r = 3*i + 36. Let m = i + k. List the prime factors of m.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 291 minutes before 3:40 PM?\nAnswer: 10:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p + p**2 - 4*p**5 + 0*p**2 + 2*p**4 - 2*p**2 + 6*p**3 - p**2 = 0 for p.\nAnswer: -1, -1\/2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 352*j**4*n + 1492*j**3*n - 9377*j*n - 95*j wrt j.\nAnswer: 4224*j**2*n + 8952*j*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 74 + -20. What is the tens digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2187558?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o and 1 m when three letters picked without replacement from {m: 2, q: 2, o: 10}.\nAnswer: 45\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - (1 - (5 - 5)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 16 and 116?\nAnswer: 464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + (-1 - -2) + (296 - 328) + 28 + -2.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 + 0 = -4*w. What is the nearest to -2\/5 in 7, 0.4, w?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9828 divided by 126.\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -369157984*f**2 + 172870534 with respect to f.\nAnswer: -738315968*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 5*d - 1. Let n(k) = 4*k - 1. Calculate -4*c(f) + 6*n(f).\nAnswer: 4*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 80 and 16075?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -5*z**2. Suppose 4*s = 2*x + x - 166, 170 = 3*x - 2*s. Let m(r) = x - 58 - r**2. Give m(q(t)).\nAnswer: -25*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*o = -12*o + 5*a + 30, 0 = 3*o + 4*a + 26 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -62*i + 16 - 83*i - 16 as x*i + l and give x.\nAnswer: -145","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -v + 142. Determine h(-27).\nAnswer: 169","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e and 2 m when four letters picked without replacement from {h: 1, m: 2, e: 2, u: 1}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -14947, -35966, -56985?\n\"Answer: -21019*p + 6072","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 112, 496, 1160, 2104, 3328, 4832?\nAnswer: 6616","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.052 - -0.152. What is the closest to t in 0.9, 3, 1?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5b52 - -4d?\nAnswer: 5b9f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*p - z + 193, 3*z - z - 35 = -p. List the prime factors of p.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.2 + -2.2. What is the biggest value in w, 4, -3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 6*f**4 - 4*f**2 + 4 - 6 + 2*f**2. Let d(n) = -29*n**4 - n**3 + 11*n**2 + 11. Let q(z) = -11*c(z) - 2*d(z). Find k, given that q(k) = 0.\nAnswer: 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 133206 take away -110.1565?\nAnswer: 133316.1565","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -4 - 1 + 5*v**2 - 5*v**2 - 4*v**2 + 5*v**2 - 5*v. Let q(m) = 2*m**2 - 9*m - 9. Give 7*p(c) - 4*q(c).\nAnswer: -c**2 + c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 120802906 divided by 2\nAnswer: 60401453","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by -240004?\nAnswer: -5\/240004","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 25 - 3*p**2 - 447*p + 225*p + 266*p**4 + 221*p - 27 in the form h*p + u*p**3 + s + b*p**2 + q*p**4 and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-o + o + o**3)*(-o + 3*o - 3*o) + (4*o - 3*o**2 - 2*o + 2*o**2)*(-2*o**2 + 3*o - 3*o).\nAnswer: o**4 - 4*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11342*q**2 + 21619*q**2 - 18*q - 10279*q**2.\nAnswer: -2*q**2 - 18*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(156) - (-2*sqrt(156)*-5 + sqrt(156))) + sqrt(156))\/sqrt(12).\nAnswer: -9*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11110 + 11001?\nAnswer: -101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -1523, -1894, -2265?\n\"Answer: -371*y - 1152","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -g + 2 - 6. Let u = -6.5 + 5.55. Let j = 4.05 - u. Which is the second biggest value? (a) -2\/3 (b) j (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*c**5 + 10*c**4 - 10*c**2 - 5*c = 0. What is c?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -4*x. Let o = -27 - 57. Let u = o + 354. Let q(d) = -272*d + 2 + u*d - 2. Calculate p(q(v)).\nAnswer: 8*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((v*v**(-4\/7)*v)\/v)**38)**(-18))**(-1\/9) assuming v is positive.\nAnswer: v**(228\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence om when two letters picked without replacement from {o: 5, f: 3, z: 1, m: 1}.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = -i - 4, 2*w + 10 = -4*i - 0*w. Let x(y) = y**3 + 2*y**2 - 6*y - 6. Let l be x(i). Factor -12 - 2*k**2 - l*k**2 - 4 + 20*k - 4.\nAnswer: -5*(k - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6101999 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-17475)\/(-950) + (232\/38 - 6)?\nAnswer: 37\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5.04 less than or equal to -4\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-114)\/(-38))\/(3\/9)*6*(-14)\/(-18)?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (28\/21)\/((-68)\/6)?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -20\/19, 1.9, -2 in increasing order.\nAnswer: -2, -20\/19, 1.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 3*n**2 + 5*n - 2. Let i(z) = -z**2 - z. What is -d(a) - 6*i(a)?\nAnswer: 3*a**2 + a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 220 is divided by 17?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(45)*-1 + -5.\nAnswer: -3*sqrt(5) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 624*c + 543*c - 22793 - 34390 = 0 for c.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Product of 68 and -0.1.\nAnswer: -6.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h when two letters picked without replacement from {q: 4, r: 3, h: 3, s: 1}?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4217*l - 4214*l + 4*b + 67, 4*l - b = 12 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*h**2*o + 97884*h**2 - 7*h*o + 19907*o wrt o?\nAnswer: 2*h**2 - 7*h + 19907","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 32\/(-6)*(-105)\/28. Let z = g - -28. Is 12 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 20 and 27060.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/(-4) + (-315)\/530. Let u = -181\/795 - y. Which is the second biggest value? (a) u (b) 4 (c) 1\/12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29 is divided by (3 - 13)*8\/(-10).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r - 2 = -2*v + 8, -4*v = -2*r - 2 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000763877037 to 4 decimal places.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = u**2 + 2*u - 4. Let g be p(-4). Suppose 21 = -4*l + 85. What is the highest common divisor of l and g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 422683498?\nAnswer: 2, 149, 251, 5651","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is b in -8*b**3 + 5116*b**2 + 28404*b - 15480 = 0?\nAnswer: -6, 1\/2, 645","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = y. Suppose 2*i + 4 = -5*r - 9, 4*i + 14 = 2*r. Let c be q(r). Let v(d) = 158*d**2 - 9*d - 9. What is the hundreds digit of v(c)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*733.\nAnswer: 3665","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the second derivative of -z + 1\/12*z**4 + 0 + 5\/2*z**2 + 0*z**3 + 1\/20*z**5. Let y be d(0). Solve -v + y*l = -2*v - 22, 5*l + 16 = 2*v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 3, t: 2, h: 1, a: 2, q: 4, i: 2}. Give prob of sequence iitt.\nAnswer: 1\/6006","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 28002232 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -101874 less than or equal to -101874?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + p = 102, -3*j + 36 + 18 = -3*p. Solve -5*u - 10 = -5*d, 5*u + 9*d + j = 4*d for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g\/g**(-8)*g)\/(g**0*g))**(2\/19)*((g\/(g*g*g*g**(-5)*g))\/g)\/g**(-4)*(g**0)**4 assuming g is positive.\nAnswer: g**(115\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 104359464?\nAnswer: 2, 3, 11, 17, 23, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of 27 and 2061.\nAnswer: 55647","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/5437057 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -515*o + 1789*o + 49686 = 0 for o.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -4*x - x**2 - 1 + x + 7*x. Suppose 16*d + 235 = 315. Calculate r(d).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 25 = -q, 8*q - l = 7*q + 25. Suppose q*a - 2450 = 15*a. List the prime factors of a.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 785 is divided by 167.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -62.55542 or -1?\nAnswer: -62.55542","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4308 by -2.\nAnswer: 2154","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-g**4 - 2 + 2 + (g**2 - g**2 - g**2)*(g**2 + 1 - 1) - g**4 + g**4 + 3*g**4)*(4 - 1 + 2)*(9*g - 2*g + 12*g).\nAnswer: 95*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1.1 + 6.1. Let h = 211\/1071 + 3\/119. What is the fourth biggest value in l, 2\/13, -4, h?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.191 + 0.091. Put 2\/9, -2, -11, g in increasing order.\nAnswer: -11, -2, g, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2538 + 2624. What is the highest common divisor of 1763 and h?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 8488.87 to the nearest one thousand.\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -5*y**4 + 3*y**3 + y**2 - 3*y + 4. Let q(m) = m**4 + m**2 - 2. Let o(v) = 2*q(v) + r(v). Factor o(n).\nAnswer: -3*n*(n - 1)**2*(n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 20 = -5*l, -2*l = 2*h - 93 + 101. Solve y + 19*y = l for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 111 minutes before 5:33 AM?\nAnswer: 3:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 19, 16.65, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1 - -2. Let p be (1 + 3)\/(6\/z). Suppose -w + 31 = -3*n, -25 - 29 = -4*w - p*n. What is the units digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-115)\/(-138) - 3\/2?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -40, -5, 17520 in descending order.\nAnswer: 17520, -5, -40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = y**2 - 2*y - 3. Let u be b(-2). Suppose 3*p + u*n - n - 106 = 0, -p + 5*n = -10. List the prime factors of p.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.164243339 or -1?\nAnswer: 0.164243339","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33 = -21*o + 32*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-5 + (-103)\/(-9))*3. Let n*l**3 - 3*l + 32*l**4 + 32\/3*l**5 - 17\/3*l**2 + 2\/3 = 0. What is l?\nAnswer: -2, -1, -1\/2, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5*-27.07\nAnswer: -135.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 20\/6851 and 48\/455.\nAnswer: 239785","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 564486054 divided by 34\nAnswer: 16602531","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1614*p**3 + 74*p - 3?\nAnswer: -9684*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 539737 to the nearest integer?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1a6 (base 16) to base 3.\nAnswer: -120122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -171*h + 1347. Let b be q(8). What is the second smallest value in 0.4, b, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6*-2*(-361)\/(-684)?\nAnswer: -19\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -23 + -9?\nAnswer: -2c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0 - -1. Suppose a = -6*f + 145. What is the tens digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 47 (b) 0 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -170.5 and -303.08?\nAnswer: 132.58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 36300 divided by 4?\nAnswer: 9075","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that 18*z - 1\/2*z**3 - 5\/2*z**2 + 90 = 0.\nAnswer: -6, -5, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 100, 211, 322, 433, 544, 655?\nAnswer: 766","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.06 in 0, -1.09, 0.5, -8?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -29*d - 497. Let k be g(-17). Put k, -165, 1 in increasing order.\nAnswer: -165, k, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -17759*a**5*w - 287*a**2 + a*w + 2*w + 8 wrt a.\nAnswer: -1065540*a**2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 1536 = -r - 1497, 2*r - 1018 = -w. What are the prime factors of w?\nAnswer: 2, 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - t + 3344 = 0, 6*f - 6028 = -3*f - 4*t. What is the smallest common multiple of 13 and f?\nAnswer: 8684","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -7877\/1485 and 10 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*w - 3*w - 9*w.\nAnswer: -6*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 35 is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 253\/(-506)*(-40)\/(-6)*1*3?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u when two letters picked without replacement from niuvu.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (4\/5)\/((-4)\/(-10)). Let s(o) = -5*o**2 + l*o**3 + 4 + 2 - 3*o**3 + 7*o. Let m = 2366 - 2372. Calculate s(m).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:35 PM and 11:16 PM?\nAnswer: 581","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -j**3 - 16*j**2 + 27*j + 39. Let r be o(-18). Let s = r - 201. Solve 4*k = -4*m + 20, -4*m - 2*k - 4 + 22 = s for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 665920*z + 37957440. Give p(-57).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) be the third derivative of -s**7\/315 - s**6\/45 + 11*s**5\/90 - s**4\/6 - 12*s**2. Solve x(b) = 0 for b.\nAnswer: -6, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1204154?\nAnswer: 2, 7, 86011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -k**2 + 4*k - 1. Let u be p(2). Let q be (u + -2)*2*5. Let b = 22 - q. Does 6 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -2*x**2 - 26*x + 98. Let r(f) = 3*f + 3. Let o be r(6). Suppose -15 = -2*p + o. Calculate the lowest common multiple of p and m(-16).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -224674, -224382, -223898, -223222, -222354?\nAnswer: -221294","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.04 + 0.04. Let c = -2 - y. Let x = -0.3 + 0.5. Is x equal to c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 12, 47, 124, 261, 476, 787, 1212?\n\"Answer: 3*f**3 + 3*f**2 + 5*f + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 261*n**2 - 151*n**2 - 109*n**2. Let q be (-4 + 1)*3\/(-9). Let p(s) = 5*s**2 - 2*s - 2. Let x be (-3 - -4)\/(2\/(-6)). Determine q*p(v) + x*l(v).\nAnswer: 2*v**2 - 2*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 6391 divided by -283\nAnswer: -6391\/283","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-7 - -4)\/(2\/(-14)). What is the remainder when 6\/o + 9 + 4015\/35 is divided by 35?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 5*f - 5*f + 21*f. Let l(i) be the third derivative of i**6\/240 - 11*i**4\/6 - 6*i**2 + 19. Let w(j) be the second derivative of l(j). What is w(y(r))?\nAnswer: 63*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4333 - 4332. Is -2\/47 >= f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(1*-6)*54\/(-153).\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y**4\/6 - 25*y**3\/6 + 31*y**2\/6 + 115*y\/2 = 0. What is y?\nAnswer: -3, 0, 5, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (4 + -1)*1 - -4. Let h = 11 - p. Let q = -14 + 55\/4. What is the second smallest value in q, 2\/13, h?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1096095 divided by -3?\nAnswer: 365365","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -38, 5, 0.2, -4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2823?\nAnswer: 3, 941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*a + 29*a - 12384. Let m = a + -280. Calculate the greatest common divisor of m and 144.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 2, f: 1, g: 8, l: 2}. What is prob of picking 1 f and 2 i?\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -16.9 - -14.9. Let a(f) = -f**3 + 4*f**2 - 2*f + 1. Let x be a(3). Suppose -3 = -d + 3*o, 0 = 4*d - d + 4*o + 4. What is the closest to 0 in x, w, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1 + 292\/16 - (-3)\/4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-2 + ((-1 + (-1 + sqrt(125))*6)*-6)**2) + 0.\nAnswer: -163762 + 15120*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/u**(-9))\/(u\/(u*(u*u**3)\/u))*(u*u**(-3))\/(u**(-12)\/u) assuming u is positive.\nAnswer: u**24","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) 3 (b) -1 (c) 23451\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/((j*j**(2\/3))\/j))\/j)**5*(j**(-2\/13)\/j)**(6\/23) assuming j is positive.\nAnswer: j**(-3260\/897)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 + 7 + -2 + -2 + 121 a multiple of 62?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0 - 0.00000028. What is a rounded to 7 dps?\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*w = -2*s + 13 - 41, 4*s - 16*w = -18*w - 14 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = n**3 + 5*n**2 - 2*n + 6. Give k(-6).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 174 and 8642.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -190, -77, 66, 215, 346?\n\"Answer: -4*l**3 + 39*l**2 + 24*l - 249","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 2417365, 4834724, 7252083, 9669442?\n\"Answer: 2417359*n + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1160 and 680.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 71569 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*o + 5*o - 2*o + 0*o + 0*o + 2*o + (-6*o + 4*o + o)*(1 - 3 + 3) + 0 + 2*o + 0)*(8*o + 4*o + 0*o + 3).\nAnswer: 12*o**2 + 3*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1)\/((-3)\/(-1) + -2*2). Let g(y) = 12*y**2 - 9. Let o(s) be the third derivative of s**5\/60 - s**3\/6 - 2*s**2. Determine t*g(d) - 9*o(d).\nAnswer: 3*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 174 = 6*j - 3*j. Let o = j + 163. What is the units digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1 + acb?\nAnswer: aca","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-2*sqrt(182) - sqrt(182) - sqrt(182))\/sqrt(7))\/sqrt(2))**2 + (1 + sqrt(208))*-4.\nAnswer: -16*sqrt(13) + 204","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -22\/21 + 332\/357. Suppose 0 = 4*d - 8*d. Put c, d, -2\/13 in descending order.\nAnswer: d, c, -2\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43\/5*s + 14\/5 - 17\/5*s**3 + 1\/5*s**4 + 9*s**2 = 0 for s.\nAnswer: 1, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -a**2 + 7*a - 9. Let j be x(4). Calculate the remainder when 29 is divided by -8*((-34)\/8 + j).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.7769 + 0.751. Which is greater: 1 or r?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 332179 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 762 = 5*x - 3*y - 0*y, -434 = -3*x - 4*y. Is x a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -11890 + 17375. Calculate the remainder when g is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let w = -2 - -17. Calculate the remainder when 107 + (-6 - (-26)\/2) is divided by w.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, 15, 0, 178, -2, -13 in increasing order.\nAnswer: -13, -8, -2, 0, 15, 178","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 6*k + 7. Let n(x) = x - 1. Let f(l) = -5*n(l) + r(l). Let w be f(-9). Let h = -0.3 - 0. Which is the smallest value? (a) 2 (b) h (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -2, 30, -5, -73, -1, 92 in descending order.\nAnswer: 92, 30, 1, -1, -2, -5, -73","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 1 = -7. Suppose -d*s = s - 243. Suppose g - 96 = -5*t, -3*t - 5*g + s = t. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 134257995.7 rounded to the nearest 10000?\nAnswer: 134260000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 10*a**2 - 12*a + 20. Calculate the remainder when v(6) is divided by ((-104)\/(-39))\/((-12)\/(-234)).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1657)\/1657 - (-1 + -23)?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) be the first derivative of -f**4\/4 - 8*f**3\/3 - f**2\/2 + 3*f - 717. Calculate k(-7).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1579 is divided by 37?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9164470?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 25*k - 9. Let h be p(-5). Let f = -26 - h. Is 12 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4326 (base 10) to base 8\nAnswer: 10346","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(3*sqrt(1700) + -1)*4.\nAnswer: -4 + 120*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 370 + -150. Suppose -10*m + n = m. Calculate the remainder when 53 is divided by m.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t**3 - 6*t**2 - 5*t - 10. Let u be s(7). Let a(c) = -3*c + 2. Let b(q) = -3*q + 1. Let k(p) = u*b(p) - 3*a(p). What is the derivative of k(v) wrt v?\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/d**(-2\/3))\/(d**7*d)*((d\/((d*d**(-7))\/d*d))\/d)\/(((d\/(d**(-4)*d))\/d)\/d))**(20\/3) assuming d is positive.\nAnswer: d**(-140\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 134274615.\nAnswer: 3, 5, 19, 471139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 690 minutes after 10:11 PM?\nAnswer: 9:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 16*y**3 + 9*y**2 - 9*y. Let v(c) = 4*c**3 + 2*c**2 - 2*c. Give 2*u(k) - 9*v(k).\nAnswer: -4*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -1, 106, 323, 650, 1087?\n\"Answer: 55*p**2 - 58*p + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -48, 6, -4, -5, -3 in decreasing order.\nAnswer: 6, -3, -4, -5, -48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 200837 divided by -2207.\nAnswer: -91","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 2*k = 2. List the prime factors of k*(-11)\/((-33)\/18).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*c = -31*c + 18*c. Solve 2*p + 5*b - 18 = c, -3*b = 3*p - 0*p - 9 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5184071723?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 469 by 2342126.\nAnswer: 469\/2342126","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = q**3 - 2*q**2 - 3*q + 3. Let z(j) = 3*j**2. Let b be z(-1). Let f be r(b). Let n(p) = -p**2 + 4 + p - f + 1. Calculate n(-3).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 2 + 3)*(2*k - 2*k + 2*k**3)*(-3*k + 0*k + k)*(2 - 3 + 2).\nAnswer: -36*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 184663 to the nearest integer?\nAnswer: 430","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 228473?\nAnswer: 7, 127, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10360, -10344, -10318, -10282, -10236, -10180?\nAnswer: -10114","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -k**3 - 39*k**2 - 39*k + 59. Let y be q(-26). Is ((-6)\/(-15))\/(0 + (-2)\/y) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) be the third derivative of -a**8\/1512 - a**7\/945 + a**6\/180 + a**5\/270 - a**4\/54 - 22*a**2 - 3. Let h(z) = 0. What is z?\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2307 - -2310. Solve 4*g + 7 - c = 4*j, 2*g = -3*j - 17 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 432 and 2388384?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of (-196)\/(-3) + 44\/(-33) and 36?\nAnswer: 576","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (45\/12)\/(9\/24). Suppose -8 = -j*m + 14*m. Let v be 0 + -3 - -5 - -2. Put 5, v, m in decreasing order.\nAnswer: 5, v, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 54 - 8. Let y = -11 + 23. What is the remainder when a is divided by y?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 68 (b) -0.3 (c) 0.2 (d) 2 (e) -78\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -47, -205, 581 in decreasing order.\nAnswer: 581, -47, -205","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 0.1, 6, -12, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -u**3 - u**2. Let r(y) = 8*y**3 - 4*y**2 - 4*y + 8. Let c be 5\/(-2)*(-132)\/110. Suppose 0 = -c*b + 8*b + 20. Let q(t) = b*s(t) - r(t). Factor q(o).\nAnswer: -4*(o - 2)*(o - 1)*(o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 9*n**3 + n**2 + 11*n - 19. Let t be h(2). Suppose -t + 44 = -7*i. Solve -i*p + 4*y = -25, 3*p + y - 11 = 4 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -n**2\/5 + 84*n\/5 - 1728\/5 = 0. Calculate n.\nAnswer: 36, 48","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 2*k**2 - 5*k - 5. Let n(a) = a. Suppose 2*q - 11 = 3. Let b be n(q). Is s(b) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29535*c - 3749 - 343 = -29469*c for c.\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5679*f - 5883*f - 2 + 2 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -170*z + o + 57 = -175*z - 3*o, 6*o = -78 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 74975, 74958, 74927, 74876, 74799, 74690, 74543?\nAnswer: 74352","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1 + 3. Suppose 2*l - 6*l + 21296 = 3*t, 0 = t + s*l - 7098. Round t to the nearest one thousand.\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 22 - -6244?\nAnswer: 6266","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -85558\/225 at most -380?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.3 - 0.7. Let v = a + 1. Let y = -24089.91 + 24090. Sort y, v, -2\/19 in increasing order.\nAnswer: -2\/19, v, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 235*f**2 - 78*f**2 - 51*f**2 + 250*f**2.\nAnswer: 356*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r**(-9)\/r)\/(r**(-20)\/r)*r**(-1\/3)*r*r**(-12) assuming r is positive.\nAnswer: r**(2\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 20 + -12. Suppose 2*d = 4 + 48. Let l = d - 21. What is the remainder when z is divided by l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -283402 by -1306.\nAnswer: 217","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 6 = 0, 5*w = 29*l - 33*l - 90. Which is the second biggest value? (a) 2\/17 (b) 0.5 (c) l (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 68767341673 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3\/12 - 1\/4. Let q be 1*(k + -2) - -7. Suppose 4*c + 6*h + q = h, -4*c = -h - 25. Solve -3*u - 3 = -2*l, 3*u = -0*u - c*l - 3 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 23 = 572. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -836 divided by -3028?\nAnswer: 209\/757","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 3*g. Let v(r) = 216*r - 6. Calculate a(v(t)).\nAnswer: 648*t - 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h**(-3\/8))**(-13)\/(((h*(h*h\/h**(-4\/3)*h)\/h*h)\/h)\/h**(3\/10)))**6 assuming h is positive.\nAnswer: h**(-1459\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -86*l**2. Let a(f) = f**2. Give a(z(x)).\nAnswer: 7396*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 3962.224 nanograms?\nAnswer: 0.000003962224","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -14 + 15. What is the units digit of (-4)\/(-10) + h + 4140\/25?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 593*m - 597*m - 3*u + 42 = 0, 3*m + 5*u = 26 for m.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/31? (a) -5 (b) 1 (c) 4 (d) 0.413\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (61639\/(-1749) - 10\/(-11)) + 3 + 8\/(-3).\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 598180 (base 11) to base 3.\nAnswer: 1210011020201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (0 - (-2 - -2)) + 13. Let y = -16 - -16. Solve q - 5*u = p, 3*u = -2*q - y*q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -84656*h + 1523810. Calculate i(18).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2 + 7. Suppose 0 = -5*u - 5*i + 25, -5*u + 8 = i - 9. Which is the nearest to 8\/5? (a) d (b) u (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 220202626.\nAnswer: 2, 7, 29, 542371","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000851 rounded to five decimal places?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2727101 is divided by 118?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 19\/4 of a litre?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 9381009 to the power of 1\/2, to the nearest integer?\nAnswer: 3063","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 5 = 4*r, -2*r + z - 10 + 5 = 0. Suppose r + 6 = -f. What is the common denominator of ((-66)\/14)\/(f\/(-63)) and -35\/8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4 and 46?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 192571?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -8 + 6 - 7 + 2*m in the form t + o*m and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -4197, -8391, -12589, -16791, -20997?\n\"Answer: -2*z**2 - 4188*z - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i**2 + 2*i - 52. Determine g(0).\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (15 - (21 + -4)) + -2.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -27*c - 26*c - 1 - 27*c + 79*c + 18*c**2. What is o(-1)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5a9485 (base 12) to base 14.\nAnswer: -2a2c73","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 7, f: 3, z: 2, r: 5, d: 1, i: 2}. What is prob of sequence fi?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = 3*c - 516, 5*v - 268 = -253. Suppose -330 = 11*m - 14*m. Calculate the greatest common factor of c and m.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(4 + (3 + sqrt(1573)*2 + 3 - (0 + 5*sqrt(1573)*-2))**2).\nAnswer: -1359312 - 9504*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d**3 - 6*d**2 - 9*d - 7. What is z(-6)?\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 784\/84*324\/(-63).\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (156\/(-19) + 9)*(-144)\/(-720)?\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -13.29 - -13. Let p = j + 0.09. Let x = -13 - -18. What is the third biggest value in -2\/9, p, x?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of o**2*x**3 + 3*o**2 - 2*o*x - 9*x**4 - 5*x**3 + 10 wrt x.\nAnswer: 6*o**2*x - 108*x**2 - 30*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*i**5 - 3*i**5 - 4*i**5 - 6*i + 6*i - 4*i**5 + (-1 - 1 + 3)*(3*i - i + i)*(i**4 + i**4 + i**4).\nAnswer: -2*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = 4*z - 0*h - 2, 6 = -2*z + 2*h. Let y be (-2 - 0)\/(9\/z). Which is the second smallest value? (a) -6 (b) y (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -26 - -80\/3. Let p = -1.1 - 2.9. Let d = 3.7 + -4. What is the nearest to 0.1 in p, r, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 98820 is divided by 10978.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 14, 3494.\nAnswer: -2, 14, 3494","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -2d7 (base 15) to base 5\nAnswer: -10102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -13 (base 4) to base 15\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/(-45) - 4\/10?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -119\/78 and 27\/338?\nAnswer: 1014","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-17 - -19) + (-7 - 0) + 4?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qanqqannaaaqqnanqnq. What is prob of sequence anqq?\nAnswer: 21\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:48 PM and 1:05 AM?\nAnswer: 677","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 9572 to the power of 1\/2, to the nearest integer?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -p**2 - 19*p + 78. Let h(m) = -m - 27. Let z be h(-8). Calculate the lowest common multiple of b(z) and 18.\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 3*l = 152, 2*i - 74 = -0*i - l. Is (-10)\/i - 275\/(-7) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 1\/9, 1\/8, -1\/5 in descending order.\nAnswer: 1\/8, 1\/9, -1\/5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -2, 0.27, 7190, -1, 0.1?\nAnswer: 0.27","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, e: 2}. Give prob of sequence ee.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 12 + 24 = 0. Suppose 1121 = 4*p - i, u*p + 2*p = -2*i + 1385. What is the greatest common factor of p and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 2443, 4903, 7373, 9859, 12367, 14903, 17473, 20083?\n\"Answer: q**3 - q**2 + 2456*q - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in three fifths of a centimeter?\nAnswer: 6000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 4*d**3 + 2*d**2 - 14*d + 13. Let v be z(1). Let a be 5 - (v - -2) - -2. Is 6\/205 > a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -2*p + 6. Let q be o(3). Suppose q*u = 3*u - 21. Is 7 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -64*h**2 + h + 65*h**2 - 5 + 3. Determine f(3).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 94 divided by -370.\nAnswer: -47\/185","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:42 AM and 12:30 PM?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-54)\/10 + 10\/25. Let o be 1\/(c\/2 - -2). Let k be (24\/(-9) + o)*-3. Calculate the highest common factor of 126 and k.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 61? (a) -0.08 (b) 0.12 (c) 1714\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -157 divided by 1.\nAnswer: -157","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -986*h + 1255*h - 15500 - 11938. Solve h = 21*y + 39 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2325, 3, 5145, -2, 4, 2 in decreasing order.\nAnswer: 5145, 2325, 4, 3, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -3695600 rounded to the nearest 1000000?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 0*f - 3*f - 9*f - 2*f + 11*f. Let h(u) = -u. Give -b(s) + 6*h(s).\nAnswer: -3*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 9*r**2 - 7695*r. Let g(b) = 184*b. Give j(g(m)).\nAnswer: 304704*m**2 - 1415880*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 52970 - (-8 + -12 + 6)\/(-2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = -123 - 189. Let y = u - -82. Solve y*b = -0*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor h**4\/2 - 7*h**3 - 87*h**2\/2 - 74*h - 38.\nAnswer: (h - 19)*(h + 1)*(h + 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -268 divided by -6\nAnswer: 134\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -10*b - 32. Let d(j) = 2*j + 6. Let u(t) = 16*d(t) + 3*l(t). Suppose 1 = h - 2. Let z(p) = -3*p**2 - h*p**2 + 2*p**2. Determine z(u(n)).\nAnswer: -16*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-11941 + (-1 - (-8)\/(-4)))*-2. What is the thousands digit of (-276)\/84 - -3 - h\/(-14)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -430565034 + -11?\nAnswer: -430565045","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -2*v**2 + 14*v. Let n(k) = 7*k**2 - 45*k + 3. Let f(i) = -3*b(i) - n(i). What is f(4)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-60*2\/(-72))\/(2\/6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1351900?\nAnswer: 2, 5, 11, 1229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*z - 2*z - 66. Let b = z - 2. Let a = b + -8. Is 12 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -3*(-8)\/(-30) - 399\/95. Let k(c) = 47*c**2 + c + 5. What is the thousands digit of k(o)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 174239969 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 0, 5\/9, 3\/14, 261 in descending order.\nAnswer: 261, 5\/9, 3\/14, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -129 - -93. Let f = g + 39. What is the biggest value in -5, f, -0.4, 1\/5?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 205, 199, 191, 181, 169, 155?\nAnswer: 139","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 238 minutes before 6:38 PM?\nAnswer: 2:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from llululllluluuulflle. What is prob of picking 1 u and 3 l?\nAnswer: 165\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:04 AM and 12:35 PM?\nAnswer: 331","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -361688392 take away -836?\nAnswer: -361687556","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 287\/(-41) + -2 + 4 + 8 + 0 + -4.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -v**2 + 3*v - 2. Let h(k) = -2*k**2 + 9*k - 6. Calculate -11*b(d) + 4*h(d).\nAnswer: 3*d**2 + 3*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 3385907 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3061, 3064, 3067, 3070?\nAnswer: 3073","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:11 AM and 2:20 PM?\nAnswer: 249","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = f**3 + 4*f**2 - 16*f - 10. What is w(-6)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-2)\/(-3))\/(4\/18). Suppose -k*a + a - 53040 = 5*d, -21225 = 2*d - a. Let n = d - -20310. What is n rounded to the nearest one thousand?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1155494.\nAnswer: 2, 31, 18637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -6*n + 4. Let d(j) = 20*j - 11. Let b(c) = 4*d(c) + 13*p(c). Let t(s) = -s. What is b(t(g))?\nAnswer: -2*g + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*h**2 + 11*h**2 - 22*h**2)*(0 + 0 - 1).\nAnswer: 7*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 111 = -x, 2*x = -3*c - 0*x - 111. Let n = c + 39. Suppose 4*z + 3*p = 103, n*p = 5*p - 3. What is the tens digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7, 4, 1, -2, -5?\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 7062*k**3 - 28257*k**2 - 35274*k + 45.\nAnswer: 3*(k - 5)*(k + 1)*(2354*k - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -760549, -760544, -760537, -760528?\n\"Answer: b**2 + 2*b - 760552","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 (base 3) in base 6?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 3, e: 11}. Give prob of picking 2 z.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1098364706?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/(-35)*5\/2\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = y - 8 - 16. What is the greatest common divisor of 8 and y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) be the third derivative of 0*y + 8*y**3 + 7\/6*y**4 + 0 + 99*y**2 + 1\/15*y**5. Solve n(b) = 0.\nAnswer: -4, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the second derivative of -p**4\/3 - 2*p. Let i(j) = 4 + j**2 - 10 + 6. What is k(i(t))?\nAnswer: -4*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -80bc29 (base 14) in base 12?\nAnswer: -1550939","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(112)\/sqrt(2))\/(4*sqrt(8)*1) - (0 + sqrt(1008) + 4)**2) + -3 + -5.\nAnswer: -1032 - 193*sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -5775 (base 13) in base 16?\nAnswer: -2fe8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 209 minutes after 4:46 AM?\nAnswer: 8:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.8 in -2\/107, -0.2, -36, -1.1, 1\/7?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2 + -2)\/(92\/(-138)). Calculate the highest common divisor of l and 10.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v**5\/11 + 64*v**4\/11 + 62*v**3 - 13048*v**2\/11 + 57824*v\/11 - 80512\/11 = 0 for v.\nAnswer: -17, 4, 37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -36*i**3 - 1 + 3*i + 65*i**3 - 28*i**3 to the form w*i**2 + m*i + f + p*i**3 and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1719753 or -1719752?\nAnswer: -1719752","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - 67 = -452. Suppose 2*g = 4*l - 328, -6*l + 5*l = -3*g - a. Is l a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -5 (b) -0.24 (c) 1247\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 81 or 149?\nAnswer: 81","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 1442.864kg?\nAnswer: 1442864","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 112416090 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = 2, p - 2*m = -p - 2. Suppose -5*c = -0 + 5. Which is smaller: p or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*k**4 + 3*k**4 - 2*k**4)*(14 - 13 + 13).\nAnswer: -28*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -71, 0.9, 10, -1\/6, -7, 18.\nAnswer: -71, -7, -1\/6, 0.9, 4, 10, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -58493438 rounded to the nearest one hundred thousand?\nAnswer: -58500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 37*h**2 - 2*h + 3. Calculate the remainder when i(1) is divided by 33.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (10\/(-9))\/((10\/9)\/(-5))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 222771793?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 56108 = -6*f + 8*f, -9 = 3*f. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -8549*g**3 - 8044*g**2?\nAnswer: -51294","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -11 - -6. Let s = h + 4.5. Let t = -0.3 - s. Which is the biggest value? (a) 0.3 (b) 0.4 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 253728 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2 + 2. Let j(p) = p**2 + 5. Let r be j(d). Let m(k) = -k**3 + 5*k**2 + k - 7. What is m(r)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 220, 457, 706, 967?\nAnswer: 1240","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s**3\/7 - 1828*s**2\/7 - 3704*s\/7 + 14688\/7 = 0. Calculate s.\nAnswer: -4, 2, 459","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -20665, -4.9, 1?\nAnswer: -4.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (183\/(-366))\/((-2)\/(-1)).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -55 + f3?\nAnswer: 9e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = x - 2. Let s be f(2). Suppose 0 = -5*u - s*u - 30. Let t = 6 + u. Solve t*b - 5 = b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 2*(2*(((sqrt(117) + sqrt(13))**2 - sqrt(13)) + 2) + (sqrt(13)*2*-5 + -3)**2).\nAnswer: 116*sqrt(13) + 3455","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -406*t = -6831 - 19615 + 8582 for t.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1291 = 7*n + 535. Does 36 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12)\/40 - 12896\/(-29120)?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1050 and 3300?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) be the third derivative of -l**7\/560 + 3*l**6\/160 + 3*l**5\/160 - 5*l**4\/16 + 3*l**3\/4 - 6750*l**2. Find m, given that g(m) = 0.\nAnswer: -2, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/(((t\/(t*t**(1\/2)))\/t)\/t))\/t*t)**(-5)\/(t\/t**(2\/3))**(-6\/7)*(t*t\/t**(-3)*t)\/t**(4\/5)*((t\/t**1)\/t)**(-10) assuming t is positive.\nAnswer: t**(-141\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 466821 - 466821 + 16*m**3.\nAnswer: 16*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = 0, 4*y - 2*z - 351 = 318 - 13. Does 82 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/15, 6110, -4, 0.03, 2\/11 in increasing order.\nAnswer: -4, 0.03, 2\/15, 2\/11, 6110","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2429 and 28.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -16 + 482\/14 - 3\/7. Calculate the highest common divisor of 1152 and p.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11011011 + -11001011010011?\nAnswer: -11001110101110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (21\/18)\/(16\/62304)?\nAnswer: 7, 11, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 5*u = -153. Suppose 4*l + 8 = -0*l. Let a be l*u\/2*-1. Calculate the greatest common divisor of 34 and a.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 365137 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -p**3 - 8*p**2 - 9*p + 4. Let y be x(-7). Suppose -8 = -13*h + y. Solve -2*o = -t + 3, -h*t + 9 = -5*o + 2*t for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*m + 5*m - 310. What is the units digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -2*z - 19. List the prime factors of (-3)\/(-30)*5*(-2898)\/z.\nAnswer: 3, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 k when two letters picked without replacement from {k: 2, q: 4, m: 1, z: 1, x: 3, l: 1}.\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (-6*sqrt(10)\/sqrt(2) + 3)*1 + ((sqrt(720) + -1)*-1)**2 + -4)*2.\nAnswer: -60*sqrt(5) + 1444","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = a**3 + 5*a**2 - 6*a + 2. Let s(h) = 3*h - 21. Let x be s(8). Suppose -x*q = -l + 6, -l - 4*l = 3*q + 42. Determine g(l).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7002559*-62\nAnswer: -434158658","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 5.099824 tonnes?\nAnswer: 5099824000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 98726 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 587688 smaller than 1.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 10 = -5*d. Let i = -34 - -104\/3. Sort -3, d, i in ascending order.\nAnswer: -3, d, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -62*x - 4. Let b be o(-9). Let i = b + -231. Suppose -13 - i = -4*j. What is the highest common factor of j and 56?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 13*b**3 + 222*b**2 + 15*b + 7. Let a(k) = -3*k**3 - 54*k**2 - 4*k - 2. Calculate 11*a(m) + 3*w(m).\nAnswer: 6*m**3 + 72*m**2 + m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*c + 0*c - 2*c**3)*(3 + 2 - 4)*(-21 - 5 + 9) to the form a*c + k*c**2 + q + b*c**3 and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 700 is divided by 251.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4865.1905366 + -4865.2. What is d rounded to three decimal places?\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 26*v - 2*v + 120 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 59\/12 and 14286\/2760 + -5 - 3\/5.\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 13912 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -838 + 1203 - j**2 - 3*j + 0*j**2 - 642.\nAnswer: -j**2 - 3*j - 277","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -59 + 31. Let m be 5*9*h\/(-60). Suppose -19*q - 136 = -m*q. What are the prime factors of q?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 854 + -3376. Let j = i + 16846\/7. Let v = 115 + j. Which is the third smallest value? (a) v (b) -0.3 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 40 or 39?\nAnswer: 40","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 183, 203, 237, 285, 347?\n\"Answer: 7*i**2 - i + 177","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4499)\/28072 - 12\/(-66). Is j at most 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3003300 rounded to the nearest one hundred thousand?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -2.21, -29, 0.5, 3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = o**3 - 2*o**2 + o + 1. Let y be p(0). Let q(b) = 21630*b**3 + 2*b**2 + 3*b - 4. Is q(y) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*y + 6*y - 18. Suppose y*o + 4 = 1, 0 = -4*d - o + 43. Suppose 0 = 2*i + 3*i - 160. Calculate the remainder when i is divided by d.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -63471 = -6*u + 31719. Suppose 16*l - 11*l - u = 0. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3653, -7307, -10961, -14615, -18269, -21923?\nAnswer: -25577","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = -p. Suppose -2*q = -p*q. Suppose -14*m - 9 = -17*m, 0 = 5*y - 4*m - 8. Solve 0 = -q*j + y*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00097082 to five dps.\nAnswer: -0.00097","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5*l*m**3*o - l*m**3 + 30*l*m**2*o - 3*l*m**2 - 19*m**3*o - o wrt m?\nAnswer: 30*l*o - 6*l - 114*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.03553 + -5.03553. Which is the closest to -0.2? (a) -0.3 (b) o (c) 7\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = -0*b + 16. Let z = -6 - b. Let m(s) = 2*s**3 - s**2 - 4*s + 3. Determine m(z).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 10) to base 9.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-66125 + 66125 - 13892*f)*(2*f**3 + 3*f**2 - 3*f**3 - 5*f**2).\nAnswer: 13892*f**4 + 27784*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -148 - 28*i - 9*i + 156 as d + a*i and give a.\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3 - (1 - (1 + -1)). Let k = 0 - -0.1. Let u = -0.2 + k. What is the nearest to w in u, 3\/4, 1\/3?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v\/(v\/(v**(-1)*v*v)))**(-7\/8)\/(v**(3\/22))**(-31\/3) assuming v is positive.\nAnswer: v**(-15\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*g - 24 = -5*g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 2*y = 1288, 0 = 5*p + 5*y - y - 3265. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 times -34\nAnswer: -136","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in 0.4, 3\/76, -0.2, -4, 1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.37, -5\/2, -7, 3, 7 in decreasing order.\nAnswer: 7, 3, -0.37, -5\/2, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1712037?\nAnswer: 3, 31, 41, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1855 + -1853. Which is the smallest value? (a) s (b) -2\/5 (c) -7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) be the second derivative of -7*c**3\/6 - 15*c**2 - 21*c - 8. What is x(-5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 44821966 divided by -2\nAnswer: -22410983","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0\/(35\/5)*(-1)\/2. Solve 2*u + h - 8 = i, 6*h - 6 = 5*u + 2*h for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -241 or -176?\nAnswer: -176","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -211 (base 3) to base 9.\nAnswer: -24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) be the second derivative of 8*a**5\/5 - a**4 + 6*a**2 - 19*a. Let w = 7 + -5. Let r(l) = 13*l**3 - 3*l**2 - 2*l**w - 3 + 8. Give -5*i(m) + 12*r(m).\nAnswer: -4*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (216 - 127 + 214)*(-11*k**3 + 17*k**3 + 25*k**3) to t*k**2 + q*k**3 + b*k + f and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.9 + -2.1. Let s(k) = -k**3 + 4*k**2 - 6*k + 6. Suppose 0 = -10*g + 5*g + 3*a + 9, 3*g - 1 = 4*a. Let x be s(g). Sort x, u, -2\/17.\nAnswer: u, x, -2\/17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = 6*p - 485. What are the prime factors of p?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:24 PM and 8:03 PM?\nAnswer: 399","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -30*g - 9. Let k be m(-5). Suppose -k = -y - 9. What is the units digit of y\/2 + (3 - 3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1644 and 104135481.\nAnswer: 411","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 41579 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -t**3 + 13*t**2 + 13*t + 14. Let n = 47 + -33. Let w be k(n). Suppose 2*a - 968 - 942 = w. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -11\/50888?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -5585 divided by 1117?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*i**2 - 25452*i + 127310.\nAnswer: -2*(i - 5)*(i + 12731)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2739\/35 + 397\/5. Factor 0*t + 8\/7*t**3 + d*t**4 + 2\/7*t**5 + 0 + 0*t**2.\nAnswer: 2*t**3*(t + 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*k - 3*k + 5*k + 0*k - 2*k + 3*k + (k - 3*k + k)*(-1 + 2 - 3) + k - 3*k + k - 1 + 1 + 2*k + (5 - 7 - 8)*(k + 3*k - 3*k).\nAnswer: -7*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*d + 1207 + 2*d**2 + 4*d**3 + 8*d - 1226 to u*d**3 + w*d**2 + s*d + a and give u.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ppcw when four letters picked without replacement from {n: 4, c: 2, p: 2, t: 3, w: 8}?\nAnswer: 1\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 263587434 is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 1 + (28 - (-26 - -62))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = q**2 - 11*q + 16. What is the smallest common multiple of y(12) and 36?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d, 1 a, and 2 c when four letters picked without replacement from {w: 1, d: 1, c: 6, p: 5, a: 1}?\nAnswer: 15\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 268 is divided by 27?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = 2*z + 10, -3*z = 2*z + 3*b + 4. Let r be ((-2)\/4)\/((-7)\/z). Let d = -2.98 - 0.02. Sort -2, r, d.\nAnswer: d, -2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nvdnt. What is prob of picking 1 v and 1 n?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is v in -2*v**5 + 8682*v**4 - 52044*v**3 + 104056*v**2 - 69360*v = 0?\nAnswer: 0, 2, 4335","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 79 is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 83305938 = 96*o + 83294322 for o.\nAnswer: 121","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -1371630, -1371632, -1371634?\n\"Answer: -2*p - 1371628","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 c and 1 w when four letters picked without replacement from ccwccwc.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wdkdwskwkkwywdww. What is prob of picking 1 s and 1 w?\nAnswer: 7\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*q**3 + 194*q**2 - 193*q**2 - 2*q**3)*(-69 - 152 - 260 - 110 - 382) to k*q**3 + b + p*q + l*q**2 and give k.\nAnswer: 3892","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 2*w + 88 = -2*w, -2*w + 96 = 5*i. Calculate the highest common divisor of i and 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 13415 and 465?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 154 + -3 + 3 + -3. Let r(n) = n**3 + 4*n**2 - 6*n - 4. Let c be r(-4). Suppose z + 207 = 2*f, -5*z = f + c - x. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -57, -82, -123, -186, -277, -402, -567?\n\"Answer: -n**3 - 2*n**2 - 12*n - 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + sqrt(432)*3.\nAnswer: 4 + 36*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 3414*m**2 - 3*m - 4. Let w(n) = 2*n**2 + 33*n + 15. Let p be w(-16). Is j(p) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(130)*3 + sqrt(130))\/(-1*sqrt(160)) - (1*sqrt(1573)*2*-1)**2.\nAnswer: -6292 - sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 69*r + 7917. Determine d(-116).\nAnswer: -87","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -423, -415, -407, -399?\nAnswer: -391","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*6*4*sqrt(1100)*-1 + (sqrt(1100) + 0 + 3 + sqrt(1100) - sqrt(1100) - (4 + sqrt(1100))*-5))**2.\nAnswer: -8280*sqrt(11) + 356929","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in 99\/5, 9, 0.32?\nAnswer: 0.32","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the third derivative of 27*d**2 + 2*d + 0 + 0*d**3 + 0*d**4 - 1\/30*d**5. Let o(g) = -11*g. What is x(o(i))?\nAnswer: -242*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 51*c**3 - 13702*c**2 + 9109*c + 805. Determine f(268).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = 4*z, 0 = -5*m - 2*z + 7*z + 340. What is the units digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 2*n)*(-380 + 1146 + 523 - 157 + 1507).\nAnswer: -5278*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -320, -318, -316, -314?\nAnswer: -312","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 183 = 29. List the prime factors of p.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1*3\/(-3) + 2)\/((-66)\/(-528)). Solve h = -7*s - 13 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2\/(-14))\/((-1)\/(-2)). Let k = 1\/122 + -257\/1586. Sort y, -0.4, k in descending order.\nAnswer: k, y, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7290 rounded to the nearest ten thousand?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -5 - (-7 + 0 - (-12 - -10))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -11.7 or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -p**2 - p - 1. Let i(m) = -m. Let b(u) = 6*i(u) - 5*n(u). Let v be b(-3). Let k = 58 - v. What is the highest common divisor of 5 and k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 109359075 and 175?\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2060124, 2060125, 2060126, 2060127, 2060128?\nAnswer: 2060129","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (100 - (176 + -9)) + 176.\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 5*a**3 - 5*a**2 + a + 6. Let o(z) = z**3 + 1. Let u(q) = -m(q) + 4*o(q). Let b(l) = -14*l - 53. Let c be b(-4). What is the tens digit of u(c)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -2*p - 7. Let c be f(-5). Let a be 5\/(-2)*(c - 5). Find the third derivative of 3*u**2 - a*u**3 + 6*u**3 + 4*u**3 + 2*u**2 wrt u.\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*i**2 - 218*i**4 - 2*i**3 - 1 + 216*i**4 + 3 as x + p*i + m*i**2 + b*i**3 + n*i**4 and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 409 = -6*z + 421. Calculate the smallest common multiple of z and 742.\nAnswer: 742","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(1573) - ((2 + sqrt(1573) - sqrt(1573)) + 5))*-1 + 5.\nAnswer: -11*sqrt(13) + 17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -26*b**2 - 1100*b - 1100*b + 2201*b - 4*b**4 in the form n*b**4 + z + t*b + q*b**2 + v*b**3 and give q.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 2 times 2.2859\nAnswer: 4.5718","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 173501*f**2*l*x**2 + 2*f**2*l - 16*f**2*x - 47*f*x**2 wrt l?\nAnswer: 173501*f**2*x**2 + 2*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*m - 2*m + 0*m)*(1 - 1 + 2*m) - m**2 - 2*m**2 + 5*m**2 + (-m - m + m)*(-93 + 120*m + 93) in the form q*m + p + y*m**2 and give y.\nAnswer: -116","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-1))\/((-5)\/10)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*54.35206.\nAnswer: -217.40824","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2 and -22.1242.\nAnswer: 44.2484","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 53 a factor of 15726915?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) be the second derivative of p**7\/4410 + p**4\/6 + 5*p. Let m(c) be the third derivative of s(c). Suppose m(l) = 0. What is l?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -14, -1\/7 in decreasing order.\nAnswer: -1\/7, -5, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -14.04 - -14. Sort -2\/3, m, -0.4 in ascending order.\nAnswer: -2\/3, -0.4, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 8894500 to the nearest 100000.\nAnswer: 8900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5.655 - -2.182. Round u to 1 decimal place.\nAnswer: -3.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -3*m - 10. Let v be t(-5). Let j be -2 - (1 - v\/1). Suppose j = -g + 7. Solve 6 = 2*q - 5*w, g*q - 7 - 8 = -5*w for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 430*l - 447 + 447 - 112*l as j*l + b and give j.\nAnswer: 318","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 2*o + 27. Let x(z) be the third derivative of 0*z**3 + 2 + 0*z + 195*z**2 + 1\/8*z**4. Calculate x(g(c)).\nAnswer: 6*c + 81","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wxx when three letters picked without replacement from {n: 5, x: 7, w: 2, r: 3, u: 1}?\nAnswer: 7\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 41, 2, -2\/5, -1.35.\nAnswer: -1.35, -2\/5, 2, 41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 3, n: 2}. Give prob of sequence neee.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 158, 619, 1284, 2153, 3226?\nAnswer: 4503","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44*q - 48 = -32*q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -34*p**2. Let o(h) = -2*h**2. What is o(y(u))?\nAnswer: -2312*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 157 times 0.188?\nAnswer: 29.516","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 54\/5 of a millennium?\nAnswer: 10800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.8 - 43.\nAnswer: -42.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 v when two letters picked without replacement from nnnvnigginnli?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 35040 and 240.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 a factor of 138704668?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 340328*h*s + 2*h - s**3*x + 21*x - 7249 with respect to s.\nAnswer: 340328*h - 3*s**2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - l + 0*l + 2*l)*(-1 - 1 + 0)*(-1 - 4 + 3)*(-1 - 2 - 6).\nAnswer: -36*l + 72","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 655 and 16264305.\nAnswer: 655","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4 + -1. Let o be (-3)\/2 - 21\/(-6). Let z be o + (2 - u\/3). Solve z + 2 = -5*d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -144 - 54. Let n = 210.5 + x. Round n to 0 decimal places.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*b + b + 7*b)*(5*b**3 + 6*b - 6*b) to q*b**3 + l*b**2 + a*b + w*b**4 + r and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3321 or 3320?\nAnswer: 3321","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 take away 8368836.21163?\nAnswer: -8368836.31163","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -77\/91131 and 1\/925.\nAnswer: 2278275","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1202, -3462, -7096, -11996, -18054, -25162, -33212, -42096?\nAnswer: -51706","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 76630666?\nAnswer: 2, 7, 389, 14071","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2262346*n**2*s + n**2 + 3*n + 2*s + 336233 wrt s?\nAnswer: 2262346*n**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 313725145?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*q**3 + 10*q**2 - 10*q**2 + (-3*q - 2*q + 3*q)*(-78*q**2 + 22*q**2 + 14*q**2) to j*q**2 + b + a*q**3 + i*q and give a.\nAnswer: 92","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-1) - ((-1035)\/(-81) + -11)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 - (-10 - (4 + -14))) + 0 + 12.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c**(1\/4)*c*c*c)**(-25)*(((c**(-3)\/c)\/c)\/c)**(-1\/65))**9)**(-1\/24) assuming c is positive.\nAnswer: c**(63303\/2080)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 8292 and -4.4?\nAnswer: 8296.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 342 divided by 1147609.\nAnswer: 342\/1147609","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*a**3 + 0*a**3 + 2*a**3 + (-8*a + 8*a + 8*a**2)*(-a - a + 0*a) as o + r*a**3 + j*a + y*a**2 and give r.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2921?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 5*u = 35, -7*p - 3*u + 43 = -2*p. Which is smaller: p or -4\/113?\nAnswer: -4\/113","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3231 + -3231.4. Put 44, 0.5, n, -1\/8, 0.2 in descending order.\nAnswer: 44, 0.5, 0.2, -1\/8, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -f**3 - 3*f + 1. Suppose 0 = -5*d - 31 + 1. Suppose -3 = p, -2*u = -p + 9 - 30. Let x be 16\/u + d\/(-27). What is i(x)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-9)\/6)\/((-7)\/(-14)). Suppose 3*y - 4 = -91. Let j be y\/u + (-4)\/(-12). Solve -r + 3*r - j = 0, -2*t - 18 = -2*r for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = r**2 + 52*r + 877. Let x be k(-29). Solve 6*a - 228 + x = 0 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -7*n - 1. Suppose -f - f = 2. Let x be (f\/(-2))\/((-3)\/6). Let z be p(x). Is 6 equal to z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*r**3 + 4*r - 4*r + 2*r**2 + 4*r**3 in the form s*r**2 + v*r**3 + d + z*r and give v.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (399\/56*2)\/((-9)\/6*(-6)\/12).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2501, 5, 0.5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2 + 5. Let g = -28.1 + 26. Let u = g + 1.1. Sort 2\/7, s, u.\nAnswer: u, 2\/7, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (n - 3*n + 4*n - 1)*(-4*n - 1175*n**3 + 972*n**3 + 3*n) in the form v*n + l*n**3 + k*n**4 + h*n**2 + i and give l.\nAnswer: 203","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + -10 - (-1 - 6) - -3.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = -4 - 5. Suppose -n*z = c - 239, -66 = -2*z + 3*c + 86. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the first derivative of 4\/5*k**5 - 20\/3*k**3 + 6*k**2 + 0*k - 50 + k**4. Factor l(c).\nAnswer: 4*c*(c - 1)**2*(c + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -137*o**2 - 139*o**2 + 275*o**2.\nAnswer: -o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*i = -14*i - 4. Suppose 0 = -i*a + 4 + 12. Suppose -s - 72 = -a*s. Solve 0 = 3*o + 5*d - 4 - s, 3*d - 10 = 5*o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10123102202 - 10203?\nAnswer: -10123113011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*t**4 + t**4 - 20*t**2 - t**4 - 15*t**2 wrt t?\nAnswer: 72*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in 116, -6, 3, -1\/5, 0.09, 7, 2?\nAnswer: 116","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 4*w**5 - 6*w**4 + 6*w**2 - 20*w. Let l(f) = -f**4 + f**2 - f. Let s(j) = -6*l(j) + v(j). Find the second derivative of s(h) wrt h.\nAnswer: 80*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2830*f**2 - 9274 wrt f?\nAnswer: 5660*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 955539 and 195.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (16\/6)\/(2\/(-1032)). Suppose 2*n + 2*n - 68 = 4*q, 2*q = 4*n - 40. Is 31 a factor of a\/q - (-2)\/(-7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 77370 a multiple of 181?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 9) to base 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -a**3 - 6*a**2 - 2*a + 4. Let l be d(-3). Let b be l\/(-3) - (-3)\/9. Let x = -3 + b. Solve 4*h - 3*h - x = 0 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 672 minutes after 12:20 AM?\nAnswer: 11:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1\/2 - 54\/4. Let x be (15\/(-10))\/(2\/4). Is -2 + (2 + x)*y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = a - 25. Let b(z) = 458*z. Determine l(b(m)).\nAnswer: 458*m - 25","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 352 and 128.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -15427529 rounded to the nearest 10000?\nAnswer: -15430000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 79 - -60882?\nAnswer: 60950","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/(-3) - 154\/(-33). Suppose 3*f - 1 = w*c, 2*f - 4*c + 11 = c. Find the third derivative of -7*t + 7*t - f*t**6 - 8*t**2 wrt t.\nAnswer: -840*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 117\/58880 and 97\/259072.\nAnswer: 1295360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6 and 1374.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -2*(-2 + 4)*-1. Suppose -3*f + 5*r - 18 = -4, -20 = -2*f - j*r. Suppose -n + f*n = 413. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 7 + 31*r - 12 + r**3 + 18*r**2 - 17. Let h be i(-16). Let b(a) = -a**3 - 5*a**2 + 6*a - 8. Calculate b(h).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -19*g**2*p**3 - 2*g**2 + 7*p**3 - 11 wrt p?\nAnswer: -57*g**2*p**2 + 21*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 212*d - 27 = 3*c - 215*d - 212*d + 642*d, 3*c + 32*d + 201 = 0 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = -3*w + 4*m, 4*w - 5*m = 34 - 5. Let c be 8*2\/(w\/3). Find the second derivative of -2*s**2 - 8*s + s + c*s + 5*s**2 wrt s.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 55150562?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -16 + 39. Suppose -4*y - l = 2*l + 3, q = y - 4*l. Suppose -y*z = -4*z + 3. Calculate the greatest common factor of z and 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p**3 - 3*p**2 - 2*p + 3. What is w(2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 406026 and 657.\nAnswer: 406026","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/(-1))\/(26\/13)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(104) + ((sqrt(104) - (sqrt(104)*-1 - sqrt(104))) + sqrt(104) - sqrt(104) - sqrt(104)) + sqrt(104))*-2 - sqrt(104))\/(4*sqrt(40)\/sqrt(5))*4.\nAnswer: -9*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (14\/98)\/(2\/12894).\nAnswer: 3, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1*(-3 - -2)\/5. Let y = 0.7458 - 2.7458. Which is the second biggest value? (a) -6 (b) y (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 3 - 2)*(-2 - 1 + 5)*(12*h**3 - 2 + 0*h**3 - 6*h**3).\nAnswer: -12*h**3 + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -k + 5*k + 5*h - 68, 0 = -3*k + 5*h + 51. Let v = 37\/2 - k. Let x = -0.065 - -0.065. Put v, 0.2, x in descending order.\nAnswer: v, 0.2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1333758.405 rounded to the nearest 100000?\nAnswer: 1300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(121) - -6*sqrt(121)*-1)\/(sqrt(891) - (sqrt(891)*1 + sqrt(891))).\nAnswer: 5*sqrt(11)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 42\/(-28)*-10*(-2)\/(-3). Let q(y) = 3*y - 26. Let r be q(c). Let m be (2 + -2)*2\/4. Solve 5*p - w - 7 = 0, 0 = 2*w - m + r for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 128273317 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 550?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -3*g. Let x(d) = -2232*d**2 - 465*d. Let p(a) = 5*a**2 + a. Let w(r) = -465*p(r) - x(r). Calculate k(w(h)).\nAnswer: 279*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 23 - 30. Let j be 30\/z - 18\/(-63). Let n be 4 + j + 15\/(-10). Is 4 less than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 44 + -40. Suppose -a*j + 387 = 7. Suppose c - 47 = 4*c + 5*r, 0 = -5*c - 5*r - j. Which is smaller: 2 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5807?\nAnswer: 5807","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-3 + 3 + -1)\/((-21)\/(-6))\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = 3*o - 4*o - 4, 0 = 4*o - 5*h + 1. Put -0.2, o, -2, 0.4 in increasing order.\nAnswer: -2, -0.2, 0.4, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 29\/357 and 25\/33.\nAnswer: 3927","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Are -33214 and -33213 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -573, -1140, -1693, -2226, -2733, -3208?\n\"Answer: w**3 + w**2 - 577*w + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/7, 1, 0.3, -1\/4, 6, -2.3, -5?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put together 6327830 and -0.0657598.\nAnswer: 6327829.9342402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(1*((sqrt(68) - 1*sqrt(68)) + -3) + 5)*2.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -59\/3534 and 149\/226176?\nAnswer: 226176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 17 = 2*p + i, -8 = -p + i. Calculate the least common multiple of 2*1*15\/6 and p.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = d**2 - 2*d - 6. Let i = 331 - 323. Suppose -45 = -i*s - s. Give r(s).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -2*d - 4*c + 10, -3*d = -5*c + 37. Let l = d - -7. Solve 0 = -f + l - 7 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -674*-292\nAnswer: 196808","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 23 = -4*q + c, -c - 13 = -2*q. What is the derivative of 3 + 3*y**4 + 3*y**4 - 2 - q wrt y?\nAnswer: 24*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-28 - (-2 + -25))*-27?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 43*n + 1178 - 8488. Calculate the remainder when n is divided by 58.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1 - 0. Let d be -2*(-2)\/((-1284)\/9). Let h = 627\/535 - d. Which is smaller: u or h?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d\/(d**35*d))\/(d\/(d*d**(-3\/7)))*(d*(d*d**(8\/9))\/d)\/d**(-4\/23) assuming d is positive.\nAnswer: d**(-46898\/1449)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -633, -2520, -5665, -10068, -15729, -22648, -30825?\nAnswer: -40260","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 30*s**3 - 11*s**2. Let w(m) = 10*m**3 - 4*m**2. Calculate -11*w(d) + 4*x(d).\nAnswer: 10*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5 + 312?\nAnswer: 317","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 19 - 16. Suppose r*y = -15 + 69. What is the remainder when y is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the first derivative of w**8\/8400 - w**6\/600 - w**5\/300 - 17*w**3\/3 + 9. Let r(d) be the third derivative of q(d). Suppose r(o) = 0. Calculate o.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 26572452?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 232 is divided by 72.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 9113.361 nanograms?\nAnswer: 0.000000000009113361","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10283?\nAnswer: 7, 13, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*i - i + 538*i**2 + 2503*i**2 - 385*i**2 + 33*i**2 + 0*i.\nAnswer: 2689*i**2 + 2*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i, 1 j, and 1 m when four letters picked without replacement from iiuijuummuubium?\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 18 + -16. Factor 3*t**2 - 6*t**3 + 0*t**4 - 5*t**g + 6*t**2 + 2*t**4.\nAnswer: 2*t**2*(t - 2)*(t - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -2*f + 26. Let q be s(8). Let m be q + -3*(-10)\/(-15). Let k(g) = 98*g + 34. Is k(m) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8)\/1)\/((-10)\/15*1).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -7 + 0*h**3 + h + 1 + h**3 + 8. Suppose 4*j - 20 = 4*d, -5 = -2*j + 5. What is the units digit of c(d)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1\/4 or -163?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -18 - -10. Let q = 1 + h. Let d(n) = n + 7. Give d(q).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 6, e: 3, a: 2, x: 8}. What is prob of sequence ww?\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5302*x - 3*f = 5280*x + 675, -4*f = 4*x - 100 for x.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -420*a**2*x**3 - 10732*a**2 - 52*a*x**3 - 3*a*x + x**2 + 1427*x - 9 wrt a?\nAnswer: -840*x**3 - 21464","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 171884593?\nAnswer: 47, 3657119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 72 = -3*r. Let g be (-3)\/6*3*-2. Suppose 5*x + r = 4*j + 3*x, g*j + x - 6 = 0. What are the prime factors of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 122 - 127*m - 63 - 8*m - 59 + 2*m**2.\nAnswer: 2*m**2 - 135*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -16 - -19. What is the tens digit of -554*p\/(-21) + 4\/(-28)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -199 and 318.1.\nAnswer: -63301.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2550)\/(-120) - (-21)\/12. Solve 0 = l*w - 32*w - 9 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3*b**3*k*v**2 + 12*b**3*v**2 + 2*b*k*v**2 - k*v - 2*v**2 wrt k.\nAnswer: 3*b**3*v**2 + 2*b*v**2 - v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve k + 5*y - 6*y + 7 = 0, -4*y + 16 = 0 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -3828*g**4 + 5836*g**2 - 8. Let h(l) = 3826*l**4 - 5837*l**2 + 10. Let k(z) = -4*h(z) - 5*x(z). What is the third derivative of k(c) wrt c?\nAnswer: 92064*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.03802 * 1.7.\nAnswer: -0.064634","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -2*k - 15. Let w be y(-11). Suppose 8*l = w*l. Which is the second biggest value? (a) l (b) 2\/9 (c) 8\/5 (d) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uqfyyf. What is prob of picking 1 u and 1 f?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = p + 55, -5*m + 5*p = 3*p - 139. Suppose -5*t - 50 = -5*l, l - 3*t = m - 9. What is the remainder when l is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 2*k + 6. Let p(n) = 4*n. Let b be p(-1). Let j be o(b). Let h be j\/12*4*1. Are 0 and h equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1625*k + 164 - 2*k**3 - 2*k**3 - 165 + 2*k**3.\nAnswer: -2*k**3 - 1625*k - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = 3, 4*d + 50 - 64 = f. Which is greater: f or 54?\nAnswer: 54","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 3015609963 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -41*i + 60. Let z(n) = -22*n + 33. Let k(o) = 6*h(o) - 11*z(o). Calculate k(9).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -z + 2. Let x be o(4). Let p(c) = -c**3 + 13*c**2 + 12*c + 29. What is the remainder when p(14) is divided by 1 - 2 - (x - 0)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(-4 + sqrt(52)*-2 + 0 - (-2*sqrt(1872) + 1)))**2.\nAnswer: -7200*sqrt(13) + 188100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -12 + 12.3. What is the nearest to -1\/2 in d, 0.2, 1\/3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*c**3 + 0*c**3 + c**3 + (4*c - 4*c + 2*c**2)*(-4 - 2*c + 4) - 2*c**2 - 2*c**3 + 2*c**2 + (-5*c**2 + 2*c**2 + 2*c**2)*(-3*c - 3*c + 3*c).\nAnswer: -2*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -161, -323, -483, -641, -797, -951?\n\"Answer: g**2 - 165*g + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*w - 43*w**2 - 47*w**2 - 46*w**2 - 61*w**2 - 51*w**2 + 247*w**2.\nAnswer: -w**2 + 12*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.65 - -0.63. Let g = -97.13 + 102.2. Let f = g + -0.07. Sort 1, f, d.\nAnswer: d, 1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1)\/((2\/(-20))\/((-36)\/(-8))). Let m(v) = v**2 - 62*v + 683. Let d be m(13). Which is smaller: d or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 5 + 29)*(-437 - 254*o + 437).\nAnswer: -8128*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*-1*sqrt(57) - sqrt(57) - (sqrt(57) - (sqrt(5700) + sqrt(5700) + sqrt(5700)*-1)))\/(-1*sqrt(3)*4 - (sqrt(18)\/sqrt(3))\/sqrt(2)).\nAnswer: -13*sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*k - 15 = -2*i + 2*k, 3*k = i - 13. Let x be -30*44\/i*1. Is ((-7)\/(-3))\/((-4)\/x) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 395.67 + -396. Let m = r + -3.2. What is m rounded to 0 dps?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 30 + -38. Let w be 2\/((x\/(-60))\/(-1)). Let y be (-128)\/9 + 4\/18. Which is bigger: w or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2 + 5. Suppose 0 = -4*n + h*n + 11. What is the tens digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 24905641 + -14073641. What is o rounded to the nearest one hundred thousand?\nAnswer: 10800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x - 392 + 414 = -p, 3*p = x - 2 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0, 6.32, 3?\nAnswer: 6.32","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 6599 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence omkm when four letters picked without replacement from kkkxokzokkkomxzke?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.009414967596 to 6 dps.\nAnswer: 0.009415","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -105\/15368 and 67\/672.\nAnswer: 1290912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 4*h + 386. Let k be t(-25). Solve 9*x + k - 331 = 0 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of 85579865?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -j**3 - 6*j**2 - j - 6. Let c(x) = x**2 + 7*x + 6. Let t be c(-4). Let u be f(t). Solve -l + u*l = 5 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 230*f**4 + 139*f**2?\nAnswer: 5520*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 28*s**2 - 597*s?\nAnswer: 56","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -253080 rounded to the nearest 10000?\nAnswer: -250000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -13, -6, -9, 0 in descending order.\nAnswer: 0, -4, -6, -9, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.33, -0.4, -504?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3938988 to the nearest integer?\nAnswer: 1985","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*p**2 + 276*p + 540.\nAnswer: 3*(p + 2)*(p + 90)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3373, -6617, -9857, -13093?\nAnswer: -16325","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*4*-2*sqrt(78))\/(sqrt(6) - sqrt(18)\/(sqrt(3)*-2) - (sqrt(150) - 2*sqrt(150) - sqrt(6))).\nAnswer: 32*sqrt(13)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a**4 - 14*a**3 + 34*a**2 - 34*a + 12 = 0.\nAnswer: 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*u**4 - 235*u**3 - 1785*u**2 - 2725*u + 4750.\nAnswer: -5*(u - 1)*(u + 5)**2*(u + 38)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -4*r**3 - 9*r**2 - 11. Let z(y) be the second derivative of -y**5\/10 - y**4\/3 - 5*y**2\/2 - 13*y. Give 4*s(g) - 9*z(g).\nAnswer: 2*g**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7 - 140) + -35 + 19 + 25 + -29.\nAnswer: -153","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -1. Let s(g) = 2*g**2 + 5. Let w(n) = 5*m(n) + s(n). Let f be w(-1). Solve f*l + l - 6 = 0 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = b**2 + 2*b. Let z be p(-5). Suppose 534 = 4*k - 3*a - 0*a, -k - a = -137. Calculate the highest common factor of k and z.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1)\/3*2664\/(-24). Suppose w*o + 528 = 38*o. List the prime factors of o.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 664 + 78. Let h = s - 527. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/(-18) + 11\/30?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 168576?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 2*a = -32 + 6, 2*v - 14 = 2*a. Suppose v = 2*u, -4*b + 5*u = -5 - 4. Let w be 4\/b + 146399992\/12. What is w rounded to the nearest one million?\nAnswer: 12000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 593*t - 5*c + 6981 = 596*t, 3*c - 2319 = -t. Is t a multiple of 41?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 275780881 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 452 = -4*k, 2*k - 284*m + 289*m = 202. Let b(n) = -n**3 - 7*n**2 - n + 2. Let s be b(-8). Calculate the highest common divisor of s and k.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 163 * 11\nAnswer: 1793","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2895 divided by 13.\nAnswer: 2895\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 27\/2389 != -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -91 times 1661566?\nAnswer: -151202506","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k**4\/2 + 4335*k**3 - 809930*k**2 - 4335*k + 1619865\/2 = 0. Calculate k.\nAnswer: -1, 1, 213, 1521","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*d - d + 1 - 3*d)*(271*d**2 - 540*d**2 - d**3 + 270*d**2 - 251) in the form a*d**3 + n*d**4 + u + h*d + s*d**2 and give a.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*h**5 - 3*h**5 + 4*h**5 + (-3*h**2 + 3*h**2 - 6*h**3)*(3*h**2 - 3*h**2 - h**2) + h**5 + h**5 - h**5.\nAnswer: 8*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 2*a**2 + a - 9. Let h = 94 - 91. Let r be p(h). Find the common denominator of ((-176)\/r + 2)\/((-4)\/(-15)) and -21\/22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) be the first derivative of -r**4\/4 - 14*r**3\/3 - 3*r**2 - 13*r - 21. Is b(-14) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -209.1 - -190. Let t = p + 19. Is t != 0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11000001011101011010 + 10?