diff --git "a/data/dm_maths/full_data_2/6536_11255.jsonl" "b/data/dm_maths/full_data_2/6536_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_2/6536_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Let u = 1317.5 + -1451. Round u to 0 dps.\nAnswer: -134","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4.2 times -6.2\nAnswer: -26.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 101\/3 - 33. Let b = -22\/3 + 8. Factor -2\/3*f**5 + 0 + u*f**3 - b*f**2 + 2\/3*f**4 + 0*f.\nAnswer: -2*f**2*(f - 1)**2*(f + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -h**5*x + 1750*h**4*x**2 - 26*h**2*x**2 - 20*h*x**2 wrt h?\nAnswer: -60*h**2*x + 42000*h*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -445*k + 433*k = -72 for k.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 440.326 < 0.16?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i, 1 v, and 2 l when four letters picked without replacement from {l: 7, i: 1, p: 1, w: 2, t: 2, v: 2}.\nAnswer: 2\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 + 2 = j. Suppose m + 0*m - 2 = -h, j*m = -5*h + 12. Solve -13 = -3*r - z, -4*z = -h*r + 14 - 6 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*o = 5*o + 36*o - 1170. Solve 3*n - 2*k + k - 16 = 0, -4*n - 2*k + o = 0 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -9*b**3 - 4*b**2 - 15*b - 3. Let s(t) = 38*t**3 + 18*t**2 + 62*t + 13. Determine 9*h(c) + 2*s(c).\nAnswer: -5*c**3 - 11*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -2*o**3 - 1. Let r be t(-1). Let l(s) be the third derivative of s**6\/30 + s**4\/12 - s**3\/6 - 8*s**2. Give l(r).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 163 and 3386.\nAnswer: 3549","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 318 minutes before 8:20 AM?\nAnswer: 3:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 30 + -8?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l + 4 = 3*l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.03, 2\/7, 70 in ascending order.\nAnswer: 0.03, 2\/7, 70","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 3\/25 of a kilogram?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5064 - 5055. Solve 35*j - q = 32*j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 320 minutes before 8:48 PM?\nAnswer: 3:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7 - -5. What is the least common multiple of 10 and y\/10 + (-99)\/(-45)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/919? (a) 16 (b) -0.18 (c) -1\/4 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 - 3888558*g**2 - g + 3897436*g**2 + 2*g to the form u*g + z + b*g**2 and give b.\nAnswer: 8878","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -3718 minus 33386347?\nAnswer: -33390065","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 43354 and 106.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 463994630 to the nearest integer?\nAnswer: 774","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -280*q + 1002*q - 15363985*q**2 - 2 + 15363987*q**2 to u*q**2 + f + y*q and give y.\nAnswer: 722","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 7 (b) -1\/4 (c) -0.06\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -29 - (29 + (22 - 85)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -27288 + 45708. Calculate the greatest common divisor of 20 and v.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 143350, 287291, 431232, 575173, 719114, 863055?\n\"Answer: 143941*r - 591","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 884.6727 nanometers in millimeters?\nAnswer: 0.0008846727","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 291 minutes before 11:06 AM?\nAnswer: 6:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2 - (-2 - -2)\/(-1). Suppose -5*d + 99 = s - 3*s, -d = s - 24. Suppose a = -l*a + d. Which is smaller: 9 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, 1, -2\/13, 3 in increasing order.\nAnswer: -0.3, -2\/13, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 110 + -248. Let k = -130.48 - o. Let i = k - 7. What is i rounded to 1 dp?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 18 and 5034.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 54 - 35 + 0*o**2 + 23 + 3*o**2 + 8*o**3 with respect to o.\nAnswer: 24*o**2 + 6*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1 - -3. Let t be (-4)\/20 + 80\/25. Suppose -3*g = -4*v + 17, 3*v - 2*v - 2 = t*g. Solve 0 = n + m*n + v for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -17\/53568 and 49\/6696.\nAnswer: 53568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (5 - ((-3)\/(-1))\/1) + 0. Solve 6 = -i*f + 3*j + j, -3*j = -5*f - 15 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -29, 8301, 0, 2, -2, -8, -3 in decreasing order.\nAnswer: 8301, 2, 0, -2, -3, -8, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 69 + -24. Is 9 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 134275325?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 34\/2 - (-4 - -5). Let w(f) = -f**2 - 7*f - 1. Let n be w(-5). Let o = s - n. List the prime factors of o.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3234 = -69*y + 58*y. Suppose 4*o - 12980 = 2*r, -3*o = -5*r - o - 32466. Let z = r - y. What is z rounded to the nearest one thousand?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 688608 to the power of 1\/6, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4\/(-3)*3\/(-2). Let j = 95 - 91. Suppose 4*t + j*v = -10 - 2, -4*v = 2*t + 2. Put -3, t, w in decreasing order.\nAnswer: w, -3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 180792, 361559, 542308, 723039, 903752, 1084447?\n\"Answer: -9*n**2 + 180794*n + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 4 + 4 + (-1 - 5 + 5)*(3 - 3 - 1) - 1 + 5 - 3 + 109 + 30 + 40)*(-n**2 + 0*n**2 + 2*n**2).\nAnswer: 182*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = h + 24*z - 22*z + 24, -7*z - 11 = -5*h + 22 + 51 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -182, -367, -552?\nAnswer: -737","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -8573*j**2 - 1140*j - 22293063?\nAnswer: -17146*j - 1140","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by -577.\nAnswer: -3\/577","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 72.94257 micrograms to milligrams.\nAnswer: 0.07294257","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange z + 9670 + 2*z**3 + z**4 - 9661 - 2*z**2 + 12*z**2 - 4*z**4 to the form q*z**2 + f*z**3 + s*z**4 + v*z + d and give d.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.05 in 0, -15.5, 46?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 21987521950 rounded to the nearest one million?\nAnswer: 21988000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*i - 4*i + 5*i + (2 - 3 + 2)*(-2*i + 2*i - 4*i).\nAnswer: -8*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 517 is divided by 154?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -16, -41, -80, -139, -224, -341, -496?\nAnswer: -695","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = s**2 + 14*s + 50. Let z be y(-5). Solve -5*j - 4*t - z = 31, 4*j = 4*t for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f - 3*s - 11 = 0, -4*f + 3*s + 247 - 228 = 0 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = 9*j + 2*j. Let c(i) = i**3 - 62 + 9*i + 128 - 67 + 9*i**j. Determine c(-8).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -s**4\/11 - 755*s**3\/11 - 102706*s**2\/11.\nAnswer: -s**2*(s + 178)*(s + 577)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (211 - 180 + 468)*(0*f + f + f).\nAnswer: 998*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -2777070060 rounded to the nearest 1000000?\nAnswer: -2777000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 3122.29 rounded to the nearest one hundred?\nAnswer: 3100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1, 26, 99, 242, 479, 834?\nAnswer: 1331","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (2 + -2)\/(2\/2). Let o = -320.8 - -321. Which is the closest to 1\/4? (a) 0.1 (b) o (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -15*v**3 + 2 + 4*v**2 + 151*v - 67*v - 85*v to the form z*v + m*v**2 + p + k*v**3 and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -k. Suppose -3*m - 2*z - 19 = -4*z, -11 = -m + 5*z. Give r(m).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -77*b + 4573. Let f be o(-21). Calculate the highest common divisor of 10 and f.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39952651 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8811*g - 3587*g + 25 + 4694*g - 25.\nAnswer: 9918*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.7 - 1. Suppose n = -1, 34*n + 21*n + 65 = 5*c. Suppose 5 = 2*p - 5. What is the nearest to j in c, 0.4, p?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 34 and 7837.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 2*m**2 - 2. Let z = -2028 - -2049. Calculate the smallest common multiple of o(-5) and z.\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1608551350 a multiple of 511?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of a**6 + 8*a**5*v + 3254*a**3 - a**2*v - 11*a**2 - a*v + 130*a wrt a.\nAnswer: 120*a**3 + 480*a**2*v + 19524","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*n**3 - 10242 + 10242.\nAnswer: 4*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -q - 3*q. Suppose -4*g + q*g = -64. Suppose 0 = -y - b + 4*b, -g = -y - 5*b. What is the units digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3\/1279 + -76761\/8953. Suppose -2*d = -5*w - 55, 11 + 31 = -3*w + 3*d. Is w greater than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.03009032581 to six decimal places.\nAnswer: -0.03009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -71\/114304 and -6\/235.\nAnswer: 571520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 1477\/60639?\nAnswer: 1477\/60639","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1601 - 1519 - (-1 + 45)?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 23, 349, -4 in descending order.\nAnswer: 349, 23, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -h**2 - 1 + 1 + (-2*h - 3*h + 6*h)*(-6*h + 4*h - 2*h).\nAnswer: -5*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h + 21*p - 227 = -3*h, p - 3*p = 14 - 36 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -4*k + 16. Let d(i) = 9*i - 64. Calculate -3*d(a) - 8*f(a).\nAnswer: 5*a + 64","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -61602473 + 61587753 = 160*y for y.\nAnswer: -92","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -334 - 14 = -3*h. Let d be (-4)\/(-18) + h\/(-36). What are the prime factors of 1\/((-16)\/(-5) + d)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 <= -13475\/22051?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + (-4 - -4) + 11 + -2?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 6*sqrt(76).\nAnswer: 3 + 12*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -7*w**3 - 43*w**2 + 23*w + 14. Is f(-9) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = c**3 + 14*c**2 - 17*c - 5. Let y be x(-15). Let b = -1 + 3. Suppose b = 3*i - y. What is the units digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g - 4*u = -19, 0*g - 4*g = -3*u - 9 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 14 = x, -w = -2*w - 2. What is the remainder when x is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*z + 23*z + 52766*z**2 - 18*z.\nAnswer: 52766*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the third derivative of -25*j + 2*j**2 + 0 - 1\/40*j**6 - 5\/84*j**8 + 0*j**7 + 0*j**3 + 11\/10*j**5 + 0*j**4. Find the third derivative of w(x) wrt x.\nAnswer: -1200*x**2 - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 90 divided by 1180944?\nAnswer: 5\/65608","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 1, o: 4, k: 2, n: 3, q: 1}. What is prob of picking 1 k, 1 q, and 1 o?\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1908, 0.5, -3\/14?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -95 - 6*j - 17*j - 9*j + 18 + 26*j to the form d + i*j and give i.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 98827, 197580, 296333?\nAnswer: 395086","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 23240 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1.4 - 0.6. Let t = 2.7 + c. Round t to 0 decimal places.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10110110000111111 - -1100?\nAnswer: 10110110001001011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 7*-4058.44\nAnswer: -28409.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -z**2 - 4*z + 5. Let x = 4 + -5. Let p = -6 - x. Calculate i(p).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*x + 3*x + 2*x - 9*x - 11*x + 0*x + (-1 - 1 + 0)*(-x - 2*x + 2*x) + 0*x - 2*x + x + 2*x + 1 - 1 - 2*x + 0*x - 2*x.\nAnswer: -19*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 54469.9kg to tonnes.\nAnswer: 54.4699","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 11, 3, 55, -41, 2 in decreasing order.\nAnswer: 55, 11, 3, 2, -41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -12, 2, 42, 120, 248, 438, 702, 1052?\nAnswer: 1500","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 83860*c**3 + 27*c**2 + 128 wrt c.\nAnswer: 503160","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9422032, -2, 2 in descending order.\nAnswer: 2, -2, -9422032","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g\/(g\/((g**(-8)*g)\/g))*g**7 assuming g is positive.\nAnswer: 1\/g","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence awf when three letters picked without replacement from fwwawuuaaauufvtaaw.\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*c**3 - 312959*c**2 + 312959*c**2.\nAnswer: 3*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 122 (base 3) to base 12.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 151865.\nAnswer: 5, 7, 4339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7 - 11. Let m = -11 + 14. Sort m, u, -5.\nAnswer: -5, u, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 258\/2322*51*-3?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 38, 0, -3, 206.\nAnswer: -3, 0, 38, 206","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.15 (b) 1 (c) -4 (d) 2 (e) 1\/5 (f) 0.94 (g) 33\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 4 + 2)*(-64065*s**4 - 928*s**5 + 64065*s**4) + 3*s**5 + 4*s**5 - 3*s**5.\nAnswer: 932*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 166 a factor of 912661858?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y - 5 = 3*w, 0 = -y + 8*w - 7*w for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -3\/7, -1\/39, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 minutes before 10:16 AM?\nAnswer: 10:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = g**2 - 5*g - 2. Suppose 0 = -7*f + 17*f - 30. What is p(f)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00011317529 rounded to seven decimal places?\nAnswer: 0.0001132","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1.089 - -0.959. Is k less than -21?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -102.6284 rounded to one decimal place?\nAnswer: -102.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*q - 38 = -108 for q.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1116 - 1121. What is the closest to 13 in -3, 1\/3, 0.5, m?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 + 39 = 2*k. What is the remainder when (-9)\/(-6)*-1*15072\/(-144) is divided by k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*z - 15 = -24 - 21 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = -w - m + 3, -m - 1 = 0. Solve -4*k - w = 18 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*v**2 + 10451976*v + 6827737644036.\nAnswer: 4*(v + 1306497)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2232 - -100002?\nAnswer: 102300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:46 AM and 11:47 AM?\nAnswer: 421","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -29 + 7 + 3*r**3 - 17*r**2 - 21 with respect to r.\nAnswer: 9*r**2 - 34*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) be the first derivative of 97 - 5\/16*r**4 - 3\/8*r - r**2 - 23\/24*r**3. Factor n(u).\nAnswer: -(u + 1)**2*(10*u + 3)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8594115 + k + k**2 - 8594156 - 4*k**2.\nAnswer: -3*k**2 + k - 41","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-4)*s*s*(s\/s**4*s*s)\/s*s)\/(s*(s\/s**(1\/4))\/s)**10 assuming s is positive.\nAnswer: s**(-21\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -5*x**3 - x**2 - 2*x - 2. Let a be r(-2). Let s = 19 - a. Let i = s - -27. Calculate the least common multiple of 16 and i.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 120707*j**3 - 3*j - 211904 wrt j.\nAnswer: 724242*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5765862 to the nearest integer?\nAnswer: 2401","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = -3*b, 30*b = -4*j + 27*b - 30 for j.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 164286*h**2 - 148578*h.\nAnswer: 328572","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 1. Suppose 0 = b - 2*b - 1. Let h(t) = -t - 3. What is b*h(o) - 5*l(o)?\nAnswer: o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t = c + 2, -7*t - 9 = -10*t for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2920234321 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 s when two letters picked without replacement from zshhmfpszmmp.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = x**2 - 232*x. Let w(k) = -2*k**2 - 6*k. Let g(m) = -3*m**2 - 8*m. Let h(p) = -3*g(p) + 4*w(p). What is a(h(t))?\nAnswer: t**4 - 232*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 28.0601 + 0.0399. Let v = -11.6 + g. Let c = 16 - v. What is the closest to 0 in -1, c, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 7b + -77236?\nAnswer: -77177","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -r**3 - r + 4*r**4 - 4*r**3 + 6*r**3 as h*r**3 + u*r**4 + t + v*r + p*r**2 and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = v + 3. Let a(w) = w**3 - 16*w**2 - 35*w - 13. Let s be a(18). Calculate m(s).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 170483 - 170479. Let -12\/5*j**4 - 20*j + 20*j**3 + 32\/5 - p*j**2 = 0. What is j?\nAnswer: -1, 1\/3, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -519 + 3666*r + 519.\nAnswer: 3666*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 4, m: 8, n: 2}. Give prob of sequence mhnn.\nAnswer: 8\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 20*o + 1 + 7*o + 0 + 52*o - 5*o as p*o + g and give p.\nAnswer: 74","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -9 * 1\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in twenty-one fifths of a kilogram?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -10232\/3 > -3411?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -3*i**2 + i**3 - 16 - 3*i**3 + 11. Let w(u) = -3*u**3 - 5*u**2 - 9. Let r(a) = -3*a + 20. Let t be r(5). Determine t*o(q) - 3*w(q).\nAnswer: -q**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -3*d**2 - 45*d - 7. Let g(r) = -r**2 - 15*r - 2. What is -7*g(j) + 2*n(j)?\nAnswer: j**2 + 15*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h**(9\/4)*h*h\/(h\/(h\/(((h\/(h\/h**(-8))*h)\/h*h)\/h)*h)))**(8\/7))**(-3\/2))**21 assuming h is positive.\nAnswer: h**(-477)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32*c**2 - 165*c**2 - 72*c**2 - 23*c**2 - 301*c**2 + 11.\nAnswer: -593*c**2 + 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uzu when three letters picked without replacement from {u: 11, z: 3}.\nAnswer: 55\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1369 - 899. Suppose 0 = 9*y - 19*y + v. Let o = -44 + y. Solve o*n + 2*n = 10 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = w**2 + 8. Let v be t(0). Suppose -f + 2 = -2*u, 2*f + f - v = 4*u. What is the highest common divisor of 11 and u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*o + 9*o = -2*y - 124, 4*o = 2*y + 118. Let q be (-105)\/(-126) - y\/6. Calculate the highest common factor of 176 and q.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -1914*q - 3778. What are the prime factors of s(-5)?\nAnswer: 2, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -z - 235 + 238. Solve -z - 21 = 8*d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12\/(-18) + (-403100)\/(-75) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-20*n + 39 - 117 + 24*n)*(n - n - n).\nAnswer: -4*n**2 + 78*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -32 + 34. Solve 0*h + x = h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = h + 6. Calculate j(3).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 39*i**3 + i**2 + 4*i - 4. Let p be w(1). Suppose 2*c = 3*u + p, 2*c - 9*u - 40 = -13*u. Solve 3*k + k - c = 0 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*t = 39*t - 21. List the prime factors of (t - 8)\/(1\/(-59)).\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3301203 + 1?\nAnswer: 3301210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -110 (base 2) in base 10?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by 34.\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z when two letters picked without replacement from {l: 5, z: 3, s: 4, u: 1}?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/27 less than -1015?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 3820, 15034, 33718, 59872?\n\"Answer: 3735*k**2 + 9*k + 76","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = -5*q + 9, 0 = 3*y - q - 2*q. Let h be 0\/(-1*(y - 2)). Suppose -2*a + h + 108 = 0. Calculate the greatest common divisor of a and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0 + (7 - 0) + -1. Suppose 4*h + v*y - 5*y + 33 = 0, -5*h = -y + 39. Find the common denominator of (5\/h)\/(-3 - -2) and -20\/9.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21*54.89.\nAnswer: -1152.69","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 350*d**3 - 3*d**2 + 4*d. Let z be h(1). Let u(n) = n**3 + 7*n**2 + n - 6. Let c be u(-5). Calculate the greatest common divisor of z and c.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j**5\/5 + 6*j**4\/5 + 28*j**3\/5 - 6*j**2 = 0. What is j?\nAnswer: -5\/2, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*b + b + b)*(1 + 1 - 4) - 2*b + 0*b - 2*b - 3*b + 3*b + 2*b + b + 2*b - 2*b.\nAnswer: -5*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3711.0944 + 3714. Let z = 0.0944 + t. Suppose 0 = 5*i - 15, -3*g - 2*i + 1 = -8*g. Which is the closest to -3? (a) -1\/6 (b) g (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((sqrt(224)\/(sqrt(8)*2))\/sqrt(4))**2.\nAnswer: 21\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) be the third derivative of 1\/15*w**5 + 5\/3*w**4 - 1\/5*w**6 + 0*w - 13*w**2 + 0 + 2*w**3. What is g in p(g) = 0?\nAnswer: -1, -1\/3, 3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-266)\/(-63) + (-2)\/9. Suppose -59 = -q*h - 5*k, 0 = h + 3*h - 4*k - 104. What is the units digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p**5\/6 + 11*p**4 + 1151*p**3\/6 + 991*p**2\/3 - 192*p - 1024\/3 = 0. Calculate p.\nAnswer: -32, -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 591243942 to the power of 1\/6, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = t**3 + 6*t**2 - 3*t - 3. Calculate the remainder when 58 is divided by o(-6).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.3538 + 2.3538. Which is the nearest to g? (a) 0.4 (b) -49 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 2958078378?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -5\/123 and 115\/4932?\nAnswer: 202212","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 8 and 140896683.\nAnswer: 1127173464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1375087 and 260585?\nAnswer: 4009","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 28 = -0. Let p = d - 12. Solve s - 1 = k, -k = p*s + s + 5 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -494820, -494817, -494804, -494775, -494724, -494645, -494532, -494379?\n\"Answer: t**3 - t**2 - t - 494819","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -1. Let r(t) = t - 3. Suppose 5*n - 4*w + 11 = 36, -2*n + 4*w = -22. Suppose 2*f = 4*f + 14. Let a be f + (4 - (-1 + 3)). Calculate a*o(d) + n*r(d).\nAnswer: d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that -j**4\/7 + j**3\/7 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -13730, -13745, -13760, -13775?\nAnswer: -13790","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3\/6*(4 - 0). Let r = g + -7. Let z = -3 - r. Sort 0, -4, z.\nAnswer: -4, 0, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(1\/12)\/(l\/(l**(-3)\/l))*(l\/l**2)\/(l*(l*l\/l**(-3)*l*l)\/l) assuming l is positive.\nAnswer: l**(-155\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 8.1 - 7.9. Let h(b) = -b + 4. Let r be h(0). Put r, a, 0.3 in decreasing order.\nAnswer: r, 0.3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 14*a - 3. Suppose -3*t + 3*c = -7*t + 65, c + 25 = 2*t. Let v be 46\/t + 10\/(-35). What is the remainder when q(v) is divided by 20?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 20 and 100.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 284581142?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1646949278 a multiple of 7267?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f when two letters picked without replacement from {t: 4, r: 5, f: 5}?\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-56)\/(-3)*(-34174)\/24410*30\/(-49)\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1030475?\nAnswer: 5, 47, 877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = o + 6. Let w be 32\/(-20) - o\/(-10). Let c(m) = -m**2 + m. Let i(f) = -f**3 + 2*f**2 + f. Let h(l) = w*c(l) - i(l). Factor h(n).\nAnswer: n*(n - 2)*(n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*j + 2*j + 3. Let m(b) = -3*b**2 + b - 1. Let x be m(j). Which is bigger: x or -5?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (3 + 1 + -4)\/(-2). Suppose -3*s = 15, 3*s + 16 = -o - t*s. Sort 0, o, 2 in descending order.\nAnswer: 2, 0, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - (-15 - (-9 + -8 + (13 - -4))) - -11.\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -s + 4*d + 1, s + 7*d - 2*d = -17. Let o(t) = t**2 + 7*t + 34. List the prime factors of o(s).\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 75 and 7629?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*x - 240 = 2*x. Is x a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -22\/23? (a) -16 (b) 2 (c) -56\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 31\/2 of a litre in millilitres?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand o**2 - o**2 - 2*o**4 - 2*o**3 + (0*o + 0*o - 2*o**2)*(o**2 + 0*o**2 - 2*o**2) + 2*o**4 + 1 - 1.\nAnswer: 2*o**4 - 2*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1254524?\nAnswer: 2, 47, 6673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 8.2 + -6. Let o = b + -0.2. Let y be 18\/12*(-3 + (-38)\/(-14)). Is o >= y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 1 + 3 = 0, -4*s + 4*k + 28 = 0. Solve -2*n + s*n + 12 = 0 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by 37.\nAnswer: 4\/37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 181193760 divided by 1258290\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:16 AM and 12:54 PM?\nAnswer: 458","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 8650857 or 8650858?\nAnswer: 8650857","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6906, 6871, 6776, 6591, 6286, 5831, 5196?\nAnswer: 4351","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.004264891 rounded to 3 dps?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 136802429 is divided by 208?\nAnswer: 205","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.05? (a) -2\/11 (b) 0.5 (c) 1\/7 (d) 21 (e) -9.6 (f) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 724*a + 746*a - 1470*a + 2*a**3.\nAnswer: 2*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -28.61221689 rounded to 0 dps?\nAnswer: -29","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m**3 + 7*m**2 - 7*m + 3. Let n = 32 + -23. Let z = n + -3. What is q(z)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 6*x**3. Let b(t) = -t**3. Let a(d) = d**3 + 7*d**2 + 8*d + 12. Let u be a(-6). Suppose -i + 2 = j, -i + 5*j = -u*i + 4. Determine i*n(y) + 9*b(y).\nAnswer: -3*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1300359528 a multiple of 6012?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-126)\/12 - -1)\/(7\/(-19488))?\nAnswer: 2, 3, 19, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rwrwrrrrwrwrwr. What is prob of picking 1 r and 1 w?\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1010100100100100100 + 100?\nAnswer: -1010100100100100000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -250204120 (base 6) to base 2\nAnswer: -10010001101110111010000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 320.28 * 12\nAnswer: 3843.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*f + 2 - f**3 - 33*f + 180*f**2 + 8.\nAnswer: -f**3 + 180*f**2 - 33*f + 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -t + 6*t - 50. What is the least common multiple of 4 and t?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qkk when three letters picked without replacement from {k: 2, q: 3}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*f - 3*f + 5*f)*(f + 2*f - f) - 5*f**2 + 4*f**2 + 2*f**2 - 5*f**2 + f**2 + 3*f**2 to the form h*f + l + j*f**2 and give j.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:27 PM and 3:06 AM?\nAnswer: 699","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) be the third derivative of c**6\/120 + c**5\/60 - 60*c**2. Let f(j) = -j**3 - 3*j**2 + 1. Determine -2*f(k) - 6*i(k).\nAnswer: -4*k**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 72 + -69. Suppose 3*l - 54 = -j*l. Suppose -4*g = 5*x - 10, 0 - l = -g + 2*x. Sort g, 4.7, -5.\nAnswer: -5, 4.7, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 15460 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 1639145 = -23*s - 157691. What is the thousands digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.1 or -77824750?\nAnswer: -77824750","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 - (-15 - (9 - (10 + 3))) - -27?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:33 PM and 3:51 AM?\nAnswer: 558","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 112*m - 211 - 99 - 250 = 0 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -141400, -141398, -141396, -141394, -141392?\n\"Answer: 2*d - 141402","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -2613, -2622, -2643, -2682, -2745, -2838, -2967?\n\"Answer: -h**3 - 2*h - 2610","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 234154.\nAnswer: 2, 47, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1118378, -1118193, -1118010, -1117829, -1117650?\nAnswer: -1117473","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 16\/261 + 81313\/522. Let h = 156 - q. Put h, 0.07, 4 in ascending order.\nAnswer: 0.07, h, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -26*t**3 - 2*t - 2. Let f be w(-1). Suppose -f + 2 = -6*n. Suppose r = n*r - 162. What is the units digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = b**2 - b - 3. Let y be h(3). Suppose 0 = 5*f - y*c - 265, 5*c - 3*c - 190 = -4*f. Calculate the remainder when f is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -56*u + 131*u - 51*u + 306*u to a*u + v and give a.\nAnswer: 330","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.37 and -6190.\nAnswer: -2290.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -11134 - -14?\nAnswer: -11120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7578616 is divided by 1327.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kbbbbibbbkbbkkkubkuk. What is prob of picking 4 b?\nAnswer: 14\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (f**2 + f - 57 + 111 - 53)*(-3*f**2 - f**2 + 0*f**2).\nAnswer: -4*f**4 - 4*f**3 - 4*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -107, 0.3, 0.6 in decreasing order.\nAnswer: 0.6, 0.3, -107","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10 + 24 - (7 - 5)) + -56.\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d**(-1)\/d*d*d**9)**(5\/2))**(12\/13))**(2\/5) assuming d is positive.\nAnswer: d**(96\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/56*(-23)\/(506\/231)*(-372)\/6?\nAnswer: -93","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = o**2 + 8*o - 3. Let a be p(-10). Suppose 4*t = a + 15. What is the units digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-22)\/(-12)*3 + 2\/(-4)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -120 or -2\/21?\nAnswer: -120","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 4*y + 150 = 0, -4*y = -x + 2*x - 71. Let q = 81 - x. Suppose q*u = -u - 6. Let o(h) = h**3 - h**2 - 3*h - 1. Determine o(u).