\nAnswer: -11000001011101011000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 583*q - 581*q + 10. Let n = -42 + 45. What is the smallest value in n, q, 1\/4, 2?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2 - -5. Let v = -574 - -1198. Suppose 0 = -11*p + i*p + v. Calculate the remainder when p is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -761182*a**3 - 44502*a**2 - 22 wrt a?\nAnswer: -4567092","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.63 in -0.1, 5\/16, 7, 3\/4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 285*k**5 + 13*k**2 + 3*k - 16.\nAnswer: 17100*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 58*x + 3 - 58*x - 2 - 2 - 227*x**2 in the form m*x**2 + s*x + d and give m.\nAnswer: -227","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.7712261 nanograms to micrograms.\nAnswer: 0.0007712261","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = u**2 + 12237*u + 171071. Give t(-14).\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(420)*-2)\/sqrt(7) + sqrt(60))\/sqrt(12)*5 + -5)**2.\nAnswer: 50*sqrt(5) + 150","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-6)\/(-10) - (-8)\/(-5). Which is the closest to -0.1? (a) -4 (b) 1\/2 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 809017.8 millilitres to litres.\nAnswer: 809.0178","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 27*p - 100. Determine x(-16).\nAnswer: -532","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -509444.53 - -512081. Let z = k - 2648. Let s = z - -1.13. What is s rounded to the nearest integer?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -w**2 + 3*w + 7. Let k be f(5). Let n(o) = -o**3 - 4*o**2 - 4*o - 1. What is the remainder when (-10)\/(-6) - 91\/(-39) is divided by n(k)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -d - 4. Give q(-4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = -2*n - 6, l + 2*n - 2 = -l. Suppose z - 3*z = -l. Sort -0.5, 0.1, z in decreasing order.\nAnswer: z, 0.1, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(6)\/(sqrt(3) - sqrt(243)) + sqrt(2) + sqrt(6)\/sqrt(3)*2 + 0)*6 + 3.\nAnswer: 3 + 69*sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1486 (base 9) to base 15.\nAnswer: -506","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -143\/36 and 53\/48084.\nAnswer: 144252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**29*q*q*q*q**(-4\/3))**(-3\/40) assuming q is positive.\nAnswer: q**(-23\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) be the third derivative of 0 + 0*a**3 - 1\/8*a**4 + 5*a**2 + 0*a. Let b(c) = -9*c. Determine t(b(j)).\nAnswer: 27*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o - 3*x = 4, 61*o + 18 = -85*o + 151*o - x - 15 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 48\/23, -0.01, -1.1?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 11366 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - m + 5*m + 3 = 0, 3*v = -5*m - 3. Let y = 4 - v. What is the remainder when 18 is divided by y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -61*q*w**4 + 137*q*w**2 - 2*q*w + w**3 wrt w.\nAnswer: -1464*q*w + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 3.523 times 19\nAnswer: 66.937","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + 9 + -1 - (-1 + 2).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -61 + 60.8. Let l be (8\/70)\/((-18)\/45). Let b be -1 + (-6)\/10 + 2. What is the closest to b in 6, l, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 330 = -5*p, 22*l - 11*l + 1094 = -p. Which is greater: -95 or l?\nAnswer: -95","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 10}. What is prob of sequence bbb?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -95\/108 and -23\/1134?\nAnswer: 2268","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10000 - 10100110110010010100111?\nAnswer: -10100110110010010010111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of -12 and 0.055.\nAnswer: -0.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) be the first derivative of 4*b**3 + 27*b**2\/2 - 29. Find the second derivative of w(r) wrt r.\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in -3986, 7, 1\/62, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Do -96255 and -96267 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve q = 5*l + 6*q + 15, -2*l + q + 9 = 0 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 88 minutes before 8:25 AM?\nAnswer: 6:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 5*o**2 + 22*o + 8. Let w = 117 + -124. List the prime factors of i(w).\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-5)\/15)\/((-1)\/6). Let s = -181 + 183. Calculate the greatest common divisor of s and y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from luvxvuxxxvlvvluxluvl. What is prob of picking 2 l and 1 v?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -5*n**2 - 4. Let z be g(-3). Let b = -10 - z. Let u = b + -28. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.119 + -0.11967. What is c rounded to 4 dps?\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 203*i**2 - 52*i**2 + 38 - 55*i**2 - 8*i**3 - 96*i**2.\nAnswer: -8*i**3 + 38","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-10 + 3)\/1 + 0. Let a(t) = -t**2 - 4*t + 12. What is a(z)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n**(-2\/7)*((n\/n**4)\/n)\/n)**(24\/5)\/((n**(-1\/2)\/(n*n*n**(2\/7)))\/((n**(-7)\/n)\/n*n**2)) assuming n is positive.\nAnswer: n**(-347\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ppt when three letters picked without replacement from pptppt?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 (base 7) in base 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 2+0.0299871359527\nAnswer: 2.0299871359527","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 324 and 216.\nAnswer: 648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7538 by 3392.\nAnswer: -3769\/1696","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -110.1 - -110. What is the second biggest value in s, -1\/7, -5?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a meter in millimeters?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 682 minutes before 2:52 AM?\nAnswer: 3:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1409\/63 + -200\/9. Which is the nearest to -1\/8? (a) u (b) 1 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 112020122221 (base 3) in base 10?\nAnswer: 280420","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.7 in 0.5, -0.9, -2\/7, 5, 0.0191?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 0.1, -4, 5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 539689.\nAnswer: 73, 7393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w**3 - 5*w + 174. List the prime factors of p(0).\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-8)\/6 - (-22)\/(-6). Let l be 7\/d - 8\/(-8). What is the second biggest value in 6, -0.2, l?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1001101110 + -100010000?\nAnswer: 101011110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 10301 and 5277?\nAnswer: 54358377","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 20199 - 80799\/4. Let w be 0\/1 - 2\/8. Which is the closest to -59? (a) -5 (b) w (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = y**2 - 2*y - 3. Let l be (-91)\/42 - (-2)\/12. Determine n(l).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000195347 rounded to six dps?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9312966?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 308715, 308719, 308711, 308685, 308635, 308555?\nAnswer: 308439","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2268.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2 + 5. Let g(f) = -604*f - 10 + f**2 + 609*f + 14 - 8. Let u be g(k). Solve a + u = -4*a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 322, 643, 962, 1279, 1594, 1907?\n\"Answer: -c**2 + 324*c - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 36a (base 11) to base 13\nAnswer: 27a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 79*k = 76*k + 6. Factor -b**k - 2*b - 7*b + 3*b**3 + 8*b**2 - b**2.\nAnswer: 3*b*(b - 1)*(b + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = -4*k + 2*x, -2*x - 6 = -4*x. Suppose -2*u - k = -5*u. Suppose -f - 4 = f, u*f - 24 = -3*j. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29810257 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 31\/88 and 89\/16?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1190 and 6970.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.3 + 0.4. Let a = u - -0.9. What is the nearest to a in 2\/3, -3\/4, -5?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1837477 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) be the first derivative of -5*r**2 + 4 - 4*r - 1\/3*r**3. Calculate the remainder when v(-7) is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 437\/3 - 146. What is the fourth smallest value in 2, n, 0.1, 3\/4, 0.026?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in 8\/7, 3, 4?\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 9 = -5*m, 4*f + 12 = -2*m - 0. Solve -q + m*q - 5 = 0 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -485*v + 54*v + 7528 = -4971 for v.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.15 times 885.2276?\nAnswer: 132.78414","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ppjqej. Give prob of sequence eq.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20496 is divided by 549.\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -6*h**3 + h**2 + h - 2. Let v be z(1). Let u be (v\/5)\/((-28)\/630). Solve -2*d + 5*p = 21, -2*p + u - 7 = 5*d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of w**3*y**3 - 393*w**3*y**2 - 3*w**2 + 9*w*y**3 - y**2 wrt w?\nAnswer: 6*y**3 - 2358*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-20)\/(-5)*1\/(-1)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yyyyttyyyytyty. What is prob of sequence yytt?\nAnswer: 45\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 117\/68 - 42\/17. Which is the closest to 1.7? (a) -4 (b) z (c) 2\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 4*z + 18 = 0, 3*p + p - 5*z = -12. Suppose -5*b = -10*b - p*c + 16, -4*b = 4*c - 20. Solve -b*t + t = 3 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 196441 is divided by 805.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 222229563 to the nearest integer?\nAnswer: 606","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*j - 98 = -62 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 3*p**3 - 14*p**2 - 19*p + 39. Let k(i) = -i**3 + i - 2. Let a(j) = b(j) + 2*k(j). Give a(15).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6291 (base 15) in base 14?\nAnswer: 7844","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -38*y + 68. Let f be b(6). Let l = f + 221. What is the units digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(91) - (sqrt(91)*-1 - sqrt(91)))*-1 - (sqrt(91) - sqrt(91)*3*2))\/(-1*sqrt(112) + sqrt(112) - (4*-1*sqrt(7) + sqrt(7))).\nAnswer: 2*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 times 8.523143\nAnswer: 4.2615715","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -m**3 + 2*m**2 + 3*m - 3. Let w be c(2). Suppose 3*f = -w*f + 10446. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*a + 6 = -19*a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iiic. Give prob of sequence icii.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 38 divide 53179632?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -1\/2 (b) 0.02 (c) 3 (d) 170\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(2 + sqrt(3) + 0 - sqrt(15)\/(sqrt(5)*2)))**2.\nAnswer: 72*sqrt(3) + 171","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 less than or equal to 42\/18037?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v*v**(-5)\/v)\/(v*v**(3\/7)))\/(v**(-2\/3)*v)**40 assuming v is positive.\nAnswer: v**(-394\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 59302a (base 11) to base 15.\nAnswer: 138c69","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rhhhrpipqprpphh. Give prob of sequence iphr.\nAnswer: 5\/2184","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 74 (b) -2 (c) -3 (d) 1\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 6 - 10)*((123 + 101 - 162)*(0*z - 2*z + 4*z) - 1 + 3*z + 1).\nAnswer: -762*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3.5 + 3.7. What is the third smallest value in i, 1, -0.4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xcc. Give prob of picking 1 c and 1 x.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.6, -0.4, -1093, -11\/4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + 3*sqrt(3))*3 - sqrt(21)\/(sqrt(28) + sqrt(7))*4.\nAnswer: -3 + 23*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3 (b) 11893 (c) -1 (d) 2 (e) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -7*j**3*s**2 + 93*j**3*s + 4*s**2 - 5217*s wrt j.\nAnswer: -21*j**2*s**2 + 279*j**2*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1731 is divided by 264.\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 6, l: 3, y: 2, e: 1, t: 3}. What is prob of picking 1 y and 1 e?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - -4) + 4 - (4 - 3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 25.7427 take away 508?\nAnswer: -482.2573","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 * 354.\nAnswer: -1770","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = c - 13. Let p be u(-6). Let q = p - -23. Calculate the smallest common multiple of q and 2.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 204*y**5 + 30914*y**2 + 7*y + 69460?\nAnswer: 4080*y**3 + 61828","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -85*y + 554 - 3614. Let p(i) = -i**3 - 35*i**2 + 34*i - 82. Give p(y).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-15*z - 13*z**2 + 15*z)*(1 - z - 1)*(9 + 28 + 5) as v*z**3 + r*z + p + s*z**2 and give v.\nAnswer: 546","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 453 - 765. Let h = -218 - z. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00006112 to four decimal places.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*f + 4, 2*f + 5 + 1 = i. Suppose -3*m = -a + 3*a - 37, 5*a - 55 = -5*m. Solve d = -4*g, i*g - 3*g + 4*d = m for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 143 and 871.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -27, 66, -4, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.2 (b) 1 (c) 0 (d) 6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -13*b**3 + 35*b**3 - 11*b**3 - b**2 wrt b.\nAnswer: 66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 84436185 and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -60*x + 145*x + 14*x + 82*x.\nAnswer: 181*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2006.\nAnswer: 2, 17, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (757 - 1617 - 2114 + 5)*(0*i**2 + 0*i**2 - i**2)*(0*i**2 + i**2 - 2*i**2).\nAnswer: -2969*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 0.125 * 5\nAnswer: 0.625","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 2*b**2 - 13*b - 9. Let f(q) = -q**2 + 6*q + 4. Let v(u) = 13*f(u) + 6*t(u). Give v(0).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 142, 587, 1330, 2371, 3710?\nAnswer: 5347","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -900 - 339*j - 11 - 375*j + 718*j to t*j + w and give t.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (-60)\/150*-3*(-1)\/(-2)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 100*s + 408 = -92 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -k - 5. Let u be (-78)\/(-15) + -5 - (-2)\/(-10). Calculate p(u).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 162 + -99. Let i be 1 - 7\/(m\/6). Let x = 16.7 - 33.7. Which is smaller: x or i?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 166 (b) -0.4 (c) -65700\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -a**2 - 1. Let f be (-3)\/(-6)*6\/(-1 + 4). Let o(w) = -w**3 - 2*w**2 - 2. What is f*o(s) - 2*b(s)?\nAnswer: -s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - j)*(0*j + 0*j + j**2)*(3*j**2 - 3*j**2 - 2*j**2).\nAnswer: 2*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1 + -7*5)\/(-52 - -51). Let q = 42 + -72. Let t = w + q. Is t at most 6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -2\/13 (b) -4 (c) 0.14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 38, 154, 352, 632, 994, 1438?\n\"Answer: 41*m**2 - 7*m + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 16 (b) -4 (c) 0 (d) 0.4 (e) -0.4 (f) 0.868\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q**2. Let x(r) be the first derivative of -10*r**3\/3 + 5*r + 6. Let h(w) = -15*w**2 + 7. Let p(k) = -5*h(k) + 7*x(k). Give p(v(b)).\nAnswer: 5*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*r = 6*r + 8. Let y be (-1)\/((8\/r)\/(-4)). Which is the nearest to 0? (a) -0.4 (b) -1 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 280628 is divided by 8763.\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 241633 divided by -28\nAnswer: -34519\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 840 and 120?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -11\/188 and 15\/1504?\nAnswer: 1504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 120607 is divided by 5025.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 168, 4, 17 in ascending order.\nAnswer: 4, 17, 168","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -11\/3813768 and 59\/4704?\nAnswer: 15255072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b + 478 = -5*y + 473, -2*b = -5*y - 15 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*o**6 - 6679935*o**4 - 474323252*o**2?\nAnswer: 360*o**3 - 160318440*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-2\/9)*l\/((l\/l**(6\/17))\/l)*(l**17\/l)\/((l**33*l)\/l) assuming l is positive.\nAnswer: l**(-2428\/153)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 98 = -4*n, 0*n + 5*n + 2*o - 109 = 0. Is n a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 27, -3, -972 in increasing order.\nAnswer: -972, -3, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -149*a = -148*a - p - 50, -5*a + 4*p = -244. What is the remainder when 656 is divided by a?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 113882474.\nAnswer: 2, 83, 686039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 4*q = 30. Suppose -w = w - q. Suppose b = 3*b. Put w, 5, b in descending order.\nAnswer: 5, w, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-13)\/13 + (0 - -17). Solve 44\/5*p**3 + k*p**2 - 8\/5 + 28\/5*p = 0.\nAnswer: -1, 2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3)\/(-3)*(-2 - -624). Suppose 5*p + 2*g = 807, 0 = 3*p + g + 137 - w. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x and 1 q when three letters picked without replacement from qxxxxxxbbxxxxx.\nAnswer: 55\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 8\/(-3)*(-8)\/(-96). Let g = -0.3 + 0.3. Suppose 2*l = -s - 6, 3*l + s + 9 = 5*s. Put g, i, l in increasing order.\nAnswer: l, i, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -13\/116370 and 21\/144385.\nAnswer: 7796790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -37 - -62. List the prime factors of c.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**23\/(k\/(k*k\/(k*k**(-5\/4)*k)))*(k**13*k)**(1\/2) assuming k is positive.\nAnswer: k**(121\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1785 or -1790?\nAnswer: -1785","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*o + 62 - 216. What is the highest common factor of o and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -76 - -126. What is the remainder when z is divided by 2 - (-30)\/(-4)*-2?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4691*m**4 + 1 - 242*m**2 + 0*m - 3 - m + 4690*m**4 to the form h*m + v*m**2 + n*m**4 + d*m**3 + u and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -a (base 11) to base 10\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 551, 635, 719, 803, 887, 971?\nAnswer: 1055","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1010975353 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*h**2*o - 36*h*o**2 - 5*h + 2642*o**2 wrt h?\nAnswer: -4*h*o - 36*o**2 - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + q)*(q**4 + 0*q**3 + 0*q**3) + (3 - q**2 - 3)*(4 - 2*q - 4)*(0*q - q**2 + 0*q).\nAnswer: -q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (3 - 117\/21)*-7. Let f = v - -2. What is the units digit of f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -4*j - 2*u, j + 1018*u - 1023*u - 32 = 0. Solve -3*x = -4*z - 15 + 10, -j*x + 10 = -4*z for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve s = -2*n - 0*n - 41, 151 = 46*s - 219020*n + 219015*n for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/f**(2\/5))**(-15)\/((f\/f**(-1))\/f*((f**(-5)*f)\/f*f)\/f)*(f\/f**(-5)*f)\/(f**(-2\/13)*f)*f**(-6)\/f**1 assuming f is positive.\nAnswer: f**(-76\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -74*q**4 - 4*q**2 + 62*q**3 - 69*q**4 + 232*q**4 - 87*q**4 + 2*q in the form u*q**4 + l + r*q + a*q**2 + c*q**3 and give c.\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.7 + 22.8?\nAnswer: 24.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5539, -5430, -5321?\nAnswer: -5212","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3627 and 351.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-160 - -163) + (1 - 9) - (2 + -2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/k**(7\/2)*k*k**(-1\/3)*k)**39)**(-3\/23) assuming k is positive.\nAnswer: k**(195\/46)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1 - -2. Let g = -310 + 212. Let m = g - -98.3. What is the smallest value in m, h, 0.2, 4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) -0.3 (b) -189 (c) 2 (d) -114\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 61380*u - 61382*u = 3*p - 4 - 4, u + 4*p + 1 = 0 for u.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 110483 equal to 110495?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -36 + -4?\nAnswer: -3a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**8\/g*g\/g**(-2)*(g\/((g**(2\/5)\/g*g)\/g))**(2\/51))\/((g**0\/g)**28)**(-2\/25) assuming g is positive.\nAnswer: g**(9974\/1275)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4 + (31 - (-4 + 12\/4)). Calculate the common denominator of ((-14)\/8)\/7 - 115\/g and 25\/19.\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1995?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) be the first derivative of g**6\/120 - g**4\/24 + g**3\/3 + 11*g**2\/2 + 11. Let k(w) be the second derivative of t(w). What is k(0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1278491 is divided by 4917?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 1, -2, -1 in decreasing order.\nAnswer: 1, -1, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r = -13*u + 45, 66*u + 2*r = 61*u + 35 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3844?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -1 - 4\/(4\/(-1)). Let g be (-3 + 3 + y)\/(-2). Determine n so that g*n - 2\/9*n**4 + 0 + 4\/9*n**3 - 2\/9*n**2 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 953*w + 188695. Give i(-198).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 32*n - 3*n - 74*n - 25*n - 3990 for n.\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2278376 to the nearest integer?\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is ((0 - -293) + -1)*45\/36 a multiple of 56?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 13) to base 16\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.2 and 0.1881231?\nAnswer: 0.03762462","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ipko when four letters picked without replacement from xiokpix.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 88122\/24 - (-7)\/28. Calculate the highest common factor of 136 and w.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.1 + -0.9. Let l(g) = g**2 + 3*g - 10. Let i be l(-5). Which is bigger: i or d?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -2*(3 - 0)*(5 - (-39)\/(-9)). Suppose y + 2*s = -5 + 3, -2*s = 3*y - 6. Put u, y, -2, 0 in descending order.\nAnswer: y, 0, -2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 264 - 274. Let x(w) = w**3 + 10*w**2 + w + 11. What is x(p)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -50*a**2 + 3631*a - 246. Calculate c(71).\nAnswer: 5505","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x\/(x*x**(-44)))\/((x*x**(-10))\/x))\/(x\/x**(-31)*x*(((x*x\/(x*x**(-48)\/x))\/x)\/x)\/x) assuming x is positive.\nAnswer: x**(-25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3283*d - 111023 + 6974 = -9981*d + 36609 for d.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3 - -1. Let t = 81409\/2 + -40706. Put -3, t, -3\/4, z in descending order.\nAnswer: -3\/4, t, z, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-21)\/3 - (-22 + 24). Let o be l\/6 - ((-942)\/12 + 4). Solve o*a = 70*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k**2 - 38*k + 352. Give x(15).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2*s**3 - 1)*(10 - 9*s**2 - 2 + 12*s**2).\nAnswer: -6*s**5 - 16*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 287116281?\nAnswer: 3, 17, 701, 2677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 42.06852 centuries to decades.\nAnswer: 420.6852","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -623 (base 8) to base 14\nAnswer: -20b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:58 PM and 12:56 AM?\nAnswer: 298","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 4*k + 29 + 50 = 0, 2*y + 3*k = -81. Suppose 18 = s - 38. Let n = y + s. What are the prime factors of n?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -291*l**2 - 17460*l + 7. Give t(-60).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) be the third derivative of -c**4\/24 - 7*c**2. Let m(x) = 19*x. Calculate o(m(v)).\nAnswer: -19*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2856 and 44.\nAnswer: 31416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1.3 - -0.3. Let p = 0.01 - 0.21. Which is the smallest value? (a) i (b) p (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 24*l**2. Let z(u) be the second derivative of -u**3\/6 + 23*u. What is z(n(o))?\nAnswer: -24*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.023 from -128.6178.\nAnswer: -128.5948","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 4*o = 41, -4*p - 9*o = -4*o. Let g(s) = -s**2 - 3*s + 11. Let r be g(p). Let c = -2 + 2. Sort -4, r, c in increasing order.\nAnswer: -4, c, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 954 and 212.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i = 4*p - 20, 6*i - 18*p = -16*p + 14 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 3*l + 34. Let k be u(-10). Suppose -5*i = k*m - 342 + 40, -i + 76 = m. Does 6 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 b when three letters picked without replacement from {j: 6, b: 4}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1100110100110001 + 1011100100010?\nAnswer: -1011011000001111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -220, 9, -37, 2 in decreasing order.\nAnswer: 9, 2, -37, -220","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6442 - -32211\/5. Which is the closest to -1? (a) 274 (b) -4 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1\/312 - 5547\/104. Let t = 54 + p. Let u = 0.6 - 0.1. What is the closest to t in u, -0.1, 3\/8?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t**3 - 11*t**2 + 10*t + 44. Let o be k(10). Let i = o + -40. Is i < -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 15.0206098 to two decimal places.\nAnswer: 15.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -46*m**3*y**3 + 8212*m**3 - 1414*m*y**3 - 2*m*y**2 + m - 3*y**3 + 58 wrt m?\nAnswer: -276*m*y**3 + 49272*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g + o - 24 + 38 = 0, 2 = 2*o for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that -45*r**4\/2 + 4340*r**3 + 160265*r**2\/2 + 150600*r + 15750 = 0.\nAnswer: -15, -2, -1\/9, 210","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1.9 - 0.1. Let u = -1.9 - k. Which is the nearest to u? (a) -0.1 (b) 2\/3 (c) -1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 111 is divided by 21?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -t**3 - 4*t**2 - 177*t - 908. Calculate z(-5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:50 AM and 3:07 PM?\nAnswer: 197","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 11*z + 9. Let m be l(-9). Let y be (2 - 21) + (-2 - -3). What are the prime factors of 12\/y*m\/4?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*j + 10*j = -108. Let y = j + 45. Find the first derivative of -2 + 0*d**3 + 1 + 5*d**3 + y*d**3 wrt d.\nAnswer: 42*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 - (7 - (-3 + 7))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -1229*z + 195101. Calculate t(159).\nAnswer: -310","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -7*s**3 + 5*s**2 - 3*s + 5. Let w(v) = -v + 15. Let g be w(10). Let o(j) = 4*j**3 - 3*j**2 + 2*j - 3. Let m(q) = g*o(q) + 3*r(q). Factor m(z).\nAnswer: -z*(z - 1)*(z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-9)\/6)\/(7\/(-14)). What are the prime factors of (h - 21\/9) + 644\/6?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 176*u**3 - 352*u**3 + 178*u**3 - 1404*u - 9 + 11 + 2*u**4 - 75*u in the form y*u + v*u**2 + w*u**3 + i + g*u**4 and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -29.361469*-0.5.\nAnswer: 14.6807345","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) be the third derivative of -63*h**5\/4 - 5*h**4\/24 + 4*h**2. Let v be m(-4). What is v rounded to the nearest one thousand?\nAnswer: -15000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b = r - 10, 0 = -2*b + 3*r + 422 - 419 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*r - 2*g = 12, -5*r + 29*g = 28*g + 26 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 + 2*r - 4)*(-17 + 17 + 11*r)*(-1 + 1 - 1) to p*r**2 + s + z*r and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 36064?\nAnswer: 2, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -1510 divided by -302\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1a935 - -6053?\nAnswer: 25988","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w = 5*s + 23, -3*w + 4 + 10 = 4*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -35.199 + 35.4. Let p = 108 + -107. Is i at least as big as p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6.04 + -6. Let t = d + -0.14. Which is the second biggest value? (a) -2\/3 (b) 0.2 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 0 (b) -2\/15 (c) -2\/3 (d) -0.9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = 4*k + 6. Let g be (-8)\/(-30)*10 - (-4)\/(-6). Let h(d) = 3*d - 2*d + 81 - g*d - 78 + 2*d. Calculate h(k).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 830\/4*(7 + -5). Let l = h - 282. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -4*l + 7. Let h be j(7). Let y = h - -23. Solve y*b + b = 3 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u**3 - 2*u**2 + 2*u + 8. Let l be r(4). Suppose 351 = 3*w - l. What are the prime factors of w?\nAnswer: 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*j - 10*j - 5 = 0. Suppose x - j = 5*r, 1 + 0 = 4*r + x. Let l(p) = p**2 + p + 4. Let s be l(-4). Solve -4*v = s, r = 3*f - 0*f + v + 4 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/((-3)\/((-42)\/4) + 2436\/(-6468)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 125 - 122. Solve 5*g = -3*l + 7, -3*g - q*l + 4*l + 7 = 0 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 0*w**3 + 10 - 7*w**2 - w**3 + 11*w - w - 3. Let g be x(-8). Is 5 a factor of 15\/2*(-6)\/g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 55, 8, -39?\n\"Answer: -47*m + 102","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2 and 28.\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g = 4*g - 20. Let b = g + -3. Let x(h) = -h**3 + 6*h**2 - 5*h + 5. Let n be x(5). Solve -6 = -b*z + n*f, 4*z + 6 = -0*f + f for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4005 to the power of 1\/3, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -4*(52\/(-16) - -3). Let g be 2 - (-2)\/2 - p. Let z be (-171)\/(-15) - g\/5. Solve z = -2*f - 5*v, 2*f = f - 3*v - 7 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4423558 (base 9) to base 14\nAnswer: -45c739","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add 161210.3419 and 11.826.\nAnswer: 161222.1679","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 less than -122?\nAnswer: -126","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5 + 0 + -2 + sqrt(117) + 5 + (sqrt(117) - -3*1*sqrt(117))*3 + -1)*2)**2.\nAnswer: 2184*sqrt(13) + 79288","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3102 + 44281 = 108*b - 18869. Calculate the remainder when b is divided by 45.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 159939*t**3 + 159942*t**3 - 479804*t**3 + 159957*t**3.\nAnswer: 34*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (68\/(-6))\/((-8)\/12). Suppose 5*q - 1071 = -2*v, -938 - 678 = -3*v + 2*q. Let l = -487 + v. What is the greatest common factor of m and l?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in -140, 0.6, 4, -4\/3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26849631 is divided by 13424805?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -1030313 (base 4) to base 14\nAnswer: -1b15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.521? (a) -2 (b) 315 (c) -2\/7 (d) -0.33\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ntyywqn. Give prob of sequence qwn.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is one ninth of a hour in seconds?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 2, z: 3, w: 3, b: 8}. Give prob of picking 3 z.\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 445433 - -1?\nAnswer: 445434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 16230 and 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 126844?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put together -134.09 and -0.574.\nAnswer: -134.664","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 2219.397nm?\nAnswer: 0.0002219397","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3605 + (-1)\/(1\/(4 - 3)). Let w be (-11732)\/6 - (-3 + -1)\/12. Let r = h + w. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 125*p - 679. Calculate s(6).\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 bigger than -242\/203?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t, 1 l, and 1 e when three letters picked without replacement from {t: 2, z: 1, l: 3, m: 4, e: 1}.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 678 + -649. Solve -x + n = -5*f, -2*x = 2*f + 8 - 6 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -c**3 + 10*c**2 + 11*c + 48. Give z(0).\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 59 divide 306377?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) be the third derivative of 0*y + 0*y**4 + 0*y**3 + 11\/20*y**5 + 14 + 5*y**2. Let l(z) = 4*z**2. Determine b(l(f)).\nAnswer: 528*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 22010 (base 3) in base 2?\nAnswer: 11011011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/581, 1\/3, -1\/6, 3, 0.03, 2\/5 in increasing order.\nAnswer: -1\/6, 3\/581, 0.03, 1\/3, 2\/5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 8 = -3*d. Suppose -8 = -d*o - 0*o. Solve -5*u + 25 = 5*l, -1 = o*u - 2*l - l for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 9*k + 6. Let l(u) = -4*u - 3. Let n(j) = 7*l(j) + 3*w(j). Let d be n(-5). Solve 0 = d*z - z + 3 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-18)\/4)\/((-14)\/(-84)). Let p = 36 + n. What is the tens digit of (3\/(-2))\/(p\/(-324))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4172 + -4147. Solve -22*b + n = -19 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 323550?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-23)\/(-7) + 26\/(-91). Sort n, -3, 5 in descending order.\nAnswer: 5, n, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*i + 17337 = -123765. Is 7 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3447 - -3955. What is the smallest common multiple of o and 4?\nAnswer: 508","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 4*s. Let a(g) = 16556*g. Calculate a(d(p)).\nAnswer: 66224*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-4\/5)*y**(-2\/15))\/(y**(-4)*(y\/(y**(2\/7)*y))\/y*y))\/((y**(-2\/5))**(-37)*((y*y*y**(-2\/5))\/y)**(-29)) assuming y is positive.\nAnswer: y**(125\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 2*w**2 + 3. List the prime factors of n(2).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13210 rounded to the nearest 100?\nAnswer: -13200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z**(29\/5))**42*(z**(-3\/4)*z)**16)**(38\/7) assuming z is positive.\nAnswer: z**(55024\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 97 or 17542?\nAnswer: 17542","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.054 (b) 0.2 (c) 10 (d) 1\/4 (e) 0.3 (f) 3\/4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 42947, 85802, 128479, 170888, 212939, 254542, 295607, 336044?\n\"Answer: -15*m**3 + m**2 + 42957*m + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 82129 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -9*y**5 - 55*y**4 - 2*y - 687?\nAnswer: -180*y**3 - 660*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 175 divided by 175?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*n + 9*n = 2. Suppose 4*c = 3*c - n*y + 40, -28 = -c - 5*y. What is the tens digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -l**2 - 7*l + 9. Let w be f(-7). Suppose -w*g + 225 = -8*g. Suppose 87 = 4*p - g. What is the units digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7932?\nAnswer: 2, 3, 661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 5974105817 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*a**3 - 38*a**3 + 2*a - 2*a.\nAnswer: -29*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 64 and 6234?\nAnswer: 199488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -d**3 - d**2 + 9*d + 7. Let z be v(3). Let m(i) = 4*i**3 + 3*i**2 + 4*i + 2. Calculate m(z).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = -4*r, -r - 28 = 5*x - 7. Let m be (1\/(-2))\/(2\/x). Let p(q) = 16*q**3 - q**2 + 1. Let d be p(m). What is the greatest common factor of d and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(15\/4)*b\/(b*b**(-1\/8)*b))\/(b**(-4\/13)*b*b\/b**4) assuming b is positive.\nAnswer: b**(539\/104)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 348\/(-16) + (-6)\/(-8). Let u = 26 + g. Put u, -3, -8 in descending order.\nAnswer: u, -3, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 539 minutes after 11:32 PM?\nAnswer: 8:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/5 (b) -0.3 (c) 2\/21\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 237 = 4*d - 75. Suppose -2*p = -0*p - d. What is the highest common divisor of 26 and p?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 80\/70*(-7)\/6*1.\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 43 = 3*l, 4 - 29 = -5*l - 5*n. Suppose -l + 1 = -2*d. Suppose d*f - 132 = -2*i, -5*i + i - 156 = -4*f. What are the prime factors of f?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 115570 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((18 - -1) + 266992\/(-14652))\/(14\/6).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46989 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 59081 and 11703409.\nAnswer: 5371","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-11 - 5) + -2 - 1 - -11?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 79 - 4*a - 341 + 131 - 4*a in the form i*a + f and give i.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 + 5 - (0 + 2).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x**(6\/7)*x*x)\/x)\/x*x*x**(-3\/2)*x*(x\/x**(-9))\/(x*x**(-1\/19)*x) assuming x is positive.\nAnswer: x**(2769\/266)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -40 - -46. List the prime factors of (-4 + i)\/((-4)\/(-26)).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 52 = 3*r + 2*o, r - 13 = -2*o. Solve -3 = r*d - 16*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2.01 - 0.01. Suppose -r + 4*f = -15 - 2, -2*r - 3*f - 21 = 0. What is the fourth smallest value in r, -4, 4, a?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 31\/10968 and -181\/191940.\nAnswer: 383880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -16223052 - 23?\nAnswer: -16223075","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.536011 kilometers in millimeters?\nAnswer: 5536011","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/12*1*328. Let t = q - 53. Let z = 1872\/7 - 268. What is the second biggest value in z, t, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dddhhhhhhhdhdh. What is prob of sequence ddhh?\nAnswer: 60\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*b + 450 = -5*b - 35*b for b.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -20044 or -20043?\nAnswer: -20044","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2569681*i*r**3*u**2 - 7*i*r**3*u + 49*i*r**3 - i*u + i - 2*r**3*u**2 - r**3 - 6*r*u wrt u.\nAnswer: -5139362*i*r**3 - 4*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) be the second derivative of -g**5\/10 - g**4\/3 - g**3\/2 - g**2 - g. Let y be b(-2). Let c = y - 1. What is the units digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 35 + -35. Let n(o) be the second derivative of -1\/6*o**6 + 0*o**3 + 0 + q*o**2 + 1\/12*o**4 + 5*o + 0*o**5. What is the third derivative of n(i) wrt i?\nAnswer: -120*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 248030.5l?\nAnswer: 248030500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 3*n - 22. Let i be s(8). Suppose 0*m = m - i*x - 6, 3*m - 2*x = 6. Solve m = -0*j - 3*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1 - 0) + 52 + (-14368)\/288. Factor 32\/9 + 4*q**2 - 56\/9*q - x*q**3 + 1\/9*q**4.\nAnswer: (q - 4)*(q - 2)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -19 + 21. Suppose -b = -4*h - z, 8*h - 3*h + 8 = 4*b. Suppose 0 = 3*u + 4*r - 217, 359 = 5*u + 2*r + b*r. List the prime factors of u.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -5, 59356, 6 in increasing order.\nAnswer: -5, -3, 6, 59356","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*j**3 + 0*j**3 - 9658*j**2 + 2*j**3.\nAnswer: -j**3 - 9658*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*m**2\/7 + 437552*m\/7 + 11965734544\/7.\nAnswer: 4*(m + 54694)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8784584*b + 2928198*b + 2928193*b + 2928192*b.\nAnswer: -b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 10 + -2. Let q(t) = 7*t**2 - 15*t - 7. Let r(l) = -4*l**2 + 7*l + 4. Let d(v) = -3*q(v) - 5*r(v). What is the remainder when 33 is divided by d(o)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 6\/(12\/533)*(-1)\/(-2). Let d = 134 - r. Let c = -31\/2 + 15. What is the third smallest value in c, 6, d?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 2, g: 2, t: 4}. What is prob of sequence ttt?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (h - 6*h - 3*h)*(-4 - 9*h + 4)*(-5 + 4 - 1).\nAnswer: -144*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.273? (a) -3\/5 (b) -3 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2742?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*n**2 + 11090*n - 1759560.\nAnswer: -5*(n - 2046)*(n - 172)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -187918 - 5678107.27\nAnswer: -5866025.27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 258 and 383862.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: a2 (base 15) to base 4\nAnswer: 2120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (32*o + 96*o**3 - 32*o)*(3*o + 3*o - 5*o) + (-1 + 1 + o)*(-4*o**3 + o**3 + 2*o**3).\nAnswer: 95*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 198614?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - 8) + 1 + 59 + -11 + -29?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1827136 * -0.03\nAnswer: 54814.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -r**3 + 5*r**2 + 5*r + 5. Determine u(5).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -2*j - 2. Let r be d(-2). Let b(v) = 6*v**2 + 1 - 9 - 13*v - 5*v**r. Is b(17) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 179.7606 to the nearest integer.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(6) - 5*sqrt(864)) + sqrt(54)*1)\/(4*(sqrt(108) - (sqrt(108) + 4*sqrt(108) + sqrt(108))*2)).\nAnswer: 7*sqrt(2)\/33","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in -0.5, -13, 4, -45, -28?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-90)\/10 - -6 - 2.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -104.501 rounded to the nearest one hundred?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -o + 13. Let u = 125 + -119. Suppose -8*k + 10*k = u. Let a(i) = -6*i**2 - 5*i**2 - k*i**2 + 12*i**2. What is j(a(z))?\nAnswer: 2*z**2 + 13","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*q = 13*q - 24. Suppose -25 - 3 = -7*i. Solve -q = t - i*t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.3 and -10059632.\nAnswer: -3017889.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 - 8*r**2 - 5*r**4 + 4*r - 8*r**3 - r**4 - 13*r**5 + 17*r**5 + 10*r**4 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4\/8*2 + -1. Suppose 5*c + 4*n - 2*n = 74, 3*c - 4*n = 60. Suppose a = 3*h - 154 + c. Is h a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s - 39 = 8*g, 242*s - 241*s - 11 = -2*g + 4*g for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2190 is divided by 277?\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the third derivative of -m**5\/30 - 16*m**2. Let f(j) be the first derivative of 0*j - 2 + 2\/3*j**3 + 0*j**2. Determine f(g(p)).\nAnswer: 8*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 14778089 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 437448.2 to the nearest ten thousand.\nAnswer: 440000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 3*w + 2. Let a(t) = 204 - 335 + 130. Determine 3*a(x) + r(x).\nAnswer: 3*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 19 + (33 - 16) + -32 + 68 + -1 + -3?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-57)\/(-19)*(-4)\/6. Let a = 4 + -2. What is the nearest to s in -0.3, -2, a?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-99)\/(-22) + (0 - 3\/(-2)). Let c(w) = w - 2*w**3 + 6*w**2 - 3*w**3 - 2 + 4*w**3. What is c(f)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -113503 + 2?\nAnswer: -113501","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 4, 3754, -8, -74, 1 in increasing order.\nAnswer: -74, -8, 1, 2, 4, 3754","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 4 - 1)*(2 + 3*x - 2) + 3 - 3 - 4*x + (-4 + 2 + 1)*(-4 + 4 - x) - x - 2*x + 5*x.\nAnswer: 8*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1 - -0.7. Let k = 90 - 90.1. Which is the closest to k? (a) h (b) 1\/4 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p**2\/2 - 9076257*p\/2 + 4538129 = 0. Calculate p.\nAnswer: -9076258, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i**(-6))\/i**(3\/2))\/(i**(-7\/5)\/((i*i**(-2))\/i)) assuming i is positive.\nAnswer: i**(-71\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.3 in -0.1, 3, -4, -1\/3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -65008771329 - -65008544905.000024. Let a = i + 226425. Let p = a + -1. What is p rounded to 5 decimal places?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -e (base 15) in base 5?\nAnswer: -24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 52254 and 375.\nAnswer: 6531750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -20 + 20. Suppose 568 = 4*z - j*z. What are the prime factors of z?\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 44 is divided by 17?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 2. Let w(y) be the third derivative of y**4\/24 + 5*y**3\/6 + 51*y**2. Give -7*s(d) + 2*w(d).\nAnswer: 2*d - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the first derivative of g**7\/273 + g**6\/195 - 3*g**5\/130 - g**4\/78 + 2*g**3\/39 + 18*g - 1. Let l(h) be the first derivative of k(h). Solve l(f) = 0.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 4*y - 3. Let k be o(6). Let m = 24 - k. Suppose -3*b + 3*a + 6 = -321, -m*a + 545 = 5*b. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/36*3\/7*12?\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(252))**2.\nAnswer: 6300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 99285.38t to milligrams.\nAnswer: 99285380000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 209, 403, 645, 941, 1297?\nAnswer: 1719","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1891 = 338*l - 400 + 2227 for l.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 297 + 3*y**2 + 4*y - 3*y**2 - 291 - 14*y**3 + 9*y**2. What are the prime factors of v(-3)?\nAnswer: 3, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 21\/33863?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 708 minutes after 7:17 AM?\nAnswer: 7:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8012502t in kilograms?\nAnswer: 801.2502","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -510 = -2*j - n, -2*n - 1004 = -5*j + j. List the prime factors of j.\nAnswer: 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 30728*2\nAnswer: 61456","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + (4 - 2) + -3 + -7?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**3\/2 - 32*q**2 - 1053*q\/2 - 495.\nAnswer: -(q + 1)*(q + 30)*(q + 33)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 359 minutes before 1:17 AM?\nAnswer: 7:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.4 and -571.\nAnswer: 228.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 153 and 2746350.\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor p**3\/2 + 783*p**2\/2 - 145475*p.\nAnswer: p*(p - 275)*(p + 1058)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f = 2*i - 26, -f = f + 4*i - 2 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 66011799 a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2767, -5535, -8303?\nAnswer: -11071","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:31 PM and 9:55 AM?\nAnswer: 624","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 169339 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cycb when four letters picked without replacement from {y: 1, n: 2, b: 3, c: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1712\/157 <= 10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 112*b**2 + 7*b - 2917. Is h(-50) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 170424 and 162.\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 63720, 14, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one quarters of a microgram in nanograms?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (5\/(-35))\/(((-21)\/14)\/(-3))?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-478 + 249 - 337)*(-3*t + 3*t - 4*t)*(-2*t**2 + 2*t**2 - t**2) to the form m*t + q*t**2 + n*t**3 + c and give n.\nAnswer: -2264","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that -3*g**2 + 92958*g - 720099147 = 0.\nAnswer: 15493","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -28163, -225308, -760463, -1802648, -3520883, -6084188, -9661583, -14422088?\n\"Answer: -28170*b**3 + 15*b**2 - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -b**3*n**3*o + b**3*o**2 - 10*b**3 - b**2*n**3*o**2 + 2*b**2*n**3 - 24*n*o**2 wrt b.\nAnswer: -6*n**3*o + 6*o**2 - 60","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4 and 878.02?\nAnswer: 3512.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (9 - 30)\/(-7) - 6?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -4*z - 3. Let w(o) = 7*o + 5. Let x(v) = 5*s(v) + 3*w(v). What is x(6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*u - 85 = 3*u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = p**2 - 38*p + 282. Let h be z(28). Solve 4*x - 22 = h*r, 0 = 2*x - x + r + 2 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -n**3 + n**2 + 41*n + 2. Calculate w(-6).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-476)\/(-10) - 4\/(-10). Let h = u - 31. Let g = 84 - 35. What is the remainder when g is divided by h?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 31.989723 to 1 decimal place.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 4*u = -2*r - 25, -6 = -3*u. Let a = r - -20. Suppose -3*q = a, 2*y = -y + 3*q + 6. Is 12\/7 not equal to y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*g + 36 = -4. Suppose -5*d + 135 = 3*i, 0 = i - g*i - 2*d + 144. Calculate the highest common divisor of 50 and i.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = 6, 0 = 4*w - 5*g + 2*g - 29. Let i(y) = y**2 - 4*y + 4. Let p be i(2). Suppose -5*h + 4 + 1 = p. Calculate the lowest common multiple of w and h.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wqm when three letters picked without replacement from nwnqnnqwqnqnqwqwwqm.\nAnswer: 35\/5814","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -159 = -5*k + 861. List the prime factors of k.\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -386, -1386, -3804, -8348, -15726, -26646, -41816?\nAnswer: -61944","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 48\/140*(-28)\/(-8)?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qq when two letters picked without replacement from qqqkk?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 36*j**2 + 53*j**2 - 136*j**2 + 43*j**2 - 6*j in the form r + f*j**2 + p*j and give p.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 2400\/(-4032) - (-2)\/3\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the third derivative of y**5\/15 - y**3\/6 + y**2. Suppose -n = -z, 4*n + z = 3*n - 4. Let g be i(n). What is the highest common factor of 5 and g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 118d4 (base 14) in base 12?\nAnswer: 20a02","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 361, 567, 843, 1243, 1821, 2631, 3727?\n\"Answer: 9*s**3 - 19*s**2 + 200*s + 171","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -12a18 (base 12) to base 7\nAnswer: -134534","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*b**2*c**2 + 3*b**2*c + 30*b**2*r**2 + 2*b*c**2*r**2 + b*c + 32*b*r**2 + r**2 wrt b?\nAnswer: 4*c**2 + 6*c + 60*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - o - 16 = 5*t, -2*o + 5*t + 6 = 0. Suppose j + 5*u - 5 = 0, -3 = 49*u - 52*u. Put j, o, -5, 1 in decreasing order.\nAnswer: 1, j, o, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 10 - 14. Let t(p) = p + 7. List the prime factors of t(f).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 3*u = 8, 3*g + 2*g = -4*u + 36. Calculate the greatest common divisor of g and 44.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 52, 46, 40, 34, 28?\n\"Answer: -6*q + 58","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = t**3 + t**2 - t + 2. Let m be b(0). Suppose -m*f + j = -2*j - 2, -2*j = -2*f - 2. Is 0 at most as big as f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 1, x: 2, l: 1, d: 4, y: 1}. Give prob of picking 1 d, 1 n, and 1 x.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 b when two letters picked without replacement from {z: 2, a: 1, b: 3, q: 1}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -116, -234, -352, -470, -588?\nAnswer: -706","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3 - -7. Let j = -6 + u. Suppose 0 = -0*w + 3*w - 12. Solve -w*n + 4 = -j for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-22)\/(-2) + -2 + (-36)\/4.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f + 2 = 3*o, 11*o + 5*f - 44 = 3*o + 7*o - 21*f - 310 for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -159 + -5047a?\nAnswer: -50617","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4 and 23768?\nAnswer: 23768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*b**3*k**2*r - 2*b**3*k - 3*b**3*r + 27*b**3 + 136*b**2*k**2 - 2*b**2*k*r - 16*b*k**2*r - 2*b*r wrt k?\nAnswer: 4*b**3*r + 272*b**2 - 32*b*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 31 - (-35 + -52) - (3 + 8 + -4 + 5).\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -11 (b) 0.4 (c) 0.09\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 5*p + 8 = -11, 1 = 3*g - p. Let s be ((-56)\/42)\/(g\/(-6)). Solve -16 = -4*m + s for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 h when two letters picked without replacement from grhwbga.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-1\/6)\/(k**(-5)*k))**(-12\/11)\/(((k\/((k*(k**(1\/2)\/k)\/k)\/k))\/k**(1\/2))\/(k**(1\/3)\/k)**26) assuming k is positive.\nAnswer: k**(-776\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 293 minutes after 11:36 PM?\nAnswer: 4:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -550*j + 269*j - 281*j**2 + 281*j - 168*j**3 wrt j?\nAnswer: -1008","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*q*r**3 - 73*q*r**2 + 3*q*r + 225*q + 4*r**3 - r**2 + 980*r + 423 with respect to q.\nAnswer: 2*r**3 - 73*r**2 + 3*r + 225","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4)\/(-2)*(10 + -9). Suppose -2*j - r*y = -92, 2*y = 9 + 1. What is the remainder when j is divided by 9\/(-21) + 80\/7?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 2*y**2 + 4*y - 4. Let p be v(-3). Which is the closest to p? (a) 3 (b) 3.6 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that 2*n**3 + 588546*n**2 + 462842832*n + 91118874920 = 0.\nAnswer: -293485, -394","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 68\/5, 0.08, 0.0036?\nAnswer: 68\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 588816 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11229 is divided by 54?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y and 2 i when four letters picked without replacement from yyyyiyyiyyiyyeiii.\nAnswer: 135\/476","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.559 to 0 dps.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5452776 by 908796.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 852401304 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 82248 and 204792.\nAnswer: 30514008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 145012.6314 nanoseconds to weeks.\nAnswer: 0.0000000002397695625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 143447684?\nAnswer: 2, 41, 874681","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 39 - 265\/6. Which is greater: i or -6?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 97.958 - 98. Let w = 0.268 - z. Which is the nearest to 1\/4? (a) 0.1 (b) 1\/2 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (46\/88 - 405\/17820) + 14\/4. Factor -1\/2*x**f - 13\/2*x - 7\/2*x**3 - 2 - 15\/2*x**2.\nAnswer: -(x + 1)**3*(x + 4)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v**2 - 368*v - 1504 = 0. Calculate v.\nAnswer: -4, 188","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h**3\/11 - 1364210*h**2\/11 + 2728426*h\/11 - 1364214\/11 = 0 for h.\nAnswer: -682107, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 642.524ml to litres.\nAnswer: 0.642524","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = g**3 + 10*g**2 - 2*g - 6. Calculate the remainder when p(-10) is divided by 9.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -71\/9 and 19\/1559.\nAnswer: 14031","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -69786*s*z + 370*s - 13 wrt z.\nAnswer: -69786*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5 - -204?\nAnswer: 210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = -0*u - 18. Suppose 27 = 3*w + l, -2*l = w + 2*l - u. Let a = 17711 - 17695. Calculate the remainder when a is divided by w.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -299*m + 2 + m**2 - 56*m**3 + 585*m - 288*m as y*m**3 + s*m**2 + h*m + d and give y.\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put together 721214.551 and -148.\nAnswer: 721066.551","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.607529 decades in centuries?\nAnswer: 0.9607529","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 445060 = 26*z + 93*z. What is the tens digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vkr when three letters picked without replacement from {x: 1, b: 1, y: 1, k: 2, r: 1, v: 1}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 889071885?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 0.0466303 - -0.4\nAnswer: 0.4466303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u - 5*u - 30 = 0. Let y be ((-6)\/4)\/(u\/8). Find the second derivative of a - a - 2*a + y*a**5 wrt a.\nAnswer: 40*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2\/294519 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -j**2 - 15*j - 4. Let c be m(7). What is the common denominator of (c\/(-90))\/((-12)\/(-18)) + 3 and (-441)\/144*(1 - -1)?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*v - 5*v**2 - 5*v)*(1 - 2*v + 1 + 4*v) in the form q*v**3 + b*v + w*v**2 + f and give w.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 13\/6? (a) 1122.3 (b) 1 (c) -0.3 (d) -0.1 (e) 0.02\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3153214 - 303?\nAnswer: 3152511","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 105*n = 91*n + 31710. What are the prime factors of n?\nAnswer: 3, 5, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a = 3*m + 48, -541 + 537 = -a + 2*m for a.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4005265 and 801053.\nAnswer: 4005265","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v = -2*n - 38, 78*v - 83*v - 20 = 0 for n.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 735 and 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -1376, -2751, -4126?\n\"Answer: -1375*a - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x = 44, -3*b + 5*b - b = -b + 3*b - 6*b + 196*x - 4292 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 730, 2966, 6692, 11908, 18614, 26810?\nAnswer: 36496","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 17*u**2 + 35087 - 20*u**2 - 35083 - 315*u as l*u + i*u**2 + d and give l.\nAnswer: -315","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ile when three letters picked without replacement from ljirliejoiel.\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 3 + 5 = 0. Suppose -a*h + 27 + 25 = 0. Suppose 6*z = -4*z + 160. Solve y - h = 3*r, -4*r + 4*y - 2*y - z = 0 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (6\/(-15))\/(1\/(-10)). Suppose -10 = m*i - 34. Is 2 at most i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4 - -23. Suppose l - q = -4. Suppose l = 3*s, -2*z - z + 100 = -s. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4590507*d**2 + 14844*d - 12.\nAnswer: -3*(1237*d - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*r + 280 = -6*r. Does 14 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 343991 + -80838021\/235. Let w = 1\/47 - r. Is w > 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 652822643 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (3\/7*-7)\/(1*8)\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p + 70 + 177 = 5*l - 8*l + 449, -13*l + p = -860 for l.\nAnswer: 66","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1082.634 - 1081. Let l = 1.61 - 0.01. Let y = l - o. Round y to two dps.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*y**2 + y**2 - 2*y**2 + (0 + 2 + 0)*(-1 + 4 + 7)*(-3*y + 0*y**2 + 4*y**2 - y**2) to j*y**2 + i*y + n and give i.\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44 = -15*k - 1 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 652 is divided by 605?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = b**2 + 9*b - 8. Let k be f(-10). Let h = -16 + 33. Solve -v + 19 = -4*i + k*v, -5*v + h = -3*i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6140 = 327*l - 52*l + 38040 for l.\nAnswer: -116","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -535, -1.2, 47, -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 96 a factor of 63194257?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 z when two letters picked without replacement from {b: 2, z: 1, a: 9, u: 2}.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000008905 to six dps.\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the first derivative of -i**7\/840 - i**5\/15 - i**3\/3 - 7. Let g(h) be the third derivative of c(h). Find the second derivative of g(q) wrt q.\nAnswer: -6*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 543 minutes before 4:16 AM?\nAnswer: 7:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*d**3 + 40060*d**2 - 90501865*d + 39694858070.\nAnswer: -5*(d - 3719)**2*(d - 574)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2 + -111312?\nAnswer: -111310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 522, -1028, -3\/5, -2\/17, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7 - -2. Let f be (-9)\/(-4) - (-2)\/(-8). Let t = 95581\/10 + -9558. What is the biggest value in f, t, s?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (105\/(-875))\/((-3)\/(-5)).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 1846?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 3*i - 7. Let b be w(5). Suppose 0 = 5*g - 25, k + 4*k - 5*g - 115 = 0. Suppose -10*t = -b*t - k. What is the least common multiple of t and 12?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2\/11 (b) -5 (c) -2\/3 (d) 72\/11 (e) 4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) be the first derivative of -7*f**2 + 4\/3*f**3 + 3\/2*f**4 - 203 + 4*f. Factor w(k).\nAnswer: 2*(k - 1)*(k + 2)*(3*k - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve k = 3*s + 111, -3*k + 213 + 124 = -5*s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 10.1 - -2.9. Suppose 0 = -14*l + 15*l. What is the second biggest value in l, 4, n, -4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5? (a) 1\/5 (b) -1\/12 (c) 1 (d) -0.4 (e) 26\/23\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -2*r**3 - 10*r**2 - 9*r + 3. Suppose 2*o + 2*a = -24, -4*o + 0*a = 5*a + 53. Let c be f(o). Suppose -5*g + c = -88. Is 14 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 47583.24 rounded to the nearest 1000?\nAnswer: 48000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.0513 in -5, 3\/2, -2\/7, -4, 121?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 times 29593\nAnswer: -8877.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 715 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 458 minutes before 3:38 AM?\nAnswer: 8:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-908 - -926) + -22*1?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 - c**3 + 2 + (-11*c + 4*c - 2*c)*(-c**2 + 5*c - 5*c) + c + 4*c**3 - c as a*c + k + p*c**2 + t*c**3 and give t.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 191 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 54 divide 2700?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -93 + 9 + (15 - ((-4 - 10) + 25)) + 6.\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 1941, 1951, 1963, 1977, 1993, 2011, 2031?\n\"Answer: k**2 + 7*k + 1933","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -341*z**2 - 362*z + 43612 wrt z.\nAnswer: -682*z - 362","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 109 (base 13) in base 15?\nAnswer: bd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 2.7, -0.2, -0.5, 2.1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 6*d**2 + 14385*d - 3331725?\nAnswer: 12*d + 14385","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 9498883.74 to the nearest 1000000.\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = -2*v - 329, -4*n + 3*v - 154 + 413 = 0. Calculate the remainder when 22712 is divided by n.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 106052 is divided by 18.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -g**3 + 12*g**2 - 11*g + 24. Let h be a(11). Suppose 5*s - 9*s + h = 0. Calculate the lowest common multiple of 22 and 3\/(-9) - (-86)\/s.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*l + 19 = 199 for l.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 280575078 to the power of 1\/2, to the nearest integer?\nAnswer: 16750","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 34635 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -163.999999319 + 164. Round j to seven dps.\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21709 is divided by 138?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 300 and 660.\nAnswer: 3300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = z**3 - 4*z**2 - 3*z + 4. Let w be j(5). Calculate the remainder when 37 is divided by (-20)\/w*7\/(-1).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 957861?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = 2*c + 1. Suppose 0 = 3*y + 12 + c. Let i be (-1075)\/(-20) + y\/8. Round i to the nearest ten.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1*(-3)\/36*-14 - (-2)\/(-3)\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 265180 by -4.\nAnswer: -66295","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -156? (a) -0.4 (b) 0.09 (c) -4 (d) 5 (e) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 519 + 251. What is the tens digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 6 + 3856637*y - 3 - 3856616*y.\nAnswer: 21*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00082227424 to 7 dps.\nAnswer: 0.0008223","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -x**2 - 7*x - 3. Let q(j) = -2*j**2 - 41*j - 118. Let o(s) = 3*s**2 + 61*s + 177. Let t(y) = 5*o(y) + 7*q(y). Let p be t(-13). Calculate a(p).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5193.\nAnswer: 3, 577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -78 - (-9 + 16) - -8 - (-11 - 4)?\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in 1\/3, -5, 0.150883, 2\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = x + 8. Suppose 0 = -i + 275 + 143. Suppose -416*p = -i*p. Solve p = x*f - 4 - 12 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 36\/14*13454\/(-2883)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2, 903, -26.1?\nAnswer: 903","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the second derivative of -q**3\/6 + 15*q**2\/2 + 2*q. Let z = -93 + 104. Let s be d(z). What is the greatest common factor of 8 and s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 83*j + 2363. Is x(56) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -2*z - 3, 2*z = -5*n + 45. Let u(v) = 34*v + 9. Let x be u(2). Calculate the greatest common factor of x and n.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -1*(-2)\/(-5)*30. Let k be (-4)\/6*j\/64. Is k greater than or equal to 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 8447425*s + 6244285 wrt s.\nAnswer: 8447425","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:26 AM and 7:09 PM?\nAnswer: 643","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1 (b) 51 (c) -2\/231\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*c**3 + 2*c + 4*c**3 - 3*c**3 + 5*c**3 - 5*c**3 + 2*c**3 + (3 + 0 + 0)*(0*c**3 + 5*c**3 - 4*c**3) as l*c + b + v*c**3 + g*c**2 and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54*m = 52*m + 20. Solve 2*b + m - 2 = 0 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -5*h - 5. Let d(g) = -6*g - 6. Let w(f) = 2*d(f) - 3*m(f). Let n be w(-2). Let q be (n - 0) + 26\/6. Which is greater: 1 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 320875 and 340.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 480 minutes after 8:18 AM?\nAnswer: 4:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 0.2 (b) -3 (c) 5 (d) -6\/11 (e) 0.030167\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1309 and 9086.\nAnswer: 154462","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000912725 rounded to four dps?\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -4*f**2. Let g be 33\/(-90) - 54\/(-135). Let j(v) be the third derivative of -6*v**2 + 0 + 0*v**4 + 0*v + g*v**5 + 0*v**3. Determine q(j(a)).\nAnswer: -16*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 0 - 160714?\nAnswer: -160714","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 13*o = 63*o. Solve 4*h + 4*k + 20 = 0, o*k = -4*h - 5*k - 25 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2161*p**2 + 2254*p**2 - p + p in the form s*p + h*p**2 + q and give h.\nAnswer: 93","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/10*(7 + 13\/(208\/328)) + -59.\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 98 and 26.\nAnswer: 1274","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*x + 3*x + 0*x)*(8826 - 8826 + 1148*x**2).\nAnswer: -1148*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(5\/6)*z)\/(z\/(z*z\/z**(-1\/49))))\/(z**(2\/11)\/(z\/(z**1\/z))) assuming z is positive.\nAnswer: z**(11875\/3234)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 424 and 265?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.6 (b) 2 (c) 322\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 460, 1122, 2108, 3532, 5508?\n\"Answer: 19*d**3 + 48*d**2 + 385*d + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 38108 is divided by 99?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1191*u + 15 = -1186*u - w, 0*w - 21 = u - 5*w for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(5*(1 + sqrt(2057) + sqrt(2057)) + 6*(2 + sqrt(2057)) - (sqrt(2057) - (sqrt(2057)*-5*-5 + sqrt(2057)))*-3)**2.\nAnswer: -21482118 + 66198*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3369.2 - -3542.99. What is l rounded to the nearest integer?\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 19 + -18. Which is the nearest to 2\/5? (a) 3 (b) 5 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.06 - -8.46. Let p = -1977 - -1963.6. Let v = i + p. What is the fourth smallest value in v, 9, 1\/4, 2?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3.1 + -3. Let j = -1.8 + 1. Let f = j + 0.7. Which is the third biggest value? (a) f (b) z (c) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6031 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*y + 60 = -8*y. Suppose -14*m - y = -20*m. Solve -10 = m*b - 0*b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 350 is divided by 118?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*t + 16*k - 13*k = 0, 0 = 4*t - k - k - 20 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rrhzzhrhrfrr. Give prob of sequence fhz.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2*y - 1)*(-12*y**2 + 28*y**2 - 9*y**2)*(2*y + 3*y - 7*y).\nAnswer: -28*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (t + 6*t - 3*t)*(-3 + 1 + 4)*(23*t - 16*t - 10*t).\nAnswer: -24*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -13, 2\/57, 3, 0.1 in descending order.\nAnswer: 3, 0.1, 2\/57, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 34, -176, 5 in ascending order.\nAnswer: -176, 5, 34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2854 and 25686?\nAnswer: 25686","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = w + 3, 0*y + 3*w + 9 = y. Suppose -5*a + 29 + 11 = y. Solve 2*x = 2*m + 6, a = x + x for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 5\/((-15)\/(-9)) - -7. Let d = s + -8. Solve -x + d*x = -4 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1 (b) -1\/31 (c) -1.31469\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + ((1*sqrt(1900))**2*-2 + -1 - (-3 + sqrt(19)*3 + (sqrt(19)*2*5)**2)).\nAnswer: -5702 - 3*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 142331 (base 8) to base 11.\nAnswer: 34952","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 57\/12 - (-3)\/(-4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y + 323 = 316 for y.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1576 + 1424. Calculate the highest common factor of y and 60.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f - 3 = 3*c, 3*f - 4*f = 3*c + 3 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**19)**(19\/4)*(a\/(a**1*a))**(-2\/27) assuming a is positive.\nAnswer: a**(9755\/108)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9 + (-7)\/((-1225)\/1580))*(2 + 30\/(-12))?\nAnswer: -1\/70","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -2\/21, 1, 22?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 48824.\nAnswer: 2, 17, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -2 - 51\/(-15) - (-40)\/(-100). Let i(x) be the third derivative of x**4\/8 + 2*x**3 + x**2. Let o be i(-5). What is the third biggest value in f, 3\/4, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -v - 1. Suppose 1533 = 10*s + 1483. Find the third derivative of -9*u**2 + 27*u**s + u**5 - 2*u**5 - 7*u**v wrt u.\nAnswer: 1560*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 * -154901\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*l + 119 + 9*l - 66 - l - 12*l to the form q*l + j and give j.\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -72 + 102. Solve -2*i = 5*y - c, -4*i + y + 2*y + 8 = 0 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i**3\/3 + 649*i**2\/3 - 34744*i\/3 - 8650448 = 0. What is i?\nAnswer: -159, 404","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 3607 (base 9) in base 16?\nAnswer: a78","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*1*(-9)\/((-58806)\/132).\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*k + 12 - 0. Suppose 2*t + t = -k. Let u be (-3)\/t + (-321)\/(-6). Calculate the highest common factor of 11 and u.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 3*m + 3*q, -2*m + 5*q = -0*m + 18. Suppose -3*p + 2*p + 5 = 0. Sort p, 4, m in ascending order.\nAnswer: m, 4, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -36, 2, -5 in descending order.\nAnswer: 2, -5, -36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/7 smaller than 0.022?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = f - 4. Let c be n(4). Suppose -3*v = -32 + 8. Let y(r) = -20 - r + v + 6. Calculate y(c).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) be the third derivative of a**5\/60 - a**4\/12 - a**3\/3 - 2*a**2. Let p be n(4). Let t = 73 - 43. What is the greatest common factor of p and t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a**2 + 7*a - 27. Suppose 7*p - 3*p = 5*n + 34, 3*n = -2*p + 6. Let w(h) = h**3 - 5*h**2 - 9*h + 6. Let g be w(p). What are the prime factors of o(g)?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -864 - -1566. Let k = 14744\/21 - z. Let f be (-6)\/10*5\/(-16). Put f, -0.3, k, 4 in increasing order.\nAnswer: -0.3, k, f, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 18792 and 928?\nAnswer: 75168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 5, -184, 1, 3 in ascending order.\nAnswer: -184, -4, 1, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -74 times 0.3\nAnswer: -22.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -95 + 4*t + 88 + 11*t**2 - 5*t**2 + 7*t**2. Is j(2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = v - 6*v. Suppose 545 - 24 = 593*l - 72*l. What is the nearest to l in v, 0.3, -0.03?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5151158?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -9 + 16. Suppose 119 = 4*p - w, -4*p - 3*w - 87 = -b*p. Solve -4*i = -10 + p for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 51\/8 and -143\/127266?\nAnswer: 509064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve h = 4*j - 279 - 82, 412 = 4*j - 11*h + 81 for j.\nAnswer: 91","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 16490*s. Let h(g) = 13*g + 140. Let f(i) = -29*i - 315. Let o(z) = -4*f(z) - 9*h(z). Give p(o(w)).\nAnswer: -16490*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -189640369467988\/231 - -820952649543. Let j = -1330845 - u. Let s = -76\/11 - j. Is s at most as big as -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -o**2\/4 - 408189*o\/4 + 3163705.\nAnswer: -(o - 31)*(o + 408220)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, 2, -5, 3, -2 in descending order.\nAnswer: 8, 3, 2, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2520399.\nAnswer: 3, 7, 257, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 59\/39 and 35\/196274.\nAnswer: 588822","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -166 - -161. Let p = 0.1 - 0.1. Let l = p - -0.5. What is the smallest value in 5, s, l?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) be the third derivative of i**6\/720 - i**4\/8 - i**2. Let f(z) be the second derivative of l(z). Let g(q) = 2*q. Give f(g(p)).\nAnswer: 2*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 3*-0.32\nAnswer: -0.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(5 + (sqrt(300) - (sqrt(300) - 2*(sqrt(300) - 1*sqrt(300))))**2 + 2*3*(-1*sqrt(3))**2).\nAnswer: -92","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three tenths of a litre?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -a7 + 95?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*n + 14*n - 15*n - 33*n - 33*n - 17*n.\nAnswer: -78*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 36.9695 - -1.0305. Put -2, 0.2, c, 4\/5 in ascending order.\nAnswer: -2, 0.2, 4\/5, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -91862697, -91862698, -91862699, -91862700, -91862701?\n\"Answer: -w - 91862696","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1 + 268?\nAnswer: 270","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*i + 0*i - 5*i + (-5*i + 2*i + 4*i)*(3 + 2 - 6) - 3*i - i + 3*i + 0*i + 9*i - 16*i + 56*i - 55*i - 3 - 1 in the form k + c*i and give k.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 + -2 + (22 - 4).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1049, -117, 6, -3 in decreasing order.\nAnswer: 6, -3, -117, -1049","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -3*w + 6. Let r be s(-5). Let v = r - 11. What is the units digit of v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -3*x + 1. Suppose 0 = 11*q - 205 - 191. Calculate the remainder when q is divided by w(-6).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7323328 divided by 901?\nAnswer: -8128","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s**2 + 4*s + 4. Let y be m(-4). Let d(z) = 10*z**2 - 2*z - 1 - z + y*z. What is d(1)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 10*w - 35 = 0. What is the third derivative of -3*j**2 + w - 7 + 3*j**4 wrt j?\nAnswer: 72*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -9*m + 67. Let h be ((-8)\/(-5))\/((-23)\/(-115)). Let i be x(h). Let p(c) = c + 12. Give p(i).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8 divided by 16926\nAnswer: 4\/8463","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (11 + -8 - 17) + 18\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/((-28)\/105))\/(5\/(60\/18)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uuu when three letters picked without replacement from sussssssuussusuuss?\nAnswer: 5\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 17598?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bfiub. What is prob of picking 2 b?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -73*s + 67*s + 42. Suppose s - 3 = h. Solve -h*k + 4 + 4 = 0 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1001 - 10000110110011101100001?\nAnswer: -10000110110011101011000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 4602.515 centimeters?