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 2*y**2 - 6*y - 96. Let w be d(-9). What is the units digit of ((-55)\/(-2))\/(6\/w) - -5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -s - 3. Let d be l(-6). Suppose -6*c + 2*c - 28 = -v, -39 = -3*v + 3*c. Suppose -v*x - 10 = -6*x. Sort x, 5, d in increasing order.\nAnswer: x, d, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -118675\/16 - -7417. Which is the nearest to -81? (a) h (b) 0 (c) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the second derivative of 2*z**5\/25 - 7*z**4\/30 + 2*z**3\/15 + z**2\/5 - 3*z - 4. Determine a, given that l(a) = 0.\nAnswer: -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 179 + -181. What is the closest to o in -0.4, -1\/4, -250?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eyyeyssmyysvevss. Give prob of sequence vm.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 726107163?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1881341 and 138761?\nAnswer: 3227","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Sort -0.08, -2\/3, 1\/3.\nAnswer: -2\/3, -0.08, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 419, 831, 1241, 1649?\n\"Answer: -r**2 + 415*r + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -c**3 - 12*c**2 + 14*c + 15. Let z be f(-13). Suppose -3*u + z = -4. Suppose u*b - 10 = -3*b. What are the prime factors of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 284671 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sum -29 and -173155878369.\nAnswer: -173155878398","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 155 minutes before 7:51 AM?\nAnswer: 5:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (160\/(-7 + -3))\/((-2)\/210). What are the prime factors of l + (9 - 10)\/((-1)\/2)?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-44 - -42)\/(2\/(-4))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -7*y - 3. Let k(m) be the third derivative of m**4\/24 + 7*m**2. Let a(q) = -5*k(q) - p(q). What is a(-6)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 866136?\nAnswer: 2, 3, 151, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 44100 to the nearest 10000.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 45 in 2\/11, -1\/3, 9\/16?\nAnswer: 9\/16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -399528 and 6?\nAnswer: 399534","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 132*r**2 + 10 - 269*r**2 + 136*r**2 - 17*r**4 - 3 + 183*r + 18*r**4 to the form l*r**3 + p*r + u*r**4 + i + z*r**2 and give p.\nAnswer: 183","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2 - 2. Suppose c = -r + 4*r + 3. Put r, 5, -5, 0 in descending order.\nAnswer: 5, 0, r, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 7*(-36)\/(-630) + (-4)\/(-15). Suppose -23 = -3*m - 2*m + 4*o, 3*m + o = 7. Which is the closest to m? (a) x (b) -0.5 (c) 3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - (-3)\/(-2)*(-72)\/27.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -554 - -1114. Suppose -w = 5*c - 4*w - 1402, 2*c - z = w. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7 - 128 - -4 - ((-5 - -13) + -10 - -6)\nAnswer: -121","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + -1*sqrt(153).\nAnswer: -3*sqrt(17) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 171.9307 decades in months?\nAnswer: 20631.684","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 416792 = -5*r + 4*g, 5*r - 416788 = g. List the prime factors of r.\nAnswer: 2, 3, 11, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 317 minutes before 4:03 AM?\nAnswer: 10:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11\/(275\/20)*70*-6*7\/84.\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: What is 40270.82 decades in millennia?\nAnswer: 402.7082","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -233 - -240. Let y(j) = 8*j + 3 + 6*j + 7*j - 20*j - m. Give y(0).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence st when two letters picked without replacement from {t: 4, w: 6, s: 2, i: 3, h: 3}?\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -36 - 117*j**2 + 37 - j**3 + 72*j**2 to the form f*j + a*j**3 + y*j**2 + t and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7297071?\nAnswer: 3, 2432357","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*z**3 - 2*z**3 - z**3)*(-3 + 5 - 5)*(5 + 1 + 4).\nAnswer: 30*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1589 is divided by 106.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -a**3 + 8*a**2 - 8*a - 6. Let s be f(6). Let u be -2 - (8\/4 - 8). Find the common denominator of (-3)\/u*182\/s and 101\/2.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*d + 6 + 0*d + d.\nAnswer: 4*d + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -n**2 - n - 2. Let f be -5*(-13)\/((-65)\/(-6)). Suppose i + 0*s + f = 4*s, 2*s - 12 = 5*i. Determine y(i).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 321112816 to the nearest integer?\nAnswer: 685","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5927 + 5927 + 101*c + 2*c + 0*c + 0*c + (c - c - 2*c)*(-5 + 4 + 0) + 0*c - 4*c + 3*c + 0 + 2*c + 0 + 52 + 31*c - 52.\nAnswer: 137*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 986876 is divided by 29.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 2*f + 22. Let u(c) = 2*c + 21. Let v be (-7)\/2*888\/(-518) + -4. What is v*u(r) - 3*n(r)?\nAnswer: -2*r - 24","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d*d**(3\/7)*d**(-2))\/(d**0)**(5\/8) assuming d is positive.\nAnswer: d**(3\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -117 + 39. Let c = -132 - o. Let q = 73 + c. Solve -s - s + 3*l = 21, 3*s + q = 2*l for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 248\/280 + 6\/(-10). What is the nearest to 3 in -4, 3, q?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 268540663 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*y + 4*y - y - y - y + 7*y.\nAnswer: 8*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -5.33605*-1.9\nAnswer: 10.138495","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.750124 to 0 dps.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-42 + 42 - p)*(-3 - 3 - 2*p + 3*p).\nAnswer: -p**2 + 6*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 7e44 (base 16) in base 8?\nAnswer: 77104","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 82737?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -47\/14 and 101\/24.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 2*y**3 - 3*y**2 - 39*y + 33. Determine u(5).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.221? (a) 1\/39 (b) 1 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 21 - 38. Let z = k + -17. Let g = 59 + z. Calculate the remainder when 48 is divided by g.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = a, -147 - 141 = 4*q - 2*a. Calculate the remainder when (-22)\/55 - 7\/(q\/624) is divided by 27.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 98*p - 303. Calculate h(3).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -20\/27?\nAnswer: -20\/27","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 2*l + 41. Suppose -2*o + 2 = -4*o - 4*f, -o = -5*f - 13. Let r = 3 - o. Let u be w(r). Are u and 40 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4175\/13 + 321. What is the nearest to -0.1 in 0.3, p, 2?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -g + 2*c - 6 - 11, -2*g + c = 28 for g.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -h**3 + 261*h**2 - 4149*h + 13. What is s(17)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -2 * 2427\nAnswer: -4854","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/12? (a) -0.4 (b) 1 (c) 5 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 19*f*j**2*q**2 - 47*f*j**2 + 5*f*j*q**2 + 3*f*j*q - 2*f*q + 16*f wrt j?\nAnswer: 38*f*q**2 - 94*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 2*s = -0*s - 5, -4*s - 14 = 2*v. Let f = 6 - v. Let j(z) = -z**3 - z**2 - z + 1. Let p be j(0). Put f, p, 2 in ascending order.\nAnswer: p, 2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 24*t - 35*t + 66 for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2 + 0. Let u = 26.9938 - 27. Let d = u + 16.0062. Which is the nearest to -1? (a) j (b) -3 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 2*d + 2692 = 0, b - 560 = 312*d - 317*d. Calculate the greatest common factor of 190 and b.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -88 - -24. Let w = 91 + i. What is the smallest value in 0.1, w, 1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*w**3 - 426*w**2 - 41400*w - 302400.\nAnswer: 3*(w - 210)*(w + 8)*(w + 60)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -28703 - 0.5.\nAnswer: -28703.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -53 + 10?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1258.993736 - 1259. Round r to three decimal places.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 6*q = 0. What is the nearest to q in 8, 5, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n**(-2\/19)*n)\/(n**(1\/11)\/n))\/((n\/(n*n**(1\/5)))\/n)**(-36))**(2\/33) assuming n is positive.\nAnswer: n**(-86518\/34485)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1.3702 + 1.37. What is b rounded to 3 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*i**3 + 2 - 2 + 77*i + 6*i**3 - 77*i + (-2*i**3 + 0*i**3 + 0*i**3)*(3 + 2 - 4) + 3*i**3 + 0 + 0 in the form t*i**3 + k + v*i**2 + s*i and give t.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -h. Let t(k) = -5*k + 3. Let f(r) = -2*d(r) + t(r). Let l(n) = -7*n + 6. Calculate -9*f(i) + 4*l(i).\nAnswer: -i - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 8657 to the power of 1\/2, to the nearest integer?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -21221022010 (base 3) to base 14\nAnswer: -40d0d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0\/((-2 - 0)\/(-2)). Suppose 4 = q - f*q. Suppose 2*o = -0*o + q. Which is smaller: 0 or o?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r - 32 + 78 = 16 for r.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (938\/(-315) + 3)\/((-6)\/(-27))*1.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -2*w**3 - 299*w**2 - 1722*w - 1. Give z(-6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 2, v: 1, z: 4, x: 6, n: 2, l: 2}. What is prob of sequence zl?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 7363487 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -12, 4, -109, -156.\nAnswer: -156, -109, -12, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (52699 + 196*n - 52699)*(-4 + 4 - 3*n).\nAnswer: -588*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2607.7 - -2621. What is the third biggest value in 0.2, -3, l?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*r**3 - 19 + 16*r**3 + 19.\nAnswer: 24*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -197\/7020 and -69\/220.\nAnswer: 77220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the first derivative of 2*m**5\/5 - m**4 + 79. Let t(w) = 0. Calculate w.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 890 and 29649460.\nAnswer: 890","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -161674 (base 8) to base 16\nAnswer: -e3bc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the second derivative of r**3\/6 + 4*r. Let n(q) = -2*q**2 + 2*q - 2. Let z(m) = -7*m**2 + 9*m - 9. Let b(p) = -9*n(p) + 2*z(p). What is f(b(o))?\nAnswer: 4*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the third derivative of -7*z**4\/24 + 39*z**2. Suppose 202 - 11 = a. Let p(k) = -191 + 5*k**2 + a. Calculate c(p(o)).\nAnswer: -35*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -1337*o + 6685. Let f be l(5). Solve -3*j - 30 = -5*p, f = 5*j - 9*p + 13*p + 13 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -203 + 4355106?\nAnswer: 4354603","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (14\/(-8))\/((-1)\/(4 + 2248)). Let c = 1932 + u. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3367 - 2230. What is the thousands digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aaawawwawwawaw. What is prob of picking 2 w and 2 a?\nAnswer: 63\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 20 = -3*p - 3*h, -2*p - 20 = -5*h. Solve -3*k + 3 + 17 = -4*j, 3*j + 2*k + 15 = p for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -2*w + 1. Let g be n(-1). Suppose -5*p - 4*z + 13 = 0, -z = 3*p + g*z - 3. What is the smallest common multiple of 4 and p?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7989 + 7993. What is the smallest common multiple of (-1 - -4) + 11*3 and s?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -2\/11995?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 4c5 (base 15) to base 11\nAnswer: 8a7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1467006, -1467004, -1467002?\nAnswer: -1467000","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3 + -31146?\nAnswer: -31143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (70*k - 349*k - 250*k)*(1 - 2 + 4).\nAnswer: -1587*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 49313?\nAnswer: 11, 4483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 137060 and 210?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 4248527, 4248526, 4248525, 4248524?\n\"Answer: -b + 4248528","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5403 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = k**3 - 142*k**2 - 1850*k - 21. Calculate i(-12).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = 2*d - 3 - 1, 0 = -3*d - p + 2. Solve 4*y + 16 + d = 0 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 0*y - 3*s - 48 = 0, -37 = -4*y - 5*s. What is the remainder when (3 - 2)*(4 - -34) is divided by y?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o**5 + 382*o**4 - 7582*o**3 + 44592*o**2 - 20448*o = 0.\nAnswer: 0, 1\/2, 12, 71","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 39\/112 and 25\/56.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -778 = 5*z + 2*g - 11, -2*z = 4*g + 294. Let m = -99 - z. Does 18 divide 23\/(4\/10 + m\/(-240))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*g - g - 525 = 0. Let m = g - 100. Suppose 242 = 4*r - 3*i, m*i = -5*r - 110 + 395. What is the tens digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*o + 0*o - o)*(o - o - 2*o**4) + (2 + 1 - 1)*(-o**5 - o**4 + o**4).\nAnswer: 14*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 18*g**2 - 13*g + 382. List the prime factors of q(18).\nAnswer: 2, 5, 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -0.1, -4\/5, -0.0224, -1\/2?\nAnswer: -0.0224","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 16, -2\/7, 45578, -3?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = m - 3*u, 0 = -2*m + u - 1. Let x be (-92)\/10*(m + -5 + 1). What is the greatest common divisor of x and 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 - (2 + 23) - (-320 + 357)\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -10 - 30*c**2 + 10*c - c + 31*c**2. Let h be l(-10). Suppose h = 2*r - 286 - 28. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 50996?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h*h**(-1)*h**(-4\/27)\/h*((h*h**(-6\/11)*h)\/h*h)\/h**(-6) assuming h is positive.\nAnswer: h**(1873\/297)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 924 - 925. Suppose 0 = -12*s + 9*s - 3. Which is the nearest to q? (a) -1\/3 (b) -2\/13 (c) -0.2 (d) s\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, -194, 0.5501 in descending order.\nAnswer: 6, 0.5501, -194","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n = -5*a - 5, -n - 6 = -4*a - 5 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-17 - 5 - -67) + (-1 + 0 - 10)\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 26733494 a multiple of 722?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 + 5579.\nAnswer: 5574","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -83 - -87. Solve 0 = 3*j - 2*j + z for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 1, -1\/3, 0.08, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 209 and 38?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20 + 17 + g - 37.\nAnswer: g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 21470491 to the power of 1\/2, to the nearest integer?\nAnswer: 4634","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 971517 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: Calculate the remainder when 44251 is divided by 44202.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0, 6627, -28, 1\/2, -4, -5, -0.1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -125335*c**2 - 125247*c**2 + 250581*c**2.\nAnswer: -c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -238540 (base 10) in base 6?\nAnswer: -5040204","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/5 of a century in months?\nAnswer: 6960","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.333 + -17.633. Let t = i - -17.29999929. What is t rounded to six dps?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 5*v**3 + 4*v**2 - 71*v - 22. Let y(q) = -4*q**3 - 3*q**2 + 53*q + 21. Determine -6*f(d) - 8*y(d).\nAnswer: 2*d**3 + 2*d - 36","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 75 = 19*y + 18 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 845 and 956371?\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -273 or -274?\nAnswer: -273","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2913212?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 220 + 76 = v, 79 = n - v. What is the units digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*j + 6*j = -12. Let n(a) be the second derivative of j*a + 0*a**3 - 3\/2*a**2 - 1\/4*a**4 + 0. What is the first derivative of n(m) wrt m?\nAnswer: -6*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -x - 3*b + 183, 2*x = 2*b + 3*b + 377. Suppose -2*f + 4*a + 124 = 0, 0*a + 4*a = -3*f + x. Let t = f - 25. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 14) to base 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c, 1 d, and 1 q when three letters picked without replacement from qcqqdqcqdccd?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 921*d + 9. Let a be u(-8). Let b = a + 12643. Suppose -b = j + 4*p, p - 4 = -0*p. Round j to the nearest 1000.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -52*t**2 - 573*t - 17. Determine q(-11).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1\/(-3) - (-3990)\/(-72). Let w = x + 56. Factor 0*r + 1\/4*r**3 + 0 - w*r**2.\nAnswer: r**2*(r - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = -2*k + 21. Suppose 2*f - 10 = -5*h, 3*h + 5*f = -0*f + 6. Suppose h*q = k*q - 30. List the prime factors of q.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -290, -1.87, 1\/65, -0.3?\nAnswer: 1\/65","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/5, 19, 36, -2\/23 in descending order.\nAnswer: 36, 19, -2\/23, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.03853 to 3 decimal places.\nAnswer: -0.039","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -g**2 + 10*g - 2. What is the remainder when r(8) is divided by 10?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -4*q + 30. Let y be d(6). Suppose -y*m + 3*m = -144. What are the prime factors of m?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 8*w**2 - 8*w**2 - w + 6*w + 15*w**2 wrt w.\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -m**3 + 8*m**2 + 14*m - 3. Let d be p(10). Let s be d\/(-12) - (-18)\/24. Is (908\/6)\/(4\/s) a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -18167, -18151, -18109, -18029, -17899?\nAnswer: -17707","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 63695 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -3*d + 2*g, 2*d - 22*g - 6 = -20*g. Suppose d = -8*s + 12*s - 144. What is the remainder when 135 is divided by s?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3554.932694644 + -3554.93. Let l = -38.002671644 + d. Let w = l - -38. Round w to five decimal places.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -12*z - 25*z + 19 - 93 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 2011286?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9495 + 4746 + 4749 - 38*i**2 + 39*i**2.\nAnswer: i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 79 = -119. Does 17 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10110100011110000110 (base 2) to base 13.\nAnswer: -1cb600","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sj when two letters picked without replacement from jjsksjmjkjmm.\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-13 + 13)\/((-1)\/(-1)). Let k be (0 - o)*6\/6. Solve 5*a - 2 = 3*i, k*i = 2*i - 5*a - 2 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1177 divide 103002801?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the third derivative of f**6\/120 + f**5\/5 - 7*f**4\/12 + 6*f**2. What is the units digit of j(-13)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4634 = 13*c + 4673 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -197106*m**3 - 1976*m**2 + 1976*m - 1976. Let v(s) = 499*s**3 + 5*s**2 - 5*s + 5. Calculate 5*b(z) + 1976*v(z).\nAnswer: 494*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -14*b + 5. Let t(m) = 14*m - 5. Let k(c) = -4*j(c) - 3*t(c). Suppose 0 = g + 3*y - 7 - 6, 5*g - 3*y = 11. What is the tens digit of k(g)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8*-0.3.\nAnswer: 2.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10001111111101010011 (base 2) to base 10.\nAnswer: 589651","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 541, 771, 1001, 1231, 1461, 1691?\nAnswer: 1921","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*t**2 + 19006*t + 3*t**2 - 4*t**2 + 2 - 9502*t - 9504*t.\nAnswer: t**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -42475*w + 637091. What is r(15)?\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -21*y**3 - 3*y**2. Let q(u) = -21*u**3 - 2*u**2. Calculate 4*d(t) - 5*q(t).\nAnswer: 21*t**3 - 2*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4, -4, 0, 138, -29, 1\/4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0142257 to 3 dps.\nAnswer: 0.014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/3, -1, 3\/11, 3 in decreasing order.\nAnswer: 3, 3\/11, -2\/3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - l = -6*y + 149, y = -5*l + 71. What is the third derivative of y - 2*b**2 + 3*b**3 - 51 + 0*b**2 wrt b?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1.8 and -0.89?\nAnswer: 1.602","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 0*y**2 + 2*y + y**2 - 5 - 3*y. Let i be ((-32)\/(-28))\/(-6 + 396\/63). Give w(i).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1036 and 112?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -405 at most as big as -427?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 166 (b) -136 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 244712714 rounded to the nearest one million?\nAnswer: 245000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*n = 5856*k - 5963*k + 323, 0 = -4*k + 2*n - 14 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in one fifth of a kilometer?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.67, 0.2, 2\/9, -3, -1\/4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 21 + 7 = 0. Let t be 33\/q + 2\/7. Let d = -0.436042 + 0.336042. Which is the third biggest value? (a) t (b) 2 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.582638 micrometers in nanometers?\nAnswer: 6582.638","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -30924, -61912, -92908, -123912, -154924, -185944?\nAnswer: -216972","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1455 + 1453. Sort a, -5, -25.3 in increasing order.\nAnswer: -25.3, -5, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + (-1 - 3) + -2.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-2\/25))**9\/(h**(-8))**26)**(1\/10) assuming h is positive.\nAnswer: h**(2591\/125)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 52566 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7769?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o - 13 = -7*i + 5*i, 2*i - 19 = -5*o for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 159\/((-7632)\/(-2496))*18\/(-24)\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 113\/12 and 17\/12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-2)*g)**(-32)\/((g*g**4)\/g**1) assuming g is positive.\nAnswer: g**28","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d - 3*o - 13 = -8*o, -2*o + 9956 = 2*d + 9990 for d.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 312349 + -92142793\/295. Let x = 3\/59 + k. Let w = -0.3 + 0.7. Which is the closest to -1\/3? (a) x (b) -0.3 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -21176, -84475, -189970, -337661, -527548, -759631?\n\"Answer: -21098*b**2 - 5*b - 73","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 11 + 13. Let p(o) = 14*o**2 - 3*o - 2. What is the remainder when r is divided by p(1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*c + 86 = 2. Solve c = 4*o - 13 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 42184028?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*n - 15*n - 329 - 56 = 0 for n.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -198*s = 598*s + 2779 + 9161 for s.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 146, 444, 828, 1292, 1830?\nAnswer: 2436","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0 - 4\/6 - -1 - (-6715)\/510. Let p(c) be the first derivative of 9*c**3 + w*c**2 + 1\/5*c**5 + 0*c - 2 + 9\/4*c**4. Solve p(y) = 0 for y.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (18\/(-7))\/((-93)\/4557). Solve -8*p = -26*p - b for p.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 16\/11 (b) -3\/2 (c) 0.12 (d) -279.7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = 5*k + 5, k - 5*w = -5 - 19. Let o = k + 1. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (835\/10855)\/(1\/39)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-31)\/((-22165)\/(-52)))\/((-2)\/(-5)).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h + 5*b = -3*h + 18, -3*b + 13 = 2*h. Suppose 2*d + 2*c + 17 = 5*c, -5*d - h = 3*c. Let j = d + 6. Is 2 less than or equal to j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4\/5 in -5, 307, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 296902.\nAnswer: 2, 29, 5119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 172 and 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2\/12421113 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = u**2 + u + 1. Let q(i) = -i - 1. What is 3*q(f) + 2*s(f)?\nAnswer: 2*f**2 - f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -46335828, -92671659, -139007490, -185343321, -231679152?\n\"Answer: -46335831*b + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-6)\/12 + (-5)\/(-2). Let n(f) = 0*f**3 - 4*f**3 - 2*f**3 - 4 + 3*f + 5*f**3 + 6*f**z. List the prime factors of n(6).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -13.1 - -13. Let i = 5 + -10. Let m = -5\/22 + -1\/44. Which is the third biggest value? (a) i (b) d (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1395 + 1391. What is the third smallest value in 1\/3, -57, x?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = -2*l - 6445, 3*q - 4*l + 1667 = -2226. Let a = -887 - q. Suppose 5*r = 9*r - a. What are the prime factors of r?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2053, 4, 1 in decreasing order.\nAnswer: 2053, 4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*t = 28*t - 12, -18 = 2*d - 4*t - 34 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:11 AM and 8:36 AM?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fi when two letters picked without replacement from {h: 3, p: 3, f: 1, i: 2, s: 1}.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 11*r**3 - 3*r**2 + 7*r + 1. Let x(n) = -10*n**3 + 3*n**2 - 7*n. Let z(j) = -5*m(j) - 6*x(j). Is z(6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + -21 + (15 - (-7 + 0 + 13 + 8)).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*u - 2*a + 8, 5*u + a + 11 = -3*a. Let t(k) = 9*k + 21. Let z be t(u). Let b(g) = -g**2 - 7*g - 3. Calculate b(z).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4.6 - 4. Let a = m + -0.9. Let h be (-21)\/(-45) + (-2)\/(-10). What is the closest to a in 3, h, 2?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -n + 5*y - 15, 8*n + 5*y = 10*n + 15. Suppose 5*t = 2*u - 14444, n = 3*u - 0*u - 3*t - 21657. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*g - 24 + 34 = 0 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - p + 8 + 7 = 0, 23 = 3*z + 2*p. Suppose -z*b + 168 = -5*b. Suppose c + 2*q = 5*q + 108, -3*q = c - b. Does 8 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 448*o**4*r**3 + 120*o**4*r**2 - 1215*o**2*r**3 - r**3 + 91*r wrt o?\nAnswer: 10752*o*r**3 + 2880*o*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1389 and 503550.\nAnswer: 233143650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*z**3 + 10*z**2 - 8*z**2 - z**3)*(3 - 1 - 1)*(37 + 3*z - 37).\nAnswer: -9*z**4 + 6*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -6 (b) 88 (c) -4\/4297\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3250 (b) 720.1 (c) 3 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from csxxh. Give prob of sequence ch.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = -3*g + 368 + 124, 0 = -2*n - 8. Suppose 0 = -9*l + 75 + g. Suppose -z + 13 = -14. Calculate the greatest common factor of z and l.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = 3*b + 6, 2*b + 5 - 1 = 4*l. Let q be b - 0 - (4 - (4 - 1)). Put -2, 0, -5, q in ascending order.\nAnswer: -5, q, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i**3 + 74*i**2 - 884*i + 2642. What is n(60)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -1*4\/(-10) - 22\/30. Let d be 2\/(-8) - (-17)\/4. Put 1, d, h in decreasing order.\nAnswer: d, 1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(136) - sqrt(136))*2 - sqrt(136) - ((sqrt(136)*2 + sqrt(136))*-5 + sqrt(136)))\/((sqrt(16) - (-2*sqrt(2304) - sqrt(2304)))\/(sqrt(32)\/sqrt(4))).\nAnswer: 26*sqrt(17)\/37","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8280240 is divided by 83.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that -5*j**5\/6 - 503*j**4\/3 - 36415*j**3\/6 + 35231*j**2\/3 + 9794*j - 15300 = 0.\nAnswer: -153, -50, -6\/5, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (12597\/(-3978))\/((-2)\/(-12))?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -13275, -10480, -5815, 726, 9149, 19460, 31665?\n\"Answer: d**3 + 929*d**2 + d - 14206","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v**3 - v**2 + v + 1. Let x(z) = 12*z**3 - 16*z**2 + 20*z + 16. Give -16*q(h) + x(h).\nAnswer: -4*h**3 + 4*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -157\/264 and -103\/120.\nAnswer: 1320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 217113 and 1399749.\nAnswer: 741","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -6468, -4874, -3280, -1686?\n\"Answer: 1594*i - 8062","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -17 - -48. Suppose 5*m - 19 = -3*o + 6, -3*m - 5*o + g = 0. Let y(j) = -14*j + 12*j - m + 0*j**2 + j**2. Let i(u) = -u**2 + 1. Calculate -2*i(b) - y(b).\nAnswer: b**2 + 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -97*x**3 + 93*x**4 - x - 168*x**4 + 59*x**4 in the form y*x**4 + p*x**3 + s + c*x**2 + m*x and give p.\nAnswer: -97","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 7\/(1 + -2)*1. What is the remainder when 5 is divided by (-4 - j) + -1 + 1?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = 1829 + 1446. Suppose -h - d = -5*s - 4999, -5*h + 21746 = s. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-7 - 8 - -12) + -8 + 10 + -3\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 70445248?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a + 60 = 0, 0 = -2*b + 15*a - 20*a + 146 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 24*m**3 - 4*m**2 - 4. Let l(b) = 192*b**3 - 33*b**2 - 33. Determine 33*a(g) - 4*l(g).\nAnswer: 24*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*d - 55 = d + 5*d - 4*f - 1, -f + 6 = -0*f for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 10) in base 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 101100010010010000110 (base 2) to base 15\nAnswer: 1d9e7c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = q - g - 3*g, -q = -5*g + 5. Suppose -5*f + 5*h = -5845, 3*h + 5847 = q*f - h. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12997.\nAnswer: 41, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 126713 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 3*o = -5, 4*r - o - 15 = 0. Suppose r*q - 2 = 8. Let h be (-964 - -965)*(-1)\/(-1). Is q less than or equal to h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*i - 3930 + 21495. Is (i\/(-15) + 0)*-3 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c - 5*c = -105. Let a = c - 16. Suppose 6*r = -35 + a. Sort r, -2\/3, 2 in decreasing order.\nAnswer: 2, -2\/3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 2*t - 9. Let s(o) be the second derivative of -o**4\/12 + 7*o**3\/6 + o**2\/2 - 3*o. Let q be s(6). What is b(q)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 142?\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -3*o**2 - 3*o + 6. Let a be m(0). Let f be (-28)\/(-16) + 1\/4. Calculate the greatest common divisor of a and f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -23 + 21.1. Let p = y - -1.81. Let j = p + 4.09. Sort -4, 2\/5, j in descending order.\nAnswer: j, 2\/5, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the second derivative of b**5\/300 - b**4\/60 - 2*b**2 + 2*b. Let j(v) be the first derivative of n(v). Let j(k) = 0. What is k?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(-1\/12)\/((h*h*h**(-5)*h*h*h*h)\/h)*h**(-1\/5)\/(h\/h**(-4)) assuming h is positive.\nAnswer: h**(-317\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-h**3 + h - h)*(-3 - 1 + 3) + (h - 5 + 5)*(-15*h**2 + 0*h**2 - 7*h**2).\nAnswer: -21*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5623?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a meter in millimeters?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-180)\/(-48)*4\/3. Let o = b + -14\/3. Factor -o*n**2 + 0 + 0*n - 2\/3*n**3.\nAnswer: -n**2*(2*n + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*-3*sqrt(88) + ((sqrt(88) - sqrt(88)*3)*2 - sqrt(88)))\/(sqrt(200)*-1 - (sqrt(8) + (2*sqrt(72) - sqrt(72))\/sqrt(9))) + 3.\nAnswer: -4*sqrt(11)\/7 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1 - -220213333220?\nAnswer: 220213333221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*z - 8959 = -7*z - 9499 for z.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 431636 is divided by 264.\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sum -262064 and 6.42.\nAnswer: -262057.58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 173\/60 and 79\/522?\nAnswer: 5220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let -12800*i**3\/19 - 50240*i**2\/19 - 49298*i\/19 = 0. Calculate i.\nAnswer: -157\/80, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -1890173 divided by 5?\nAnswer: -1890173\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + 10 - (-3 - -8).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 8, -921\/4, -334, 11\/5?\nAnswer: -921\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -x**2 - 7*x + 9. What is s(-7)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14 = 810*u - 813*u - k, 4*k - 29 = 5*u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 6*u**2 - 7. Let t(w) = -1. Let l(c) = -42*t(c) + 6*v(c). Let d(q) = 5*q**2. What is d(l(n))?\nAnswer: 6480*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*w = 13*w + 34. Calculate the remainder when ((-6)\/(-12))\/(1\/166) is divided by w.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-74)\/777*(-7)\/(-3)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*m**4 + 13941672*m**3 + 12148124693044*m**2 - 24296291211120*m + 12148152576400.\nAnswer: 4*(m - 1)**2*(m + 1742710)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = v - 0. Let n(y) = v*y**2 + 0*y**2 - 2*y**2 - 1. List the prime factors of n(2).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -711 by 7031.\nAnswer: -9\/89","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -6*w**3 + 5*w**2 + 7*w - 5. Let o = -6 - -8. Let z(t) be the first derivative of -1\/3*t**3 + 2 + t - 1\/2*t**o + 1\/4*t**4. Give y(v) + 5*z(v).\nAnswer: -v**3 + 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -11, -27, -45, -65?\n\"Answer: -f**2 - 13*f + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 7205229 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 470 minutes before 1:50 AM?\nAnswer: 6:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -360533, -360452, -360371, -360290?\nAnswer: -360209","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 362, 1, 25, -2, -5 in increasing order.\nAnswer: -5, -2, 1, 25, 362","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 12*l**4*u**2 + 102*l**4*u + 667*l**2*u + 3*l*u + 4*u**2 wrt l.\nAnswer: 288*l*u**2 + 2448*l*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 100 = 224. Suppose 4*f = 95 + z. Is 11 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/a**15*(a**13\/a*a)\/a)\/(a\/a**6)**(-6) assuming a is positive.\nAnswer: a**(-32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kklykmkmmmm. Give prob of sequence mmlk.\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 26 and 12077.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 640 divide 2356020?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 218 - 214. Solve 2*y - 6 - 1 = -d, -y + w*d = 10 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the third derivative of v**5\/20 - 9*v**2. Let d(b) = b**2. Give u(d(q)).\nAnswer: 3*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the first derivative of 0*a**4 - 1\/2*a**2 + 1 + 0*a - 2\/5*a**5 + 0*a**3. What is the second derivative of q(w) wrt w?\nAnswer: -24*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 27642.89 milligrams?\nAnswer: 0.00002764289","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 44\/(-2178) + (-83524)\/(-223839)?\nAnswer: 6\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21*1566\/189*3\/(-18).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3780?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1157519?\nAnswer: 11, 105229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: ((-20)\/(-15))\/((-16)\/72)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = i - 5*x + 4958 - 5080, -19 = -2*i + x for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*u + 21*u = -15 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by 2469075.\nAnswer: 1\/493815","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 5*c + i, 6*c + 5*i = 3*c - 14. Solve -5*j = -0*o - c*o + 1, 5*o = -5*j + 20 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10497211 rounded to the nearest one million?\nAnswer: 10000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a**2\/11 - 3554292*a\/11 + 71085040\/11 = 0. What is a?\nAnswer: 20, 1777126","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.47081 millennia to decades.\nAnswer: 347.081","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve h - 18*w = -10*w - 51, -h + 17*w = 16*w + 2 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 22446*n**4 - 2*n**3 + 9*n**2 + n - 50 wrt n?\nAnswer: 538704*n - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 72792b (base 12) in base 15?\nAnswer: 257568","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 3, -4, 12559, -106 in ascending order.\nAnswer: -106, -4, 3, 4, 12559","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the first derivative of -3*m**2\/2 + 2*m - 11. Calculate l(6).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -307411\/9 + 33928. Suppose 232 = r + m, -2*m - 910 = -2*r - 2*r. Let n = l + r. Is n greater than or equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -148, -356, -298, 92, 880, 2132?\nAnswer: 3914","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + (-12 - -20 - 0).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -7*t**2 - 54*t. Let b(q) be the third derivative of -q**5\/15 - 9*q**4\/8 + 6*q**2. Let c(a) = -5*b(a) + 3*u(a). Let x(l) = 2*l. Calculate x(c(d)).\nAnswer: -2*d**2 - 54*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 13) to base 10.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 47299166 to the power of 1\/2, to the nearest integer?\nAnswer: 6877","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 3*s**2 - 57*s - 52. Let a be f(20). Let t(p) = p + 195 - 383 + 172. Determine t(a).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 87, 135, 183, 231, 279, 327?\nAnswer: 375","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1.3, -1\/16, -5, 3\/2, 0.13 in ascending order.\nAnswer: -5, -1.3, -1\/16, 0.13, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -17 times 0.09669577\nAnswer: -1.64382809","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7690*l**2 - 47722*l**2 - 7550*l**2.\nAnswer: -47582*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4 + -4 + -1 - (-2)\/(-2). Let z = b + 7. Suppose z*p = 2*p + 27. What is the third smallest value in p, -5, 2\/3, 0.1?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -62318270 divided by 12463654.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 51 - 49 = 0. Let d be 192 + 0*(0 + 1). Suppose -d = u*r - 814. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 2*o**2 + 13*o + 13. Let z(i) = -i**2 - 6*i - 6. Let t(q) = 6*g(q) + 13*z(q). Let l(u) = -5*u**2. Give t(l(n)).\nAnswer: -25*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/18*-3 - 2\/(-6).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 535685369 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 74 is divided by 9.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 6684662 to the power of 1\/6, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1860302508?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 79\/317820 and -73\/300.\nAnswer: 1589100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(468) - ((sqrt(468) - (sqrt(468) + 2)) + sqrt(468)))*-4*3)**2.\nAnswer: 576","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 = -67*b + 59*b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -655, -1309, -1963, -2617, -3271, -3925?\n\"Answer: -654*v - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 600 divided by -10.\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 260573?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -3611105, -3611102, -3611099, -3611096?\n\"Answer: 3*l - 3611108","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 618, 1220, 1818, 2412, 3002?\nAnswer: 3588","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve s - 2 = -0, -2*z + 10*s - 13*s = s - 14 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 1052203 (base 7) to base 6\nAnswer: 2443521","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gugaguguguguuagggugg. What is prob of sequence ug?\nAnswer: 77\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 132538 and 28.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4052928, 4052987, 4053046, 4053105?\nAnswer: 4053164","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 1, 2\/5, -1\/5, -4.7, 147?\nAnswer: -4.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-52)\/(-546) + 1546\/84 + (-3)\/(-6).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((sqrt(1216)*-1)**2 + 6*(sqrt(19) - (sqrt(19) + 3)))*2 + 1.\nAnswer: -11979","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 2562?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 117 is divided by 33.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 22526146189 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the first derivative of -f**6\/180 - f**5\/40 + f**4\/12 - f**3\/3 + 23*f**2\/2 + 57. Let x(y) be the third derivative of z(y). Calculate x(-3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.3612 take away 680.35284?\nAnswer: -681.71404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = 3*h + v, 2*v + 3*v = -h - 3. Let b = h - -6. What is the second derivative of -2*o - b*o**5 - o**5 + 4*o wrt o?\nAnswer: -80*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -0.4, 1\/3, 0.3, -0.3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is c (base 15) in base 6?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -4*s**3 - s**2 - s + 1. Let u be a(-2). Let i = u + -29. Suppose 0 = i*n - 115 - 107. Calculate the remainder when n is divided by 28.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 55.53 <= -17186?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 12 - 23. Let g = 0 + k. Let s = -7 - g. Solve 0 = -4*u - 3*w + 4*w - 21, -s*u - 6 = 2*w for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*p**3 - 1652*p**2 + 6584*p - 6576.\nAnswer: 2*(p - 822)*(p - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 225 (base 11) to base 9\nAnswer: 328","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t - 2*s = -t + 31, 5*t - 2*s - 131 = 0. Suppose 16*j - t*j + 270 = 0. What is the smallest common multiple of j and 18?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) be the third derivative of h**8\/84 + 4*h**7\/105 - h**5\/10 + 3*h**3\/2 + 283*h**2. What is the third derivative of g(j) wrt j?\nAnswer: 240*j**2 + 192*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1074599, -1074700, -1074861, -1075076, -1075339, -1075644, -1075985?\nAnswer: -1076356","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-14 - (-11 + 8)) + 31 - (191 - 45).\nAnswer: -126","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 231852823, 463705645, 695558467?\nAnswer: 927411289","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 40*g - 2 + 242*g + 3.\nAnswer: 282*g + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -78808 divided by 9851?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -122*p - 482. Calculate l(-4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5228*b = 4888*b + 35700 for b.\nAnswer: 105","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1229302 is divided by 614625.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -317*r - 2724 = -321*r. Suppose r*x - 1650 = 675*x. Is x a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 2399\/68?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 5*r + 7. Let j be q(5). Find the third derivative of -2*z**2 + 32 - 2*z**3 - j wrt z.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -28*(10\/2 + 0). Let c(r) = 18*r + 5. Let d be c(-5). Let k = d - a. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2165697, -2165703, -2165711, -2165721, -2165733, -2165747, -2165763?\nAnswer: -2165781","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -1383, -5, 28 in descending order.\nAnswer: 28, -5, -1383","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -c**3 - 2*c**3 - 14 - 10*c**3 + 4 wrt c.\nAnswer: -39*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-nine fifths of a decade in years?\nAnswer: 98","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (48\/(-8) - -7)\/((120\/320)\/((-198)\/8)).\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = -3*i - 2*i - 4*l, 4*i = -4*l + 28. Let h(z) = -z - 2. Let m(g) = 2*g - g - 2*g - 1. Let u(r) = i*m(r) - 2*h(r). Let x(c) = 3*c. Calculate x(u(d)).\nAnswer: -6*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -887 - -61204\/69. Is s <= -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -3*f + 15. Let a be n(7). Let t(p) = -p**3 - 6*p**2. Let b be t(a). Let q(w) = -w**3 - w**2 + 6. Give q(b).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, i: 1, k: 3, e: 1, w: 1}. What is prob of sequence we?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 150084 divided by 6822\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 48132 and 16476012?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -2*a**2. Let k(l) = -19*l**2 + 25854*l - 6*l**2 - 25854*l. Determine k(w(r)).\nAnswer: -100*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 13 = 5*v, -v + 3*p - 5 = -0*p. Let t be (-6)\/2 - (-7 + 5) - v. Let x = -63892\/981 - -586\/9. Are x and t nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 2*k**2 - 2*k + 2. Let o(g) = g - 1. Let r(z) = -2*o(z) - v(z). Let i(a) be the third derivative of -a**4\/24 - a**2. What is i(r(j))?\nAnswer: 2*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-23712)\/304*(-9)\/((-972)\/(-90)).\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5895, -6, -407, 3 in ascending order.\nAnswer: -407, -6, 3, 5895","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = g**3 + g**2. Let n(h) = 4*h**3 + 4*h**2 - 1. Calculate -n(j) + w(j).\nAnswer: -3*j**3 - 3*j**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 31344543 + 25?\nAnswer: 31345012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 52*s**2 + 182*s + 623. Give t(-3).\nAnswer: 545","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*j + 42*j - 3600 = -68*j. Let y(f) = -3*f**3 + f**2 + 4*f + 6. Calculate the remainder when y(-4) is divided by j.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1742, -7958, -18334, -32876, -51590, -74482, -101558, -132824?\nAnswer: -168286","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -11 - -9. Suppose -3*a - 60 = -3*p, -5*p = 4*a - 5*a - 92. What is the least common multiple of (-1)\/k - (-156)\/8 and p?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5116618 a multiple of 166?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -63*l + 90*l - 30132. Is 42 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 754347?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*r + 2*r + 45. Solve 3*y = 8*y + r for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 5, -4.\nAnswer: -4, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1196*r + 1186*r = -1260. What is the remainder when r is divided by 13?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) 4 (b) 0.4 (c) -2\/167\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -5273*i + 1953. Let x(z) = -10497*z + 3908. Let r(b) = -9*j(b) + 4*x(b). What is the first derivative of r(w) wrt w?\nAnswer: 5469","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4)\/(-22) + 1166265\/297. Calculate the highest common factor of 119 and f.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -132*w - 241. Let u be y(-2). Solve -24 = -u*o + 15*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the third derivative of 5*a**4\/12 - a**3\/6 + 368*a**2 + 3. Let s(q) = -10*q + 1. What is 4*k(v) + 5*s(v)?\nAnswer: -10*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v**3 + 10*v**2 - 9*v - 5. Determine c(9).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -96943, -387771, -872425, -1550857, -2423019, -3488863, -4748341?\nAnswer: -6201405","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 73 - 71. Solve -3*w - c*w = -5 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -194*a + 154*a + 2000. Suppose -5*d - 4*m + 851 = 126, -3*m = -2*d + 313. What is the remainder when d is divided by a?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -40 + 97. What is the highest common factor of j and 513?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = 40 - 295. Let n = 8 + -3. Suppose n*b - o - 29 = 0. What is the units digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14e3 (base 16) in base 12?\nAnswer: 3117","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1 + ((-286)\/(-58) - 3) + 12\/174\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -17232 - -17498. Calculate the greatest common divisor of o and 45486.\nAnswer: 266","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a century in decades?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 38, 112, 234, 404, 622, 888?\nAnswer: 1202","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6832 = 4*c + 8*d, -5*c + 7562 = 2*d - 962. Calculate the greatest common factor of c and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 58 + (-60 - -27) + -169 + 11 + 0.\nAnswer: -133","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 159c (base 13) in base 4?\nAnswer: 301203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are 296 and 446 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6736 - 8*f**2 + 6818 - 13404.\nAnswer: -8*f**2 + 150","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u. Let z(d) = -3*d**2 + d. Let n(x) be the third derivative of -x**4\/24 + 3*x**2. Let y(j) = 3*n(j) + 3*z(j). Determine y(r(k)).\nAnswer: -9*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 20\/9 - (-4)\/(-18). Let a(x) = -6*x**2 - 4*x - 2. Let o be a(-2). Let d be (-4)\/h - (o - 2). What is d rounded to the nearest 10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*i - 3*i - 29 - 3*i - 7*i - i to r + u*i and give r.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence twyt when four letters picked without replacement from {t: 3, y: 5, w: 1}.\nAnswer: 5\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1263689?\nAnswer: 7, 23, 47, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = -0*s + 28. Suppose s*a - 212 = 3*a. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 86 - 74. Suppose -b = 13*v - 246. Solve 4*y + 2 = v for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -i**2 - i - 1. Let j(x) = -4*x - 13. Let w = 8357 - 8353. Give w*s(v) - j(v).\nAnswer: -4*v**2 + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1435491.\nAnswer: 3, 159499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -941 + -7.83\nAnswer: -948.83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2141370 is divided by 426.\nAnswer: 294","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -93447, -93450, -93453, -93456, -93459?\nAnswer: -93462","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 10178 + z - 10178. Suppose 6 = 2*y + 2. Let p(f) = 3*f**2 - 7*f**2 + 0*f**y. Calculate v(p(s)).\nAnswer: -4*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 22 + -20. Let b = -2.6 - -3. Which is bigger: u or b?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -95 + 53. Let f be 2*-266005*s\/4. Let a = f + -3186105. What is a rounded to the nearest one million?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6897 at least -0.8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = 5*c - 3*c - 6. Sort 0, -17, c, 1, -4 in increasing order.\nAnswer: -17, -4, c, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-25 - (-27 - -10)) + 0?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 26922*v - 942405. What is c(35)?\nAnswer: -135","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1144568*a**2 + 23253331*a wrt a?\nAnswer: 2289136","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -83 + 80. Let s be (-231)\/14*8\/l. Calculate the greatest common divisor of 176 and s.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 2186, 3243, 4300, 5357?\n\"Answer: 1057*p + 1129","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 10*w**3 - 4*w**2 + w + 3. Let g(i) be the third derivative of -i**6\/40 + i**5\/30 - i**3\/6 - 169*i**2. Let n(f) = -7*g(f) - 2*j(f). Give n(7).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 37*a - 24*a - 32*a.\nAnswer: -19*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -10790936 divided by -5\nAnswer: 10790936\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.06 in -0.14, -247\/6, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) be the first derivative of 2*f**2 - 9*f - 24. Let l be c(0). Is (1761\/l)\/(7\/(-21)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (64\/(-32))\/(3\/(-42)*7)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000060958 to six dps.\nAnswer: -0.000061","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = g**2 + 6*g - 52. What is the remainder when i(7) is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 838, 3320, 5806, 8296?\n\"Answer: 2*y**2 + 2476*y - 1640","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 2*z**2 - 13*z - 22. Let s be w(11). Let a be (-22)\/s + (-122)\/14. Let j = a - -7. Let n(h) = h**3 - 2*h**2 - 2*h. Calculate n(j).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 134620 to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8155 is divided by 343?\nAnswer: 266","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, -65, -5 in decreasing order.\nAnswer: -5, -6, -65","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20200 is divided by 2522.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 3810248644 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (5 - 0)*3029\/1165 + 2\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20488081 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*m + 2*m + 0*m - 2*m - 3*m + 3*m + m + 0*m - 3*m + (-m + 2*m - 2*m)*(2 - 2 - 1) - 5*m + 0*m - 2*m.\nAnswer: -12*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -6768 or -6773?\nAnswer: -6768","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -v**3 - 3*v**2 - 5*v - 4. Suppose 16*x - 5*x = 44. Suppose x*h - 14 = -8*d + 10*d, -5*h = -4*d - 22. Determine z(d).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 39.3 + -46.06. Let i = 0.24 - s. Sort 0.4, -0.2, i in descending order.\nAnswer: i, 0.4, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2748 and 516.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 667 and 17526?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25 = -5*y + j, 0*y + 2*y - 3*j = -23 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 187272 divided by -27.\nAnswer: -6936","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.00504 to the nearest integer.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 9 - 4. Let g = 8 - l. Let p be 8 + -9 + 7 + 4 + (-9 - -2). What is the closest to p in g, 5, -3?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3185 - -5999. What is the remainder when n is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-26)\/130 - 14*(-1)\/(-30).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -8 + 0 - 11*n + 7*n. Let t(a) = a. Let b(x) = -d(x) - 5*t(x). What is b(0)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -43*s - 4885. Let r be p(-92). Is -929 bigger than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -33*w - 1. Give z(-1).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4)\/(-6)*((-586)\/4 + 1). Let l = 23 - j. Suppose 200 = 4*i - 4*a, -a - 74 = -4*i + l. What is the units digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = j + 2. Let c(a) = 4*a + 12. Let o(k) = c(k) - 5*p(k). Let t be o(-2). Solve 16 = -t*r + 4 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 23*p**3*z + 19*p**3 + p**2*z - 2*p**2 - 479943*p*z + 2*z wrt p.\nAnswer: 138*p*z + 114*p + 2*z - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the first derivative of -y**2 + 196. Let i(s) = -6*s. Calculate i(r(c)).\nAnswer: 12*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v**24)\/v)**44 assuming v is positive.\nAnswer: v**1056","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37 + 25 = 4*m. Let r = -0.4 - 0.4. Let j = 0.4 + r. Sort j, m, -1.\nAnswer: m, -1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1349089?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 697.2279 centimeters to nanometers.\nAnswer: 6972279000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 906.209 - 906. Which is smaller: -3 or c?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -5*q**2 + 114*q + 52. What is o(21)?\nAnswer: 241","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -51, -1, 12\/7, 63, 3 in ascending order.\nAnswer: -51, -4, -1, 12\/7, 3, 63","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nvmmnvvvvnmnn. Give prob of picking 2 m.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*b - 0*k - 2*k + 150, -k + 101 = 2*b. Let a = b - 42. Suppose a = 2*z - 8. Solve -2*j - v - 5 = 0, 0 = -4*j + 5*v - 36 - z for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2039958 divided by 2?\nAnswer: -1019979","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (88\/66)\/((-2)\/3) - -5. Let m = -166 + 169. Solve f*h = t - 12, 6 = m*t - h + 2*h for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 62500 and 15000?\nAnswer: 375000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i + g + 3 = -3*g, 0 = 2*i - 5*g + 5 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -2*j - 15. Calculate i(-12).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = r**3 - 7*r**2 + 3*r - 2. Let d be (1 - -2)\/(-5 + 6). Let f(y) = -y**3 + 8*y**2 - 4*y + 2. Let b(z) = d*w(z) + 2*f(z). Calculate b(5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 434 and 2866030972?\nAnswer: 434","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(56)\/(sqrt(648) - sqrt(648)*5).\nAnswer: -sqrt(7)\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3\/10465895 + 639610613869\/62795370. Let y = -10184 + l. Calculate the common denominator of y and (-187)\/(-34)*22\/(-6).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5903 bigger than 10.3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 0, 10, 34, 78, 148, 250, 390, 574?\n\"Answer: u**3 + u**2 - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-375 + 612 - 343)*(-3*u**3 + 3*u**3 + 2*u**3) to the form c + o*u**2 + g*u + f*u**3 and give f.\nAnswer: -212","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -15*g**2 - 2*g + 7. Let u(r) = -58*r. What is t(u(j))?\nAnswer: -50460*j**2 + 116*j + 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (7*y - 5*y + 5*y)*(220 - 99*y**2 - 220 + (-4*y**2 + y**2 + y**2)*(-2 + 0 + 4)) to the form v*y**2 + h*y**3 + f*y + m and give h.\nAnswer: -721","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - x = 0. Suppose x = -4*y - 61 + 305. What is y rounded to the nearest 10?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1008223 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7958 divided by -1.\nAnswer: 7958","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 15 + -18. Suppose -2*f = 2 + 8. Which is the third smallest value? (a) f (b) 0.5 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -132, -232, -328, -420, -508, -592?\n\"Answer: 2*q**2 - 106*q - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -194982, -389839, -584698, -779559, -974422?\nAnswer: -1169287","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 k when three letters picked without replacement from {k: 1, y: 5, c: 2, d: 1, w: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -160*y + 165*y - 15. What is the tens digit of (-1 - -16) + 0 + y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*m**3 - 5448*m**2 + 29384412*m + 58790592 = 0. Calculate m.\nAnswer: -4166, -2, 2352","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 255, 164, 13, -198, -469, -800, -1191?\n\"Answer: -30*n**2 - n + 286","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2 + 6\/(-5 - -2). Suppose w*m + 165 = 5*m - 4*z, 4*z = -2*m + 38. List the prime factors of m.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -z - 1. Let i(c) = -4*c**2 - 5*c - 1. Let r = 3446 + -3451. What is r*x(a) + i(a)?\nAnswer: -4*a**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 9360*x + 1297. Is r(6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 393.3 - 0.1.\nAnswer: 393.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 24\/11 and 23\/863?\nAnswer: 9493","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that -9\/5*u + 0 + 3\/5*u**2 - 3\/5*u**4 + 9\/5*u**3 = 0.\nAnswer: -1, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 102900 and 9019332.\nAnswer: 588","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*p**2 - 3*p**2 + 0*p**2)*(-43*p**2 + 48*p - 48*p)*(-4 + 13 - 22) to i + z*p + j*p**4 + d*p**2 + x*p**3 and give j.\nAnswer: 1118","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u = -2*u. Suppose u*h - 30 = -5*h. Does 9 divide h\/27 - (-291)\/27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 152 and 38256?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 7*b**2 + b + 3. Let q(t) = 6*t**2 + t + 2. Let v = -7 - -11. Give v*z(p) - 5*q(p).\nAnswer: -2*p**2 - p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*k + 2*h = -13*k + 140852610, 80487220 = 4*k + 4*h. What is k rounded to the nearest 1000000?\nAnswer: 20000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 383626556 to the power of 1\/2, to the nearest integer?\nAnswer: 19586","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 231429?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/29? (a) 0.3 (b) -20 (c) 17071\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10180 divided by 2036.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 + g**2 - 2 + (8241*g**2 + 2855743 - 2855743)*(4 - 3 + 1) + 2*g**2 + 0*g**2 - g**2 to the form u*g + s*g**2 + a and give s.\nAnswer: 16484","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 266 divided by 38.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 53.21 - 54. Let g = -1305 + 1315.89. Let m = g + j. Round m to the nearest integer.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 170 = 94. Suppose 0 = -3*v + 3 + d. Is v a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*i + 0*i - 27 = 0 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1392.6 + -1393. Let q = -0.5 + 0.9. What is the third biggest value in q, -3\/2, p, 2\/15?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -61\/5700 and 67\/44460.\nAnswer: 222300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -18*112\/140*10\/(-36)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*p = -23 - 7. Suppose 0 = -5*j + 5*i + 45, 6*j - p*i - 11 = 7*j. Find a, given that 22\/3*a**3 - 8*a**2 - 8\/3*a + 0 - 14\/3*a**5 + 8*a**j = 0.\nAnswer: -1, -2\/7, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 75*h**2 - 1079*h + 345. Determine d(14).