\nAnswer: 0.04602515","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the third derivative of -1\/30*k**6 - 4\/105*k**7 - 1\/84*k**8 + 0*k**4 + 0 + 0*k**5 + 0*k + 48*k**2 + 0*k**3. Factor f(j).\nAnswer: -4*j**3*(j + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -2 + 1*-2 + -1. Let t be 3\/w*2\/3. Suppose -3*p + 4*l = -8, -4*p + 2*p - 5*l - 10 = 0. What is the nearest to p in t, 3, 0.5?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (81\/(-18))\/((72\/(-3))\/(-2))?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -12 + 36. Suppose 3*f = 7*f + q. List the prime factors of (f\/9 + 3)*6.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*f + 32 = -112. Calculate the highest common divisor of 9 and f.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4 - 5*q**3 + 4*q**3 - 10*q**3 + 7*q**2 - 8*q**2 to f + u*q + a*q**2 + z*q**3 and give z.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -477 * 18\nAnswer: -8586","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -8*t + 23. Is k(-13) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/8 of a microgram in nanograms?\nAnswer: 3125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 11*x + 119. Let c be o(-10). Suppose -c*p - 10196 = -5*w - 12*p, -3*w = -2*p - 6129. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:48 AM and 6:15 AM?\nAnswer: 327","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -9*f**3 + 7*f**2 + 23656*f - 23654. Determine w(1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-25 + 4*t + 25)*(-2 + 2*t**2 + 2) + (t - t**2 - t)*(t - 1 + 2*t + 0*t) as x*t**3 + s + p*t**2 + f*t and give x.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Total of -212 and -4073.1.\nAnswer: -4285.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 18648163 to the power of 1\/3, to the nearest integer?\nAnswer: 265","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:30 AM and 11:05 AM?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2971 - 4590 = -3*a + c, -12613 = -5*a - 4*c. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-8 - (1 - -4)) + 30 + -18\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2146 + -1031. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (q + 0*q + 0*q)*(-q**3 + 1 - 1) - 6396 + 6396 - 13*q**4.\nAnswer: -14*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3.219 - -0.219. Let s be (-4)\/(-8)*-8 + 12. Let y be s\/(-12)*75\/(-10). Which is the second biggest value? (a) f (b) y (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the first derivative of -4*y**6\/3 + 26*y**5\/5 - 11*y**4\/2 + 4*y**3\/3 + 4. Suppose t(g) = 0. What is g?\nAnswer: 0, 1\/4, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 480 + j**4 - 480 - 6*j**3 - 2*j**2 in the form v*j**4 + r + o*j**3 + c*j + i*j**2 and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 15946 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -45\/19 less than or equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Are -1568\/13 and -122 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ppj when three letters picked without replacement from ypyjyypyyjjppjp.\nAnswer: 8\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vl when two letters picked without replacement from {l: 1, u: 1, r: 6, s: 2, v: 9, h: 1}?\nAnswer: 9\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Are -0.1 and 5739160 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -d**2 + 22*d - 52. Let s be x(19). Solve -4*u = 3*w - s*u + 14, -u = 2*w + 11 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = m**3 - m**2 + m. Let g(v) = 3*v**3 - 4*v**2 + 4*v - 17. Give g(a) - 4*h(a).\nAnswer: -a**3 - 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 54 (base 14) to base 5.\nAnswer: 244","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -285, -542, -803, -1068, -1337, -1610, -1887?\nAnswer: -2168","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 37 - 36.81. Let o = p + 0.01. Let r = 2 - 2. Which is the closest to 1? (a) -0.1 (b) o (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.009 - 0.265. Let v = m + 36.056. Let p = v - 36. Which is the biggest value? (a) 1 (b) p (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25*s**3 + 8*s**3 - 88*s**3 - 192*s**3.\nAnswer: -247*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -x**3 - 54*x**2 - 47*x + 324. Let d be z(-53). Let w = 50 - 20. What is the highest common divisor of w and d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -36666 (base 8) in base 2?\nAnswer: -11110110110110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 644 minutes after 4:21 PM?\nAnswer: 3:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j + 11 = 4*z, j - z + 6 - 7 = 0 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 5, r: 2, y: 6}. What is prob of sequence ryyu?\nAnswer: 5\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 36076399 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -288*m**3 - 139*m**3 - m**2 + 46*m**3 - 1 - 42*m**3.\nAnswer: -423*m**3 - m**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -31? (a) -231 (b) 28 (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2121202 + -12?\nAnswer: -2121221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1001 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 69\/(-12) - 3\/(-4). Let s(n) = -17*n**2 - 5*n + 2. Let u(v) = v**2 + v. Let p(b) = y*u(b) - s(b). Differentiate p(i) with respect to i.\nAnswer: 24*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ccz when three letters picked without replacement from czzlczz.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -23561, -23564, -23567, -23570?\n\"Answer: -3*j - 23558","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/7 - 2\/7*a**2 + 4\/7*a.\nAnswer: -2*(a - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 629040 and 80?\nAnswer: 629040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -226 - 142*v**4 - 6*v**3 + 116 - v + 16*v**3 + 110 to d*v + g*v**3 + q + p*v**4 + n*v**2 and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(2\/3)\/v**2*(v**(-2\/3))**41)\/((v**(-2\/9)*v**(-7))\/(v*v**(-7)*v*v**(-1\/3))) assuming v is positive.\nAnswer: v**(-241\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 370 and 15.\nAnswer: 1110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + g + 172 = 0. Suppose -g = -5*l + 47. Calculate the remainder when 33 is divided by l.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -8292 or -8262?\nAnswer: -8292","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 15 or -15.3059?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c\/(c\/(c\/(c*(c**(1\/11)\/c)\/c*c*c))))\/(c**(6\/7)*c)*((c*c\/(c*(c*c**(-1))\/c))\/c)\/(c*(c\/c**(3\/13))\/c) assuming c is positive.\nAnswer: c**(-718\/1001)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 17*d - 2. Let b be 1\/(-3 - -4) + 4. Is x(b) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2975 = -13*y + 973. Let r = 274 + y. What is the units digit of r?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 times -4.5?\nAnswer: 1.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 405 and 810.\nAnswer: 810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-7*n**3 - 23*n + 46*n - 25*n)*(n - n - 2*n)*(-4 - 4 + 5) - n**4 - 1 + 1 to x*n**2 + l*n**4 + z + c*n + p*n**3 and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 8*h**3 - 4*h - 1. Let d(z) be the first derivative of 9*z**4\/4 - 5*z**2\/2 - z - 86. Calculate 4*d(b) - 5*w(b).\nAnswer: -4*b**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 13*n**2 - n. Let l be h(-1). Suppose -d = -5*i + 25, -4*d + 4*i - 19 = 17. Let v be 9 - (-2 - d) - 2. Solve v*b - l + 6 = 0 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1.99 + -0.01. Let w = -121.05 + 125. Let c = w + 1.05. Are c and s equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 41 + -26. Let j be 2\/(-3) + 10\/y. Let l(s) = -s**2 - 2*s + 2. Let b be l(j). What is the closest to -0.6 in 0.4, -0.3, b?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 78 and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = o - 13*b + 14*b - 8, o - 14 = -3*b for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 3*t + 1 + 6 = 0, -t = 2*k - 19. Calculate the common denominator of 4 + -2 + 75\/k and 15\/11.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -6 + -16 - 2*-2. Let h be (16\/(-1))\/((-22)\/(-22)). Is d > h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by 38.\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -17\/7302 and 29\/1005.\nAnswer: 2446170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -20.1 (b) -1 (c) -11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 3\/10 (b) -0.7 (c) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -54*j**2 - 281*j**2 - 99*j**2 + 83*j**2 - 1229*j**2.\nAnswer: -1580*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -s**2 - 26*s - 24. Determine u(-20).\nAnswer: 96","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r**3 - 9*r**2 + 18*r - 4. Let c be s(7). Suppose 8*v - 56 = -c. Solve -3*y + 0 - 2 = v*p, 3*p = -4*y - 5 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -4*a - 22. Let q(h) = -h. Let k(i) = 6*q(i) - 2*s(i). Let n(j) be the first derivative of j + 0*j + 1403 + j - 1377. What is -2*k(b) + 44*n(b)?\nAnswer: -4*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 0 - -101?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 81\/1778 and 89\/439420?\nAnswer: 3075940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -38094 + 52*a - 37487 + 75581.\nAnswer: 52*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*f - 3, 3*x - 9*f = -5*f - 19 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 805287*a**2 - 709*a + 995?\nAnswer: 1610574","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*j - 31*j = 0. Let q be (-2*1)\/((-7)\/14). Suppose 121 = 5*x - j*p - q*p, 2*x + 3*p = 30. Does 7 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.5 (b) 0.03 (c) -0.1 (d) 398\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mmmmfmmmebemmebmmmfm. Give prob of sequence fbbe.\nAnswer: 1\/9690","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) be the first derivative of 0*o**2 - 2\/3*o**4 + 22*o - 33 + 0*o**3. Let y(f) be the first derivative of v(f). Let i(a) = 2*a. Determine y(i(r)).\nAnswer: -32*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 246 minutes before 6:40 AM?\nAnswer: 2:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 18*v + 9*v - 28*v. Suppose 0 = 5*u + a - 30, 0 = -2*u - 0*u + 2*a. Suppose -3*x + u*o + 52 = v, 59 - 171 = -5*x + 2*o. What is the tens digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 527262.2 decades in months?\nAnswer: 63271464","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 332235.8 kilograms?\nAnswer: 332235800000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -15*j**3 + 10. Let w(r) = 15*r**3 - 9. Give -4*i(h) - 3*w(h).\nAnswer: 15*h**3 - 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(42)\/(1*sqrt(7))*-2)\/(4*sqrt(4)\/sqrt(2)*6).\nAnswer: -sqrt(3)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*v**3 - 32*v**2 - v**3 - 31*v**2 + 67*v**2 to x*v**3 + d*v + u + r*v**2 and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 72*k. Let g(b) = 1171*b + 5 - 3 - 1155*b - 2. Let v(o) = -7*o. Let t(d) = -6*g(d) - 14*v(d). Calculate t(q(j)).\nAnswer: 144*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 x when two letters picked without replacement from mxxxxxbxx.\nAnswer: 7\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -87458436 divided by -2?\nAnswer: 43729218","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -1167870*o + 46*o**2 + 1167767*o - 2*o**4 + 0*o**4 in the form i*o**4 + w*o + j*o**2 + k*o**3 + a and give j.\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-994)\/(-568)*((-4)\/28)\/(6\/(-3))?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 18\/(-15)*(5\/2)\/1\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-4 + 10)\/(-2 - 0). What are the prime factors of (39\/b)\/(-5 - -4)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 15 = -5*v, p + 2 = 3*v + 1. Let z = p - -2. Determine o so that 0*o**5 + o**3 - o**2 + 2*o**z - o**5 - o**4 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 4 = 28. Let p = -4090 + 4074. Is p < b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1012 or 1013?\nAnswer: 1013","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1994930371.\nAnswer: 7, 239, 1192427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyxyyvxyqvxxnqyq. What is prob of picking 2 y?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 4 = 2*a - 2, -4 = -2*b. Let d be (-82)\/126 - a\/9. Suppose -5*n + 23 = 2*o, 5*o - 3*n + 30 = 10. Which is greater: d or o?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -787540 (base 13) to base 5.\nAnswer: -1212000230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -2 + (-2 - -4) + 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 294707 is divided by 100.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -22.83591247 rounded to one dp?\nAnswer: -22.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -277, -552, -823, -1090, -1353, -1612?\nAnswer: -1867","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 2*k**2 - 5*k - 15. Give x(7).\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 27 + (-171 - -134)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -4*n + 85. Let v be q(20). What is the closest to -4 in -0.1, v, -0.042?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*y + 0 + 0 + 2*y - 2*y + y + 3*y - 5*y + 6*y + (-2 - 1 + 4)*(y + 0 + 0) + 2*y + 3*y - 4*y)*(-y + 3 - 3) - y**2 - 2*y - 60 + 51 + 2*y**2.\nAnswer: -4*y**2 - 2*y - 9","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 251 minutes after 4:11 PM?\nAnswer: 8:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*2*sqrt(108) + sqrt(108)*-2*6 + 1)**2.\nAnswer: -48*sqrt(3) + 1729","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o**5)\/o**(-10))**(6\/13) assuming o is positive.\nAnswer: o**(96\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b**5 + 4*b**4 - 4*b**4 + 8*b**4 + 2*b**5 + 4*b**3 = 0. What is b?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 29 and -11\/4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the third derivative of -2*k**5\/5 + k**3\/3 + 2*k**2 + 1244*k. Let n(r) = -16*r**2. What is n(y(z))?\nAnswer: -9216*z**4 + 1536*z**2 - 64","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqqiibjq. What is prob of picking 1 b and 2 i?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -171*o + 171*o + 40421*o**2.\nAnswer: 40421*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 217800 and 56562660?\nAnswer: 565626600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2.42 + 3.048. Let n = 0.088 - l. Let c = n - 0.46. Is -3.5 != c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -x**2 - x - 3. Let d be h(-4). Is d at least as big as -14?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5.243 + 4.55. Let c = -0.76 - w. What is c rounded to 2 decimal places?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 113*d - 123*d = -180. Suppose 39*i = d*i + 20223. What is the tens digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from llllllsls. Give prob of sequence ll.\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 22*x**2 - 225*x + 49. Let u(w) = -7*w**2 + 75*w - 14. Let i(k) = 2*l(k) + 7*u(k). Factor i(p).\nAnswer: -5*p*(p - 15)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -11*t + 2*t**2 - 2 + 7 - 1 - 1. Is g(-5) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 18\/533 and -33\/2610907?\nAnswer: 107047187","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -220 + 0?\nAnswer: -220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 0 + 1 + (-5 + 2 + 4)*(-4 - 1 + 4))*(-3*y + 3*y - y).\nAnswer: -2*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 16 + -9. Let m = 7.3 - d. Let j = m - -0.1. Which is the smallest value? (a) 3 (b) j (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 38 divide 5966?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 11) in base 15?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -b**3 + 3*b**2 - 4*b + 3. Let y be q(2). Let f be -6 + 3 + 13 + y. Solve -2*t - f + 1 = -2*x, 3*x - 5*t = 20 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*n**4 - 9*n**3*s + 34*n**3 + 106*n**2*s + 68*s wrt n?\nAnswer: 72*n - 54*s + 204","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by 27.\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (0 + -5 + 2 + sqrt(117) + sqrt(117) + 4)**2.\nAnswer: 12*sqrt(13) + 470","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3292\/4095 - 50\/63. Sort o, 0.5, 0.2.\nAnswer: o, 0.2, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -99418 - -99417.9999825138. Round c to 6 dps.\nAnswer: -0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 5*j**2 - 8*j**2 - 5 + 10 wrt j?\nAnswer: -6*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2210000 to the nearest 100000.\nAnswer: -2200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4817, -38643, -130475, -309329, -604221?\nAnswer: -1044167","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*h**2 + 3*h**2 + 427*h + 2*h**4 - 3*h**2 - 5*h**3 - 426*h in the form l + s*h + c*h**3 + v*h**4 + m*h**2 and give m.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -288, -586, -884?\n\"Answer: -298*t + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -209 + 199.55. Let h = 9.4500838 + f. What is h rounded to five decimal places?\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 3*u = -2*f + 63, 4*f = -3*u + 81. Does 3 divide 351\/f + (-3)\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 2*f**2 - 46*f + 90. Calculate the remainder when 361 is divided by g(2).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10*(174\/150)\/(-1*9\/45)\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - h - 213 = 0, -416 = -2*y + h - 4*h. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 590.1 + -589.9. What is the nearest to z in 3, 0.1, -59, 1\/3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -8 - 10*f + 0*f**3 + 5*f**2 - 2*f**3 + 3*f**3. Let v = -848 - -842. Let w be j(v). Solve -3*q - 1 + w = 0 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(2299) + 0 + 5))**2.\nAnswer: 1760*sqrt(19) + 37184","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4552 - -4546. Which is the nearest to -1? (a) y (b) 36 (c) 2\/11 (d) 3\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 24912*k - 22252. What is o(1)?\nAnswer: 2660","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 24*r - 376 + 448 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 2 = 4*p, 2*p - 26 = -4*t - 0*p. Suppose 5*i = 3*w + 309, t*w - 4 = -4*i + 221. Does 15 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*y**2 - 1170*y + 47075.\nAnswer: -5*(y - 35)*(y + 269)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = 5*l - 30, 8*l + k + 20 = 11*l. Solve 0 = -l*y + 13*y - 8 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.1 (b) 658 (c) -1 (d) -3\/1205\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 46 + -91. Let c be 1034\/(-198) + (-5)\/(f\/2). Put c, 0, -4, -7 in ascending order.\nAnswer: -7, c, -4, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -424011, -848023, -1272035, -1696047, -2120059?\n\"Answer: -424012*a + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -83? (a) -5\/4 (b) 5 (c) -2123 (d) -4 (e) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in -1\/13, 5, -9, -1?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -2*i + i**2 - 2*i**2 - i**3 - 2 + 3 - 3. What is o(-2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/(h*h**2\/h*h))\/h**(-3))**(-2\/25)*(h**0\/h)**(-5\/9)\/(h**1)**(-48) assuming h is positive.\nAnswer: h**(10907\/225)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -90 - -93. Suppose -j - 2*k = -8, -3*j + s*k - k + 24 = 0. What is the units digit of 1\/((-10)\/(-378)) + j\/40?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -3, 0.1, 0.17, -20?\nAnswer: -20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 289 minutes after 2:08 AM?\nAnswer: 6:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -16 + 15. Let z be (g + 0)\/(2\/(-6)). Suppose -2*o + w + 5 = -0, -z*w - 7 = -2*o. Solve -9 = n + o*n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ccj when three letters picked without replacement from {y: 1, c: 3, j: 1, p: 2}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -20*z - 64. Let i be o(-2). Let c = i + 141. Calculate the highest common divisor of 91 and c.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2b1 + b?\nAnswer: 2bc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9.02 + -8.72. Which is the third biggest value? (a) -0.2 (b) 0.2 (c) 3\/8 (d) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 0.0138 (b) -1 (c) -0.05 (d) 1\/2 (e) -18\/25\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24344 is divided by 153?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.100755139324 take away 1518?\nAnswer: -1517.899244860676","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0505907 to 4 decimal places.\nAnswer: 0.0506","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x = 3*q + 6, -8141*q - 2 = -8140*q + 2*x for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i - t + 31 = 0, -17*i = 1113*t - 1110*t + 139 for i.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 5, z: 7, a: 1}. Give prob of picking 2 z.\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = 5*t - m + 20, -3*t - 3*m = 6. Let k be (-18)\/2*t\/(-18). What is the nearest to 1\/2 in k, 3, -5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.28278 times 695?\nAnswer: 196.5321","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 39980010 = 2*d, 0 = -75*d + 78*d + 4*n + 59969992. Round d to the nearest one million.\nAnswer: -20000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 53\/9997970 and -59\/46180.\nAnswer: 19995940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -36 + 2*v + 30*v**4 + 27*v**3 - 28*v**4 - 25 + 63 - v**2 in the form p*v**4 + z*v**3 + j*v + w*v**2 + t and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y**6)**15)**(-4\/35))**9 assuming y is positive.\nAnswer: y**(-648\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1694 - 4?\nAnswer: -1698","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2228 by -322888.\nAnswer: 557\/80722","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 837.8019 - 838.4. Let s = 0.59 + t. Round s to 3 dps.\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (1048\/10)\/((-6)\/(-15))?\nAnswer: 2, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 292 is divided by 82.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 27407584 and 184?\nAnswer: 630374432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the first derivative of -n**4\/2 + 4*n**3\/3 - 3*n**2\/2 + 2*n - 3. Let f be w(2). Let p(c) = 4 - 2 + 5*c**2 - 3 + c**3 + 3*c. Determine p(f).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 2804871 and -4.\nAnswer: 2804867","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 4752164341 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -125325 (base 6) to base 14\nAnswer: -4309","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 5, v: 3, h: 1}. What is prob of picking 1 a, 2 v, and 1 h?\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6.97 + 7. Let k = 368.5 + -368. Suppose 6 = 5*c - 9. What is the closest to -2\/5 in k, c, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -64 - -956. Let q = -618 + y. What is the hundreds digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = -6, 3*m + 29 = -5*k - 32. What is the lowest common multiple of 6 and (m\/17)\/(1\/(-22))?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/55*-5 - 28\/33\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12548.\nAnswer: 2, 3137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 277 minutes before 5:06 AM?\nAnswer: 12:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -422 divided by 422.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) be the third derivative of 0 + 0*l + 1\/180*l**6 + 0*l**4 + 4*l**2 - 1\/180*l**5 - 1\/630*l**7 + 0*l**3. Factor o(r).\nAnswer: -r**2*(r - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of -2*(-1 + 176)*-2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5572, 5499, 5418, 5323, 5208, 5067, 4894, 4683?\nAnswer: 4428","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -750 divided by 6?\nAnswer: -125","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2604*a + 2618*a + 3630398 = 8533380. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 495 + -486. Suppose -d*c + 2077 = -8120. What are the prime factors of c?\nAnswer: 11, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -63 = -7*q + 77. Let t(h) = -h**3 + 12*h**2 + 21*h - 356. Let y be t(11). Put y, 1, q in descending order.\nAnswer: q, 1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 847060.5 nanometers?\nAnswer: 847.0605","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2 - -156202?\nAnswer: 156200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 57859 to the power of 1\/2, to the nearest integer?\nAnswer: 241","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 116103 less than or equal to 115877?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the first derivative of 2*b**7\/35 + 13*b**4\/24 - 11*b**2\/2 - 8. Let z(w) be the second derivative of d(w). Find the second derivative of z(u) wrt u.\nAnswer: 144*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/25 of a tonne in kilograms?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4437 and 28710?\nAnswer: 261","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 182791.0966 to the nearest ten.\nAnswer: 182790","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4447389?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 643601568 to the power of 1\/3, to the nearest integer?\nAnswer: 863","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15.5780646 hours to weeks.\nAnswer: 0.092726575","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.3281 and 0.1.\nAnswer: 0.4281","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - d + 393 = 3062, -2*u + 2659 = -3*d. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cotto. Give prob of sequence tc.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d - 5019*t - 1 = -5020*t, -3*d = -2*t for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((sqrt(720) - sqrt(720)*4) + 0) + -5 - ((-1 + -3*sqrt(720))*-4*-1)**2.\nAnswer: -103701 - 1080*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -36, -54, -60, -48, -12, 54?\n\"Answer: y**3 - 25*y - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 126 = -a. What is the units digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 4 + 6240*q + 5 - 6231*q - 39*q**3. Let k(g) = -19*g**3 + 4*g + 4. Determine -9*k(s) + 4*w(s).\nAnswer: 15*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 17222\/17 + -120503\/119. What is y in -24\/7*y**3 + 51\/7*y**2 + 0 - 30\/7*y + c*y**4 = 0?\nAnswer: 0, 1, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-3)\/5)\/(3 + 80\/(-25)). Suppose -3*g - m*y = -24, -8 = -5*y - 3. Solve r - g = -6 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.4 and 804962533711033?\nAnswer: 804962533711032.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*c**4*t**3 + 4630*c**4*t**2 - 8*c**2*t**3 + 50*c**2 - 2*c*t**3 + 2*c*t**2 wrt c?\nAnswer: 48*c*t**3 + 111120*c*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*b**2 + 1244*b + 1246.\nAnswer: -2*(b - 623)*(b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -2134d (base 16) in base 12?\nAnswer: -66865","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 36539*c + 3022*c**2 + 36528*c - 73067*c.\nAnswer: 3022*c**2 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 341 + -341. Suppose -5 = -n - 0. Solve -n*p - 5 = -x for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*k - 42*r + 40*r + 129, 3*k - 129 = -r. What is the highest common divisor of 1 and k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (19 + -1335)\/(-14) + -4 + 1. Put 1, 2, 5, s in descending order.\nAnswer: s, 5, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r*r*(r*r\/(r\/((r**(-36\/11)\/r)\/r))*r*r)\/r*r**(1\/2) assuming r is positive.\nAnswer: r**(-17\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + -1 + -1 + -19 + -3459 + 3448?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 - (-6 + -5 + 6) - -6.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 189538?\nAnswer: 2, 97, 977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -155*p**3 + 27081*p**4 - 441*p - 1459*p - 27086*p**4 - 1240*p**2 = 0. What is p?\nAnswer: -19, -10, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.2 - 0.3. Which is the nearest to 0.1? (a) 3 (b) i (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -259 + 259 - 840*m**3 + 225*m**3.\nAnswer: -615*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 238, 246, 266, 304, 366?\nAnswer: 458","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is v in v**3\/4 - 8637*v**2\/4 + 498423*v\/4 - 7214939\/4 = 0?\nAnswer: 29, 8579","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 8*n + 18. Let a be y(-2). Let f be 3\/a - (-11)\/2. Solve 2*r - f*r = 25 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -17*l - 3. Calculate the remainder when b(-1) is divided by 9.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f = 3*d + 58 - 73, 38 = f + 12*d for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -22*b**2 + 18*b + 51. Let w be h(-5). Let k = -307 - w. What is the tens digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 201739 is divided by 5452?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 + 110 = 4*g. Suppose 22*r - g*r + 8 = 0. Let j be (-15)\/13 + r\/13. Does 3\/16 = j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (9 - 1 - 6) + (-762)\/268 + (-190)\/(-228)\nAnswer: -2\/201","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 122122 (base 3) to base 14\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -z**3 - 5*z**2 - z - 1. Let o(r) = -3*r - 44. Let w(m) = -m - 15. Let q(u) = 4*o(u) - 11*w(u). Let x be q(-9). Calculate d(x).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 146*u - 2. Let c(p) = -439*p + 5. Give 3*c(o) + 8*i(o).\nAnswer: -149*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 433867.8 months in millennia?\nAnswer: 36.15565","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/134, -2, -0.3, 5, -0.1 in descending order.\nAnswer: 5, -3\/134, -0.1, -0.3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.05 * 76604.\nAnswer: -3830.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 150967 + -23372.\nAnswer: 127595","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 p when four letters picked without replacement from {p: 7, j: 3}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 2331 - 2337 - (0 + -3 - 44)?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2006 and 15474.\nAnswer: 15520422","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*t + 2896 = -2*z - 18573, 4*z = -5*t + 15297. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2012313111 (base 5) in base 12?\nAnswer: -1421a67","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*v**3\/19 - 96*v**2\/19 + 1536*v\/19 - 8192\/19.\nAnswer: 2*(v - 16)**3\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 25056 a multiple of 54?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-84)\/(-18)*(-15)\/(-5).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.02 + 77795691.\nAnswer: 77795691.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 184417 is divided by 218?\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1549462860.\nAnswer: 2, 3, 5, 11, 43, 18199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.18657, 1, 0.5, 2\/3 in descending order.\nAnswer: 1, 2\/3, 0.5, 0.18657","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = 6*s - 3822, 7695 = 2*w + 106*s - 111*s. Calculate the greatest common factor of 288 and w.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 22576 divided by 166\nAnswer: 136","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - j = -804, -j + 4*j + 148 = a. What is the greatest common divisor of 10 and a?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -51 - (-21 + 9 + 8) - (0 + -4 - -6)?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 361 at most as big as 2\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve f = -2*i + 13, -3*f - 14 = -f - 4*i for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 - (11 - (-664)\/(-60))\/((-6)\/790)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -144, -491, -1050, -1815, -2780, -3939, -5286, -6815?\nAnswer: -8520","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 h when four letters picked without replacement from hhhhhh.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -22*a - 7. Let p(b) be the third derivative of 65*b**4\/24 + 10*b**3\/3 + 132*b**2. Determine 17*c(s) + 6*p(s).\nAnswer: 16*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -11 - 11113310?\nAnswer: -11113321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12682*z - 16 = -12680*z for z.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3066729 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -13254 + 13257. Put -8, w, -3, 86, 0 in decreasing order.\nAnswer: 86, w, 0, -3, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 23.5646 centimeters to meters.\nAnswer: 0.235646","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-18)\/(-24)*12\/27\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j**2 - 5*j + 3. Let d be q(5). Suppose 5*o - 44 = 4*l, d*o - 4*o + 4*l = -12. What is the units digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -5*f + 35. Find the third derivative of -38*g + 38*g - 7*g**2 - 20*g**f wrt g.\nAnswer: -1200*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/2175, 12\/5, -2?\nAnswer: 2\/2175","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-11)\/((-55)\/(-50)))\/(-2). Suppose 2*w - 5*v = 21, 0*v = -5*w - k*v. Suppose 7 = -w*l + 127. Is 8 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 64457714.\nAnswer: 2, 397, 81181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 98 - 289 - 5*i + 94 + 97.\nAnswer: -5*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 11482*f*m - 41792719*f - 415*m**2 wrt m.\nAnswer: 11482*f - 830*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5 + -21. Let h = 15.45 + g. Let i = -0.21 + h. What is i rounded to one dp?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 10928 - 11839. Which is smaller: -909 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*v = -17*v - 45855. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 226764\/1473797 + -2\/113369. Factor 512\/13 - 62\/13*o**2 - s*o**3 - 448\/13*o.\nAnswer: -2*(o - 1)*(o + 16)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = 18*y - 89. Put 1, 5, 2, y in descending order.\nAnswer: 5, y, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -201 - -246. Suppose -t*h + 52*h = 35. Solve 0 = -6*s + h*s - 3 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -47*g**3 + 6*g**4 + 2*g**5 - 34*g**3 + 61*g**3.\nAnswer: 2*g**3*(g - 2)*(g + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 7, g: 3}. Give prob of sequence glgl.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8 + 15 + 5*r**2 + 12 - 35.\nAnswer: 5*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -64 or -10384?\nAnswer: -10384","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 5, h: 3, z: 3}. What is prob of sequence ddhz?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3901.317l?\nAnswer: 3901317","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 104 = -2*i, -3*j - 3*i = -j + 89. Calculate the common denominator of (-5)\/2*j\/(-14) and 55\/14.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrr. Give prob of sequence rr.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 45 is divided by 23.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 195 and 3542682.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -76 - -80. Let v = 6\/1033 - -73199\/24792. Calculate the common denominator of v and ((-7)\/((-98)\/o))\/(96\/4228).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 1, w: 1, k: 1, x: 8, e: 4}. What is prob of sequence zxw?\nAnswer: 4\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -3\/2, -2, -3, 1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/11, -0.0219, 8\/7, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 16644 = -1284. What are the prime factors of i?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -8 + 141. Let v = -1730\/13 + w. Suppose 0 = 4*m - 3*s - 6, -2*m - 4*s - 8 = 2*m. Which is greater: v or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = 7*a + 54. Find the common denominator of -31\/2 and 40\/a + (-54)\/(-10).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 26754 divided by 14\nAnswer: 1911","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 165 - 326 + 2247*a + 161.\nAnswer: 2247*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = q. Let j(k) be the third derivative of -7*k**6\/360 - k**3\/2 + 3*k**2. Let i(s) be the first derivative of j(s). Determine i(d(p)).\nAnswer: -7*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -5*l + 5*r, -3*l = -6*l - 3*r - 15. Let u be (l\/3)\/(2\/18). List the prime factors of (2\/u)\/1*-45.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(-4)*240\/45.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 2*w**2 - w - 10. Let z be f(3). Suppose -s - b = -20 - 0, 55 = 2*s + 5*b. Solve -2*o + s = -z*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*o + 49113 = -78487. What are the prime factors of o?\nAnswer: 2, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q = h + 29, -4*h - 77 + 24 = -23*q + 75 for h.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/28*52\/((-624)\/70) - (-308)\/(-288)\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 4*u**2 + 83*u + 559. What is x(-14)?\nAnswer: 181","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 142566 is divided by 92?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 34 and 8483?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 136 a factor of 5796592?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) be the first derivative of 7*v**3\/3 - 249. Let h(n) = -30*n - 1. Calculate x(h(r)).\nAnswer: 6300*r**2 + 420*r + 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -14*d - 18. What is c(-12)?\nAnswer: 150","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -114, -108, -102?\n\"Answer: 6*t - 120","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-4 + 4 - 1)*(5 - 4 + 0) - 1 - 2 + 7)*(3 - 3 - 3*a)*(-5 - 7 + 2).\nAnswer: 90*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -9001 or -9002?\nAnswer: -9002","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 1845, 11853, 38211, 89097, 172689, 297165, 470703?\n\"Answer: 1363*u**3 - 3*u**2 + 476*u + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 192, 359, 610, 945, 1364, 1867, 2454?\n\"Answer: 42*f**2 + 41*f + 109","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wb when two letters picked without replacement from {w: 3, b: 5}.\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -2*c. Suppose s = 4*s - 6. Let n(j) be the second derivative of 0 + j + 1\/3*j**3 + 0*j**s. What is n(q(b))?\nAnswer: -4*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -757*x. Let o(q) be the third derivative of q**5\/30 + 3*q**2 + 300. Give o(l(d)).\nAnswer: 1146098*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -29*d**2 + 1 - d + 13*d**2 + 15*d**2. Let v(x) = 5*x**2 + 2*x - 2. Let c(f) = v(f) + 2*z(f). Let k(u) = 13*u. Determine k(c(m)).\nAnswer: 39*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 460 divide 46448040?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -3*p + 6*p - p. Calculate the remainder when 18 is divided by b(5).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 210 = 2*l - 4*i, -3*l + 3*i + 316 = -2*i. What is the hundreds digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 w when two letters picked without replacement from zlszspbw?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2\/13*k**5 + 4\/13*k - 2\/13*k**4 + 6\/13*k**3 + 10\/13*k**2 + 0 = 0 for k.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0\/(4*3\/12). Solve 5*w + i - 13 = x, 5*w + 2*i = -3*i + 25 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/4 (b) -30 (c) -2 (d) 2\/7 (e) -64\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 2*h = 1 + 13, -3*h = j - 39. Suppose -u - j = -3*u. Let t be -3 - -5 - (2 + -84). What is the greatest common factor of t and u?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w = -5*v - 4 + 17, -3*w = 2*v + 4 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 93107 or 93106?\nAnswer: 93107","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n and 2 i when four letters picked without replacement from {i: 9, n: 7}.\nAnswer: 27\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -4878079, -4878080, -4878083, -4878088, -4878095?\n\"Answer: -k**2 + 2*k - 4878080","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1008*t + 1342*t - 31883 - 155416 = 7751 for t.\nAnswer: 83","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -n**3 - 3*n**2 + 3*n**2 + n**3 + 0*n**3 + 0*n**3 + (4 - 3 - 2)*(-n**3 + 4*n**3 - n**3) - 2*n + 2*n + n**3 + 2*n**3 + n**3 - 6*n**3.\nAnswer: -4*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -18? (a) 51 (b) 2.5 (c) 2.83 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o**3 - 6*o**2 - 6*o - 9. Let q be r(7). Let w = 3 + -3. Let h = q + w. Which is the nearest to 1? (a) 2 (b) -1 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.194 - -0.094. Which is the fourth biggest value? (a) 3 (b) -2\/5 (c) -2 (d) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 144 = -2*u, 71*l - 69*l - 45 = 5*u. Suppose -l*a + 99 = -21. Solve 2 = -0*j - j - a*t, 5*j + 4*t = -10 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 1, g: 1, o: 2, k: 2, n: 1, d: 1}. What is prob of sequence nokk?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 16336?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -4*y - 104. Let m be d(-26). Suppose 9*l + 0*l - 135 = m. Calculate the lowest common multiple of l and 9.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -d**2 - 3*d + 34. Suppose -2*l + 5*a + 7 = 6*a, 13 = 2*l - 5*a. Calculate n(l).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 15 + 7 = 0. Let a be 1\/(g\/10 + -2). Suppose f = -a*v - 8, -5*f + 3*v = v + 13. Is f at least -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 8 * 529.\nAnswer: 4232","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -20\/10453 or 1?\nAnswer: -20\/10453","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 7260.219l in millilitres?\nAnswer: 7260219","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = 2*q - 22, -3*d = 2*q - 11 - 23. What is the common denominator of d\/40*50\/4 and ((-202)\/(-24))\/(2\/(-4))?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -4, 1\/6, -0.03, -24, 3 in descending order.\nAnswer: 4, 3, 1\/6, -0.03, -4, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/5, -0.5, 2, -244, 0 in ascending order.\nAnswer: -244, -0.5, 0, 2\/5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 568 minutes after 7:49 PM?\nAnswer: 5:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fhfhf. Give prob of sequence hf.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 19*s**3*w**2 - 1183*s**2*w**2 + s**2*w wrt s?\nAnswer: 114*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y**2 + 11*y + 60. Suppose 0 = -5*j - 4*u + 51, 0 = j - 2*j + 4*u - 9. Calculate the remainder when k(-7) is divided by j.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - w = -24720, 4*n = 3*w - 137483 + 38599. Let a = n - -43124. What is a rounded to the nearest one thousand?\nAnswer: 18000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 72 - ((-531)\/(-1062) + ((-4)\/12 - (-1)\/(-6)))\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -4 - (31 + 13) - ((-1 - -2) + -8)\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -14 - -115?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -4 (b) 0.04 (c) 0 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1 + 15. Let m = i - 4. Solve -4*n = -p + 3 + 5, -5*n - m = 4*p for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4.14 - -27.24. Let q = 21 - w. Let x = q + 2.0999857. What is x rounded to 6 dps?\nAnswer: -0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by 38156.\nAnswer: 3\/38156","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -16.23 + 19.316. Let n = m + -0.086. Let q = -1.4 - -0.4. What is the third biggest value in n, -2\/7, q, 0.5?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7b302 (base 12) in base 10?\nAnswer: -164594","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -5 + 13255.4\nAnswer: 13250.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 55796603 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 9*z. Let v(f) = -138*f. Give v(j(m)).\nAnswer: -1242*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 12876685 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r**2 + 125660*r - 41893144 = 0. Calculate r.\nAnswer: 337, 31078","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-192)\/(-14) - (-34)\/119. Calculate the greatest common divisor of 140 and c.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) be the third derivative of c**7\/1365 - 2*c**6\/65 + 92*c**5\/195 - 40*c**4\/13 + 400*c**3\/39 + 422*c**2 - c. Find j, given that u(j) = 0.\nAnswer: 2, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s, 1 p, and 2 g when four letters picked without replacement from {r: 1, s: 1, p: 3, g: 2}.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12*8\/60)\/(12\/(-120)).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 296761528 to the nearest integer?\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 3*o**3 - 216*o**2 - 13*o + 240. Calculate k(72).\nAnswer: -696","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*b + 9 - 24 = 0 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9222.\nAnswer: 2, 3, 29, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1912943 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(2\/105)\/n**(-20))\/(n\/(n\/(n*n*(n\/(n\/n**1))\/n))*(n*n\/(n**(-42)*n))\/n) assuming n is positive.\nAnswer: n**(-2518\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -28, 1, 0.182, -0.6, 5, -2\/5?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4*1*9\/90.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 48 + -52 - (1 + -1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52*b + 647 - 505 = -3134 for b.\nAnswer: -63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) be the second derivative of -437*n**6\/30 + 11*n**4\/12 + n**2\/2 - 2497*n. Find the third derivative of y(s) wrt s.\nAnswer: -10488*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1.3 and 0.1.\nAnswer: -0.13","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 379 is divided by 96.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) be the third derivative of 0 - 3*k**2 + 0*k**3 + 1\/8*k**4 + 0*k. Let z(m) = -m. Give t(z(c)).\nAnswer: -3*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3 - (-21)\/6)*0. Let k be 2*2\/(-4)*(u + 4). Let o be (-2)\/k*18\/21. Sort 1\/3, -3\/2, 2\/13, o.\nAnswer: -3\/2, 2\/13, 1\/3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 20, 111, 364, 863, 1692, 2935, 4676?\nAnswer: 6999","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -2*r**3 - 73*r**2 - 285*r + 6784. What is d(-26)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 207552 to the nearest one thousand.\nAnswer: 208000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 48233 and 33312?\nAnswer: 347","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3349440 is divided by 2452.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -6343 take away -2199269946?\nAnswer: 2199263603","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 8\/(-20) - (-4)\/10. Let y(t) = -220*t + 14082. Let v be y(64). Suppose 0*g - 3\/2*g**3 + m - 3*g**4 + 0*g**v = 0. Calculate g.\nAnswer: -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 276279*b**3 + 4*b**2 - 3*b - 4694877?\nAnswer: 828837*b**2 + 8*b - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 2653*0.3\nAnswer: 795.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 246*f**2*l**2*v - 7*f**2*l**2 + 5*f**2*l*v - 2*f*l**2 - 2*f + l**2*v - 1517*v wrt f.\nAnswer: 492*l**2*v - 14*l**2 + 10*l*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that -4*t**4 - 8*t**3 + 124*t**2 + 368*t + 240 = 0.\nAnswer: -5, -2, -1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 3, n: 1, y: 1, s: 1, a: 1}. Give prob of sequence yrs.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -150256 (base 7) to base 5\nAnswer: -1411301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2839800 rounded to the nearest 100000?\nAnswer: 2800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 43\/11 and -3\/155?\nAnswer: 1705","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 2) in base 7?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -48*q - 195. Determine g(-4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 31030 a multiple of 58?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 118.1 rounded to the nearest one hundred?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -0.961588 + -3\nAnswer: -3.961588","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*a**3\/5 + 234*a**2\/5 - 1233*a\/5 + 996\/5.\nAnswer: 3*(a - 4)*(a - 1)*(a + 83)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1561*y + 38702 + 22068 - 3385 + 11299 for y.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 357\/85 + 4*176\/(-320). Let s(x) be the first derivative of 7*x**2\/2 - 3*x + 1. Determine s(k).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11861 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1105231704?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2843*p - 8547*p - 10179*p - 10181*p.\nAnswer: -31750*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2, 0.094, -0.7?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -409 - 801. Let i = 520 + o. Round i to the nearest 100.\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:17 AM and 3:46 AM?\nAnswer: 89","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*b + 4*b - 3*b + (0 + 2 - 1)*(4*b - b - 4*b) + 2*b - 3*b + 3*b + 2*b - b - 2*b + (13*b - 2*b - b)*(0 - 5 + 1) as d*b + t and give d.\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 2*n**2. Let q(z) = 262065291*z**2. What is b(q(g))?\nAnswer: 137356433493829362*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 282878609 to the nearest integer?\nAnswer: 656","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 120 (base 4) to base 5.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = h**2 - 27*h + 31. Let w be p(26). Suppose -4*q - 178 = -w*q + 2*n, -3*q + 532 = -5*n. What are the prime factors of q?\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xlaw when four letters picked without replacement from {l: 3, w: 1, a: 8, t: 1, u: 2, x: 1}?\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - a = 510. Let w = a + 207. Suppose -u = -5*l - 6*u + w, -5*l + 75 = -5*u. Calculate the remainder when 71 is divided by l.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = n - 6*d - 40, 194*n = 195*n - 2*d - 16 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 9602136311 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the first derivative of i**4\/4 - 16*i**3\/3 - 39*i - 8. Let q be v(16). Let h = q + 40. Solve -3*c + h - 7 = 0 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -47*a + 16*a**2 + 47*a in the form v*a**2 + g*a + f and give v.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 9*w**3 - 5*w**2 - 45*w + 5. Let g(q) = -5*q**3 + 3*q**2 + 22*q - 3. Calculate 5*g(m) + 3*j(m).\nAnswer: 2*m**3 - 25*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5496*i + 110*i + 10892*i - 5504*i.\nAnswer: 2*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 1\/1*(540\/570)\/6\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 735900?\nAnswer: 2, 3, 5, 11, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -501*g**2*l*s**3*u + 2*g**2*l*s**2 - g**2*l*s*u - 2*g**2*s*u - g*s**3*u - 47*g*s**2 + l*s**3*u wrt s?\nAnswer: -3006*g**2*l*u - 6*g*u + 6*l*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1990?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = n - 4*o - 343, n = -9*o + 367. Let s = 14 + 8. Calculate the remainder when n is divided by s.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -62323*1\nAnswer: -62323","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 3*x**2 + 1. Let y = -3 + -2. Let n = 4 + y. Let f be m(n). Solve -2*r + f = -0 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 42815?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 13) to base 7\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 600.8726 rounded to the nearest 10?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6569*a**5 + 4*a**3 + 340*a**2 - 6*a wrt a?\nAnswer: -394140*a**2 + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d - 7*r + 12*r + 58 = 6*r, 2*d - 21*r - 142 = -r for d.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -136 - -135.5. Let y = 63 + -63.4. Put a, -2, y in descending order.\nAnswer: y, a, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 28697, 22713, 16731, 10751, 4773, -1203?\nAnswer: -7177","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/9? (a) 2 (b) -657 (c) 4 (d) 0.06 (e) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-two fifths of a meter in millimeters?\nAnswer: 10400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z**3\/5 + 419853*z**2\/5 + 503815*z - 2938929\/5 = 0. What is z?\nAnswer: -419847, -7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 327*h*z**2 + 192*z**2 wrt h.\nAnswer: 327*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 39276, 156834, 352718, 626928, 979464?\nAnswer: 1410326","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = o + 1. Let n be l(0). Suppose -8 - 8 = -4*w. Let k be (-24)\/684 - (-55)\/(-57). Sort w, n, k in ascending order.\nAnswer: k, n, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*q + 0*q + 4*q)*(-2438*q + 7455*q - 564*q) to f*q + z + d*q**2 and give d.\nAnswer: -4453","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 581 minutes before 2:39 AM?\nAnswer: 4:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 221861030 a multiple of 3085?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = -5*i + 85, -2*z + 7 = -3*z - 4*i. Let v = -13 - z. Is (v\/(-4))\/(2\/(-276)) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 12af + -169f4?\nAnswer: -15745","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -28, -113, -260, -475, -764, -1133, -1588?\n\"Answer: -t**3 - 25*t**2 - 3*t + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -33 and -180?\nAnswer: 5940","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -180072 divided by -9\nAnswer: 20008","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**19\/v*v*v**(-15))\/((v*((v**(2\/5)*v)\/v)\/v)\/v)**(-28\/9) assuming v is positive.\nAnswer: v**(32\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2156255760?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 2*n + 16. Let r be 2\/3 - n\/(-9). What is the third smallest value in -1, 1\/2, r?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11820147179 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 66 a factor of 29964?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*k - 39 - 206 = 0. Suppose -2*u - 5*h - 12 = u, -u = 5*h + 14. What is the remainder when (-42)\/(-30) - 14\/k is divided by u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:20 PM and 1:09 AM?\nAnswer: 589","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -650 divided by -130\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -3*b**4 - 12*b**2 + 3*b + 13. Let z(x) = -5*x**4 - 25*x**2 + 6*x + 25. Let h(i) = -7*l(i) + 3*z(i). Find the second derivative of h(y) wrt y.\nAnswer: 72*y**2 + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 395 a factor of 725615?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45998*n - 51 = 45997*n - o, 10*o = 4*n + 510 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*y - 27*y + 7850700000 = 0. What is y rounded to the nearest one million?\nAnswer: 119000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pybp when four letters picked without replacement from gbgyybpyybyp.\nAnswer: 1\/396","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 34361 is divided by 272?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 2*p**2. Let b(a) = 2*a - 16. Let h be b(8). Let y(z) be the first derivative of -1\/2*z**2 + h*z + 2. What is o(y(x))?\nAnswer: 2*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + (30 - 0) + -5 + 31?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = i**3 - 7*i**2 + 7*i. Let x be r(6). Suppose -3*s + 51 = -x. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b + 3*y - 108 = -27, -5*y + 98 = -9*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in seventy-one quarters of a second?\nAnswer: 17750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are -2\/363 and 1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 16*u - 305 - 79. Find the third derivative of -42*i**5 + 18*i**2 + 15*i**5 + 26*i**5 + u*i**5 wrt i.\nAnswer: 1380*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10046 (base 7) to base 16\nAnswer: -983","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m\/(m**(-2\/9)*m)*m)\/(m*m**(-2\/29))*m**1*m*m\/(m*m**7) assuming m is positive.\nAnswer: m**(-968\/261)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(20) - ((sqrt(720) - 2*sqrt(720)) + sqrt(720)))\/(6*sqrt(20)\/sqrt(2) - sqrt(10)).\nAnswer: sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) be the third derivative of v**5\/60 + v**4\/24 - v**3 + v**2. Let a(i) = i - 1. Let u(x) = 5*a(x) + j(x). What is the units digit of u(-9)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(24)\/((sqrt(96)*2 - sqrt(96))\/sqrt(8)).\nAnswer: sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -18*y + 60. Calculate the remainder when (-141)\/(-1*3) + 0 is divided by q(2).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 68290799 = -22*j - 218589201. Round j to the nearest one million.\nAnswer: -13000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that -3*f**2 - 3300966*f - 908031377763 = 0.\nAnswer: -550161","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/((-1488)\/(-54) + -28).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.123709 and -0.4?\nAnswer: 0.0494836","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 23212139 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 10446443710 plus 0.11?\nAnswer: 10446443710.11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 598 and 46?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = 4*z - 80 - 644, 0 = 2*z - 2*v - 358. Solve 192*l = z*l + 9 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = -2*h - 2*d + 4, 0 = -5*h + 4*d + 36. Suppose i - p + 39 = 0, 4*i + h*p = -i - 195. Let z = 91 + i. What is the tens digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.7*-13.72\nAnswer: 9.604","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*t**3\/5 - t**2\/5 - 4*t\/5 + 1\/5.\nAnswer: (t - 1)*(t + 1)*(4*t - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 950 divided by 1\nAnswer: 950","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6 + -15. Suppose 419*u - 408*u = -66. Calculate the least common multiple of 3 and (-57)\/d + u\/(-9).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10 + 1372\nAnswer: 1382","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = z**2 - 7*z - 7. What is p(7)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7056)\/1176*(-57)\/(-18).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0\/5 - -10 - ((-4)\/(-2) + -20).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 129286 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -a**2 + 4*a + 1. Let i be r(5). Let f be (-11)\/i*80\/5. Suppose 0 = -2*s + 52 + f. Calculate the highest common factor of s and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 7 = 10*p. Suppose k = u - 2, -7 = -3*u + 4*u + 2*k. Put p, 2\/3, u in descending order.\nAnswer: p, 2\/3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a kilometer in meters?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -47289178.1985 take away -15.4?\nAnswer: -47289162.7985","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 525 minutes before 12:18 AM?\nAnswer: 3:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 1, h: 3, e: 4}. What is prob of sequence rheh?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5 and 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 233572 is divided by 15?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 134*t = 135*t + 2 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 50662430243 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (744\/(-48) - -15)\/((-2)\/1092). Calculate the greatest common factor of 455 and k.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5268171189.3+3\nAnswer: -5268171186.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.7418 or -155?\nAnswer: 0.7418","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Solve i + 2*l - 6 = -9, 5*l + 8 = -3*i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -7*v**3 - 9*v**2 - 25*v + 11. Let n be g(-6). What is the highest common factor of 284 and n?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -s**2 - 57127*s + 857115. What is q(15)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 52120619 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 50723?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -1. Let n(u) = -u - 6. Let v(o) = -4*l(o) - n(o). Let j be v(-8). What is the derivative of -5 - 8*f**2 + 6*f**2 + 0*f**j + 2 wrt f?\nAnswer: -4*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 1252977 = -4*s, 3*i - 3*s - 297007 = 3461951. Let j(r) = 13122*r**2 - 4*r - 17. Let h be j(-7). Let t = i - h. Round t to the nearest 100000.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.417 - -0.117. Which is the closest to 0.1? (a) 1 (b) -2 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = 5*s - 61. Suppose 35 - s = 6*m. Solve 0*q + 2*l + 20 = 4*q, -m*q + 4*l + 20 = 0 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 65485.4 micrograms?\nAnswer: 65.4854","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 4340 * 65\nAnswer: 282100","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1.51 and 0.779.\nAnswer: 1.17629","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52*h + 105 = -103 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 136*v = 161*v + 16795000. Round v to the nearest 100000.\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, o: 1, n: 1}. What is prob of picking 1 n and 1 x?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that -2*x**2 + 30740*x - 118118450 = 0.\nAnswer: 7685","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/y**0*y*y)**(2\/9)*y**6*y*y**0)\/((y\/(((y*y**(-4))\/y)\/y*y))\/y**(-4))**(-33) assuming y is positive.\nAnswer: y**(914\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1110692 or -49?\nAnswer: -49","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 179\/88551918 and 145\/74928546.\nAnswer: 974071098","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 90183?\nAnswer: 3, 23, 1307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z**3 - 9*z**2 - 7*z + 13. Let h be l(9). Let f = -33 - h. Solve 8 + f = 5*u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the first derivative of f**4\/6 + 680*f**3\/9 + 9519*f**2 - 38988*f - 644. Factor s(p).\nAnswer: 2*(p - 2)*(p + 171)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1131447 to the power of 1\/2, to the nearest integer?\nAnswer: 1064","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eebb when four letters picked without replacement from {b: 6, e: 2}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -29 - -439\/15. Which is bigger: 1 or c?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 29*h**3*s + 50*h**2*s**2 - 17*h - 427*s**2 wrt h?\nAnswer: 174*h*s + 100*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = -2*d + 5*o, -2*d + o - 5 - 5 = 6*o for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4\/13*v**2 - 6\/13*v**3 + 0 + 0*v - 2\/13*v**4.\nAnswer: -2*v**2*(v + 1)*(v + 2)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1367*l**2 + l**3 - 1367*l**2 - 1829 + 0*l**3 + 2734*l**2.\nAnswer: l**3 - 1829","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-29)\/(-348) - (-28)\/(-48)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 25 divided by -893915\nAnswer: -5\/178783","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6, 15, 38, 81, 150, 251, 390, 573?\nAnswer: 806","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -9 + 19. Suppose 35 = -427*p + 432*p. Let r = g - p. What is the remainder when 7 is divided by r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 47132 to the power of 1\/3, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 31945345 and 301.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-300)\/90*(-104)\/195\nAnswer: 16\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) be the third derivative of a**4\/12 - a**3\/2 - 38*a**2. Determine g(-4).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 22138602 to the nearest integer?\nAnswer: 4705","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -u - 7. Suppose -34 = 5*i - 119. Suppose 2*p - 5 = i. Calculate the remainder when p is divided by g(-11).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25 is divided by 3\/(((-2)\/6)\/(-1)).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 17\/4 of a millimeter?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 493*s + 29. Let r be n(9). Suppose -r = -6*l - 5*l. Suppose -2*v + 3*q = 7*q - l, 4*q - 1039 = -5*v. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 90334 and 111476.\nAnswer: 5239372","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.1085 + 3.8915. Sort r, 5, 0.8, 0.15 in descending order.\nAnswer: 5, r, 0.8, 0.15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-c + 4 - 2 + 3*c)*(4 - 6 - 1 + (-4 + 0 + 2)*(-2 + 5 - 2) + 1 - 3 + 4 - 1 + 4 - 1 + 2 + 1 - 4).\nAnswer: -4*c - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*h - 33*h - 6*h + 28*h - 3*h.\nAnswer: -12*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 46.3*-26.58\nAnswer: -1230.654","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 440461 to the power of 1\/3, to the nearest integer?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -8*t**2 - 277*t + 492. Determine p(-36).\nAnswer: 96","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01613 rounded to three dps?\nAnswer: 0.016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 0+10499288505181\nAnswer: 10499288505181","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 101\/3500 and -67\/3500.\nAnswer: 3500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -4*k**2 + 7584*k + 3. Let t(v) = -13*v**2. Determine b(t(g)).\nAnswer: -676*g**4 - 98592*g**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 97 + 10*x + 0*x**2 - 8 + 31 - 2*x**2.\nAnswer: -2*x**2 + 10*x + 120","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q\/(q\/q**8))\/q**(-1\/4))\/(q**(2\/5))**(-6\/7))**(-17) assuming q is positive.\nAnswer: q**(-20451\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*q = 98*q + 486 for q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -p**2 + 29*p + 10. Let v be l(29). Suppose v*r = 25*r - 840. Is 8 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 210 = -5*s - s. What is the smallest value in -5, s, 6?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 534 = -3*b, -2*b + 346 = -27*x + 23*x. What is the highest common factor of b and 12?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13153358 is divided by 2630669?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 241*p - 1 = 242*p. Which is smaller: -2\/493 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -244*y**2 - 1210*y**2 + 288*y**2 + 274*y**2 - 2432*y**2 as j*y + h*y**2 + x and give h.\nAnswer: -3324","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-44)\/(-33))\/(10\/144)*(-68)\/1428*-70?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -25 + 1035?\nAnswer: 1010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -z**2 - 20*z + 61. Let n be r(-22). Let g be (-2)\/n + 801\/306. Suppose -3*v + 25 = 2*v. Which is the biggest value? (a) v (b) g (c) 3 (d) 6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*n**2 + n**2 + 0*n**2)*(9857 - 13317 - 2207 - 4357).\nAnswer: 30072*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((sqrt(72) + 3)*6 - sqrt(72)) + 4.\nAnswer: -150*sqrt(2) - 86","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -g - 14 + 148 - 49*g + 52*g. Let y(k) = -k**2. Give y(u(i)).\nAnswer: -4*i**2 - 536*i - 17956","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-8)\/(8\/33) + 4. Let f = q - -31. Suppose 5*u = -f*m + 110, 3*u - 3*m + 5*m = 62. What is the tens digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -11*s + 3. Let y(t) = -10*t + 3. Let h(v) = 5*j(v) - 4*y(v). List the prime factors of h(-10).\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.86255 to 1 decimal place.\nAnswer: -1.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 6*i. Let d(g) = -9*g**2 - 6*g. Let n(v) = 7*v**2 + 5*v. Let p(j) = 5*d(j) + 6*n(j). Give p(x(a)).\nAnswer: -108*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.25 - 0.05. What is the third biggest value in c, 13, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -2699, -5301, -7901, -10499, -13095, -15689, -18281?\n\"Answer: y**2 - 2605*y - 95","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3702297 - 2548850.\nAnswer: -6251147","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) be the third derivative of 43*f**6\/180 + 35*f**4\/12 - 167*f**3\/6 - 21*f**2 - 5*f. Let w(s) be the first derivative of u(s). Differentiate w(c) wrt c.\nAnswer: 172*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -25710, -25882, -26016, -26112, -26170, -26190, -26172?\nAnswer: -26116","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -108 * 381099\nAnswer: -41158692","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*x**3 - 38*x**2 + 38*x**2.\nAnswer: -16*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = y**2 - 3*y + 3. Let x(s) = -s + 1. Let c(q) = -q + 2. Let h be c(-6). Let d = h + -13. Let p = d + 3. What is p*n(k) + 6*x(k)?\nAnswer: -2*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 1934*l**3 - 39385*l - 21. Let w(v) = 387*v**3 - 7877*v - 4. Let g(s) = -4*b(s) + 21*w(s). What is the second derivative of g(y) wrt y?\nAnswer: 2346*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6736\/39 - -2254\/13. What is the nearest to -3\/11 in -4, -0.5, s?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 85 + -343\/4. Let r = -0.09 + -0.11. Sort r, t, 3\/7.\nAnswer: t, r, 3\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/(-2))\/(645\/(-1075)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + -1 - (-20 - -18).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x\/x**(-1\/7)*x)\/(x*x**(-1\/4)))\/((((x*x**(-1\/2))\/x)\/x)\/x)**(2\/25) assuming x is positive.\nAnswer: x**(363\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 0 + 2*j**2)*(3*j + 4 - 2 - 4*j + (5*j - 3*j + 3*j)*(3 - 4 + 2)) to the form n*j**3 + b*j**2 + p + d*j and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve f**4 - 2396*f**3 + 1435204*f**2 = 0 for f.\nAnswer: 0, 1198","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -15532575 divided by 3106515?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that -22*f**4\/5 - 436*f**3\/5 - 2406*f**2\/5 - 2936*f\/5 + 616\/5 = 0.\nAnswer: -11, -7, -2, 2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 3331 (base 6) to base 10\nAnswer: 775","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*q - q**2 - q + q - q**2 - 3*q**2 + 3*q**2 + (q - 4*q + q)*(1 + 2*q - 1) as d + r*q**2 + i*q and give i.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 39.97 + -43.97. Let c be 495\/210*(-2)\/(-3). Put -1, -5, c, t in descending order.\nAnswer: c, -1, t, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = 5*a - 4*a - 5*x, 0 = 5*a + 5*x - 190. Let c(t) be the first derivative of -7*t**2\/2 - 1. What is the remainder when a is divided by c(-3)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the third derivative of -j**4\/12 - j**3\/6 + 8*j**2 - 3*j. Suppose -4*x + 5 = -9*x + 4*v, -5*v + 10 = -5*x. Determine f(x).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (770*q + 3*q**2 - 770*q - 70*q**4)*(3*q + 0*q - q).\nAnswer: -140*q**5 + 6*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3580807 is divided by 201.\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 2, s: 3}. What is prob of picking 1 s and 1 b?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -1021100222 (base 3) in base 10?\nAnswer: -25055","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 3\/10 of a decade?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3698192928 to the nearest integer?\nAnswer: 60813","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*y - y = -27*y + 171 for y.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = t**3 - 4*t**2 + 4*t - 3. Does 5 divide r(4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.016 and 10.\nAnswer: -0.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 318 - 318. Let x = 52.6 - 53. Let d = 0 - -0.8. What is the nearest to d in -3, c, x?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 11095 and 0.4?\nAnswer: 4438","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -726*9.3477.\nAnswer: -6786.4302","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = l**2 - 2*l - 3. Let x be k(3). Let s be (66\/(-176))\/((-2)\/80). Solve -s = -3*r - x*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.12 - -3.88. What is the second smallest value in 2, -2\/9, p?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31043 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ljlq when four letters picked without replacement from {l: 6, q: 2, j: 2, o: 5, d: 1, i: 1}?\nAnswer: 1\/476","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 10310790 divided by -259\nAnswer: -39810","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2704 by 2704.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = 4*v. Suppose 0*d + i - 420 = -2*d, 4*d = -4*i + 844. Let j = d - 177. Solve -3*y = -8*y - 5*t + 10, 4*y - 4*t + j = v for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 2, g: 4}. What is prob of sequence ogg?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 156 - 424 = -5*u, 3*o - 233 = -4*u. What are the prime factors of u?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8 - 13. Let i = -389 + 367.6. Let a = -22.4 - i. Put a, l, 2 in descending order.\nAnswer: 2, a, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-13875 - 13495 + 1129 + 4969 - 6078)*(-2*n + 4*n - 5*n) to a*n + y and give a.\nAnswer: 82050","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -24\/7 in -3, -1\/2, -124\/175?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:44 PM and 7:33 AM?\nAnswer: 589","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-85)\/12 - (-38)\/456. What is the units digit of 0 - (-14 + -2)*(9 + z)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2 + 6. What is the third derivative of b**k + 3*b**2 + b - b wrt b?\nAnswer: 24*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4267 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2541.\nAnswer: 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3152072 is divided by 155?\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*c**3 - 147*c**2*d + 3*c - 57*d wrt c.\nAnswer: 12*c - 294*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 648 - 2*o - 221 - 221 - 214 + 2*o**2.\nAnswer: 2*o**2 - 2*o - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -54\/55 and -101\/22.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -385\/6 - -551\/3. Which is smaller: i or 121?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*q + 1395 - 1395.\nAnswer: 12*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-6)\/8*1 + (-195)\/(-4)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6156186 (base 10) to base 16.\nAnswer: 5def9a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.269185368 rounded to two decimal places?\nAnswer: 0.27","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, j: 7, w: 10}. Give prob of sequence wq.\nAnswer: 5\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 747580648 to the nearest integer?\nAnswer: 165","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1476780 divided by -604.\nAnswer: 2445","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/s**3)**(-5\/2))**(-20\/7)\/((s\/s**(1\/6))\/s**(-11))**(-29) assuming s is positive.\nAnswer: s**(13813\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 72 + -68. What is the third derivative of -f**k - 3*f**4 - 18*f**2 + 4*f**4 - 9*f**4 wrt f?\nAnswer: -216*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*q - 40 = 18*q. Let k(p) = 2*p**3 + 18*p**2 - 8*p + 8. Let n(x) = x**3 + 12*x**2 - 5*x + 5. Let s(m) = q*n(m) + 5*k(m). Find f, given that s(f) = 0.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43 = 12*m - 29 for m.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -251\/11 - -3547\/154. What is the fourth smallest value in 2\/7, -1\/2, a, -2\/9, -0.4?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the first derivative of 8\/9*q**3 - 4 - 4\/3*q**2 - 1\/6*q**4 + 0*q. Solve c(z) = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 505057635?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -28*o**3 - 6*o**2 - 22*o - 27. What is the units digit of q(-8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -3*k**2 + 5*k + 4. Let x(r) = -r**2. Let z(c) = -n(c) + 2*x(c). Let m = -24 + 21. Let q(i) = 2*i**2 + 5*i + 3. Let p be q(m). What is z(p)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*m**2 + m - 3*m**2 - 9*m**2 - 7*m**2.\nAnswer: -13*m**2 + m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o, 1 h, and 1 e when three letters picked without replacement from heoegoeeeoee.\nAnswer: 21\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (14\/(-21))\/(85\/46155). What is the third smallest value in -2\/11, 0, h, 3\/4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 23 (base 4) to base 8.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-2\/9))**(40\/3)\/(i**(-3))**20 assuming i is positive.\nAnswer: i**(1540\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 172.9974m in micrometers?\nAnswer: 172997400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 2, l: 7, m: 6}. Give prob of picking 2 e and 1 l.\nAnswer: 1\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -3954 (base 12) to base 10\nAnswer: -6544","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8 - 5. Let w(k) = 3 - y - 4*k**2. Let f(x) = 5*x + 3*x - 3*x - 4*x. What is f(w(n))?\nAnswer: -4*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 29*f + 46. Let m be b(-4). Let c = m - -74. Solve c = -n - n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 11*l + 4. Let t(b) = -10*b - 6. Let a(y) = -y - 1. Let s(u) = -5*a(u) + t(u). Let p(j) = -4*r(j) - 9*s(j). Let h be 1\/(-1) + 1*7. Calculate p(h).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mgymymemyg. Give prob of picking 1 e and 2 y.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*s**3 + 2840*s**2 + 25686*s + 51444.\nAnswer: -2*(s - 1429)*(s + 3)*(s + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 2, k: 18}. What is prob of picking 2 k?\nAnswer: 153\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = -79 + 41. What is the remainder when 51 is divided by a?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -k**3\/4 + 8158353*k**2\/4 - 81583455*k\/4 + 203958575\/4 = 0. What is k?\nAnswer: 5, 8158343","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1902072326?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 11717607*a**3 - 2*a**2 - 2189726*a wrt a?\nAnswer: 70305642","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3765 and 12299?\nAnswer: 184485","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -t**2 + 2. Let x(s) = 2*s**2 - 5. Let i(v) = 5*v**2 - 11. Let b(m) = -3*i(m) + 5*x(m). What is 4*b(j) - 18*p(j)?\nAnswer: -2*j**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -5*i + 6. Let c be 4\/(-1)*(-9)\/6. Let v be r(c). Let g = -14 - v. 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: Factor -j**5\/6 - 8*j**4\/3 - 32*j**3\/3 - 53*j**2\/3 - 79*j\/6 - 11\/3.\nAnswer: -(j + 1)**3*(j + 2)*(j + 11)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -346260 (base 7) to base 10.\nAnswer: -62223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 15\/2002 and 50\/2233.\nAnswer: 58058","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -c**3 - 3*c**2 - 8*c + 1. Let r(z) = -3*z**3 - 5*z**2 - 15*z + 3. Determine -5*m(x) + 2*r(x).\nAnswer: -x**3 + 5*x**2 + 10*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 387297 to the power of 1\/3, to the nearest integer?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:23 PM and 6:25 AM?\nAnswer: 482","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 112*w**2 - 118*w - 116. Calculate the smallest common multiple of 1 - -1 - (-18)\/1 and j(-1).\nAnswer: 1140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 1, -2\/3, -4403, -4 in ascending order.\nAnswer: -4403, -5, -4, -2\/3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2826 and 770556?\nAnswer: 942","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -19\/21 and 67\/27.\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -20 + 99. Suppose 122 + k = t. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12*j + 18*j + 28*j + 2*j**2 + 32*j to the form g*j + t + v*j**2 and give g.\nAnswer: 90","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(384) - (sqrt(384) + (1*sqrt(384) + sqrt(384) - sqrt(384) - sqrt(384) - sqrt(384))*2 + sqrt(384)))\/sqrt(8) + 5.\nAnswer: 5 + 4*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the first derivative of 11*n**3\/3 - 7*n**2\/2 - 7*n + 1. Let u(m) = 10*m**2 - 6*m - 6. Give -6*o(a) + 7*u(a).\nAnswer: 4*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 7*o**2 - o - 7. Let p(i) = 11*i**2 - 6*i - 7. Let l(v) = 11*v**2 - 5*v - 8. Let f(g) = 4*l(g) - 3*p(g). Let q(m) = -5*f(m) + 8*y(m). What is q(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(121)*4 - sqrt(121) - 1*(sqrt(121) + sqrt(121)*1))\/(sqrt(99) + sqrt(99)*1*-4 + sqrt(99) - ((sqrt(99) - (sqrt(99) + 1*sqrt(99)))*6 - sqrt(99))).\nAnswer: 7*sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1108*u - 5754 = -68910 for u.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k + 3*q = -61, -4*k - 151 = 267693*q - 267688*q for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -9? (a) 3 (b) -64 (c) 47 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 281509 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a and 1 g when three letters picked without replacement from agqealve.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 752 - 747.11. Let t = x - -0.11. What is the second smallest value in t, 2, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 870482.5 times 0.4\nAnswer: 348193","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-8))\/((-3)\/(-4))*-3\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r**3\/4 + 141767*r**2\/4 + r - 141767 = 0. What is r?\nAnswer: -2, 2, 141767","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -9690, -9823, -9966, -10125, -10306?\n\"Answer: -x**3 + x**2 - 129*x - 9561","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 1.334855 years?\nAnswer: 0.01334855","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 6, 2\/15, -5, -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 435*v - 158*v - 132*v + 7 - 147*v. Let f(y) = -1. Let h be 1 - (8 + -1 + 0). Give h*f(c) - d(c).\nAnswer: 2*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.28394 + -3.14754. Round d to two decimal places.\nAnswer: -2.86","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -26\/45 and -53\/51.\nAnswer: 765","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1\/4458 and -113\/10?\nAnswer: 22290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1300 + 3?\nAnswer: 1303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 6*m**3 - 2*m**2 + 30*m - 81. Determine k(4).\nAnswer: 391","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -585.000526 + 585. Round x to five dps.\nAnswer: -0.00053","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = y**2 + 7. Let o(k) = k**2 + 1. What is -2*o(n) + q(n)?\nAnswer: -n**2 + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) 2.8404 (b) 1\/5 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 27*o**2 - 23*o - 92. Does 16 divide w(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 259 to the power of 1\/3, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 259824*k**2 + 1138948*k**2 - 162256*k**2.\nAnswer: 1236516*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 65\/20511 and 41\/159.\nAnswer: 20511","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Are 37 and -7 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -116 + 169. Let r = t + -53.00000047. Round r to seven decimal places.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 2\/23 (b) -10.6 (c) 0 (d) 0.2 (e) -2\/3 (f) 9 (g) 6\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11 - 0 - (-287 + 263).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 36 = -a. Let d = a - -86. What are the prime factors of d?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 323968 to the power of 1\/5, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 134959 + -336363. Round p to the nearest 1000.\nAnswer: -201000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 994300?\nAnswer: 2, 5, 61, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*p + 8*p - 6 = 0. Let r(f) = -f**3 - 2*f**2 - 1. Give r(p).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31 = -4*r + 47. Suppose -3*b - 5*h + 41 = 0, -b + 5*b = r*h + 12. Solve -z - 5*p + b = 0, 5*p = 3*z - 5*z + 9 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = 5*m + 20, 3*w + 12 = -5*m - 8. Suppose 2*j - 3*j + 2 = w. Suppose -4*o = -j*o - 16. What is the remainder when o is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*b - 21 - 3. Let s(m) = b*m**2 - 2 + 12*m**3 - 5 - m - 13*m**3 - 4*m. Let a be s(7). Let n(d) = d**3 - 8*d**2 + 6*d - 2. What is n(a)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7 + -9. Let w(q) = 3*q - 2. Let d(j) = 13*j - 9. Calculate m*d(h) + 9*w(h).\nAnswer: h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-20*q - 6*q + 2*q)*(-1 + 1 + 1)*(q**2 + 3*q**2 - 6*q**2).\nAnswer: 48*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1.17 - -3356.17. Let c = 3354.9998393 - n. What is c rounded to 5 dps?\nAnswer: -0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 104803 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 249889, 13, 3\/8, 3\/2?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 5*f - 19. Suppose 2*s - f = 3. What is the remainder when 6 - (2 + -2 + 0) is divided by s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 213?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 87930?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 0.141 (b) -45 (c) 38\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 213529?\nAnswer: 67, 3187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 15, 4, -0.1, 2 in increasing order.\nAnswer: -0.1, 2, 4, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3847820 and 25010830.\nAnswer: 50021660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 24.7848201ms?\nAnswer: 0.00000028686134375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2033210 + 113221?\nAnswer: 2213031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 93*g**2 - 2*g + 5. What is the lowest common multiple of 80 and r(1)?\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the first derivative of y**4\/4 + y**3 - y**2\/2 + 4*y - 16. What is h(-3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = -2*j + 15. Suppose 2*v - j*k = 2, k + k = 2*v - 4. Solve 0 = -d - d + v for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*w + 6*w - 2*w**2 + (-2 - 1 + 4)*(2*w**2 - 3*w**2 + 0*w**2) + 1479 - 1479 - 125*w**2 as i + u*w**2 + t*w and give u.\nAnswer: -128","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.08 + 19.6935.\nAnswer: 19.6135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 4*a - 23540 = 3*w, -5*w = 2*a + 39240. Let i be w\/(-100) + (1*-1 - -3). Let u = -80 + i. Is u equal to 6\/17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t + 3*y = -45, 0 = 5*t + 147*y - 148*y + 81 for t.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 (base 13) in base 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29810 = -44*a + 34*a. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*o**5 - 3573*o**4 + 5769*o.\nAnswer: -40*o**3 - 42876*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 18*y**2. Let l(u) = 37*u - 15. Let v(w) = -16*w + 6. Let k(f) = 2*l(f) + 5*v(f). What is g(k(r))?\nAnswer: 648*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8879 - 8945 = 11*f for f.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2415 and 3253068.\nAnswer: 374102820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the third derivative of -3*n**8\/49 + 136*n**7\/245 - 37*n**6\/210 - 26*n**5\/7 - 41*n**4\/14 - 20*n**3\/21 - 243*n**2. Find g, given that w(g) = 0.\nAnswer: -1, -1\/6, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 73\/56 and -23\/11800.\nAnswer: 82600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 247*y - 17. Let l(x) be the third derivative of 31*x**4\/3 - 7*x**3\/3 + 63*x**2. Let q(h) = -4*l(h) + 3*m(h). What is the derivative of q(p) wrt p?\nAnswer: -251","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 3) to base 10.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8538*c - 45795 = 1961*c - 1998*c - 2920 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 111 = 7*s + 34. Let i = 30 + -20. Let a = -7 + i. Put a, -2, s in descending order.\nAnswer: s, a, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (692 + 1269 - 3194 + 480)*(0 + 0 + z).\nAnswer: -753*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -5.704712 - 0.067404\nAnswer: -5.772116","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-52*a + 22*a - 67*a)*(-9*a + 2*a + a) + (-6 + 3 - 3)*(a**2 + 0 + 0) to s*a + p + z*a**2 and give z.\nAnswer: 576","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand -f**3 + f**3 + f**5 + (-3*f**4 + f**4 + 4*f**4)*(-2*f + f + 3*f) + f**5 - f**2 + f**2 + 6 - 2*f**5 - 47*f**4 + 29*f**4 - 7.\nAnswer: 4*f**5 - 18*f**4 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 5*l + l**3 - 4 - 3 + 8 - 5*l**2. Let c be v(4). Solve 0*a - c*a - 10 = 0 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vxvdxvxdvtvfxxx. Give prob of picking 1 t, 1 f, and 2 x.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = 15, 4*m + 0*m - 23 = -t. Solve -t*i + 2*i = 0 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1222, -1225, -1228, -1231, -1234?\nAnswer: -1237","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 596 minutes after 8:53 PM?\nAnswer: 6:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-1\/2))**7\/(z\/(z\/(z**(1\/7)\/z))*z**(-20)) assuming z is positive.\nAnswer: z**(243\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 5290?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3216 is divided by 192.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -r**3 + r**2 + r. Let x(y) = -y**3 - y**2. Let m(n) = -4*n**3 + 3*n**2 + 5*n. Let p(v) = m(v) - 2*x(v). Determine p(d) - 5*s(d).\nAnswer: 3*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 495 = -15059*a + 15044*a for a.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -88 divided by 4\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 2*h**2 + 4*h + 1. Let v(o) = o**3 - 17*o**2 + 2*o - 13. Let y be v(17). Suppose -4*l - 2*w = 8, 6*w - y = 5*l + 3*w. Determine i(l).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in -22.1, -1, -50.8, 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6 + 8. Suppose 22 = 5*t + 4*f - l*f, 2*t - 13 = -5*f. Which is the nearest to 3? (a) t (b) 2\/7 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, q: 1, z: 1, d: 1, t: 1}. What is prob of picking 1 q and 1 z?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 496 - 344. Differentiate 10 + 4 - 18*a**4 + x*a**4 with respect to a.\nAnswer: 536*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12250 + 8178 - 73809 - 4279 = 2054*w for w.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = b**2 + 9*b - 82. Let v be g(-16). Solve -35 + 10 = -5*h, t + 5*h = v for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -1220, -4880, -10980, -19520, -30500?\n\"Answer: -1220*f**2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -4 + 0 + 5. Let q(w) = -2*w**2 - 7. Let s(c) = -16*c + 814. Let m be s(51). What is m*q(g) - 14*f(g)?\nAnswer: 4*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3f0f - -6?\nAnswer: -3f09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(396)*-2)**2 - (-2 + sqrt(44))**2.\nAnswer: 8*sqrt(11) + 1536","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 0 + 21110?\nAnswer: 21110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 6\/2 + -2 + 1. Solve -2*a = -0*a + n for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 3*u - u - 4 = 0, 3*u = -3. What is the closest to b in 105, -4, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 10\/(7\/((-21)\/(-6))). Suppose -5*x + 16 = 2*m - 36, -m + 51 = k*x. Let r be (24\/9)\/(x\/6). Is r < 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 327 is divided by 66.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -3*g**2 + 3831*g + 30849. Calculate l(-8).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i, 1 n, and 1 b when three letters picked without replacement from {i: 4, b: 2, n: 5}?\nAnswer: 8\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -10828 to the nearest one thousand.\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*v - 2*n + 2, 5*v = 2*n + 3 + 7 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 36 - 33. Which is greater: x or -0.3?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 14958 and 256779?\nAnswer: 1540674","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:07 PM and 8:34 PM?\nAnswer: 387","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/8499765 or 1?\nAnswer: 2\/8499765","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 5*p**2 - 1033*p + 11070. What is w(11)?\nAnswer: 312","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 180 and 1788?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 297185 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o when two letters picked without replacement from {o: 3}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7013, 13922, 20831, 27740, 34649?\nAnswer: 41558","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.2, 262, 3, 0.3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 4*q**2 - 10*q + 6. Let j be v(2). Suppose -301*d**2 + 64 + 76*d**4 - 96*d - 12*d**5 + 17*d**j + 32*d**3 - 68*d**3 = 0. Calculate d.\nAnswer: -1, 1\/3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 22220, 44501, 66848, 89261, 111740?\nAnswer: 134285","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 62 - 104. Let p = 41.999946 + v. What is p rounded to 5 decimal places?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -3523, -14274, -32199, -57298, -89571, -129018?\n\"Answer: -3587*z**2 + 10*z + 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q - 2*q - 2*v = -4, -4*v + 4 = 3*q. Suppose -q*j = -0*j + 3*o, 4*j + 5*o = -8. Suppose 9 = j*u, -2*y - u + 12 = 1. Is y a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1916351 - -1916444.0039. Let z = g - 93. Round z to 3 decimal places.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -5*l**3 + 22*l**2 - 17*l + 3. Let k(x) = -2*x**3 + 8*x**2 - 6*x + 1. Let u(y) = -11*k(y) + 4*q(y). Give u(-2).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 224?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b - 10 = 4*w, 5*b = -2*w - 0*w - 18 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -20 - -20?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.9227641 hours to nanoseconds.\nAnswer: 3321950760000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8644772 by 68.\nAnswer: -127129","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8159 + -8152.062. What is f rounded to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 8, d: 4, f: 4}. What is prob of picking 3 d?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9 (base 15) to base 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 434 and 296744?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-1))**(-4\/3)*p**12*p*p*p*p**8 assuming p is positive.\nAnswer: p**(73\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + 0 + sqrt(1377))**2 + 1.\nAnswer: 1378","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2812646023.\nAnswer: 11, 14173, 18041","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (o + o - 3*o)*((-1 + 6 - 3)*(-5 + 0 + 3) - 60 - 31 + 157)*(-11*o**3 + 10*o**4 + 11*o**3).\nAnswer: -620*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 2\/11, 1, -1, -0.5, -1.041, 29.6?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.49 - 27.49. Let g = 12 + z. Let f = -16.44 - g. What is f rounded to one decimal place?\nAnswer: -1.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vifvfevvfv. Give prob of sequence viv.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that -2*s**4 - 2*s**3 + 40*s**2 = 0.\nAnswer: -5, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(-5\/6)*n*n**(1\/11)*n**(-17)\/(n**(1\/23)*n) assuming n is positive.\nAnswer: n**(-26999\/1518)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -11751 (b) 86 (c) -0.35\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -249 + 1028 + d**3 - 4*d**3 in the form q*d**3 + u + i*d + w*d**2 and give q.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -7*k - 5. Let q(r) = -8*r - 6. Suppose -u + 30 = -6*u. Let d(j) = u*n(j) + 5*q(j). Let a(i) = -4 + 4 + 2*i**2. Calculate d(a(c)).\nAnswer: 4*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 11155?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000006287 to seven decimal places.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -26 + 47. Suppose -a*n + 18227 = -10*n. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 9\/1*(16 + -15). Solve -5*x + 3*b = -q, 14*b - 3 = -x + 15*b for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + l = 5, 0*l = -a - 2*l - 2. Let r be 3\/(2 + 1)*0\/a. Solve s - n = r, 0 = s + 4*s - 2*n + 12 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-4)\/14)\/((-9)\/63). Solve -4 = -a*r - 0 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 4, e: 1, f: 6, w: 2, k: 2}. What is prob of picking 1 u and 1 f?\nAnswer: 8\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the first derivative of a**4\/20 + 19*a**3\/15 + 7*a**2\/2 + 17*a\/5 - 2. Solve d(z) = 0 for z.\nAnswer: -17, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n**3 - 5*n**2 + 6. Let d = -3 + 3. Suppose -g + d = -5. Suppose 0 = 3*u - g - 10. What is j(u)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -199 - 14938733.\nAnswer: -14938932","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/((p*p\/p**(-1))\/p))\/(p\/(p\/(p\/(p*p**6)))*p*p))**(-28)\/((p**(-2\/3))**(-2\/9)*(p*p\/(p\/(p*p\/(p\/((p*p**(-1)\/p)\/p)))))**48) assuming p is positive.\nAnswer: p**(-2272\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1525061 - -0.6472055.\nAnswer: -1525060.3527945","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -68, -262, -520, -788, -1012?\nAnswer: -1138","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 2*f = -4*i + 6, 3*i - 13 = -5*f. Let z(n) = -n**2 - 4*n + 4. What is z(i)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -19*h**3 + 4*h + 2. Let t be w(-2). Let s(m) = -m**3 + m**2 - 4*m + 4. Let b be s(4). Let u = b + t. Calculate the remainder when u is divided by 29.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1495\/10 + 9\/2 and 154?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*w**2 + 200*w - 900.\nAnswer: -4*(w - 45)*(w - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:02 AM and 6:15 AM?\nAnswer: 253","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5 - -9. Suppose -4*l + 4*c = -804, -c = z*l + l - 1017. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1281 and 124674.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2, 0.02, 292, 2\/7, 148?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/(0 - 4\/(-6)). Let b(w) = -6*w**2 - 2*w + 4. Let q be 4\/3 + 12\/(-162)*-9. Let n(h) = h + 111 - 114 + 2*h**2 + 3*h**q. Calculate r*b(s) - 4*n(s).\nAnswer: -2*s**2 + 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 222, 473, 724?\n\"Answer: 251*d - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -36*f + 103*f - 40*f - 108 wrt f?\nAnswer: 27","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that -12\/13*y + 22\/13*y**2 + 0 = 0.\nAnswer: 0, 6\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 40 - 66. Let b = 15 + g. Calculate the remainder when 11 is divided by -9*(b\/3 - -3).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 4*t = -2*d + 32, -5*t + 90 = -2*d. Let n be d\/42 + 2\/3. Let z = 241.6 - 241.11. Which is the closest to n? (a) z (b) 1\/4 (c) 2\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g**2 + 2*g. Suppose -u = 3*u + 12. Let k be l(u). Solve k - 6 = b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -381, -1, -29, 1 in decreasing order.\nAnswer: 1, -1, -29, -381","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7 + -2. Suppose 0*w = -5*w + 15, -p*n + 85 = -5*w. List the prime factors of n.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 564 minutes after 2:00 PM?\nAnswer: 11:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (21*x - 14*x - 38 - 9*x)*(-1129 + 1129 + 39*x + 4 - 2*x - 4 + (-x - x + 0*x)*(-1 + 4 - 1) + 1 - 1 - 2*x) to the form t + v*x**2 + z*x and give v.\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5838?\nAnswer: 2, 3, 7, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 15 - 3. Suppose 0 = 2*j - 3*j + p. Calculate the remainder when 26 - (-7 - (-40)\/4) is divided by j.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.0364 + 0.0364. Which is the closest to m? (a) 1\/2 (b) 1 (c) -5 (d) -9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(2\/3)*y**(-3)*y**(1\/9)\/(y*y**(-2\/13))*((y**2)**(-2\/17))**(-20) assuming y is positive.\nAnswer: y**(3257\/1989)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -y. Let q = 43 - 41. Let b(w) = -16*w + 33*w - 22*w - q. Give b(a(h)).\nAnswer: 5*h - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 1190, 1175, 1160?\n\"Answer: -15*d + 1205","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1561, 423, 3707, 8291, 14175, 21359?\nAnswer: 29843","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000050835 rounded to seven decimal places?\nAnswer: -0.0000508","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = -5*n + 10, -2*n + 4*r + 3 + 5 = 0. Suppose n = -2*b, -k - 3 + 5 = -b. Solve s - 5 = k*s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 444, 1757, 3956, 7047, 11036, 15929?\nAnswer: 21732","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - 1 - m**2 + 2*m**2 + 0 + 0 + (0 + m + 0)*(2 + m - 2) + 104*m**2 + 84*m**2 + 104*m**2.\nAnswer: 294*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-a - 2*a + 10*a)*(177 - 19*a**3 - 177).\nAnswer: -133*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (90\/36)\/(5\/10)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2 - -4. Let o = -2.81 + 1.81. Let k be 12\/14*35\/20. What is the closest to l in k, -0.1, o?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -245 - -248. Let d be -1 - 1\/(-1*1\/c). Solve -d = -l, -2*h + 0 = -l - 8 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (u**2 - 3*u**2 + 2 + 0)*(3*u**2 + 12*u**2 - 8*u**2)*(-5 + 3 + 3).\nAnswer: -14*u**4 + 14*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 5*t + 13499 = 0, -6*m = -11*m + 3*t + 22453. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7315281.8 rounded to the nearest 100000?\nAnswer: 7300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 - (17 + -12) - -15 - 4.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -101 + 122202021022?\nAnswer: 122202020221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -258.15+-3\nAnswer: -261.15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xrxx when four letters picked without replacement from xxrxrggrxrgxgrxrrgx.\nAnswer: 245\/15504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 786357140?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2051*f**4 + 5796*f**4 - 2067*f**4 - 267*f - 1925*f**4 - f**5 wrt f?\nAnswer: -20*f**3 - 2964*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - (-1 + 3 - (-3 + -2)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4 - 4 + 5*z**2 + (2*z + 3*z - 3*z)*(3*z + 2*z - 3*z) - 5*z**2 - 21*z + 21*z.\nAnswer: 4*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 22902\/7 - 3272. Which is smaller: t or -547?\nAnswer: -547","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + k = -16. Let x = k + 4. What is the third derivative of -3*j**2 + 4*j**2 + x*j**4 + j**4 wrt j?\nAnswer: 24*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 252 a factor of 4284?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 154173 is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = d**2 + 5*d. Let m be o(-4). Let z = 9 + m. Let x = 2.14 - 2.24. What is the nearest to x in 3, z, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 73637 is divided by 526?\nAnswer: 523","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-6)\/u**(-4\/9))\/(u*u**0)**(-27) assuming u is positive.\nAnswer: u**(193\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -106 - -103. Let v be (-1 - (r + 0)) + -2 + 2. Let -5 - 2*t**v - 10*t**2 - 9 + 28*t + 6 = 0. Calculate t.\nAnswer: 1\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*v - 5*v - w + 376, 4*v - 512 = -4*w. What is the least common multiple of 45*(0 - 4\/(-10)) and v?\nAnswer: 1116","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 r when four letters picked without replacement from {r: 9, u: 5}.\nAnswer: 18\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -396868090.53 - 7272?\nAnswer: -396875362.53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o = -4*o + 864. What is the greatest common factor of o and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -92977706*m**3 - 320849811*m.\nAnswer: -557866236*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 90, 13, -15, 3, 0 in ascending order.\nAnswer: -15, -1, 0, 3, 13, 90","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is nineteen quarters of a hour in minutes?\nAnswer: 285","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve a = 75 - 69 for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 7263.712 millilitres?\nAnswer: 7.263712","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 1 - 1)*(746 + 187 + 133)*(0*i**4 - 4*i**4 + 3*i**4) in the form r*i**4 + m*i**3 + y*i**2 + b*i + f and give r.\nAnswer: -1066","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45*m = 38*m - 2100. Calculate the common denominator of -26\/15 and (4 - m\/(-27)) + 0.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9613.428 millimeters to centimeters.\nAnswer: 961.3428","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -a**2*r + 2*a**2 - 12539*a*r + a - 2*r + 468 wrt r?\nAnswer: -a**2 - 12539*a - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 38228?\nAnswer: 2, 19, 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 12 + 3 + -23 + (-1 - 0)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -337 - 27*h + 334 + h - 3*h. Let i(d) = d**2 - 6*d + 6. Let z be i(4). What are the prime factors of q(z)?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, 27, -0.9, 2\/27 in decreasing order.\nAnswer: 27, 2\/27, -0.1, -0.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 21780057?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -717*f + 2. Let x(y) = -2151*y + 5. Calculate 8*s(j) - 3*x(j).\nAnswer: 717*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -861900 by 51.\nAnswer: -16900","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**2)**(-3\/8)*n*n**(-2\/9)*n**4*n)\/(((n**8*n)\/n)\/(n**(-1)*n)*n**4*n**(-8)) assuming n is positive.\nAnswer: n**(37\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/(1\/1) + -8. What is the closest to 0.1 in s, 3, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*t**4 + 4*t**5 - 5*t**4 + 3*t**4 - 3*t**4 - 2*t**5 + (2*t**2 + 2*t**3 - 2*t**2)*(5*t**2 - 2*t**2 - 4*t**2) - 12*t**5 + 0*t**5 + 2*t**5.\nAnswer: -10*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1389 - -1469. Is k less than or equal to 79?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -o**3 + 2*o**2 + o - 1. Let q be r(2). Let h be (-62)\/4 + q + 16\/(-32). What is the common denominator of -1*2\/5 + (-166)\/h and -79\/21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 66 a factor of 307?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -10*m*q*v**3 + 16*m*q*v**2 + 1135*m*q*v + m*q + 157*m*v**3 - 37*q*v**3 + 2*q*v**2 + v**3 - v**2 - 2 wrt v.\nAnswer: -60*m*q + 942*m - 222*q + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the third derivative of -4\/1155*t**7 + 319*t**2 + 1\/660*t**6 + 0 + 2\/165*t**5 + 0*t**3 + 0*t - 1\/132*t**4. Suppose d(z) = 0. Calculate z.\nAnswer: -1, 0, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13688\/37642*165\/52.\nAnswer: 15\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*r + 5*d - 10, -r - 4 = -4*d + 8*d. Solve r*i = 5*i + i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1116431 + 1116431 + u - 30*u**2 + 4709*u**4 wrt u?\nAnswer: 113016*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 9 = 7. Let o = 8 - 1. Let m(t) = -3*t**2 + 12*t**2 + 8*t + t - 2*t. Let s(c) = 5*c**2 + 4*c. What is a*m(y) + o*s(y)?\nAnswer: -y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yatyttyytyyttt. What is prob of picking 1 a, 2 y, and 1 t?\nAnswer: 15\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 371 is divided by 31.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that 2*a**3\/7 - 9608*a**2\/7 + 11539208*a\/7 = 0.\nAnswer: 0, 2402","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*u**3 + 2*u**3 + 2*u**3 + (0 - 2 + 3)*(-3*u + 3*u - 8*u**3) - u**3 + 0*u**3 + 3*u**3.\nAnswer: -4*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - (7 - (5 + 5)) - 14.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (0 - 0 - -1)\/(57\/912). Solve -k*i + 19*i - 6 = 0 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-90)\/(-27)*(665\/(-75) + 9). What is the nearest to 0.3 in 2\/13, f, -0.1?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3856 + -3\nAnswer: 3853","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -237*p + 922. Determine g(5).\nAnswer: -263","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-48)\/(-176)*((-12)\/4)\/(-3)\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -187 - -190. Let d be (2 + l)\/((-2)\/(-54)) + -3. What is the highest common factor of 198 and d?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**1*l\/l**(5\/6) assuming l is positive.\nAnswer: l**(7\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in -166, 0, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (29 - 13 + 18)*(-m - 3 + 2 + 4*m) in the form h*m + f and give h.\nAnswer: 102","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u = 4*p + 37 - 41, 9 = 4*p - 5*u for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -3*i**2 - 492*i - 7842. Determine y(-146).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 51015073 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-6)\/(-4) - 123000015\/10. What is m rounded to the nearest 1000000?\nAnswer: -12000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41724572 divided by -452?\nAnswer: -92311","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*v**3\/4 + 9*v**2\/2 + 6*v.\nAnswer: 3*v*(v + 2)*(v + 4)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-54 + -28 - -16)*(-3)\/(-9).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -2*l**3 + 42*l**2 + 34*l - 124. Calculate i(22).\nAnswer: -344","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2960894?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-165)\/110)\/(9\/(-30)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:24 AM and 1:05 PM?\nAnswer: 401","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*u = -20*u + 3*x + 9, 0 = -3*u - 3*x - 12. Put u, -183, -7 in decreasing order.\nAnswer: u, -7, -183","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1248976 a multiple of 138?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 55*n**3 - 7*n**2 - 3227*n + 11040. Let o(b) = -16*b**3 + 2*b**2 + 1075*b - 3680. Let z(x) = -2*i(x) - 7*o(x). Differentiate z(r) wrt r.\nAnswer: 6*r**2 - 1071","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6 and 38042.\nAnswer: 114126","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -200598 at least 1746?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 100*(1 + 25\/20). What is the hundreds digit of (-44)\/66*j*-3?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00025344256 to 7 dps.\nAnswer: 0.0002534","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-b + 3*b - 4*b)*(3*b**2 - 4*b**2 - 5*b**2)*(-b + 0*b + 3*b)*(b - 9*b + b).\nAnswer: -168*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -38, -0.68, -0.1, -4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.06 + 0.36. Let f = -689\/2788 - 2\/697. Let x = -1 - 2. What is the closest to f in 4, l, x?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 45 = -4*r. What is the remainder when 16 is divided by r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3*(10 - (-1 + 14))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = -3 - 3. Suppose -5*p + 4*p = -g. Suppose 2 = -y - p*s + s, s = -2*y. What is the units digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = -24*x + 22*x - 12, 2*s = -3*x + 1. Put s, -4, -103, 0, 3 in decreasing order.\nAnswer: 3, s, 0, -4, -103","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1098 - 1094. Solve -a - 4*a + 23 = -3*g, -u*a + 18 = -2*g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that 5*x**4 + 423070*x**3 + 8950257340*x**2 + 35795529650*x + 26845695375 = 0.\nAnswer: -42305, -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-952)\/(-70) + 2\/5. Suppose 5*y = -b + 8, 5*y - 2*b - q = -0. Suppose -u = y*u. Which is smaller: -1\/6 or u?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 95021 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = w**3 - 12*w**2 - 14*w - 15. What is h(13)?\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -27 - -29. Factor 12 - 25 + 11 + v*l**2.\nAnswer: 2*(l - 1)*(l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 85*w - 29*w - 149632. List the prime factors of w.\nAnswer: 2, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -p - 4. What is n(-9)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*k**4 + 11*k**4 - k**4 + (-2*k**2 - k**2 + k**2)*(-173 - 30*k**2 + 173).\nAnswer: 75*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2 + 1.8. Let k = -126 - -125. Let m be (6\/147)\/(3\/(-21)). Which is the nearest to k? (a) n (b) m (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - 3*k**2 + 3*k**2 - 12*k**3 + 13*k**3 + 9*k to the form l + r*k**2 + w*k + g*k**3 and give w.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1 - 191)*210\/75. Is 9 a factor of (114\/7)\/((-152)\/g)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -2*c**2 + 9*c - 15. Let j be x(3). Let a be (-3 - j)\/(-3) - (-6)\/(-3). What is the remainder when 10 + 15 + a + 1 is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 14 + -10. Suppose -25*i + 453 + 122 = 0. Solve 0 = -v*y - 7 + i for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 13367455 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9737784 divided by 36.\nAnswer: 270494","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000858950493 to six dps.\nAnswer: -0.000086","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1872 divided by 156.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -147*-7604.\nAnswer: 1117788","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -224 or -219?\nAnswer: -219","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 108*t**2 - 9*t + 38*t**2 - 34*t + 37 + 43*t.\nAnswer: 146*t**2 + 37","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 4*r + 74. Let i be q(-18). What is the common denominator of 121\/36 and i\/6 - (-350)\/45?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 210623 (base 7) in base 8?\nAnswer: 106746","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -38*o - 8203 + 8203. Let h(y) = -y. Let f(z) = z. Let g(u) = 5*f(u) + h(u). Give g(n(t)).\nAnswer: -152*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12221 + 221?\nAnswer: 20212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 not equal to 121\/7780?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 103 - 57. Let x = 149 - l. What is the units digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10 + -22101?\nAnswer: -22111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 964492 to the power of 1\/2, to the nearest integer?\nAnswer: 982","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -24, -55, -144, -321, -616, -1059, -1680, -2509?\n\"Answer: -5*t**3 + t**2 + t - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -100 + -1?\nAnswer: -101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 22858 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i*i*i**(-4)*i)*i*i*i**0*(i\/i**(1\/9))\/(i\/(i*i**0*i)))**(-14) assuming i is positive.\nAnswer: i**(-742\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 0*d + 80 = 0. What is the tens digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 20516372 to the nearest integer?\nAnswer: 4530","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 75996.5 tonnes?\nAnswer: 75996500000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 18216.08 hours in seconds?\nAnswer: 65577888","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -73*l - 692 = -248*l - 167 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 3*k - 5186 = 3127, 0 = f - k - 1661. Is 32 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*w**2 - w**2 - w**2)*(0*w - 6*w + w)*(-3 + 0 - 2)*(4 - 2 + w - 1).\nAnswer: 25*w**4 + 25*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 239257 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1253?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o - 1. Let p(r) = -r + 2. Let h = 30 - 21. Let w be h*(-2 + 7\/3). Let n(d) = w*a(d) + p(d). Find the first derivative of n(c) wrt c.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-26)\/(-4)*(1 + 1). Let t be s\/5 + 4\/10. Suppose 5*k - 2*b = 11, 0 = 3*b + 3 - 9. Is k less than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 617203493 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hhphphph. What is prob of sequence hhhp?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 639?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = -2*w - 4, w = -5*b - 2*w - 6. Let k be b\/(1 - 0\/4). Factor k + 1\/2*u - 1\/4*u**2.\nAnswer: -u*(u - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4145?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1400 is divided by 9.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 9 = 0, 4*y = -5*v + 5*y - 12. Let f = 1 + -1. Suppose f = -0*l - 3*l + 15. Put l, v, 2 in descending order.\nAnswer: l, 2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -n**3 - 2*n**2 - 2*n - 3. Let s(d) = -3*d**2 - 6*d - d**2 - 8 + 5*d**2 + 11*d. Let k be s(-6). Give w(k).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 - (-1 - -2) - (-245 + 263).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 + 0 + 33\/11)\/(4 - 6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -p**3 - 12*p**2 + 282*p + 3243. What is o(-11)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-2)\/2)\/(-1)*0. Let n = -6 + 6.3. Let j = -4\/95 - 34\/95. What is the nearest to i in j, n, -4?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -801*n*t**2*y**3 + 84*n*t**2*y**2 - 3*t**2 + 2*y**4 wrt y?\nAnswer: -4806*n*t**2 + 48*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -3*k. Let y(m) = 11*m**2 - 12*m + 1. Let s be (-6 - -9) + 0 + 1. Let n(l) = -10*l**2 + 9*l. Let d(i) = s*n(i) + 3*y(i). Calculate d(x(u)).\nAnswer: -63*u**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-1\/16)\/((p\/(p\/p**(-5)))\/p)*(p*p\/(p\/(p\/(p\/(((p*p\/(p**0\/p*p)*p)\/p)\/p)*p))*p))**(-20) assuming p is positive.\nAnswer: p**(95\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/7 - 20246\/8533 - -2.\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - i = 4956, -4*p + 2762 = 2*i - 7166. Suppose -p = -15*o + 9190. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 627056525 - 0.3056\nAnswer: 627056524.6944","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(2\/3)*m**7*m assuming m is positive.\nAnswer: m**(26\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -2284, -2286, -2288?\n\"Answer: -2*z - 2282","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-42 - -13 - -41) + (0 - -1) + 31 + 3?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) be the second derivative of -z**5\/20 + 3*z**4\/2 - 10*z**3 + 28*z**2 + 4*z + 2. Determine o so that s(o) = 0.\nAnswer: 2, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 13*v**2 + 3*v - 329. Let r(j) = 7*j**2 + 2*j - 163. What is -7*r(g) + 4*x(g)?\nAnswer: 3*g**2 - 2*g - 175","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 6, a: 1, r: 5, i: 4, n: 1, c: 3}. What is prob of sequence nc?\nAnswer: 3\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (26*m**2 + 2 - 9*m**2 - 13*m**2)*(m + 4*m**2 + 0*m**2 - 2*m**2 + 1) to x + u*m + h*m**4 + s*m**3 + w*m**2 and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -27*a + 160. Suppose a*w - 747 - 1503 = 0. What is the units digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (3 - 2)*((0 - -2) + -1). Let o(f) = -4 + 0 + f**2 + 6*f + q. Give o(-3).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - 10 - -10 - -7?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -5*r**3 + 6*r**2 - 5*r - 2. Let i(l) = 14*l**3 - 17*l**2 + 14*l + 6. Let a(f) = -11*c(f) - 4*i(f). What is a(2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + -2 + ((-4 + sqrt(125) - sqrt(125))*-2 + sqrt(125) + (sqrt(125) + (sqrt(125) - (sqrt(125) + 2)) + -1 - sqrt(125)))*-6)**2.\nAnswer: 2040*sqrt(5) + 5656","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*y - 133*y = 75*y - 3536 for y.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -777*u - 566. What is m(-1)?\nAnswer: 211","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 126182?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/(-9))\/((-4)\/(-140)*(-55)\/33).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -969\/102820 <= -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in 2\/5, 2\/19, 3, -1\/4, -26?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*s**2 - 3*s**2 + 7*s**2)*(-7*s - 4*s - 14*s) to v*s**3 + z*s**2 + y*s + j and give v.\nAnswer: -175","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -11 + (14 - (-9 - -7)). Solve 15 = -j*o - 5, 0 = -v - 2*o - 12 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3235*i**2 + 3235*i**2 - i**3.\nAnswer: -i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Product of 439 and 1051.\nAnswer: 461389","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the second derivative of -15*c + 0*c**2 - 3\/4*c**5 + 5\/6*c**4 + 0*c**3 + 0. What is the third derivative of n(t) wrt t?\nAnswer: -90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 34 - 346 = 0. Suppose h = -j + 311. Is 47 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c**(-6)*c)\/c*c*c*c*c\/(c\/(c\/(c**0*c)))*(c**(5\/4))**(-2\/9) assuming c is positive.\nAnswer: c**(-41\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 83662 a multiple of 59?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is ((110\/12)\/(-11))\/((-7)\/(-14))?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 81*i**2 - 137*i**2 + 25*i**2 + 26*i**2.\nAnswer: -5*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) be the first derivative of 30*p**2 - 37*p + 37. What are the prime factors of n(3)?\nAnswer: 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -529149*y + 1058323*y - 529150*y - 32*y**2.\nAnswer: -32*y**2 + 24*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 77, 49, 11, -43, -119, -223, -361?\nAnswer: -539","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -298? (a) 2\/15 (b) -1\/6 (c) 3\/4 (d) -2\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((0 - 0) + 2\/8)\/((-7181867)\/(-274904))?\nAnswer: 2\/209","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -122325 divided by 24465\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d and 2 t when four letters picked without replacement from {t: 4, y: 1, d: 2, k: 2}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 20650 and 112.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.13172786088 - -24.2.\nAnswer: 24.33172786088","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -10566145 + 41036791. Let b = m - 30470647.7999983. Let v = b + 1.8. Round v to 6 dps.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 4)*(0 + 0 - x)*(21 - 7 + 5)*(-3 + 1 + 0)*(0 + 0 - x).\nAnswer: -152*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*r - 99*r + 9583331 + 44990324 = 0. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2940 - 1859?\nAnswer: 1081","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 3697013, 3697038, 3697063?\n\"Answer: 25*k + 3696988","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (n - 2*n + 3*n)*(0*n**2 + 2*n**2 - n**2) - n + 278*n**2 + n**3 + 326*n**2 - 493*n**2 in the form f*n + x*n**2 + q + u*n**3 and give u.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 8*h. Let t(p) = -26*p + 9*p + 21*p. Let b(r) = -2*k(r) + 5*t(r). Let f(o) = -10*o**2. Determine b(f(y)).\nAnswer: -40*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 344416 a multiple of 188?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = 4*s + 2. Let k(y) = -10*y. Let w be k(s). Solve -2*j = 4 - w for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2021 is divided by ((-360)\/6 + 14)*-4?\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 12324096 and 768?\nAnswer: 768","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x**5 + x**4 - 1571*x**3 - 6233*x**2 + 1570*x + 6232 = 0. What is x?\nAnswer: -38, -4, -1, 1, 41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 315, 29, -33, -2 in descending order.\nAnswer: 315, 29, -2, -33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -3*u**2 + 17*u + 34. Let n be j(7). Suppose -n*x + 1525 = -4403. Is x a multiple of 55?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-23*l - 266*l - 138*l)*(-3 - 2*l**2 + 0 + 3*l + 3*l**2) as y*l + f*l**2 + b + w*l**3 and give y.\nAnswer: 1281","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2789, 5596, 8403, 11210, 14017, 16824?\nAnswer: 19631","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -737*b + 732*b = 25, d + 2*b = -9 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -120629, -482712, -1086197, -1931096, -3017421, -4345184, -5914397, -7725072?\nAnswer: -9777221","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (227*r**2 - 227*r**2 + 10*r**4)*(2 + 2*r - 2 + (-4 + 5 + 1)*(-2*r - 3 + 3) + r + 3 - 3 + 4*r - 5*r + 0*r).\nAnswer: -20*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -36*i**2 - 14*i + 295. Let u(q) = 35*q**2 + 14*q - 397. What is -4*d(s) - 3*u(s)?\nAnswer: 39*s**2 + 14*s + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 5\/4 of a year?\nAnswer: 15","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -77, 8, 83, 142, 179, 188?\n\"Answer: -p**3 + p**2 + 89*p - 166","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 14*7\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 4\/147 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 5\/20228 and 29\/13.\nAnswer: 20228","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -m**2 - 4*m - 2. Let i(j) = -34 + j**2 + 40950*j - 40959*j - 1. Let r be i(12). Let t(q) = q**2 + q + 1. Give r*z(a) + 3*t(a).\nAnswer: 2*a**2 - a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*b = 38*b + 864 for b.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 192 is divided by 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*d**2 + 0*d**2 + 4*d**2)*(3 - 1 + 0)*(6 + 6 + 4).\nAnswer: 64*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -10 - 878315?\nAnswer: -878325","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) -8 (b) -4 (c) -3 (d) -4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1502 - 0?\nAnswer: -1502","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 4 + 4 + 462*x**2 + 191*x**2 + 12*x + 164*x**2. Let d be v(-8). Suppose h + d = -h. What is h rounded to the nearest one thousand?\nAnswer: -26000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2970 is divided by 53.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 g when two letters picked without replacement from {g: 1, b: 1, w: 2}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -11818897, -23637783, -35456669, -47275555, -59094441?\n\"Answer: -11818886*a - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -5*s**3 - s**2 - 47*s + 31. Is h(-15) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve w + 0*w = 2*w + 4*p + 2, -4*w + 1076*p + 72 = 1072*p for w.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 9 - 3 = 0, -q - 4*n = -301. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by 79\nAnswer: 4\/79","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 12 + -17. Let p = 3 + g. Let v be 0\/(4\/p + 0). Which is greater: 1 or v?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4323*c**2 + 120 + 2*c**3 - 8649*c**2 - c - c**3 + 4319*c**2 as f + z*c**3 + s*c + v*c**2 and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i - 4 - 4 = 0 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.3 in -4, -1\/6, 0.4, 3?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 10 - 18. Let l be (-97)\/(-4) + 2\/r. Let f = -12 + l. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1634\/209 + (-4)\/(-22). Suppose 5*d + b = 7*d, -j = -3*d - 552. Is j a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c*c**(-4)*c**(1\/5)\/c*c)\/((c*c\/(c*c*c**(-2\/19)*c))\/(c*c\/c**(-1\/13))))**29)**(-3\/26) assuming c is positive.\nAnswer: c**(-9222\/16055)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 7 + c + 0*c + 2*c. Let a be f(6). Suppose 4*s = -s + a. What is the units digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4 - -1660425?\nAnswer: 1660421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -106 = -0*q - 2*q - 4*s, s = 5*q - 309. Let a = -19 + q. What is the units digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 2910*s**3 + 343*s + 42. Let o(b) = 970*b**3 + 114*b + 15. Let v(z) = -11*o(z) + 4*t(z). What is the second derivative of v(f) wrt f?\nAnswer: 5820*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 325 minutes after 6:46 PM?\nAnswer: 12:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*r + 0*r - 19938*r**3 + 0*r**4 + 9970*r**3 - 2*r**4 + 2*r**2 + 9965*r**3 as a*r**4 + k*r**3 + t*r + y*r**2 + p and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*i + 18*i = -5*s + 17, 5*s = 3*i + 11. Solve -8*w = s*w - 3*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 23 or 70\/3?\nAnswer: 70\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-202)\/(-6) - -27*37\/(-333))*18\/12?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.4 - -5160315.\nAnswer: 5160314.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 3486 a factor of 34117482?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -295, -5, -3 in ascending order.\nAnswer: -295, -5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 2*z**2 - 45*z - 1253. Determine n(-17).\nAnswer: 90","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a when two letters picked without replacement from uuqkuuaakukaaakkk?\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 222612\/56 + 93\/(-434) is divided by 18?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 148722 at most as big as 148722?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwuuuwe. What is prob of picking 3 u?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-10)\/(-8))\/(10\/27*9).\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.808711 minus -0.3?\nAnswer: 2.108711","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 10 (b) 4.1 (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 483811999 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 15 (base 11) to base 10\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b = -19058 + 19018 for b.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 135 = 5*t - 10. Let i be 0 + 1 + (6 - 24). Let m = t + i. List the prime factors of m.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -29163600 to the nearest one hundred thousand.\nAnswer: -29200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 389, 387, 399, 431, 489, 579, 707?\n\"Answer: m**3 + m**2 - 12*m + 399","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(204)\/(sqrt(120)\/(sqrt(40)\/sqrt(4) + sqrt(10))) + ((sqrt(1377)*-1)**2 - ((sqrt(425) - sqrt(17)) + 0))).\nAnswer: -2*sqrt(17) + 1377","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 4741*i**2. Let p(r) = -315*r. Give d(p(x)).\nAnswer: 470425725*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -16? (a) -0.08 (b) 1 (c) -5 (d) -1 (e) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 9*v = -32. Let w be (v - 7) + 2 + -3. Suppose 3*c - 77 - 67 = w. What is the tens digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 850*l - 2141*l + 1024*l + 0 + 0.\nAnswer: -267*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -455*(-4)\/90 - 20 - (-292)\/(-18)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -3*r**2. Let k(u) = -3*u**2 - 2. Give l(k(y)).\nAnswer: -27*y**4 - 36*y**2 - 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -243, 28 in decreasing order.\nAnswer: 28, -1, -243","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -11.1 - -12. Let q = k + 0.1. Let u be -6 - -1*1\/1. What is the third biggest value in u, 2\/5, q?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4, -16443\/26, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 748.5953ml?\nAnswer: 0.7485953","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3.0147 or 0?\nAnswer: -3.0147","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-164)\/902)\/(-1 - -5)?\nAnswer: -1\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 25 + -14 + -40 + 16?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 4067?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 69\/(68034\/116)*(14 - 8)?\nAnswer: 12\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 divided by -133?\nAnswer: 10\/133","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*v + 7 + 5 = 242 for v.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 96\/13 less than 590?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 15*z - 4. Let h(v) = 30*v - 8. Let c(b) = 3*h(b) - 7*u(b). What is the derivative of c(w) wrt w?\nAnswer: -15","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -125, -301, -537, -833, -1189, -1605?\nAnswer: -2081","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -4, 4, 425, -34, -5, -26 in decreasing order.\nAnswer: 425, 4, -1, -4, -5, -26, -34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*z + 24, -r + 7*z = 9*z - 709049. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -184*p - 3 = -183*p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 1, u: 1, z: 5, e: 3, b: 2}. Give prob of sequence pbb.\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 3*u - 7. Suppose -20 - 5 = -5*b. Suppose b*h = 3*r + 34, -r - 35 = -4*h + 4*r. Determine z(h).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at least as big as -12\/37?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.043 + -35.957. Let o = p + 32.8. Let m = -2.2 - o. What is the third biggest value in 1\/6, -0.5, m?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j**2\/2 + 10720*j - 7863250 = 0. Calculate j.\nAnswer: -22150, 710","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 979944 is divided by 584?\nAnswer: 576","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 - 1\/4*r**2 + 1\/4*r.\nAnswer: -r*(r - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-2 + -1)\/((-1248)\/56) and -57\/338.\nAnswer: 676","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -422404934 + 2*u**2 + 422404934 + 160*u**3.\nAnswer: 160*u**3 + 2*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -8*s**2 - 619*s - 826. What is n(-76)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 72 or 6907?\nAnswer: 6907","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 703051999.\nAnswer: 13, 457, 9103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = h - 6. Let y be k(6). Calculate the lowest common multiple of (-1 - 1)\/(4\/(-22)) and (-4)\/(-22) + y + (-62)\/(-22).\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 11 = -0*v + 5*g, 4*g = 2*v - 8. Solve -v*j - 2*j = j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 142 divided by 71.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -3\/7, 2\/9, 0.12?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 359 and -5.\nAnswer: -1795","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 410*l + 19528 + 53546 - 8550 = -439*l for l.\nAnswer: -76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(-5)*((((q*q\/q**(-2\/9))\/q)\/q)\/q)\/q*q\/((q\/q**(-3))\/q)*q*q\/(q*q**(-2\/17))*q assuming q is positive.\nAnswer: q**(-1019\/153)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide -14625 by 21.\nAnswer: -4875\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 52618099 a multiple of 2588?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -3 + 16 - l + 4. Let a be 35 + -34 + (-7 - (-3 + -12)). What is p(a)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -168 - -111. Let d = -17 - r. Is d a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -4 (b) 10.8 (c) -1\/111 (d) -5 (e) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (89\/(-10) - -9)*(3 - (-11 - -6)).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 6*b**2 + 17*b - 25. Determine g(1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/((-7)\/5*595\/(-2499)).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4032?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3031152 is divided by 505166?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -106, -118, -130, -142?\nAnswer: -154","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 3 + 2)*(l**4 - 4054*l**2 + 2158*l**2 - 2*l + 2018*l**2).\nAnswer: -l**4 - 122*l**2 + 2*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 8480 + 548?\nAnswer: 10138","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 5*r = -10, -3*g + 4 = 2*r - 13. Solve 10*q = g*q + 4*h - 25, -2*q - 17 = -3*h for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 164*x + 4*o + 574 = 742, 0 = 2*o - 2 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*i - 3*i + 2*i)*(i + 0*i + i) + (3*i - 2*i - 2*i)*(-1 + 1 - i).\nAnswer: -i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(637) + 0 + -1*sqrt(637) + -3 + 5 + sqrt(26)\/(sqrt(2) - sqrt(128)*4))**2*-2.\nAnswer: -30778\/961 + 16*sqrt(13)\/31","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 74\/(-8) - 10\/(-40). Let b = s + 14. Suppose b*y - c = 20, 3*y + 25 = 8*y - 2*c. Solve 17 + y = 5*r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-three sixths of a day in hours?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 21581762 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -3*x**3 - 9*x**2 - 15. Is n(-10) a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 31 = 3*x - 6*x, 4*x = 3*b - 7. Suppose 1429 - 6383 = 2063*f - 1520 + 6881. Sort f, 8, b, 4 in descending order.\nAnswer: 8, b, 4, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 90 = 4*n + 51, -4*d + 624 = -4*n. Calculate the greatest common divisor of 28 and d.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, -2\/17, 2\/55 in descending order.\nAnswer: 7, 2\/55, -2\/17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-13 + 17 - 4)\/(2*1). Let g = -92.4 - -92. What is the nearest to -0.7 in 1, q, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 400287.7 millennia in months?\nAnswer: 4803452400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -84 = 58*d - 61*d + p, -4*d - 2*p + 122 = 0 for d.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = -l - 3*k - 2, -3 = 3*k. Put 5, l, 4 in descending order.\nAnswer: 5, 4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3 - -c3398?\nAnswer: c3395","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 24 - 14. Let f be (16\/(-10))\/((-261)\/255 - -1). Let k = 79 - f. Which is greater: k or m?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -67\/2667908 and -83\/282.\nAnswer: 8003724","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 582 minutes after 9:04 AM?\nAnswer: 6:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4 and 94?\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r**2 + 5*r + 6. Let o be s(-5). Suppose 2*c - o*c + 104 = 0. What are the prime factors of c?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 0*n**2 + 3*n**3 - 4*n**2 - 3*n - 2 + 4*n**2. Let x(c) = -10*c**3 + 9*c + 6. Let l(r) = 7*q(r) + 2*x(r). Determine w, given that l(w) = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3243013*d**4 - d**3 + 7*d**2 + 17*d - 28977.\nAnswer: -77832312*d - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -43768, -348164, -1174380, -2783326, -5435912?\nAnswer: -9393048","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 8aca + -539?\nAnswer: 8591","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -3510 (base 12) in base 3?\nAnswer: -22010010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 3*j = -6*j. Let p be 5*1 - -2*(-2 - j). Suppose 3*o - 5*a - 8 = 3, -o = 5*a + 3. Solve 3*y - o = p for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**6*c)**13 assuming c is positive.\nAnswer: c**91","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 106 + 4*t - 4*t - 109 - t**2. Let b(l) = 8*l**2 + 21. Let s(r) = -b(r) - 5*o(r). Let p(k) = -4*k**2. What is s(p(w))?\nAnswer: -48*w**4 - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2665*i*r*x - 2*i*r - 10*i*x + 2*r**2 - 142*x with respect to r.\nAnswer: 2665*i*x - 2*i + 4*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m + 1. Let g(p) = 3*p - 2. Let i(z) = 2*g(z) + 5*q(z). Determine i(-7).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve h + 20 = -5*v, 2*h + 0*h = -5*v - 20 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.64 * -5.1.\nAnswer: -3.264","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1539)*1)**2 + -5.\nAnswer: 1534","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1739*b + 233*b + 121014 = 735*b for b.\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 97978?\nAnswer: 2, 48989","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -33b2c - 85?\nAnswer: -33bb2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -27362\/629 - -1\/1258. Let y = p + 613\/14. What is the second smallest value in 1, y, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 0.3740869 weeks?\nAnswer: 226247757120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -85*p = -76*p. Which is the nearest to p? (a) -2 (b) 2\/13 (c) -91 (d) -1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1303125 - -1?\nAnswer: -1303124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) be the first derivative of 13*c**2\/2 + 2*c - 1. Suppose -2*s - 4*g + 36 = 0, 0 = s + 6*g - 5*g - 21. What is the remainder when k(7) is divided by s?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f when two letters picked without replacement from {f: 18, y: 1}?\nAnswer: 17\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-2\/13)*d**(-6\/5))\/((d*d*d\/d**(-2\/83))\/d**(-1\/2)) assuming d is positive.\nAnswer: d**(-52633\/10790)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/(-12) + (-344)\/(-129). Which is the nearest to 6? (a) 1\/6 (b) s (c) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(-20)*15455\/(-281)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vev when three letters picked without replacement from {b: 4, v: 7, e: 2}?\nAnswer: 7\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5.1 - 4.9. What is the nearest to -2 in j, 2\/3, 3?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -16 divided by -138\nAnswer: 8\/69","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8\/(-3))\/(840\/15750)?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-8*h + 14*h + 5*h)*(32 + 97 + 43)*(0*h + 0*h - 2*h) to r*h**2 + x*h + o and give r.\nAnswer: -3784","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.51 and -0.109?\nAnswer: 0.05559","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) be the second derivative of 7*n**6\/15 - n**3 - n**2 - 2*n + 5. What is the second derivative of l(q) wrt q?\nAnswer: 168*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/56*-21)\/((-3)\/(-8)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4303435 (base 7) in base 2?\nAnswer: 1111111100000011100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the first derivative of -60 + 5\/2*u**2 + 2*u. Let w = 0 + -4. Let h(b) = -9*b - 4. Calculate w*h(s) - 7*d(s).\nAnswer: s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0 - 3 - (6 - 19). Find the second derivative of 9*q + 2 - 8 - o*q**5 + 6 wrt q.\nAnswer: -200*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by 325.\nAnswer: 1\/325","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4929728?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -17*s**3 - 3*s**2 - 15*s - 64*s**3 - 3 + 3 wrt s.\nAnswer: -486","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w**2 - 13*w + 10. Let s = 4 + 9. Suppose -x + 12 = -3*h, 3*h = -2*x - h - 6. What is the lowest common multiple of c(s) and x?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 0.5 (b) 16 (c) -3\/23 (d) -3 (e) -8088\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2573236*r + 5145451*r - r**2 - 2572215*r.\nAnswer: -r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Product of -22.7 and 1709.\nAnswer: -38794.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 100*n**2 + 24*n + 17. Let v be d(-8). Suppose v = -8*m + 2073. What is m rounded to the nearest 100?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26501611.\nAnswer: 269, 98519","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/30*3\/(6\/(-4)).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (552\/9)\/(-4)*(-69)\/(-46)?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 - (-33 + (81 - 56))?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 49682127?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -2, 9, -1\/9, -2\/21, -46, -34?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45 = 3*h - b, h - 4*b + 2 = 2*h. Suppose -5*w + 81 = 2*p, 0 = -5*w + 3*w + 4*p + 18. Which is smaller: w or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-3*(-2287)\/9)\/((-1)\/(-3)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 = -4*z - 11. Let c(n) = -n**3 + 12*n**2 - n + 15. Let a(u) = 4*u - 12. Let t be a(6). Let v be c(t). Solve v*h - h = z for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 52\/5 of a millennium in decades?\nAnswer: 1040","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1870196 is divided by 233673?\nAnswer: 812","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 3*z - 7. Suppose -3*a + 1 = -8. Suppose 0 = 5*n + 2*g - 36, -3*g - 2*g = -3*n + a. What is x(n)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -415955*a**4 + 2*a**2 - 17963866.\nAnswer: -1663820*a**3 + 4*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, j: 1, s: 2, d: 2, i: 2}. What is prob of picking 1 s and 1 i?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 9*i**2 - 2*i - 1. Let m(r) = -2*r**2 + r. Let q(p) = p**2. Let a = -12 - -14. Let t(y) = a*q(y) - m(y). Let n(u) = -3*j(u) + 7*t(u). What is n(0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*(-3)\/(-4)*84\/7*344\/(-24)?\nAnswer: -129","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the first derivative of j**6\/120 + j**5\/30 + j**4\/12 + j**3\/3 + 1. Let f(g) be the third derivative of x(g). What is f(-2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1526 to the power of 1\/2, to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -s**2 + 17*s + 6. Let j(t) = t**2 - 31*t - 10. What is -5*i(k) - 3*j(k)?\nAnswer: 2*k**2 + 8*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:55 PM and 3:07 AM?\nAnswer: 372","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + p + 0)*(0 - 3 + 5) - p + 3*p - p + p - 2*p + 0*p - 27*p - 4173 + 3819 + 39*p.\nAnswer: 14*p - 354","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m and 2 a when four letters picked without replacement from maammammammaammmmm.\nAnswer: 11\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -79, -387, -907, -1645, -2607, -3799, -5227, -6897?\n\"Answer: -l**3 - 100*l**2 - l + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -3*d + 1 - 10 + 2. What is the tens digit of u(-16)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence icl when three letters picked without replacement from nillxqc.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2420184919560 + -2.\nAnswer: 2420184919558","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 2, u: 1, r: 3, l: 4}. What is prob of sequence lr?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 60, -4, -5, -71, 4 in increasing order.\nAnswer: -71, -5, -4, 0, 4, 60","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 9630 divided by -6\nAnswer: -1605","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4806*h - 9623*h + 4819*h + 19460.\nAnswer: 2*h + 19460","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -878234661*-1.\nAnswer: 878234661","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 6928768 < 6929052?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f + 2*n = -2*n + 3*n - 172, -6*n + 53 = 74*f - 75*f for f.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -264434310 by 2526.\nAnswer: -104685","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5937972*p**3*w + p**2*w - 143*p**2 - 2*p*w + 5*p + 1591 wrt p.\nAnswer: -35627832*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 462 + 435 = 299*w. Solve 0 = w*n - 282 + 285 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the first derivative of k**3\/3 + 7*k**2\/2 - 5*k - 5. Let b be y(-7). Let i(j) = -j**2 - 4*j + 5. Let w be i(b). Sort 5, w, -1 in decreasing order.\nAnswer: 5, w, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 12 + -6. List the prime factors of ((-57)\/n)\/((-2)\/4).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 16644 and 24?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 106980505?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 127 is divided by 32.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 6348 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 59556 and -113?\nAnswer: -6729828","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1267065 is divided by 87.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 2*v - 7. Let b be v*((-257)\/2 + 1). What is b rounded to the nearest 1000?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.072 (b) 0.2 (c) -4365\/11 (d) 8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -3 + 1 - 0\/2. Let y = 3 + d. Suppose 0 = 3*q - 22 + y. What is the units digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-i - i + 0*i + (3 - 2*i - 3)*(-1 - 5 + 4))*(1 - 1 - 1).\nAnswer: -2*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 24\/(-35) + 2 + (-36)\/21. What is the nearest to q in 2\/13, 0.1, 6\/13?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2582 + -4320. Let c = -159899\/92 - d. Let f = -211\/828 - c. Is 0 at least as big as f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 21160 and 2228.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.0917 - -0.1917. Which is the nearest to r? (a) -6 (b) 0.3 (c) 2\/9 (d) 2\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 128568 and 176.\nAnswer: 257136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, 717, -2\/7, -1\/5 in descending order.\nAnswer: 717, 0.4, -1\/5, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 878 to the power of 1\/3, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**1)**47\/(w*w\/w**(1\/2)*w*(w**(-7)\/w)\/w*w))\/(w*w*w\/w**(-8)*w**(-3))**(-41) assuming w is positive.\nAnswer: w**(761\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of (-4)\/((-4)\/37469) - ((-1296)\/16)\/(-9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -332, -331, -330, -329, -328, -327?\n\"Answer: l - 333","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l**(3\/4)*l*l)**(1\/23)*(l**9)**(2\/11))**(2\/19) assuming l is positive.\nAnswer: l**(1821\/9614)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + -20 + 11 - (-7 + 0).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1904\/392)\/(186\/(-14) - -13)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 4*u**2 - 29*u - 1. Let b be v(7). Sort 1, -1, 0, b in ascending order.\nAnswer: b, -1, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -z**3 + 4*z**2 + 6*z - 3. Let d be g(5). Suppose 0 = -b + 7 + d. Let i be 0\/1 - 6\/b. Which is smaller: 0 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60192 = -27*d + 15*d. Does 132 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 8*z + 8*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2792 and 32874055?\nAnswer: 349","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64*n = 67*n + 4*l + 10, -2*l = -4*n + 16. Let c(k) be the first derivative of 0*k + 1\/20*k**5 + 0*k**n - 3\/16*k**4 + 14 + 0*k**3. Factor c(u).\nAnswer: u**3*(u - 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 3 u when four letters picked without replacement from rrurrurr?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15168?\nAnswer: 2, 3, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:02 AM and 2:35 PM?\nAnswer: 453","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 621 is divided by 319?\nAnswer: 302","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -294 + 625. Let m = x + -331.0598. What is m rounded to two decimal places?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.05054710489 plus 0.0212?\nAnswer: 0.07174710489","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -10010000 (base 5) to base 6\nAnswer: -1404330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 137447630*h - 134927570 wrt h?\nAnswer: 137447630","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 5, 28, 65, 116, 181, 260, 353?\n\"Answer: 7*l**2 + 2*l - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -42, -77, -114, -153, -194, -237?\n\"Answer: -b**2 - 32*b - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -2344 and -0.05328737817?\nAnswer: 2343.94671262183","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 552 and 936.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -5*q + 13. Let r be b(2). Suppose -2*g + 4 = 3*m - r, -4*m - 5*g + 14 = 0. Solve -2*i + 5 = 5*h + m, 5*h - 4*i + 8 = 0 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.2 (b) -7 (c) -1\/3 (d) -608 (e) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -g - 4. Let z be q(-7). Is -4 + -1 + z + 113 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 92965507 less than or equal to 92965506?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -j - 8. Let v be ((-14)\/4 - -4)*j. What is the highest common factor of 9 and v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 10 - 10.11. Let t = 0.51 + o. What is the closest to 3\/5 in 4\/3, t, -3\/7?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -2*v + 44. Let n be h(20). Suppose 30*x + 15*x = 90. Solve -2*a = n*q + 12, 3*q = x*a + 5*q + 4 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 7\/145 and 23\/20.\nAnswer: 580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g + 3*n = -4, 2*n = -6250*g + 6255*g + 29 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*q**3*s + q**2*s**3 + 243511*q**2*s**2 - 5*q*s**3 + 6*q*s**2 + q - s**3 - 78*s + 23 wrt q?\nAnswer: 18*q*s + 2*s**3 + 487022*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -21\/16430 at least -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*c + 7 = 7*c. Let b(t) = t**2 - t + 2. Let l be b(4). Let w = l - c. What is the lowest common multiple of 10 and w?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3 - -1. Suppose -6*z + z = -3*w - 39, -3*z = d*w - 6. Let c = 5 - 1. Calculate the smallest common multiple of c and z.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -k**3 - k. Let g be n(-2). Let i be -5 + -2 - g\/(-5). What is the units digit of 11*(-1)\/1*i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 6*a + 139. Let y be w(9). Find i such that 33*i**2 - y*i**4 + 97*i**4 - 21*i + 21*i**3 + 0*i**3 - 36 + 99*i**4 = 0.\nAnswer: -4, -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 243 (base 5) in base 6?\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -t. Let j = -3 + -7. Let l = j + 17. Let y(a) = l*a**2 - 7*a**2 + 5*a**2. Calculate v(y(c)).\nAnswer: -5*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 157343 (base 8) in base 2?\nAnswer: 1101111011100011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 39271319156.33 + -39493673672. Let h = s - -222354377.67000107. Let l = -138 - h. Round l to seven dps.\nAnswer: -0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 74*q**2 - 217*q**2 - 452*q**2. Let k(n) = -n**2. Give r(k(w)).\nAnswer: -595*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(833) + 0) + -3 - ((0 + sqrt(833))*3 + -4 + sqrt(833) + -1))**2.\nAnswer: 28*sqrt(17) + 837","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 2*x**2. Let z(w) = -w**2 - 9*w + 323. Let h be z(14). Let k(q) = q**2. What is h*d(s) + 3*k(s)?\nAnswer: 5*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4316816?\nAnswer: 2, 7, 38543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -4, -42, -174, -448, -912, -1614?\n\"Answer: -8*n**3 + n**2 + 15*n - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -160.6 - -145. Let q = k + 17. Let m = q - 1.40026. What is m rounded to four dps?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5331731 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3833, -101, -0.04 in decreasing order.\nAnswer: 3833, -0.04, -101","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 114210323 (base 5) in base 7?\nAnswer: 4401064","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = r - 414. What is the third derivative of -r*h**4 - 4*h**2 - h**6 + 69*h**4 wrt h?\nAnswer: -120*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2476770 to the nearest 1000000.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 140d889 (base 15) to base 3\nAnswer: 1000020100111110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 times -3.6323?\nAnswer: 3.6323","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/(-6) + (-14)\/(-6). Suppose -22 = n*j - 0*j - 2*d, -3*j = 4*d + 47. Let l = j + 18. Solve -1 + l = -2*p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-23 - 2 - -15) + (9 - 0).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6*w + 2*w + 2*w)*(2 - 2 + 3)*(-753 + 1135 - 598) in the form k + y*w and give y.\nAnswer: 1296","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -165017, -330134, -495347, -660656, -826061, -991562?\nAnswer: -1157159","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 40820 is divided by 3680?\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3348814896?\nAnswer: 2, 3, 7, 3322237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -1303*((-2)\/(-6) - (-8)\/(-6)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 100991 a multiple of 94?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 18 - 3. Let s(z) = -2*z - 1. Suppose -15 = -5*n - 5*j, 2*n - n - 13 = -3*j. Let l be s(n). What is the highest common divisor of l and p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = b**3 - 11*b**2 - 12*b + 8. Let m be (4\/(-18) - (-3290)\/(-180))*-2. Let y = m - 25. Calculate the smallest common multiple of 5 and s(y).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1111011110110111 - -10?\nAnswer: 1111011110111001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 28*i**2. Let x(l) = l**2. Determine a(x(q)).\nAnswer: 28*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = -3*j + 3. Let i(q) = q**2 + 9*q + 16. Let l be i(j). Solve -2*s + 2*c = 8, 0 = 3*s + 5*c + l + 4 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -73 + 89 - (-7 - 10)?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 9*z**2 + 12*z + 27. Let a be l(-5). Calculate the highest common divisor of a and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0 + 0.5. Let m = -107067 - -107065. What is the closest to x in 4, 1\/10, m?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2851810 + 670155.8.\nAnswer: -2181654.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (16\/10)\/(3 - 1)?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 8 - 8. Suppose 3*b - 8*b + 15 = k. What is the highest common factor of 33 and b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(112) + -3 + sqrt(112)) + -3)**2 + 3.\nAnswer: -288*sqrt(7) + 1876","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Are -290\/9 and -32 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -t - 11. Determine y(-11).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -100 = -2*h + 4*u - 9*u, -h = 3*u - 49. Suppose -h = 12*k - 43. Which is the third smallest value? (a) 12 (b) 13\/4 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -2 (b) 0 (c) -0.38 (d) -162 (e) -3 (f) 3 (g) 0.05\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 9818 - -16875. What is the tens digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1851 plus 1.1?\nAnswer: 1852.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*g = 27 - 69. Suppose 0*u**g + 3\/7*u**3 + 0 - 3\/7*u = 0. What is u?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h + 1 = h. Suppose 28 = 3*q + h. What are the prime factors of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 373048?\nAnswer: 2, 13, 17, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 405970*w + 5683563. What is v(-14)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1503 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: Which is the closest to -2\/5? (a) -2\/27 (b) 9 (c) -5\/6 (d) 170\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = 4*l - 33. Let z(r) = 4*r**2 - r**2 + 4 - 5 + 7*r. Let c(j) be the first derivative of -2*j**3\/3 - 2*j**2 + j + 3. Determine l*c(k) + 3*z(k).\nAnswer: -k**2 + k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 659969 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that -x**4\/7 + 2*x**3\/7 + 4*x**2\/7 - 2*x\/7 - 3\/7 = 0.\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1572?\nAnswer: 2, 3, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out -149.81 * 1.36.\nAnswer: -203.7416","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 5617 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 606.9 to the nearest 100.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 6*l - 0. Suppose 2*f - 30 = -2*i - l*f, -5*f + 10 = -2*i. List the prime factors of i.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 101632948 and 6?\nAnswer: 304898844","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -801 + 805. Solve 2 = -a - h, -o*a + 3*a - 3*h = 12 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4 and -328501.\nAnswer: -1314004","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 15430920 divided by 4?\nAnswer: 3857730","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -u**2 - u + 680. Let z be d(-26). Solve 7*a - z = -79 for a.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-33)\/(-3))\/(-121)*-3\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -184*w**3 - 3 + 185*w**3 + 0.\nAnswer: w**3 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -0.2*1550.753\nAnswer: -310.1506","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -528*v + 520*v + 40 = 0. Which is the second smallest value? (a) -1\/7 (b) -0.1 (c) v (d) -2\/99\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = -9 + 2. Let h = g + 3. Is (6\/h + 2)*134 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 613 - 1143. Let z = -111 - m. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 36 or 4929\/139?\nAnswer: 4929\/139","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -14311220 + -13012?\nAnswer: -14324232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of -14 and 1.097.\nAnswer: -15.358","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 398260 and 30?\nAnswer: 1194780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1021 to 2 decimal places.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -5, -13714, 8.1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1323 (base 6) to base 8.\nAnswer: -523","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-368)\/(-138)*135\/(-20)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = -4*k + 30, -2*k - 4*i = -8*i. Let n = 69 - k. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -218 - -494. Suppose 0 = -3*a + 1023 + t. Let f = 233 - a. Round f to the nearest 100.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30327.\nAnswer: 3, 11, 919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/35, 0.045, 1946 in increasing order.\nAnswer: 1\/35, 0.045, 1946","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -3662*w**2 - 10864039*w + 1 + 10864037*w - 2 in the form g*w**2 + n*w + c and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((130\/590)\/(-13))\/(244\/(-8)). Which is bigger: x or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (308\/55)\/(-14)*(-5)\/7\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 10206995 to the power of 1\/3, to the nearest integer?\nAnswer: 217","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by 39?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -48, 4 in ascending order.\nAnswer: -48, -4, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 47755.95 kilograms to nanograms.\nAnswer: 47755950000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 51818?\nAnswer: 2, 13, 1993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 327 a factor of 526298?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 261565 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -45*d**3 + 2*d - 5*d**3 - 80*d**3 - 31*d**3.\nAnswer: -161*d**3 + 2*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -48*b + 18. Let d be p(-20). Let q = 1006 - d. What is the remainder when 53 is divided by q?