\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 3*f**2 + 2*f + 4. Let i be -4 - -2 - 134*-1. Suppose 9*a + i = 13*a. What is the remainder when a is divided by o(-2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/(-15) + 476175\/36. Let d = 13233 - b. Calculate the common denominator of 9\/8 and d.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.07108406 rounded to one decimal place?\nAnswer: 5.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -4*f**2 - f - 3. Let q(g) = -5*g**2 - g - 4. Let z(u) = -3*q(u) + 4*v(u). Let c be ((-2)\/(-4))\/((-32)\/64). Determine z(c).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 260412\/11 + -23674. Which is the smallest value? (a) -1 (b) -412 (c) -2 (d) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -184*v**2 + 0*v**3 - 5 + 2*v + 378*v**2 - 100*v**2 + v**3 - 3*v in the form a + x*v**2 + d*v**3 + q*v and give a.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -411*r**4*v**3 - 2*r**4 - 10*r**2*v + 9*v**3 wrt r?\nAnswer: -9864*r*v**3 - 48*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 5\/72 and -4\/8595.\nAnswer: 68760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 952?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -71*k + 79. Let m be l(1). Solve -m*p = -9*p - 1 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that 3*j**2 - 63814401*j - 127628814 = 0.\nAnswer: -2, 21271469","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2364503 by -317.\nAnswer: 7459","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*g - 7 - 5. Suppose 3*n + 0*n = -g*i + 56, -5*i + n = -70. Is i a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (1 + -2)*((0 - 6) + -44). What is the greatest common factor of 90 and c?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2406456 and 2444.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4 - -28. Suppose l = 2*k + 2*k. What is the least common multiple of k and 11 - ((-4)\/2 - -4)?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-24)\/(-60) + (-57)\/30 - 0. Which is the fourth biggest value? (a) 0.5 (b) 4 (c) r (d) -2\/3 (e) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-10)\/25)\/((-6)\/(-60)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1252 + 1696. Is 111 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8*21\/6*(-14)\/(-28)\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -2 + (-1 - -1) - -5. What is the closest to u in 3, 1\/3, 0.5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(168) - sqrt(42))\/(5*sqrt(96)).\nAnswer: sqrt(7)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -4.1, 2, 10, 1, 71 in decreasing order.\nAnswer: 71, 10, 2, 1, -4, -4.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-o - 3*o + o)*(498 + 101 - 142).\nAnswer: -1371*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -23141842 divided by -2?\nAnswer: 11570921","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 66 is divided by 11?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -15653190 to the nearest 1000000.\nAnswer: -16000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12699 (base 11) to base 4.\nAnswer: 10123121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*w = 59 - 59. Solve 4*z = 4*p + 8, w*p + p = -z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 751765.6 hours in microseconds?\nAnswer: 2706356160000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 197 (b) 1\/4 (c) 8.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 87*p**2*q + 78*p**2 - p*q + 13976*q wrt p.\nAnswer: 174*p*q + 156*p - q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 72 + 31115?\nAnswer: 31207","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3, 17, 57, 129, 245, 417, 657, 977?\nAnswer: 1389","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/7, -1.93, -1 in decreasing order.\nAnswer: 3\/7, -1, -1.93","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:51 AM and 8:15 PM?\nAnswer: 564","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -6*i + 1. Does 15 divide b(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 6, d: 1, p: 2, f: 2}. Give prob of sequence bpf.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 659.9932cm to nanometers.\nAnswer: 6599932000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1724 and 1096633383?\nAnswer: 431","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 18732379913 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -46*t**2. Suppose 6*o + 33 = 17*o. Suppose o*x - 27 = -3*f, 5*f - x + 3*x = 45. Let r(k) = 4*k - 11*k + f*k. Determine j(r(p)).\nAnswer: -184*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 126414*o = 2*x + 126412*o - 16, 3*x - 27 = 2*o for x.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3 + sqrt(325) + 1 - (sqrt(325) + sqrt(325)*-2 + sqrt(325) - sqrt(325))*1)*-1 + -3*-3*(sqrt(325) + -2)*-4)**2 + -3.\nAnswer: -25840*sqrt(13) + 473921","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-391)\/34)\/((-2)\/4). Is t less than 24?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3\/((-7)\/(140\/(-12))). Suppose -y = f*y - 24. What is the remainder when 14 is divided by y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2723619?\nAnswer: 3, 761, 1193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = n, 3 = -g + 22*n - 20*n for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (0 - 5)*2\/(-85). Which is the closest to 0? (a) x (b) -4 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 2*b**3 + 11*b**2 - 7*b - 6. Let l be u(-6). Determine j, given that -2\/5*j**3 + 0*j + l - 2\/5*j**2 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 365202.\nAnswer: 2, 3, 6763","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -19 + -1 + (-74 - -86)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**13)**26)**(4\/9) assuming k is positive.\nAnswer: k**(1352\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 7\/4 of a tonne?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 3*j**3 + j**3 + 511*j**2 - 1028*j**2 - 3*j**3 + 516*j**2. Let h(u) = -22*u**3 + 2*u**2. Calculate -h(c) - 2*v(c).\nAnswer: 20*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 3566101433 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t - 30*a + 17*a = -16*a + 6, -a = -2 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -4365, -16401, -36363, -64251, -100065, -143805, -195471?\n\"Answer: -3963*k**2 - 147*k - 255","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -3*d - d. Find the first derivative of -7*x + 3*x - d*x - 22 + 8*x - 21*x**2 wrt x.\nAnswer: -42*x + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*d + 2*t + 6, -37*d + 35*d + 2*t = 10. What is the tens digit of 2*(-3 - -2) - (-262 - d)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*k + 8*k + 12*k**3 - 18*k.\nAnswer: 12*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 694*r**2*x**2 - 469*r**2*x wrt x?\nAnswer: 1388*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 3 - 1)*(23790*m**2 - 23790*m**2 + 2063*m**3 + 2*m**3 + 3*m - 3*m + (0*m + 0*m - m)*(-m**2 + m - m)).\nAnswer: -6198*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.005878 to 4 dps.\nAnswer: -0.0059","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 23475 to the nearest integer?\nAnswer: 153","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 11556485 to the power of 1\/3, to the nearest integer?\nAnswer: 226","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/14)\/(489\/(-1141))*(-3)\/(24\/344).\nAnswer: -43\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -17*b**3 - 4*b**2 - 4*b - 4. Let n(t) = -4*t**2 - t - 1. Let w(s) = -7*s**2 - s - 1. Let j(y) = 2*n(y) - w(y). Calculate d(f) - 4*j(f).\nAnswer: -17*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.9 take away 3050.37794524?\nAnswer: -3042.47794524","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 5469 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 3*w - 453 = -1333, -3*w - 15 = 0. Let n be -1*2 - (-6 + (-3 - y)). Calculate the greatest common divisor of 36 and n.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -2, 12, 32, 58, 90, 128, 172?\n\"Answer: 3*l**2 + 5*l - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -7*i + 68. Let x be d(9). Suppose 0 = -2*j + j - x, -5*j = -5*z + 350. Calculate the lowest common multiple of 10 and z.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(132))\/sqrt(6) - (sqrt(22) - (sqrt(242)\/(sqrt(44)\/sqrt(4) + sqrt(11) + sqrt(11)) - sqrt(22))))\/(sqrt(1100)*1 + sqrt(99) + sqrt(99)*-2).\nAnswer: -2*sqrt(2)\/21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 24 + -28. Let r be 51\/u*(6 + -4). Let q = 26 + r. Calculate the common denominator of -97\/6 and q.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -2*g**3 + 41*g**2 + 20*g + 26. Let t be z(21). Solve -5*b = 3*m - 3*b + 10, -25 = m + t*b for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1020645 less than -1020645?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 26*((57\/(-12))\/(-19))\/(6\/(-48)).\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -8 + 13 - (6 - (-3 - 22))\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((95\/(-19))\/((-10)\/(-6)))\/(36\/(-4))\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -1502.13386 to the nearest 10.\nAnswer: -1500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -1625*b - 66655. Determine c(-41).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is w in 5*w**3\/3 - 650*w**2\/3 + 6820*w + 14520 = 0?\nAnswer: -2, 66","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 836*k + 3*w - 9 = 820*k - 38, 5*k - 2*w + 12 = 0 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + l - 1)*(2*l - 2*l + l**4) + (-3*l**3 + l - l)*(-l + l + l**2).\nAnswer: -2*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -12170 + 12168. What is the nearest to -2\/7 in -1\/13, v, 2\/17, 3?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -134142343 (base 5) in base 11?\nAnswer: -434020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -f - 38. Let w be d(-43). Suppose -5*n = 4*x + 7, w*x + 5*n + 4 = -1. Solve 0 = 4*o - y - 8, o + y - x = -y for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 14) to base 8.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = u. Suppose -b = 3*l - 4, 0 = 4*l - b + 2*b - 5. Let y(z) = 5*z + 1. Calculate l*y(a) + 4*d(a).\nAnswer: 9*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -k**2 - 69*k - 1040. Let z be i(-30). Calculate the greatest common factor of 26 and z.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g**2\/g)\/g*g)**(-3\/22)\/(((g\/g**(-3\/11))\/g*g)\/g*g*(g\/g**(-4))\/g*g))**2 assuming g is positive.\nAnswer: g**(-141\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*c + 15*c - 5*c - 2*c - c + 2*c + (-3 + 2 + 2)*(-2 + 2 - c) + 2*c - 3*c - c - 2*c + 0*c + 0*c + 2*c - 3*c - 2*c)*(-2*c**3 + 2*c**3 - c**3).\nAnswer: -5*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -277 - 306. Let r = g + 582.8814. Round r to 2 decimal places.\nAnswer: -0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -2, -3, -4, 4, 213 in descending order.\nAnswer: 213, 4, 3, -2, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is f - 1c2412?\nAnswer: -1c2403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 17564, 70201, 157928, 280745, 438652?\n\"Answer: 17545*p**2 + 2*p + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 6131, 12265, 18399, 24533?\n\"Answer: 6134*d - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -21 - -25. Let c = 16 - 6. Calculate the remainder when c is divided by k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 74*q**3 + 46*q**2 + 2*q. Let c(j) = -150*j**3 - 91*j**2 - 5*j. Let h(m) = -2*c(m) - 5*y(m). Find the third derivative of h(o) wrt o.\nAnswer: -420","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -268.819 to 1 decimal place.\nAnswer: -268.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -86, -69, -48, -29, -18?\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3024 and 27?\nAnswer: 3024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 12 (b) -2\/7 (c) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 54992239 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*g + 2*o - 2 + 10, 0 = -4*g + o + 4. Suppose 2*c + 15 = 4*c + 3*a, 4*a - 20 = g. Solve m = 4*y - 17, -4*y + 4*m + 13 + 7 = c for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -97, -187, -277, -367, -457?\n\"Answer: -90*v - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((24978\/1810)\/((-46)\/(-20)))\/(30\/(-9))?\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = p**2 - 11*p + 27. Let o be k(9). Let u(m) = -m + 11. Let r be u(o). Let y = -8 - -8.3. Which is the closest to 2? (a) r (b) y (c) 0.07\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 257 divide 1170892?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -786 - -791. Solve -9 = -3*o + 6, p*o = -5*f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) be the third derivative of -h**6\/120 - h**5\/6 - h**4\/8 - 3*h**3\/2 - 41*h**2. Let b = -25 - -15. Is d(b) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 34\/33 in 0, -1\/3, -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -3 - ((-153)\/(-4))\/(-9). Let p(o) be the first derivative of j*o**4 + 6 + 0*o - 3*o**2 + 0*o**3. Find the second derivative of p(s) wrt s.\nAnswer: 30*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -16603003 - -2?\nAnswer: -16603001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/(x**(-8)\/x)*x)\/x)**(-11\/2)*x\/(x**(-20\/3)*x)*(x*x\/x**8)\/x assuming x is positive.\nAnswer: x**(-166\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 160 and 1616.\nAnswer: 16160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -w**3 - 34*w**2 + 31*w + 94. What are the prime factors of m(-35)?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uuuauaa. Give prob of sequence aa.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2441*p + 2924*p + 3354*p.\nAnswer: 8719*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2 (b) 28 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -4 - 203*p + 205*p + 4. Let s(l) = -4*l. Determine n(s(q)).\nAnswer: -8*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = z + 2*z - 12, 4*z = -3*y - 1. Let r = 15 + z. What is the greatest common factor of 51 and r?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -l**2 - 5*l - 2. Let r(m) = 1. Let f(x) = 5*r(x) + w(x). Let q be f(-7). Let d(a) = -82*a + 15. Is d(q) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2, 0.5, -2\/45?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 219301516?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -7.5 times -1499\nAnswer: 11242.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -3*l + 1. Suppose -7*x + 2*x + 25 = 0, g - 3*x + 13 = 0. Let u be -1*g*(-2 + 0). Let s(f) = -10*f + 4. What is u*s(r) - 14*p(r)?\nAnswer: 2*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 611 minutes after 10:08 PM?\nAnswer: 8:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(70) + (sqrt(70) + 6*(sqrt(70) - -2*sqrt(70) - sqrt(70)) - sqrt(70)))*-3)\/(-1*(sqrt(640) - -1*sqrt(640)) - -5*(sqrt(640) - 2*sqrt(640))).\nAnswer: 117*sqrt(7)\/56","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 16 and 2334?\nAnswer: 18672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2130*x + 51385 = -4816*x - 42625 for x.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -5 (base 13) to base 14\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 890636.\nAnswer: 2, 222659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -322 - -359. Suppose -p - 31 = -u. Solve p = 5*x - 9 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1056230297 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate -67 + 4 - 6 - (4 - (7 - 9)).\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10670?\nAnswer: 2, 5, 11, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 12044\/30 - (-2)\/(-3). Let p = q + -399. Let r = 51281\/12 + -4261. Find the common denominator of p and r.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -68802, -0.3, -0.12?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -g**3 + 1. Let o be v(-1). Suppose -b + 6 = -9. Let j(a) = b - 15 - a**o. Let x(l) = 2*l**2. Calculate x(j(s)).\nAnswer: 2*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 193 - 208. Is 8 a factor of 191 + s\/6*16\/(-10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p*(p\/p**(2\/7)*p)\/p)*p)**(-44\/7)\/(p**(-6)*p**(-7)) assuming p is positive.\nAnswer: p**(549\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = l**3 + 8*l**2 + 11*l + 24. Let t be o(-7). Find the common denominator of 13\/(-3)*(t - 2 - 3) and -33\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -o**3 + o**3 + 4*o**3 - 3*o**3 - o. Let x be u(-1). Factor 1\/3*z**2 + z**3 + z**4 + 0*z + x + 1\/3*z**5.\nAnswer: z**2*(z + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11011100010111100110010 (base 2) to base 13.\nAnswer: -165aa0a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 25050 rounded to the nearest 1000?\nAnswer: 25000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13 + 14*w + 5*w - 21*w)*(2*w + 2*w - w)*(0*w + 2*w - 3*w).\nAnswer: 6*w**3 - 39*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31 = -4*o - 3*f, -62 = 3*o + 5*f - 25 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t = -7*t + 10*w - 86, 5*w = 3*t + 89 for t.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(-7\/4)\/n**(-1\/7)*(n**(2\/5))**(-8\/11)*(n**(2\/23)*n)\/(n\/(n\/n**1))*(n*n**(2\/3)\/n)**(1\/8) assuming n is positive.\nAnswer: n**(-45898\/26565)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3431771 by -139.\nAnswer: 24689","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 715\/8 (b) 1 (c) 1\/3 (d) 12 (e) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 2*l - 4 = -4*o, 0 = 3*o + 5*l - 10. Suppose 0*h + 3*h - 3540 = o. What is h rounded to the nearest 100?\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/26 (b) -9562 (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -1142, -1773 in descending order.\nAnswer: -3, -1142, -1773","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Do -1 and 431\/18952 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = t**3 - 4*t**2 - 5*t + 3. Let u be c(5). Solve 0 = -u*z + 1 + 5 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 - -3)\/(2\/(-2) + 2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/22*(-220)\/(-40).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + f + p - 18 = 0, 6 = 3*p. Suppose -f*w + 20 = 0, -3*a + w + 44 = 1. What is the lowest common multiple of 18 and a?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 26 + -23. Sort 9, q, -1.\nAnswer: -1, q, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the first derivative of -y**4\/4 + y**3 + y**2\/2 - y + 8. What is v(3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/k**(2\/9)*k**(4\/7)*k*k)\/(k**5\/k*k\/k**(1\/9))*(k**(2\/17)\/k**(2\/15))\/(k**(-4)\/k*k**8) assuming k is positive.\nAnswer: k**(-24394\/5355)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4*2\/39*(-516)\/(-688).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -6\/17*y + 6\/17*y**3 - 2\/17*y**2 + 4\/17 - 2\/17*y**4 = 0. What is y?\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -533 and -3.\nAnswer: 1599","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1968030, 3936047, 5904064?\nAnswer: 7872081","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*n + 1552 = 19*n + 44. What is the smallest common multiple of 4 and n?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2972 is divided by 33.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p = -40*g + 172, 12 + 49 = 4*p + g for p.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 126 a factor of 19124784?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-20 - -3) + -30 + -1 + 20.\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 260551.\nAnswer: 260551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(119) + -1*sqrt(119)*-2 - -1*sqrt(119)*-2)\/(sqrt(7) + sqrt(35)\/(sqrt(15)\/sqrt(3)) - (-2*sqrt(252) + sqrt(252))))**2.\nAnswer: 17\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: ((-12)\/(-3))\/((-1638)\/(-390)*10)\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -27528 + 41830. Is 33 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -176848 by 14.\nAnswer: -12632","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*a + 3*a - a)*(5*a + 5*a - 5*a) + (2 + 2 - 6)*(3*a**2 - 3*a**2 + a**2) - 2*a**2 + 5*a**2 - 2*a**2.\nAnswer: 9*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -29731.92667 rounded to the nearest one hundred?\nAnswer: -29700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**6*(((c\/(c\/(c*c**(-1\/6))*c)*c*c)\/c)\/c)\/c)\/(c**(3\/4)\/(c*((c\/(c\/c**(1\/6)))\/c)\/c)))**35 assuming c is positive.\nAnswer: c**(455\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -11675 + 11670. What is the nearest to -1 in 2, 0.5, 0.1, b?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -u - 15. Calculate g(-9).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 2 + 0)*(9*g**2 + 47*g - 47*g)*(281*g - 2*g - 42*g) to the form x*g**2 + r + b*g + m*g**3 and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -154, -212, -300, -412, -542?\n\"Answer: b**3 - 21*b**2 - 2*b - 132","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1391164690?\nAnswer: 2, 5, 4603, 30223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7 + 11. Is 6 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -u**2 - u + 3. Let v be j(-2). Let k(a) = v + 178*a - 8 - 64*a + 2. Is k(2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4 + sqrt(13)*-2)*-6)**2 - sqrt(52)\/(3*sqrt(64)).\nAnswer: -6913*sqrt(13)\/12 + 2448","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 32*q**3 + 303*q**2 - 2 + 2*q**4 - 584*q**2 + 3*q + 281*q**2 to the form m*q + p*q**4 + f + k*q**2 + v*q**3 and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 93503470 rounded to the nearest 100000?\nAnswer: 93500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) be the first derivative of 11*t**4\/2 - 2*t**2 + 2786*t + 2928. Find the first derivative of x(p) wrt p.\nAnswer: 66*p**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a kilogram in grams?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1419993?\nAnswer: 3, 17, 9281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is f5 + 39b?\nAnswer: 490","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 4, -5, -61, 0.131?\nAnswer: 0.131","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the second derivative of 1\/4*j**4 + 3\/2*j**3 + 2*j + 11 + 0*j**2. Determine d so that p(d) = 0.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 5*p**2 + p - 7. Suppose 4*d - 24 = -3*w - w, 2*w - 2*d = -4. Suppose -b + w = 6. Let g(n) = -n**2 + 1. Determine b*g(o) - s(o).\nAnswer: -o**2 - o + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*t - 3*t + 0*t + (3 - 3 + 2*t)*(-1 + 3 - 4) - 3*t + 6*t - 2*t to the form o + l*t and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -2*y + 2. Let x = -8 - -14. Let b(l) = 1 - 4*l + x - 2. Let a(k) = k**2 - 5*k - 5. Let g be a(5). What is g*w(s) + 2*b(s)?\nAnswer: 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 875 divide 2096589812?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -8 - -7.7. Let u = b - -1.3. Let n = -2 + 4. Sort n, u, 0.3 in ascending order.\nAnswer: 0.3, u, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((w*w*w**0*w)\/w)**(-2\/41)\/(w\/w**(-1\/6)*w**(-5)*w))**(-11))**(-36) assuming w is positive.\nAnswer: w**(44418\/41)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 2015 a factor of 91150847?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t**4\/5 - 11184*t**3 + 111920*t**2 = 0. Calculate t.\nAnswer: -13990, 0, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 115272 and 22173850?\nAnswer: 3202","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4 * -3170.\nAnswer: 1268","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Total of 48695.49 and 12692.\nAnswer: 61387.49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 953576 and 4410289.\nAnswer: 35282312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -i**3 + 3*i - 7. Let l(r) = 6*r**3 - 14*r + 34. Let b(s) = -14*h(s) - 3*l(s). Differentiate b(y) wrt y.\nAnswer: -12*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*r = -46*r - 20547000. What is r rounded to the nearest 100000?\nAnswer: -2300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 75 and 36735?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 5369345 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -1.43962 at most 3.4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*m**2 + 19*m**2 - 29*m**2.\nAnswer: 8*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -11593758 rounded to the nearest ten thousand?\nAnswer: -11590000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r - 10 - 3*r - r + 0*r. What is the units digit of a(-13)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*(0 + sqrt(1700)) - (sqrt(1700) + 1*(sqrt(1700) + 0)))*1 - 6*(sqrt(1700) - (sqrt(1700) + 1))*-4*-5)**2.\nAnswer: -9600*sqrt(17) + 41600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 31633?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 1bc44 (base 13) to base 5\nAnswer: 3223222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3.969 - -0.031. Let d = 4 - 12. What is the second biggest value in d, -2, x?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (11465 - (3 - 0)) + (0 - 2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.088034 millilitres in litres?\nAnswer: 0.009088034","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1\/(-5)*(5 - (-45)\/(-12)). Is 1\/13 smaller than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 13244 + 2?\nAnswer: 13301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2659*c = -2656*c + 12 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -210*y - 36*y + 984 = 0 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = w**2 + w + 9. What is the units digit of f(0)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is sixty-four fifths of a milligram in micrograms?\nAnswer: 12800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 36*y**5 - 333588*y**4 + 778189*y**3 - 120348*y**2 - 778225*y + 453936 = 0. What is y?\nAnswer: -1, 1, 7\/6, 9264","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*t**3 - 2*t**2 - 169*t**4 + 168*t**4 + 2*t - 4*t - 6 as b*t**2 + k*t**4 + s*t + z*t**3 + a and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (6 + 0 + -4 - -5) + -1 + 4?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -3, 0.4, -0.4, 0.1 in decreasing order.\nAnswer: 0.4, 0.1, -0.4, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ww when two letters picked without replacement from wwwppww?\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -l**2 + l**2 - l**3 - 3*l**3.\nAnswer: -4*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 17794.66 millilitres in litres?\nAnswer: 17.79466","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -200 divided by 50\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = -2*z - 160. Suppose -z*d = -79*d - 70. Is d a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*w**3 - w**3 + 2535*w**2 - 2540*w**2.\nAnswer: -12*w**3 - 5*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 282, 385, 490, 597, 706, 817, 930?\nAnswer: 1045","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 0 - 8 = -k, w = 4*k - 14. Let o(q) = 7 + 8*q - 9*q + 9*q. Let n(x) = -7*x - 6. What is w*o(l) - 7*n(l)?\nAnswer: l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 6*o - 80. Let y be u(14). Suppose 2*w + 3*b = b + 14, 2*b = -y*w + 22. Solve -3*s + 4*n + 7 = 0, -4*s + 5*n - w = 3*n for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (17 - 10) + -48 + (-21 - (-7 + -6))\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -25311634756 to the nearest one hundred thousand.\nAnswer: -25311600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 371 minutes after 6:30 AM?\nAnswer: 12:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000146 to 7 decimal places.\nAnswer: -0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -7 + -3 + -2 + (27 - 9)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 33, 69, 139, 261, 453?\n\"Answer: 3*n**3 - n**2 + 18*n + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*i**2 - 27443*i + 4574 = 0. What is i?\nAnswer: -4574, 1\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 65181.8 * -0.4\nAnswer: -26072.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 34\/3 - 12. Which is smaller: v or 0?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -15*q**4 + 23. Suppose s + 24 = 5*s. Let h(i) = -4*i**4 + 6. Let l(y) = s*j(y) - 22*h(y). Differentiate l(u) wrt u.\nAnswer: -8*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2344039 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 2036492214 to the power of 1\/4, to the nearest integer?\nAnswer: 212","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 7, b: 4, i: 6, p: 1}. What is prob of picking 1 i, 1 t, and 1 b?\nAnswer: 7\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 23 - ((-18 - -23) + (-8 - -5))?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 380296380 to the nearest one hundred thousand.\nAnswer: 380300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 18549, 72757, 163103, 289587, 452209, 650969, 885867?\n\"Answer: 18069*r**2 + r + 479","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*f**3 + 30*f**3 - 15*f**3 - 34 + 663*f + 34.\nAnswer: 3*f**3 + 663*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = v**5 + 2*v**3 - 1. Let j(o) = -4*o**5 - 30*o**3 - 8*o**2 + 24*o + 6. Let n(z) = -6*h(z) - j(z). Determine q, given that n(q) = 0.\nAnswer: -2, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5534 to the nearest integer?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 324781485?\nAnswer: 3, 5, 7, 797, 3881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(8)*2 + (sqrt(24) - sqrt(72)\/sqrt(3))\/sqrt(12).\nAnswer: 4*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -8 + 0 - 21\/(-1 + -6). Let z(c) = -9*c. Let x(b) = b + 1. Let q(k) = p*x(k) - z(k). Let t be q(2). Solve -a - 2 = -3*g, -6*a - 6 = -t*a - 4*g for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1110011110100111100 (base 2) to base 5.\nAnswer: -110140203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 3*z - 3. Let k be a(3). Let l = -772 - -775. Suppose -r + k = l. Solve f = r*f + 8 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -83\/1144360 and -57\/1307840.\nAnswer: 9154880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.7 times 0.29?\nAnswer: 1.653","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(252) - (sqrt(252) - (sqrt(252) + sqrt(252)*-1))) + ((-1 + sqrt(252))*1 + sqrt(252))**2.\nAnswer: -24*sqrt(7) + 1014","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from oocooocoooo. Give prob of picking 4 o.\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -12 + 18. Suppose o*q - 26 = -2*t + 2*q, -t - 12 = -3*q. Suppose j - 1 = -3, -t*d - 4*j = -4. Solve 12 = d*h - h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0\/((-3 + 2)\/(-1)). Suppose 3*j + j + 3*q - 155 = x, 3*j = -4*q + 111. Does 11 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*y + 4*t - 291 = 0, 0 = -187*y + 216*y - 5*t + 175 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-14)\/(-1) - 15\/5. Suppose 18582 = n*j + 3710. What are the prime factors of j?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q**3 - 12*q**2 + 28*q - 321. What is z(12)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 709491 and 13176.\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -2*k**3 + 5*k**2 + 3*k - 1. Let z(f) = 3*f**3 - 11*f**2 - 7*f + 2. Let u(i) = 7*p(i) + 3*z(i). Give u(-1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 376 is divided by 95.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3 - (-114)\/30)\/(4\/10). Solve 4*y - 3*z + 8 = 0, -3*y - 19 = -k*y - 5*z for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -94*n**3 - 2*n - 1. Let j(b) = b - 5. Let r be 84\/22 - 2\/(-11). Let o be j(r). Is z(o) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 203 divide 30540?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = -5*h + 26. Suppose -3*a + 0*g - 9 = -h*g, -3*a + 15 = 5*g. Solve a = v + 4*c + 12, 3*v - 20 = 2*v + 4*c for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2807796 divided by 12.\nAnswer: -233983","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12834 is divided by 131.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = j**3 - j**2 - 8*j + 5. What is h(5)?\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 104, 109, 142, 215, 340, 529?\nAnswer: 794","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 0.2804478ng?\nAnswer: 0.0000002804478","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ngngmnruugufgn. Give prob of picking 1 u and 1 n.