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6, -78, -276, -606, -1086?\nAnswer: -1734","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -2810 rounded to the nearest 1000?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -131, -168, -13, 430, 1257, 2564, 4447, 7002?\nAnswer: 10325","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 9293 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 72139.\nAnswer: 72139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0 and -20484.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -45 + 29. Is d not equal to -15?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = f**3 - 4*f**2 + 3*f - 2. Let x be d(4). Let b be 1 - (6\/x)\/1. Which is smaller: b or 1?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44*z + 33*z + 80 + 74 = 0 for z.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 2191.886 litres?\nAnswer: 2191886","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 0.074, 0.47, -1?\nAnswer: 0.47","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the second derivative of 7*d**5\/20 - 5*d**3\/6 + 5*d**2\/2 - 236*d - 2. Let o(k) = -k**3 + k - 1. Determine 5*o(p) + u(p).\nAnswer: 2*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(176)*-2)\/sqrt(4) + (-3 + sqrt(891)*1)**2.\nAnswer: -58*sqrt(11) + 900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a centimeter in millimeters?\nAnswer: 1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1911 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -78*a + 38*a = -48*a + 5*p - 96, 4*a = 4*p - 48 for a.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: What is -8a2c5 (base 14) in base 8?\nAnswer: -1216745","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of (11\/6)\/((-316)\/(-60672))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -154443*m**2 + 2 + 77565*m**2 + 1 - 3 + 76874*m**2.\nAnswer: -4*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -265 - -744. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -63570*p - 826414. Determine q(-13).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 156.1135km in centimeters?\nAnswer: 15611350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1157*v**2 - 8592*v**2 + 7438*v**2.\nAnswer: 3*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = 4, 3*x - 2*x = 5*i + 11. Suppose -c - h = -x, -5*c - 3*h + 100 = -2*h. Calculate the remainder when 144 is divided by c.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -136 - -155. Calculate the remainder when 603 is divided by r.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3486)\/70 + 24 - (5 - 32)?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that 4*i**2\/3 - 433256*i + 35195767788 = 0.\nAnswer: 162471","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ssseese. What is prob of picking 1 s and 1 e?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = o - 14. Let l(n) = -4*n**3 + 5*n + 2. Let g(c) = 9*c**3 - c**2 - 11*c - 4. Let p(a) = o*l(a) + 3*g(a). Let s be p(-4). Solve 2*q = -3*q - s for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = z**3 - 10*z**2 + 21*z + 2. Let u be t(7). Solve -2*d = -4*d + u for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 - (-112 - -32 - (-5 + -3 - 5))?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -5*u + 5*o, 0 = -4*u - 8*o + 3*o - 25. Is u > -3\/31?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ttaau. Give prob of picking 2 a and 1 t.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -3*u. Let q(d) = -189324*d. Calculate z(q(r)).\nAnswer: 567972*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2842*i + 2839*i + 24 - 26 = -80 for i.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -14, -48, -98, -158, -222, -284?\nAnswer: -338","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 1, p: 2, n: 4, q: 5, g: 2}. Give prob of sequence nqq.\nAnswer: 10\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2*1 - 2\/1. Suppose -l - b - 15 = -s, 3*b - 15 = 0. What are the prime factors of (-36)\/15*l\/6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 - 39 = -3*n. Suppose -64 = -4*s + n*p, -3*s - 3*p + 48 = -0*p. Solve 5*i + s - 1 = 0 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = d + 2 + 2 - 7 + 13. Let y(w) = w**3 - 8*w**2 + 5*w + 9. Let q be y(7). Let r be f(q). Sort -3, -1\/2, r in ascending order.\nAnswer: -3, -1\/2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = 4*i + f - 32, -2*i + 5*f = 0. What is the tens digit of 36\/i*1*5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2681 - 1742. Let t be 4\/6 - a\/(-9). What is the greatest common divisor of t and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + sqrt(5)*-2 - ((sqrt(5)*1 - sqrt(5)) + 4) - (sqrt(5) + sqrt(5) + -3*sqrt(45) + 2))**2.\nAnswer: -100*sqrt(5) + 225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-4\/7)\/(n**(-1\/2)*n*n)*n**(-1\/2)\/(n**(-2)*n))\/((n\/n**(-2\/3))**6\/((n*n**(1\/4))\/n)**(2\/53)) assuming n is positive.\nAnswer: n**(-8579\/742)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -6*l**3 + 8*l**2 + 5*l - 6. Let d(j) = 4*j**3 - 5*j**2 - 3*j + 4. Suppose 0*a - 5 = -a. Determine a*h(w) + 8*d(w).\nAnswer: 2*w**3 + w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by 4296\nAnswer: -1\/1432","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000305918713 rounded to six decimal places?\nAnswer: 0.000306","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -45*k + 40 + 50. Sort 4, -4, k.\nAnswer: -4, k, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10010200 (base 3) in base 10?\nAnswer: -2286","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - (11 - (-10 - (7 - 15)))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -230 divided by -5?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 m and 1 c when four letters picked without replacement from {z: 1, m: 3, s: 6, c: 3}.\nAnswer: 3\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -2*l - 4 - 5*l**2 + l**3 + 6*l + 2*l. What is the remainder when 10 is divided by a(4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10501 (base 7) to base 5.\nAnswer: -41042","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 722*p = 243*p - 9580 for p.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*g + 2*g + 2*g)*(g + 3 - 3) + 3 - 3 - 2*g**2 - 9*g + 2 to y + v*g + n*g**2 and give n.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -49 - -48.876. Let t = f - -0.123888. Round t to five dps.\nAnswer: -0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-6)\/12*4\/(-9). Let r = -15.7 + 16. What is the biggest value in k, 4\/7, r?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 17*2\/(-4)*38\/(-19). Suppose -o*l + 78884 + 31973 = 0. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 134 = 4*p - 5*b, 0 = -5*p - 6*b + 3*b + 186. Suppose 80 - 140 = 6*v. Is 2 a factor of (p\/10)\/(v\/(-25))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -d**2. Let m = 16 - 14. Let r(i) = 0*i**2 + 2*i**m - 5*i**2 - 4*i**2. What is r(b(y))?\nAnswer: -7*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0628222 grams to milligrams.\nAnswer: 62.8222","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 81361637 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 7\/47268 and 163\/2340.\nAnswer: 236340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -1478, -2955, -4432, -5909, -7386?\n\"Answer: -1477*v - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1216111 - 1216106. Factor -8 - 20\/3*j + 14\/3*j**2 + 7*j**3 + 8\/3*j**4 + 1\/3*j**h.\nAnswer: (j - 1)*(j + 2)**3*(j + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1679206 is divided by 21526.\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 7\/4 of a millennium?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -1474767, -1474772, -1474777?\n\"Answer: -5*b - 1474762","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 24270 and 300.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 31020 and 36660?\nAnswer: 403260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the third derivative of 5*m**2 + 0*m**6 + 0*m**7 + 0*m**3 + 0*m + 0 - 1\/30*m**5 + 0*m**4 + 1\/84*m**8. What is the third derivative of u(v) wrt v?\nAnswer: 240*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 1 = 2*j - 79, 5*j = 0. What is the smallest common multiple of i and 5?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*z - z - 3*z + 5*z as d + p*z and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -29 - -49. What is the lowest common multiple of 4 and t?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7336270 and 890.\nAnswer: 890","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -863 + 6903\/8. What is the nearest to -0.2 in -0.17, 2, 0.3, k?\nAnswer: -0.17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) be the third derivative of 0*t**6 - 61\/210*t**7 + 0*t**5 - 2*t**2 + 0*t + 229\/24*t**4 - 77 + 0*t**3. What is the second derivative of o(a) wrt a?\nAnswer: -732*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -b**2 - 6*b + 65. Let l(i) = 3. Determine -6*l(n) + o(n).\nAnswer: -n**2 - 6*n + 47","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-31*f - 12*f - 23*f)*(-2*f**2 - f**2 + f**2)*(1 - 1 + f).\nAnswer: 132*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y*y*(y\/(y**(6\/7)\/y))\/y*y**(-7))\/((y**4\/y)\/y)**(-2\/5) assuming y is positive.\nAnswer: y**(-107\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1418115887?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -13 - -10. Let c be o\/5 - (-18)\/5. Suppose 3*u - 10 = j, 2*j - c*j - u = -10. Let m(r) = r**2 - 5*r - 1. Calculate m(j).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -34*d**3 + 7*d**2 - 150*d + 3. Let x(z) = 67*z**3 - 13*z**2 + 299*z - 5. Let p(r) = 5*b(r) + 3*x(r). What is the second derivative of p(q) wrt q?\nAnswer: 186*q - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -670317*z + 3*s - 22 = -670312*z, 5*z - 14 = -s for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -4008, -14947, -33170, -58671, -91444?\n\"Answer: b**3 - 3648*b**2 - 2*b - 359","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -5*f**3 + 40*f**2 - 49*f + 37. Let a(j) = -2*j**3 + 16*j**2 - 24*j + 18. Let y(c) = -7*a(c) + 3*x(c). What is y(10)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3976364 divided by -14?\nAnswer: 284026","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 4*a = -3*d + 8, 0 = -4*a + 3*d - 4. Let 5*y**2 + a*y - 2*y**2 - 3*y**2 - y**2 = 0. Calculate y.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence swbw when four letters picked without replacement from wwwwwbwsfwfbbswsfwww.\nAnswer: 11\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -437 - -686. Suppose 234 = -q + m. Solve 6*c - 15 = q for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 21951*n**2*x - 600*n*x**2 + 3*n*x + 430458711*x**2 wrt n?\nAnswer: 43902*n*x - 600*x**2 + 3*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 190 a factor of 379801?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1000010100 (base 2) in base 16?\nAnswer: 214","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -r**2 + 7*r - 9. Let l = 132 + -117. Suppose -2*a + z - 4 + 11 = 0, 0 = 3*z - l. Determine i(a).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (746 + 31 + 222)*(-7 + 5*b + 7)*(-2 + b + 2).\nAnswer: 4995*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 287*c - 327*c = -280 for c.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -46 + -16?\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 454 minutes before 11:24 AM?\nAnswer: 3:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4)\/12*-15 - 10. Suppose -5*i - 43 = -4*t - 7, 0 = 2*t - i - 12. Suppose 0 = -t*m + 2 + 18. Put 4, h, m, -4 in decreasing order.\nAnswer: m, 4, -4, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 244795155?\nAnswer: 3, 5, 11, 17, 197, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 10605 to the power of 1\/3, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 60 = -0. Let y(s) = 5*s**2 + 61*s + 20. Let b be y(c). Calculate the highest common factor of 10 and b.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 5 (b) -24 (c) -3 (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 1 = 2*v. Let d(f) = 2*f - 12. Let u be d(8). Suppose 2*l - 5 = 3*o, o - 6*o + u*l = 11. What is the nearest to o in 2\/13, -4, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 + 11 = -2*c. Let z be ((-526)\/(-4))\/(c\/(-14)). What is the common denominator of 93\/8 and z\/(-15) - 7\/(-35)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 0 - -112485?\nAnswer: 112485","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-5)\/3)\/(16\/252))\/(52*(-156)\/(-43264)).\nAnswer: -140","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 8 + 785?\nAnswer: 804","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 3*u + 2 = 13, -4*u + 17 = -5*w. Sort -5, 106, w in ascending order.\nAnswer: -5, w, 106","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4 - 38397a?\nAnswer: -383983","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -8263.9920345 - -8264. What is x rounded to five decimal places?\nAnswer: 0.00797","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -2*(1 - 78\/4).\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 357 + 215 = 2*m + 2*w, -5*m + 3*w = -1430. Suppose 435 = 3*q - 26*p + 22*p, -2*q + 4*p + m = 0. What is the hundreds digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23 divided by 115?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((((3*sqrt(156))\/sqrt(3))\/sqrt(4))**2 - (-2*sqrt(832)*-2)**2)*-3.\nAnswer: 39590","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(2\/3)*t)**27\/((t\/(t\/(t*t**(-2\/3)*t)))\/t*t)**(-1\/62)*((t**(2\/5))**(26\/3))**(-2\/27) assuming t is positive.\nAnswer: t**(562021\/12555)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = 2*a + 20. Let b be a*(-2 - 1\/(-1)*1). Factor -1\/3*p**b + 0*p**4 + 0*p**2 + 1\/3*p**3 + 0 + 0*p.\nAnswer: -p**3*(p - 1)*(p + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -163 = -3*n + 4*i, 13*n - 17*n + 3*i + 222 = 0. What is the highest common factor of n and 3287?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/11 + (-6)\/(-33). Put 24, j, 5, -4 in descending order.\nAnswer: 24, 5, j, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11 - -10111?\nAnswer: 10100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -6*m - 64. Let a be d(-12). Suppose -4*z = 2*p - a, -3*z - 2 + 1 = 5*p. Solve 0 = z*c + 4 + 2 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6.3? (a) 2\/45 (b) -2 (c) 6 (d) 1 (e) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-25)\/(-4) - 30\/120. Let b(w) = w**3 - 6*w**2 + 4*w - 3. Let s be b(i). Suppose -7*z + 105 = -2*z. Calculate the greatest common divisor of s and z.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -2*o**3 - 8*o**2 - 9677*o - 3. Calculate t(0).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.5 - 0.4608.\nAnswer: -0.9608","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l = -12, -3*l = -4*p - 0*l - 17 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + -1 + 4 + 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -n**2 - n - 3. Let f be z(0). Let c = f - -4. Let g = c + 2. Calculate the highest common divisor of 30 and g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -827 - -831. Let c(o) be the first derivative of 0*o - 10 + 1\/14*o**p + 1\/7*o**2 + 4\/21*o**3. Factor c(a).\nAnswer: 2*a*(a + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 48 and 732?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = m**3 - 9*m. Let o(c) = -3*c. Calculate -2*l(b) + 7*o(b).\nAnswer: -2*b**3 - 3*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) -106 (b) 18 (c) 0.4 (d) -0.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 115 - 8*o - 115.\nAnswer: -8*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*c + 534 - 188 - 60 - 133 - 4*c**3 to the form n*c**3 + d*c**2 + h*c + m and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fzffffzfffffzffuuzz. Give prob of sequence fuzf.\nAnswer: 55\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 5123897 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1984, -4920, -7860, -10810, -13776, -16764?\nAnswer: -19780","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + -2 + 85 + -102.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*q**3 + 5*q**3 - 4*q**3 + (507*q - 993*q + 512*q)*(6 - 2*q**2 - 6) + 4*q**3 - q**3 + 0*q**3 as d*q**3 + i*q + g*q**2 + k and give d.\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 60311308 by -15077827.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-92)\/322)\/(60\/510 - (3 + (-844)\/(-238))).\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 52 + -90. Suppose -b - 6 = 2*p, -25*p - 12 = -20*p + b. What is the closest to 2\/7 in 0, p, l?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -13 + 84 + -318 + 143.\nAnswer: -104","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*b**2 - 2*b**3 + 21*b**4 - 2*b**2 + b**3 + b**3 + 2 to the form a*b + m + u*b**2 + l*b**4 + v*b**3 and give l.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 88\/20 - 6\/(-10). Suppose -3 = o*p + 2. Let k = 2358.2 + -2359. Which is smaller: k or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.2, -5, -21642094\/5?\nAnswer: -21642094\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + (-2 - -3) - ((3 - 7) + 2).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/(-7)*2\/(-5)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5 in 2\/5, 0.013, 5, 3\/14?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10802 = -5*m + 496*m for m.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 3) to base 2.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32 = -5*h + 7 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.0271 + -3.5871. Let d = 3.76 + i. Put d, 0.5, -2\/11, 1.1 in descending order.\nAnswer: 1.1, 0.5, d, -2\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 133\/114 + (-580)\/72 and ((-74)\/(-6))\/(8\/(-6)).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k**4\/17 + 132864*k**3\/17 + 2212841084*k**2\/17 + 207127402752*k\/17 + 4860606554498\/17 = 0 for k.\nAnswer: -33169, -47","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 558 minutes after 11:02 PM?\nAnswer: 8:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) -5 (b) 3 (c) 0.519\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = 3*k + 185 - 174, -5*k - 5*n = 5. What is the fifth biggest value in 5, k, 1\/4, -5, 73?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 424898743 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/(2 - 32\/17). Let t be ((-42)\/(-12))\/((-1)\/10). Let a be (-938)\/(-5) - (-21)\/t. What is the highest common factor of a and v?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 10 = -s, 2*s = 4*d + d - 16. Suppose s*i = -82 - 186. Find the common denominator of (i\/(-20))\/(-1 + -1) and -57\/10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 65884 is divided by 30218?\nAnswer: 5448","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Total of -19057.17755468 and -0.06.\nAnswer: -19057.23755468","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the third derivative of -11*n**2 + 0*n**4 + 0 + 0*n + 0*n**5 + 1\/2*n**3 + 0*n**6 - 2\/105*n**7. What is the first derivative of m(a) wrt a?\nAnswer: -16*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 106677698 and 14.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 754798.\nAnswer: 2, 11, 3119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) be the first derivative of 2*f**3\/15 - 13*f**2\/5 + 84*f\/5 + 1543. Determine z, given that d(z) = 0.\nAnswer: 6, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-96584)\/7920 + (-6832)\/(-560)?\nAnswer: 1\/198","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 113 + (-239 - -22 - -58).\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = y**3 + 15*y**2 + 12*y + 14. Let i = -30 + 16. Let z be b(i). Calculate the common denominator of (1 - 4)*z\/99 and -34\/89.\nAnswer: 979","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 585.4682 litres to millilitres.\nAnswer: 585468.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7839678?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -j**2 + 76*j + 148. Give h(-2).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 3, k: 7, s: 4, v: 4}. What is prob of picking 1 s and 1 h?\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*x**3 - 2*x + 3*x**3 - 11*x**2 + 5*x**2 + x - 6*x**3 in the form m*x**2 + f*x + a*x**3 + c and give m.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/2*p**4 - 9*p + 0 + 2*p**3 + 3\/2*p**2.\nAnswer: -p*(p - 3)**2*(p + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 27 and 999?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0535343956 rounded to 3 dps?\nAnswer: -0.054","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 538317 by -4173.\nAnswer: -129","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -77\/2, 6, 8, 0.3, -1\/7 in ascending order.\nAnswer: -77\/2, -1\/7, 0.3, 6, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.4 - -0.1. Let k = -0.009 - -0.429. Let j = m - k. What is j rounded to two decimal places?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.04 + 0.26. Let x = -6.1 - -6. Which is greater: p or x?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 14\/56 - (-5 + (-9)\/(-4)). Solve -w*o = -z + 4*z - 27, 19 = 3*o + z for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-90)\/(-15) + (-4)\/(-3)*933 a multiple of 50?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5)\/10)\/((-6)\/4)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 316762 and 1004?\nAnswer: 502","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1101 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the first derivative of 5\/2*w**2 + 4*w - 1\/3*w**3 + 9. Give i(4).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -15 - -22. Solve 0 = 5*k - o - 8 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1753686 is divided by 40?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -c - 3*c + 187 + 6*c.\nAnswer: 2*c + 187","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -1875173 times 0.018\nAnswer: -33753.114","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -88*f**3 + 12 with respect to f.\nAnswer: -264*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -84 + 96. Let g be f\/50*15*5. Let w be (-4)\/(-3) + (-60)\/g + 3. Calculate the highest common divisor of 3 and w.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = c - 4*c - 0*c. Solve c*s - 5*s - 10 = 0 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 4*n - 15 = 0, 4*c - 8*c = 5*n + 27. What is the remainder when (c - -4)\/((-1)\/(-56)) is divided by 15?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 831.9884 + -982.01. Let g = 150 + h. What is g rounded to two dps?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/16 of a millennium in months?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/(3 - 2) - -2*(3 + -2). Solve -5*h = -k*h + 2*a + 14, -2*a = -2*h + 6 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 3 + 1)*(2*d**2 + 5*d**2 + 11*d**2).\nAnswer: -18*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 73 is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 37425288533 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = s + 3*z + 1, -14*z + 12*z - 8 = -3*s. Solve s*j = -8, -2*j = 4*w - w + 17 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3165680)\/(-146978)*3*52\/24?\nAnswer: 140","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the second derivative of -u**3\/3 - 5*u**2 + 12*u + 2. Let k be l(-5). Solve k = -5*d + 5*n + 30, -2*d + 5*d - 10 = n for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from atattttattttttattt. What is prob of sequence att?\nAnswer: 91\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1550*f**4 + 235599*f**3 + 152*f**2.\nAnswer: -f**2*(f - 152)*(1550*f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*l + 1431 - 1421 = 5*n, -2*n + 4 = -5*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-d**2 + d**2 - d**2)*((2 - 4 + 0)*(3*d + 0*d - 2*d) - 2*d + d - 2*d + (0 + 2 + 1)*(-d + 0*d + 0*d)).\nAnswer: 8*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2679463?\nAnswer: 2679463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -340 divided by -68?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 735716 (base 12) to base 4.\nAnswer: 12322303002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 30115 + -20856. Let y(i) = 6 + 0 - r*i - 731*i - 12813*i. Let h be y(2). Round h to the nearest 1000.\nAnswer: -46000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 136284812?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1 + 2)\/((-2)\/6). Let c be (-2)\/s*18\/(-4). Let g(i) = -9*i**3 + 0*i**2 - 5*i + 3 + 10*i**3 + 2*i + i**2. Give g(c).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -k**2 + 36*k + 259. Let q be x(-6). Calculate the highest common divisor of 2 and q.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 69\/7696 and -17\/492063.\nAnswer: 7873008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -10.08810977 to the nearest integer.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-114)\/(-4))\/(16133\/2686 + -6)?\nAnswer: 3, 19, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -53\/170956 and -39\/427390?\nAnswer: 854780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = v**2 + 6*v. Let q be o(-6). Suppose -b + 1017 + 843 = q. Round b to the nearest 100.\nAnswer: 1900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 40*u + 13*u - 16*u + 83*u as p + b*u and give b.\nAnswer: 120","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 3*g + g, 5*p = 5*g - 25. Let k be (-2)\/(-8) - p\/12. Let z = -354 - -1769\/5. What is the closest to 1 in k, 3, z?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5 + 118. Is v a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.024+0.17\nAnswer: 0.194","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2149067.\nAnswer: 2149067","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*u**3 - 1 + 69*u**2 - 4 - 35*u**3 + 0.\nAnswer: -33*u**3 + 69*u**2 - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -8025 + 8016. What is the third smallest value in -4, -0.3, q, -20?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -16.6 + 15. Let c = u - -2. Let x = -7 + 7.3. What is the second biggest value in x, -4, c?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/4, -2\/7, 95 in decreasing order.\nAnswer: 95, 1\/4, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -3, -12, -27, -48, -75, -108, -147?\n\"Answer: -3*o**2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1205, 1151, 1099, 1049?\nAnswer: 1001","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put together 792 and -2.\nAnswer: 790","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -22 (base 10) to base 7.\nAnswer: -31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 0.1 (b) -2\/3 (c) 1 (d) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -5\/44 smaller than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the second derivative of x**4\/12 - 7*x**3\/6 + 7*x**2\/2 + x. Suppose 0 = -5*s + 14 + 16. What is the least common multiple of w(s) and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 44.12 - 40.12. What is the closest to -1\/3 in -3, -25, -4, v?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -14242, -58739, -133444, -238351, -373454?\n\"Answer: h**3 - 15110*h**2 + 826*h + 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 10540 and 340.\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 0.515971 nanograms?\nAnswer: 0.000000000515971","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -601249 - -113589.87.\nAnswer: -487659.13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -0.1, -2\/17, 3\/4, 11?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 48 is divided by 5 + 16 + 1*6?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = h + 17. Let k be y(-14). Suppose 4*j - 34 = z, j + 2*z = k*z + 7. Is j a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 84 = 4*f + 24, 57 = 5*f - x. Let z be (24\/(-4))\/((-4)\/f). Let k = z + -10. What is the units digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3 + 4)\/((-175)\/45 - -4). Let w(i) = -2*i**3 - 11*i**2 - 4*i - 16. Let f(y) = -y**3 - 10*y**2 - 5*y - 15. Let d(h) = -3*f(h) + 2*w(h). Calculate d(v).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbbbbbfbbbbbbfbbbbbb. Give prob of sequence bb.\nAnswer: 153\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -1632108 less than or equal to -1632116?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*o**4 - o**3 + 39*o**2 + 2 wrt o.\nAnswer: 72*o - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.022 in 4\/7, 5, 417.08?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -5*l**3 - 2*l**2. Let n(p) = p**3 - p**2. Calculate -b(k) - 2*n(k).\nAnswer: 3*k**3 + 4*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4 + -977?\nAnswer: -97b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that -z**2\/6 - 37786*z\/3 - 75569\/2 = 0.\nAnswer: -75569, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(7\/8)*h)\/(h\/(h*(h**(-21)\/h)\/h)))\/((h*h**(-27))\/h*h**(-1\/27)) assuming h is positive.\nAnswer: h**(1277\/216)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out 12 + 185474.\nAnswer: 185486","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/2 of a meter in centimeters?\nAnswer: 1350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(7)*2)**2 - (sqrt(175) - (-2 + sqrt(175))) - (sqrt(336)\/sqrt(3) - -1*(-1*sqrt(7) + sqrt(7))).\nAnswer: -4*sqrt(7) + 446","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -11, 387, 0 in descending order.\nAnswer: 387, 0, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 8\/(-10)*10\/4. Let k be 1 + -2 - (-10)\/4. Let j = 9260 - 18515\/2. What is the second biggest value in j, k, t?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -327, -650, -969, -1284?\nAnswer: -1595","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.8099*-1.703.\nAnswer: 1.3792597","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 181.8882ml?\nAnswer: 0.1818882","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -65ee (base 15) to base 4.\nAnswer: -11101133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = l**2 + 4*l + 6. Let o be a(-4). Is (495\/o)\/5*2 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1332\/42 - 2\/(-7). What is the highest common factor of f and 48?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14185*d = 14170*d - 60 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 19*t**2 - 20*t - 3. Let n be x(2). Let v(y) = -81*y - 33. Let j(a) = 10*a + 4. What is n*j(k) + 4*v(k)?\nAnswer: 6*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 162.2116nm in kilometers?\nAnswer: 0.0000000001622116","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(1\/11)*q*q**(2\/23))\/(q\/q**(-5)*q\/q**(-2\/13)*q) assuming q is positive.\nAnswer: q**(-22944\/3289)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 15*r**4 + 99*r**3 + 123*r**2 + 9*r - 30.\nAnswer: 3*(r + 1)**2*(r + 5)*(5*r - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.0268 + 4.327. Let w = f - 4.3. Round w to four decimal places.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -0.5 (b) -0.11 (c) -0.13 (d) -1508\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 2*c**2 + 2*c + 88. Let h(y) = -3*y**2 - 3*y - 141. Let k(q) = 8*g(q) + 5*h(q). Let f(b) = -8*b**2 - 6*b + 15. What is -f(a) - 6*k(a)?\nAnswer: 2*a**2 - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/20? (a) -2 (b) 0 (c) 2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r - 3*u = -5*r + 15, 0 = -4*r - 4*u + 231 - 235 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, -1\/30, 5\/4 in descending order.\nAnswer: 5\/4, -1\/30, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -397695 = -65*v - 50*v - 94210. What is the hundreds digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7 - 21. Let k(c) = -2*c + c + 2412 - 2416. Let a(h) = 4*h + 14. Let u(i) = l*k(i) - 4*a(i). Let d(v) = 2*v. Give d(u(j)).\nAnswer: -4*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let -y**3 + 309*y**2 - 14024*y + 13716 = 0. What is y?\nAnswer: 1, 54, 254","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h**5 - 245*h**4 - 2450*h**3 - 3960*h**2 = 0. What is h?\nAnswer: -36, -11, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 124543 is divided by 12453?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 350 and 12.\nAnswer: 2100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -54988178 divided by -7\nAnswer: 7855454","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that -2*r**3\/3 + 116*r**2 - 3010*r\/3 + 2200 = 0.\nAnswer: 4, 5, 165","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4823 + -4821. Solve -5 = 4*b - 1, -o*j - 3 = -b for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.0478295 + 0.2.\nAnswer: 0.1521705","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = -2*g - 62, 7*g - 4 = 3*g. Calculate the highest common factor of 4 and x.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 57275?\nAnswer: 5, 29, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -0.3*41862567\nAnswer: -12558770.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the first derivative of 13*c**3\/3 - 11*c + 12. Differentiate h(v) with respect to v.\nAnswer: 26*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 193447 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -6*v. Let p(z) = z**2 - 3*z - 13. Let f be p(8). Let q(t) = -t + 22 - 49 + f. Calculate q(k(x)).\nAnswer: 6*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 129203 + 124909 = -6479*u - 309561 for u.\nAnswer: -87","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = -3 - 5. Which is smaller: j or -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (3\/15)\/(32\/(-160)). Let j(o) = 12*o**2 + o - 2. Determine j(m).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from skdkddkd. What is prob of picking 1 s and 3 k?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -2ae939 (base 15) to base 4\nAnswer: -13322123121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17458322 is divided by 117.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 - -6)\/(780\/208).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -910 by -5.\nAnswer: 182","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 28\/(-182)*(-2002)\/440\nAnswer: 7\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 2\/19 and 68\/718293?\nAnswer: 13647567","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.9 + -1.8. Which is the nearest to -2\/5? (a) 2 (b) l (c) -8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1\/8336 + 157345\/25008. Let z = 4904 + -691450\/141. What is the common denominator of z and i?\nAnswer: 1128","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 r when two letters picked without replacement from araurauxaapwxxuauxr?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 312 and 38682111.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 551404 and 1222.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3*l**2*o**3 - 10*l*o**3 + 3*l - 410*o**3 wrt l?\nAnswer: -6*l*o**3 - 10*o**3 + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 595 minutes before 11:34 AM?\nAnswer: 1:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 0.41 + 3.5\nAnswer: 3.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 118904 and 1336?\nAnswer: 118904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7652 is divided by 220.\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 63 + -143. Calculate the lowest common multiple of (-384)\/m - (-4)\/(-5) and 48.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -140581452, -140581453, -140581462, -140581485, -140581528, -140581597?\n\"Answer: -x**3 + 2*x**2 - 140581453","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 14*j - 8. Let q(n) = 5*n - 3. Suppose 4*x = -3*d - 44, 1 = -d - 3. Let b(v) = -v**2 + 15*v - 11. Let a be b(14). Calculate a*l(m) + x*q(m).\nAnswer: 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -84 = 24*z - 52*z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25692 + 1030 = 62*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 t(h) = -h**2 + 5*h - 1. Let n be t(2). Suppose 0*k - n*k = -2500000. What is k rounded to the nearest 1000000?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -692 + 693.06. What is j rounded to 1 dp?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cllclll. Give prob of sequence cll.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 30 + 355?\nAnswer: 415","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -180\/18753511 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -71624, -143244, -214864, -286484, -358104, -429724?\n\"Answer: -71620*y - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 - (-1 + (-2 - (-6 + 2))).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(220) + 3*sqrt(220))\/(sqrt(110)\/sqrt(160)).\nAnswer: 32*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 743958\/373776 - (-15)\/(-8)?\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bp when two letters picked without replacement from {p: 1, u: 1, d: 1, b: 4, q: 5, x: 1}.\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 20 or 10\/5207?\nAnswer: 10\/5207","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 12 in -2146, 1, -4\/3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -p**2. Let m(j) = 10*j - 11. Let r = -6 + 4. Let n(w) = -2*w + 2. Let c(y) = -13*y + 2. Let b be c(1). Let i(q) = b*n(q) + r*m(q). Calculate o(i(s)).\nAnswer: -4*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 99996, 99994, 99992, 99990?\nAnswer: 99988","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = -3*u - 159 - 255, 3*q - 4*u - 412 = 0. What is the lowest common multiple of q and 140?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29059 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 q when two letters picked without replacement from {q: 4, d: 1, h: 1, y: 2, x: 1}?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5748 and 228?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.095 + -0.089. Let q = 0.994 + d. Which is the smallest value? (a) 1\/4 (b) -2\/19 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the third derivative of -5*g**8\/672 - 11*g**7\/210 - 19*g**6\/120 - 4*g**5\/15 - 13*g**4\/48 - g**3\/6 - 22*g**2. Suppose k(o) = 0. Calculate o.\nAnswer: -1, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of -64*(0 - (-28)\/(-8))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (16 - 2) + (-11 - (-1 - 2))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = n**3 - 23*n**2 + 101*n + 14. Let m be g(17). Let u be (-1)\/(-2) + 14\/(-12). Which is the closest to u? (a) m (b) 2\/3 (c) -2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 214 = -0*g. Suppose 0 = -4042*q + 4067*q - 575. What is the remainder when g is divided by q?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:48 AM and 11:33 AM?\nAnswer: 165","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 269 + -262. Let w(i) = i**2 - 9*i + 16. Let t be w(y). Put -0.1, t, 3, -0.01 in decreasing order.\nAnswer: 3, t, -0.01, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 - 5 = -3*c. Let n be (c\/(-3))\/((-2)\/(-3)). What is the third biggest value in -0.1, n, 6?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -90916 = -24*u + 51164. What are the prime factors of u?\nAnswer: 2, 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the second derivative of -w**5\/20 + w**2 + 30*w + 3. Calculate d(2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 189*d**4 - 3*d**3 + 3*d + 227. Let i(n) = -379*n**4 + 5*n**3 - 5*n - 454. Let x(y) = -3*i(y) - 5*t(y). Differentiate x(s) with respect to s.\nAnswer: 768*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10122?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = b**3 - 3*b**2 - 3*b + 6. Let w be a(5). Let s = 35 - 30. Suppose 3*i - 109 = 5*g, -s*i - 3*g + w = -3*i. What is the units digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19 + 0 - 6 + 3*z**2 - 13.\nAnswer: 3*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 14649 + -14718. Suppose -3*s = -3*q + 24, -2*s + 0*s - 4*q - 4 = 0. Let r be (-2)\/(s\/1) + (-253)\/y. Solve -j = r*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 53\/4800 and -151\/4800.\nAnswer: 4800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/(-12)*(-9)\/189*9?\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 15*n**5 - 150*n**4 + 396*n**3 - 114*n**2 - 651*n. Let q(j) = -3*j**5 + 30*j**4 - 79*j**3 + 23*j**2 + 130*j. Let l(c) = 5*a(c) + 24*q(c). Factor l(o).\nAnswer: 3*o*(o - 5)*(o - 3)**2*(o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31791 less than 8239?\nAnswer: -23552","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -18*a**3 + a**2 - 22*a - 11. Let f be n(-7). Suppose -f + 55566 = -2*t. Round t to the nearest 1000.\nAnswer: -25000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 9*x**2 - 13*x + 2. Let v(c) = 9*c**2 - 14*c + 3. Let u = 29 - 32. Let k(r) = u*y(r) + 2*v(r). What is the second derivative of k(z) wrt z?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 + 20\/5 - -11.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -239.56 + 214. Let r = f + 25. What is r rounded to one dp?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 - 13\/2*q + 1\/2*q**2.\nAnswer: q*(q - 13)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 0.5, -810 in decreasing order.\nAnswer: 0.5, -2, -810","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 6, d: 1, i: 2, f: 9, g: 1}. Give prob of sequence gnnn.\nAnswer: 5\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 12341 divide 2697236619?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ufufnedh. What is prob of sequence duhu?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) be the third derivative of b**8\/1120 + b**7\/840 + b**4\/12 - b**2. Let o(q) be the second derivative of k(q). Find the third derivative of o(c) wrt c.\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the second derivative of -j**8\/6720 + j**6\/1440 + j**3\/3 - 3*j. Let b(i) be the second derivative of l(i). Factor b(n).\nAnswer: -n**2*(n - 1)*(n + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(88) + (-2*sqrt(88) - sqrt(88) - sqrt(88)))\/sqrt(2)*6 + (sqrt(110) + (-3*sqrt(110)*-2 - sqrt(110)))\/((sqrt(60)*2)\/sqrt(6)))*-6.\nAnswer: 198*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - 0) + -11 + 10 + -4 + 18.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -54545 times -7?\nAnswer: 381815","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*p**2 - 5*p**2 + 6*p**2.\nAnswer: 15*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*n = 2*o - 9*n, 3*o - 4*n - 4 = 0 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1001101 (base 2) to base 15.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000197 to 6 decimal places.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -23*r**2 - 146*r + 146*r + 33*r**4 wrt r?\nAnswer: 792*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-4 - 2*n + 4)*(4 + 5 + 4) + 2*n + 0 + 0)*(-5 + 2 + 1) + (0 - 6 + 1)*((n - 5*n + 3*n)*(2 - 7 + 2) - 2*n - 2*n + 5*n) in the form t + s*n and give s.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -498*g**2 + 239*g**2 - 2*g + 293*g**2 + 3*g + g**3 as a + m*g**3 + r*g**2 + q*g and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -i + 17. What is the smallest common multiple of 22 and t(7)?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 1149317?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 20210012200021 (base 3) in base 4?\nAnswer: 31300121233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 12*c**2 + 3*c - 2. Let y be a(2). Suppose 2*m + 136*n - 224 = 134*n, 5*n + 189 = 2*m. Let d = m - y. What is the units digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a minute in milliseconds?\nAnswer: 36000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 22084524 and 837?\nAnswer: 279","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 18512069 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1 + 5. Let w = u + -3.7. Which is the smallest value? (a) 4 (b) w (c) 2\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 531400799.4 and 0.1.\nAnswer: 531400799.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 9\/2513044 and -45\/5026088.\nAnswer: 5026088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -39312 + 85150. What is the hundreds digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 21 = -2*u. Find the common denominator of (5 + -3)\/(3\/u) and 91\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -4*c**2 - 5*c + 2*c**2 + 2 - c**2 + c**2. Let t(n) be the second derivative of n**4\/3 + 11*n**3\/6 - 5*n**2\/2 + 4*n. Give 9*o(w) + 4*t(w).\nAnswer: -2*w**2 - w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 2 - 1 = -5*w, 0 = 2*w - 6. Suppose 0 = 5*a - 20, 4*s - 2*s - n*a + 6 = 0. Sort 0, 1, s, 3.\nAnswer: 0, 1, 3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 6 + 5\/(25\/5). What is the third derivative of 8 - q*f**6 + 13*f**2 - 8 wrt f?\nAnswer: -840*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yoyy when four letters picked without replacement from {g: 3, o: 1, l: 3, u: 2, y: 6}.\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the third derivative of -3*k**7\/35 - k**6\/120 - 19*k**4\/8 - 278*k**3 - 4*k**2 + 2*k + 31. What is the first derivative of n(v) wrt v?\nAnswer: -72*v**3 - 3*v**2 - 57","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1.872055 and -0.2.\nAnswer: -2.072055","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10\/4)\/(((-25)\/2)\/25)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -286 divided by -357?\nAnswer: 286\/357","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 0 + 201?\nAnswer: 201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*j**2 - 3*j**2 + 7*j**2)*(128 + 5 - 4)*(1 - 2 + 0)*(-4 + 1 + 4).\nAnswer: -903*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 2*a**2 - 9*a - 6. Determine x(4).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 148 is divided by 105.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 6856 * 575\nAnswer: 3942200","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 41163, 41306, 41651, 42300, 43355, 44918?\n\"Answer: 17*d**3 - d**2 + 27*d + 41120","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 190c5a (base 13) to base 10\nAnswer: 630445","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -99.1 + 99. What is the nearest to -0.1 in 1\/4, d, -0.2?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -5 + (-186)\/(-36) - 17\/(-6). Solve 0 = -k*t - 0*t + 9 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 49477 - 31419. List the prime factors of q.\nAnswer: 2, 9029","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from irrirriirrrrrrriri. What is prob of picking 2 i?\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -y**2 + 41*y + 316. Does 4 divide u(44)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2703540 to the power of 1\/2, to the nearest integer?\nAnswer: 1644","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 40 - 35. What is the smallest value in h, -2\/7, 1, -2\/9?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = c + 6. Let i(x) = x**2 - 6*x. Let p be i(5). Let g = p + -2. Let k be d(g). Put 1\/8, k, -1\/12 in descending order.\nAnswer: 1\/8, -1\/12, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1171*-10.\nAnswer: -11710","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 36.71934 millennia to years.\nAnswer: 36719.34","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -12.4944 * 7.43\nAnswer: -92.833392","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (256\/6 + -1)\/((-4620)\/1155) - -11.\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 9.47231 and 0.5.\nAnswer: 4.736155","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 0 - 98*b + 37*b - 6*b + 0. Let m(d) be the second derivative of d**3\/6 + 5*d. Give m(k(l)).\nAnswer: -67*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2 - 1020020?\nAnswer: -1020011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 12180?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 167290 is divided by 167265.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4 + 8. Let u be -11 - (-12 - 26\/(-39)). Which is the closest to 2? (a) 2 (b) i (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*o - 11*o + 5 = 0. Suppose -5 = -4*k - 4*a + 3, o*k + 3*a - 14 = 0. Suppose 0 = -3*r - k*q + 226, -q + 0 = -4. What are the prime factors of r?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000065049 rounded to 6 dps?\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -f. Let c = 23 - 22. Let g(j) = -1. Give c*g(a) + q(a).\nAnswer: -a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3\/4 or -13\/1096?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2641.01921 - -0.18079. Round a to the nearest 100.\nAnswer: 2600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 176441 and 8077614?\nAnswer: 2417","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 206727828 a multiple of 139?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-29 - (-4843)\/319) + 312\/(-143)\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 918764 is divided by 892.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 49\/(1470\/(-540))*(-2)\/20.\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 68 and -3048527?\nAnswer: -207299836","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4613 - 2695. Let c = 2992 - n. What are the prime factors of c?\nAnswer: 2, 3, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 246435599 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -109 + 112. Suppose 13*j = -y*j + j. Let r(d) = -10 - 3*d**3 + 7*d**3 - 3*d**3. What is r(j)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-40)\/((2 + 4\/(-4))*-1) is divided by 15.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 46 - ((62 - 80) + 23 + 2).\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -500*i - 51157. What is x(-107)?\nAnswer: 2343","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -196.378 + 196.878. Let s = 3.4 - 3. Sort k, -3, s in decreasing order.\nAnswer: k, s, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -10*f**2 + 6. Let n(v) be the second derivative of v**4\/12 - v**2\/2 - v. Suppose -m - 2 = -102. Let u = m + -99. Determine u*z(b) + 6*n(b).\nAnswer: -4*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.058463335 to 3 decimal places.\nAnswer: -0.058","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = 2*f, 3*f + 19 = -4*d - 0*f for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -39 - -43. Suppose n - 8 = -3. Solve 9 = n*l + k*f, -l - f = f - 3 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 65 * -3040.1.\nAnswer: -197606.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 556 + -542. Solve -m*k + 16*k = -2 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 48*r - 630. Give a(13).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -t**3 - 140*t**2 - 1544*t - 16. Give b(-12).\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -a**2 + 76*a + 239. Calculate k(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3024338 a multiple of 76?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:01 PM and 1:02 AM?\nAnswer: 181","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -2*p - 4*y, -5*p + 5*y + 2 = 4*y. Is 9 a factor of p\/(3\/78*1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*n + 50*n + 234. Calculate the remainder when (-15)\/n - (-27)\/6 is divided by 6.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) be the first derivative of s**6\/360 - 7*s**5\/120 - 5*s**4\/24 - 4*s**3\/3 + 3. Let i(p) be the third derivative of b(p). List the prime factors of i(-4).\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -o**2 - 6*o + 2. Let q(r) = 3*r**2 + 11*r - 5. Let a(y) = -5*n(y) - 2*q(y). Let u be a(7). Let p = u - -16. What is the units digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 193 (base 13) to base 7\nAnswer: 562","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2 - -2121?\nAnswer: 2112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and -9\/52 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 454 is divided by 222?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = -p + 36, -2*p + 18 = 3*g - 86. Let d = g - 28. Differentiate -d - 30*v + 41*v - 1 wrt v.\nAnswer: 11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -3*j - 4*j + 0*j + 6*j - 78 + 77. Let o(u) = 4*u + 9. What is -6*m(n) - o(n)?\nAnswer: 2*n - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*y + 5*l - 7, 4*y - 8 = l + 9. What is the smallest common multiple of y and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(1573) + -1 + -3 + 1 + sqrt(1573) + 2 + sqrt(1573))*-1)**2.\nAnswer: -1650*sqrt(13) + 353950","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -83, -168, -253, -338, -423, -508?\nAnswer: -593","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -281723, -563599, -845475, -1127351, -1409227, -1691103?\n\"Answer: -281876*q + 153","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*j**4\/7 + 4*j**3\/7 - 40*j**2\/7 + 48*j\/7.\nAnswer: 2*j*(j - 2)**2*(j + 6)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 5, n: 5, r: 1, z: 4}. Give prob of picking 2 n.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -1153.354233 rounded to 1 decimal place?\nAnswer: -1153.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 52804?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 156.5*4.\nAnswer: 626","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -4318725 >= -4318723?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5*c**3*z - 28*c**3 - 6*c**2*z + 3*c*z wrt c.\nAnswer: 30*z - 168","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0 and -122337.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8)\/50)\/(-4*(-91)\/130)?\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7 - -6. Is b + 3 - (-36 + -1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*h + 119 = 5*o, 169 = -2*o + 177 for h.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 6, t: 1, h: 1, k: 2, q: 3}. Give prob of sequence huu.\nAnswer: 5\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 21?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (7\/2 - -1)*(-44 + (-34268)\/(-780))?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4\/14*5663\/(-12944). What is the nearest to 0 in -0.3, -167\/5, 0.9, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3404312 + 8606*l - 3404312 to v + a*l and give a.\nAnswer: 8606","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2*l**2 + 1)*(0*l + 0*l + l) + 3*l**2 - 3*l**2 + 3*l**3 - 25*l**3 - 16*l**3 - 97*l**3.\nAnswer: -133*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2635 or -2647?\nAnswer: -2647","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 29 + -5. Let g = q + -24. Solve -2*n = -2*r - 8, 0*n - 3*n + 3 = g for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 1\/10 of a gram?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*c**3 + c**4 + 2*c**2 + c**2 + 0*c**3 + 5*c**3 as j*c**2 + v*c**3 + n + r*c**4 + b*c and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v - 47*l - 238 = 19*l + 420, 0 = 2*v + 4*l + 42 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 77c99 (base 15) in base 4?\nAnswer: 1130332230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (342\/513)\/((-4)\/(-3))?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 25873 - 5.\nAnswer: 25868","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 93996143?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*y - 140 = -42*y - 5*y. Let c(o) be the first derivative of -2\/5*o**2 + 0*o + 2\/3*o**3 + 1\/15*o**6 - 17 - 2\/25*o**y - 3\/10*o**4. Factor c(d).\nAnswer: 2*d*(d - 1)**3*(d + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -59 - -58 - (-16)\/(-14)*50\/(-40).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -13*v + 11. Let d be i(-9). Suppose -t + 10 = -6. What is the greatest common factor of d and t?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1\/79 + -83\/316. Sort -5, 140, r in descending order.\nAnswer: 140, r, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 24*w**2 + 2*w - 15*w**2 - 11*w**2 + 0*w**3 - 8 - w**3 in the form s*w + k*w**3 + z + i*w**2 and give z.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*k - 2*k + k**5 - 2*k**5 + 2*k**5 + 3*k**5 + (k - 2*k + 2*k)*(2*k**4 + 2*k**4 - 2*k**4) - k**5 + 0*k**5 + 3*k**5.\nAnswer: 8*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 14 + -8. Let t be (3 - 4) + n*1. Suppose t*u + 3*m = 420, 4*u + 3*m - 89 = 247. What is the greatest common factor of u and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 592 minutes after 8:46 PM?\nAnswer: 6:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -15, -0.4, 0.07, 1\/3 in descending order.\nAnswer: 1\/3, 0.07, -0.4, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*c*d**2*n*t**3 + c*d**2*t - 5*c*d*n**2*t**3 - 13*d**2*n**2 + d**2 - 5*d*n*t**3 wrt n.\nAnswer: -10*c*d*t**3 - 26*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -o**2 - 12231*o + 24453. Calculate y(2).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 2*k + 429 = 0. Is 13 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1123*y + 3981 = -7249 for y.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Total of 2.421317396 and -3629.\nAnswer: -3626.578682604","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -4, 57\/5, -1\/3, -5\/94.\nAnswer: -5, -4, -1\/3, -5\/94, 57\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3686?\nAnswer: 2, 19, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 128744\/4180*(-16)\/(-88)*20.\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -4*q**2. Let d be (-5)\/10*0\/(-4). Let j(s) be the second derivative of d + 1\/12*s**4 - 2*s + 0*s**2 + 0*s**3. What is j(w(p))?\nAnswer: 16*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -142019784 minus 0.1?\nAnswer: -142019784.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 10 + (-2)\/((-10)\/15). What is i rounded to the nearest 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = 4*a + 283, 0 = 5*a - a - 4*t + 280. Let j = 117 + a. Is j - (-4)\/(-3)*3 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 178, 180, 184, 190?\n\"Answer: u**2 - u + 178","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -34.594804 + 1.588744. Let l = -0.107 - -33.107. Let i = g + l. Round i to three dps.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 58*t**2 - 71*t - 12. Give b(-4).\nAnswer: 1200","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxnnxdddtxdt. Give prob of picking 1 t, 1 n, and 1 d.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 550884 and 1305.\nAnswer: 8263260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 2 (b) 0.35 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (47\/(41360\/96))\/(-24*(-15)\/225)?\nAnswer: 3\/44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 15 - 14.7. Which is the third biggest value? (a) s (b) 6 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the first derivative of -8\/7*t**7 + 0*t**5 + 0*t + 0*t**4 - 1 + 8\/3*t**3 + 0*t**6 + 0*t**2. Find the third derivative of w(s) wrt s.\nAnswer: -960*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and -1\/128410 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*l = -1 - 281. What is the greatest common factor of 235 and l?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-12)\/24*2\/2. Which is the closest to t? (a) -0.4 (b) -0.2 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -50*q**3 - 52*q**3 + 100*q**3.\nAnswer: -2*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*d + 2*k - 7*k + 250, -4*d + 254 = 3*k. Suppose 4*a = -a + d. What is the units digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/522249 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**4\/2 + 7*f**3 + 18*f**2 + 17*f + 11\/2.\nAnswer: (f + 1)**3*(f + 11)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -6\/9542875?\nAnswer: -6\/9542875","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 113656 is divided by 2766.\nAnswer: 250","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -559*k**3 + 2*k + 2. Let z be p(-1). Let f = 232 + z. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u, 1 d, and 1 k when three letters picked without replacement from {p: 1, w: 2, b: 2, k: 1, d: 1, u: 1}?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g = -5*g + 3*w + 21, 2*g - 5*w + 3 = 0. Let h = g - 2. Suppose -h*t + 4*n - 6*n = -82, 84 = 4*t + 4*n. What are the prime factors of t?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -27544 divided by -2504.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 times 43783410?\nAnswer: -4378341","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 3, e: 3, q: 2, t: 2, f: 1, x: 3}. What is prob of picking 1 f and 1 t?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.0139 - 0.7651. Let x = -420.479 - r. What is x rounded to the nearest ten?\nAnswer: -420","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 0.3279362ug?\nAnswer: 327.9362","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 9, 33, 65, 99, 129, 149, 153?\n\"Answer: -q**3 + 10*q**2 + q - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1127.\nAnswer: 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-30)\/18)\/(2\/(-6)). Suppose -35 = -d*h - 0*q - 3*q, 5*q = 2*h + 17. Calculate the highest common factor of h and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -110110111110 (base 2) in base 11?\nAnswer: -2709","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:11 PM and 7:15 PM?\nAnswer: 184","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 35*a**4 + 30*a**3 + 634*a - 160*a**2 - 455*a + 5*a**5 - 339*a.\nAnswer: 5*a*(a - 2)*(a + 1)*(a + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2*(-9)\/(-30))\/((-2493)\/(-540) - 28\/6).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*t - 19*t + 49 = 4*f, -2*f - 3*t + 27 = 0. Let l(o) = 48*o**3 + o**2 - 2*o + 1. Let w be l(1). What is the highest common divisor of f and w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = 3 + 12. Suppose 15 = 2*a + o*a, 0 = -s - 5*a + 17. Solve 0*r = -s*w - 2*r + 4, 5*w - 3*r = 18 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nn when two letters picked without replacement from {n: 2, y: 3, i: 2, s: 1, m: 3, t: 1}.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 4 = -2. Let x(a) = a + 2. Calculate the least common multiple of 2 and x(k).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8854849099 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 85*s - 81. Let n be r(7). Suppose 6*z = 5*z + n. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/4*2 + 1. Let b be 2\/(4\/(-2)) + h. Is 0 + (0 - b - -68) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -2*l + 3. Let f(t) = t + 1. Let s(g) = 1. Let p(b) = -f(b) + 2*s(b). Give 4*i(z) - 10*p(z).\nAnswer: 2*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 76909*i**3 - 2*i**2 - 106850*i?\nAnswer: 461454","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -214*k**3 - 339*k**2 + 791181*k.\nAnswer: -1284*k - 678","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 928 a factor of 4050805?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-414)\/27 - 2\/(-6). Let a = -14 - i. What is the units digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 752 and 7379.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -90*g + 372*g**3 + 43*g + 5 - 6 + 48*g.\nAnswer: 372*g**3 + g - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the third derivative of -29*p**4\/8 + 77*p**3\/6 + 14*p**2 + 2. What is the first derivative of i(k) wrt k?\nAnswer: -87","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16755860 a multiple of 110?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 212015*y**2 - 43*y + 16328065?\nAnswer: 424030*y - 43","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 205 = 3*u, 412 + 613 = -5*w - 5*u. Let q = -74 - w. What is the hundreds digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 85, 124, 163, 202, 241, 280?\n\"Answer: 39*a + 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = -1 + 11. Suppose -b*t = -4*t. Suppose 4*o + 95 - 307 = t. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -230700 rounded to the nearest 10000?\nAnswer: -230000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -16*l**2. Let w(g) = -49*g**2. What is w(b(m))?\nAnswer: -12544*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = 3*o + 6. Suppose 0 = -n - n - 10, -4*h = -o*n - 11. Let f(a) = -8*a**3 + 2*a**2 + a. Give f(h).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*p - 3*s + 21 = p, 3*p + s + 21 = 0. Let k(a) = 8*a**2 + 8*a + 10. Let m be k(p). Let q = 837 - m. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in -3, -43, 3, 11, -2.3?\nAnswer: -2.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -311365*f**5 + 39*f**4 + 8*f**2 - 3077703*f - 5 wrt f.\nAnswer: -18681900*f**2 + 936*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*c**3\/9 + 16*c**2\/3 + 46*c\/9.\nAnswer: 2*c*(c + 1)*(c + 23)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -340*h**2 - 959*h**2 + 314*h**2 in the form d + a*h + c*h**2 and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d = 5*z - 4 + 8, -4*z - 2 = -2*d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -15*a. Let b be m(-2). Let h(q) = -q**2 + 2*q + 7. Let u be h(5). Let y = u + b. Calculate the remainder when y is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5791a (base 15) to base 12\nAnswer: 115414","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20148934.\nAnswer: 2, 13, 774959","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 129*d**2 + 864*d + 40. Determine g(-7).\nAnswer: 313","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-156*z - 3 + 269*z + 2)*(3 + 6 + 2 + (1 - 2 + 0)*(4 - 2 + 0) + 0 + 4 - 6 + 2 + 0 + 0 - 1 + 1 - 1).\nAnswer: 904*z - 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 149\/24 and 127\/48?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.2 + 14.8. Let c = t + -15. Let w = 6258 - 6253. What is the smallest value in w, 1, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 103.089945336 - 0.7.\nAnswer: 102.389945336","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*n**2 - 2*n + 2*n - 11001.\nAnswer: -18*n**2 - 11001","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26969.\nAnswer: 149, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 128273309 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*w - 66*w - 24*w)*(11*w + 43*w - 41 + 41 - 4*w).\nAnswer: -4350*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -1666400, -3332805, -4999212, -6665621, -8332032, -9998445, -11664860?\n\"Answer: -z**2 - 1666402*z + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 25782751 to the power of 1\/3, to the nearest integer?\nAnswer: 295","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -26*x**3 + x**2 - 219 wrt x?\nAnswer: -78*x**2 + 2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 319, 631, 935, 1225, 1495, 1739?\n\"Answer: -b**3 + 2*b**2 + 313*b + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 43\/130 + 110\/(-220) and 79\/170?\nAnswer: 2210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2219186 to the nearest integer?\nAnswer: 1490","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t**2 + 118*t - 697. Let s(x) = 5*x + x**2 + 10*x - 3*x + 14 + 0*x. Calculate the remainder when k(6) is divided by s(-13).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3659 + 2420. Is -1240 greater than s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 25 = -5*k, 9 + 3 = k - 2*l. Suppose k*r = -4 - 12. Let b = -8 - r. Solve 4*o + 1 - 13 = b for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.011 minus 1618564531040?\nAnswer: -1618564531039.989","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/1 - ((-1)\/1 - 3). Let m(y) = q*y - 7*y + 30 - 8*y. What is the hundreds digit of m(-10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 57721970 to the power of 1\/7, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 67054.3 to the nearest 1000.\nAnswer: 67000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -40*d**2. Let i(q) be the first derivative of 2*q**2 - 7. Calculate w(i(p)).\nAnswer: -640*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 80 = -2*d, -2*d = -3*s - 2*s + 73. Let q = d + 38. What is the tens digit of 156\/1 - (0 - 3 - q)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -8*n**3*z + 2*n**3 - 18*n**2*z - 9*n**2 - 11*n*z + 78*n + 2 wrt n.\nAnswer: -48*n*z + 12*n - 36*z - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 7*k**2 - 7. Let v(y) = y**2 - 1. Let n(m) = -j(m) + 6*v(m). Let h be n(-1). Let a be 18 - (2*-1 - h). What is the highest common factor of a and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -d**5\/2 - 245*d**4\/2 - 16903*d**3\/2 - 60399*d**2\/2 + 8391060*d - 83965950 = 0. Calculate d.\nAnswer: -111, -82, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -8*k**2 - 343*k - 33. Give z(-43).\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -289*i = -239*i + 400 for i.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2, 0.1, -32076, 0?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46*n - 9 = 12*n - 77 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1332 divided by 3?\nAnswer: -444","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 15, 45, 87, 135, 183?\nAnswer: 225","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 49292909 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 2*r**2. Let p(b) = -5*b**2 + 26*b + 7. Let k be p(5). Suppose 6 = -3*m + 3, 2*m = -4*v + 34. Let z(d) = k*d - v*d - 4*d. Determine z(t(n)).\nAnswer: -2*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 15321*f**2 - f - 2. Let x be i(4). Let u be ((-3)\/(-2))\/(6\/(-1619480)). Let k = u - x. What is k rounded to the nearest 100000?\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1450 - 1379. What is the remainder when u is divided by 60?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t**3 - 30769350*t**2 + 61538703*t - 30769352 = 0.\nAnswer: -30769352, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -165*x - 24 = -177*x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -6, 3.2 in descending order.\nAnswer: 3.2, -2, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1)\/3 + 555\/(-9). Let j be l\/(-4) + (-4)\/8. Let t = j + -8. What is the remainder when 13 is divided by t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -p**3 - 5*p**2 - 6*p - 5. Let q(g) = g**2 - 21*g + 18. Let y be q(8). Let d = 82 + y. Calculate b(d).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = w**3 - 6*w**2 + w - 7. Let k be p(6). Let z = 1 - k. Suppose 2*y - z = 20. List the prime factors of y.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = r**3 + 18*r**2 - 1781*r - 16789. Give l(-9).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*(h\/h**(-2\/15))\/h*h*h*h**(-2\/5)\/h)**(-50) assuming h is positive.\nAnswer: h**(-260\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a = 2*q - 10 + 1, -2*a + 0*a + 5*q - 17 = 0 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -2*x + 4. Let i be v(1). Suppose -2 = 2*m, -7*r + i*m = -2*r - 67. Calculate the remainder when 333\/6*(-4)\/(-6) is divided by r.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) -1 (b) -0.81 (c) 84\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -41959339\/5 at least -8391867?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = b**2. Let t(y) = 2*y**2 - 36*y + 24. Let q be t(-14). Let f(p) = -q - 79*p + 920. Determine f(j(w)).\nAnswer: -79*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 18 - 5. Suppose 3*d - 5 = -5*k, 5 + r = 2*d - 4*k. Let p(a) = 2*a**2 + a + 4. Is p(d) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = l**3 - 28*l**2 + 29*l - 34. Let g be j(27). Suppose -4*y = -g + 12. Find the first derivative of -16*o**2 + 22 - 12 + 0*o**y wrt o.\nAnswer: -32*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 - 180 = -33*x. Solve -7*l = -15 - x for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -83\/36 and -173\/180.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = 5*r + 5*m + 4, -4*m + 49 = -r. Let o = -18 - r. What is the highest common factor of o and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-g**2 - 2*g**2 + g**2 + (0*g + 0*g - 3*g**2)*(4 - 4 - 2))*(-g + g + 2*g)*(-3 + 36 - 8) + (g - g - 2*g)*(-2*g**2 + 3*g - 3*g).\nAnswer: 204*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 38*k = -738. Let x(l) = 28*l - 1. Let t be x(1). Calculate the greatest common factor of t and k.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -13a + 0?\nAnswer: -13a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -57 - -25. Let v be 2\/(-8)*f\/(-12). Is -7 at least v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*z - 90 - 81 + 177 - 2*z**3 - z**2 - 2*z**4 + z in the form u*z**4 + c*z**3 + n*z + p*z**2 + t and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 147\/14*(-6)\/(-9). Let t(o) = -o**3 + 3*o**2 + 38*o - 11. Let s be t(-5). Sort b, 4, s.\nAnswer: s, 4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*v - 2142 = -20*v. Suppose 36*z - 43*z = -v. What is the units digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*r + 11*r = 48. Let d(k) = k + 90. Suppose -o = 2*o - 126. Calculate the remainder when d(r) is divided by o.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -m + 21. Let k be x(18). What is the highest common factor of k and 27?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = u. Suppose -3*r + 4 = -r. Let q be f(r). Suppose -83*p = -85*p - 8. Sort -3, p, q in decreasing order.\nAnswer: q, -3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5*i**2*n**3 + 2*i**2 - 3452*i*n - 6089*n**4 wrt n.\nAnswer: 30*i**2*n - 73068*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*s - 15 - 6. List the prime factors of (-2)\/s + 1260\/49.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 221074*h**3 + 107658?\nAnswer: 663222*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -4*414\/(-288) + (-7 - 0)\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) be the third derivative of -r**5\/30 - r**4\/24 + r**3\/6 - 2*r**2. Let z be j(1). Calculate the remainder when z\/6*0 + 27 is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in one quarter of a meter?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 0, -26, -32, -3, 7, -7 in increasing order.\nAnswer: -32, -26, -7, -3, -1, 0, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 303, 321, 337, 351, 363, 373, 381?\n\"Answer: -n**2 + 21*n + 283","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that 3*z**5 + 51*z**4 + 192*z**3 + 144*z**2 = 0.\nAnswer: -12, -4, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -93572.81 to the nearest one hundred.\nAnswer: -93600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-63)\/6 - (-1)\/2. Let o be 1\/c - (-4)\/(-10). What is the closest to o in 5, -0.4, 1\/3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.01 - -0.61. Suppose 2*x = -0*s - 2*s, -4*x + 4*s = 0. Suppose v = -x*v. Which is the closest to v? (a) -3 (b) -2\/7 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 8.1 + -8. Which is the nearest to -0.1? (a) 2 (b) v (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -93 + 60 + 33 + 420*x**3 + 275*x**3 - 701*x**3.\nAnswer: -6*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that -16*o**4\/5 - 212*o**3\/5 + 412*o**2\/5 - 124*o\/5 - 12 = 0.\nAnswer: -15, -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -20324 (base 5) to base 6\nAnswer: -10111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 838.\nAnswer: 2, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 79656, 81868, 84080, 86292, 88504?\n\"Answer: 2212*r + 77444","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56 = 3*z + 293. Let v = -47 - z. What is the greatest common factor of v and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -137 - 187 = -36*u. Let s(t) = 4 - u*t - 14 + 24*t + t**2 - 22*t. Calculate s(8).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-48)\/9)\/4*(-7)\/56.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Do 31\/3 and 10 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-35\/6)*t**(-4\/3))\/(t**(-2\/19)*t*t**(-41)))**(-38) assuming t is positive.\nAnswer: t**(-3755\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -11014*t**3 + 28*t - 428331?\nAnswer: -33042*t**2 + 28","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rer when three letters picked without replacement from {r: 2, p: 2, d: 2, e: 3}.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 360, 6, 5 in descending order.\nAnswer: 360, 6, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.103 or 75895?\nAnswer: 75895","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -985.14629 and -0.4?\nAnswer: 394.058516","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(1\/3))**(-1\/3)\/(w**7\/w*w*w**(-2\/11)) assuming w is positive.\nAnswer: w**(-686\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (33 - 30) + 8 + (2 - 34).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3458026597 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 4179113 a multiple of 81?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 970 a factor of 8608750?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -231612, -231629, -231658, -231699, -231752?\nAnswer: -231817","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -3 (b) -1 (c) 0.12 (d) 2\/7 (e) -6042\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000027604 to 7 dps.\nAnswer: -0.0000028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the first derivative of j**7\/70 + 27*j**2\/2 + 21. Let l(a) be the second derivative of p(a). Factor l(w).\nAnswer: 3*w**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z and 1 h when three letters picked without replacement from zzzzzzzzzzzzh.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (2\/20)\/(156*75\/321750)\nAnswer: 11\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 53*z**3 - 3*z**2 + 3*z + 3. Let l(j) = 18*j**3 - j**2 + j + 1. Let g(o) = -8*l(o) + 3*u(o). Give g(-1).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -2*x**2. Let m(r) = 3546*r**2 + 3*r - 20. Calculate m(g(t)).\nAnswer: 14184*t**4 - 6*t**2 - 20","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -16.5 + 22. Let s = n + -5.5014. What is s rounded to 4 dps?\nAnswer: -0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-14)\/546)\/((-4)\/24)?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(405)*1 + -3 + 3*sqrt(405) + -4 + 1*(0 + sqrt(405) + 1)*-3)*4)**2.\nAnswer: -2880*sqrt(5) + 8080","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 0.01 (b) -3 (c) 2 (d) 3\/65\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 3 + 1 = 4*b, -5*a + 1 = b. Solve 22 = -3*g - 5*h, a = -3*g - h - 11 - 3 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7 - -14. Suppose o = x + 7. Suppose p = 5*t + 10 - 0, 0 = -p + 3*t + o. Calculate the highest common divisor of p and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/q**(2\/37))\/(q**(-38)\/q))\/(q**2\/(q\/(q\/(q*q\/(q*q\/q**2*q)))*q)) assuming q is positive.\nAnswer: q**(1478\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 32*s - 156. Give k(0).\nAnswer: -156","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 8\/19 smaller than -0.4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/(s*s*s**(-13)))\/s)**(-15)\/(s**(-1\/8)*s**(7\/5)) assuming s is positive.\nAnswer: s**(-6651\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(165)*2 + sqrt(165) + sqrt(165))*-2 - sqrt(165))\/(sqrt(11) + sqrt(176)*2))\/((2*sqrt(315))\/(4*sqrt(14)\/sqrt(2) + sqrt(7))).\nAnswer: -5*sqrt(3)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 3*l - 2 = 2*x, 2*l = x + 7. Suppose -l*u - 12 = -22. Let p be -1 + u + (-2 - -2). Solve 4*b - 28 = 4*f - 0*b, -3*f - 7 = p*b for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 4, a: 1, e: 4, l: 2}. Give prob of picking 1 l, 2 y, and 1 e.\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 17, -3, -8 in descending order.\nAnswer: 17, 4, -3, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32 = 9*w - 17*w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -22769, 4, 2, -5, -1 in increasing order.\nAnswer: -22769, -5, -1, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = r**3 + 8*r**2 + 116*r + 813. Let p be v(-7). Calculate the greatest common divisor of 31800 and p.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*h + 6 = -5*h. Suppose 8*x - 35 = h*x. What are the prime factors of 310\/6 + x\/21?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = n**3 + 14*n**2 - 204*n - 100. Is k(29) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence grg when three letters picked without replacement from {g: 5, d: 5, r: 2, h: 3, l: 1}.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -23*c + 141. What is the units digit of b(5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*f + 477000 = 22*f. Round f to the nearest one hundred thousand.\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -861805, -861813, -861835, -861877, -861945, -862045, -862183, -862365?\nAnswer: -862597","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 40 - 29. Let m(w) = 4*w**2 - 14*w - 3. Let n be m(c). Suppose 0*q - n = -3*q. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the third derivative of 0*u**3 - 11\/24*u**6 + 3\/4*u**5 - 51*u - u**2 + 5\/12*u**4 + 0. Suppose z(x) = 0. What is x?\nAnswer: -2\/11, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 4*i + i + 40 = 0, 5*t + 2*i - 17 = 0. Suppose -2*b + b + t = 0. What is the highest common factor of 5 and b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that 1\/5*a**5 - 4\/5*a**3 - 4\/5*a**2 + 0*a + 1\/5*a**4 + 0 = 0.\nAnswer: -2, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5\/16, 87, 2\/7, -0.4 in decreasing order.\nAnswer: 87, 5\/16, 2\/7, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 102509 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) be the second derivative of -o**4\/12 + o**3 + o**2 + 3*o. Let a be (0 + -2)\/(-1) - -3. What are the prime factors of c(a)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/42 in -6, -1, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5 - -2. Let t(h) = -h**2 - 3*h + 3. Let m be t(o). Suppose -15 = -m*z - 3*d, -4*z = -2*d - d - 48. What is the remainder when z is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -4, 81, -5, -2\/11, -82, 0.4?\nAnswer: 81","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*sqrt(5472) + sqrt(5472))\/(((sqrt(18) - sqrt(18)*1)\/sqrt(9) - sqrt(2)) + sqrt(2) + sqrt(2)))**2*5 + 3.\nAnswer: 218883","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -127*z**2 + 860*z**2 + 878*z**2.\nAnswer: 1611*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -126, -248, -370, -492, -614, -736?\n\"Answer: -122*f - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1332 - 6*h**2 + 649 + 6*h**2 + 6*h**3 + 683.\nAnswer: 6*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 27479 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -2*v**3 + v**2 - 1. Suppose 0*h = -h + 2. Suppose 5*j + h = 3*l, 0 = 5*l - 4*j + 1 - 0. What is the remainder when s(l) is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 686 - 352885?\nAnswer: -352188","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: ((-356)\/(-4094))\/(665\/874)\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 103 divide 4190 + 30\/(-35) + 342\/(-42)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/25? (a) -4\/7 (b) 1877 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 24534959?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 622 to the power of 1\/2, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 16\/72 + 595\/(-315)\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 227248 - -20?\nAnswer: 227268","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 33.09 - 33.59. Let l = -0.44 - -0.04. Sort -5, l, v, 2\/7 in increasing order.\nAnswer: -5, v, l, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 10 (b) -1 (c) 5\/6 (d) -2\/3 (e) -37 (f) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -76 + 81. Suppose -c + 5*o = -32, 4*o + 74 = 4*c + 2*o. Let l(v) = -v**3 + 17*v**2 - v + 18. Let i be l(c). Solve -k*p + 4*p - i = 0 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 4*j**3 - 3*j**2 + 4*j. Suppose 2922 = 113*q + 2470. Let z(f) = 9*f**3 + 7*f - f**3 - 5*f**2 + 0*f**2. What is q*z(i) - 7*b(i)?\nAnswer: 4*i**3 + i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -138 plus 232785?\nAnswer: 232647","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 317, 375, -5 in descending order.\nAnswer: 375, 317, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 201, 652, 1353, 2304, 3505, 4956?\n\"Answer: 125*x**2 + 76*x","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*f - 2*f - 5*f - 5*f - 6*f.\nAnswer: -15*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -851557 plus 60?\nAnswer: -851497","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -5*x - 32 + 41 - 26 - 12*x + 51*x**3 + 17*x**2. Let h(w) = 17*w**3 + 6*w**2 - 6*w - 6. Determine -17*h(r) + 6*y(r).\nAnswer: 17*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 5\/8 of a meter?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2933772109?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 228 a factor of 2404032?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 7144*k**2. Let r(c) = -516*c. Determine r(v(m)).\nAnswer: -3686304*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(-2\/27)\/((n*n\/(n\/(n\/(n*n\/((n\/(n**(1\/4)*n))\/n))*n)))\/n)*n**(-16)\/(n\/(n**(2\/35)\/n)) assuming n is positive.\nAnswer: n**(-63379\/3780)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -90654.0003 - -90660. Let i = 6 - v. Round i to four dps.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -33*q**3 + 4*q + 10. Is f(-3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = f + 21. Calculate i(-16).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of -36 and -0.159.\nAnswer: 5.724","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*i + 6 - 18. Suppose i*r = 19 - 7. Let m(o) be the second derivative of -o**4\/12 + 5*o**3\/6 - o**2 + 2*o. Calculate m(r).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 5, d: 2}. What is prob of sequence kdd?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 3*x**2 - 3*x. Let t be d(2). Suppose 6 + t = 4*f. Let o = 2.2 - 3.2. Which is the nearest to o? (a) -0.5 (b) -2\/7 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1921938, -1921943, -1921958, -1921989, -1922042?\nAnswer: -1922123","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2571 + 4800. What is the units digit of c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 738544.7 decades in months?\nAnswer: 88625364","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -100 + 100. Suppose b = -5*o + 2*a + 13, 3*o - 4*a - 4 - 1 = 0. Is o a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*p + 6*p = 0. Suppose -l + 5*l + 36 = p. Does 23 divide 2\/(-9) + (-209)\/l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15\/6*(-5)\/((-50)\/12)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 386528.7 years?\nAnswer: 386.5287","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -261 - -436. Let r = 176.545 - t. Let a = r + 0.055. Which is smaller: a or 4?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.261 and -5.\nAnswer: -1.305","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 5 (b) -1546 (c) 0.2 (d) -0.04 (e) 1\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 143630512.2ns in weeks?\nAnswer: 0.0000002374843125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2538172*j**4 - 25*j**2*n**2 + 67585*n**2 - 375 wrt j.\nAnswer: 10152688*j**3 - 50*j*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange w**3 + w - 1 + 5*w**3 + 5*w**4 - 6*w**3 to the form g*w + b*w**2 + f*w**3 + r + x*w**4 and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20534883 is divided by 2089?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - (2 + (6 - 7))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) be the first derivative of v**3\/3 - 75. Let g(s) = -9*s**2. Let r(l) = -9*l**2. Let m(h) = 5*g(h) - 6*r(h). Give x(m(k)).\nAnswer: 81*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 144 + -144. Suppose 4*l + 5*m - 4*m = 23960004, h = -3*l + 4*m + 17969984. What is l rounded to the nearest one million?\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = -17 + 81. Suppose 0*t = 2*t + i. Let o = t + 21. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -191.3 plus -27111?\nAnswer: -27302.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5 + -2. Suppose 0 = -a - 4*a - 10. Let d = a + -2. Put j, d, 4 in decreasing order.\nAnswer: 4, j, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3050*d + 36 = -s + 3055*d, -2*d + 31 = -17*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = 3*u - 4*o + 392, 25 = 5*o. Let f be (1 - 0)\/((-8)\/u). Solve 4*i + 4*q + f = -19, 2*i - 2 = 2*q for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 146456 is divided by 201?\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 1 + 0)*(-15 + 6*r + 0*r - 4*r) as z*r + w and give w.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1547?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((v\/(v\/v**(-1\/21)))\/v)\/v*v)\/v*v\/v**(6\/13)*v)\/(v**(-3\/19)\/(v*v**(-28)\/v)) assuming v is positive.\nAnswer: v**(-147058\/5187)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 5152 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 912805167 to the power of 1\/2, to the nearest integer?\nAnswer: 30213","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 98 is divided by 67\/2 - 14\/84*-3?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 2 = -4*x - 14, 2 = -3*x + f. Is x > -11\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5b (base 12) in base 13?\nAnswer: -56","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -57*d - 34*d - 9*d = -2300 for d.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -w**3 - 427*w**2 + 50344*w - 1241612.\nAnswer: -(w - 62)*(w - 38)*(w + 527)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) be the third derivative of -v**7\/21 + 749*v**6\/60 + 181*v**5\/6 + 151*v**4\/12 - 6561*v**2. Find b, given that i(b) = 0.\nAnswer: -1, -1\/5, 0, 151","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*x + 2*x + 24 = 0. What is the remainder when 22 is divided by x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12 - 26 - 11)*(0*l**5 + 5*l**5 - 3*l**5).\nAnswer: -98*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -5181*q + 1781. Is x(-26) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 21 (b) -3\/7 (c) 5 (d) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*d + 28 + 22 = 0 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1947.4 + -1952.4. What is the nearest to 3\/65 in v, 4\/5, 3?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12213*f**2 + 20490*f**2 + 2*f - 1 + 6001*f**2.\nAnswer: 38704*f**2 + 2*f - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 16639?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 1827.1419 to zero decimal places.\nAnswer: 1827","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 5b (base 15) in base 13?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 228262819 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 14606*d**5 - 63*d**4 - d**2 - 3800636*d + 12?\nAnswer: 292120*d**3 - 756*d**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 153aa (base 14) to base 10\nAnswer: 52874","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 98 divided by 7?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**8\/k**(-4\/7)*k**(-3\/5)*k*k**(-2\/15)\/k)\/(k**(2\/13)*(k**(2\/5)*k)\/k*k\/(k*k**(2\/5))*k**(-3)) assuming k is positive.\nAnswer: k**(14584\/1365)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.3 in 2\/7, -2\/5, 119\/3?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.042 (b) 0.15 (c) -0.11 (d) -2 (e) -13\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 58.6644 * -3.\nAnswer: -175.9932","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = -3*c + 4*s, c - 57*s + 56*s - 2 = 0 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 113 - ((2 - 15) + (-158 - -160))\nAnswer: 124","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**3*x*x**4)\/(x*(x*x**(-1\/2))\/x*x)**25)**(5\/9) assuming x is positive.\nAnswer: x**(-295\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 4, h: 1, x: 1, a: 2, c: 1}. Give prob of sequence cl.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pfibfppfilf. Give prob of picking 1 f and 1 i.\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -58*y**2 - y + 2. Let r(p) = 3848*p**2 - 142*p - 1. Let n(v) = -r(v) + 5*s(v). Find the second derivative of n(a) wrt a.\nAnswer: -8276","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 48567441 to the nearest integer?\nAnswer: 6969","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, 0, -2, 2, 397 in descending order.\nAnswer: 397, 2, 0.3, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -7 at least as big as -14758?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -d - 6. Let j be k(-7). Let v be -2 + (19\/114 - (-14)\/(-12)). Sort -7, v, j, 0 in descending order.\nAnswer: j, 0, v, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 34 + 3*o - 34 + (2 + 0 - 1)*(o + 0 + 0) + (3 - 3 - 1)*(0*o - 4*o + 5*o) to t + h*o and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2023 and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 76128796*u**4 - 2*u**2 - 1796948 wrt u.\nAnswer: 1827091104*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 36 and 5625?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-58)\/4)\/(7\/(-28)). Suppose -n = 3*q + 5*t, 0*q - 4*t - 24 = q. Find the common denominator of (-1)\/(-2) - (-35)\/q and -71\/10.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3720 divided by -6?\nAnswer: 620","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -70 - -74. Solve 0*q = v*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -68, -208, -448, -794, -1252, -1828, -2528?\n\"Answer: -f**3 - 44*f**2 - f - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*u - 502 = -760*r + 761*r, -9*u = -378 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 228654 and 231.\nAnswer: 17606358","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 729120404?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 21*q**5 - 112244*q**3 - 8058740*q**2?\nAnswer: 1260*q**2 - 673464","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that 50*x**3 - 15460*x**2 - 75072*x - 90432 = 0.\nAnswer: -12\/5, 314","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00597 to three dps.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 62 = -178. Suppose -4*h + 4*m = -197 + 53, -g = -2*h - 2*m. Is 15 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -25*k**2 + 1 + 19*k**2 + k**3 + 18*k - 34*k**2 - 16*k as a*k + u + q*k**3 + g*k**2 and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x + 3*v - 12 = 6*x, -3*x = 5*v - 20 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -5706 (base 16) to base 12\nAnswer: -10a86","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -14.82 - -44.18. Round d to 0 dps.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*z + 2*r - 6*r - 144, 0 = 2*r - 8. Let p(i) = 5*i**2 + 4. Let q be p(-3). Let u = q + 31. What is the greatest common factor of z and u?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1, 0.3, 0.07, -2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 689062961 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 48\/20 - (-4)\/(-10). Calculate the remainder when 32 - (4\/(-1) + k) is divided by (-6)\/(2\/(-4) + 0).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -16*r - 545. Let f be d(59). Round f to the nearest 1000.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 174*m - 172*m - 5*u - 19 = 0, 4*m + 18 - 11 = -5*u for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven quarters of a hour in minutes?\nAnswer: 165","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1432\/(-895)*5\/(-4). Put -15\/19, x, -2 in increasing order.\nAnswer: -2, -15\/19, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 10722, 85800, 289588, 686442, 1340718, 2316772, 3678960, 5491638?\n\"Answer: 10726*i**3 - i**2 - i - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 2*r**2 - r - 2. Let d be j(2). Suppose 3*u - 17 - 4 = -d*a, u + 5*a + 4 = 0. Is u a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 5*o - 132 = 3*s, -3*s + o = -232. Let w = -39 + s. Calculate the remainder when w is divided by 19.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*x - 24*x - 11*x.\nAnswer: -42*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 3 - 7 = 0. Let c(w) = 0*w + 4*w - r*w. Let m(i) = i - 1. Let a(u) = 6*u - 4. Let v(t) = -a(t) + 4*m(t). Calculate v(c(s)).\nAnswer: 2*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 107\/312 and 149\/132.\nAnswer: 3432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1 - 20. Let a = m + 23. Let s be 0 - (a - 2 - 0). Solve 4*q - 10 - 2 = s for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve t = 3*h - 22, -4*h + 699*t = 703*t - 40 for h.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wwb when three letters picked without replacement from zzwibwzzwwzbbiw?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -7\/33 and (-1 - -6) + 847\/(-42)?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 2, y: 3, c: 1, n: 1}. Give prob of picking 1 y and 1 n.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 11 - 31. Let x = i + 19.9999965. Round x to six dps.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 4*t - 5 + 3 + t**2 + 9 - 1. Give i(-4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*i - 4*o + 3576 - 3646 = 0, -4*o - 58 = 5*i for i.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2383199?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 0, 15, 9017 in descending order.\nAnswer: 9017, 15, 0, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 15 = i, 21 = 5*i - 5*w + 6. Let t = i + -3. Solve t*s = 5 - 3 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 116 = -0*k. Let l be ((-102)\/15 - -7)\/(7\/35). Differentiate -10 + l - k*i + 9*i + 0 with respect to i.\nAnswer: -20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 6*s - 52. Let b be t(11). Suppose -2*x - 460 = -0*u - 3*u, 0 = 2*u + 3*x - 311. What is the greatest common divisor of b and u?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 11126 + -11123. Solve -3*i - 4*j + 10 = 11, x*i + 5*j + 2 = 0 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 91801 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3 - 10333303?\nAnswer: -10333312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -66042, -132116, -198224, -264366, -330542, -396752, -462996?\nAnswer: -529274","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1)\/3 + 16\/3. Let b be 13 + (1 - 0 - 5). Let w be 1 - (-39)\/b - 4. Sort r, 0.3, w in decreasing order.\nAnswer: r, w, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.5, 1356\/13, -24, 15\/4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 140 = -2*g, 3*g + 205 = -q - 3*q. List the prime factors of g\/(-3)*((-12)\/(-2) + -3).\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*i + 1353 = 72*i + 153. Solve i*c - 122 = -97 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 74914951 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-42)\/(-264)*2*-2. Is q <= -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3\/(7 - 6114\/876) is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 7 and 1640.\nAnswer: 11480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -3*g - 1. Let y = -203817 + 203813. Put g, y, -1, 2 in increasing order.\nAnswer: y, -1, g, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6917111.\nAnswer: 6917111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 128510*o**3 - 63606*o**3 - 64038*o**3.\nAnswer: 866*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 25\/389109 or 0?\nAnswer: 25\/389109","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 23 (base 4) to base 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 655451 = 361*m - 3298943. Does 3 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 4*j**2 - 5*j - 16. Let f be h(-2). Suppose f*n - 5*n - 100 = 0. What is the greatest common factor of n and 460?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 2 + 5)*(4 - 1 - 4)*(-2*m + 14*m + 7*m) + 3 - m - 3 to z + i*m and give i.\nAnswer: -77","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w - 1662 = -2*y - 1675, 0 = -5*w + y + 17 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 + -14 - -13) + -2 + 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate b*i*l - 808*b*i + 266*b*l + 2*b - i - 8357589*l with respect to b.\nAnswer: i*l - 808*i + 266*l + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-260)\/(-60))\/((-2)\/6). Is (1 + 0)\/(c\/(-6058)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.04211557 and -0.2?\nAnswer: -0.008423114","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 927?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + u - 1 + 0*u - 2*u + 0*u + (-1 + 2 + 1)*(4 - u - 4) + 0 + 2*u + 0 + 3 + u - 3 - 1 + 1 + 78*u + 181*u to m*u + x and give m.\nAnswer: 259","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -23*c - 1514. Let w be k(-66). Solve -w*d - 24 = 3*o, 5*d = 6*d + o + 7 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 o when two letters picked without replacement from mzimmzomzmiizmmmozm.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g + 2*g + 10 = -3*u, -2*g = -5*u - 16 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3.4 + 2.1. Let t = j + 1.4. Let q = 0 + -2. Sort 4, t, q in descending order.\nAnswer: 4, t, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41279058 divided by 81?\nAnswer: 509618","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -z - 13. Let v be g(-13). Suppose -5*q - k + 118 = 0, 5*k - 15 + 0 = v. List the prime factors of q.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -279 = -35*v + 5391. What is the remainder when v is divided by 57?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 5*v - 13 = 0, 4 = 5*r - v - 5. Let x(c) = -2*c**3 - 2*c**2 - 2*c - 3. Let o be x(-2). Suppose 6 + o = 5*t. Solve t*d + r = 4*d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*l + 395 = -6*l. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1881 is divided by 449.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 5}. Give prob of sequence ee.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 784, 817, 872, 949, 1048, 1169?\n\"Answer: 11*y**2 + 773","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1547 by 24.\nAnswer: -1547\/24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*l - 3 - 1973*l**2 - 2007*l**2 + 3921*l**2 + 6*l - 1.\nAnswer: -59*l**2 + 12*l - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*j**2 + 0*j**2 + 2*j**2)*(-1 + 0 + 5) + (-9*j - 25*j + 4*j)*(7*j + 7*j - 6*j) + (-2*j + 2*j + 2*j)*(-6*j + 3*j + 0*j) - j**2 + 5*j**2 - 3*j**2.\nAnswer: -237*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = 13*q - 102 for q.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4193540 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: Simplify n*n**(10\/3)*n*n\/(n*n\/(n*n\/(n**(-20)\/n))*n) assuming n is positive.\nAnswer: n**(79\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3 - 2. Let i be (10\/(-35))\/(z\/(-7)). Suppose 0 = 3*d - 4*v - 34, 4*d + d = -5*v + 45. Calculate the greatest common factor of d and i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1 - 9. Let y = q - -9.6. Let s = -0.4 - y. Which is the second smallest value? (a) 0.2 (b) -1 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 584261.7 millilitres to litres.\nAnswer: 584.2617","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -g - g + 4. Let b(n) = -4 - 4*n**g + 4*n + 5*n**2 + 4*n**2 + 7. What is the tens digit of b(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 386368 to the nearest integer?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 17*y - 8. Let a be ((-7)\/(-2))\/(-7)*-10. Is d(a) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 33683 is divided by 31?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 14.5 plus 2.24?\nAnswer: 16.74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4229 - 3650. What is the tens digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1290*r - 1109*r = 466*r + 277*r + 72266 for r.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 + 3*v**2 - 10 + 9 + 5*v**2.\nAnswer: 8*v**2 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v**2 - 23*v + 29. What is l(-24)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that 2*d**3 + 382*d**2 + 5368*d + 15488 = 0.\nAnswer: -176, -11, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*g - 255 = g. Let w be g\/(-6) + 4 + 4. What is the second smallest value in 4, 10, w?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 23 = 1. Let y be 41 - (-1 - (1 - 1)). Let b = -10 + y. What is the remainder when b is divided by x?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-3)\/(-2)*-2 - -3. Suppose 6*j - 21 + 51 = f. Sort 1, -6, -2, j.\nAnswer: -6, j, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*c**3\/2 - 29435*c**2\/4 - 6131*c + 4905\/4 = 0. Calculate c.\nAnswer: -4905, -1, 1\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 2, 34, 110, 248, 466, 782?\n\"Answer: 3*t**3 + 4*t**2 - t - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*j - 4704 = 6*j - 67*j. What is the greatest common divisor of 78 and j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -7.3 in 129, -16, -1, -1\/5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the first derivative of f**3\/4 - 3*f**2\/2 - 20. Factor v(d).\nAnswer: 3*d*(d - 4)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 16) to base 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 21211 - -10?\nAnswer: 21221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v**2 - 3*v. Suppose 2*h - 18 = -0*h. Let o be (1 + -6)*h\/(-15). What is q(o)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3024 is divided by 89.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 237*s**2 + 0 + 181*s**2 - 637*s**2 + 235*s**2.\nAnswer: 16*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(1\/34)\/t*t**(-11)*t*t**(-12)*t**(2\/13))**(-20) assuming t is positive.\nAnswer: t**(100850\/221)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-95)\/50 + (12\/10)\/3\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/(o**12\/o))\/o)**3*(o**(-14))**(4\/39) assuming o is positive.\nAnswer: o**(-1343\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -11 + 12. Let t(q) be the first derivative of -n + 0*q**2 - 1\/14*q**4 + 0*q + 0*q**3. What is f in t(f) = 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12259258.\nAnswer: 2, 11, 67, 8317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1850 is divided by 18?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/3 at least 689?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a + b - 169 = -4*a, -3*b = -3*a + 108. Let w = 1 - -17. Suppose 2*m + 3*m - 60 = -g, 3*m - w = 3*g. Calculate the remainder when a is divided by m.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-114)\/285 + 28\/45\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-six fifths of a second in milliseconds?\nAnswer: 9200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*d**3 + 2*d**3 - 7*d**3.\nAnswer: 14*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.5, -1\/7, 19\/24, 4?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 20*t. Let s(z) be the first derivative of 12*z**2 - 2*z - 2411. What is v(s(l))?\nAnswer: 480*l - 40","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, 0, -289\/6 in decreasing order.\nAnswer: 0, -0.3, -289\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 - 5 = 4*a. Let b(v) = 21*v - 132. What is the remainder when b(7) is divided by a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 70 - 34. Let v = 35.999932 - s. What is v rounded to five decimal places?\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 412?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.1775264 - -8181.5675264. Let b = y - 8180.500073. Let p = b + -0.89. What is p rounded to five decimal places?\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 6, 15, 38, 81, 150, 251, 390, 573?\n\"Answer: f**3 + f**2 - f + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 + 7 + 2*f**2 - 3*f)*(-f**2 + 2*f**2 - 2*f**2).\nAnswer: -2*f**4 + 3*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((u\/u**(-2\/15))\/u)\/(u*u**(1\/3)))\/(u\/(u**4\/u)*u**(3\/8)))**45 assuming u is positive.\nAnswer: u**(153\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in 5, -2, -2\/3, 0.11?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.31 - -0.09. Let o = a + 0.6. What is the closest to -2\/9 in o, 5, 2?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 2*f**2 + 14*f - 17. Let j be m(-9). Let u = -16 + j. Let i(x) = -3*x + 0*x + 6 - 3*x**u + 4*x**2 + 0*x**3 + 2*x**3. Determine i(4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*d + 7*d - 27*d + 11*d + d.\nAnswer: -d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6674*h + 39896*h + 6916*h.\nAnswer: 53486*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 550 is divided by 240?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*w**6 - 8*w**4 + 2961854*w**3 - 210556*w**2 + 3*w - 13?\nAnswer: -240*w**3 - 192*w + 17771124","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put together -83454 and 0.3.\nAnswer: -83453.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence im when two letters picked without replacement from {i: 4, b: 2, m: 1}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 2*c**2 + 16*c - 11. Let l be o(-9). Solve 4*u - l - 13 = 0 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 780*m**2 - 5450*m**2 + 4668*m**2.\nAnswer: -2*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 25 + (-25 - 17) + -6 - -118.\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -7664, -7658, -7650, -7640, -7628, -7614?\n\"Answer: p**2 + 3*p - 7668","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37140*z - 1836 = -37208*z for z.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + (-9)\/(-3) - 1?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = n**2 - 13*n + 16. Let p be s(12). Let f(l) = 3 - l + 2*l - 2*l - l**2 - p*l. What is f(-6)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) be the second derivative of j**4\/12 + 4*j. Let q(a) = a. Calculate q(s(l)).\nAnswer: l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (5*5\/(-25))\/((-8)\/(216\/(-9)))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (161\/(-483))\/(((-26)\/(-65))\/(156\/5)).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31169?\nAnswer: 71, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 54 - 53.959. Let r = 176 - 175.9644. Let m = r - x. Round m to three dps.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 691812 and 384340?\nAnswer: 3459060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = 2*z - 33, -5*z + 3*z + 30 = -2*g. Suppose -5*k + z*k = 196. List the prime factors of k.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = -a - 6782, r + 3380 = 7*a - 2*a. Round r to the nearest 100.\nAnswer: -3400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 39, 90, 173, 288, 435?\n\"Answer: 16*u**2 + 3*u + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8.4 + -8.400018. What is p rounded to five decimal places?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*x + 30 = -4*x. Suppose y - x = 114. What is the remainder when y is divided by 31?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f**5\/13 + 808*f**4 + 115296*f**3\/13 - 32020*f**2\/13 - 3009314*f\/13 - 5136180\/13 = 0 for f.\nAnswer: -5241, -7, -2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -80 - -103. What is the remainder when 90 is divided by a?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 56\/10*((-2902500)\/602)\/(-250).\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-60)\/(-4)*(4552\/24 + 2)?\nAnswer: 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7175 - 7175 - 72*x + 231*x + (4 - 1 - 2)*(-2*x + 0*x + x).\nAnswer: 158*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 135456735?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 749086?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -3809 divided by -13\nAnswer: 293","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3075852 (base 10) to base 13.\nAnswer: 839040","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 691614 divided by -6.\nAnswer: -115269","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -16*(-15)\/2*4\/(-180)*20\/(-24).\nAnswer: 20\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that 2*w**2\/19 - 634948*w\/19 + 50394870338\/19 = 0.\nAnswer: 158737","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 19, 50, 91, 142?\nAnswer: 203","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 776 + 466 - 1510*z**2 - 27 + 643 with respect to z.\nAnswer: -3020*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - k = -176, 3*k - 186 = 2*a - 5*a. What is the units digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 93 take away 152840003?\nAnswer: -152839910","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -120 + 20001000122?\nAnswer: 20001000002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4043 - 3?\nAnswer: -4050","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -921, -13230, -48293, -117486, -232185, -403766, -643605, -963078?\n\"Answer: -1896*i**3 - i**2 + 966*i + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 524153 is divided by 5636?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -0.325165535*0.2\nAnswer: -0.065033107","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 9808227 to the power of 1\/2, to the nearest integer?\nAnswer: 3132","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 + 7 = 4*n. Suppose -5*s + 2*p = -3*p + 10, -5*p = -4*s - n. Is s <= 2\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 2 = -3*m, 5*y = -m + 6*m. Let t = 0.17 - -0.03. Which is the third biggest value? (a) m (b) t (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2014093 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4554 and 990?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3234730064 to the power of 1\/6, to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = t + 2. Suppose -4*f - 5*l - 20 = -9*f, 12 = 3*f - 2*l. Determine h(f).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23028935 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 8.278 in 3, -1\/3, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3067, -3066, -3065, -3064, -3063?\nAnswer: -3062","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*h + 4*h - 90. Let a be (-4)\/(-10) + 103\/h. Let p = a - 1\/18. What is the closest to 0.1 in 0.4, p, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (15\/210)\/((-3)\/6)\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -37684 (base 14) to base 15\nAnswer: -2a34d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7.4 - -5.31. Let j = 0.78 + p. Round j to 1 decimal place.\nAnswer: -1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 0*u - 18 = -5*p, 4*p - 4*u = 0. Let r = 673 - 1160. Let v = 488 + r. Solve -p = x - v for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*b - 6*b - 8*b + 24*b.\nAnswer: b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(52) + 1 + sqrt(52)*-4 + sqrt(325) + sqrt(13) + 3)*1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -192 - -186. Let z = n - -12. Let x = -2 + 1.8. Which is the nearest to x? (a) 1 (b) 3 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -456.29 + 506.224. Let t = z + 0.066. Let r = -51.54 + t. Round r to one dp.\nAnswer: -1.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j*j**(-1\/5)\/j*j*j)\/j)\/j*j)**1*j**(-3\/2)*(j*j**2)\/j*((j**1\/j)\/j*j*j\/j**(-4)*j*j)\/((j*j*j\/(j**0\/j))\/j*j)**20 assuming j is positive.\nAnswer: j**(-717\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 2*v)*(1 + 2 - 2)*(11 + 5 - 3) - v + 0*v - v + 739 - 739 + 10*v.\nAnswer: -18*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11664, 46636, 104922, 186522, 291436, 419664, 571206?\nAnswer: 746062","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*v**2 + 1765*v - 6134.\nAnswer: 4*v + 1765","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*s**5 + 6*s**4 + 3*s**3.\nAnswer: 3*s**3*(s + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1598765 = 7*s + 24*s + 4*s. Does 236 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -33*t**3 - 3*t**2 - 9*t - 1. Determine o(-2).\nAnswer: 269","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 3323132222 (base 4) to base 5\nAnswer: 230430213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -5*i**2 + 12*i. Let s(k) = -k. Let o(d) = -g(d) + 3*s(d). Determine v so that o(v) = 0.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 9058.601 decades?\nAnswer: 1087032.12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -1011, -3914, -8707, -15390?\n\"Answer: -945*m**2 - 68*m + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -135*g**5 + 2*g**4 - 185*g + 6.\nAnswer: -2700*g**3 + 24*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 891281.9179594 - 891282. Let a = g + 0.0819. What is a rounded to five dps?\nAnswer: -0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 36568 and 56.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 0.1217425 times -4.5\nAnswer: -0.54784125","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -28 + 28 + 11*s + s + 2*s - 2*s + (4 - 1 - 1)*(1 - 1 - 2*s).\nAnswer: 8*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 11376110?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 801141*j**4*z**3 - j**2*z**3 + 4*j*z**3 - j*z - 9*j + z**2 wrt j?\nAnswer: 19227384*j*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 4*l**2 + 3*l + 3. Let k be w(-2). What is the third derivative of 20*r**2 + 19*r**5 - 46*r**2 + k*r**5 - 12*r**5 wrt r?\nAnswer: 1200*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = 3*y - 24, 7*y - 2*y - 14 = -4*w. Solve 4*n = w*n - 2*m, n = -5*m - 24 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -599, -436, -171, 190, 641, 1176?\nAnswer: 1789","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 40.8 - 41. Which is the closest to -2? (a) f (b) -4 (c) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 48, -2084, -2, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 323 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/4)\/((-289)\/1445).\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.1 (b) -1\/62 (c) -17 (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 44 a factor of 2519029?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 20430 + -20411?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (51 + 9 - 27)*(-7*q + q + 4*q).\nAnswer: -66*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-54)\/(-33) + 8\/22. Let d(i) be the first derivative of 0*i + 1\/2*i**w - 6 + i**3. Find the second derivative of d(v) wrt v.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2*8\/16)\/1)\/(-2).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.0250005 from -2261.338.\nAnswer: -2261.3129995","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 85798 - -5?\nAnswer: 8579d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.4 - -0.092919.\nAnswer: -0.307081","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zggg when four letters picked without replacement from zgzgggzzzzzzgzzz.\nAnswer: 11\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 103*j + 1435. Calculate x(-14).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the first derivative of 33*v**5\/5 - 11*v**2 - 22. Find the second derivative of g(f) wrt f.\nAnswer: 396*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -1356, -1129, -902, -675, -448, -221?\n\"Answer: 227*j - 1583","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 3cc487 (base 13) to base 4\nAnswer: 11222033302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:18 PM and 2:41 AM?\nAnswer: 503","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 21029 and 69272?\nAnswer: 1177624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -142*y = 42*y - 6094 - 4026 for y.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 509848.41 rounded to the nearest one hundred?\nAnswer: 509800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 246 - 772?\nAnswer: -524","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*t**2\/7 - 639*t\/7 + 636\/7.\nAnswer: 3*(t - 212)*(t - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 7*g + 6. Let a(c) = 6*c. Let j(u) = 3*a(u) - 3*r(u). Let q(z) = 4*z + 19. Give 5*j(p) + 4*q(p).\nAnswer: p - 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*a**3 - 3*a**5 + 0*a**3 + (2*a**3 - 3*a + 3*a)*(-a**2 - 6*a**2 + 4*a**2) + (3 - 3 + a)*(22*a**4 - 9*a**4 + 14*a**4).\nAnswer: 18*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -53 - -57. Suppose -72 = -z + 5*m, -3*z - l*m = z - 336. What is the tens digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = b + 5 + 5 - 5 - 10. Calculate a(5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - ((-24)\/(-48))\/(2\/4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.650284 weeks in seconds?\nAnswer: 4022091.7632","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:28 PM and 10:19 PM?\nAnswer: 591","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 406 and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -u**3 - 2*u**2 - 11*u + 3. Let x be j(-6). Suppose 3*t = -2*v + 409, x + 28 = 2*t - 5*v. What is the remainder when t is divided by 39?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 4*f, 52*m - 2*f = 53*m + 4937. Which is smaller: -4945 or m?\nAnswer: -4945","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 44\/8175 and -41\/8013026.\nAnswer: 600976950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + 1 + 2 + -11 + 12.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = y**3 + 6*y**2 - y + 5. Let k(d) = 6*d - d + 3*d**2 - 3 - 2*d**2. Calculate the remainder when q(-4) is divided by k(3).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2878 divide 11926967?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 14, h: 5}. What is prob of picking 1 d and 3 h?\nAnswer: 35\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3a648 (base 11) to base 12.\nAnswer: 296a3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*a - 78 = -12*a. Does 10 divide (-10)\/((-60)\/6774) + a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 2*l - 3*l + 2*l)*(-2*l + 0*l - 3*l)*(0 + 2 + 0) in the form i*l + r + k*l**2 and give i.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = -3*x - 3 - 16, -4*x = 5*v + 10. Let u(l) = l + 28*l**2 - 27*l**2 - v + 6*l. Determine u(-5).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.9 times 100.32038?\nAnswer: -90.288342","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 807 a factor of 678015634?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*d**4 + 1762*d**3 + 0*d**4 - 2*d - 3*d - 1745*d**3 + 2*d to l*d**2 + f*d**4 + g + v*d + z*d**3 and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3\/(-1)*(-5 - -3) and 7?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/9)\/(700\/450).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18825531 is divided by 6564?\nAnswer: 6543","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29239430.\nAnswer: 2, 5, 11, 265813","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*z - 60*z**2 - 9 - 56*z - 9 + 16.\nAnswer: -60*z**2 - 43*z - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -4240\/2289 at most -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 356034 divided by 6.\nAnswer: 59339","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -93*a**3 - 11*a**2 + 17*a. Let b(r) = -31*r**3 - 4*r**2 + 6*r. Give -17*b(o) + 6*i(o).\nAnswer: -31*o**3 + 2*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6159)\/8212)\/((-54)\/8)?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 3980239942 and -51?\nAnswer: 3980239993","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.065755819 rounded to two dps?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12\/(((-174)\/464)\/(1\/(-2)*1))?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 33*m**2 + 0*m - 90*m**2 + 2*m to the form l*m + d + h*m**2 and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -t. Let n(x) = -20*x. Suppose 5 = 2*u + 3*u. Let l(j) = u*n(j) - 3*w(j). Let h(o) = -3 - 6*o**2 + 7*o**2 + 3. Give h(l(m)).\nAnswer: 289*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, -1\/8, -9, 3\/2, -0.4 in decreasing order.\nAnswer: 3\/2, 0.5, -1\/8, -0.4, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 639 minutes after 8:12 AM?\nAnswer: 6:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1173 and 575.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 24702 and 16468?\nAnswer: 49404","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 127208759 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(-2)*(-1)\/6?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (11 + -25)*14\/(-4).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*k**2 + 0*k**2 + 6*k**2)*(5 - 5 + 3*k**2) + (-142 + 142 + 20*k**2)*(k**2 + k**2 + 0*k**2).\nAnswer: 46*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 100563461 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 152 + 15\/(-10)*2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2114?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p**2 + 2*p + 195. What is the tens digit of b(0)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 16 + -1. Let n be ((-30)\/(-8))\/(l\/40). Solve 2*x - 13 - n = 3*y, 4*y + 4 = -4*x for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pmmmpmvpvpppm. Give prob of picking 1 v, 2 p, and 1 m.\nAnswer: 30\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f - 7 = k, -66*f + 63*f + 43 = -4*k for k.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 v when three letters picked without replacement from {e: 3, v: 13}.\nAnswer: 143\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 602 and 55202.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -72037*z - 20 + 72504*z + 20.\nAnswer: 467*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1840, -2733, -3630, -4531, -5436?\nAnswer: -6345","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that -2*i**5\/15 + 6*i**4\/5 + 42362*i**3\/15 - 338738*i**2\/15 - 53632*i - 84680\/3 = 0.\nAnswer: -145, -1, 10, 146","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 715 minutes before 6:43 AM?\nAnswer: 6:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5 and -9.5.\nAnswer: 47.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 11 = 2*w + 5*m, 2*w - 5*m - 53 = 0. Let q = -13 - 1. Let o = -6 - q. Calculate the remainder when w is divided by o.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/(-16)*(307 - 143). Is u smaller than 22?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g - 5. Let s be k(5). Suppose -a + 2*a = s. Differentiate a + t + t - 2 with respect to t.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -20 + 38. Suppose 5*a + f - l = 0, -4*a = -2*f - 8 + 2. Suppose s + a = 2*s. Solve s = 5*r - 22 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(336) + 1*-4*sqrt(336))\/(sqrt(84)\/(sqrt(72)\/sqrt(6))).\nAnswer: -12*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -968*c**4*h + c - 2*h + 138 wrt c.\nAnswer: -11616*c**2*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -92*d**2 + 234 + 22*d**2 + 219 - 10 + 63*d**2 as x*d**2 + f*d + q and give x.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = 2*l + u, -5*u + 39 = -2803210*l + 2803206*l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:11 AM and 4:03 PM?\nAnswer: 292","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 5, q: 3, z: 3, x: 3, t: 1}. Give prob of picking 1 x and 1 t.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4763?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4878 and 7327242?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 412010 and 25.\nAnswer: 2060050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qcoq when four letters picked without replacement from ooqoovoccqqu?\nAnswer: 1\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 15689 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 773 divided by 172.\nAnswer: 773\/172","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) be the second derivative of -p**4\/6 - 2*p. Suppose 0*u + 28 = 4*o + 5*u, -5*o + u = -6. Let x(y) = 5 + 0 - 5 - o*y. Determine t(x(k)).\nAnswer: -8*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (558\/496)\/(3\/296). Solve v*x - 107*x = 5*q + 37, 13 = x - 2*q for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -11, -2, 129 in descending order.\nAnswer: 129, 1, -2, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1067 + -680. Calculate the remainder when g is divided by 98.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -297 + 204. Let p be l\/(-2)*968\/66. Let v = p + -395. What is the units digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 2*p**2 - 176*p - 177*p + 353*p. Let f(m) = -45*m. Calculate f(d(s)).\nAnswer: -90*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3 - 20993\/19) + (-66)\/627. Let i = 1112 + s. Factor 0 + 5\/3*r**3 + 0*r**2 + 0*r + 5\/3*r**5 + 10\/3*r**i.\nAnswer: 5*r**3*(r + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a\/a**(-28))\/(a*(a*(a*a**(-8))\/a)\/a*a))\/(a**26*a\/a**(-18)))**(2\/9) assuming a is positive.\nAnswer: a**(-20\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7*s**6 + 3610*s**5 - 569*s**2 + 47*s - 2?\nAnswer: 840*s**3 + 216600*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = m**3 - 12*m**2 + m - 14. Let v be d(12). Is 24*((-4)\/3 - v) a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 420584721 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and 157\/5245116 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -x**2 + 231167. Let w(g) = 20*g. Determine h(w(j)).\nAnswer: -400*j**2 + 231167","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Let y = -58 - -54. Let b be ((0 - -3) + y)*3. What are the prime factors of ((93\/(-2))\/(-3))\/(b\/(-30))?\nAnswer: 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from maadcc. What is prob of picking 2 a?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 3*c**2 - 15*c + 17. Let v(j) = -2*j**2 + 8*j - 9. Let s(k) = -4*l(k) - 7*v(k). Is s(-4) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 3, c: 2, d: 2, w: 8}. What is prob of picking 4 y?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 79\/2 + -161\/4. Let p be 129\/21 + 3\/(-21). Suppose -p*h + 25 = -h. Which is the closest to 0? (a) f (b) 0.3 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.7 in -2, 47\/8, -0.5, 4, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 99\/226?\nAnswer: 99\/226","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 149?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 150*g + 128 + 172 = 0 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 1369*n + 3262 - 3262 in the form j + l*n and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 4034194507?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 12 or 183253\/14073?\nAnswer: 183253\/14073","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -o**3 - 12*o**2 - 37*o - 2. Let z be w(-5). Let g(x) = -x**3 + 6*x**2 + 13*x + 14. Let m be g(z). Let f(j) = -j**2 - 9*j + 13. Determine f(m).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 43.9 + -32. Let d = 16 - c. Let h = 4 - d. What is the third smallest value in 3, 0.5, h?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 187 a factor of 56852114?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 47420057?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = -5*q + 11 + 18, 0 = c - q - 4. Suppose 6*b + 133 = c*b. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -8109365.5 to the nearest ten thousand.\nAnswer: -8110000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -203 - 210?\nAnswer: -1013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 17*j + 5. Suppose 5*h - 4*h + 4 = 0. Let d be z(h). Let m = 947\/15 + d. Which is the third smallest value? (a) 0 (b) -0.4 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 3*k = k + 10, 5*b = 4*k + 26. Suppose a - 123 = -b*t - 25, -86 = -2*t + 5*a. Is t a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8\/37 != 17\/4765?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 11\/2 of a litre?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that -73*z + 73*z - 11*z**4 - 10*z**3 + 15*z**2 + 6*z**4 = 0.\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31 + 67 = -9*a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 10*h**3 + 5)*(1583*h**2 - 546*h**2 + 136*h**2).\nAnswer: 11730*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -15*a - 322. Calculate n(7).\nAnswer: -427","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 57*l**3 + 52*l**3 - 107*l**3.\nAnswer: 2*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 2*h**2. Let w(a) = 194*a**2 - 17*a. Let y(t) = -65*t**2 + 6*t. Let u(j) = -6*w(j) - 17*y(j). Give o(u(r)).\nAnswer: 6962*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 933935 - a?\nAnswer: 933927","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -50 + 71. Solve -2*i + 6 = y, 0*y - 4*y = -i + a for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-31))**(-13)*(o*o\/(o*o**(1\/37)*o*o))\/(o*o\/(((o*o**(-3\/29))\/o*o)\/o)) assuming o is positive.\nAnswer: o**(429060\/1073)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -654, -1307, -1958, -2607, -3254, -3899, -4542?\n\"Answer: q**2 - 656*q + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 50 - 45. Solve -t*p - 3 + 13 = 0 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 339 - -33.914.\nAnswer: 372.914","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -56*n**2 + 212*n - 132.\nAnswer: -4*(n - 3)*(14*n - 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 90035 and 55?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8*d**2 + 210*d - 3572.\nAnswer: 2*(d + 38)*(4*d - 47)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1\/5 + 2*5\/(-25). Is u smaller than 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 11*a. Let g(o) be the third derivative of 17*o**4\/24 + 12*o**2 - 4. Give i(g(u)).\nAnswer: 187*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3.2 - -3. Suppose 3*l - 4 = -1. Suppose -4*p - 5*v = 27, 2*v - 3*v = 3. Which is the nearest to q? (a) -1 (b) p (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = k**3 - 6*k**2 + 7*k - 7. Let l be o(5). Suppose y = -y - 10. Sort -1, l, y in increasing order.\nAnswer: y, -1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 b and 1 o when four letters picked without replacement from {b: 8, i: 1, o: 11}?\nAnswer: 616\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5551*g**2 - 8719*g**2 - 16376*g**2.\nAnswer: -19544*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 19451 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 20*i - 181. Let g be d(9). Is g bigger than -1\/1040?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1888539603?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1610 and 70?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 7*a + 73. Give l(-10).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + -2 + 4 - 16 - (22 + 6 - 86).\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -16 - -33. Let b(s) = 9*s**3 - 6*s**2 + 7*s + 5. Let m(a) = -26*a**3 + 17*a**2 - 20*a - 14. Let f(l) = g*b(l) + 6*m(l). Calculate f(1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4\/5, -1\/2, -41, 4, -5, 13.9 in decreasing order.\nAnswer: 13.9, 4, 4\/5, -1\/2, -5, -41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -12*a + a**2 + 3*a**2 - 2*a**2 - 12*a**2 + 12 - 14*a.\nAnswer: -2*(a + 3)*(5*a - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2956160, -5912297, -8868436, -11824577, -14780720, -17736865, -20693012?\nAnswer: -23649161","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 29 + -21. Suppose 781 + 1731 = d*r. What is the units digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*g**4 + 19705*g**3 - 1180040*g**2 + 5131420*g - 2902320 = 0 for g.\nAnswer: 2\/3, 4, 58, 1251","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 31*l - 7 + 17 + 22*l - 13. Is o(4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 69861 and 7569?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(128) + 0 - sqrt(128) - sqrt(128)) + -3)*4)**2.\nAnswer: 768*sqrt(2) + 2192","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 3*o + 9 = -m, 4*m = 2*o - 12. Let g be (-765)\/(-810) - ((-57)\/54 - -1). What are the prime factors of 41 - (m + 4) - g?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a**2 + 140*a - 2346 - 2296 + 4500 = 0. What is a?\nAnswer: -71, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -878, -188, 944, 2518, 4534, 6992?\n\"Answer: 221*a**2 + 27*a - 1126","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.069167 + -0.01126\nAnswer: 0.057907","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -83*b**3 + 3*b**2 + 70*b**3 - 8*b**2 - 5*b**2 - 2126 with respect to b.\nAnswer: -39*b**2 - 20*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 752895 a multiple of 507?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -339*p + 241*p - 485*p - 10494 = 0 for p.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 281382 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: Convert -1a4 (base 13) to base 5.\nAnswer: -2203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 35*s**3 - s + 1. What is the remainder when 174 is divided by d(1)?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 229 + -251. What is the nearest to d in 0.2, -1\/4, 5?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 493946 and 22.\nAnswer: 5433406","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -80? (a) 0.21 (b) -71 (c) -12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) be the second derivative of 3*r**5\/80 - 3*r**4\/8 + 3*r**3\/2 - 3*r**2 - 33*r. Factor n(s).\nAnswer: 3*(s - 2)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1005924.\nAnswer: 2, 3, 17, 4931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 4 + 2 + 2*a - 9 wrt a?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*r**3 - 42 - 41 + 120 + 9*r**2 - 37 to the form s*r**2 + h*r**3 + z + p*r and give s.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 157969 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u + 3*j = -8, -36*u + 40*u + 12 = -j for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 24283 * -379\nAnswer: -9203257","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3037346 to the nearest integer?\nAnswer: 145","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 3*t - 5*t + 0*t. What is the tens digit of u(-7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 71 divide 12425?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -u**2 + 7*u + 2. Let x(s) = -s**3 + 5*s**2 - 6*s + 5. Let j be x(3). Calculate the remainder when p(j) is divided by (-1755)\/(-255) - 2\/(-17).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4)\/((-4)\/4) - -1. Let w(k) = 34*k - 6. List the prime factors of w(f).\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) be the second derivative of x**5\/20 + 15*x**4\/4 + 22*x**3\/3 + 5*x**2\/2 - 1361*x. Calculate d(-44).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five quarters of a gram in milligrams?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -467*p + 626*p + 2226 for p.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3809, 7639, 11515, 15461, 19501?\nAnswer: 23659","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/(-8))\/(86\/(-1346416)*-103)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w - 3 = r, -3*w - 2*r + 4*r = 9 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-8)\/24*2*-3. Let k(i) = -47 + 103 + l*i - 56. Let y(h) = 231*h. Determine k(y(p)).\nAnswer: 462*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the third derivative of 0*d + 35*d**2 - 1\/8*d**4 - 3\/2*d**3 + 0. Give l(-4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 5024360, -1\/2, 0.3 in ascending order.\nAnswer: -6, -1\/2, 0.3, 5024360","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = f**2 + 9 + 0 - 6 + 13. Let w be i(0). Let q = 10 - w. Which is bigger: -7 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the third derivative of -m**4\/24 + 13*m**3\/6 + 2*m**2. Let c be w(7). Suppose 3*v = -c + 15. Calculate the highest common divisor of v and 15.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (2 + sqrt(45) + -1 - sqrt(40)\/(sqrt(32)\/(-2*sqrt(4)) + sqrt(8))))**2.\nAnswer: 8*sqrt(5) + 21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in nine tenths of a centimeter?\nAnswer: 9000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 22 - 51. Let t = -0.214737 - 28.784743. Let s = t - q. What is s rounded to four decimal places?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21180836071 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -2*f - 7. Let p(d) = 6*d + 5*d + 2*d - 2. Let y(c) = 19*c - 3. Let s(g) = 7*p(g) - 5*y(g). Let j be s(2). Calculate b(j).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*o**2 + 2226*o + 203660.\nAnswer: -2*(o - 1198)*(o + 85)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 21, -204, -859, -2160, -4323, -7564, -12099, -18144?\n\"Answer: -36*z**3 + z**2 + 24*z + 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:01 AM and 5:23 AM?\nAnswer: 142","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 36327727 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -42285*m**4 - 838136?\nAnswer: -169140*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -28 + 24. Put 1, a, 5 in increasing order.\nAnswer: a, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -9, 1 in descending order.\nAnswer: 1, -2, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -20, -50, -102, -176, -272, -390?\n\"Answer: -11*o**2 + 3*o - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*b - 0*b + 6. Let d be (0 + -51)*104\/(-312). Suppose d = -b*v + 3*v. Solve 4*q - v + 1 = 0, 0 = -4*t + 4*q - 24 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*d + 3*a + 2*a + 375, 4*d - a = -523. Let u = -2112 + 33745\/16. What is the common denominator of u and (-223)\/d + 9\/(-15)?\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 6*z - 1. Let s be b(2). Let l = 11 + s. Suppose 4*d - 3*w = -4*w + 972, -4*d + 948 = -5*w. Calculate the greatest common divisor of d and l.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.08 - 5.92. Let z = i + 5.8. Which is bigger: 3\/2 or z?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1376*q**3 + q**2 + 2639.\nAnswer: 4128*q**2 + 2*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: ((-11625)\/300)\/(-31)*8\/3\nAnswer: 10\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 7822 = 3*c - 2599, -3*k + 3916 = -c. Let q = k + -255. Suppose -q = -u + 4*u. Round u to the nearest one hundred.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 39 - 17. Suppose -5*k + 23 = -z. Solve 2*x = 3*x + 4*v + k, -v - 6 = 4*x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7617838?\nAnswer: 2, 1049, 3631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-5664)\/448)\/(18\/(-7)). Let o = -49\/6 + g. Which is the smallest value? (a) o (b) -4 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e and 1 a when three letters picked without replacement from {e: 2, g: 1, k: 4, a: 1}.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = v**2 - v + 3. Let t(i) = 3*i**2 - 2*i + 7. Suppose 6*o - 9*o = 27. Let c be (-3)\/(o\/6) - 3. Let d be 3 + (-4)\/(-3 - c). Determine d*s(k) - 2*t(k).\nAnswer: -k**2 - k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.1857 rounded to two decimal places?\nAnswer: 4.19","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 1430 = -3*f, 2*d = 4*d - 10. Let n be f\/(-35) + 2\/7. Let z = -5 + n. Does 9 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -0*g + g. Let x(d) = d**2 - 6*d - 11. Let w = -6 - -14. Let m be x(w). Solve 2*b - g*b - 6 = -2*j, 0 = m*b - 5 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -v - 2*v**3 - 36*v**2 + 107*v**2 + 21 - 26*v**2 + v**4 - 35*v**2 to the form g*v + l*v**3 + f*v**4 + c*v**2 + i and give i.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 180\/(-24) + 9 + (0 - 1). Let s = -3.05 - -3. What is the biggest value in i, s, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*s - 10*s = -34*s + 18 for s.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (z**3 - z**3 - 2*z**3)*(102*z + 71*z + 212*z).\nAnswer: -770*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 + -34 + -38 + 57.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 11*c**3 + 6*c**2 + 6. Let x(h) = 12*h**3 + 7*h**2 + 7. Calculate 7*j(t) - 6*x(t).\nAnswer: 5*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (124608\/12980)\/(-2 - 32\/(-20))?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 29, -2, 37 in descending order.\nAnswer: 37, 29, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -41*b**3 + b**2 + b - 1. Let z be p(1). Let f be 9\/(-3)*16\/3. Let x = f - z. List the prime factors of x.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) be the first derivative of 9*h**5\/20 - 5*h**4\/12 + 5*h + 21. Let q(d) be the first derivative of x(d). What is the third derivative of q(k) wrt k?\nAnswer: 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 times -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000043816699 rounded to six dps?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = -7 - 8. Sort z, 1, -2 in descending order.\nAnswer: z, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 3*z + 2 + (-3*z - 2 + 2)*(6 + 5 - 3))*(25*z**2 - 14*z**2 - 20*z**2) + 0*z**3 + z**3 - 2*z**3 in the form i*z + l + v*z**2 + w*z**3 and give w.\nAnswer: 188","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -46 + 59. Let w = m - 9. Calculate the lowest common multiple of w and 9.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(0 + (sqrt(1331) - ((sqrt(1331) - (2 + sqrt(1331) + sqrt(1331))) + 1))) - (-5 + sqrt(1331)*-1 + -2 + -1*sqrt(1331) + 0).\nAnswer: 12 + 132*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 x when two letters picked without replacement from {k: 1, w: 1, a: 1, r: 3, e: 4, x: 5}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 101 minutes before 8:20 PM?\nAnswer: 6:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -2*i - 6. Let s be n(-4). Let o(u) = 0*u - u + s*u + 0*u. Let f(h) = -25*h**2 - 9951 + 9951. Calculate f(o(q)).\nAnswer: -25*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46 = 154*u - 200*u. Let r = -206 + 1852\/9. Which is the closest to u? (a) 11 (b) r (c) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.4, -20, -122\/5, 4585?\nAnswer: -122\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that 3*x**4\/4 + 3*x**3\/4 - 153*x**2\/2 + 270*x = 0.\nAnswer: -12, 0, 5, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*g**3\/6 - 1391*g**2 + 125478*g - 107212\/3 = 0. What is g?\nAnswer: 2\/7, 98, 1094","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 974068 - 347?\nAnswer: 973721","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 160 = 2*k + 7*n, -4*k - 322 = 2*n. Let r be (10296\/k)\/(-13) - 4\/(-18). Solve -r = 2*v - 8 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 42103 and 5112?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 30211 + -2331?\nAnswer: 21220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.5 and 190978?\nAnswer: 190978.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -899 - -2696\/3. Which is the smallest value? (a) 0.6 (b) 5 (c) r (d) 5\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 84, 312, 692, 1224?\nAnswer: 1908","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 524 minutes after 10:58 AM?\nAnswer: 7:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*q**6 + 2589*q**3 - 5176*q**3 + 385*q**4 + 2587*q**3 - 1075*q**2 + 4*q**6 wrt q?\nAnswer: 240*q**3 + 9240*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -16 + 28. Calculate the greatest common factor of t and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*q**5\/4 - 231*q**4\/4 - 3*q**3\/2 + 231*q**2\/2 + 3*q\/4 - 231\/4 = 0. What is q?\nAnswer: -1, 1, 77","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 3*p**2 - 164*p - 911. What is w(-5)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 3.8 from -162544.\nAnswer: -162547.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3324 + 3322.3434. Let o = u + 0.3196. Round o to 1 decimal place.\nAnswer: -1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 248?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 0 - -5adb?\nAnswer: 5adb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*t**2 - t**3 - 4*t**3 + 6*t**3)*(-15 + 11*t + 15) as u*t**4 + c*t + w*t**3 + q + d*t**2 and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -524, -521, -506, -473, -416, -329, -206?\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = 6 + 19. Factor -4*c**3 - c + 8*c**4 + 5*c**i + 2 - 10*c**2 + 4*c**2 - 4*c**2.\nAnswer: (c - 1)*(c + 1)**3*(5*c - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 64 is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -2*u + 14. Let o(a) = 12*a**3 - a**2. Let n be o(1). Let z be y(n). Is 1 - -3 - 3 - z a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-12)\/(-40))\/(9\/5). Let t(u) be the third derivative of u**2 + 0*u - 1\/6*u**4 - h*u**3 + 0. Give t(1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (360\/130)\/((-6)\/(-72)*24).\nAnswer: 18\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 14*b + 30700*b**2 - 15342*b**2 - 15345*b**2.\nAnswer: 13*b**2 - 14*b + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 15, h: 4}. Give prob of sequence hiih.\nAnswer: 35\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 423560, 847117, 1270674?\nAnswer: 1694231","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = i**2 - 2*i - 10. Let c be t(6). Suppose c*g - 8*g = 210. What is the tens digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -101*r - 25 = -106*r. Suppose 3*t - 12 = 2*o - r*o, 5*o + 7 = 4*t. Is 103 not equal to o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j**(1\/10)\/j)\/((j*(j**(-3\/8)\/j)\/j)\/j))\/(j**(4\/11)*j**(-6)) assuming j is positive.\nAnswer: j**(3569\/440)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) be the first derivative of 283*y**5\/5 + 497*y**3\/3 + 529. Find the third derivative of b(k) wrt k.\nAnswer: 6792*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 2, m: 18}. What is prob of sequence mr?\nAnswer: 9\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -c**3 - 30*c**2 + 31*c + 87. Let b be s(-31). Suppose -93 = -3*r - b. Let o = 0.1 - -0.4. Sort 0, o, r in descending order.\nAnswer: r, o, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 113023 - 220231300?\nAnswer: -220112211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 49 + -74. Let u = 25 + v. Solve -h + 5 + 0 = u for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -p**3 - 7*p**2 - 5*p + 8. Let u be y(-6). Suppose 4*s = s + 6. Suppose -s*a + 8 = 4. Solve 0 = m + l + a, -5*l = u*m - 6*m + 28 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = f + 9, 4*f - 2*f + 3*q - 15 = 0. Suppose f*z - 1 = -0*z - h, -2*z = -4*h - 24. Solve 12 - z = -5*c - s, -s = -4*c + 1 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.28 + -0.48. What is the third smallest value in -2\/5, -3\/2, 2\/9, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -18 - (29 + -39 + 7).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:29 AM and 8:35 PM?\nAnswer: 546","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 80 = -2*h, 2*h = -w - 7 + 47. Let i = -97 - w. Let b = -71 - i. What is the units digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t - 159 = -d - 6*d, -226*d - t + 68 = -223*d for d.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = -3 + 11. Suppose 0*n = -n. Suppose 4*x = 3*c - 8*c + 9, -4*x - 4*c + 12 = n. Solve x*z = k*z + 12 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mtmkhotb. What is prob of picking 1 k, 1 h, and 2 t?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = 2*x + 27, 3*r + x = 3*x - 27. Let v = 11 + r. Suppose 4*l + 151 = 5*z, -v*l + 150 = 5*z - 7*l. What is the tens digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7650000 rounded to the nearest one million?\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1\/16394 - 155611\/2164008. What is the common denominator of y and -17\/8?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 3*m = 22, 37*m - 12 = -3*v + 38*m. Is v less than or equal to 81\/35?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 160300 rounded to the nearest 10000?\nAnswer: 160000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 58251660167 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*g + 11*g - 6815 = 5*f, 4*g - f = 6835. What is the hundreds digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -2*c + 8. Let n be (-3 + -4)\/(1\/1). Let m be w(n). Calculate the highest common factor of m and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 159063450 a multiple of 1075?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2846*l**2 + 2846*l**2 - 1378*l**3.\nAnswer: -1378*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3 - 6)\/(-9))\/(33\/(-6)).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - -26)*31\/124?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 19*r - 2 + 13*r - 25*r + 5 - 4*r. Let i be 21\/(-12) - (-2)\/(-8). Calculate s(i).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 7, h: 4}. Give prob of picking 1 z and 2 h.\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1, -7, 0?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -21 divided by -154?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -2\/137 (b) 342\/13 (c) -0.4 (d) -13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 5*h**3 + 974*h**2 - 12. Let c(f) = -6*f**3 - 976*f**2 + 14. Calculate -6*c(p) - 7*l(p).\nAnswer: p**3 - 962*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9\/(1\/(-3) + (6 - (-126)\/(-27))).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 17*a**2 + 21*a - 3. Let s(l) = -9*l**2 - 12*l + 1. Let f(y) = 11*s(y) + 6*z(y). Calculate f(3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -10, 10\/9, -272\/5, 5?\nAnswer: 10\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (44 - 2)*(-66)\/(-77). Calculate the highest common factor of p and 288.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o + 4*c + 113 = 0, -195*c + 194*c - 147 = 6*o for o.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1698\/(-52) - (-68)\/442) + -11 + 5. What is the smallest value in 3, p, -5?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*c - 30 = -c. Let s be (4\/c)\/((-4)\/6). Let o = -8.29812 - -0.29812. Which is greater: s or o?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0 + 4. Let p(c) = c**2 - c + 5. Let k be p(0). Suppose -k*x + 19 = 3*u, v*u = x + 10 - 0. What is the units digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = n**2 - 4*n + 2. Let t = 12 - 8. Let g be q(t). Solve -g*h + 10 = 2*f, 0 = 4*f + 2*h - 0*h - 18 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 585 and 3159.\nAnswer: 15795","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 7922.977 weeks in hours?\nAnswer: 1331060.136","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 14*p - 210. Determine r(15).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ospr when four letters picked without replacement from goggromrrgsprgorg.\nAnswer: 1\/3808","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -13\/8666448 and -131\/4333224.\nAnswer: 8666448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -9*j + 3. Calculate q(-4).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 7*x - 6*x + 5*z + 18, -5*x + 3*z = -22 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - 3*g = 151 + 275, 3*a = g - 250. Let h = -1009\/12 - a. Which is smaller: h or 2?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -t**4\/2 - 14675*t**3 - 322253437*t**2\/2 - 784362695550*t - 1428392776298418.\nAnswer: -(t + 6713)**2*(t + 7962)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 31784 a multiple of 58?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the third derivative of 3\/40*b**6 + 3\/8*b**4 + 0*b + 7\/6*b**3 + 1\/15*b**5 - 13*b**2 + 0. Is p(7) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 13*i**2 - 25. Let c(s) = -3*s**2 + 6. Suppose -4*y + 504 = -4*x - 0*y, -5*y = 4*x + 531. Let k = x + 127. Let p(m) = k*r(m) - 9*c(m). Give p(4).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -b**3 + 6*b**2 - 27*b - 271. What is the units digit of x(-12)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 24 = 3*o - 5, -3*n + 44 = 4*o. Calculate the remainder when 1 - (1 - (-5 - -67)) is divided by n.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 121 and 10901?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1658 is divided by 21.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**2\/4 - 7647*o\/4 + 53431\/2.\nAnswer: (o - 7633)*(o - 14)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xxzxxcxcxx. What is prob of sequence cxzx?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11332674.\nAnswer: 2, 3, 629593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 104.2 + -104.3. What is the fourth biggest value in 5, -21, g, -0.4?\nAnswer: -21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((36\/(-6))\/(-54))\/1?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*f + 7*f + 0*f)*(-2*f - 4*f + 4*f)*(1114 - 1114 - 41*f).\nAnswer: 820*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((3*(4*sqrt(114) - sqrt(114)) - sqrt(114) - sqrt(114))*-6)\/(-2*sqrt(726)*-3 - sqrt(726)).\nAnswer: 252*sqrt(19)\/55","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-1\/3))**(-3)*(w**(3\/8)*w)**(-47) assuming w is positive.\nAnswer: w**(-509\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the third derivative of -1\/42*o**7 + 1\/30*o**5 - 14*o**2 + 0*o**3 + 0*o**4 + 0*o**6 + 0 + 0*o. What is the third derivative of a(c) wrt c?\nAnswer: -120*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 63 = 7*b - 4*b. Calculate the greatest common factor of b and 63.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 3634720.88 from 2496.\nAnswer: -3632224.88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101001 - 11101110010?\nAnswer: -11101001001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/h**(-2\/5)*h)**(-1))**(3\/43)\/((h\/((h*h*h**(1\/4))\/h))**(9\/10)\/(h**5\/h**(2\/9))) assuming h is positive.\nAnswer: h**(74851\/15480)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 24553 + 1?\nAnswer: 24554","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3245 is divided by 116?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*o + 124 + 56 = 69*o. Solve 2 + 7 = -3*m, -5*v - 3*m = o for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 295 minutes before 10:31 AM?\nAnswer: 5:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -307*w + 502*w - 321*w to the form o*w + x and give o.\nAnswer: -126","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1620\/(-99))\/10 - -2.\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2333 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = 4*n - 20. Solve 0*p - n = 2*p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1552486, -3104772, -4657058?\nAnswer: -6209344","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*x - 536*d + 1 = -537*d, 0 = -5*x + 2*d + 2 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -7\/43146 and 1\/84.\nAnswer: 604044","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/(-15*(-6)\/20)*6?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tlvtivllhevi. What is prob of picking 2 i?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 24624 by -2736.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence la when two letters picked without replacement from {d: 4, z: 2, m: 7, l: 1, a: 2}?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 11\/5, 3, -0.07, 2, -1598?\nAnswer: -1598","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Add together 51341436272 and 0.3.\nAnswer: 51341436272.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -3*t - 2. Let z be g(-4). Let f be (-2)\/((-8)\/(-6))*-186. Let r = f + -169. Calculate the greatest common factor of z and r.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 878019 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: Solve -2*h + 10 = v, -1292*v + 3*h = -1297*v + 29 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -251*x - 2*v = -252*x + 4, v - 4 = -x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 41154 + 3?\nAnswer: 41157","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2241 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19 - 15 + 258913*m - 258913*m + 447*m**3 + 34.\nAnswer: 447*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0 (b) 1\/7 (c) 9\/10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -11 - -12. Let f be -6 - ((-5)\/q - -4). What is the nearest to -1 in 2, f, 4\/5?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -821*n**4\/4 + 126437*n**3\/4 + 1057807*n**2\/4 + 927147*n\/4 - 1701\/2 = 0 for n.\nAnswer: -7, -1, 3\/821, 162","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:16 PM and 9:32 PM?\nAnswer: 496","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 92 = 8*l - l - 11*l. Let i(v) = -v**2 - 24*v - 22. What is i(l)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(3\/10)*b\/b**4*b)**(16\/3)*((b*b**(2\/5))**4)**(-1\/6) assuming b is positive.\nAnswer: b**(-10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (3\/6)\/(3\/6). Let n be -3*(r + (2 - 4)). Let o(z) = -z + 1. Let b be o(-1). Solve 3*t + 16 = 4*i, -b*t + 3*t = -i - n for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 82?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.0395 in -4\/7, -4\/9, 2\/5, -5, 4?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l + 3 = 3*l + 3*l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -9*j**4 - 8*j**3 + 16*j**2 - 4*j. Let x(g) = -g**4 - 2*g**3 - g**2 - g. Let v(h) = u(h) - 4*x(h). Factor v(n).\nAnswer: -5*n**2*(n - 2)*(n + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = -3*m - 26815, -4*v + 7*m + 107308 = 11*m. Is 28 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -515.8 + 512.903. Let v = -0.103 + l. Which is greater: -1 or v?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 38*w**2 - 2*w**3 + 78*w - 24*w**2 + 55*w**2.\nAnswer: -2*w**3 + 69*w**2 + 78*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 660 minutes before 10:20 AM?\nAnswer: 11:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, 490012, 2\/11 in decreasing order.\nAnswer: 490012, 0.5, 2\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Add -10483569 and 0.13.\nAnswer: -10483568.87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -2*h**2 - 20*h + 3. Let s be w(-10). Suppose -2*k + s*k = -4*k. Suppose k = -12*p + 1523 + 1117. What is the hundreds digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18459?\nAnswer: 3, 7, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z**2 + 5*z - 9. Let c be x(-7). Find the second derivative of -4*y**2 + 4*y**2 - 12*y - 4*y**5 + 3*y**c wrt y.\nAnswer: -20*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 144 minutes before 8:25 PM?\nAnswer: 6:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3 - 1. What is the lowest common multiple of (r\/7)\/(10\/280) and 9?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -1016841*q**2. Let p(k) = -56*k. Determine d(p(i)).\nAnswer: -3188813376*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -g**3 + 13*g**2 - 12. Let z be v(12). Suppose -18 = -5*y + z. Calculate the remainder when y is divided by (-42)\/(-4) - 2\/(-4).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 49 = 39. What are the prime factors of (-1 - -2)\/(r\/2002)?\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 2, p: 1, s: 1, n: 3, l: 3}. What is prob of picking 3 l and 1 n?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -28 - -33. Suppose 2*s = 3*s + p*i, -3*i = 3*s - 24. Let j be (-2 + 3)*250\/s. Solve 0 = -5*b + j, 2*q + b - 5 = -q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 d when two letters picked without replacement from zohfmzmmzmmmzmmd.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*s**3 + 5*s + 2*s**3 - s + 11*s**3 - 2*s**2 to c*s**2 + j + k*s + t*s**3 and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -404 (base 16) to base 9\nAnswer: -1362","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2004822 and 174.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-46)\/14 - 6\/(-21). Let d(g) be the second derivative of 1\/12*g**4 + 1\/20*g**5 - 3\/2*g**2 - 2*g - 20 - 1\/3*g**3. Give d(n).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**2 + 487*n + 3960.\nAnswer: -(n - 495)*(n + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2 - 5 - 0) + 5. Suppose -3*n = f*n - 140. What is the units digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in twenty-one eighths of a milligram?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 32310 (base 4) in base 16?\nAnswer: 3b4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = d**2 - 7*d - 58. Let o be s(11). Let l = 66 - 75. Which is greater: l or o?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -2 - (-1 + (-4)\/(-2)). Let m be (-1)\/2 + h + 5. Let y = 0.1 - -0.1. Which is the nearest to 2\/7? (a) y (b) m (c) 5\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*w - 4*f + 82, 5*w - f - 165 = -2*f. Suppose 3*g - 4*g + w = 0. Let t = 34 - 22. Calculate the remainder when g is divided by t.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -498, -2, 5, -301, 3 in decreasing order.\nAnswer: 5, 3, 0, -2, -301, -498","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 217\/840 + (-2)\/15. Which is the second biggest value? (a) 7\/4 (b) t (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 27637, 55334, 83033, 110734, 138437, 166142?\n\"Answer: j**2 + 27694*j - 58","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3 - -329399.\nAnswer: 329399.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -2 + 1 + 3 - 1. Let v be (-6)\/(-4) + j\/2. Let h(z) = v + 3 + 6*z**2 + 11. Let f(b) = -2*b**2 - 5. Determine 16*f(s) + 5*h(s).\nAnswer: -2*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 144*-23.\nAnswer: -3312","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 40 - 19.8.\nAnswer: 20.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0 + -1. Let y = -2339 - -11657\/5. Let b = y - -37\/5. Which is greater: c or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000445 rounded to five decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*b**3 - 3*b + 3*b)*(-b - 3 + 3) - 5534*b**4 + 12459*b**4 + 5924*b**4 - 2 + 2 as x + q*b**2 + t*b + s*b**3 + a*b**4 and give a.\nAnswer: 12847","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -82 - -248\/3. Which is the nearest to s? (a) -1\/8 (b) 0.03 (c) -12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*p + 2*p + 2*p)*(66*p - 1 - 26*p - 29*p).