\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1 - -2. Let g = 1.054 + -1.1. Let l = g - 1.954. Which is the closest to q? (a) 2\/9 (b) l (c) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4.6 - 0.6. Let t = 2269\/371 + 168\/53. Let j = t - 9. Which is the second smallest value? (a) j (b) r (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = -2*m + 4, 3*i - m = 4*m + 1. Suppose d = -5*y + 8, i*y - 4*d = -y + 14. What is the third derivative of -2*h**3 + 8*h**6 + 2*h**2 + y*h**3 wrt h?\nAnswer: 960*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 27\/5 of a litre?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 105256859 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.075464 rounded to 3 decimal places?\nAnswer: 0.075","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-4)*o*o**(-3\/11)*o)\/(o**(1\/8)\/((o*o**(5\/3))\/o))*o**1*o**(-1\/9)*(o\/((o\/o**1)\/o))**(42\/11) assuming o is positive.\nAnswer: o**(6173\/792)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(700) - (sqrt(252) + 4)**2) + (sqrt(35) + 3*sqrt(245)\/sqrt(7) + sqrt(35))\/sqrt(5) + 0.\nAnswer: -268 - 53*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 42 - (5 + 30 + -15)?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3 + 5. Suppose 162 = -41*k + 59*k. Suppose -k*m + 5 = -4*m. Calculate the greatest common divisor of x and m.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1 - -36601a?\nAnswer: 366019","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(304)*-2 + sqrt(19))**2 + -1 + sqrt(304).\nAnswer: 4*sqrt(19) + 930","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4.1 and -7627.\nAnswer: -31270.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 116161039 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 12970 at least as big as 7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -g**2 - 7*g + 20. Let n = 11 - 20. Let s be h(n). Solve -s*d - 2*l + 5 = 3*l, 2 = d + 3*l for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 20055 + -20055.3. Let y = -29.069 - -0.069. Let f = 9 + y. What is the nearest to f in 2, k, 0.4?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + (-2*sqrt(2112) - sqrt(33) - sqrt(4752)*-1)\/((2*sqrt(15))\/sqrt(5)*-6))*1)**2.\nAnswer: 275\/144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (35 - 26) + -6 - (-7 + 6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 25 or 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 470319 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1252*m = 404*m + 420*m + 413*m + 315 for m.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 6.8120514 nanoseconds?\nAnswer: 0.0000000000018922365","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 568 - 1417. Let m = -2849 - q. Round m to the nearest 1000.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve w - 5*v = 29, 3*w - 198 = -2*v - 213 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21882 + (132\/(-3) - -24).\nAnswer: 2, 17, 643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 6*l**3 - 50*l**2 - 14*l + 73. Calculate j(8).\nAnswer: -167","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-1*sqrt(4) - sqrt(4))*6 + sqrt(4))\/sqrt(2))**2 + sqrt(98)*1 + sqrt(2) + 0.\nAnswer: 8*sqrt(2) + 242","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 minutes after 6:12 PM?\nAnswer: 6:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 136 = -104. Let p be 1\/(92\/x + -2). Calculate the remainder when p\/(-36) - 209\/(-3) is divided by 24.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1)\/3 + (-11)\/(-297)*63. Solve -3*o + i*x = 2*o - 25, 3*o - 4*x = 29 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence id when two letters picked without replacement from diidiioodi?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (876\/(-180) - (-2)\/(-15))\/(-1). Solve -a*h = -5*m + m + 5, 3*h + m - 14 = 0 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 7150 and 385?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in seventeen quarters of a hour?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -62*f**4*y**3 + 29*f**4*y + 2*f**3*m + f**2*m*y**3 + 22*f**2 - f*m*y**2 - 15*f*m + 5*f*y**2 wrt f?\nAnswer: -1488*f*y**3 + 696*f*y + 12*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -68 + 70. Suppose 0 = 3*k + 3 + 6, l*x = -5*k + 11713. Is 1 + x\/(2 + 0) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (96\/(-2))\/((63\/(-102))\/7). Suppose -7*n + 107 = -c. What are the prime factors of n?\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) be the second derivative of 27*h**4 - 3*h**3 + 19*h**2\/2 - h + 51. List the prime factors of q(1).\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 0 + -6918935?\nAnswer: -6918935","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -3*p + 1. Let s be b(1). Let n(u) = u + 3. Suppose 3*w + 13 = -4*m, w + 4*w - 2*m + 13 = 0. Let c be n(w). Which is bigger: s or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3022946 divided by 64318\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -54 - -51. Let r(k) = -4*k**2 + 3*k - 4. Let m(z) = z - 1. Give u*m(a) + r(a).\nAnswer: -4*a**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*o + 331 = 2178 - 47750. Calculate the highest common factor of o and 1391.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -136.59 + 136. Let b = -0.468 - m. What is b rounded to one dp?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -794*u**2 + 2*u. Let h(f) = 21*f**2. Give m(h(s)).\nAnswer: -350154*s**4 + 42*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 111 = 2*j, 4*j + 3*u = 75 + 142. Let h = j - 39. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -390910, -781500, -1172090, -1562680, -1953270, -2343860?\n\"Answer: -390590*n - 320","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:08 AM and 5:08 PM?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00002300114 rounded to 6 dps?\nAnswer: 0.000023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 39021557?\nAnswer: 4969, 7853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.048 + 25.952. Let n = 29 - u. Let o = 272.2 - 272. Which is the second smallest value? (a) 4 (b) n (c) -0.3 (d) o\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18339*u - f = -18337*u + 7, 5*f - 35 = 4*u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from abfagamfffaof. Give prob of picking 1 f, 1 a, and 1 m.\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.1 (b) 20 (c) 2 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*c - 3*l - 171, -4*c - 3*l = 178 - 441. What is the remainder when 121 is divided by c?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 787?\nAnswer: 787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/7, 778, 2\/13, -1\/17, -3?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 2*j + 1. Let r be v(-5). Sort r, 4, -2, -1.\nAnswer: r, -2, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 14*j**2 + 152*j + 1. Calculate the remainder when 1240 is divided by c(-14).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) be the second derivative of 4\/3*s**3 - 6*s + 0 - 7\/2*s**2. What is the derivative of j(u) wrt u?\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -206668*j**3 + 6*j - 3780.\nAnswer: -1240008*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*v + 1 = 76. Solve j + 5*m = -4*j, v*m = 2*j - 35 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*f - n - 0*n + 14, 3*f - 4 = -4*n. Let g(m) = m - 4. Let z be g(6). Suppose -y + z = 2*x, 3*y - 2*y = x - f. Solve x*a + 0 = 2 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 15503314 and 1437.\nAnswer: 479","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) be the second derivative of -11*q**3\/3 - q**2\/2 + 22*q - 174. Let c(b) = -11*b. Give -5*c(l) + 2*h(l).\nAnswer: 11*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -154036 - 56*f + 154036.\nAnswer: -56*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*k + 5*v = -36*k, 2*v = -4*k - 8. Which is the closest to -2\/3? (a) -2\/9 (b) -10\/3 (c) k (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 143 + 11?\nAnswer: 204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -104080 or -104078?\nAnswer: -104080","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(2 + -4*(sqrt(11)*-2)**2 + sqrt(176)*4 + -2 + 4).\nAnswer: -860 + 80*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:02 PM and 2:12 PM?\nAnswer: 130","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3 + 0. Let b(m) = 3*m + 13. Let v be b(-6). Let o = v - -14. Solve -o = 2*r - a for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-3)\/w)\/(w\/(w*w\/(w\/(w**(-5\/4)\/w)))*w))\/(w**(-1)*w**(-6)) assuming w is positive.\nAnswer: w**(-1\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 49.17541mg to micrograms.\nAnswer: 49175.41","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 59159402006 - 13*n - 59159402006.\nAnswer: -13*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uzzyyzzyuzuzzlyly. What is prob of picking 1 z and 1 y?\nAnswer: 35\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -50 + 14. Let u = x - -75. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -z + 8. Let u be x(6). Suppose b + u*s + 317 = 3*s, 0 = 2*b + 4*s + 646. Does 8 divide (-6)\/(-48) - b\/8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -85 - -76.9. Let u = 8 + y. Which is smaller: 10 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) be the first derivative of 4*c + 1 - 2*c**2 + 1\/3*c**3. Let m be d(4). Calculate the highest common divisor of m and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 6\/326173 or 72?\nAnswer: 72","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that -2*v**3\/3 + 17456*v**2\/3 - 36320680*v\/3 - 7804502048\/3 = 0.\nAnswer: -196, 4462","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1813 and 814?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -4*l - 36. Let k be y(-11). Suppose -w = -3*w + k. Let r(a) = -5*a + w*a + 0*a. Let x(o) = 11*o**2. Give r(x(h)).\nAnswer: -11*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 = 4*t - 5*x, 0 = -t - 0*t + 4*x + 19. Suppose 18 = 3*p - 5*d, t*p - 19 = 2*d - 1. Solve 5*a - s - 2*s = -p, 3*a + s = -12 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*a**2 + 160*a - 155 = 0. What is a?\nAnswer: 1, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 15399?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -8\/7 (b) 3.7 (c) -22 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14 + -10 + (44 - -2) is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-10)\/3*212\/3135. Let a = 2\/627 + g. Which is bigger: 4 or a?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -4*h**3 + 4*h**2 + 7*h + 5. Suppose 0 = -f + x - 6, 5 = 2*x + 1. Let d(g) = 2*g**3 - 2*g**2 - 4*g - 3. Give f*l(i) - 7*d(i).\nAnswer: 2*i**3 - 2*i**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 536223355.\nAnswer: 5, 107244671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/5 of a centimeter in millimeters?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z + 1. Let i be o(1). Let h(f) = f**3 - 9*f**2 + 10*f - 12. Let p be h(8). Suppose 0 = -i*m + 12 + p. What are the prime factors of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b*b**2*b\/(b\/(b\/(b\/((b\/(b\/(b\/b**(-6))))\/b*b)))))\/(b**(2\/17)\/(b\/b**11)) assuming b is positive.\nAnswer: b**(15\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -k**2 + 193*k + 2031. Determine g(-10).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -2*o**2 + 2*o + 40. What is u(5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.046 != 11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w + 1685 = 73*w + 1759 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5928, 0, -452, 4 in decreasing order.\nAnswer: 5928, 4, 0, -452","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5601?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:18 PM and 11:41 PM?\nAnswer: 623","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*q**2 - 52*q - 88.\nAnswer: -4*(q + 2)*(q + 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.24841 rounded to 4 dps?\nAnswer: -0.2484","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 1182, 1, 4, -3, -28, 0 in descending order.\nAnswer: 1182, 4, 1, 0, -3, -28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -32112 or -32111?\nAnswer: -32111","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-m + 2*m + m)*(-6 - 3*m + 6)*(136*m**2 - 69*m**2 - 61*m**2).\nAnswer: -36*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -807020 - 76068 = 9104*u for u.\nAnswer: -97","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 129000022?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -15477, -17050, -18623?\nAnswer: -20196","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 248, -78, -1018, -2878, -5964, -10582?\nAnswer: -17038","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/5 at most as big as 26\/1011?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.7 - 5.7. Let h be 60\/(-63) + (-2)\/(-3). Which is the closest to 2\/7? (a) -0.2 (b) r (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1140\/1400 + 3\/(-5). Let l = -29\/28 - w. Suppose 3*n + 19 = 7. Which is the second biggest value? (a) -54 (b) n (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x**2 - 2830*x - 5680 = 0. Calculate x.\nAnswer: -2, 568","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = 3*j - 5. Let h(w) = -13*w**2 - 1. Let z(n) = 24*n**2 + 2. Let g(v) = j*z(v) - 5*h(v). Determine g(1).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8 - 4 - 4 - 1311*z.\nAnswer: -1311*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*w + 15, x + w = 2*x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 12 = 4*n. Suppose -u - 2 = -11. Suppose 2*d - o = u, -4*d = -5*o - 5 - 4. Is n at most as big as d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(66) - (2*-2*sqrt(66) - sqrt(66))) + sqrt(66) + sqrt(66))\/(sqrt(18)\/(sqrt(3) - sqrt(12))).\nAnswer: -8*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -924477.171 + 924065. Let b = h + 412. What is b rounded to 2 decimal places?\nAnswer: -0.17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 94 = 17*q + q - 86 for q.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 127 + -127.091. Let q = 10.909 - y. Which is the nearest to 2\/9? (a) q (b) -2 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 192\/18720*(-405)\/(-18)?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k*k**(2\/17)*k**(2\/7)*k\/k**1*(k**0\/k)\/k*k*((((k\/(k\/((k\/k**6*k)\/k)))\/k)\/k)\/k**(1\/3))**(-2\/37) assuming k is positive.\nAnswer: k**(10564\/13209)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 286 + 717. Let l = k - 999. Find f such that 0*f**2 + 2\/15*f**3 - 2\/15*f**5 + 0*f**l + 0 + 0*f = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 141 = 16*s - 91*s + 141. Which is the closest to s? (a) -8 (b) 1\/17 (c) -3 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 478074563 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in seven halves of a decade?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -77\/27140 and -31\/2360?\nAnswer: 54280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 17*i**2 + i. Does 11 divide l(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = 3*b - 1391 + 402, 0 = -5*r - 3*b - 2504. Let t = r + 506. Suppose -35 = -3*u - 2*u. What is the highest common divisor of u and t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (25 + 25*y - 25)*(0*y - 4*y - 4*y)*(-2*y**2 + 2*y - 2*y) + 7*y**4 - 2*y**4 - 3*y**4.\nAnswer: 402*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 26689?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -35\/6 + 19\/3. Let o = -40665 - -40666. Which is the fourth biggest value? (a) 3\/5 (b) q (c) o (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 2*y = 8, 3*a = -0*a - 2*y - 8. Suppose -4*h - 1 - 47 = a. Sort -1, -2, h in descending order.\nAnswer: -1, -2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - s**2 + (2*s + 0*s - 3*s)*(-s + 4*s - 2*s) - 4*s**2 - 3*s**2 + 5*s**2)*(42*s - 42*s + 3*s**2).\nAnswer: -12*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 336524 to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0, -0.1, 10, -4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -880*m + 39. Let g be c(0). Sort g, -0.035, -3 in increasing order.\nAnswer: -3, -0.035, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (2 + (-2)\/4)*2. Let o be (67\/(-6))\/(2\/(-12)). Suppose l*s = -28 + o. Solve j + 11 = 3*z, -5*z + s = 2*j - 20 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2579581 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 8039248 divided by -1432\nAnswer: -5614","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 29200, 58319, 87438, 116557, 145676, 174795?\n\"Answer: 29119*v + 81","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 26890 and 1070.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3037921 to the nearest integer?\nAnswer: 1743","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000058698208 to 6 decimal places.\nAnswer: 0.000059","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 54528000 rounded to the nearest one million?\nAnswer: 55000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 35811 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -398*y + 398*y + 23*y**3.\nAnswer: 23*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 909, 914, 919, 924, 929, 934?\n\"Answer: 5*b + 904","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 0*b - 2*b + b. Suppose -3 = -0*y - y. Suppose k + 2 = y*k. Let j(o) = -o**2 + 4*o. What is k*j(a) + 4*i(a)?\nAnswer: -a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 15789721?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 323687325 is divided by 14.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -b. Let i(c) = -2*c - 77. Give -i(p) - 3*l(p).\nAnswer: 5*p + 77","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = o**3 + 11*o**2 + 10*o + 4. Let d be j(-10). Solve -a = -2, d*l = -0*a - 4*a - 12 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15907?\nAnswer: 15907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0032994 rounded to 5 decimal places?\nAnswer: 0.0033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out -617 * 26.\nAnswer: -16042","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 161597815.5 to the nearest 100000.\nAnswer: 161600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/9, 7, 40 in ascending order.\nAnswer: 4\/9, 7, 40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7844629, -7844628, -7844627, -7844626, -7844625, -7844624?\nAnswer: -7844623","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(2\/17)\/(a*a\/a**3)*a\/(a**(-1\/4)*a)*((a\/a**2)\/a*a)\/a assuming a is positive.\nAnswer: a**(-43\/68)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 20, 1, 4, -0.5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 84946*g**2 + 14*g - 359 wrt g.\nAnswer: 169892","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*j**2 - 19*j - 2*j**2 + j**2 + (3*j + 2*j - 7*j)*(-j - 2 + 2) + 6*j**2 - 2*j**2 - 3*j**2 in the form t*j**2 + f*j + d and give f.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*u - 5262 = -5352 for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -4*112884.8\nAnswer: -451539.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = a**2 + 8*a - 6. Let j be i(-9). Suppose 0 = -3*h + 5*s - 18, -8*h + j*h + s = 8. Let c be (h - -2)\/(0 + 1). Let d(g) = 2*g**2 + 1. Give d(c).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 54565.\nAnswer: 5, 7, 1559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 6 + -2 + (-16)\/(-4). Suppose 683950 = 3*f - q*f. Let g = -276790 - f. What is g rounded to the nearest one hundred thousand?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6 + -5. Let t be (6 - g) + 2 + -2. Suppose -t*f + f = -56. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5.94 - 0.26. Let g = 6 + r. Let v = -3.93 - 0.07. Sort -1, v, g.\nAnswer: v, -1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = n**3 - 9*n**2 + n + 7. Let t be b(9). Suppose d - 48 + t = 0. Let w = -46 + 57. What is the remainder when d is divided by w?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -95896, -191520, -287144, -382768?\n\"Answer: -95624*w - 272","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the first derivative of -a**6\/15 + 18*a**5\/25 + 5*a**4\/2 - 22*a**3\/5 - 3212. Find o such that f(o) = 0.\nAnswer: -3, 0, 1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 12 (b) -1 (c) -2\/1715 (d) -11 (e) 3\/5 (f) -3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 11 - 11.132. Let t = o - 0.368. Let m = 2 + -1.8. Put t, 3, m in decreasing order.\nAnswer: 3, m, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.967443 rounded to 2 decimal places?\nAnswer: 1.97","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 r when two letters picked without replacement from {r: 3, d: 15}.\nAnswer: 5\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rww when three letters picked without replacement from {i: 1, r: 1, w: 4, c: 2, o: 2}.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 54 and 108?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 20 - 20 + 2*t**2. Let d(n) = -2*n**2. Determine 6*d(h) + 5*f(h).\nAnswer: -2*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -5034, -10070, -15106?\n\"Answer: -5036*n + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = c**3 + 130*c**2 - 658*c + 2489. Determine w(-135).\nAnswer: 194","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 13347625?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.508 rounded to 0 dps?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -169*m - 1\/2*m**2 - 28561\/2.\nAnswer: -(m + 169)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = k**2 - 6*k + 8. Let a(g) = -3*g - 11. Let c be a(-5). Let n be w(c). Suppose -3*j + 12 + 54 = n. List the prime factors of j.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 107\/519503776 and -47\/128?\nAnswer: 2078015104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -2\/7, -117\/4, -38?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1821 = -5*q + 2*z - 6*z, 5*z = 20. Does 2 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 170392297 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 71 + 48. What is the tens digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 16 - 9. Let j be (-55)\/(-825) - 29\/(-15). Factor 0 + j*c**2 - 4*c**2 + i*c**4 - 6*c**4 + 1.\nAnswer: (c - 1)**2*(c + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 616 is divided by 39?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 37*y - 10*y - 108*y - 6*y - 6*y + 94*y.\nAnswer: y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -71 + 441 = 5*r. Suppose 371 = -4*p - p - 4*n, -n - r = p. Let s be p*(1140018\/9 + -2). Round s to the nearest 1000000.\nAnswer: -10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7918109036 - 0\nAnswer: -7918109036","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-15)\/(-18)*8\/(-40)\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.2 (b) 2\/3 (c) 8 (d) 24\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 5 * -206023.31\nAnswer: -1030116.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 37\/((-185)\/30) + (-4)\/1. Let s = 605 - m. Does 15 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3272945 less than 3?\nAnswer: 3272948","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -2623, -2633, -2643?\n\"Answer: -10*s - 2613","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 91561 (b) -4 (c) 0.3 (d) -71\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -106*q**2 + 88*q - 11*q**3 + 10*q**3 - 107*q**2 + 210*q**2 in the form z*q**3 + m + f*q**2 + u*q and give f.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:31 AM and 4:44 PM?\nAnswer: 313","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11222011 - 221220?\nAnswer: -12221001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -15*t + 7. Let j = 3035 + -3039. What is u(j)?\nAnswer: 67","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.638 and -62?\nAnswer: 39.556","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 165.9 in 4, 12, -4\/3?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -4191*l**3 + 1066*l**2 + 7*l. Let s(v) = -2096*v**3 + 534*v**2 + 3*v. Let c(p) = -3*n(p) + 7*s(p). What is the third derivative of c(o) wrt o?\nAnswer: -12594","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13362 divided by -3.\nAnswer: 4454","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 5*s + 40 = 0. Suppose -28 = -s*a - 2*a. Solve -3*i - 2*i + 15 = a*p, i = -2*p + 3 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the second derivative of -g**3\/3 + 7*g**2\/2 + 5*g. What is the remainder when r(-5) is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -66, -91, -148, -249, -406, -631, -936?\n\"Answer: -2*w**3 - 4*w**2 + w - 61","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-10))\/(7\/(-42))?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -406 = -u + c, 16 = -u - 4*c + 442. Does 10 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = c**3 - 5*c**2 - 10*c - 24. Let o(r) = -r**2 + 25*r - 39. Let b be o(23). Let p be j(b). Solve h + p = 5*h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25365163 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.5 (b) -0.6 (c) -3 (d) 4\/1473 (e) 1.4 (f) 1\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -20429026 smaller than -20429018?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 12 - (24 - 13).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -10, -0.044302, -5\/3?\nAnswer: -0.044302","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*l - 188 + 180. Let u(x) be the third derivative of -4*x**2 + 0 - 1\/6*x**l - 1\/210*x**7 - 1\/30*x**6 + 0*x - 1\/6*x**3 - 1\/10*x**5. Factor u(v).\nAnswer: -(v + 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -x**2 + 64*x - 707. What is the remainder when n(42) is divided by 49?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 950821 to the power of 1\/6, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -57*w - 62*w + 247*w - 65*w - 53*w.\nAnswer: 10*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (-247*i + 2 + 114*i + 121*i)*(3*i - 4*i + 3*i) in the form l + p*i + z*i**2 and give z.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = 4*w - 3*l, 0 = w - 2*l + 1 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2505?\nAnswer: 3, 5, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1\/6 + 1\/6. Let s = 31 - 277\/9. What is the third biggest value in l, 9, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 39145.18509 and 110.7.\nAnswer: 39255.88509","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 2*i**2. Let j(b) = 225222*b. Calculate j(y(a)).\nAnswer: 450444*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-8*o - 164*o + 32*o)*(0*o - o + 4*o) to n + g*o + w*o**2 and give w.\nAnswer: -420","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 715.00002792 + -715. Round q to five decimal places.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 401 (base 5) to base 12\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1237?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 283481 and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 159818641 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 3443 at most as big as 3444?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 132773 is divided by 132694.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 310387 rounded to the nearest 100000?\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -1052*u - 210410. Calculate p(-200).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 43\/2 of a kilogram?\nAnswer: 21500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3892949?\nAnswer: 17, 31, 83, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -698*m**5*o**2 + 3*m**2*o**3 + m*o**3 + 9*m*o**2 - 3*m*o wrt m?\nAnswer: -13960*m**3*o**2 + 6*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 20 = s + 35, s = 2*x - 5. Solve -20 = -3*q + x*k - 16, -k = -5*q + 14 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2867*o + 2874*o = -42 for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 66968 a multiple of 88?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -182 - -115. Let p = t + 107. What are the prime factors of p?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*i**2 - 2*i**2 - i**2)*(4*i - 2*i + 7*i)*(-2*i**2 + 4*i**2 - 3*i**2).\nAnswer: -9*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -2*o**3 + 4*o**2 - 13*o + 72. Determine m(4).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 12563 + -7695. Suppose -2*t - 12*o + 2455 = -17*o, 0 = 4*t + 4*o - a. What is the hundreds digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tttsggjjgjtgt. Give prob of sequence ggs.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/39)\/((-4)\/24)?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12 - 58*g**2 + 12)*(-4*g + 4*g - 2*g**2) - 5*g**2 + 5*g**2 + 2*g**4 - 41*g**3 + 8*g**4 + 41*g**3.\nAnswer: 126*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42*c = 28*c + 84. Solve 12 = c*k - 6 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 126 minutes before 12:46 AM?\nAnswer: 10:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -4*m**3 + 6*m**2 - 32*m - 9. Calculate k(4).\nAnswer: -297","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*t**4 + 4*t - 4*t + 0*t**2 + t**4 + 0*t**2 + (0*t**3 + 4*t**3 - 2*t**3)*(-2*t + 2 - 2) + (2*t**2 + 3*t - 3*t)*(1332 - 1332 - 244*t**2).\nAnswer: -493*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7819?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4173*k**2 + 603*k wrt k.\nAnswer: -8346","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 44653517327 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 581 minutes after 5:44 AM?\nAnswer: 3:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:38 AM and 6:38 PM?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a microgram in nanograms?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-44)\/(-12) - (0 - -4)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (1 + 41)*3*2\/(-300) and -1\/13.\nAnswer: 325","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 158 is divided by 9?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 15821632499 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 11*q + 5. Let n(r) = 2*r + 15. Let v(j) = -9*j + 3*j + 5*j - 19. Let h(t) = 4*n(t) + 3*v(t). What is -3*a(p) + 5*h(p)?\nAnswer: -8*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -988 + 0?\nAnswer: -988","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -396\/127 or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1829, 2460, 3093, 3728, 4365, 5004?\n\"Answer: j**2 + 628*j + 1200","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 3*v**2 + 8*v - 5. Let q(d) = d**2 - 1. Let o(x) = -2*q(x) + t(x). Determine o(-9).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 2*v + 3 + (0 + 1 - 3)*(-3*v + v + v))*(26 + 66*v - 26)*(-18 + 4*v + 18) - 3*v + 3*v + 5*v**3.\nAnswer: 1061*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 130864.8t?\nAnswer: 130864800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 10? (a) 2 (b) -23\/41 (c) 13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -495*o - 328*o + 1002*o - 275*o.\nAnswer: -96*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 154 times -0.083?\nAnswer: -12.782","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 3*s**2 - 29*s - 46. Calculate m(11).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s - 3. Let p be z(-6). Suppose -c = -p*c - 4. Let i be (-50)\/(-15) + c\/6. Solve -2*l + 6 = -i*v, 7*l - 4*l = 3*v + 6 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 415 and 944623?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -27*c**2 + 3*c - 3. Let z(a) = 8 - 127*a**2 + 32*a - 17*a**2 - 152*a**2 - 40. Give 32*r(j) - 3*z(j).\nAnswer: 24*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1116 - 426. What is the units digit of v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the second derivative of -4*k**5\/5 - k**3\/6 + k**2\/2 + 3*k. Let u be g(1). List the prime factors of 120 - (-1 + 1)*(-8)\/u.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6.13 - 1.13. Put -5, h, -14 in descending order.\nAnswer: h, -5, -14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -13 + 27 + (-47 + 54 - (-58)\/1)?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 11*q**6 + 9*q**3 - 191*q**2 wrt q.\nAnswer: 1320*q**3 + 54","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 27 and -185279.\nAnswer: -5002533","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.105 take away -5604?\nAnswer: 5604.105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*(sqrt(432) + 0 + sqrt(432)) + (sqrt(432) + (sqrt(432)*1 - sqrt(432))*1 - sqrt(432)) + -5 + -1)*-2 + -4)**2.\nAnswer: 4608*sqrt(3) + 248896","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-16)\/(-10))\/(6\/(-10))*1578\/(-1052)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ac46 (base 13) in base 2?