\nAnswer: 44*p**2 - 4*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0 + (-6)\/(-4) + (-4)\/(-8). Let b be 2 - ((-42 - w) + 1). Suppose 0 = -4*c - 3*v, -5*v + 10 = -5*c + b. Solve 3*p - 5 = -t, -1 + 8 = 5*p + c*t for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.2 and -4319.\nAnswer: -863.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 2992, 3052, 3152, 3292?\n\"Answer: 20*u**2 + 2972","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 137\/4145688 and 1\/1260.\nAnswer: 145099080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 120200487?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 127\/12 and 28\/24693?\nAnswer: 98772","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the third derivative of 13*k**4\/3 + 3*k**3\/2 + 1241*k**2 + k. Let x(n) = -4*n. Determine x(l(m)).\nAnswer: -416*m - 36","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*s**5\/7 + 6*s**4\/7 + 110*s**3\/7 + 282*s**2\/7 + 180*s\/7 = 0. Calculate s.\nAnswer: -3, -1, 0, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -314.58 + 470.61. Round o to the nearest ten.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6698.284 nanometers in meters?\nAnswer: 0.000006698284","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50*r + 184*r - 914818 = 0. What is the tens digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1 + -105?\nAnswer: -106","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3328)\/544 - (-2)\/17.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f**3 + 1921*f**2 + 52624*f - 54544 = 0. Calculate f.\nAnswer: -28, 1, 1948","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 14*l + 11. Let g = 9 + -12. Let y(i) = -27*i - 21. Let p(b) = g*y(b) - 5*h(b). Is p(6) 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 kaakiaaiaiaiiaaaiaa. Give prob of sequence ki.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/29 (b) 3.06 (c) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -2*q**3 - 7*q**2 + 44*q + 21. Let c be d(-7). Solve 0 = 4*h + c - 40 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 4 = -4*f, -4*f - t + 5 = 2*t. Suppose -3*o + 3*v + 7518 = 0, -4*o + f*v + 10015 = v. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -954 - -956. Solve -q*c + 26 = 2*y + 3*c, 2*c = 8 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that -2*w**4\/3 + 6*w**3 - 46*w**2\/3 + 2*w + 24 = 0.\nAnswer: -1, 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = s**2 + 11*s - 9. Let b be q(-12). Suppose -g + 356 = b*g. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 525 is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/101? (a) -0.1 (b) 2\/11 (c) 3 (d) 0.9 (e) 0.292\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.0724 from 0.31.\nAnswer: 0.2376","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -2*m**2 + 2*m**2 + m**2 + 3*m**2. Let a(y) = y. Determine n(a(l)).\nAnswer: 4*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -3*a**3 + 2*a - 1. Let i be o(1). Let j(l) = -3*l**3 - 2*l**3 + 1 + 7*l**3 - l**2 - 3*l**3. Determine j(i).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + (0 - 5) + 1.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 109661663?\nAnswer: 31, 569, 6217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 509362.9 weeks to days.\nAnswer: 3565540.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ovvoovvvvv. Give prob of sequence ovv.\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 2 = 4*i - 3*i, -5*o - 4*i = -8. Suppose -3*s + 4*s - 68 = o. Suppose 4*k + 4*d - s = 0, k + k - 31 = d. Is k less than 15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (481\/91 + -5)\/(36\/(-763)) and 17\/162.\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*g = -0*g + 108 for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -4*t**2 - 2*t + 8. Let k(w) = w**2 + 4*w + 1. Give -f(y) - k(y).\nAnswer: 3*y**2 - 2*y - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -93079805 by -71435.\nAnswer: 1303","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 486.6267 litres to millilitres.\nAnswer: 486626.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + (86 - 95 - (-2 + -12))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*f**4\/9 + 1418030*f**3\/9 - 2836052*f**2\/9.\nAnswer: -2*f**2*(f - 709013)*(f - 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 278285 is divided by 139007.\nAnswer: 271","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 17dd (base 15) to base 16\nAnswer: 1426","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8778 is divided by 7272.\nAnswer: 1506","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5443 - 5448. What is the nearest to 3\/8 in d, -0.037, -1?\nAnswer: -0.037","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 911359 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: What is the greatest common divisor of 36 and 1548?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 4*w - 3*w + 6*w. Let m(d) = 3*d + 4. Let a(o) = -7*o - 10. Let t(c) = 4*a(c) + 10*m(c). Calculate t(p(b)).\nAnswer: 14*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -14*g - 18. Calculate a(9).\nAnswer: -144","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 151 and 5587?\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -589634*t**4 - 723487 wrt t?\nAnswer: -2358536*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -95 * -4\nAnswer: 380","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8274 + -8274. What is the closest to u in -164, -0.04, -5, -2?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 21104*u*y**5 - 2*u*y**2 + 2*u*y - 3016*u - 3*y**3 wrt y.\nAnswer: 1266240*u*y**2 - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -83080 (base 10) in base 4?\nAnswer: -110102020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 280*g + 228*g - 820*g + 12792 = 0 for g.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*l**3\/5 - 840*l**2 - 8520*l = 0. What is l?\nAnswer: -10, 0, 710","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -f**3 + 6*f**2 - 6*f + 6. Let r(v) = v**2 + 1. Let m(z) = -5*z**3 + 33*z**2 - 35*z + 33. Let t(i) = -m(i) - 2*r(i). Calculate -35*c(j) - 6*t(j).\nAnswer: 5*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 30\/4 + (-2)\/4. Suppose -l*y - 31 = -472. What is the units digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1017.004 millennia?\nAnswer: 12204048","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 270?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - (0 - 4) - (-3 + -5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o when two letters picked without replacement from ooooooeooooooooooe.\nAnswer: 40\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 71676820 divided by 10.\nAnswer: 7167682","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 852, 1736, 2690, 3750, 4952, 6332, 7926?\n\"Answer: 6*c**3 - c**2 + 845*c + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 155 + 986*o - 400*o + 186 - 76.\nAnswer: 586*o + 265","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 a when two letters picked without replacement from {j: 1, a: 3, i: 1, o: 2, e: 4}?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-9 + 4 + -2 - 59\/(-472)*92)*30\nAnswer: 135","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-7)\/((-7)\/(-3)) + 4. Suppose -3*t = m - 7. Find the third derivative of -266*o + 8*o**t - 6*o**3 + 266*o wrt o.\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2*r + 6*r - 2*r)*(3 - 2 - 2) + r + 3*r - 3*r - r - 3 + 3)*(-r**3 - r**2 + r**2).\nAnswer: 2*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -3\/5, -1.1, -3?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -52\/21 and -16\/5631.\nAnswer: 39417","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3126508 and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v + 3050*r - 1 = 3051*r, 3 = -4*v + 3*r for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1\/2*(10 - -2). Suppose 0 = -o - 0*i + 2*i - 2, -2*o = i - u. Let p(r) = 2*r**3 - 3*r**2 - r + 2. Is p(o) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 3*p - 1066 = 2*p, 0 = 3*i + 2*p - 634. List the prime factors of i.\nAnswer: 2, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 36b2 + 0?\nAnswer: 36b2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1 and -137.39?\nAnswer: 138.39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 2*d + 15. Let l(k) = -2*k - 15. Let a(z) = -4*l(z) - 3*u(z). Let p be a(-7). Let o be (1\/1 + -1)\/1. Solve o = -4*m + 7 + p for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/(50\/4)*(-5)\/(-14)?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.13 and -0.1585?\nAnswer: -0.020605","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 13178, 12420, 11666, 10916, 10170, 9428?\n\"Answer: 2*b**2 - 764*b + 13940","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1599, 3214, 4815, 6402?\nAnswer: 7975","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.9 + -0.2. Let y = -0.5 + v. Let g be 12\/(4 - 2) + 20 + -22. What is the second smallest value in -1\/4, y, g?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 144 and 621?\nAnswer: 9936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1232 and -200?\nAnswer: 246400","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = w - 7. Give o(-11).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/5 in 2, -0.09, 5?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:15 PM and 3:02 AM?\nAnswer: 647","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 23 - 7 = 0. Suppose 4*d - 26 = -s. Let g(q) = -q + 2. What is g(d)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 232 and 145.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let -w**3 + 98410*w**2 - 46868617*w + 5593973772 = 0. Calculate w.\nAnswer: 239, 97932","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that 3*o**5 - 9*o**4 - 33*o**3 + 9*o**2 + 30*o = 0.\nAnswer: -2, -1, 0, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 1011*b - 34 = 1007*b, -3*i - 21 = -3*b. Put i, 0, -2323 in ascending order.\nAnswer: -2323, 0, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -104955 and -0.3.\nAnswer: 31486.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/(-2)*-12*(-56)\/(-144).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 243875.\nAnswer: 5, 1951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 3068178?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(3\/5)\/b)\/(b\/(b**(2\/9)*b)))**(1\/13) assuming b is positive.\nAnswer: b**(-8\/585)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 35596275443 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 10.867 + -10.38. Let s = 0.013 + i. Sort s, 0.4, 1\/5, -7 in decreasing order.\nAnswer: s, 0.4, 1\/5, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 3*m + 49. Let j(c) = -3*c**2 + 90*c - 101. Let p be j(29). What is b(p)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1 - 0\/8)\/(1 + 0). Let c = 404 + -424. Put 2, x, c in descending order.\nAnswer: 2, x, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 191.974356 hours to weeks.\nAnswer: 1.1427045","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3, 1\/6, -2\/11, 23.6?\nAnswer: 23.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 19\/363 + -2492\/605. Let c = -39\/10 - f. Let r = 3 - 0. What is the smallest value in r, -1\/5, c?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 166 minutes after 3:09 AM?\nAnswer: 5:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 771 by -1.\nAnswer: -771","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1025)\/123*(-9)\/15.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -8 + 69*t - 147*t + t**2 + 62*t. Let p(j) = j**2 - 18*j - 8. Let s(v) = 5*p(v) - 6*y(v). Calculate s(7).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 34 and 51464.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*l - 3*l + 2*l)*(112 - 57 + 174 + (2 - 4 + 3)*(-1 - 2 + 1) - 4 + 6 + 0) to j*l + b and give j.\nAnswer: -229","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4428505?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -2, 1.4, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.17848 to two decimal places.\nAnswer: 0.18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -122*z**3 - 141*z**3 + 7*z**3.\nAnswer: -256*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 878 - 599. Let x = j + -3067\/11. Let k = 0.02 + -0.32. Which is the nearest to x? (a) k (b) -2 (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2311 + -1588. What is the units digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*f**2\/25 - 24088*f\/25 - 24086\/25.\nAnswer: -2*(f + 1)*(f + 12043)\/25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31 = -39*v + 220 - 1593 for v.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 7*m**2*u**3 - m**2*u - 9*m**2 + 6*m*u**2 + 3*u**5 + 5*u wrt u.\nAnswer: 42*m**2*u + 12*m + 60*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.34 + 1.04. Let l = -1.1 + 1.2. Suppose 0*u + 2*u + 21 = -5*x, 5*x - u = -12. What is the nearest to l in -2, x, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = -3*d - 2, 2*q = 2*d - 12. Let h = q + 5. Let v = -1 + h. What are the prime factors of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 10 = -4, 2*k = -4*u + 152. Suppose 5*y - u = -8*w + 5*w, 0 = -4*w - 2*y + 38. List the prime factors of w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -12392735*f**2 - 10016696*f?\nAnswer: -24785470","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 2*n + 5. Let p = 150909 + -150922. Let u be 1 - 7 - (-1 + 1). Let m(b) = -b - 2. Calculate p*m(h) + u*t(h).\nAnswer: h - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -b**3 + 10*b**2 - 2*b. Let h be i(4). Suppose -4*d + h - 28 = 0. Solve 0*q - d = 3*q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7136 = -2*x - 2*j, 0 = -j - 49 + 45. What is the highest common factor of 76 and x?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d**2 + 49. Calculate the lowest common multiple of 714 and v(-11).\nAnswer: 3570","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the first derivative of -o**2\/2 + o - 1. Let f(r) = -5*r + 2. Let l(i) = -f(i) + 6*w(i). Calculate the remainder when l(-7) is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*p - 22510 = 6029. What is the greatest common factor of p and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 596 (base 11) to base 5\nAnswer: 10320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2 - 4 - (-9 - -2). Suppose 80 + 114 = g*j - 2*u, -4*j = -5*u - 145. What is the tens digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 2*f = 4*i - 45, 0 = -5*i + 5*f. Suppose -i*q = -20, 3*a + 16 - 130 = -3*q. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 5 - 2840?\nAnswer: -2835","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -161.6 - -161.600090331. What is n rounded to six decimal places?\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 57624 and 168.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is (((-2)\/(-3))\/(-2))\/(2\/(-7554)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 2*g - 3*g + 116 = 0, -96 = 2*w + 4*g. Let s be 8\/(w\/(-49)) - 4\/2. Solve 8 = s*l + 3 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 36 in 3\/2, 0.5, -10?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 0, -3, 4, -2, -369, 39 in decreasing order.\nAnswer: 39, 4, 1, 0, -2, -3, -369","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(g*g*(g\/(g\/g**19))\/g))\/g**(-2\/55)*g**(2\/19)*g**(-4\/13)\/g*g assuming g is positive.\nAnswer: g**(-260371\/13585)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 21066500.4 to the nearest 100000.\nAnswer: 21100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -2*l. Let g(w) = 3*w**2 + 5*w + 5. Suppose 6*p = 2*p + 20. Let d(m) = -3 + 6 - 3*m**2 + 3*m + p*m**2. Let n(u) = -5*d(u) + 3*g(u). Give v(n(h)).\nAnswer: 2*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 983, 998, 1039, 1118, 1247, 1438?\n\"Answer: 2*h**3 + h**2 - 2*h + 982","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 43\/4 of a hour?\nAnswer: 38700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3394 and 558?\nAnswer: 946926","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 24970207?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 11*x**2 - 7*x - 3. Is a(5) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nn when two letters picked without replacement from {b: 4, n: 3, y: 1, m: 2}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-9)\/(-21))\/(2\/(-2)).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 7, 0, -2\/31, 0.019, 0.0328?\nAnswer: 0.0328","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -11 in 1, 8, -0.7, 0.16, 0.3?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 + (5 - (-14 + (15 - 8 - 7)))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4\/3 (b) -0.11 (c) -1.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48*u - 2553*a + 2554*a - 240 = 0, 4*u = 2*a - 20 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 274931820 divided by -15273990\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -w + 30. Let j(u) = -3177*u - 3. Give j(n(k)).\nAnswer: 3177*k - 95313","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 39428064.\nAnswer: 2, 3, 13, 10531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = 4*s + 10, 5*b + 170 = -5*s. Is (14\/(-4) - -1)*(b - 1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = -0*p - 8. What is the third derivative of q**2 + 0*q**2 + 2*q**2 - 4*q**2 + 3*q**p wrt q?\nAnswer: 72*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:45 PM and 1:26 AM?\nAnswer: 401","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s, 2 g, and 1 x when four letters picked without replacement from nxisggiigfif.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 23\/22 and 4 + (-1 - (-42)\/36).\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-6)\/(-10)*(-30)\/(-7 - -1). Suppose -l*m + 3*k + 103 = 8*k, 3*m - 4*k - 85 = 0. Suppose m = 3*v + 49. Put -0.1, -1, v in increasing order.\nAnswer: v, -1, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 480 = 449*v - 369*v for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**12*k**(-1\/12)\/k)**(4\/19)\/(k*k*k\/(k**(-2)*k*k)*(k*(((k**6\/k)\/k)\/k*k)\/k)\/k*k*(k**(2\/7)*k)**23) assuming k is positive.\nAnswer: k**(-13675\/399)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -w**3 + w**2 + 2*w + 2. Let j be l(-2). Let h = j + -7. Let q(z) = z**3 - 3*z**2 + 1. Let m be q(3). What is the highest common factor of h and m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*n + 29 = 77 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -33\/29 + 1619\/174. Let t = 1\/419 - -5445\/838. What is the common denominator of t and p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 1185*p - 394*p - 393*p - 405*p. Let f(d) = 3*d**2 - 48*d. Determine f(j(m)).\nAnswer: 147*m**2 + 336*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4136681, -4136679, -4136677, -4136675, -4136673, -4136671?\nAnswer: -4136669","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d - 65575 = -4*u - 65581, u = -4*d - 21 for d.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 186*a**2 - 2*a + 16 wrt a.\nAnswer: 372","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the first derivative of 62 + 18*x + 16\/9*x**6 + 304\/15*x**5 + 505\/6*x**4 + 146*x**3 + 81*x**2. Suppose m(f) = 0. Calculate f.\nAnswer: -3, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = -2*w + 168. Suppose -6*i = i - w. Let q(r) = -r + 5. Let y be q(5). Solve 5*u = -i*n - 2, y = n + 6*u - u - 7 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 16) to base 7\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8337201 months to millennia.\nAnswer: 0.000069476675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 2*y = 3*z + 2, y = -5*z + 1. Suppose 4*c + 2*f = -f + 29, 4*f - 12 = z. Let b = -23 + 48. Calculate the highest common divisor of c and b.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 times 0.0159?\nAnswer: -0.00795","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -17098948 or -85494747\/5?\nAnswer: -85494747\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 150\/84 - (-22)\/(-77). Let p(i) = i**2 - i - 9. Let n be p(4). What is the closest to a in -1\/7, n, -4?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = g + 8. Let b be i(-5). Let n(z) = -z**3 - 6*z**2 - 6*z - 3. Let y be n(-5). Sort y, -5, b.\nAnswer: -5, y, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1300733 (base 8) in base 3?\nAnswer: -200100002112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 55293357445 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10301320312 (base 4) to base 16.\nAnswer: -131e36","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1610067.\nAnswer: 3, 71, 7559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 3*x**2 + x - 2. Let h be 2 + -1 + (-3)\/(-1). Suppose -4*o = -2*b - 0*b, 0 = -h*o - 4. Give v(b).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -30 + 11 + 0 + 54 + 1 + -8\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 4863024 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (28\/3)\/(-44*17\/1122)\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 523854, 1047692, 1571530?\nAnswer: 2095368","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8*2\/10)\/(21\/105).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -18 + 14*v + 49*v - 6*v + 18. Let m(l) = -3*l**2. Determine p(m(f)).\nAnswer: -171*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 57630*l**3 - 2*l**2 + l + 40000 with respect to l.\nAnswer: 172890*l**2 - 4*l + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q + 2*q = v + 11, 3*v = -5*q. Let t = -4 - v. Is 226\/4*2\/t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s. Let u(g) be the first derivative of -19\/2*g**2 + 0*g - 86. Calculate h(u(b)).\nAnswer: 19*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 18.03 plus -0.3?\nAnswer: 17.73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 81 + -45. Suppose -8*j + 17*j = g. What is the third derivative of -26*o**6 - j*o**6 - 15*o**2 + 16*o**6 wrt o?\nAnswer: -1680*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 2*m + 0)*(10*m**2 - 6*m**2 + 9*m**2) - m**3 + 2*m**3 + 5*m**3 as r*m**3 + g + d*m + y*m**2 and give r.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l**2 + 611999*l - 5508068. Give y(9).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 7 + (-23 - 2 - (5 - 3)).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 0 + 1)*(3 - 5 + 0)*(6*n - n + n) - n + n - 2*n + (-4 + 4 + 2*n)*(4 - 1 - 5) + 2*n - 5*n + n + 4*n - 7*n - 3*n.\nAnswer: 22*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 12 + -8. Suppose -4 = -4*o + n. Suppose 156 = 4*v + 2*r - 4*r, o*r - 156 = -4*v. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 385 to the power of 1\/3, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 j when two letters picked without replacement from {d: 1, r: 1, h: 3, j: 2}.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*l - 21569 + 21569.\nAnswer: -17*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -231*b + 1. Let o be y(-6). Suppose 0 = -15*x - 4*x + o. Calculate the remainder when 359 is divided by x.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3037746, -6075490, -9113234, -12150978?\nAnswer: -15188722","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 35\/11 + -4 - -1.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.108*4.\nAnswer: -4.432","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**7*f**16\/f*f**(-1\/4)*f**6*f assuming f is positive.\nAnswer: f**(115\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -133474*y**5 + 15*y**4 - 9513*y**2 + 229.\nAnswer: -8008440*y**2 + 360*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (11\/(-22))\/((-6)\/10).\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 20194480 and 55.\nAnswer: 222139280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -l**3 - l**2 + l + 1. Let b = 10 + -14. Let h be f(b). What is the smallest common multiple of 11 and (15\/(h\/42))\/(-1 + 2)?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*s**3 - 4 + 4 + (s + s - 11*s)*(-17*s**2 + 0*s**2 - 11*s**2).\nAnswer: 248*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/8 - (-28)\/(-48). Let v = 1\/65 - 197\/130. Sort v, f, -0.1 in increasing order.\nAnswer: v, f, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*z - 3*z = -5*f + 37, 5*z - 5*f - 75 = 0. 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 167 minutes after 10:03 AM?\nAnswer: 12:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 184 and 92.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20257154 (base 8) to base 14.\nAnswer: -7d732c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 30596662 to the power of 1\/7, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*f**4 - 93*f**3 + 435*f**2 + 525*f.\nAnswer: -3*f*(f - 5)*(f + 1)*(f + 35)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6 + 9. Suppose 3*t + 19 = o - 27, c*o = -t - 32. Let i(b) = -2*b - 31. Let l be i(t). Solve -l = -2*x + 5*x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 441 and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 11 - 10.6. Let v be (-41)\/24 + -1 + 1. Let g = -25\/12 - v. Which is the second smallest value? (a) u (b) g (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5091 = 137*q + 159 for q.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -2*o**2 + 97*o + 268. What is g(46)?\nAnswer: 498","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 216940 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -0.3+836\nAnswer: 835.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 13 and 117.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 6794 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*y - 20 - 60 = 0 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-1\/2))**(-26)*(u*u**(-4\/17))\/(u*u**(-1\/9)*u) assuming u is positive.\nAnswer: u**(1817\/153)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 2*i - 613. Let q(d) = -11*d + 3668. Give -2*q(z) - 13*v(z).\nAnswer: -4*z + 633","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of x**5 + 483*x**3 + x**2 - 3019?\nAnswer: 60*x**2 + 2898","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 289339 to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 16, 756, -28, -10, -3 in ascending order.\nAnswer: -28, -10, -3, 16, 756","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1332*x + 20 + 17 - 69*x - 38.\nAnswer: -1401*x - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 359.62075 + 62.3843. Let u = -422 + r. Round u to 3 dps.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -64 + 56 + -2 + -28?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4\/(-6) - 38\/(-30). Let k be ((-10502)\/295)\/(4*(-1)\/(-5)). Let w = 45 + k. Which is the second smallest value? (a) 3 (b) w (c) o (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 32*w**3 - 15*w**2 + 70*w - 47. Let b(q) = -6*q**3 + 3*q**2 - 13*q + 9. Let c(a) = -11*b(a) - 2*g(a). What is c(2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tq when two letters picked without replacement from emtmbqw?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -3*c - 16. Let i be l(-6). Let f be 4\/(6 - 4)*i. Solve 3*y - 5*y + f = 0 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 360368*o**3 + 2451*o**2 - 13*o + 1 wrt o?\nAnswer: 2162208","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -m**3 - 9*m**2 - m - 6. Let b be r(-9). Suppose -2*y + 2*g = -16, 5*y + 0*g = -b*g + 48. Suppose -7*h + y*h - 136 = 0. Is 16 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 2 - 10*j**2 + 2*j**2 + 4 + j**3 + 7*j. Let z be b(7). Let m(u) = 4*u + 3. Let l(c) = -9*c - 7. Let g be 1178\/93 - (-4)\/3. Calculate g*m(t) + z*l(t).\nAnswer: 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 2\/17 (b) -114 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -z**3 - 2*z**2 + 17*z - 8. Let p be m(-6). Find the first derivative of 38*g**4 - 12*g**2 + 12*g**2 - 6*g**4 + p wrt g.\nAnswer: 128*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bn when two letters picked without replacement from {o: 2, n: 5, d: 3, b: 2, k: 3}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 104*i**3*m**2 + 90929*i**3 + 2292312*i**2*m**2 + 23*m**2 wrt i?\nAnswer: 624*m**2 + 545574","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -1 + 2 + 0. Let k(v) = -v**2 + 3. Let x(j) = -5*c(j) + k(j). Let r(i) = -i**2 - 2. Let y be (10\/6)\/((-5)\/(-6)). What is y*r(b) - 3*x(b)?\nAnswer: b**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 6*t + 1. Let b = 80 - 78. Suppose 2*c + 20 = 4*a, 5*c = b*a - 8 - 10. Determine m(c).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1148 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -l - 2*l + 229846 + 38728.\nAnswer: -3*l + 268574","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12, -2, -1, -3, -1\/2 in increasing order.\nAnswer: -3, -2, -1, -1\/2, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 702131 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 637535903 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + 1 + sqrt(700) + 0 + 3 + 4 + (-3*sqrt(700)*-1 - (sqrt(700) - -1*(-1 + sqrt(700)))) + 1)**2.\nAnswer: 520*sqrt(7) + 2969","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = w**3 + 191*w**2 - 10641*w - 4944. Calculate x(-236).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - (4 + (-4 - -12)) - -4.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 225, 224, 223?\n\"Answer: -f + 226","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4*(-1 + -1) + (-2 - (25 - 37))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = a**2 + 22*a + 10. What is h(17)?\nAnswer: 673","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 6 - 1)*((2 + 2*r - 2)*(-3 - 8 - 12) - 2*r - 3 + 3) to h + b*r and give b.\nAnswer: 288","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -2*y + 37. Let c(a) = a**2 + 6*a + 10. Let v be c(-7). Let g be j(v). Suppose 12 = -g*f - 0*f. Which is smaller: f or -0.2?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20.4858342 milliseconds in days?\nAnswer: 0.0000002371045625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -2924*l**3 - 18*l**2 - 6*l + 6. Let w(o) = -26315*o**3 - 165*o**2 - 55*o + 55. Calculate -55*m(y) + 6*w(y).\nAnswer: 2930*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -58908 divided by 6\nAnswer: -9818","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -119*a - 1. Suppose 2*p - 3 = 4*t + p, 5*p = 5*t. Let k be h(t). Suppose -i - 4*s = -27, 5*i - s = -4*s + k. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 52452*s - 839229. What is t(16)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 10 = -4*a, -91*l + 89*l + 3 = -5*a. Solve 2*r = 6*r - y + l, -4*y = 3*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (18 - 6 - 4) + -4 + 7.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in 2\/11, -0.0308, -23, 6, -1, -19?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 3 + 14*x - 17*x)*(2 - 2 - 4*x**2).\nAnswer: 12*x**3 + 12*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 10, 24, 64, 142, 270, 460, 724?\n\"Answer: 2*h**3 + h**2 - 3*h + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 0 - 3*l**2)*(-4 + 7 + 5)*(-2*l - 2*l + 3*l) in the form g*l + t + s*l**3 + i*l**2 and give s.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -249 in 5, -2\/3, 1\/4, -4\/3?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 28 + 364 = 0. Calculate the smallest common multiple of v + -3 + 9 + 0 + 0 and 3.\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ayoa when four letters picked without replacement from {o: 1, t: 1, a: 1, m: 1, y: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1\/(2 - (-27)\/(-15)). Let i be w\/25*(0 - -1). Sort 0, i, -3 in ascending order.\nAnswer: -3, 0, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -26*l**2 - 917*l - 1950. What is i(-33)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4426 - 4423. Let n(v) be the second derivative of 0*v**2 + 0 - 1\/24*v**o - 1\/48*v**4 + 5*v. Factor n(b).\nAnswer: -b*(b + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(176) - (-2 + sqrt(176))**2 - (sqrt(11) + 0)*-2.\nAnswer: -180 + 22*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -18970 + 36593. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 166 is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2318?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 226*z**3 - 8*z**2 + 42*z - 100. Suppose 3*v + 113 = d, -4*d + 142 = -5*v - 37. Let l be g(v). Round l to the nearest one million.\nAnswer: -13000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 u when two letters picked without replacement from ruyrrmh?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/(-10)*(100\/18)\/5\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = -267 - 77. Let d = o + -85. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 8\/(-6)*-1*(21 - 27). What is the common denominator of (-1)\/4 - (a + 326\/24) and -47\/15?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1ba5926 + 0?\nAnswer: 1ba5926","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -42 + 41. Let s = 41 - 82. Let r = s - -38. What is the second smallest value in -1\/6, g, r?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 69577728 to the nearest integer?\nAnswer: 411","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, 2\/3, -0.2, -61 in ascending order.\nAnswer: -61, -0.2, 2\/3, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 148463\/550 + -2951\/11. Find the common denominator of (-2)\/((-158464)\/(-1760) - (-10)\/(-275)) and k.\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(80) + 5 + -1 + (sqrt(80) - (0 + sqrt(80) + 4)) + -3)**2.\nAnswer: 24*sqrt(5) + 89","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7419.\nAnswer: 3, 2473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**3\/4 - 114*w**2 - 928*w.\nAnswer: w*(w - 464)*(w + 8)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -281, -557, -833, -1109, -1385, -1661?\n\"Answer: -276*b - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -202200 (base 3) to base 7.\nAnswer: -1425","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 12*k - 29823 - 112473. Suppose 6 = 3*o - 0. Suppose -j + k = 5*z, -j = 2*z - o*j - 4739. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7)\/21 + 2*(-1)\/6.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 952406034?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - i - 62 = 0, -2*s = -7*s + i + 152. Let u = 306 + -301. Suppose u*z = 4*c - 48 + 5, -4*c + 53 = 5*z. What is the highest common divisor of c and s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 733 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/((r\/(r\/(r*(r**(-3)\/r*r)\/r)*r))\/r)*r**(-2\/11)\/r*r)**(2\/67) assuming r is positive.\nAnswer: r**(128\/737)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, -4, 0, 13, 26 in descending order.\nAnswer: 26, 13, 10, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by -2161654.\nAnswer: 1\/2161654","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-19800)\/96)\/55)\/(35\/84)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1208, -1694, -3018, -5600, -9860, -16218, -25094?\nAnswer: -36908","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*w - 5*s - 123, -w + 9 = 4*s - 33. What is the remainder when w is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1002102262?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 842865.3172 + -5.1\nAnswer: 842860.2172","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 32*m*u**2 - 62*u**2 - 4*u + 2 wrt m?\nAnswer: 32*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1 - -2. Let z be n*((-24)\/(-9) - 1). Suppose -z*s + v + 152 = -0*s, -2*s = -2*v - 64. Is 14 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the first derivative of 6*o**2 + 3\/5*o**5 + 4 + 3*o + 3*o**4 + 6*o**3. Find z, given that n(z) = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 328.7289ml in litres?\nAnswer: 0.3287289","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.2 or 1.16?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = -2*n - 6, 4*n - 3*r + 5*r = -2. Factor 7*o**n - 2*o - 10*o**2 + 0*o**2 + 5*o**2.\nAnswer: 2*o*(o - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -bbb21 (base 12) to base 13\nAnswer: -8928a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -17 - (38 - 27706\/504)\nAnswer: -1\/36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -54590341 or -54590342?\nAnswer: -54590342","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 24210.01 millilitres to litres.\nAnswer: 24.21001","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2061081875\/3204 + 643284. Find the common denominator of z and -101\/44.\nAnswer: 35244","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1789, 1807, 1851, 1933, 2065?\nAnswer: 2259","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 3*i + 69. What is c(-12)?\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -12*x + 7*x + 7*x + 4*x. Let b(j) = -2*j. Give u(b(i)).\nAnswer: -12*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2255 and 5555?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 18508 by 1322.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 4*x - 60 = 2*i, -2*i - 5*x = -9. Let m be (-5)\/25*0 + 1. Put i, -1, m in descending order.\nAnswer: m, -1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -p + 2*p - 5. Suppose 3*z - 20 = -p. Let j be ((-4)\/z)\/((-2)\/(-10)). Do -3 and j 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 28122, 28116, 28110, 28104, 28098, 28092?\n\"Answer: -6*i + 28128","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bubuzzuz. Give prob of sequence uzbb.\nAnswer: 3\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) be the second derivative of q**6\/24 + q**5\/6 - 9*q**2 - 22*q. Let w(s) be the first derivative of o(s). Factor w(l).\nAnswer: 5*l**2*(l + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = 0, 5*f = 2*z - 599 - 585. Is z a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -79\/6 - -241\/18. Which is the nearest to -0.1? (a) r (b) 7 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cyyyyyyycycycyyyycyy. What is prob of sequence cc?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 15806508 or 15806509?\nAnswer: 15806509","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Convert 14a (base 14) to base 9.\nAnswer: 321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = g - 28, -g - 3*g + 5*w = -79. Let l be 4\/(g*-1) - (-147)\/12. Solve -l + 2 = 5*x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -347, -26, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 divided by -131.\nAnswer: -6\/131","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 355 and 497?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -13*r**3 + 5*r + 11. Let q = -9 + 15. Let v(o) = -7*o**3 + 3*o + 6. Let f(l) = q*y(l) - 11*v(l). Find the second derivative of f(b) wrt b.\nAnswer: -6*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 778, 1540, 2302?\n\"Answer: 762*i + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = p**2 + 6*p + 8. Let q be j(-6). Let x(t) = t - 10. Calculate x(q).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8.98549 + 2054\nAnswer: 2045.01451","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 165478 to the power of 1\/3, to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*y**2 + 0*y**2 - 2*y**2)*(3 + 3 - 4) + (-3 - 3*y + 3)*(9 + 4*y - 9) - y**2 + 3*y**2 - y**2 + 0*y**2 + 0*y**2 + y**2.\nAnswer: -2*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 2*j + 3 + 5 = 0, j = -2*i - 1. Let v = 3 - 3. Suppose 15 = -v*b - 3*b. Put 4, b, i in decreasing order.\nAnswer: 4, i, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 48 and 43056?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -37\/2, -7, 2\/7?\nAnswer: -37\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 30 and 144?\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -27, -36 in increasing order.\nAnswer: -36, -27, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*j - 4*j - 9. Suppose l - 2*c - 9 - 1 = 0, -4*c = j*l. Solve -y = -l*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11047.\nAnswer: 11047","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -2159270 to the nearest 100000.\nAnswer: -2200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -79*g + 71*g - 56 = 0 for g.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -p**2 - 13*p - 7. Let z be y(-11). Let t be z\/25 + -1 + 12\/5. Let h be 7 + (-1 - 2) + t + -2. Solve 2*a - 7 = b, -29 = -2*b + 7*b - h*a for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 0.02, 0, 4, 71?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -v**2 + v - 4*v**2 + 6*v**2 - 5*v. What are the prime factors of y(7)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -z**3 + 3*z**2 - 2*z + 3. Let h be p(2). What is the second derivative of 9*k + 3*k**3 - 9*k**3 - k**h + 0*k wrt k?\nAnswer: -42*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -25*s**2. Let o(l) = 5*l**2. Give o(n(b)).\nAnswer: 3125*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3462 - 2634 + 212)*(-4*l + 2*l + 0*l) in the form q + c*l and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*i + 12 + 2 = 0. Factor -2*f**3 + 3*f - 19 + f - 36*f**i + 40 - 2*f**3 + 15.\nAnswer: -4*(f - 1)*(f + 1)*(f + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20993.9 decades to centuries.\nAnswer: 2099.39","meta":{"dup_signals":{},"source":"measurement__conversion_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: Calculate (-34)\/72 + -2 - (-549)\/244.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -903, -74, 1307, 3240?\n\"Answer: 276*a**2 + a - 1180","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30760*j + 240 = -30790*j for j.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2 + -5. Let p = 54 - 19. Let l = p - 33. Which is the third smallest value? (a) l (b) z (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 73 (base 12) to base 11.\nAnswer: 7a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 2 = -4*t, 5*t + 5 = 2*z + 2. Let l be ((-6)\/4)\/(z\/2). Calculate the highest common factor of l and 24.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 2*c**2 - 13*c + 14. Let k be 435\/85 - 2\/17. Let a be m(k). Is 49\/(((-1)\/(-5))\/(a\/(-5))) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 13*s - 50. Give x(6).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n. Let o(z) = -3*z + 3*z**3 - z - 2*z**3 - 3*z**2 + 7*z**2 + 7. Let v be o(-5). Determine r(v).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -2*a**2 - 3 - 2*a**2 + 4*a - 3*a + 5*a**2. Is o(3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wzbpp. What is prob of picking 1 w, 1 z, and 1 b?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7 - -4. Let u(x) = -6*x - 3. What are the prime factors of u(z)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = m**3 - 9*m**2 + 25*m + 5. Let r be h(8). Let v = r - 144. Sort -21, v, -5 in increasing order.\nAnswer: -21, -5, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d*d**(2\/15))\/(d\/(d*(d\/(d\/(d*d**6*d))*d)\/d)))\/((d*d*d**(-1\/8)*d)\/(d\/d**(-4\/7))))\/((d**(2\/5))**33\/(d**2*d*d*d**(3\/11)*d)) assuming d is positive.\nAnswer: d**(-901\/9240)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 22.0715 + -21.991. Which is bigger: 0.04 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -17\/80 and -91\/15?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s = -2*z + 10, 4*z - 9*z + 17 = s for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (-3 + sqrt(38)\/(sqrt(2) - sqrt(8)) + 3)**2 + sqrt(114)\/(1*sqrt(726)) + 5.\nAnswer: sqrt(19)\/11 + 21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 33413787853 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 94.16547m in kilometers?\nAnswer: 0.09416547","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of 5 and 29.626.\nAnswer: 148.13","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2078250 = -25024*w - 48790 for w.\nAnswer: -85","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is (-22)\/8*((-1275)\/1 - -3) a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1988026 is divided by 2201?\nAnswer: 523","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-1\/11))**(1\/3)\/(((j*j\/(j*j**(3\/11))*j)\/j)\/(j*j*j*j**(-3)*j)) assuming j is positive.\nAnswer: j**(8\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1767 + 120223\/68. Find the common denominator of -71\/16 and t.\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 161191916 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 101*c**3 - 2*c + 79*c**3 - 12*c - 193*c**3 + 14*c.\nAnswer: -13*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 136 - 134. Which is the second biggest value? (a) 5 (b) x (c) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.4048 + 0.0572. Let g = f - 0.082. Let o = 0.379999957 - g. What is o rounded to 7 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -4*w - 5*m, 3 + 1 = 5*w - 3*m. Let j = 0.5 - 0.53. Let t = j - -3.03. What is the closest to t in w, -0.4, 0.4?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 119*s - 26 + 70 - 19 - 24.\nAnswer: 119*s + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1916612?\nAnswer: 2, 479153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v and 2 l when four letters picked without replacement from {v: 1, d: 5, o: 5, l: 8}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 6 and 110.29588158?\nAnswer: 104.29588158","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = k + 6. Let v be z(-10). Let g = v + 6. Suppose 3*q = -g*q. Solve q = -5*x + 11 + 4 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -149*h**3 + 196886*h**2\/7 - 9169115*h\/7 - 11588100\/7.\nAnswer: -(h - 95)**2*(1043*h + 1284)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1767 is divided by 66?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 10\/((0 - -2) + -1). Let n be -17 + -1 + 264\/(-10 - -21). Solve -4*z + n = -b for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -836 + -2234384.9?\nAnswer: -2235220.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the second derivative of 11\/10*j**5 - 2*j - 1\/2*j**2 + 0 + 0*j**4 + 1\/6*j**3. Is a(1) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -101100001010101 (base 2) to base 10.\nAnswer: -22613","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -2 + 1 - 1*-13. Let d be 27\/s + (-2)\/8. Let l(b) = b**3 - 4*b**2 + 4*b + 1. Let c be l(3). Solve 4 = -c*a - d*x, -x + 15 = -a + 2*x for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 * 0.049.\nAnswer: -0.098","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2 and 1417?\nAnswer: 2834","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = k**3 + 9*k**2 - 11*k - 7. Let u be j(-10). Suppose u*r + 1 = 43. Suppose 5*z - 63 = 4*s, -2*z - 4*s = -0*s - r. Does 3 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -2*x + 3. Let u(h) = -h**3 - 5*h**2 + 5*h - 3. Let d be u(-6). Suppose -d*b = -b - 4. Determine v(b).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((1 + sqrt(720) + 3 + 4 - ((sqrt(720) + (sqrt(720) - (sqrt(720) + 1 + -5)))**2 - (4*(sqrt(720) + sqrt(720)*2 + sqrt(720)))**2)) + 2).\nAnswer: -917970 + 420*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/4, -0.1, 3, 38.8189, -1\/81?\nAnswer: 38.8189","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 311132 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8504173*k + 8504173*k - 10*k**2.\nAnswer: -10*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Solve -172 - 60 = -29*c for c.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 6*l**2 - 119*l + 11. What is the remainder when 45 is divided by d(20)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 207 divide 1410012?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/(((-6)\/(-30))\/(26\/(-65))).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = -3*w + 12, -11*r = 5*w - 14*r - 20. Solve w*n = -x - 3*x, -2*n - 6 = 4*x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 627508?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = y - 7, y - r + 3 = 7. Let m = 3.92 + 0.08. Which is the closest to -1? (a) -0.5 (b) m (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 465962?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11 - 5*x + 32*x + 3 - 14.\nAnswer: 27*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -267*h**2 + h - 1439*h**3 + 719*h**3 + 721*h**3 to the form q*h + n*h**2 + o + s*h**3 and give n.\nAnswer: -267","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-24 - -30) + -41 - -30?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -14*d**2 + 8*d + 81. Let h(c) = 57*c**2 + 75*c - 152. Let r(w) = 75*w**2 + 97*w - 203. Let g(a) = -13*h(a) + 10*r(a). What is 8*g(y) + 5*p(y)?\nAnswer: 2*y**2 - 27","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 31, 2508, -3, 2, 4, -1 in ascending order.\nAnswer: -3, -1, 2, 4, 31, 2508","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 91*y - 84*y - 14 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 0.2, -1, 3 in decreasing order.\nAnswer: 3, 1, 0.2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -13 - -15. Sort 0.4, 8, w in increasing order.\nAnswer: 0.4, w, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (15\/6 + -2)*(-18)\/(-3). Solve u = i + 5*u + 13, -4*i + x*u = 14 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 66344190 to the power of 1\/4, to the nearest integer?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (-6*sqrt(288) - sqrt(288)) + 5 + 4 + 5 + sqrt(288) + -4)**2.\nAnswer: -1008*sqrt(2) + 10417","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 83 + 12*u**3 + 80 - 161 in the form d*u**2 + a + n*u + o*u**3 and give o.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 179799276 and 850.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 580243 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 59 divided by -3199.\nAnswer: -59\/3199","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = 100 - 16. Suppose -t - 3 = 0, -4*t + 33 = 2*h - v. Does 27 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the second derivative of a**5\/20 + a**4\/2 - 3*a**3\/2 - 5*a**2 + 3*a. Let g be w(-7). Solve g*r + t + 17 = 0, -10 - 8 = 4*r + 2*t for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22\/56 + 27\/(-189).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = 9*r + 24. Let p be ((-9)\/6)\/((-2)\/(-12)*r). Find the second derivative of -p*g**4 - 10*g - 71 + 71 wrt g.\nAnswer: -36*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 2, -14, 3, -5, -180 in descending order.\nAnswer: 3, 2, 0, -5, -14, -180","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 18545 + -15659. Calculate the greatest common factor of j and 888.\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 231452241 and 24?\nAnswer: 1851617928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -q. Let w(a) = 21*a**2 - 158*a + 12. Determine f(w(t)).\nAnswer: -21*t**2 + 158*t - 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-4 + (sqrt(252) + -2)*6 + -2*(sqrt(252) + 1 + sqrt(252))**2*4).\nAnswer: -8088 - 156*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 174334481?\nAnswer: 19, 337, 1433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 965963 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: Round -5116571.76 to the nearest ten thousand.\nAnswer: -5120000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 95 + -68. Let v = 28 - q. Let k = -1.1 - -1. What is the closest to v in 0, k, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3392 is divided by 170?\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1 - 1)\/(-5 + (6 - 3)). Is q - 0 - (-88 + -10) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 658 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q**5 - 13197*q**4\/7 - 260118*q**3\/7 + 433848*q**2\/7 - 160512*q\/7 = 0. Calculate q.\nAnswer: -608, -22, 0, 4\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -8\/49 - 43\/637. Calculate the common denominator of 13\/6 and w.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ujjtttuuuuj. What is prob of picking 1 t and 2 j?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 199695658 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 9, 6113, -29?\nAnswer: 6113","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 29.432723 - 29.42. Round k to four dps.\nAnswer: 0.0127","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-15)\/(-149 + 162 - (13 - 1)).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1189240 is divided by 850?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a litre in millilitres?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = -7*d + 23 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -235*d**2 - 3 + 9931*d - 33 - 9907*d - 92*d**2 wrt d?\nAnswer: -654","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3649*x**2 - 1225*x**2 - 1220*x**2 - 1213*x**2.\nAnswer: -9*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = r - 2*r + 2*r. Let o(w) be the second derivative of w**7\/630 - 5*w**4\/12 + 7*w. Let k(v) be the third derivative of o(v). Determine k(b(q)).\nAnswer: 4*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 50*i - 59*i - 630. Suppose 2*j + y + 79 + 14 = 0, 5*j + 4*y = -225. Let m = j - i. Is m greater than or equal to 20?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 54.32553 millilitres?\nAnswer: 0.05432553","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1139 - 1129. Calculate the least common multiple of c and 852.\nAnswer: 4260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -2*q + 6. Let m(g) = -g**3 - 4*g**2 + 10*g - 14. Let c be m(-6). Let x = 1 - c. Let z be y(x). Solve z*h - 5 = h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from msljxjjjms. Give prob of picking 1 j and 1 l.\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -170*m**6 + 168*m**2?\nAnswer: -20400*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 88 and 11?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + a**2 + 0)*(-1 + 3*a + 1) - 1528 + 1528 - 164*a**3.\nAnswer: -161*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 1, w: 1, k: 1, a: 1, n: 1, f: 2}. What is prob of sequence eaw?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 132948941 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = -5*w - 7, -6 = 3*w - 0*w. Let t be 7 + 0 - b\/3. Is (3\/t + -1)*-22 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the first derivative of 0*v + 0*v**5 - 8\/3*v**6 + 4\/3*v**3 - 6 + 0*v**2 + 0*v**4. What is the third derivative of m(p) wrt p?\nAnswer: -960*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -6*j**3 + j**2 - 1. Let p be d(-1). Find the common denominator of (-10)\/25*p\/8 and (-145)\/(-7)*(-2)\/(-5).\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 5*h = -10*h + 35, 3 = 3*y - 3*h. Let a be ((-1)\/(-1))\/(4\/8). Find the third derivative of y*m**a - m**2 - m**2 - m**6 wrt m.\nAnswer: -120*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 64 + -84. Let v = -34 + o. Calculate the common denominator of (-4)\/6 + v\/(-8) and 101\/14.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 minutes before 11:50 AM?\nAnswer: 11:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15 - (2 + 7) - 20.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -13*g + 276. Let s(d) = 11*d - 278. Calculate 6*a(y) + 7*s(y).\nAnswer: -y - 290","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - (-33 + 22 - 10) - 15) + (4 - -1).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = j**2 - 12*j - 28. Let a be n(14). Put -3, 3, a in ascending order.\nAnswer: -3, a, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.0723 - -10.0723. Which is smaller: 7 or j?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*m**3*s**2 + 2*m**3*v + 117*m*s**2 + 5027320*s**2*v - 16*s**2 with respect to v.\nAnswer: 2*m**3 + 5027320*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 30909.1 - 30909. What is the closest to 1\/3 in q, 483, -5?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 2*o**2. Let u(z) be the third derivative of z**5\/2 - 205*z**2. What is u(d(p))?\nAnswer: 120*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 138617 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-14 - -12)*(-1)\/15. Which is the third biggest value? (a) w (b) 1 (c) 0.04 (d) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*h + 1402*h**3 - 14*h - 1398*h**3 + 7*h - 9 + 14*h.\nAnswer: 4*h**3 - 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + (-22)\/154 + (-5)\/14.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 18 + -29?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 288*c + 163*c = -654*c - 40885 for c.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -225 * 743\nAnswer: -167175","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -26213939 divided by 26213939.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -52 + 42 - (3 + (-7 - 0)) - 0 - -10.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -2*y**2 + 3*y. Let n be t(3). Let a = -10 - n. Let g be (-1)\/2*(5 - -1). Which is smaller: a or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1 - 175542?\nAnswer: -175543","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 306935680 - 64456374589\/210. Let w = j - 3963\/7. Calculate the common denominator of w and (-2)\/(-12) + 44\/(-18).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 2*i**2 + 2. Let u(p) = -8*p**2 + 4*p - 5. Let w(c) = -3*a(c) - u(c). What is w(3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o and 1 w when three letters picked without replacement from {w: 2, y: 1, o: 2, u: 7}.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:55 AM and 2:07 PM?\nAnswer: 372","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 7044256 a multiple of 184?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9779241?\nAnswer: 3, 1553, 2099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(2\/9))**(6\/19)\/(((a*((a*a*a**(-11)\/a*a)\/a)\/a)\/a)\/((a**(-13)\/a)\/a*a)) assuming a is positive.\nAnswer: a**(-167\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = c**3 + c**2 + 1. Let x(b) be the third derivative of 47*b**6\/120 - 2*b**5\/15 - b**4\/3 - 2*b**3\/3 - 9*b**2. Let w(r) = 12*s(r) + 4*x(r). Factor w(t).\nAnswer: 4*(2*t - 1)*(5*t + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n**(-1\/10)*n**(-2\/9))\/(n\/n**(-2\/9)*((n**(-5)\/n)\/n*n)\/n) assuming n is positive.\nAnswer: n**(581\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -103606.471 rounded to the nearest ten?\nAnswer: -103610","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(833) - (sqrt(833) - (-5 + (sqrt(833) - (sqrt(833) + sqrt(833)*-1)))))**2 + 2.\nAnswer: -70*sqrt(17) + 860","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -418*b - 2039. Calculate v(-5).\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i**3 - 4*i**2 - 29*i - 17. Determine g(8).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 556406144 a multiple of 9008?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:22 AM and 8:45 AM?\nAnswer: 323","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -44*a - 27. Is b(-10) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2515913 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -0.3*-253.85\nAnswer: 76.155","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 257 + -255. Suppose -s*p + 8 = 0, -6*i + 1428 = -2*i - 2*p. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 3*t = 0. Suppose 5*j - 10*j + 3*j**3 - 3 + t + 2*j + 3*j**2 = 0. Calculate j.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21569 = -1137*d + 78206 + 49172 for d.\nAnswer: 131","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 85, 0, -2, 4, -42.\nAnswer: -42, -4, -2, 0, 4, 85","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 8782*a**2 + 5*a + 7. Let b be h(-1). Let j = -5563 + b. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-15)\/9)\/((-2)\/6).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 935 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2651735380 to the nearest integer?\nAnswer: 51495","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 5, f: 10, c: 1, v: 1, n: 1, r: 2}. Give prob of picking 1 n and 1 v.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -984464204.62 - 17.5?\nAnswer: -984464222.12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 111732 divided by -6\nAnswer: -18622","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.03511993 rounded to one decimal place?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 2512161 (base 8) to base 2\nAnswer: 10101001010001110001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 f when two letters picked without replacement from vqwwvvnfvvvvvn?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1154.2633 - 4.\nAnswer: -1158.2633","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -25, 1, -2 in increasing order.\nAnswer: -25, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*x + 2*x - 108. Calculate the highest common divisor of x and 729.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((a + 0*a + a)*(-a - a + 6*a) + (-2*a + 2 - 2)*(-1 - 4*a + 1))*(7*a + 3*a - 18*a) in the form n*a**2 + w*a**3 + r*a + p and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 + -13)*(-1)\/3.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -15, -48, -101, -174, -267, -380?\n\"Answer: -10*k**2 - 3*k - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-8*t + 66 - 66)*(t**3 - 4*t**3 + 2*t**3) + (-252 - 23*t**3 + 252)*(25 - 25 - 19*t) to the form f*t**4 + q*t + p*t**2 + v + d*t**3 and give f.\nAnswer: 445","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 449*u**2 - 1. Let i be c(-1). Let o = 14033 - 13905. What is the greatest common factor of o and i?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5\/2 - -19\/6. Suppose -j - 26 = 3*d + 4*j, 4*d + 5*j + 28 = 0. Let a be (d - -3)\/(3\/(-5)). What is the smallest value in 4, a, p?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (sqrt(1125) - (sqrt(1125) + sqrt(1125) + 5 + (sqrt(1125) + 0)**2))*-1)*3.\nAnswer: 45*sqrt(5) + 3387","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -868, 975, -2 in increasing order.\nAnswer: -868, -2, 975","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*m - m + 88. Let r = m - -7. Let j be (5\/10)\/((-3)\/r). Are j and -8\/3 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) be the third derivative of g**6\/120 - g**5\/12 + g**4\/6 - 2*g**3\/3 - 143*g**2 + 3*g. Let a(i) = i**2 - i + 1. What is 4*a(n) + c(n)?\nAnswer: n**3 - n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (24\/5 - 6) + (-12)\/15. Let u(f) = 2*f + 15. Let n be u(-6). Let g be (n - 4) + (1 - 1). Sort v, g, 3 in descending order.\nAnswer: 3, g, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1671 + -1661.37. Let v = a - -0.37. What is the third smallest value in 2, v, -0.5?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 + 2*l)*(-3 - 2*l + 3) + l**2 + 0*l + 0*l - 62*l**2 + 51*l**2 + 36*l**2.\nAnswer: 22*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 6*o = 5*o - 13, 0 = 2*j - 4*o - 24. What is the tens digit of (-2474)\/(-38) + j\/(-19)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(((1 + sqrt(2299))**2 - sqrt(2299)) + sqrt(19))*3 - (sqrt(95) + 3*-1*sqrt(95) + sqrt(95))\/(sqrt(245)*1).\nAnswer: -27600 - 1007*sqrt(19)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 102.4009 millilitres?\nAnswer: 0.1024009","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (40\/280)\/(11*(-35)\/299145)\nAnswer: -111","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -87064, -174140, -261224, -348316, -435416?\n\"Answer: -4*x**2 - 87064*x + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 41 is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6194957.\nAnswer: 173, 35809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1409.2 + 1410. Let l be (3\/2)\/((-30)\/(-40)). What is the third smallest value in l, t, 0.3?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 864\/(-64)*(0 - (-1)\/2). Let c be ((-103)\/2 + -4)\/10. Let o = k - c. Put o, -3\/4, -2, -3 in decreasing order.\nAnswer: -3\/4, o, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1157 (b) -0.1 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6341 + 9000. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 103\/24 and -55\/8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6895632, 6895621, 6895608, 6895593, 6895576, 6895557?\nAnswer: 6895536","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -2*w**3 - 27*w**2 - 45*w + 50. Give x(-3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 21517960?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) 5 (b) -0.5 (c) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 263 - 263.0045. Let y = h + -84.3955. What is y rounded to the nearest 10?\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-2 + sqrt(192) + sqrt(192)) - (-3*(sqrt(3) - sqrt(3)*-3)*-3)**2.\nAnswer: -3882 - 48*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 568*k - 17. Give b(0).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -142.2498 + -32.996\nAnswer: -175.2458","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = r**2 + r + 64. Let s be h(0). Let v = s - 28. Is v a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -56726e8 - -2?\nAnswer: -56726e6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-22)\/(-8))\/(3\/60). Suppose -4*j + 37 = -5*c, 4*j = -j - 3*c. Let t(k) = 7*k + 1. Let i be t(j). What is the highest common factor of x and i?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.27195 + -0.07195. What is the third biggest value in 0.06, 4, s, 1\/2, 16?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*q - 5*q - q)*(2*q + 2*q - 2*q) + ((-13*q - 14*q + 45*q)*(-5*q + 4*q - q) + 13 - 13*q**2 - 13)*(-1 + 0 - 1).\nAnswer: 94*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 65997388, 65997378, 65997358, 65997322, 65997264?\n\"Answer: -x**3 + x**2 - 6*x + 65997394","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1 (b) -1 (c) -12 (d) 52\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 937171883 to the nearest integer?\nAnswer: 979","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 y and 1 b when four letters picked without replacement from {y: 8, p: 8, b: 1}.\nAnswer: 2\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -658 - -658.2. Which is the second biggest value? (a) 0 (b) i (c) -2\/71 (d) 1\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -6\/2137 at most as big as 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) be the second derivative of t**5\/120 + 101*t**4\/12 + 10201*t**3\/4 + 1586*t. Factor r(a).\nAnswer: a*(a + 303)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 1148060?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = 4*a - 43, 5*a = -16*x + 17*x + 38. Let g(d) = 128*d**2 + 3*d - 2. Let k be g(-3). What is the highest common divisor of a and k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38953 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x**2 - 229*x - 28. Let m(d) = 6*d**2 - 1. Give u(m(h)).\nAnswer: -36*h**4 - 1362*h**2 + 200","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) 0.21 (b) -2 (c) 244 (d) 159\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m + 0*h + 9 + 55 = 3*h, -3*m - 2*h = 96 for m.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 (base 12) in base 7?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 104\/3045 and -89\/45.\nAnswer: 9135","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 8188.3872us in weeks?\nAnswer: 0.000000013539","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange q**2 - 3*q**2 - 107 + 68 - 15*q - 8*q + 3*q to t*q + b + n*q**2 and give t.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = d. Let r be w(4). Suppose r*m + 2*l + 2 = -0*m, -4*l = -5*m + 17. What is the units digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -i**2 - 8*i + 23. Let r be w(-10). Let n be (-2)\/(-5)*(r + 0 + 2). Suppose 10*y + 8 = n*y. Is -9\/5 != y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 16422?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 16274?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 722024 is divided by 30.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 40 and 6785?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the third derivative of -t**6\/540 - t**5\/90 - t**3\/2 - t**2. Let g(f) be the first derivative of d(f). Factor g(u).\nAnswer: -2*u*(u + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 77 minutes before 8:53 PM?\nAnswer: 7:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 10\/1311?\nAnswer: 10\/1311","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 84873973 a multiple of 133?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 36554?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 465, 929, 1389, 1845?\n\"Answer: -2*u**2 + 470*u - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the second derivative of 2*q**4\/3 - q**3 - 3*q**2\/2 - 4*q. Is y(-4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 25 + -15. Let y(r) = -j + 7*r + 6*r - 6*r. Does 15 divide y(7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((8\/25)\/(-2))\/(14\/(-35))?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/(-4) + 0)\/((-15)\/40)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*p = 3*p - 16. Suppose -2*o - o = -42. Let r(d) = -3 + o*d**2 - 2*d - 12*d**2 - d. Determine r(p).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15 - 22 - 15*d + 37.\nAnswer: -15*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -7*t**2 - 4*t. What is r(1)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 + (-7 + 8 - (7 - 16 - -7))?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n*(n\/n**(-3\/8))\/n)\/n**(-8\/5)*(n**(2\/7)\/n)**(-26) assuming n is positive.\nAnswer: n**(6313\/280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2007641?\nAnswer: 29, 107, 647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3990?\nAnswer: 2, 3, 5, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1 + 121330?\nAnswer: 121331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in -0.04, 5, -125, -0.8?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 - 3 + 1)*(-c + c + c + 4 - 4 - c + (-1 + 4 - 1)*(0*c + c - 3*c)) + (1 + c - 1)*(3 - 4 + 3) to the form z*c + w and give z.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sum 8838869764.419 and 4.\nAnswer: 8838869768.419","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -82*m + 145. Give s(2).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that -3*s**5\/8 + 141*s**4 - 146925*s**3\/8 + 909225*s**2 - 10611000*s + 9720000 = 0.\nAnswer: 1, 15, 120","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that 3*s**5 + 1779*s**4 - 12573*s**3 + 16281*s**2 + 48438*s - 97200 = 0.\nAnswer: -600, -2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5992667 to the nearest integer?\nAnswer: 182","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 11\/(-22)*72\/(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2350.473 to the nearest integer.\nAnswer: 2350","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -5*t**2 - 4*t - 9. Let m = 3 - -4. Let k(q) = -2*q**2 - 2*q - 4. Give m*k(h) - 3*c(h).\nAnswer: h**2 - 2*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-23*x**3 + 4*x**3 + 13*x**3)*(-4 - 1 + 1).\nAnswer: 24*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.271, 165, -4, 0, 8?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2688444665.\nAnswer: 5, 537688933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 15135765?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 3, y: 1, n: 5, a: 7, d: 2}. What is prob of sequence qnqd?\nAnswer: 1\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 131064758?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, a: 1, o: 2, f: 1}. Give prob of picking 2 o.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3 + 5. Let v(k) = -k**2. Let q be v(r). Let l = 5 + -5. Which is the nearest to -1? (a) -0.1 (b) l (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*d**4 - 2*d**2 - d**4 + d**4 + 4*d**2 wrt d.\nAnswer: -72*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 4*x + 24 = 0, 3*f - x + 11 = 7*f. Suppose f*p = p + 120. Let a be (p\/(0 + 4))\/2. Solve a + 1 = 2*v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (0 - 1)*3*-1. Suppose 0 = q*z - z. Let n(r) = r**2 - 6*r + 5. Let t be n(2). Sort t, -4, z in descending order.\nAnswer: z, t, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of ((-114)\/(-4))\/(24\/168 + 1934\/(-13832)) and 2?\nAnswer: 9386","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 2*u**2 + 9*u + 4. Let c(q) = -q**3 - q**2 - 2*q - 1. What is -2*c(s) - n(s)?\nAnswer: 2*s**3 - 5*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 310 minutes before 8:31 PM?\nAnswer: 3:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 902 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2636 by -3.\nAnswer: 2636\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(891)*-1*-1)**2 + sqrt(891) - (sqrt(891) - (sqrt(891) - (2 + sqrt(891) + 3))**2).\nAnswer: 916","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 448 minutes after 2:00 AM?\nAnswer: 9:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.019177188624 rounded to 3 dps?\nAnswer: 0.019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 458\/8 - (-1)\/(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 970255\/275 - 3\/15?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 422042 and 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 28 - 12. Suppose a = 3*f - 2. Suppose -2*q + f*z = z - 41, -4*q + 3*z = -117. What is the greatest common divisor of q and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the third derivative of -x**6\/90 - 2*x**5\/15 - 2*x**4\/3 + x**3\/3 - 4*x**2. Let d(n) be the first derivative of u(n). Let d(i) = 0. What is i?\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 0.3, -1, -5\/18?\nAnswer: -5\/18","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 190 and 273543.\nAnswer: 2735430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 638, -523, 3 in ascending order.\nAnswer: -523, 3, 638","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the second derivative of 27*h**5\/20 + 25*h**3\/6 - 32*h. What is the second derivative of a(o) wrt o?\nAnswer: 162*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -2 - (1 + 2) - -1. Let g(n) = n**3 + 6*n**2 + 5*n - 5. Let b be g(z). Solve 2*t - 5 = -u, u - t = 3*t - b for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/4*(-14)\/(-7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jjln when four letters picked without replacement from {s: 1, j: 7, n: 1, l: 2, t: 1, h: 2}.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -o**3 + o**2 + o - 20. Let m be a(0). Let q be (-5)\/m - 22\/(-8). Suppose 5*b + h - 40 = 0, q*b + 3*h - 8*h = -4. Is b even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -2*j**3 + 2*j + 2. Let n be h(-3). Suppose -102 = -2*o + 4*t, o - 2*t = t + 52. Which is smaller: n or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 102 + -5. Suppose -g*n = -104*n + 28. Solve 0*c - n*c = 4 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 21569\/5 + -4278. Is 35 less than or equal to q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - 1) + -4 + (6 - -6)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15985507 is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j = 24 - 28 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 76 + 6 = t. Suppose 0 = -f + q + 19, 5*f - q - t = f. Let a be (-1)\/(-2) + f\/6. Solve 5*c - 3*c + 5*x = 23, -a*x = -12 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/((6\/(108\/(-9)))\/1).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 37 = -1. Let z = y + 17. Calculate the remainder when z is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) be the second derivative of 43*v**6\/10 - 7*v**3\/6 - 32*v - 2. Find the second derivative of j(f) wrt f.\nAnswer: 1548*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -1\/2 (b) 0.4 (c) 326 (d) -397 (e) -1\/8 (f) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 44 a factor of 1380240?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11362 (base 8) to base 7.\nAnswer: 20066","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = d**3 + 5*d**2 - 3*d - 10. Calculate the remainder when 8 is divided by q(-5).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 14 + -2240?\nAnswer: -2223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -3743, 2, 4 in ascending order.\nAnswer: -3743, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -3*h**3 + 4*h**2 + 4*h + 3. Let m(z) = 2*z**3 - z**2 - z - 1. What is -a(y) - 4*m(y)?\nAnswer: -5*y**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 4 times -22164137\nAnswer: -88656548","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 468499976?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 11\/48 or -1?\nAnswer: 11\/48","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 834\/((-21)\/70*-5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 94.60323 meters?\nAnswer: 94603230","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -148 + 390. Let l = 225 - c. Is -3 at least l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9464920 is divided by 270425.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-10)\/(-5))\/(-8)*-12. What is the closest to -0.2 in 4, y, -4?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 94\/5385 and -50\/869857?\nAnswer: 13047855","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 111553a - 5?\nAnswer: 1115535","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*h + 6 + 2. Suppose 5 = -h*q - 3*q. Let v = q + 32. List the prime factors of v.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 60\/7*q - 9 + 3\/7*q**2.\nAnswer: 3*(q - 1)*(q + 21)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1255341*z**4 - 4458*z**2 - 187 wrt z?\nAnswer: 30128184*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 3 (b) -2\/3 (c) -2 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -133*c + 189. Let u(v) = 12*v - 17. Let b(z) = 5*f(z) + 56*u(z). Let o(j) = j**2. Give b(o(p)).\nAnswer: 7*p**2 - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 220 = 63*j - 21 - 74. Solve 0 = -j*y + 3*l - 13, 3*y + 5*l = -12 - 23 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -4*b. Let q(a) = -6*a. Let z(g) = -4*c(g) + 3*q(g). Let j(r) = -r + 3*r - 5*r. Calculate j(z(n)).\nAnswer: 6*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -29 + 71. Is x a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 481\/22 (b) -2\/17 (c) -3 (d) 1\/9 (e) 2\/9 (f) 2\/19 (g) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -342 + 575. What is the tens digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 607 minutes before 12:41 PM?\nAnswer: 2:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 40? (a) -16 (b) -59 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-1))**(4\/3)*s\/(s\/(s\/((s**5*s)\/s)))*s**(-1\/9)*s*s*((((((s**0*s)\/s)\/s)\/s)\/s)**(-1\/7))**32 assuming s is positive.\nAnswer: s**(647\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2104253 is divided by 671?\nAnswer: 668","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -16, -30029, 1, -4, 4 in decreasing order.\nAnswer: 4, 1, -4, -16, -30029","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 13\/5 - (3 + -1). Let h = 0.033 + -14.033. Let o = -16 - h. Which is the third biggest value? (a) s (b) o (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -7 in 0.1, 5, 0.04, 60\/7, 3\/4?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -51? (a) -3 (b) -3\/7 (c) 1\/10 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 67*a**3*u**3 + a**3*u**2 - 31*a**3 - 3*u wrt u?\nAnswer: 402*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27 + 13 - 44 + 0*x - 43*x**2 + x + 58.\nAnswer: -43*x**2 + x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 26097?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xr when two letters picked without replacement from {z: 1, r: 1, k: 1, p: 1, x: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1101803 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 4*o = -2*p - 25, -3*p + 20 = -4*o. Suppose p = -2*i - i - 12. Let v = 0 + 0.2. Which is the third smallest value? (a) 0.3 (b) i (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -138*p + 13. Let s be d(-3). Suppose 8*o - s = 277. What is the units digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**12\/k**(2\/5)*k**4*k*k*k**(-32)\/k assuming k is positive.\nAnswer: k**(-77\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pzjq when four letters picked without replacement from qxjgpzzx.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 2, o: 2, g: 2, d: 1, j: 1, e: 1}. Give prob of picking 2 a and 1 o.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 140.7 rounded to zero decimal places?\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5035 + -5030.066. Let m = 0.004 - y. Let l = 0.07 - m. Which is the second biggest value? (a) -3 (b) l (c) -3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 2\/217, -0.02257, -3\/2?\nAnswer: -0.02257","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -3*j + 4. Let h(t) be the second derivative of t**4\/6 - 14*t. Calculate h(a(o)).\nAnswer: 18*o**2 - 48*o + 32","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 87 and 444889?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 113007208 is divided by 56.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -214, -214, -202, -172, -118, -34, 86, 248?\n\"Answer: p**3 - 7*p - 208","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(208)*4)**2 - -1*-2*sqrt(637).\nAnswer: -14*sqrt(13) + 9984","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 3*-6*(-9)\/36 + 114\/(-228)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lolluluooououooouuo. What is prob of sequence ou?\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -s**2 - 535*s - 3692. Let c be x(-7). Suppose 0 = -2*k + 3*k. Solve h = -k*h - c for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -k - 60. Let n be c(0). Let s be (1744\/(-545))\/(1\/5). List the prime factors of (-3 + n\/s)*52.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 114*-17*16\/(-4352) and -15\/1706.\nAnswer: 6824","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -18 + 25. Let w = m + -11. Suppose 0 = -0*k + 5*k + 25. What is the nearest to 1 in 4, k, w?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -11\/1756 and 41\/13170.\nAnswer: 26340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-368)\/16 + 24 - (-9)\/(-12))\/((-10)\/(-8))?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8 + -5. Suppose -3*u = 4*g - 1, -3*u + 3*g - 7 = -22. Suppose 3*b + u*x = 21, -4*b + 10 = x - 6*x. Solve b = -y*c + 11 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -114 - -1257\/11. Let k = 1501\/748 + -43\/17. Let v = q + k. Is -1 smaller than v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -2*w**2 - 6*w. Let a(i) = 9*i**2 + 16*i - 9. Let l(y) = -a(y) - 4*p(y). Let g = -10 + 19. What is l(g)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 30 - 15 = 0. List the prime factors of (-5)\/((-50)\/(-766))*x.\nAnswer: 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by -195.\nAnswer: 1\/65","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -331293, -662586, -993881, -1325178, -1656477, -1987778?\nAnswer: -2319081","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 140467a (base 11) to base 15.\nAnswer: 32c902","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 0 - a**2 + 1 - 5 + 6*a. List the prime factors of b(4).