\nAnswer: 101110111111000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.5 from -165233.6076.\nAnswer: -165234.1076","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out 12 * -4055798.\nAnswer: -48669576","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -163438 = -7*y + 65511. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6 - 25 - 4)*(-1 + 2 + 2)*(3*s - 3*s - 2*s**2) as j + v*s + a*s**2 and give a.\nAnswer: 210","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*x + 23*x - 10*x = 0 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = g + 1. Suppose -18 = -3*l - 3*v, 5*v - 22 = -4*l + g*v. What is the remainder when l is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5294 a factor of 1644056994?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 298 = -5*w - 0*w, -3*w - 5*j = -185. Suppose w = -5*x + x. What is the units digit of 1\/(12\/x - -1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -3*n**2 + 10*n - 3. Let d be ((-1)\/3)\/((-2)\/12). Let m(y) = y**2 + y**2 + 0*y**2 + d - 5*y. Let k(v) = 3*a(v) + 5*m(v). What is k(-4)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5114?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 491397?\nAnswer: 3, 19, 37, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = 25, -2*a + 136 = -5*j + 39. Suppose -a = -2*v + 2*u, -5*v + 31 = 2*u - 45. Solve -7*o - v = -3*o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1*-269\nAnswer: 26.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 402 minutes before 9:07 PM?\nAnswer: 2:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -65 (b) -0.2 (c) 0.1 (d) 2\/5 (e) 6 (f) 3.4 (g) 1\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.214828 micrograms in nanograms?\nAnswer: 6214.828","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -513*s - 10258. Let f be u(-20). Factor 1\/4*z**4 + z**3 + 12 - 10*z - 13\/4*z**f.\nAnswer: (z - 3)*(z - 1)*(z + 4)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 88 - 84. Suppose 5*u + i*u - 18 = 0. Which is smaller: 2\/113 or u?\nAnswer: 2\/113","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = -12, 8*q - 4*q = 3*v + 620. Does 5 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -25108.94 and -1.\nAnswer: 25108.94","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 12*j + 4. Let d be n(1). Suppose -4*s = -o + 4, 4*o = s + s + d. Suppose -3*p + s = -3. Which is the biggest value? (a) p (b) -2 (c) 2\/49\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3154 (base 6) to base 16\nAnswer: -2ce","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*f**3 + 24225*f**2 + 29257560*f - 205991660.\nAnswer: 5*(f - 7)*(f + 2426)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p + 9. Let a be b(-7). Let o be 2\/4*(0 + 0). Solve -10 = -3*l - k + a, 4*k = o for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-69)\/35259*-73)\/(((-2)\/(-7))\/((-2)\/(-31)))\nAnswer: 1\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -v - 1. Let h be t(8). Let l(x) = x**3 + 16*x**2 + 8*x + 13. What is the units digit of l(h)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (169*n - 267*n - 257*n)*(2*n - n + n) - 3*n - 3*n**2 - 2*n + 3*n.\nAnswer: -713*n**2 - 2*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 20622668854 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 74?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 bigger than -2\/4251?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -50304, -51037, -51770, -52503, -53236, -53969?\nAnswer: -54702","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 1944*s + 1474. List the prime factors of j(5).\nAnswer: 2, 29, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*o**2 + 518*o + 639*o - 1157*o.\nAnswer: -15*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 69644*d + 69409*d - 50150 = 139643*d for d.\nAnswer: -85","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hh when two letters picked without replacement from hhhh.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -704, -703, -700, -695, -688?\nAnswer: -679","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 17064 and 92.\nAnswer: 392472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1496331 = 5104*b + 16825*b + 1124433 - 1908718 for b.\nAnswer: 104","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + g + 3*q - 9 = 0, 2*g - q = -3. List the prime factors of -1 - (1 - (34 + g)).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r, 1 i, and 1 e when three letters picked without replacement from {l: 1, i: 3, r: 3, e: 4}?\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -117198, -117201, -117208, -117219, -117234, -117253, -117276?\n\"Answer: -2*g**2 + 3*g - 117199","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1\/2633 - 5263\/7899. Which is the smallest value? (a) -1.1 (b) 0.04 (c) 2 (d) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -491*m + 670 + 312 = 0 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dplhzdhzk. Give prob of sequence zkl.\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z**(-8)\/z)\/z**(2\/23))\/(z\/(z*z**10)*z*z**10*z))**(-49) assuming z is positive.\nAnswer: z**(12495\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 15\/2 + (-1)\/(-2). Let l(u) be the second derivative of u**4\/12 - 4*u**3\/3 + 9*u**2\/2 - 2655*u. Determine l(q).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2.62 + 1.81. Let n = -63.81 - y. Let j = -63.0017 - n. What is j rounded to 3 dps?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -406*z**3 - z**2 + 791*z**3 + 5*z**2 + 4308*z - 4*z**2 - 387*z**3.\nAnswer: -2*z**3 + 4308*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3417? (a) -0.052 (b) 30 (c) -3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10169 + 320550 = -508*w + 5185*w - 31040 for w.\nAnswer: 73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1022 - 5?\nAnswer: -1027","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -110*w + 7. Let l(r) = -110*r + 9. Give -5*i(g) + 4*l(g).\nAnswer: 110*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -106 - (-196)\/4 - -100?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 6 + 2)*(-5969*c + 3193*c + 5723*c) to the form y*c + l and give y.\nAnswer: -5894","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 130 - -4763.486?\nAnswer: 4893.486","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(20) - sqrt(20)*2)**2*-6.\nAnswer: -120","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -5, 4, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*q**4 - 69087743*q**3 - 3276744537*q**2\/5 - 8217531977*q\/5 - 417686762 = 0. Calculate q.\nAnswer: -23\/5, -2\/7, 1973945","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -20850*d + 20855*d - 5*h + 59 + 36, -9 = 15*d - 3*h for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6235.448 + -6208. What is p rounded to 0 dps?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 676 minutes after 6:20 AM?\nAnswer: 5:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 53*j - 1 + 126*j + 1 + 41*j - 228*j + 77*j.\nAnswer: 69*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 155311626?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-two fifths of a litre in millilitres?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 694?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 162 is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2 + 31?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 18649?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 14 + -10. Suppose -m*v + 2*q - 1 = 3, 0 = -4*v - 4*q - 28. List the prime factors of (-135)\/v - (-16)\/(-4).\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 3*l. Let a(p) be the third derivative of p**4\/6 - 13*p**2. Let x(r) = 2*a(r) - 3*y(r). Give x(0).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 364998289 to the power of 1\/7, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -33978 + 33974. Let i(b) = 22*b + 111. Give i(l).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -39 - -119. Suppose 3*j - 8 = -2*p, p - 4 = -j - 0. Suppose -2*y - p*y + 60 = 0. Calculate the highest common divisor of y and z.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y = 5*r + 30, -4*r - 402 = -5*y - 365 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 832 and 448?\nAnswer: 5824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -387 greater than -6567\/17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 44924, 89869, 134814, 179759, 224704?\nAnswer: 269649","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the third derivative of 5*x**4\/8 - x**2. Let r(n) = -n. Calculate b(r(t)).\nAnswer: -15*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 133 (base 5) in base 8?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 60 is divided by 49.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4809 * -90.\nAnswer: -432810","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (2 - (7 - (3 - 2))) + 7\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1\/(-4) + 0 + 0. Let g = -10.3 + 10. Which is the nearest to 1\/4? (a) -4 (b) s (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-14)\/3)\/((5588\/(-330))\/127)?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -4215909 plus -364?\nAnswer: -4216273","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4.5 + 4. Let t = 0.2 + s. Let c = t - 0. What is the biggest value in 0.5, 2\/17, c?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -o**3 + 15*o**2 + 15*o + 21. Let v be n(16). Solve -v*q + 4 - 19 = 0 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 65\/482 and 31\/40940.\nAnswer: 9866540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (0 - -3) + 3 + (-6 - 1)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 424*r**5 - 10*r**2 + 2*r?\nAnswer: 25440*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -5 (b) 2 (c) -794\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.08757 at most -13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = z**2 + 6*z - 2. Let f(l) = l**3 - 4*l**2 - 7*l + 4. Let n(r) = -r**2 - 9*r - 13. Let q be n(-6). Let g be f(q). Calculate t(g).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -70\/351 and -83\/6615.\nAnswer: 85995","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = 2*z - 6, -3*p - 2*p - 15 = -z. Let s(m) = 516693594 - 516693594 + m. Give s(z).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 57480690.\nAnswer: 2, 3, 5, 1916023","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.1 - 1. Let q = 13643\/5 + -2728. What is the third smallest value in z, 0.9, q?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1053 and 39?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 2400 from -13855839.\nAnswer: -13858239","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(180) + 4 - 5*(sqrt(180) + -1))**2.\nAnswer: -384*sqrt(5) + 2944","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 5, -9, 3.\nAnswer: -9, -3, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1773\/6*32\/6. Let x be d\/36 - (-2)\/9. Let j = 38 - 27. What is the highest common divisor of j and x?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*h**3 + 2*h - 2*h)*((-3 + 3 + 2)*(2*h - h - 3*h) + 3*h - 9*h + 0*h) + 2*h**4 - h**4 - 3*h**4.\nAnswer: 18*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -787*w - 9896. What is t(-12)?\nAnswer: -452","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 12816 a multiple of 86?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 9 and 67914.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 89893182?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*g**4\/4 - 1135*g**3\/4 - 1753*g**2\/2 - 150*g = 0.\nAnswer: -100, -3, -2\/11, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5958235503?\nAnswer: 3, 11, 6687133","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -m**2 + 6*m - 3. Let r be c(5). Suppose -3*a - w + 88 = 4*w, 4*a = -r*w + 94. Calculate the remainder when 62 is divided by a.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 + 6 = -2*s. Let k = -1 - s. Let l be 6\/(-28) + k\/2. Put l, 4, -4 in decreasing order.\nAnswer: 4, l, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2020?\nAnswer: 2, 5, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -1. Let p(c) = -2*c**2 - c + 4. Let j(k) = -p(k) - 4*x(k). Let d be j(1). Suppose -20 = -d*b + b. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-6)\/8 + 39\/52. Let f be 2 - 3 - (2 - 1). Sort f, r, -1 in descending order.\nAnswer: r, -1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aaacaaaaahahhaaa. Give prob of picking 3 h and 1 c.\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 36\/(-351)*405\/(-90)?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-425)\/(-10) + (-1)\/(-2). Let q = 71 - a. What is the highest common factor of q and 308?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 183268027?\nAnswer: 183268027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -148 divided by -7876\nAnswer: 37\/1969","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that 128*j**4 + 8964*j**3 + 49816*j**2 - 1263348*j - 39528 = 0.\nAnswer: -61, -18, -1\/32, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -73*f**2 - 3*f**3 - 53*f**2 + 126*f**2.\nAnswer: -3*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + sqrt(2057))*-3*-2)**2.\nAnswer: -1584*sqrt(17) + 74196","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 + 1 - 2) + (15 - 20).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 359865930?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = 2*a - 0*i - 206, 5*i = 2*a - 206. Suppose 5*x - 150 = -s, 4*s - a = -4*x + 465. List the prime factors of s.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 2\/47 (b) -2\/9 (c) 70\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 3267 + 8*j**2 - 3204 + 2*j**2 - 51*j. Is k(22) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -o**2. Let z(v) = 40 - 21 - 8 - 2*v**2 + 13*v**2. Give z(c(r)).\nAnswer: 11*r**4 + 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 9750 by 1950.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7 - -1. Let y = 2 - m. Suppose 3*j + y = 71. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i + 3*i - 2*j + 9 = 0, i + 46 = 1085*j - 1076*j for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (39\/4)\/((-270)\/(-108) - 338\/104)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 34 = 5*a, 4*a + a + 70 = 5*w. Suppose -4*k = -w, -2*z = 4*k - 0*k - 6. Let l = 15 + z. Does 6 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 76 + -79. Put 1, b, 49 in decreasing order.\nAnswer: 49, 1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 47\/1764 and -68\/45?\nAnswer: 8820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -16 - -30. What is the remainder when 45\/3 - (p - 10) is divided by 5\/((-40)\/(-84))*(-20)\/(-35)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*w**2 - 8106942*w - 5476875715947.\nAnswer: -3*(w + 1351157)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t - 13 = -c, 5*c + 21 = -t + 8 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w - t - 15 = 0, -w - 13 = -5*w + t for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-42 - 2 - -49) + 53\/11. Suppose c*x - 102\/11 - 6\/11*x**2 = 0. What is x?\nAnswer: 1, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/22, 0.1, 4918, 0.05, 3, -1 in increasing order.\nAnswer: -1, 1\/22, 0.05, 0.1, 3, 4918","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19091.1*0.5.\nAnswer: -9545.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 84 and 189?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that 2*s**5\/9 - 76*s**4 - 154*s**3 + 3428*s**2\/9 + 1376*s\/3 = 0.\nAnswer: -3, -1, 0, 2, 344","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11*(51\/(-6) - (-1408)\/256).\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1 + 4\/(-6) - (-21259)\/(-21). Let m = -192 - t. What is m rounded to the nearest one hundred?\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33168511 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -2*c - 2. Let r(j) = 1. Calculate -6*a(q) - 12*r(q).\nAnswer: 12*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 - ((0 - -28) + 3)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(1\/4))**(-46)\/((u\/u**(-1\/3)*u)\/u)**(-7\/13))**(1\/14) assuming u is positive.\nAnswer: u**(-841\/1092)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 5*m + 2. Let c(l) = -l**2 - 60*l. Determine c(v(d)).\nAnswer: -25*d**2 - 320*d - 124","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 - ((-4)\/48 - (-2487)\/(-396)).\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-16)\/(-40))\/((-1)\/5). Let f = -5 - -2. Let n be 2\/(q\/f*3). Solve i - 4 = -n for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 392*c**4 + 210*c**4 + 39 + 298*c**4 - 137 wrt c?\nAnswer: 3600*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 0*f + 1 + 1 + 0 - f**3 + f. Let w be g(-2). Suppose 0*t + w = -2*t, -3*y + 3*t = -12. Put 3, y, 5 in descending order.\nAnswer: 5, 3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the third derivative of -o**6\/120 - o**5\/10 - 5*o**4\/24 + o**3\/3 + 4*o**2. Let n be q(-4). Let h = -4 - n. Is 5 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 - (0 + -2 + -2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -727, -1450, -2157, -2842, -3499, -4122, -4705?\n\"Answer: b**3 + 2*b**2 - 736*b + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1262\/301 - -168\/43. Which is the nearest to x? (a) -3 (b) -8 (c) 3\/10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 90*b**3 - b**2 + 3*b - 2. Suppose 10*k = 37 - 27. Let r be q(k). Calculate the greatest common divisor of 18 and r.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s = 4*c - 8, 3*s + 0*s = -c for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -212*i - 5. Let q(c) be the first derivative of c**2\/2 + 2*c + 10. Let s be q(-4). Is h(s) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2*(-48)\/56)\/((-37)\/(6216\/48))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -89*n**3 + 481171 - 481171.\nAnswer: -89*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -0.3, -0.046, 1\/9, 4\/5, 789, 3, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -56\/351 and -97\/266292.\nAnswer: 798876","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the first derivative of -457*t**7\/7 + t**3\/3 + 24*t - 939. What is the third derivative of d(w) wrt w?\nAnswer: -54840*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 136*n - 75*n - 66*n - 10*n**2.\nAnswer: -5*n*(2*n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 90*g - 93*g + 15*a + 27, -13 = -4*g - 3*a for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = -3 - 6. Let j = w + 5. Solve 0 = z + j*b + b - 17, 5*z = -b + 29 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 129?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1602 and 469475?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.351 times -1.6245?\nAnswer: -0.5701995","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = v. Let i(l) = 13*l**2 + 11*l + 11. Let f(j) = -7*j**2 - 6*j - 6. Let t(k) = 11*f(k) + 6*i(k). Give b(t(c)).\nAnswer: c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is sixty-four fifths of a millimeter in micrometers?\nAnswer: 12800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 v when two letters picked without replacement from {m: 1, v: 1, j: 1, c: 6}?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45*s - 203 = -23 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 1 - 5)*(t - 2*t + 3*t)*(3 + 7 + 4).\nAnswer: 28*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 689948 and 656082?\nAnswer: 574","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = m**3 + 19*m**2 - 88. What is the remainder when s(-14) is divided by 236?\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.762 - -23.238. Let y = 46.0085347 + -70.00853334. Let z = y + t. What is z rounded to seven dps?\nAnswer: 0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 4632*c + 42. Let l(t) = -t - 7. Determine 6*l(x) + m(x).\nAnswer: 4626*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 63 and 27?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 2 - 2)*(-6*y - 5 + 5)*(47 - y - 47) as d*y + g + c*y**2 and give c.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u**2. Suppose 17*o + 20*o - 46 = 28. Let p(q) be the second derivative of 0*q**2 + o*q + 5\/6*q**3 + 0. What is r(p(y))?\nAnswer: 25*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*-6*(sqrt(77) + (sqrt(77)*-4 - sqrt(77)) - sqrt(77)))\/(4*sqrt(539)*6).\nAnswer: 5*sqrt(7)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 23 + -27 - ((3 - 6) + -3).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(-11)*(-12)\/6?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 512496?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -2*l, -24835 = n + 3*l - 141612. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 171 minutes after 7:48 AM?\nAnswer: 10:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -468 - -514. Let l = 206 - 196. Calculate the remainder when y is divided by l.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10010202000112 (base 3) to base 11.\nAnswer: a3a193","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*a = 3*a + 27, 32*a = n + 31*a - 96 + 84 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1705 and 145?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2*6\/36 - 17\/(-3). Let q(h) = h**2 - 4*h - 2. Give q(v).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -303*f**2 + 1869 + 1871 + 1873 - 5613.\nAnswer: -303*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = h + 1. Let x(u) = -u + 1. Let s be x(-1). Let y be n(s). Suppose y = -3*z + 6*z. Are z and -0.02 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 75 - -5?\nAnswer: 7a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + -9 - (20 + 18 - 44).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 36*b*k**6 - 181*b*k**2 - 4*k**6 - k**2 wrt k.\nAnswer: 4320*b*k**3 - 480*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 80*a**2 - 684*a + 216. Let p(b) = 9*b**2 - 76*b + 24. Let t(r) = 28*p(r) - 3*q(r). Suppose t(m) = 0. Calculate m.\nAnswer: 1\/3, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2872\/7 - 1444\/7*b + 4\/7*b**2.\nAnswer: 4*(b - 359)*(b - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that 5*f**5 + 1831240*f**4 + 27467670*f**3 + 71415620*f**2 + 67753165*f + 21973980 = 0.\nAnswer: -366233, -12, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 2, u: 6, h: 4}. What is prob of picking 1 p and 3 h?\nAnswer: 8\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q + 5*q + 3*q + 14 + 16 = 0, 3*j - 26*q + 55*q = 26*q - 21 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4014 and 224338?\nAnswer: 2019042","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 60958.28 litres in millilitres?\nAnswer: 60958280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 5 + (6*sqrt(18) - sqrt(2) - sqrt(10)\/sqrt(45) - (-1 + -1*sqrt(2)*-1))**2.\nAnswer: 94*sqrt(2)\/3 + 4454\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (0 - -10)*(-24)\/(-60). Let v(l) = l**2 + 2*l + 3. Determine v(r).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 69600 and 7685.\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1929311303 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, -25598, 0, -56, -2.\nAnswer: -25598, -56, -9, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v\/(v**(-1\/5)\/v*v))*v**(-6))**(-40\/3)\/(((v**(3\/2)*v)\/(v\/((v\/(v**(-1)*v))\/v)*v))\/(v**(-1\/8)*v**(-5)*v*v)) assuming v is positive.\nAnswer: v**(1897\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = 4 - 114. Let r be ((-4)\/y)\/(2\/4). Let u = -451\/307 + 4673\/2763. Which is the second smallest value? (a) r (b) u (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 2*p**2 + 2*p**2 + 0*p**2 + 2. What is i(2)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 583 minutes after 1:41 AM?\nAnswer: 11:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -2*p**3 + 5*p**2 + 5*p - 2. What is k(3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 - (-18 - (9 + -14))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*p + 2*v - 21, -13*p + 22*v = -25*p + 13*p + 61 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -8 + 5. Let p = 0.08277 + -10.08277. Which is the nearest to -0.1? (a) p (b) 0.4 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -71696*d**3*u**3 - 600*d**3*u + 6*d**2*u**3 + 7*u**3 - 19784*u**2 wrt u.\nAnswer: -430176*d**3 + 36*d**2 + 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -21 + 3 + -15 + (-11 - -30) + -14?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4 - -7. Solve 5*f - 4 = i for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vcoo when four letters picked without replacement from {o: 9, c: 1, v: 4}?\nAnswer: 12\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a kilometer in meters?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -165 + 655. Let p = g - 489.96. Sort -26, 2, p.\nAnswer: -26, p, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 1, 91, -3, -2, -4?\nAnswer: 91","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 9551408 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 4*w = 0. Let g be 22\/(-14) + 2 - 2. Let l = 76\/35 + g. Which is bigger: w or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 269030333?\nAnswer: 11, 13, 23, 157, 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -83? (a) -5 (b) -2\/5 (c) -0.1 (d) -2 (e) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -48*z**2 + 76*z - 27. Let x(s) = -16*s**2 + 25*s - 9. Let l(w) = -3*t(w) + 8*x(w). Let r(i) = -i. Let u(c) = -l(c) + 4*r(c). Factor u(f).\nAnswer: -(4*f - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -21 - 12 + 31*x - 20 + 76 - 7 - x**3. What is the tens digit of t(-13)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 963 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: Collect the terms in 335*j**2 - 160*j**2 - 177*j**2.\nAnswer: -2*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (u - 5 + 5)*(-11*u**3 + 8*u**3 - 15*u**3).\nAnswer: -18*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 194 times 0.422\nAnswer: 81.868","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 370 or 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -36438\/23491 at least as big as -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3156*t + 7 = 2*r - 3153*t, 4*r + 2*t = 18. Let i(g) be the first derivative of -37 + 0*g + 5\/4*g**4 - r*g**2 - 5\/3*g**3. Suppose i(h) = 0. Calculate h.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-4)\/(-2))\/(128\/20 - 4). Which is smaller: 2 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6137?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 198687493?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 73129 = 2660*s - 17921 - 2050 for s.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 827 = 3*y, u + y = 6*u - 2110. Suppose 6*x - 233 = u. List the prime factors of x.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -8*p + 32. Suppose -4*j - 2*c = -22, 3*j + 0*c = 4*c. Calculate y(j).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 29\/68 and (564\/376)\/(12\/(-41))?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 327141 is divided by 33.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 36524 is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-l**2 + 4*l**2 - 19*l**2)*(-1 + 2 + 1).\nAnswer: -32*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 84 and 486318.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = c**3 + 20*c**2 + 20*c + 16. Let j(i) = 2*i**2 + i. Let p(u) = b(u) - 6*j(u). Let k be p(-6). Solve -k*s - 5 = 5*d + 5, -2*s - 2*d - 4 = 0 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -h + 7*h - 6. Let j(k) = -12*k**3 + k**2 - 1. Determine j(h).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 36141784 or 289134263\/8?\nAnswer: 289134263\/8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*y = -y - 26. What is the closest to 0 in -1, -4, y, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/49? (a) 2 (b) -3 (c) 472\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, 33, -27\/166 in decreasing order.\nAnswer: 33, -27\/166, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1100110001010 + 111?\nAnswer: 1100110010001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 4*b + 375. What is g(43)?\nAnswer: 547","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -2*l - 1. Suppose -b = -2*b - 2. Let f be t(b). Suppose 2*r + 4*a = -1 + 23, f*r = 3*a + 69. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*x**4\/4 - 303513*x**3\/4 - 910521*x**2\/4 - 910515*x\/4 - 75876.\nAnswer: -3*(x + 1)**3*(x + 101168)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v*v\/(((v\/(v*v**(-2\/57)))\/v)\/v))\/(v\/(v*v\/(v*v*v*v**(2\/51)*v*v))*v*v*v)*v**(19\/6)*v**27*v assuming v is positive.\nAnswer: v**(56381\/1938)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 683517881 a multiple of 2120?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aeeeedoje. What is prob of picking 1 e and 1 o?\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -j**3 + 15*j**2 + 34*j - 1. Let y be 2\/(-8)*-67 + (-3)\/(-12). Let g be c(y). Let d = 855\/8 + -107. Which is greater: d or g?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -d4 + cb35?\nAnswer: ca51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 12 = t, 0 = -5*b + 3*t + 6. What is the units digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 113202 + -3?\nAnswer: 113166","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*i**3 + 14988*i**2 - 164384*i.\nAnswer: -4*i*(i - 3736)*(i - 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + sqrt(33)\/(sqrt(11)*3) + -4.\nAnswer: -7 + sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.05 take away -419179?\nAnswer: 419179.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 5*r - 15 = 0. Suppose i + 5 + 4 = 2*f, -r*i = -2*f + 5. Let u be (-10*(-3)\/6)\/(-4 + f). Solve -u*y + 4 = 14 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 0 + 22123132130000?\nAnswer: 22123132130000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -17, -30, -57, -104, -177, -282, -425, -612?\nAnswer: -849","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = -0*h - 5*h + 38, -4*h = 2*y - 26. Let v = 14 - y. Solve v = -2*s - 7 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -30502 (base 6) in base 8?\nAnswer: -7746","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 214704\/112 - (-1 + 15) and 2.\nAnswer: 3806","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51*j + 719 = -27*j + 17 for j.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1 (b) -0.5 (c) 4 (d) -40\/23\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -8 - 0. Let f be ((-12)\/j)\/((-2)\/(-4)). Solve -f*v = -0*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 3195*l + 437906. Calculate d(-137).\nAnswer: 191","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = d**3 + 7*d**2 + 6. Let x be q(-7). Let f be 13\/x - (-1)\/(-6). Solve f*i - 16 = -s - 2*s, -5*i + 23 = -s for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qianc. Give prob of picking 1 n and 1 q.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 45\/(-10) - (-1)\/4*-10.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 38451 to the power of 1\/6, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -27 - -37 - 23 - (47 + (-6 - 2))\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53*j = 42*j + 42713. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 3*f**2. Let p(v) = 5*v**2 + 0*v**2 - v**2. Suppose -161*c = 4*n - 166*c - 30, n + 4*c = -3. Calculate n*p(j) - 6*a(j).\nAnswer: 2*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of c**5 - 5*c**4 + 6407*c**2 + 4610324*c.\nAnswer: 20*c**3 - 60*c**2 + 12814","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) be the second derivative of i**8\/560 - i**7\/315 - i**6\/60 + i**5\/15 - 17*i**4\/12 - 9*i. Let j(y) be the third derivative of x(y). Solve j(l) = 0 for l.\nAnswer: -1, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2667 divided by -3\nAnswer: 889","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 518, -5, -1, 3 in decreasing order.\nAnswer: 518, 3, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 11745805133 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the first derivative of -38*s**5\/5 - 7*s + 15. What is the first derivative of l(b) wrt b?\nAnswer: -152*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 180 = -4*j + 16, -c - 77 = -3*j. Let z = -28 - c. List the prime factors of z.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**2 + 45*n + 1656.\nAnswer: -(n - 69)*(n + 24)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*w + 167 = 47. Let o be -1*2*(8 + -10). Put -4, w, 5, o in increasing order.\nAnswer: -4, o, 5, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(448) - (2*(sqrt(448) + -1) - sqrt(448)))**2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1446476, -2892953, -4339430, -5785907, -7232384, -8678861?\nAnswer: -10125338","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 28409?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -150 divided by 50\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the second derivative of -x**5\/5 + x**4\/4 + 5*x**3\/6 - 5*x**2\/2 - 13*x. Let a(i) = 5*i**3 - 4*i**2 - 6*i + 6. Determine -3*a(q) - 4*s(q).\nAnswer: q**3 - 2*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-10)\/(-12)*(-4 - (-248)\/80). Which is smaller: -0.072 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**17*t\/(t\/(t*t**(4\/3)\/t))*t)\/((t*t**(-4\/9))\/t**(10\/7)) assuming t is positive.\nAnswer: t**(1273\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 21*d + 7 = 22*d, -2 = 4*v - 2*d. Solve -5*z - 3*x = -34 + 5, v*z = -4*x + 20 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xz when two letters picked without replacement from xvrvyzzr.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (90\/12)\/((-2)\/(-8)). Calculate the highest common factor of 210 and h.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 10*x. Let r(t) = -t**3 + 4*t**2 - 4. Let g be r(3). Suppose -2*l - 1 + 5 = -y, 0 = g*l - 4*y - 13. What is the least common multiple of 6 and z(l)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -9 + 15. Suppose -j = -x - 0*x. What is the units digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4903*n**3 - 40661*n**3 - 2 - 8 + 10.\nAnswer: -35758*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.113 - -0.1211. Round n to three dps.\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 43 and 559.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 308616 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -7, -19, -33, -49, -67, -87, -109?\n\"Answer: -o**2 - 9*o + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 4*x - 24 = 76, 2*x = -q - 20. Let f be ((-1)\/3)\/((-2)\/q). Which is the closest to 1\/6? (a) f (b) 0 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/10 of a gram in milligrams?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 9570421 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 + (-1)\/5)\/((-10)\/(-30)).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z*z**0))**49\/(((z**(-6)\/z)\/z*z)\/(z\/(z*z\/(z**6\/z)))) assuming z is positive.\nAnswer: z**11","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2b4a - -8b?\nAnswer: 2bd6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 417886288?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 118 + -81. Is 10 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1189?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 185.6 + 554248926\nAnswer: 554249111.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (3 - 72\/28)*5. Let t = -63 + 63. Suppose -o = -4*i + 5*i, 5*o + 10 = t. Which is smaller: i or y?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = -5*d + 90, 2*r = -116*d + 106*d + 210 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12\/7*r + 18\/7 + 2\/7*r**2 = 0. Calculate r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) be the third derivative of -p**6\/480 - 37*p**5\/30 + p**4\/24 + 148*p**3\/3 - 3218*p**2. Find y, given that u(y) = 0.\nAnswer: -296, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -o - 5. Let n(t) = 344*t + 28. Calculate -6*j(a) - n(a).\nAnswer: -338*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yymywyymyyejey. What is prob of sequence wej?\nAnswer: 1\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*h + 5*v + 9, 6*h - 3*v = h + 13. Find c, given that -c**3 + 23*c**2 - 29*c**h + 17*c**2 + 25 - 35*c = 0.\nAnswer: 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*q - 2 = 2*z - 14, 0 = -z - 6*q + 3*q + 6 for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Product of 23.62 and 0.01716.\nAnswer: 0.4053192","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = l + 7 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 2*m + 3 = 0. Let f = m + 6. Suppose -3*j + f = j + 3*v, -5*j + 7 = 2*v. Solve i + 5 = j for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 25 = 5*u, 2*u + 16 + 2 = 2*i. Solve 4*g = -4*k, 41 - i = 5*g - 4*k for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dml when three letters picked without replacement from mmldmlldmdddddddl.\nAnswer: 3\/85","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1, -0.2, 0, 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 10 - 45 = 0. Let q be -1*(6 - 4)*c. Suppose q + 31 = -z. Round z to the nearest ten.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3 + 192?\nAnswer: 195","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*t - 12 - 3. Solve -a + 0*a = -t for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -527*t - 250*t - 14763 for t.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 2*u - 62 = -5*q, -5*u = 5*q - 290. Suppose f + v = -3*f + u, -v + 5 = 0. Calculate the remainder when 25 is divided by f.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -928*h + 1863*h - 935*h - 21*h**2.\nAnswer: -21*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 15 = 65. Let d = -17 + o. Which is smaller: -2 or d?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1898227 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 35754, 142995, 321724, 571941, 893646, 1286839, 1751520?\nAnswer: 2287689","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -g**3 - 12*g**2 + 13*g. Let n be z(-13). Let j be 0 - 3\/(-3 - n). Let f(l) = 24*l**2 - 1. Calculate the remainder when 91 is divided by f(j).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 4*m - 15 - 1 = 0, 3*m = d - 4. Find t, given that 0*t + 0*t**d - t**3 + 2\/3*t**2 + 1\/3*t**5 + 0 = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the first derivative of -1\/4*n**2 + 1\/8*n**4 + 3 + 0*n**3 + 0*n. Suppose m(c) = 0. What is c?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 798, 814, 834, 858, 886, 918?\n\"Answer: 2*k**2 + 10*k + 786","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*-2*sqrt(539)*3)**2.\nAnswer: 485100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 21792*k - 21796. Calculate y(1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the third derivative of 0 + 0*x - 1\/80*x**6 + 1\/120*x**5 + 0*x**3 + 0*x**4 + 4*x**2 + 1\/140*x**7 - 1\/672*x**8. Factor i(a).\nAnswer: -a**2*(a - 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -623 by 89.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 209167734 divided by 186258.\nAnswer: 1123","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 21028565.911 to the nearest 100000.\nAnswer: 21000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6 in -5, 1\/8, -3, 1\/5, 2\/1665?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1.8 + -0.8. Suppose -4*o + 12 = 0, 2*t + t + o + 78 = 0. Let h = t + 32. What is the nearest to b in h, 0.5, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-14)\/(-8)*-2*144\/(-63)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = c. Let a(y) = -2 - 9*y + 15*y - 12*y. Give a(l) + 4*d(l).\nAnswer: -2*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2177969 in -0.1, 5, 0.3, 1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24 - (10 + -4) - 14 - (0 - -1).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 14457009 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 15, -21, 3 in increasing order.\nAnswer: -21, 3, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -60 less than -1600\/27?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2 + 2\/(-3))*-9. Suppose 2*s - 5*j - 23 - y = 0, -24 = -s + 3*j. Calculate the greatest common factor of s and 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/5, 4, 0.2 in descending order.\nAnswer: 4, 0.2, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Do 6838964\/5 and 1367793 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 612.004ns in milliseconds?\nAnswer: 0.000612004","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 258*v - 772*v + 263*v + 255*v.\nAnswer: 4*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*u - 40 = 5*p, 12 = -1437*p + 1433*p + 4*u for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 799495559?\nAnswer: 799495559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence br when two letters picked without replacement from irbijilirjrjjjjii.\nAnswer: 3\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 minus 132014.89291?\nAnswer: -132015.09291","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 17211227, 17211226, 17211225, 17211224, 17211223?\n\"Answer: -q + 17211228","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5*d*p**2 + 11571*d + 3*p**2 + 460*p - 2 wrt p.\nAnswer: -10*d*p + 6*p + 460","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 0.0762351s?\nAnswer: 76.2351","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 115 minutes after 12:03 AM?\nAnswer: 1:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 2*c - 465 = -7*c, -s - 2*c + 156 = 0. Suppose 0 = 4*l - l - s. Let y be ((-912)\/(-20))\/(4\/l). What is y rounded to the nearest one hundred?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.15, -0.1, 21 in descending order.\nAnswer: 21, 0.15, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4741 (base 10) to base 2.\nAnswer: 1001010000101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -2\/251379 (b) 0.3 (c) -29 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -36 + 30 + (-1 - (3 + -1)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-4)\/(-18) + (-104)\/(-18). Solve l = g*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 27*y**2 - 3 - 256*y**2 + 3 - 4659*y + 4660*y in the form q + c*y**2 + z*y and give c.\nAnswer: -229","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -7 - 242?\nAnswer: -250","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 57841 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1567876?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-1\/2)\/(p\/p**(-7)))\/(p**2*p*p*((p*p**(2\/9))\/p)\/p) assuming p is positive.\nAnswer: p**(-211\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (3 + -5)\/((-2)\/112). Let v = 327 - 329. What is the tens digit of v\/6 + 1 + x\/3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:07 AM and 12:02 PM?\nAnswer: 235","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 t when two letters picked without replacement from {y: 2, t: 5, z: 2, d: 3}.\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = f**3 - 2*f**2 + 5*f - 24. Let p be j(3). Suppose 11*b - 10*b - 2*a = 1041, p = b - 5*a - 1038. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 14*r - 272. Let s be q(19). Let w be 1972\/(-24) - 2\/(-12). Which is smaller: s or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 l when two letters picked without replacement from {l: 4, u: 2, h: 1, b: 1}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1494 and 282117?\nAnswer: 249","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7 - 10. Let w(k) be the second derivative of -k**4\/12 - k**3\/2 + 2*k**2 - 2*k. Let b be w(h). Sort b, 3, -5.\nAnswer: -5, 3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vnn when three letters picked without replacement from nnvvnvnvnnnv.\nAnswer: 7\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2 + -2. Let p = -0.06 - 0.14. Let x = -0.5 - p. Which is the nearest to r? (a) 1\/12 (b) 0 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (2 + sqrt(117) + 0)**2 - (-2*-1*sqrt(156))\/(sqrt(12) + sqrt(432)*-1).\nAnswer: 62*sqrt(13)\/5 + 116","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 7*q**2 - 3866*q - 4. Let n(u) = -11*u**2 + 5784*u + 6. Calculate -8*d(h) - 5*n(h).\nAnswer: -h**2 + 2008*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -a + 7. Let d be l(5). Let h be -1 + (0\/d - -7). Suppose 4*p - 4*i - 276 = -0*i, 3*p = 4*i + 210. What is the highest common divisor of h and p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = p**3 + 4*p**2 + 3*p + 9. Give d(-4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-r + 0*r + 12*r)*(2*r**2 + r**2 - 4*r**2) + (-2*r - 6 + 6)*(-r**2 - 3 + r + 4 - 4*r).\nAnswer: -9*r**3 + 6*r**2 - 2*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -b**3 - 10*b**2 - 13*b + 11. Is w(-10) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10 + 10012311?\nAnswer: 10012301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6644114 (base 8) to base 5.\nAnswer: 424203410","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 785 divide 1611395?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m + 5*c = -463 + 467, 5*c - 10 = -5*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 0, -85, -134, -1 in ascending order.\nAnswer: -134, -85, -4, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -16a7 (base 11) to base 5\nAnswer: -32144","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 9 = 5*l - 3*x, 15 = 5*x. What is the highest common factor of l and 99?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.17282271 to 1 dp.\nAnswer: -2.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*m - 21*m + 12 = -2*u - 18*m, -4*u + 4*m = -12 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b**5 + 103696*b**4 - 207396*b**3 + 2*b**2 + 207395*b - 103698 = 0. What is b?\nAnswer: -103698, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 7*w - 5. Let q(a) = -6 - 1 + 7 + 8 - 7. Suppose 4*u = -3*g + 15, 4 = 2*g - 4*g + 2*u. Give g*f(b) + 3*q(b).\nAnswer: 7*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -547204890 by 415.\nAnswer: -1318566","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 7 + 0)*(-4*f + 3*f + 3*f)*(-3 + 6 + 1)*(-6 + 12 + 5 + (-2 + 1 - 1)*(-2 + 4 - 3)).\nAnswer: -624*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -8 - 12*j + 26*j + 19*j - 13. Does 9 divide k(5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*w + 506 = 46 for w.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bxsjsbs. What is prob of sequence sxs?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve o = -4*w + 15, 30*w = 3*o + 32*w + 5 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -7 in -4, 1, -1, -4\/9?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(187)\/(sqrt(396) - sqrt(396)*-3) - sqrt(119)\/((sqrt(35)*-3)\/sqrt(5)))**2.\nAnswer: 153\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 67*f**3*g - f**3 + 4*f**2*g + 566754*f*g wrt f?\nAnswer: 402*f*g - 6*f + 8*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 514 minutes after 1:07 PM?\nAnswer: 9:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*t**2 - 3 + 3)*(-t**2 - 2*t**2 - 3*t**2) + (-3*t**3 - 2*t**3 + t**3)*(2 - 2 + t) in the form m*t + b*t**3 + d*t**2 + y*t**4 + f and give y.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3 + 0*(-2)\/(-4). Let a(l) = 2*l**2 + l - 21. Let b be a(-4). Let u be (b\/(-21))\/((-8)\/54). Is u at most as big as s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 8 = s - 1, 0 = 2*o + 5*s - 13. Suppose 0 = o*r - 77 - 79. Is 13 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 143 - 137. Solve 0 + z = 2*w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*d**3 - 48*d**2 - 4*d + 48.\nAnswer: 4*(d - 12)*(d - 1)*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*j - j - 16. Suppose j*o - 7*o - 54 = 0. Is 18 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -20 + 22. Suppose -26 = -m*g - 24. What are the prime factors of g - (3 - (207 - 1))?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = -18*d + 47. Let q = 971 - 3931\/4. Let t = q + 12. Which is bigger: t or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the first derivative of 0*d + 108 - 4\/3*d**3 + 26*d**2. What is the second derivative of c(o) wrt o?\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17933.\nAnswer: 79, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 9 divided by -26\nAnswer: -9\/26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.1 - 0.1. Let x = -3.4 - -3.5. What is the closest to x in p, -0.5, -0.1?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) be the third derivative of z**6\/120 - z**5\/15 + z**4\/6 - z**3\/3 - 6*z**2. List the prime factors of t(4).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 249708 - 0.7.\nAnswer: 249707.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -16\/19 at most as big as -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 409811?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -24368\/23407 equal to -1\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zo when two letters picked without replacement from olzvo?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -48 + (12 - -50) + -17.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -9 - -6. Let u be 4 + (w - 0) - -4. Factor -2*g**2 - 4*g - g**4 + g + u*g**2 + g.\nAnswer: -g*(g - 1)**2*(g + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*w + w + 2*w)*(-4 + 4 + w) + 47*w - 45*w - 20 + 14*w**2 - 11*w**2 in the form s + p*w**2 + j*w and give p.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.3, 2892, -0.1, 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 36*g**2 + 4*g**2 - 11*g**6 - 28*g**6 wrt g.\nAnswer: -4680*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 4, t: 7}. Give prob of sequence lttt.\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 774 is divided by 674.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*sqrt(8))\/sqrt(4))**2 + -2*(sqrt(2) + 0).\nAnswer: -2*sqrt(2) + 32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the first derivative of -5*a**6\/2 - 242*a**3\/3 + 329. What is the third derivative of p(m) wrt m?\nAnswer: -900*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5116 (base 7) in base 3?\nAnswer: -2102211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4 - ad?\nAnswer: -a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 7801522 and 203?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 15\/(-10) + (45\/4)\/9. Which is the second smallest value? (a) -4 (b) k (c) 4\/5 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(4*(sqrt(75) + (sqrt(75) - (-1 + sqrt(75)) - sqrt(75))*-3 + sqrt(75) + sqrt(75) + -3*-3*sqrt(75))*6)**2.\nAnswer: -518400*sqrt(3) + 19450368","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + sqrt(704) + (-2 + sqrt(704))*-4 + -5*(-2 + sqrt(704))**2.\nAnswer: -3535 + 136*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -2*y + 1. Let x be k(-3). Let p(w) = -w**3 + 8*w**2 - 7*w + 10. Let j be p(x). Suppose -m - j = -2*d, d + 2*m = -m - 9. What is the units digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.0518 or -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12500 (base 7) to base 3.\nAnswer: -11120102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 562651 + -5?\nAnswer: 562645","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3 + 41. Suppose 5*z + y = -116. What is the common denominator of z and 37\/8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 4 + 5)*(u**2 + 5*u**2 - 7*u**2)*((0 + 1 + 0)*(4 + u - 4) + 0*u + 2*u - u)*(976 + 974 - 1960) to h*u + x + q*u**3 + k*u**2 and give q.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r when two letters picked without replacement from {t: 1, r: 2, a: 1, f: 2, v: 1, x: 2}?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(275)*-3 + -2)**2*-2.\nAnswer: -4958 - 120*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -14*i + 14. Let r(q) = -42*q + 38. Let u(h) = 8*g(h) - 3*r(h). Let d(a) = a**2. Give d(u(k)).\nAnswer: 196*k**2 - 56*k + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*v + 3*v = -24. Suppose -4*j + y = 28, -v*j + 3*y - 35 = -j. Let o = j + 15. Calculate the greatest common divisor of o and 64.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1)\/3 - 874\/(-57). Suppose 0 = -4*x + 41 + 27. Which is smaller: t or x?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-9)\/12)\/((-1)\/4). Suppose 5*r - r - t = 396, 5*r + f*t = 495. Calculate the highest common divisor of r and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 986342*w + 3945361. Calculate g(-4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 7 = 2*n - g, -2*n - g = -17. Suppose -3*d + n = -19. Solve -13 = -5*i + 5*w - 3, -i + 5*w - d = 0 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/2 in -1, 1\/6, -1040?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -2*v**2 + 13*v - 17. What is z(4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 23 + -16. Let d(f) = 4*f - 2*f + w + 4*f + 0*f. Is d(10) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(612) - ((sqrt(612) - sqrt(612)*1) + sqrt(612) + 0)) + 4)**2 + (2 + sqrt(612))*6*2.\nAnswer: 40 + 72*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1.22172 - 78.7834. Let c = i + 80. Round c to 3 decimal places.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -245659.8469 less than -18?\nAnswer: 245641.8469","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t = 6, 17*t = -4*r + 21*t + 4 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j = 3*x, 4*x - 2318*j = -2315*j + 7 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 (base 10) in base 5?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 9466.9 years in centuries?\nAnswer: 94.669","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in six fifths of a millennium?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 245, 523, 839, 1211, 1657, 2195?\n\"Answer: 3*u**3 + u**2 + 254*u - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -2 - 5*u + 3*u + 3*u. Let i be g(1). Is 0 greater than i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 397*x + 611 + 4*x**2 - 401*x - 543 as k + j*x + i*x**2 and give i.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:06 AM and 3:57 AM?\nAnswer: 231","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(3\/2)\/p)\/p*p\/p**(-1\/5))**(-49) assuming p is positive.\nAnswer: p**(-343\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -69 - -69.1. What is the second smallest value in -2\/3, n, 2\/23, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2 - -27. Suppose -g = -6*g - z, -4*a + 65 = -g. Let x = 136 + -131. Solve 0*l = -3*l - 3*j - 15, -a = 3*l - x*j for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 284 + -282. Suppose 15*i + w*u - 152 = 14*i, 0 = -i + 3*u + 162. Calculate the highest common factor of 36 and i.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-13)\/(-5) - (-4)\/10. Let f(d) = 5*d**2 + 2*d - 1. Let q be f(1). Let 1 + t**4 + q*t**3 - 2*t**2 + 3*t - 4*t - 4*t**p - t**5 = 0. What is t?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*n**3 + 3552*n**2 - 6524*n + 3000 = 0. Calculate n.\nAnswer: 6\/7, 1, 125","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 7967, 6313, 3563, -277, -5201, -11203, -18277?\n\"Answer: g**3 - 554*g**2 + g + 8519","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 6*g**2 - 3*g + 2. Let d be h(1). Suppose 32 = d*s - 618. Does 26 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 72588 and 2484?\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(3872))**2.\nAnswer: 139392","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 366.\nAnswer: 2, 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -121712*-1.8.\nAnswer: 219081.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 197 minutes before 3:03 AM?\nAnswer: 11:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 346*l + 0*l**3 + 4*l**3 + 2*l**2 - 344*l + 4*l**3 in the form x*l**3 + c + s*l**2 + m*l and give x.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -434 - -434. Are p and -1\/322 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yeyo when four letters picked without replacement from {o: 3, y: 3, f: 3, e: 2, r: 3}?\nAnswer: 3\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/(-86)*17501\/2442.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -h**3 + 27*h**2 - 24*h + 94. What are the prime factors of c(23)?\nAnswer: 2, 829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 46575 and 2825.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -4906315 not equal to -4906314?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 99?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*5*(1 + sqrt(208) + 1))**2 - (-1 + -2*(sqrt(208)*2)**2*3).\nAnswer: 1600*sqrt(13) + 26193","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-7\/4)*w*w**(-8))**(-28) assuming w is positive.\nAnswer: w**245","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -138.93 + -0.07. Let h = s - -181. Which is the closest to 1? (a) h (b) 0.4 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -130 + 133. What is the greatest common factor of 3 and k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/15)\/((21525\/82)\/(-105)).\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that -4*d**2 - 16*d = 0.\nAnswer: -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -89\/420 and 97\/6.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 3, m: 2}. What is prob of picking 3 c?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 74*n - 73*n. Calculate the remainder when 22 is divided by n.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence llbl when four letters picked without replacement from {b: 5, l: 14}?\nAnswer: 455\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -440*h = -170*h - 810 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q - 4 = -5*a, -2*q - 2*a = -93 + 69 for q.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the first derivative of t**5\/15 - t**4\/24 - 5*t**3\/3 + 3. Let a(b) be the third derivative of g(b). What are the prime factors of a(1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -25 - -29. What is the remainder when 9 is divided by y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1 + 2)\/(288\/2736 - (-145)\/(-114))\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6a37 (base 11) in base 8?\nAnswer: -22024","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 12\/(-8) - (-314)\/4. Is -1*(-3 - -7 - w) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1391*0.2091.\nAnswer: 290.8581","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Are 18\/8671 and 0 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = a**3 - 7*a**2 - 12*a - 1. Let j be h(8). Which is bigger: j or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4991 + 4995. Let v(f) be the second derivative of 0 + 11\/30*f**5 + 4\/45*f**6 + 9*f + 2\/3*f**j + 1\/2*f**3 + 1\/126*f**7 + 0*f**2. Solve v(t) = 0 for t.\nAnswer: -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -418*l - 259. Let v(f) = -68*f - 43. Let k(x) = 6*i(x) - 34*v(x). Differentiate k(d) with respect to d.\nAnswer: -196","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -307 by -114.\nAnswer: 307\/114","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -2*u**3 + 19*u**2 + 30*u + 42. Let w be l(-12). What is the greatest common divisor of w and 356?\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/7, -10414, 9\/7 in decreasing order.\nAnswer: 9\/7, -1\/7, -10414","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 33717 - 2787 = 2*s, 4*s = -5*l + 61816. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 92629.98ml in litres?\nAnswer: 92.62998","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*m + 7*m - 5 = 0 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-k + 2*k**2 + k)*(-91*k + 114 - 59 - 55) in the form m*k + c*k**2 + n + o*k**3 and give o.\nAnswer: -182","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -3, 27, -37 in decreasing order.\nAnswer: 27, 5, -3, -37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the second derivative of 7\/2*n**2 - n + n**3 + 0. Differentiate g(j) wrt j.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -108708 by 36236.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0817582156 to 4 decimal places.\nAnswer: -0.0818","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -104*l = -346 + 34 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5 + 6. Let j = i - -1. Solve -j*n = 3 - 1 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = r + 5. Let w be q(-5). Suppose -3*s + 131 - 389 = 3*u, -3*s = -u + 254. Let b be (-245)\/s - (4 + -1). Put -4, b, w in decreasing order.\nAnswer: w, b, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 16*i**3 - i**2 - 2*i + 5. Let f be t(2). Find the third derivative of f*b**2 + 20*b**2 - 22654*b**3 + 22780*b**3 wrt b.\nAnswer: 756","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 3*f - 3593. Let i(q) = -4*q**2 + 18. Give i(m(v)).\nAnswer: -36*v**2 + 86232*v - 51638578","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 11 + (-4 - -16 - (111 - 98))\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 14152*h**3 + 0*h + 134*h**2 + 3*h - 5*h - 13539*h**3 wrt h.\nAnswer: 3678","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 0 + 1)*(3*t**3 - 3*t**3 + t**3) + 6091*t**3 + 3 - 7116*t**3 - 1 to y*t**2 + c*t**3 + w + h*t and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -871*b**2 + 59*b - 3694*b**2 - 20*b - 12*b - 26*b to a*b + l + r*b**2 and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 9794615 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 2*f = -5, 2*d = 3*f - 3 + 6. Let a(y) = 2*y**3 - 5*y**2 + 5*y - 3. What is the tens digit of a(d)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*w - 4*w + 5 = z, -2*w + 3*z = 8. Let c(v) be the first derivative of -127*v**2 + 3*v + 2. Is c(w) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3975308?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 6) in base 4?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h - l = 17 + 1, -3*h - l = 13 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 18 = -4*d. Calculate the greatest common factor of d and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**9*v\/(v\/v**(1\/34))*(v**(-15)*v)\/v**(2\/7) assuming v is positive.\nAnswer: v**(-1251\/238)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 26*h**6 - 89*h**3 - 8700*h**2 - 3*h wrt h.\nAnswer: 3120*h**3 - 534","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2\/19, -1\/4, 391, 140, 3?\nAnswer: 140","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -7*x. Let u(g) = 7761*g + 4. Give i(u(w)).\nAnswer: -54327*w - 28","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-18)\/(-15))\/((-39)\/130)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 48\/107 + -16453\/2568. What is the common denominator of 55\/12576 and m?\nAnswer: 12576","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 545 a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -99762228 divided by 6?\nAnswer: -16627038","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(11\/5)*g**(-1\/3)*(g**10)**(-12) assuming g is positive.\nAnswer: g**(-1772\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide -13318 by -13318.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(((p**11\/p)\/p)\/p)*((p\/(p\/(p\/(p\/(p*p**12*p)))))\/p)\/p)**(5\/3) assuming p is positive.\nAnswer: p**(25\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Add -9 and -1628.1.\nAnswer: -1637.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3\/40 + -7\/8. Which is the biggest value? (a) j (b) 1\/7 (c) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*h + 27 = 26*h. What is the highest common divisor of 24 and h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) be the second derivative of t**4\/4 - 3*t**2 + 11*t. Let y = -14 - -29. What is the remainder when y is divided by j(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1604*i + 43925 = 1599*i. Round i to the nearest one thousand.\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0\/3*1\/2. Suppose a*h + 1340000 = -h. Round h to the nearest 100000.\nAnswer: -1300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 24776664 and 550.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 499.412 - 499. Which is smaller: 0.2 or v?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 20\/407591 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -n**3 + 7*n**2 + 12*n - 1. Give c(8).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 83990010 to the power of 1\/9, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -377232, -377241, -377254, -377271, -377292, -377317, -377346?\n\"Answer: -2*m**2 - 3*m - 377227","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 304 and 80?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-498 - 435 + 704 + (2 + 5 - 6)*(5 - 5 + 2))*(0 + 0 + o**3 + 2*o**4 + 1) to the form t + y*o + s*o**3 + q*o**4 + a*o**2 and give q.\nAnswer: -454","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/17? (a) -2 (b) -6 (c) -0.025\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -14, 5, -0.1, 4\/5?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1829914, 1829925, 1829946, 1829983, 1830042, 1830129?\nAnswer: 1830250","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0, -25, -0.5, -0.2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2 + 5 - 1 + 4 - 54*d**2 + 44*d**2 + 154*d**3 wrt d?