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23\/6 of a decade in months?\nAnswer: 460","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12*11\/165*-2*(-85)\/(-918).\nAnswer: -4\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 11749341?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4838.6473 + -4839. Round s to one dp.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*v - 4*v - 9. Suppose 3*s + 42 - 171 = -v*q, 2*s + 208 = 5*q. What are the prime factors of q?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -11 + 3. Let l = k + 9. Let h(o) = -6*o + 2. Let r(q) = q. Give l*h(y) + 4*r(y).\nAnswer: -2*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) -0.2 (b) 0.5 (c) 3\/2 (d) -2.398\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1350 and 3.\nAnswer: 1350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 36.700866 to one dp.\nAnswer: 36.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = 4*c - 328*h - 297*h + 630*h, 0 = -2*c - 2*h + 4 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -100121110100111 - -2?\nAnswer: -100121110100102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 56*w**4 + w**2 - 140*w - 2.\nAnswer: 672*w**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1444756211 a multiple of 639?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 39, 1, 6 in decreasing order.\nAnswer: 39, 6, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 6*j - 1. Let a(q) = 3598*q - 514. Calculate -3*a(y) + 1542*z(y).\nAnswer: -1542*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -0*f + 2*f. Suppose -14 = -4*d + 2*a + 56, 2*a = -3*d + 42. List the prime factors of d\/4*(-11)\/f.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 p when three letters picked without replacement from {p: 14, n: 1, j: 2}?\nAnswer: 91\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6.4 + -6. What is the third smallest value in -0.1, -5, r, -0.4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rssr when four letters picked without replacement from {r: 2, s: 3}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-15)\/10*24\/9?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*q**5 + 5*q**5 - 2*q**5 + 0*q**5 + q**5 + q**5 - 2*q**5 + 6*q**5 - 2*q**5 + (0*q**4 - 2*q**4 + 0*q**4)*(-3 + 3 - 2*q).\nAnswer: 9*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -p - 18. Calculate z(-8).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 8*j**2 - 3*j + 5. Let w be p(4). Suppose 41 = -b + w. What is the greatest common factor of b and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2960013 divided by -140953.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2498110 to the nearest integer?\nAnswer: 1581","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 4*j**2 + j - 5. Let w be u(-5). Suppose 0 = g + 2*o - w, -4*g - g = -3*o - 424. Let r = -60 + g. What are the prime factors of r?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 140159450.\nAnswer: 2, 5, 229, 12241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 62.15 + -62.05. Which is the closest to u? (a) 0 (b) -5\/2 (c) -0.01\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7 + -7. Let h be 3\/(-30)*6 - -1. Which is the smallest value? (a) 0.2 (b) h (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -u**3 + 5*u**2 - 4*u - 2. Let h be j(4). Let q = -10 + 6. Calculate the common denominator of -117\/10 and (136\/(-3) + h)\/q.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -3*l**3 - 9*l**2 + 13*l + 34. Give s(-4).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 13*x**2 - 8*x + 26. Does 10 divide a(6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 165936 + -302566. Round k to the nearest one thousand.\nAnswer: -137000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 684 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -i**3 + 49*i**2 + 51*i - 41. Let j be y(50). Solve j*r + 11 = -7 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 251444 to the power of 1\/3, to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 a factor of 58498?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 250 is divided by 32.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 1 - 2 + 177 - 368 + 57 + 5 - 1 - 2 + 1 - 2 - 1 + 1 - 3 + 4 - 2 - 1 + 1 + (-3 + 2 + 0)*(-1 + 1 - 2))*(-k - 3*k + 3*k).\nAnswer: 129*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 54088 + -54087.999938994. Round v to 5 dps.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5 - -1235315?\nAnswer: 1235322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -3*(1 + 5\/(-3)). Let y(u) = 0 - 1043704*u**3 + 0 + u + 1043703*u**3. Give y(v).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -300 = -53*r + 495 for r.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 136, 115, 86, 49, 4?\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 11402 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 49?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 5 + 6*j)*(-8 - 11 + 32)*(-2 + 2 + j).\nAnswer: 78*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3 and 54.\nAnswer: 162","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 16 - -2?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26304 = -16*k + 120656. Let l = k - 3540. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-166*a - 222*a + 197*a)*(12 + 68 - 15).\nAnswer: -12415*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = 4*k - 1508, -5*k + 3*s - 2*s + 1885 = 0. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*h - 5*h - 12 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 96187?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = 5*f - 1500, 5*f - 742 = -3*v + 388. What is the greatest common factor of 10 and v?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 4 (b) 3 (c) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor l**2\/5 + 50*l - 1016\/5.\nAnswer: (l - 4)*(l + 254)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 1008?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -219629, -2, 0, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 16697, 16692, 16683, 16670, 16653?\n\"Answer: -2*w**2 + w + 16698","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a\/((a*a**(3\/8))\/a*a))\/((a**(4\/21)*a)\/a))\/(a**(1\/22))**(-10))**(5\/12) assuming a is positive.\nAnswer: a**(-1025\/22176)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1 - 0. Let s be 2 + -1 + x*5. Let g(t) = -48 - 48 + 94 + 206*t - 2*t**2 - 211*t. Determine g(s).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -126 divided by 4.\nAnswer: -63\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y**2 - 15*y + 40. Let m be o(3). Solve -11*g + m = -13*g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 690832?\nAnswer: 2, 43177","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 143432?\nAnswer: 2, 17929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:13 PM and 11:27 PM?\nAnswer: 374","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -8 - -3. Let f(j) be the first derivative of j**3\/3 + 5*j**2\/2 + 7*j - 35018. Calculate f(q).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + (-1 - 1) + -5.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 278.2776 to zero decimal places.\nAnswer: 278","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out 843 * 130201.\nAnswer: 109759443","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: ((-9)\/((-45)\/20))\/((-168)\/462)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 667 - 152373?\nAnswer: -151504","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -43*b**2. Let p(g) = -310 - 313 + 935 - 312 + 42*g**2. Give p(c(i)).\nAnswer: 77658*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1444.896495 milliseconds in weeks?\nAnswer: 0.0000023890484375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -185 = -8*k + 23. Calculate the greatest common factor of k and 299.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 120\/(-315) + (-898)\/(-9429)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.01 + 3.99. Let s be (-9)\/(-63) - (-928)\/(-2233). What is the second biggest value in 3\/7, s, f?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 4*m = -2*d + 1442, 1452 = 5*d - m. Let t = d + -214. What is the units digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -17, -38, 1\/9, 15 in decreasing order.\nAnswer: 15, 1\/9, -17, -38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -1*(3 + -6 + -1). Solve -13 = -5*h + 4*b + 8, -v = -h + b for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43 a factor of 2365?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/(-1))\/(64\/(-12) + 3).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = 8 + 12. Let d be (-1 + 3)\/(s\/(-15)). Let l(a) = 6 - 244*a - d + 245*a. Determine l(-5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:35 PM and 11:27 PM?\nAnswer: 472","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -129*k = -98*k - 279 for k.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 14240\/(-25) - (-1 + (4 - 7)) - -4. Which is greater: -562 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1154 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0, -4, 11\/3, -2, -22\/199, 2\/5, 36?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.29 (b) 2\/83 (c) 1.1 (d) 13 (e) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1*4 + (27 - 37). Let o(h) = -h**3 - 7*h**2 - 3*h - 4. What is o(g)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -280*t - 7 - 4*t**2 + 840*t - 278*t - 279*t to q + z*t**2 + j*t and give q.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1 - -2. Suppose v + v = 4*j - 10, j + 8 = -3*v. Calculate the least common multiple of h and 6\/v + 12 - 0.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 106585577.\nAnswer: 7, 313, 48647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 21633\/1945 at least 10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 7216 and 72160?\nAnswer: 72160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = d - 4*x + 28, 9*d - 9*d - 167*x = -164*x - 15 for d.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12211121112000 + -122?\nAnswer: -12211121112122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide (-111 - 1)\/(-7 - -1 - -5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -156522 greater than or equal to -156524?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - w)*(0*w + w - 62*w**2 + 63*w**2).\nAnswer: -w**3 - w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.1 - 0. Let f = j - 0.4. Let x = -0.021747 - 0.088253. What is the third smallest value in x, f, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 522.8 + -88441.63.\nAnswer: -87918.83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 178\/276 - 2\/3. Let h = l + 97\/230. Which is the nearest to h? (a) 2 (b) -0.4 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mrum when four letters picked without replacement from mmrmmuuuurmimmmmm.\nAnswer: 3\/238","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j + 12 = 2*x, 2*j = j + 9*x - 36 - 28 + 30 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q + 15 = b, 3*b + 0*b - 13 = -q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 534353459 to the power of 1\/2, to the nearest integer?\nAnswer: 23116","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -3, 17, 5, -360, -32, 3 in increasing order.\nAnswer: -360, -32, -5, -3, 3, 5, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3000)*-1 - sqrt(120)\/sqrt(4)*-5)\/(3*-3*3*sqrt(6)).\nAnswer: 5*sqrt(5)\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b**4 + 6406*b**3\/7 - 718334*b**2\/7 - 477642*b + 579348 = 0. What is b?\nAnswer: -38\/7, 1, 231","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 8400054 or 8400062?\nAnswer: 8400062","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4734)\/(-30)*10\/16. Let y = 99 - m. Let r be (1*-2 + 1)*-1. Is y <= r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 + -1 - 2) + 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*m**2 + 4*m**3 + 4*m**2 - 2*m**2.\nAnswer: 4*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6430948117.\nAnswer: 11, 131, 4462837","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*g - g = 527. Let n(o) be the first derivative of -15*o**2\/2 + o + 1. Let h be n(-2). What is the highest common factor of g and h?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 63712 to the nearest integer?\nAnswer: 252","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -3*r**2 - 127*r + 134. Give c(-43).\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 3 d when four letters picked without replacement from eumdimueuuuusuuuddus.\nAnswer: 2\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-42 - -45)\/(6\/(-332)))\/(1\/(-8)). Calculate the highest common divisor of j and 3403.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1)\/((-8)\/6 - -1). Let i(a) = a**2 - 8*a. Let c be i(8). Suppose -3*p + c*p = -9. Solve 2*u = -f*h - 0 - 3, 3*h = 2*u - p for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -72, -3, -0.5, 1\/19, -0.1, -24, -6?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -5*y + 6*y - 4 - 2*y. Let t(a) = 5*a + 2. Let p(l) = l. Let f(h) = 6*p(h) - t(h). Let z be f(5). Let c(n) = -2*n - 5. What is z*w(o) - 2*c(o)?\nAnswer: o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*v**2 - 7*v**2 - 198*v + 10*v - 5*v**2.\nAnswer: -v**2 - 188*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/14)\/(1\/(-2))?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 10}. Give prob of sequence zz.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a microgram in nanograms?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the first derivative of -2*r**3\/3 - 2. Let m = -49 - -62. Let x(u) = m*u**2 - 19*u**2 - 8*u**2. What is f(x(t))?\nAnswer: -392*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 425 and 2635?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -217 times -4?\nAnswer: 868","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8 - 13. Let a(o) be the first derivative of 5\/2*o**2 + 3 + 1\/3*o**3 - 4*o. Calculate a(s).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o*o**(1\/3)*o\/o**15*o\/(o*o**(-13\/6))*o**22\/o)**(12\/17) assuming o is positive.\nAnswer: o**(138\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -100001111011 (base 2) to base 8\nAnswer: -4173","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -377*d + 1628. Calculate m(5).\nAnswer: -257","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that 2*w**4 + 842*w**3 + 27898*w**2 - 746978*w - 8381844 = 0.\nAnswer: -382, -53, -9, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 691291596?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -s - 4*s + 0*s**2 + 23 + 6*s - 2*s**2 to t*s + r + z*s**2 and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -f**3 + 12*f**2 - 9*f - 14. Suppose 2*n = 4*n - 22. Let h be k(n). Let w be 10*2\/h*2. Solve 10 = w*j - 15 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f**2 - 8*f + 11. Let u be l(7). Differentiate o**2 + 9 + 36*o**u - 26*o**4 - o**2 wrt o.\nAnswer: 40*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the third derivative of 1\/3*g**4 + 0 - 12*g**2 + 0*g + 0*g**3. Let u(r) = 2*r**2. Give u(k(i)).\nAnswer: 128*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3 * -37419.\nAnswer: -11225.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a tonne in kilograms?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = p - 6*p + 1, -4*v - 4*p = 12. Let l be v*1 + (4 - 4). Let x be 1 + ((-22)\/18 - 0). Which is the second smallest value? (a) l (b) x (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 184 divide 1245994?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*p - 0*b - 5*b - 39, 3*b = 2*p - 29 for p.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 123 + -2831\/23. Let y = -29\/69 - j. What is the closest to 0.1 in 1, 0.3, y?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -19.87374532 to 3 decimal places.\nAnswer: -19.874","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.1, -3, -96, 5, -1\/2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -24029 or -23997?\nAnswer: -23997","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = l - 3. Let k(t) be the second derivative of t**3\/6 - 3*t. Let x be k(-3). What is m(x)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5 + -66614?\nAnswer: -66606","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -61737, -62771, -63805?\nAnswer: -64839","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 467 minutes after 8:07 PM?\nAnswer: 3:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*v + 7*v + 90 = 0 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2584?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m = 0, 4*k - 11 - 1 = -m for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 36474 and 48?\nAnswer: 291792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8222057 is divided by 4111017?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -22*t + 16*t + 54. Let i(z) be the third derivative of 10*z**4\/3 + 13*z**3\/6 - z**2. Is i(t) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*y**3 + y - y + (0*y**2 - 2*y**2 + 0*y**2 - y**2 + 2*y - 2*y + (-y - 3*y + 2*y)*(2*y - 2*y + y) - 60*y + 60*y + 9*y**2)*(-7*y + y + y).\nAnswer: -22*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -13 in 0.5, 10, -0.03?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 25.5*4\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 549 minutes after 6:26 PM?\nAnswer: 3:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 10}. What is prob of picking 4 o?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000992822007 to seven dps.\nAnswer: 0.0009928","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 20927 to the nearest integer?\nAnswer: 145","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*s + 950 = 6*s. Let v = s - 29. Solve 4*j - v = -25 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 30105 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 3, -15 in increasing order.\nAnswer: -15, -3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/5 in 0.46, 0, -9, -0.9?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"comparison__closest_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: Let u(t) be the third derivative of t**6\/24 + t**5\/15 - t**3\/3 + 12*t**2. Let y(w) = -w**3 + w**2. Let i be -9 + -9 + 1 + 18. Give i*u(k) - 4*y(k).\nAnswer: 9*k**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1742 in -4, -5, 2\/21, -72\/7?\nAnswer: -72\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -164*g**2*o**3 - 2*g**2*o + g**2 - g*o - 13570*g wrt o?\nAnswer: -492*g**2*o**2 - 2*g**2 - g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = -397 - 463. What is the units digit of u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 5*p**3 + p**2 - 4*p - 4. Suppose -9 = -0*r + 3*r - 2*h, -r + 2 = h. Let o be g(r). Find the common denominator of (-1 - o\/3)\/(16\/78) and 83\/6.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = 4*h - 0*h - 8, 3*h = 9. Let i = -2 - -3. What is the biggest value in i, -2\/5, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 less than 2213?\nAnswer: 2213.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -21 - (24 + -53) - -1\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -4*b**2 - 2*b. Let i be w(-3). Let r = 28 + i. Let l = r + 14. What is the highest common divisor of l and 36?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/4)\/((630\/160)\/(-7)).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -h + p + 37, 5*h + 2*p - 59 = 91. Solve h*d + 40 = 42*d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 35\/(-14)*270\/(-25). Suppose -p*x = -0*x - 162. Suppose -2*s - 3*s + 10 = 0. Solve -s*n + x = b, -4*b - 5*n = -9*b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -12 + 47. Let w be 14\/(-10)*10\/d. Which is the third smallest value? (a) -14 (b) 5 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -7896*t**2*v**3 - 2*t*v**3 - 2478*v**3 wrt t.\nAnswer: -15792*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -21*z + 143 - z - 147 - 114*z to the form m*z + y and give m.\nAnswer: -136","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -1 + 4\/3 + (-50)\/6. Let n be ((-6)\/27)\/(o\/8). What is the smallest value in 5, n, -5, 0.5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4\/7 - (-6)\/(-14). Which is the biggest value? (a) q (b) -1 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 784 and 18.\nAnswer: 7056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1263, -1305, -1397, -1557, -1803, -2153?\nAnswer: -2625","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -12 - -15. Find the second derivative of 2*h**5 - h**5 + 8*h - j*h wrt h.\nAnswer: 20*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 3*m**2 - 14*m - 24. What are the prime factors of i(-4)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 - 6 = -4*p. Suppose -13 = -p*k + 95. Is 7 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 126 + -126. Let a(d) be the third derivative of 0*d**3 - 3*d**2 - 7\/24*d**4 + 0*d + q. Let u(k) = -k**2. What is u(a(s))?\nAnswer: -49*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 560338491 a multiple of 1839?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 55971895 and 31?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -0.22, -7, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1717240 to the nearest integer?\nAnswer: 1310","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/68)\/(195\/(-780)).\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -297*q. Let u be d(1). Is (-2)\/8 - u\/4 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -353*l + 48*l + 68*l + 128*l - 82*l**5 wrt l?\nAnswer: -1640*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/24 - 2\/8.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 717 - 6*t - 717.\nAnswer: -6*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 75 is divided by 12?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-22)\/(3\/((-15)\/10)). Let f(r) = -3*r**2 + 21*r - 21. Let t(w) = w**2 - 1. Let a(y) = -f(y) - t(y). Is a(x) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r**3 - 2*r**2 - 12. Suppose 4*v - 2 = 14. Let p be s(v). Suppose -9*n - p = -14*n. What is the units digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -t**3\/5 - 13*t**2\/5 + 234*t\/5 + 792\/5.\nAnswer: -(t - 12)*(t + 3)*(t + 22)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -397 or -395?\nAnswer: -395","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 162 and 18822.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1188*m - 714 = -1146*m for m.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 30790 and 2.\nAnswer: 30790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15 + 78*k - 262*k - 24 + 9.\nAnswer: -184*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 59 + -61. Is x at most 0.008?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 3 - 1 + (-3 - 1 + 3)*(-1 + 2 + 1))*(12*c - 12*c + 5*c**4 + (2 - 2 - 2*c**2)*(4*c**2 - 2*c**2 + 0*c**2) + c**3 - c**3 + 2*c**4).\nAnswer: -3*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*s + 64 = 16 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 28 + -40. What is the units digit of 4\/i + (-398)\/(-6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -27.241 - 0.259. Let v = t + 27.4. Which is the nearest to v? (a) 0.2 (b) -1 (c) 0.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tcc when three letters picked without replacement from ctcctccccccctccctcct?\nAnswer: 35\/228","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3909740860?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -41*n - 38706. Let w(o) = -12*o - 11060. Determine -17*w(m) + 5*y(m).\nAnswer: -m - 5510","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t**3 + t**2 + 4. What is s(0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -189, -185, -179, -171, -161, -149?\n\"Answer: o**2 + o - 191","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s**3 - 5*s**2 + 8*s - 3. Let o be t(3). Suppose -o*q = 2*j - 35, 0*q + 2*q - 3*j - 45 = 0. Calculate the remainder when 59 is divided by q.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-15)\/(-135))\/(2\/10). Suppose -64 = -5*o + 11. Suppose o*t - 16*t = 0. Which is bigger: z or t?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 178112?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -3 + (-6853)\/(-6) - (-6)\/(-36). Let p = 1633 - l. What is the tens digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 36 + -43.9. Let r = -7.29 - i. Let o = r + 71.19. Round o to the nearest ten.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 0*v + 4*v + 1193 = 0, -4*g = 2*v - 970. What is the tens digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -98*v + 92 = 4*w - 94*v, 0 = w - 5*v + 7*v - 44 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3179 and 121.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of s**2 - 3*s**4 + 92 + 5*s**4 + 759*s**3 - s**2 + 259*s - 260*s wrt s?\nAnswer: 24*s**2 + 4554*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4.26 - -0.74. What is the third smallest value in 3, u, 0.4, -2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 732.3167 times -0.06\nAnswer: -43.939002","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -131 (base 6) to base 13.\nAnswer: -43","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -332*t - 649.\nAnswer: -332","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 - 2\/11*p**2 - 12\/11*p.\nAnswer: -2*p*(p + 6)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4 and -0.3.\nAnswer: -1.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.28 + 0.38. Which is the closest to d? (a) 4 (b) 1\/7 (c) -3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 9*h**3 + 6*h**2 + 4. Let z(q) = -16*q**3 - 11*q**2 - 7. What is -5*s(n) - 3*z(n)?\nAnswer: 3*n**3 + 3*n**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -24 + 12. Let c be 8\/(-1)*(0 + 1). Let j = c - i. Calculate the remainder when j is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 59 - 60. Is 2\/133 at most v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64*z = 205*z + 74*z - 645. Solve 90*j - 94*j = -4, 0 = -z*w + 3*j - 9 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(11) + (sqrt(55)\/sqrt(20))**2 - sqrt(891)*3).\nAnswer: -130*sqrt(11) + 55\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 13681 - 6646. Does 47 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*s**3 + 5*s + 11*s**3 - 2 - 5*s to m*s + u + q*s**2 + t*s**3 and give t.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-1)\/2)\/((-5)\/8580). Suppose 4*p + 2*p = g. Let s be ((-52)\/(-6))\/((-4)\/(-6)). Calculate the highest common factor of s and p.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 16421265?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 278948926?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 327679 and 176?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -41085569*h**2 - 3*h + 3*h + 41085626*h**2.\nAnswer: 57*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 3532787 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, l: 9, c: 4, e: 1}. Give prob of picking 1 c and 1 l.\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -59\/124206 and -57\/1270?\nAnswer: 621030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/(j*j**(-3\/5)*j)*j**(-6)*j)**(-15\/11))**17 assuming j is positive.\nAnswer: j**(1377\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -1650, -3309, -4980, -6663, -8358, -10065, -11784?\n\"Answer: -6*m**2 - 1641*m - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -133, -1222, 2, -3 in increasing order.\nAnswer: -1222, -133, -3, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 883156951 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1\/1008411393 - 9892179630067\/1883712482124. Let u = -2\/1401 - r. Find the common denominator of u and 101\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4533?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 9133 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + w = -4, -r + 77*w - 81*w = -11. What is the closest to 1 in r, -2\/3, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -0.3, -2\/191, -1\/62, -0.5, -1\/4?\nAnswer: -2\/191","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*v - 2*v + 52*v**2 + 5*v - 53*v**2 - 3*v**3 to the form b*v**2 + y*v + a*v**3 + g and give y.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j when two letters picked without replacement from ppqdppjppdj?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -37 + 28.8. Let l = -8 - z. Let m be (-3)\/2 + (1 - 0). Which is the second biggest value? (a) m (b) l (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (b + 0*b + 2*b)*(156 - 156 - 10*b) - 155 + 155 - 19*b**2 to o + t*b**2 + z*b and give t.\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 50198 is divided by 50.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) be the third derivative of -y**9\/12 - 29*y**5\/60 + 24*y**2. What is the third derivative of g(f) wrt f?\nAnswer: -5040*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -23884, -48062, -72524, -97270, -122300, -147614?\nAnswer: -173212","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 41a (base 13) to base 7\nAnswer: 2016","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 79 - 54. Suppose 4*a = -a + u. Suppose -4*c + 3*w + 17 = 0, -c + w = -0*c - a. Solve -2*v = 5*x - 28, -5*x - c*v + 7*v = 0 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.35534 rounded to 2 decimal places?\nAnswer: 0.36","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36044 = 20*c - 876. Calculate the greatest common factor of 65 and c.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -97*o**3 + 3447*o - 3447*o - 93*o**3 - 93*o**3 + 288*o**3.\nAnswer: 5*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 2*g - 25 = 35, -t + 34 = -4*g. Calculate the greatest common divisor of 84 and t.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-5)\/(r\/r**(-2\/11)))\/((r*r**(-7)*r)\/r**(-3))*(((((((r**1\/r)\/r)\/r)\/r)\/r)\/r)\/r)**19\/((r**(1\/5)\/r)\/r**(6\/5)) assuming r is positive.\nAnswer: r**(-1278\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -b + 4 + 2*b + 2. Let u(h) = -37*h - 85. Let q be u(-2). Let w be l(q). Sort 2, 14, w in descending order.\nAnswer: 14, 2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 20350 and 528.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = f**2 + 11*f - 16. Let n be i(-12). Let p(h) = h**2 - h - 19. Let j be p(n). Which is the second smallest value? (a) 4\/5 (b) j (c) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -1602*s + 44870. Determine t(28).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2984646km in micrometers?\nAnswer: 298464600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19127 = -d + 2*d + 4*w, 5*w = -2*d + 38242. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -287 > 33993?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ktjjjjkjjjkjxxt. What is prob of picking 2 x?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2006?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 12*a**2 - 175*a + 366. List the prime factors of p(-40).\nAnswer: 2, 37, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -r**2 - 5*r + 15. Give p(-7).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 306464?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 18219050 to the nearest integer?\nAnswer: 263","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 - 2) + -2 + 104 + -58?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*f + f - 2*f)*(3*f**3 + 3 - 3) + 0 + 0 + 2*f**4.\nAnswer: -f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 1, 10, 27, 4, 0, -130 in descending order.\nAnswer: 27, 10, 4, 1, 0, -1, -130","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -2*v**2 - 3. Suppose -4*k + 3*r + 9 = 0, -2*k - 2*r + 5*r + 3 = 0. Let l(m) = -10*m**2 - 16. Determine k*l(p) - 16*n(p).\nAnswer: 2*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 174 is divided by 20 + (51 + -51)*1\/(-3)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*j + 2*j - 2*j)*(-20781 - 38117 - 37199 + 525 + 5006)*(-3 + 3 + 2).\nAnswer: 362264*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -13, 47\/5, -2, -8?\nAnswer: 47\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6262 by -3.\nAnswer: 6262\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (12 - 12 - 2*h)*(-3*h**3 + 12*h**3 - 20*h**3)*(4 - 2 - 4) to the form q*h + r + a*h**4 + d*h**2 + i*h**3 and give a.\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 344741 to the power of 1\/5, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -1528, -1580, -1698, -1912, -2252, -2748, -3430?\n\"Answer: -5*k**3 - 3*k**2 - 8*k - 1512","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the third derivative of -c**5\/20 - c**4\/3 - 8*c**3\/9 + c**2. Suppose y(h) = 0. What is h?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = -l. Suppose l = -2*z - 4. Is z at least -6\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (0 - 2)\/(6\/(-87)). Suppose 5*n + 49 + 74 = -4*l, 5*l - 5*n = -120. Let m = l + q. Solve 6*c - 4*h = m*c, 0 = c - 2*h - 4 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 81069858 rounded to the nearest 1000000?\nAnswer: 81000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 736 + -744. Suppose -2*l = -2, -5*y - 2*l + 10 - 13 = 0. What is the smallest value in y, g, -0.5, 8?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -400324 (base 5) to base 2\nAnswer: -11000100101101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 16.3 to 0 dps.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iys when three letters picked without replacement from {y: 1, s: 5, i: 3}.\nAnswer: 5\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 517 minutes after 12:39 PM?\nAnswer: 9:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4419 - 1892. Let l = h - 20247\/8. Find the common denominator of -3\/16 and l.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 13 = -5. What is the third derivative of b*c**2 + 4*c**5 - 3*c**2 - c**5 wrt c?\nAnswer: 180*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-14)\/(-28))\/(-1*1\/6). Let a(c) = -33*c + 7. What is the units digit of a(z)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*s - 2*s + 12. Let o = s + 7. Let r be 2\/o + 831\/15. Calculate the greatest common factor of r and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -3 (b) -0.4 (c) 73\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*g + 6*g - 2*g)*(0*g**2 + 0*g**2 - g**2) + (-13*g**2 - 2*g**2 + 10*g**2)*(0*g + 6*g - 4*g).\nAnswer: -11*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p*(p*(p**27*p)\/p*p*p)\/p*p*p*p))**(7\/6) assuming p is positive.\nAnswer: p**(-112\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of a*k*w**3 - 204*a*w**3 + 5*a*w + 5*k*w**3 + 3*k*w - 192*k wrt w?\nAnswer: 6*a*k*w - 1224*a*w + 30*k*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5357912?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-8944 + 7737 + 5*f - 6*f)*(-3 + 3 - 2*f**3) to t*f**2 + v + c*f**3 + q*f**4 + y*f and give c.\nAnswer: 2414","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 + 6*n - 4 - 13*n + 29*n + 6*n - 26*n.\nAnswer: 2*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10944781?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:27 PM and 5:36 AM?\nAnswer: 549","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 10*q**2*s**3 + 24*q**2 - 2*q*s + 12*s**3 - 2*s**2 wrt s?\nAnswer: 60*q**2 + 72","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = j**3 - j**2 + j - 1. Let u(h) = -6*h**3 + 4*h**2 - 4*h + 13. What is -u(a) - 4*v(a)?\nAnswer: 2*a**3 - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -6605, -13220, -19825, -26408, -32957?\n\"Answer: 2*x**3 - 7*x**2 - 6608*x + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7873280 is divided by 1312212?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6172 = 36*l - 34*l. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1384772660?\nAnswer: 2, 5, 69238633","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 (base 13) in base 10?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = p**3 + 6*p**2 - 7*p + 5. Suppose 7*s + 39 = -10. Let k be m(s). Let i be (-1)\/(-2)*(11 + -1). Solve i*a = k*v, 0*a - 4*a + 3*v = 0 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 501 divide 6059595?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*x - 5*q + 63 + 161, 5*q + 311 = 3*x. Find the third derivative of 104*g + 106*g + x*g - 4*g**2 - 56*g**3 - 13 - 317*g wrt g.\nAnswer: -336","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 621\/(-414)*28\/(-21).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -1136630, -1136599, -1136568?\n\"Answer: 31*s - 1136661","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -206 - -404. Let u = p + -196. Which is the closest to u? (a) 0.4 (b) 82 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 4*u = -145, -y + 108*u - 107*u = -39. What is the remainder when 323 is divided by y?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -86*k - 185. Let j be i(-2). Sort -4, -3, j.\nAnswer: j, -4, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.5 - 0.8. Let b = 119.5 + -119. Let p = 10 - 6. Put b, f, p in decreasing order.\nAnswer: p, b, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 468 minutes before 6:38 PM?\nAnswer: 10:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/c**8)\/(c\/(c\/(c\/(c*(c\/c**(-2\/3)*c)\/c))*c))*(c**(-2\/9)\/c*c*c)**(-48) assuming c is positive.\nAnswer: c**(-125\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = p**3 - 22*p**2 + 123*p - 25. Let w be h(11). Which is the nearest to 3\/5? (a) w (b) 0.2 (c) -0.2 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1235*s + 91165 + 320 = 553*s + 245*s for s.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2870 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.85 - 0.05. Let c = l + -1.62. Is c greater than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1886 - 1885.8. What is the nearest to 0.01 in a, -1\/2, 0, 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 5*(-3 - -2*(-2 + 4)). Suppose -n*x + 221 - 16 = 0. Factor -3*r + x*r + 8*r**2 - 2*r + 16.\nAnswer: 4*(r + 4)*(2*r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3233485 is divided by 454?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 3981487 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -170 + 264. Is 5 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-12 - (8 + -16))*141\/(-12). Is u greater than or equal to 46?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 663\/(-91)*154\/99*3\/(-2)\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2799770063 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: (-15196)\/203*40\/((-5120)\/(-224))\nAnswer: -131","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -85.3, 3, 5, -2\/15, 63\/41?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) be the first derivative of -n**8\/336 + 5*n**4\/24 + n**3\/3 + 1. Let z(g) be the third derivative of t(g). Differentiate z(r) with respect to r.\nAnswer: -20*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -12 - k - 3*k**2 + 3*k + 15*k**2 - k**3. What is the remainder when 34 is divided by g(12)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -29, 5, -6.\nAnswer: -29, -6, -4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -19521 divided by -12703\nAnswer: 19521\/12703","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6074 to the nearest integer?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (0 - (-10)\/8)*4. Let t be (12\/(-20))\/((-4)\/5). Put o, t, 2\/15 in ascending order.\nAnswer: 2\/15, t, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -4*j - 3. Suppose 5*w + 17*w + 44 = 0. Suppose -4*z - 11 = 37. Let y = 7 + z. Let d(r) = 2*r + 1. What is w*o(h) + y*d(h)?\nAnswer: -2*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1 + 1. Suppose -3*m + i*m = 4*o - 1, 4*o = -5*m + 5. Let z be 6\/(-4)*(-2 - 0). Solve 2*n - 3*l + 1 = o, 0 = 3*n - n + z*l - 17 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 23 + 29. Suppose -2*y - 96 = -m - 4*m, 2*m - 21 = -5*y. Calculate the remainder when r is divided by m.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-222)\/(-8) - 4\/(-16). Suppose 3*t = -5*j - z, 0*t + j + 2 = 3*t. Let y be (1 - t) + (-2 - -1). Which is smaller: y or 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4 + -2. Let f be 6 + -6 + (-3)\/(-1). Suppose u*j = -f*j + 360. Calculate the highest common divisor of j and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -676 - -675.9717. What is a rounded to three dps?\nAnswer: -0.028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3659619 + 3659619 + 16*i.\nAnswer: 16*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1 - -5. Let t = x - 4.4. Let l = 8 + -13. Which is the nearest to 0.1? (a) 0 (b) t (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14*(-40)\/30*(-15)\/40.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.410896 decades to millennia.\nAnswer: 0.07410896","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-20)\/275)\/((-115)\/2530)?\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -2959 - 0.76\nAnswer: -2959.76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d**(-2)*d)\/((d\/(d*d\/d**(-2\/7)*d))\/d))\/(d*d*d**(-2\/9))**(-1\/33))\/((d**(-2))**(-3\/20)\/(d**(-1))**(4\/11)) assuming d is positive.\nAnswer: d**(34843\/20790)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11 - (1 + 43 - 30 - -25).\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -54*p. Let r(i) = 2*i. What is r(f(n))?\nAnswer: -108*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 10703?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(48) - (sqrt(432) + 2*sqrt(432)))\/(sqrt(484) - -1*sqrt(484) - sqrt(484)))\/((sqrt(192)*-5)\/(sqrt(432) + sqrt(48))).\nAnswer: 32*sqrt(3)\/55","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*p**2 + 2*p**2 + 3*p**2)*(-p + 2*p - 4*p)*(5 + 77 - 17)*(0*p + 2*p - 3*p).\nAnswer: 390*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -364366 or -1093094\/3?\nAnswer: -364366","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 0*q - 55 + 56 - q. Let m(l) = 4*l**2 + 34*l. Let i be m(-9). Let b(a) = -i - a + 19 + 0. Determine 4*b(c) - 5*s(c).\nAnswer: c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -579*t - 2. Let u(g) = -3*g + 3. Determine -u(v) - y(v).\nAnswer: 582*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15237373?\nAnswer: 19, 61, 13147","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -5*u + 11. Let l be ((-35)\/(-70))\/(1\/4). Suppose -k = 5*v - 21, -5*k + 4*k - l*v = -9. Put -4, k, u in ascending order.\nAnswer: -4, k, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 14 + -8. Let c(k) = k**2 + 6*k - 1. Let w be c(-7). Find the third derivative of -2*o**6 + 4*o**w + 2*o**2 + 0*o**l wrt o.\nAnswer: 240*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -f - 17. Let c be z(-17). Let g(s) = 2*s**2 - 2*s + 83. What is the remainder when g(c) is divided by 21?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22 - 459 = -87*d + 172 for d.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 5*w = 11, -w = -2*r - 5*w + 2. Suppose r*d - 17 - 10 = -5*z, 4*d = -4*z + 28. Let o(n) = -n**3 + 3*n**2 + 4*n + 5. Give o(d).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 3*x - 216 = -6*h, -2*x + 46 = h. Is h a multiple of 41?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -2*u**3 + u**2 + 2*u + 4. Suppose 0 = -10*x + 9*x - 43. Let c = x - -43. Let i be b(c). Solve -n = n + i for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -8*x**3 + 4*x**2 - 6*x + 2. Let w be l(1). Let c(i) = -i**3 - 9*i**2 - 7*i + 11. Let v be c(w). Solve 4*o + 0*o = v*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (8\/8)\/((-2)\/6*-1). Suppose 4*c - c = -2*x, -c + 11 = -u*x. Determine t, given that -10*t**2 - 7*t**5 + 5*t**3 - 4*t**4 + 8*t**5 + 8*t**c = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 27 divided by -9\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-25 + 594\/24)\/(43\/(-21500)).\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 144 - 3?\nAnswer: 141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.29397697 rounded to 5 dps?\nAnswer: -0.29398","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.57 - 0.07. Let z(o) = o**3 + 4*o**2 + 2*o + 5. Let k be z(-4). What is the second biggest value in -4, k, d?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) be the first derivative of b**6\/10 + b**3\/2 + b - 3. Let c(m) be the first derivative of v(m). What is the second derivative of c(r) wrt r?\nAnswer: 36*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 26717\/15 + -1781. Let r be 33\/(-55) + 1\/5. What is the nearest to r in -22, -5, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -12*z + 646. Let p be h(49). Sort 2, 4, p, -4, -3.\nAnswer: -4, -3, 2, 4, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 48 divide 11317064?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0 and 4935.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 0.2 (b) -0.949 (c) -0.069 (d) -2 (e) 4 (f) 5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = 63 - 24. Suppose 0 = -4*j - 0 + 8. Let a be 2*(j - (-2)\/(-4)). Solve -5*o = k + 3 - 20, a*o - l = -2*k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k + k - z = 0, -4*z = -44*k - 19 + 71 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + (-6 - (1 - 9))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5, 22, 79, 178, 331, 550?\nAnswer: 847","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 185*m**2 - 189*m**2 + 2*m + 1 - 4 + 2*m**3 + (-1 - 4 + 4)*(-6*m**3 - m**3 + 4*m**3).\nAnswer: 5*m**3 - 4*m**2 + 2*m - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 36777 + -34204.1. Let o = 2457 - u. What is o rounded to the nearest integer?\nAnswer: -116","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -9, -21, -31, -33, -21, 11, 69?\n\"Answer: i**3 - 5*i**2 - 4*i - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -13*h - 78. What is z(-9)?\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14674*m + 4894*m - 3643*m.\nAnswer: -13423*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -877, -876, -875, -874, -873, -872?\n\"Answer: k - 878","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -5, 2 in ascending order.\nAnswer: -5, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 3*w + 5. Let n be s(7). Let v = 34 - n. Solve 4*t + 2*c = 3*t - 11, 2*c + v = 0 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o**3 - 27*o**2 - 24*o - 81. Let x be (24 + 16 - 22\/2) + -1. What is r(x)?\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (8\/36)\/(2\/(-3)). Let m be (2\/5)\/((-1)\/(-2)). Which is the second smallest value? (a) q (b) -2 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) be the first derivative of x**3 - 3*x**2\/2 - x - 1. Suppose -57*h - 47 - 34 = 33. Calculate a(h).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-2 + (sqrt(1008))**2 - sqrt(63)).\nAnswer: -18*sqrt(7) + 6036","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/2 of a micrometer in nanometers?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 44 (base 5) to base 16\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of 362 and -817.\nAnswer: -295754","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 2619921.9 months in decades?\nAnswer: 21832.6825","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 1518, 3026, 4534?\n\"Answer: 1508*q + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 34, -0.98, 0.2, 3\/5, -0.06, 7?\nAnswer: -0.98","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:58 PM and 4:54 AM?\nAnswer: 296","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -50, -191, -512, -1103, -2054?\n\"Answer: -15*l**3 - 36*l + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-24)\/42)\/(4\/(-14)). What is the remainder when 30 is divided by 20\/(3 - 1) - z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 100110111122 (base 3) to base 7.\nAnswer: 1404020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 2, v: 3}. What is prob of sequence vvbv?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the second derivative of w**6\/10 - 39*w**5\/5 - 405*w**4\/4 - 244*w**3 + 1416*w**2 - 273*w + 9. Factor d(f).\nAnswer: 3*(f - 59)*(f - 1)*(f + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 3*v = 4, -5*x = -4*v - 23. Suppose -3*k - y + 318 = 0, -2*y - 3 - x = 0. What is the units digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 857881 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 46 or -5?\nAnswer: 46","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, -5, 5, 0 in descending order.\nAnswer: 10, 5, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/6*4\/(-16)*-2?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - f + 5*i = -30, -4*i - 20 = 0. List the prime factors of 2\/(-3)*((-411)\/3 - f).\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 29*n**2 + 3*n - 10. Let k = -45 + 46. Suppose 3*d - 2*c = 8, -c = -0*c + k. Is b(d) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (30\/(-27))\/(-5) + ((-23240)\/(-2664) - 9).\nAnswer: -2\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.1 (b) 0 (c) -2\/3 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-73)\/30)\/(2\/6) and ((-196)\/48 - 2) + -3.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 698 = 141*w - 31*w - 292 for w.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3232)\/(-1920) - (-8)\/(768\/(-176))?\nAnswer: -3\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -12 + 5. Let c be ((-12)\/28)\/(1\/f). Let s be c*((-1)\/(-1))\/1. Solve 2*q - 5*l + s = 0, 2*q - l - 9 = 4*q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*v, -3*i - 2*i + 4715 = -2*v. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(624) + -2*sqrt(624))*-3)\/sqrt(12))\/((sqrt(3564) - (sqrt(3564)*4 + sqrt(3564)))\/sqrt(11)).\nAnswer: -sqrt(13)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5604 - 5594. Let j(x) = -8 - 2*x**2 - x**3 - 2*x - x**2 - 3*x**2. Calculate the smallest common multiple of j(-6) and f.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -29*a*y + 2*a - 12*y - 4 wrt a.\nAnswer: -29*y + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 20? (a) 0.4 (b) -0.4 (c) 9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -24\/11, 8\/3, 25111, -3\/5, -0.4?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3449 - 3449.002048. Round c to three dps.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4308.372 - 4297.371993. Let h = v + -11. What is h rounded to 6 dps?\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(104)\/(1*sqrt(72)) - (sqrt(52)\/sqrt(4)*5 + 0).\nAnswer: -14*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1054613611 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 28c2023 + 2?\nAnswer: 28c2025","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 2985.9 rounded to the nearest ten?\nAnswer: 2990","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 5 + 2 - 16 + 2*o in the form p*o + s and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b = -4*i - 12, 6*i + 210 = -b + 185 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**7)**(-10\/9) assuming t is positive.\nAnswer: t**(-70\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -24 - (-18 + ((-9)\/(-3) - -9)).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -9*w**3 - w**2 - 5*w - 5. Let g(p) = 9*p**3 + 2*p**2 + 6*p + 6. Let j(r) = -4*g(r) - 5*k(r). Calculate the lowest common multiple of j(1) and 10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1147575 a multiple of 825?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -15 + (-17)\/((-510)\/819) and -73\/236.\nAnswer: 1180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12993757 to the power of 1\/3, to the nearest integer?\nAnswer: 235","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the third derivative of i**8\/560 - 7*i**6\/360 - i**3\/2 - i**2. Let b(w) be the first derivative of y(w). What is the third derivative of b(r) wrt r?\nAnswer: 72*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 16992?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (8\/(-4))\/(-5 - 0). Let u = 0.05 + 4.95. Which is the third biggest value? (a) u (b) m (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-20)\/(-30))\/((-2)\/12).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 301 - 91 = -96*x + 75*x for x.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 195*u**3 + 711 - 711.\nAnswer: 195*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 12 + -10. Let i = 8.53 - 9.53. Which is the nearest to i? (a) -5 (b) -1\/4 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 48*r + 12 + 12 + 14 - 38 - 38*r.\nAnswer: 10*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -73\/436308 and 29\/12?\nAnswer: 436308","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 240*u**3 - 2*u + 1. Let f(c) = c**2 - 4*c + 1. Let d be f(4). Let r be y(d). Suppose t - v = 30 + 29, -4*t + 5*v = -r. What is the tens digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 2937*m. Let z(y) = -8813*y. Calculate 8*u(j) + 3*z(j).\nAnswer: -2943*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 59 - 61 - (-2 + (-1 - 0))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 249644?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -u**3 - 7*u**2 - 8*u - 7. Let v be m(-6). Suppose -v*f - b + 2 = 14, -4*f - 4*b = 16. Which is bigger: f or -9?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*y - q = -3*y - 5, -y + 6 = -4*q. Suppose y*b - 5 = -1. Suppose 0*u - 2*u + 10 = 4*m, b*u + m - 7 = 0. List the prime factors of u.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.1, 1, -7\/3, -43, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 15*g**3 - 5*g**2 + 5*g + 7. Let i(m) = 8*m**3 - 3*m**2 + 3*m + 4. Calculate 3*b(p) - 5*i(p).\nAnswer: 5*p**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = 3*w - 9, 5*w - 2*z - 31 = -0*z. Suppose -w*b - 50 = 5*c, -4*b + b + 45 = -2*c. Which is bigger: -16 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 (base 13) in base 2?\nAnswer: 1111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3188.\nAnswer: 2, 797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (98*y + 459*y - y**2 + 304*y)*(-2 + 1 + 2) as c*y**2 + z*y + b and give z.\nAnswer: 861","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 32710 rounded to the nearest 1000?\nAnswer: 33000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -7 - -1689048507\nAnswer: 1689048500","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -15569, -15571, -15573, -15575?\n\"Answer: -2*m - 15567","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 3 - c**2 + 3*c**2 + 2*c**3 - 3*c**2 - 4*c. Let m be 2\/(-13) - (-84)\/39. What is the units digit of b(m)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 30\/8 - (-4)\/16. Suppose g*v - 10 = -v. Let n = 14 + -4. What is the least common multiple of n and v?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 277 minutes before 3:54 PM?\nAnswer: 11:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 w when three letters picked without replacement from owoowoow.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v + 4 = -4*x - 9, -7 = 2*v + x for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-9)\/((-648)\/(-16)) - (-74)\/9. Suppose -8*t = z*t - 176. Calculate the smallest common multiple of t and 4.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -7*u**2. Let k(c) be the first derivative of 0 + 0*c**2 + 1 - c**2. Calculate d(k(p)).\nAnswer: -28*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gg when two letters picked without replacement from sggssssggsgg?\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = -5*k + 15. Suppose 0*l = -3*l - 2*c + 20, -k*l + 3*c = -27. List the prime factors of l.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(5) + sqrt(55)\/(sqrt(55)\/sqrt(5)) - (sqrt(5) - sqrt(25)\/sqrt(125)).\nAnswer: 6*sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1, -2\/17, -2, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 12*m + 24. Is 24 a factor of g(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = -8*z + 8. Suppose s - 45 = -4*g + 48, 0 = -5*g + 3*s + 129. Let h(u) = 24*u - u**z - g*u. Let n(v) = 3*v**2. Determine n(h(x)).\nAnswer: 3*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -3982 - 1885*o + 3982 as f + a*o and give a.\nAnswer: -1885","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2.29 + 1.36. Let y = l + 4.93. Let m = -365\/6 - -61. Is y at most m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2.2 + -9.8. Let y be -136 - -138 - ((-4)\/(-10) + 861\/210). What is the closest to 2 in y, l, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7.7073 litres?\nAnswer: 7707.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8233539, -8233538, -8233537, -8233536, -8233535, -8233534?\nAnswer: -8233533","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 3 = -2. Let x = 9 - n. Suppose -5*h = 0, x*h - 48 = -4*b + 3*h. Calculate the highest common factor of 3 and b.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 203163404.\nAnswer: 2, 50790851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 928\/63 - 130\/9. Let o = 5\/58362 + 116549\/2042670. What is the closest to -2\/11 in -1\/5, o, g?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 554317 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0\/((-150)\/30 + (-1 - -3)). Which is smaller: 17\/278 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -22122123 - 13020?\nAnswer: -22201203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 285 + 266. What is the units digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 40 - 1657*h**2 + 830*h**2 + 819*h**2 + h**3 + 2*h**3. Let j(i) = -i**3 + 3*i**2 - 13. Give -3*a(d) - 8*j(d).\nAnswer: -d**3 - 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 1, x: 2, b: 1, u: 1, i: 2}. What is prob of picking 1 b, 1 u, and 2 x?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 20 = 3*r. Let j be r\/35 - (-9)\/7. What are the prime factors of (14\/(-8))\/(j\/(-4))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1386.1 + 1386. Which is the closest to g? (a) 1 (b) 4 (c) -1 (d) 76\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2003 + -14017\/7. What is the closest to 0.1 in 0, 1\/3, a?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.055301795 to 2 decimal places.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6240572*t**3 - 13454142*t**2 wrt t.\nAnswer: -37443432","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*g + 2*g + 98 = -14 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*a + 4*a - 135 = -123 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -765, -1493, -2191, -2847, -3449?\n\"Answer: 2*j**3 + 3*j**2 - 751*j - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -381092\/9 + 381122\/9. Let -1\/6*n**2 + p*n - 19\/6 = 0. What is n?\nAnswer: 1, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:50 PM and 12:45 AM?\nAnswer: 535","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 f when two letters picked without replacement from {c: 3, h: 1, d: 3, k: 1, f: 3}?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*s**2\/5 + 31676*s\/5 + 6336.\nAnswer: -4*(s - 7920)*(s + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 100 - 2102\/21. Let i = -707 - -702. What is the nearest to -1 in x, 0.1, i?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (0 + 16\/(-20))*-5. What is the derivative of -6*s**4 + 3*s**4 + 3*s**f - 6*s**4 - 6 wrt s?\nAnswer: -24*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 828990*u**4 - 842173*u**2 wrt u?\nAnswer: 19895760*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 43*t**2 + 5*t + 66196. What are the prime factors of f(0)?\nAnswer: 2, 13, 19, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*o**2\/5 - 4982856*o\/5 - 4982853\/5.\nAnswer: -3*(o + 1)*(o + 1660951)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -196*x + 2333 - 177 = 0 for x.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -r**2 + 4*r + 5. Let f be k(5). Suppose -8 = -2*l - f. Suppose 0 = 3*z - 5*a - 1472, -1986 = -l*z - 0*z + 2*a. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -5*y**2. Let c(a) = 5*a - 3. Let r(q) = -16*q + 10. Let t(k) = 10*c(k) + 3*r(k). Determine t(s(d)).\nAnswer: -10*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) be the first derivative of 671*t**4\/4 + 7*t**3\/3 + 27*t**2\/2 + 71. Find the third derivative of z(i) wrt i.\nAnswer: 4026","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-8)\/((-1)\/1)*(-33)\/66. Let f be (3\/y)\/(-3*30\/72). Is 0 at most as big as f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -215*z - 2. Let j be g(9). Let h = j - -3282. Suppose h = 3*i - 2*w, -3*i + 3*w + 1341 = -0*i. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the second derivative of -h**4\/12 + h**3\/6 + 3*h**2 - h. Let y be 2\/3*(-9 - 0). Let n = y - -6. Determine j(n).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) be the third derivative of -o**9\/30240 + o**6\/144 - o**5\/15 + 4*o**2. Let p(j) be the third derivative of c(j). Differentiate p(x) wrt x.\nAnswer: -6*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -9397, -9406, -9419, -9436, -9457?\n\"Answer: -2*w**2 - 3*w - 9392","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -403.2 + 403. Let s be ((-8)\/(-16))\/(0 - 2). Let b = -0.1 - -1.1. What is the nearest to b in -1\/3, s, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -2280, -2292, -2314, -2346, -2388, -2440?\n\"Answer: -5*s**2 + 3*s - 2278","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 195863 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2108\/9 - -5959\/45. Let t = -97 - d. Find the common denominator of -6\/11 and t.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3073523 (base 9) in base 6?\nAnswer: -55113503","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -447*b = -381 - 4536 for b.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -5*o**2 + 58*o**2 - 5*o**2. Let g(c) = 0*c**2 - 3*c**2 + 3*c**2 + c**2. Let i(t) = 88*g(t) - 2*v(t). Let y(m) = 3*m**2. What is y(i(a))?\nAnswer: 192*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -58 (base 9) in base 13?\nAnswer: -41","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -3*k. Let l(y) be the first derivative of y**2 + 2. Calculate 6*l(x) + 5*q(x).\nAnswer: -3*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 176 minutes after 1:32 AM?\nAnswer: 4:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 2 + 0 + 25 + (-5 + -14 - -25)\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 56550\/11 or 5142?\nAnswer: 56550\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*m**3 + 6*m**3 - 3*m**3)*(-2106*m - 1688*m + 2946*m) + (2*m**2 - 2*m + 2*m)*(2*m**2 - 4*m**2 + m**2) + 4*m - m**4 - 4*m.\nAnswer: -4243*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -10*i**5 - 127338*i**4 + i**3 + 980706834*i**2 wrt i?\nAnswer: -600*i**2 - 3056112*i + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 285 a factor of 1484568117?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 951*g + 30 = 936*g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -132*r**2. Let v(b) = -9*b**2 - 12*b**2 - 9*b**2 + 10*b**2 + 17*b**2. Give v(a(m)).\nAnswer: -52272*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-164)\/((-13448)\/(-123))*(-104)\/(-3).\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2105143 - 4435?\nAnswer: 2100304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 1. Let w(r) = r**2 - r + 1. Let q(z) = d(z) - w(z). Suppose 80 + 0 = 16*a. Give q(a).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 52975153 and 322666841.\nAnswer: 3549335251","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 6*i**3. Let y(n) = 32*n**3 - 16*n + 230. Determine -5*j(l) + y(l).\nAnswer: 2*l**3 - 16*l + 230","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/3 greater than or equal to -1532.792?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + 0 + (4 + 2*sqrt(847) + sqrt(847) + 2 + sqrt(847) + -1)**2 + 3 + 2*(sqrt(847)*-1)**2 + ((sqrt(847) + 1)*-2 - sqrt(847)).\nAnswer: 407*sqrt(7) + 15267","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5\/6 in -4, 0.2, -2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -512, -509, -506, -503?\nAnswer: -500","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 154805 to the power of 1\/4, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/3, -17, -0.04 in descending order.\nAnswer: -0.04, -2\/3, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 (base 14) in base 3?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve m + 10 + 14 = -4*f, 0 = -f + 5*m + 15 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u, 1 k, and 1 q when three letters picked without replacement from rjjqjjejjkjkju?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -0.3+-5794.25608\nAnswer: -5794.55608","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 26586, 53464, 80342, 107220, 134098, 160976?\n\"Answer: 26878*x - 292","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) -3 (b) 175230 (c) 0.141\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -g**2 - 7*g + 17. Let b be u(2). Let s = 62 - b. Calculate the least common multiple of s and 36.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2 + 8\/(-2) + 5. Suppose 2*q + i*u - 410 = 0, -6*u - 4 = -8*u. Suppose 0 = 5*t + 5*w - 1182 + q, 5*w = 4*t - 766. What are the prime factors of t?\nAnswer: 2, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that -3*s**4 + 426*s**3 + 10521*s**2 + 49452*s + 39360 = 0.\nAnswer: -16, -5, -1, 164","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*p**4\/4 - 6057*p**3\/4 + 29606409*p**2\/4 + 95808062469*p\/4 + 36353718847215\/2.\nAnswer: -3*(p - 3630)*(p + 1883)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 117*p**2 + 763*p - 67. What is b(-10)?\nAnswer: 4003","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -5 (b) -0.3 (c) 380 (d) 0.2 (e) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -264 + 481. What is the hundreds digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6*(-1)\/(-24))\/((-6)\/(-72))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30353882 is divided by 15124.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 56 in -0.3, 2, -0.03?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 2*f**3 - 2*f**2 + 7*f + 8. Let j be l(-6). Let h = -918 - j. Round h to the nearest one hundred.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8 divided by 30\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3040 + 14?\nAnswer: 3054","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 47777, 96156, 144535, 192914, 241293?\n\"Answer: 48379*r - 602","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 34, 46, 78, 142, 250, 414, 646, 958?\nAnswer: 1362","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = w - 0 - 4. Let g be w\/4 - (2 + -1). Find the first derivative of g*r**3 + 0*r**3 - 3*r**4 - 3 wrt r.\nAnswer: -12*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -k**3 + 3*k**2 + 5*k + 2. Let y = 17 - 13. Let z be h(y). Suppose -2*f + z = -0*f + 4*s, -4*f + 16 = 4*s. Sort -4, f, 3 in decreasing order.\nAnswer: f, 3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 569634 divided by 1417.\nAnswer: 402","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3643898 and 1719?\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -5*l + 31. Let o be n(8). Let f be o*9\/(-108)*8. Sort -3, -2, f in increasing order.\nAnswer: -3, -2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -c - 2*v + 13, -2*c - v + 2 = -3*c. Let s be 16\/1 - 4\/(-2). Suppose s = m + m. Solve -4*l = u + m, -c*u + 3*l = l - 15 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-267)\/(-356))\/((-3)\/(-32)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s + 37 = -34*v, s - 604*v = -601*v - 27 for s.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = j**2 - 22*j - 26. Let b be v(18). Let n = b - -192. What are the prime factors of n?\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of 1 - (272\/(-12))\/(1\/3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 2, l: 6}. Give prob of picking 1 v and 1 l.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2665 or 2667?\nAnswer: 2667","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1136571361 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 4*b**2 - 1. Let h be p(1). Suppose -4*f = 2*s - 12, 4*f + 4 = 3*s + h*f. Does 2 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*x - 44 + 44)*(-1 + 22 + 10).\nAnswer: -124*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 92369, 92367, 92365?\nAnswer: 92363","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3143 - 6969. Let r = d - -8626. Round r to the nearest 1000.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 159\/119 - 30\/17. Which is the closest to y? (a) 1\/8 (b) -1\/4 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -13 + 10. Let h = -0.7 + 0.4. Let t = 2.3 + h. What is the third smallest value in y, t, 1\/2?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 93 is divided by 28?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1 - 117?\nAnswer: -116","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4\/(-12)*-6 + -2. Let h(z) = -z**3 - 7*z**2 - 2*z + 26. Let f be h(-6). Let l be -1 - -3 - 0\/f. Solve n = l*t + 2*t - 12 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 199379?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**2\/3 + 3*d.\nAnswer: d*(d + 9)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -7\/15 (b) -0.2 (c) 42 (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 2411 = -3*s - 2*c, 5*s + 5*c = -4020. Let n = s + 1493. List the prime factors of n.\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -l + n + 7, 0 = 5*l + n - 22 - 19. What is the greatest common factor of l and 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 3*o + 2*o. Let m(l) = l**o + 0*l + 3 - 2 - 7*l + 2*l. What is the units digit of m(-4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 3*t - 2. Let w be z(4). Let m be 2451\/2 + (-80)\/(-32). Suppose 0 = -w*k + 8*k + m. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -423*k - 529 = -1375 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 59 = 4*w, 0 = w + 2*w - 2*o - 36. Let k = 8 - w. Let u(j) = -j**3 - 5*j**2 + j - 10. Is u(k) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*d + 4*t + 64, -52 = -2*d + 5*t - 0*t. Let o = d - 10. Suppose 0*r + 6 = 3*r. Calculate the smallest common multiple of o and r.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -37 + 1459814?\nAnswer: 1459799","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 39*x - 7*x - 28*x - 172 for x.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10644 (base 7) to base 11.\nAnswer: 205a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -34*o - 5*o + 4*o + 455 for o.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 583 a factor of 67652045?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*t**5\/11 + 8*t**4\/11 + 4*t**3\/11 - 8*t**2\/11 - 6*t\/11 = 0. Calculate t.\nAnswer: -3, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-5\/6)\/(d**(-25)*d))**(-32) assuming d is positive.\nAnswer: d**(-2224\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) 5 (b) 15 (c) 4\/111 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence recy when four letters picked without replacement from enrnbrrcrbynbennern.\nAnswer: 5\/31008","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1002 and 9?\nAnswer: 3006","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 130\/81 - -14\/81. Determine i so that -g*i + 10\/9*i**2 - 2\/9*i**3 + 8\/9 = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 18 - 101 - 177 + 50)*(25*a - 2*a - 4*a).\nAnswer: -4636*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-37785)\/(-1374))\/((-5)\/(-2)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 16.9356 years in centuries?\nAnswer: 0.169356","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -10447.633 - -10419. Let f = -28.5 - o. Let k = -0.633 + f. Sort 0.1, k, 1 in decreasing order.\nAnswer: 1, 0.1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 870 and 630.\nAnswer: 18270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 31b8 (base 13) in base 11?\nAnswer: 5213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 4*o**2 + 7*o + 9. Calculate r(-2).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1370.494150044 less than 0.4?\nAnswer: 1370.894150044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 104054742?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 37 + -37. Suppose 3*u = 12, -2*b + b - u = v. What is the tens digit of 44 + (4 - 0)\/b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2079 and 294.\nAnswer: 29106","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 4339.981 millilitres in litres?\nAnswer: 4.339981","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1021*l**3 - 5*l**2 + 5*l**2 + 3 + 1051*l**3.\nAnswer: 30*l**3 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*u = -2*x + 24, 5*x - x - 4 = 2*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (150 - 56 + 32)*(-g**2 + 0*g**2 - g**2)*(4 - g - 4) - 1 + 0*g**3 - 4*g**3 + 3*g**3.\nAnswer: 251*g**3 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4)\/12 - (-91)\/147. Which is the third smallest value? (a) y (b) 97 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -127.305 + 0.4.\nAnswer: -126.905","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in -5, 0, 250?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1393 + 1708. What is the least common multiple of 33 and y?\nAnswer: 3465","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 2*z - 90 = 0, 4*h - h = 3*z + 63. What is the units digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 468 minutes before 12:34 AM?\nAnswer: 4:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 50\/(-30)*(-2 + 1 + -2). Let l(g) be the second derivative of 1\/2*g**3 - 3\/20*g**i - 3\/4*g**4 + 9\/2*g**2 + 0 + 2*g. Factor l(v).\nAnswer: -3*(v - 1)*(v + 1)*(v + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*f - 5*f + i + 8, 5*f - 19 = -2*i. Let g(s) = -3*s + 47. Calculate the remainder when g(11) is divided by f.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 3720942?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*a**2 + 24*a**2 + 7*a**2 - 5*a**2.\nAnswer: 23*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*c**2*g*k - 278*c**2*g - 232*c*g*k - 2*c*g + 2*c - g wrt k?\nAnswer: -2*c**2*g - 232*c*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 83*g = 82*g + 4. Let m = -9.5 + 7. Let x = -3 - m. Sort g, 3, x in descending order.\nAnswer: g, 3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -167*h**5*n + 5*h**2*n**2 - 6*h*n - 3*h - 3*n**2 wrt h.\nAnswer: -3340*h**3*n + 10*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.17 + -0.07. Suppose 3*r + 2*f = -2*r - 7, -2*r = -4*f - 2. Let b be (-1)\/((-2 - r)*3). Is p greater than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 6 + -3 + -6 - 2.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**20\/p**(3\/11) assuming p is positive.\nAnswer: p**(217\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*z + 3, 3*z + 10 + 8 = 3*f. Suppose -18 = 2*p + f*q - 87, q = p - 45. Calculate the remainder when 124 is divided by p.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 112*z - 126*z = 70. Let i(l) = l + 6. Let w(k) be the second derivative of k**3\/6 + 5*k**2\/2 - k. What is z*i(o) + 6*w(o)?\nAnswer: o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 101110100111100010 (base 2) in base 11?\nAnswer: 120508","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*a**2 + 0*a**2 + 0*a**2)*(-147 - 1269 + 32).\nAnswer: 2768*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*g**3 - 124*g**2 + 124*g**2.\nAnswer: 12*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*g = 9*g. Suppose 5*f = p - 68, 6*f - f = g. Calculate the greatest common divisor of 17 and p.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (0 + -4 + 6)\/(3 - -1). Let x = -1342 - -1339. Which is the nearest to -2\/11? (a) -1.1 (b) x (c) 4 (d) g\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.0709 times 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.01, 0.4, -3, -5, 1\/10?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/2*(((-4576)\/(-144))\/(-26))\/((-220)\/5640)?\nAnswer: -94","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 1. Suppose 3*i + i = -8. Let s(m) = 3*m + 1. Let c(y) = y. Let z(w) = i*c(w) + s(w). Let f(q) = -n(q) - 2*z(q). Differentiate f(g) wrt g.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 199781 and 29.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 21*p**2. Let c(t) = -15*t. Give c(r(y)).\nAnswer: -315*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/((-3)\/(-6)))\/6.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4)\/(-3)*11216\/552. Let m = -245\/9 + u. Which is smaller: 0 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q**3 + 18*q**2 + 16*q - 22. Let h be m(-17). Let t(w) = -w**3 - 6*w**2 - 8*w - 5. Let u be t(-5). Let c = u + h. List the prime factors of c.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = x. Let z(a) = 69*a + 22. Give b(j) + z(j).\nAnswer: 70*j + 22","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 34 - 23. Suppose 2*k - 4*r - 20 = 0, 3*k - 40 = -k - 5*r. Let n = k + -4. Calculate the smallest common multiple of n and m.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = r**2 - r + 1. Let z(q) = 2*q**2 - 5*q - 3. Let v(l) = -4*o(l) + z(l). Let i(g) be the first derivative of v(g). Let n(x) = -x. Give 2*i(u) - 6*n(u).\nAnswer: -2*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*t - 4*o - 26 - 18, o + 5 = 0. Let m = t + 22. Suppose -m = k - 3*k. Calculate the greatest common divisor of k and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 4*q**3 - 29*q**2 + 7*q - 14. Let x(z) = 11*z**3 - 87*z**2 + 20*z - 37. Determine 8*l(b) - 3*x(b).\nAnswer: -b**3 + 29*b**2 - 4*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 4 + 0)*(-487*t - 2017*t**4 + 432*t + 2013*t**4).\nAnswer: -8*t**4 - 110*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.5533 and 35?\nAnswer: -19.3655","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 29633533 to the nearest integer?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1278421 is divided by 1036.\nAnswer: 1033","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 + 5*i - 7*i**2 - 5*i + (0 + 0 - i)*(i - 4 + 4) as r + p*i + z*i**2 and give z.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the second derivative of -3103*r**7\/42 - 113*r**3\/3 - 13*r**2\/2 - 148*r. Find the second derivative of k(z) wrt z.\nAnswer: -62060*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-5)\/25)\/((2 - 0)\/4). Is -6 greater than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 15 + 13 = -5*r, -h - 16 = 5*r. Sort h, 1, 2.\nAnswer: 1, 2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7251 - 195. Does 16 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1*((-6)\/(-3 + 5) + 2). Which is smaller: p or -2\/79?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 383 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s\/((s\/s**(-1\/23)*s)\/s)*s*s*s*s**(11\/4) assuming s is positive.\nAnswer: s**(525\/92)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:03 PM and 3:51 AM?\nAnswer: 708","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -o**4 + 3*o**4 + 0*o**4 + 0*o**4 - 4*o**4 + o**4 + (-o**2 - o**2 + 0*o**2)*(-2 + 2 - 3*o**2) to s + k*o**3 + p*o**4 + l*o**2 + m*o and give p.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -14 + -495?\nAnswer: -4a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1155*-4036.\nAnswer: 4661580","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cnczbz. Give prob of sequence cc.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-3376)\/56 - (-2)\/7. Let g be 77\/5 - (-24)\/q. What is the tens digit of 3 + ((-12)\/g)\/(2\/(-275))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11370.\nAnswer: 2, 3, 5, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 78114.26 centuries to years.\nAnswer: 7811426","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3522439 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 158*o + 21*o**2 - 10 + 7 - 156*o to the form k*o**2 + v*o + u and give u.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cvyu when four letters picked without replacement from ycypypuvyypuyyypjpyy?\nAnswer: 1\/5814","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -p + 5 + 15. Suppose 2*v = 4*f + 22, -2*v + 5*f + p = 2*f. Is 5 not equal to v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**3 + 1680375*l**2 + 36968613*l + 203328037.\nAnswer: -(l - 1680397)*(l + 11)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1186.\nAnswer: 2, 593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1018 - 1460 + 8*y - 7*y - 1005 - 8*y.\nAnswer: -7*y - 3483","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (3\/((-9)\/12))\/(-1). Let l be (-11)\/3 + g\/6. Let t(b) = -10*b - 4. Is 13 a factor of t(l)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 33525 is divided by 66?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - x - 35 = 0. What is the units digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -10*p + 19. Calculate w(5).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -2, -1\/9, -5?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 52\/(-12) - -4 - 2086\/6. What is the common denominator of -2\/5 and 4\/12 + 1\/(g\/(-175))?\nAnswer: 580","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fffjfbffjfffffj. What is prob of picking 1 f and 1 b?\nAnswer: 11\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 5\/4 of a hour?\nAnswer: 4500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 - (-5 + 21) - -18?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7 + 27. What is the remainder when 59 is divided by n?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = i**2 - 4251*i - 412518. Calculate v(-95).\nAnswer: 352","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 3*v**2 + 7*v + 8. Calculate the remainder when t(-2) is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1160781634?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-1\/11)*j)\/j**7*(j\/j**(-7))\/j**(-14) assuming j is positive.\nAnswer: j**(175\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 157*x = 201*x - 1343276. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -597*q + 597*q - 338*q**3 + 591*q**3 - 311*q**3.\nAnswer: -58*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = j**3 - 7*j**2 + 7*j. Let w be z(6). What is the units digit of ((-21)\/w - -2)*-6?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000000111 to seven decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -4*p. Suppose 21 = q + c - 5*c, -4*q = -5*c - 29. Let k(n) = q - 23*n + 63*n - 21*n - n. Give k(f(r)).\nAnswer: -72*r + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -690\/1253?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 34 and 12063322.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1248 and 39?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = g + 3. Let c be i(-1). Solve 1 - c = d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-16)\/56 + 270\/14 is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -808 by 8.\nAnswer: -101","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -364 - -353. Let f(k) = -752*k**2 + 3*k - 11. Let b(q) = 251*q**2 - q + 4. Let d(m) = i*b(m) - 4*f(m). Find the second derivative of d(z) wrt z.\nAnswer: 494","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}