\nAnswer: 924","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.075 times 8?\nAnswer: -8.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 25*n - 58*n + 2 + 5 + 28*n. Let k(j) = 14*j - 21. Let p(l) = l**3 + 21*l**2 + 21*l + 26. Let y be p(-20). What is y*k(z) + 17*v(z)?\nAnswer: -z - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 17? (a) -3 (b) -1\/11 (c) -1\/5 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.1 + -605?\nAnswer: -599.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j - 11 = -2*x, -16 = -4*x + 1274*j - 1270*j for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 19116 and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3*(1568\/12)\/4. Solve r*x - 20 = 94*x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a + 14. Suppose -3*i - 31 = i - 3*h, 0 = 2*i + 2*h + 26. Let u be o(i). Let y be (-24)\/10 - 4\/(-10). Sort -1, y, u.\nAnswer: y, -1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 3\/268400 and 43\/67100.\nAnswer: 268400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*u - 8*u + 1356012. Suppose -2*b = -m - u, b = -7*m + 11*m + 37667. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 8*j - 33 = -2*f, -4*j - 2*f = -28. What is the units digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 74524 divided by 6\nAnswer: 37262\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 436 = -6*o. Let i = o - -159. Suppose 0 = 4*t + 6 - i. What is the lowest common multiple of t and 8?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lplpksl. What is prob of sequence llp?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1 - -4. Suppose 0 = -10*a - 8178 + 2668. Let y = -556 - a. Sort n, 8, y in ascending order.\nAnswer: y, n, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aaappaaaapaa. Give prob of sequence paa.\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 4273, -4, -13, 19, -3, -15.\nAnswer: -15, -13, -4, -3, 0, 19, 4273","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-42)*279\/(-31).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 328 minutes before 4:28 AM?\nAnswer: 11:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-96)\/198)\/((-502)\/(-2761))?\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 24 and 144.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 354 + (7 - 11) - (-9 - 4\/(-1)) is divided by 15.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6 + 4. Let i = -1.9 + 2.2. Put 1, i, d in ascending order.\nAnswer: d, i, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 45\/32189 and 19\/6?\nAnswer: 193134","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iinn when four letters picked without replacement from {i: 3, n: 2}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.16039 rounded to one dp?\nAnswer: -1.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -388 by -2836.\nAnswer: 97\/709","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -t**2 - 8*t - 5. Let v be z(-7). Let n(w) = -7*w**3 + 3*w**2 + w - 3. Let d be n(v). Is 51 a factor of d\/(-5)*1\/(-6)*-212?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*2*((-4 + (sqrt(7) - (sqrt(343) + 2))*-4)**2 + 2).\nAnswer: -40500 - 1920*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 65\/1659 and -51\/11.\nAnswer: 18249","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -164 (base 7) to base 14.\nAnswer: -6b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 210786929 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 110526 to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 minutes before 6:53 AM?\nAnswer: 6:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 25424?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, -9, -4, -15, 5 in decreasing order.\nAnswer: 8, 5, -4, -9, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -12 + 30. Suppose -2*w - w = -p. What is the units digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 129 - -4?\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -165\/13, -1\/8, -0.2, 0, -3 in descending order.\nAnswer: 0, -1\/8, -0.2, -3, -165\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-6)\/(150\/20 - 8). Suppose -t + 12 = 11*q. Which is smaller: q or -2\/903?\nAnswer: -2\/903","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = 3*v + 8, 5*v - 4*j + 8*j = -9. Is v less than 1\/12?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 60 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 3*g**4 + 1. Let u(r) = -2*r**4 - 1. Let w(i) = -i**3 - 6*i**2 - 3*i + 6. Let k be w(-5). Let t(m) = k*p(m) - 5*u(m). Differentiate t(o) wrt o.\nAnswer: -8*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9794.92 micrometers to nanometers.\nAnswer: 9794920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 71 (base 11) to base 16.\nAnswer: 4e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -105*z**3 + 108*z**3 - 6*z**3.\nAnswer: -3*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 71\/12 and 79\/6?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d*(d*d*d*d**0*d*d*d*d)\/d*d)\/d**(3\/7))\/(d**(-4\/5)*d\/(d**3*d)) assuming d is positive.\nAnswer: d**(433\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -9*l**2 - 47*l. Let v(x) = 428*x. Let g(t) = -39*t. Let p(i) = -22*g(i) - 2*v(i). What is p(h(w))?\nAnswer: -18*w**2 - 94*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 11111 (base 2) to base 14\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 56286846?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h = -h - r + 7, 3*r - 13 = h. Let n be h\/(-8) - 1039293\/12. Let i = n + 38608. Round i to the nearest ten thousand.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -26*w**2 + 59*w**2 - 14*w**2 + (0 + 2*w + 0)*(-4*w + 2*w + 4*w).\nAnswer: 23*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:15 PM and 3:01 AM?\nAnswer: 586","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 53731.\nAnswer: 53731","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -2*c. Let i(j) = j**2 - 91444*j. Give i(n(u)).\nAnswer: 4*u**2 + 182888*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 8096295 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -0.2*27846573\nAnswer: -5569314.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 370 is divided by 338?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 91818.\nAnswer: 2, 3, 5101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + 0 - 10*f + 12*f to the form k + d*f and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2*(-7)\/28)\/((-2)\/8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/3*(5 + (-30)\/12)*-3.\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(2\/7))**(-5))**(-22)\/((a\/(a\/(a\/((a\/a**(2\/7))\/a))))**(1\/6))**(-24) assuming a is positive.\nAnswer: a**(256\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 16752*d - 117341. What is t(7)?\nAnswer: -77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4075 - 4059. Which is the nearest to x? (a) -22 (b) 0.2 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.01 + -3732.\nAnswer: -3731.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -26936310 and -146415?\nAnswer: 26789895","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o\/(o\/(o\/(o*o**(1\/2))*o))*o)**(-7\/10)*o*o*o**(-9)*o*o*o*o*(o*o**(-2)\/o)\/o assuming o is positive.\nAnswer: o**(-31\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -7\/30312 and -7\/30312?\nAnswer: 30312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 19 = -2*k, 5*u + 3*k = -0*k + 21. Suppose -2 = -g + 5*y + 2, u*g = y + 12. Let b be 3\/(2*2\/(-4)) - -6. Which is smaller: b or g?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-26)\/(3*6\/(-9)). Let v = i + -5. What is the units digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -1750, -20898, -40046, -59194, -78342, -97490?\n\"Answer: -19148*f + 17398","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 7309959651?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -15eb78 - 3?\nAnswer: -15eb7b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15700308 - 2*b**2 + 26891*b - 3*b**2 + 2099*b - 57721313 = 0.\nAnswer: 2899","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 1 = 0, -3*i = -2*g - 2*g + 2. Let r be (2\/(-2))\/(i\/10). Solve r*s = -3*z - 0 - 3, 0 = 4*s for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 2*d**2 + 5. Suppose -5*l - n - 4*n = -15, 2*l - 4*n + 12 = 0. Suppose l = q - 0*q + 5. Is 11 a factor of b(q)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 67 a factor of 110739275?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3467906086 to the nearest integer?\nAnswer: 58889","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v**2\/3 - 2031188*v\/3 + 515715586418\/3 = 0. What is v?\nAnswer: 507797","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 52925 and 8.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n = 10, n = -3*r + 5*n - 0*n + 23 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.7400091cm to millimeters.\nAnswer: 7.400091","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 121987469 is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 68, 0, -2, 17, -3 in increasing order.\nAnswer: -3, -2, 0, 17, 68","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -6\/23, -2\/7, 0.3, 0.01, 81?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/3 + 230\/6. Suppose 340 = -36*l + 2*l. Let h = l + n. Is h a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1173066279 divided by 15234627.\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5\/113069 + 138252555\/113069. Let x = b - 1218. What is the common denominator of 25\/27 and x?\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 109989 and 36679698.\nAnswer: 1089","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the third derivative of -457*c**6\/20 - 491*c**4\/6 + 252*c**2 + 3*c. Find the second derivative of b(x) wrt x.\nAnswer: -16452*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 1 - 2*q**2 - q + 2)*(-58 - 122 + 3).\nAnswer: 354*q**2 + 177*q + 354","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 653661 to the nearest integer?\nAnswer: 808","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = q**2 - 26*q + 69. Let z be g(23). Which is smaller: z or 1\/318?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23540.21 grams in kilograms?\nAnswer: 23.54021","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 501 minutes after 10:55 PM?\nAnswer: 7:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 242478+-2370.4486\nAnswer: 240107.5514","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -27, -51, -93, -159, -255, -387?\nAnswer: -561","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 587 minutes after 5:31 PM?\nAnswer: 3:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 13*b*m**5 - 33*b*m**3 - b*m**2 + b*m + 3*b wrt m.\nAnswer: 780*b*m**2 - 198*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5 and 24785.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 10910557 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 5.705 to the nearest integer.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11210 + -22011122010201?\nAnswer: -22011121221221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 126943*d + 761639. Determine g(-6).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -2*f**2 + 33*f - 13. Let l be c(16). Sort l, 0, 4.\nAnswer: 0, l, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 155812.\nAnswer: 2, 38953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 1, j: 4, v: 2, g: 7}. Give prob of picking 1 j and 2 v.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 89953, 90169, 90535, 91051, 91717, 92533, 93499?\n\"Answer: 75*f**2 - 9*f + 89887","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 0 + -154221?\nAnswer: -154221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -13*v**2. Let a(c) be the third derivative of 11*c**5\/60 - 3*c**2 - 13. Give d(a(p)).\nAnswer: -1573*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (8882\/(-66))\/(6\/36). Let m = w - -808. Which is the biggest value? (a) 0 (b) m (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*b**2 + 15 - 15 + 27*b**2 in the form g + m*b + f*b**2 and give f.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -15*c**3*g**2 - 3*c**3 - 4*c**2*g*y - 2*c*g**3*y + 6*c*g**3 - 3*c*g*y - c*y wrt g?\nAnswer: -30*c**3 - 12*c*g*y + 36*c*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 (base 13) in base 15?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2490.677 micrometers in meters?\nAnswer: 0.002490677","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 164101193.\nAnswer: 6863, 23911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5196 - -5198.099. What is v rounded to 1 decimal place?\nAnswer: 2.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 66 + -819a2?\nAnswer: -8193b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 63*d**2 - 3*d - 21. Let j be y(12). Is (-2)\/(-8) - (-2)\/(40\/j) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 36753.7464 to the nearest 1000.\nAnswer: 37000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 111 - -7?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1899584.299994 + -1899586. Let l = 1.7 + f. Round l to 5 decimal places.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the second derivative of m**7\/210 - m**4\/24 - m**3\/6 - m. Let q(l) be the second derivative of i(l). Let u be q(1). Solve -1 = h - u for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/1)\/(-6) + (-21)\/6.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 8*15\/2400*108. Let k(a) be the first derivative of 21*a + 0*a**3 - m*a**5 + 0*a**2 + 10 + 0*a**4. Find the first derivative of k(o) wrt o.\nAnswer: -108*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 822 > 822?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-26)\/(-8) + (-1)\/4. Suppose 2*s = a*s. Does 6 divide s + (-4)\/(8\/(-14))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 755548*n**2 + 2498369*n.\nAnswer: 1511096","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 160 minutes before 7:35 AM?\nAnswer: 4:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -127.01 - -125.8294. Let w = 1495 - 1496.2. Let m = d - w. Round m to three dps.\nAnswer: 0.019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -24 * 22422.67.\nAnswer: -538144.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*r = 23*r + 134. Let m = r - -116. Calculate the remainder when 142 is divided by m.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2003.01123 + 2003. Round c to three dps.\nAnswer: -0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*d = 24*d. Let w be (-728)\/338 - (-4)\/26. Sort d, -4, w, -7 in descending order.\nAnswer: d, w, -4, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*a*s**4 - 659*a*s**3 - 6204*a*s**2 wrt s?\nAnswer: -48*a*s - 3954*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -341eae + 7?\nAnswer: -341ea7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -2666, -5331, -7996?\n\"Answer: -2665*a - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 654265800 rounded to the nearest 100000?\nAnswer: 654300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 32212 and -953?\nAnswer: -30698036","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 38\/(-1)*2\/(-4). Let s = a + -17. What is q in 0*q**s + 4\/3*q**4 + 0 + 2\/3*q**3 + 2\/3*q**5 + 0*q = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6477652 and 1245?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p = -2*p. Solve p = -4*x - 5 + 1, -4*c - 5*x = 21 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5376712 - 943288. Round n to the nearest one million.\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*2*sqrt(2156) - 2*5*(sqrt(44) + 2*sqrt(44)))\/((3*-1*sqrt(44))\/(sqrt(275)*-2 + sqrt(11))).\nAnswer: -132*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 3507790?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(6)\/(sqrt(27)\/(sqrt(9)*-2)).\nAnswer: -2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 3 = -4*m - 3*r, 5*m + 19 = -2*r. Let q(c) = c - 6. Let w(s) = -s + 7. Let g(n) = 3*q(n) + 2*w(n). Determine g(m).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8 * -1168\nAnswer: -9344","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-3)\/(-2)*(-60)\/(-9)*(-2)\/(-5). Solve 0 = d*i - 12, -8*m = -3*m - 4*i + 37 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 4*b - 5. Give t(-3).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -1403, -1378, 39, 2848?\n\"Answer: 696*z**2 - 2063*z - 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 39 = -5*j. Suppose x - j = 5. List 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 -47427182.27 rounded to the nearest one thousand?\nAnswer: -47427000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -5 + -b160?\nAnswer: -b165","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2046 + -2046. Let z(x) be the second derivative of 0*x**3 - 4\/5*x**5 + 0*x**2 - x**4 + w - 4*x. Find the third derivative of z(v) wrt v.\nAnswer: -96","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 474*u - 1392. Let n be k(3). Solve -n + 55 = -5*b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 175193 is divided by 28.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 146 - 97. Suppose x - 347 = -5*s, -w + 252 = 3*s - 2*x. Is s a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -2*a + 5*a - 3*a - a. Let x(z) be the second derivative of -1\/6*z**4 + 0*z**2 + 0 - z + 0*z**3. Determine x(s(r)).\nAnswer: -2*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2350068 is divided by 123686?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 3*s**2 + 6*s - 8. Let b(d) = 7*d**2 + 13*d - 16. Let n(x) = -2*b(x) + 5*u(x). Let k be n(-6). Solve 0 = -2*f + 3*f + k for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 - (-9 - (-11 - (4 + -9))).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 14 and 86?\nAnswer: 602","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 450024753 to the power of 1\/6, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 58720741 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24335 is divided by 24284?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12)\/276*(-24)\/8*15\/(-9).\nAnswer: -5\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -5446966 less than 1\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -154*m - 163*m - 147*m + 596*m - 144*m.\nAnswer: -12*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 49546?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the first derivative of 215*g**2\/2 + 3832. Let t(v) = -v**2. What is t(k(y))?\nAnswer: -46225*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -1878*d + 136. Let f(a) = 268*a - 19. Let n(b) = -43*f(b) - 6*l(b). Let h(r) = -r**2. Calculate n(h(j)).\nAnswer: 256*j**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/8*(64\/(-12))\/(-8).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -44\/305 and -6\/11.\nAnswer: 3355","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000486 to four dps.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -4799, -9032, -12691, -15776, -18287, -20224?\n\"Answer: 287*r**2 - 5094*r + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -20320630 + -14?\nAnswer: -20320644","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -c**3 + 9*c**2 - 12*c + 11. Let r be l(8). Let x = r - -36. What is the units digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n + n + q = 6*n + 3, 0 = -57*n + 53*n - q + 291 for n.\nAnswer: 72","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (10\/5)\/((-4)\/4)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 12275626169 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -855\/4 - -214. Which is the second biggest value? (a) -11 (b) -1 (c) 1\/7 (d) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oo when two letters picked without replacement from uououou.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 12*r**3 - 18*r**2 + 8*r + 44. Let w(x) = 10*x**3 - 14*x**2 + 6*x + 44. Calculate 3*f(i) - 4*w(i).\nAnswer: -4*i**3 + 2*i**2 - 44","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 3 (b) 2 (c) -5 (d) 4 (e) 95791 (f) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*s - 6*s. Let d(o) = -20*o + 36. Let k(m) = 7*m - 12. Let p(f) = 6*d(f) + 17*k(f). What are the prime factors of p(s)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*f + 2*f - 4*f + (0*f - f + 4*f)*(-1 + 0 + 0))*(6*f - f - 3*f) - 4*f**2 + 1 - 1.\nAnswer: -6*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*n**2 - 2*n**2 + 2*n**2)*(-54 + 74*n - 200*n + 125*n) in the form z*n**3 + t*n**2 + s + j*n and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -43967192*f**4*h*z - 3*f**4*z**3 + 2*f**2*h - 1400692*f**2*z**3 + 49*f*h*z wrt f?\nAnswer: -1055212608*f*h*z - 72*f*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 21441 - -2?\nAnswer: 21443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -339 - -330. Which is the closest to -0.3? (a) -1 (b) o (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/4339 <= 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 4, b: 5, c: 1, o: 6}. What is prob of sequence cooi?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n + 41 = 4*n + 5*d, -5*d = -25. Solve -n*o + m = o + 6, 2*o + 1 = -m for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -313*v + 3145 = -621*v + 393*v for v.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 228651?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 449, 977, 1525, 2099, 2705?\nAnswer: 3349","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4469*w - 8985*w - 1732 = -4425*w + 6549 for w.\nAnswer: -91","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3 + 8. Suppose 8*a - b*a = 192. Let z(l) = -63*l**3 - 35*l**2 - 28*l + 7. Let f be z(-1). Which is smaller: f or a?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) be the third derivative of b**6\/120 - b**5\/10 - b**4\/3 - 5*b**3\/6 - 3*b**2. Give f(7).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.19163 times 2\nAnswer: -0.38326","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -88, -90, -100, -124, -168?\n\"Answer: -x**3 + 2*x**2 - x - 88","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -322167641*a + 140021016?\nAnswer: -322167641","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -130143 + -24?\nAnswer: -130200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2240)\/(-112)*(4\/70)\/2.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/(t**(-2\/3)*t*t))\/t)**(-47)*(t**0\/t*t)**(-46) assuming t is positive.\nAnswer: t**(188\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 16*v**2 + v. Let m(r) = 12*r + 5. Suppose 4*f + 0*f - x = 6, 2 = 4*f + x. Let l(w) = 2*w + 1. Let k(a) = f*m(a) - 5*l(a). Give g(k(h)).\nAnswer: 64*h**2 + 2*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cc when two letters picked without replacement from {c: 4, i: 1, a: 9}.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2*(-9)\/((-27)\/6))\/((-18 - 2) + 58).\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 1 = 4*n - 6, 5 = -s + 2*n. Let j be s\/(-3) + 10\/6. Suppose w + j = 2*r - 12, -3*r - 1 = 4*w. Do w and -6 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 36 - 15. Let h = z + -24. Which is the closest to 1? (a) -5 (b) -1\/8 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*h**2 - 2*h**2 - h**2)*(-3 + 2*h**2 + 3) - 3*h**4 + 0*h + 0*h - 5*h**4 - 15*h**4 + 50*h**4.\nAnswer: 29*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 4*y. Let t(l) be the second derivative of 103*l**4\/3 - 25*l. What is t(a(z))?\nAnswer: 6592*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) be the third derivative of -5*k**4\/24 - k**3\/3 - 3*k**2. Let s = 541 + -793. Let q be 1\/14*4 + s\/(-147). Determine p(q).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 * -0.66\nAnswer: -1.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -595.01681298 + 0.3.\nAnswer: -594.71681298","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.211 * 14.\nAnswer: 2.954","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 365417999857 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(22)\/(-1*sqrt(44) + sqrt(11)))**2*-1*2.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -g**2 + 9*g - 2. Let r be v(5). Let o(z) be the second derivative of z**4\/12 - 8*z**3\/3 - 5*z**2\/2 + 4*z. Is o(r) a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (27 - -7) + -41 - ((2 + -1 - 46) + -2).\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 124029577?\nAnswer: 7, 3019, 5869","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gb when two letters picked without replacement from gbggmgbcgbqgbgbbb?\nAnswer: 49\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 150 is divided by 14.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1, -4\/3, 2\/15, 2\/17, 0.4?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (0 + -2)\/2 - -8. Let t = q - 3. Suppose -c + 3*c - t = 0. List the prime factors of c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = 5*g - 5, 0 = v - 2*v + 5. Calculate the remainder when (34\/(-4) - g)*-2 is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s**3 - 4*s**2 + 2*s - 12. Let b be j(-5). Suppose -12 = -b*w + 45. Suppose 5*x - 1267 = -412. Calculate the highest common factor of w and x.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 61\/570 and -21\/15791660.\nAnswer: 47374980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 1\/4 of a kilometer?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -222020 (base 5) in base 12?\nAnswer: -45a8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ibbbffbibbib. Give prob of sequence fbf.\nAnswer: 7\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -900.86191 to the nearest one hundred.\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 613 at least as big as 613?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 314 (base 15) to base 8\nAnswer: 1266","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = g**2 + 5*g + 5. Let n be ((-18)\/(-15))\/((-3)\/10). Let b be -2*(10\/n + -1). Suppose 0 = -4*r - b - 13. Determine i(r).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 0.1, -1\/2, 1212, -3\/2 in increasing order.\nAnswer: -3\/2, -1\/2, 0.1, 4, 1212","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1970 divided by -30?\nAnswer: -197\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = z**3 + z**2. Suppose 2*y = 5 - 1. Let d = -53 - -98. Calculate the remainder when d is divided by j(y).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is nineteen quarters of a century in months?\nAnswer: 5700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = w + 6. Suppose -15 = -2*f - 4*y + 7, 0 = 3*f + y - 23. Let z(q) = -q + 1. Let l be z(f). Let o be b(l). Solve o = -s - 2*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in -118\/9, -3\/10, -1.8, 0.03?\nAnswer: -1.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*z + 2*c + 5, 22 = -3*z + 2*c - 3 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 60 and 2352?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 493392113 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 62*u - 1490*u + 19992 = 0 for u.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 151.9 - 152. Which is the nearest to 0.14? (a) -1 (b) i (c) 4 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dggssdsuggsususddrjs. Give prob of picking 1 d and 3 g.\nAnswer: 16\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*f - 6 = -3*f. Let b(d) = 4*d - 3 - d**3 - 3*d + 2*d**2 - 5*d**2 - 4*d. Calculate b(f).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that -33*m**3\/5 + 159*m**2\/5 + 1986*m + 360 = 0.\nAnswer: -15, -2\/11, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 1942*g - 66867. What is s(35)?\nAnswer: 1103","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -121*a**4 - 47*a**3*i**3 + 10*a**2*i**3 - 86*a*i**3 + 2*a wrt a.\nAnswer: -2904*a - 282*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -70161 (base 13) to base 7.\nAnswer: -1462413","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 - 2*z)*(-2*z + 1 - 1)*(z + 3 - 3 + (0 + 0 - 1)*(2*z + 0*z + 0*z) - 6*z + 17*z + 28*z).\nAnswer: 152*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 7*c**3 - 113*c**2 + 2*c + 13. Give j(16).\nAnswer: -211","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -292 divided by 2?\nAnswer: -146","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -l + 37. Let n be c(-4). Let q = -32 + n. Suppose -2*a + 8 = -2*f, -3*a + 11 = f - 3*f. What is the least common multiple of a and q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 16\/40 - 2194\/10. Let q = h - -436. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14271 to the power of 1\/2, to the nearest integer?\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -3*s - 9. Calculate o(4).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 823 to the power of 1\/2, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -10932, -21886, -32832, -43764, -54676, -65562, -76416, -87232?\n\"Answer: q**3 - 2*q**2 - 10955*q + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3081037 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -199*h + 1412 + 1732 = 557 for h.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (0 - 24\/10)\/((-212)\/1060). Solve 2*m = -3*y + 12, 2*m = -y + 4*y - v for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -5*l - 18. Let y be a(-5). Suppose -2*d + 35 = -y*d + 5*v, 0 = -5*d + 3*v - 33. Is 5 a factor of 12\/(-8)*76\/d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -139654 divided by -419?\nAnswer: 139654\/419","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -66843, -534788, -1804933, -4278378, -8356223?\nAnswer: -14439568","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-1)\/2)\/(4\/(-24)*1). Which is the nearest to 3? (a) n (b) -4 (c) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1636 + -1778. Which is smaller: -145 or z?\nAnswer: -145","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 13\/8 of a kilometer?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 2.22 * 429690\nAnswer: 953911.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 170\/25*-878 - (-2)\/5. What is s rounded to the nearest one thousand?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3437662?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3\/76 + 113\/988. What is the closest to 2\/3 in 8\/11, m, 0.1?\nAnswer: 8\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3bbd70 (base 14) to base 10\nAnswer: -2068878","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 194177 a multiple of 277?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -5478.382 to 0 decimal places.\nAnswer: -5478","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/(-28)*(-182)\/(-494).\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) 0.028 (b) -2 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 31681 + -31680.9999970539. Round w to six dps.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence go when two letters picked without replacement from {g: 1, o: 2, a: 1, m: 4}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -16*x + 1287. What is the least common multiple of g(68) and (-50)\/(-15)*(1 - -2)?\nAnswer: 1990","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -508916 > -508936?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 - 8 = -t - 5*y, -5*y = -5. Suppose 236 = t*n - 3*x, n - 3*x - 295 = -4*n. Does 12 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -349 * -2434.44\nAnswer: 849619.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -93.7 + 98. Let y = 4.11 + -0.11. Let i = n - y. What is the smallest value in i, 5, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -h**2 - 13*h + 236. Let r be p(0). Let s = r - 112. What is the remainder when s is divided by 25?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is v in -v**4\/4 - 43*v**3\/4 - 37*v**2\/4 + 207*v\/4 - 63\/2 = 0?\nAnswer: -42, -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 5*h = -130987268, 0*h - 2*h + 98240451 = 3*x. Suppose -3*v = -2*s + 104099994, -5*s - 1953198 = v + x. What is v rounded to the nearest 1000000?\nAnswer: -35000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -806*t - 12. Let l be r(-2). Suppose 108*d - 104*d = l. Is 40 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -23*n**3 - 5*n**2 - 11*n - 1. What is the tens digit of u(-3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7b32 (base 12) to base 13\nAnswer: 6323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y = 2*y + 4*q + 6, 0 = -3*y - q - 5 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -115\/1486176 and 45\/398944.\nAnswer: 135242016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 4*g**2. Let s(h) be the second derivative of h**5\/120 + h**3\/3 + 10*h. Let p(y) be the second derivative of s(y). What is o(p(j))?\nAnswer: 4*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - 4 = 6. List the prime factors of ((0 + -48)\/3)\/t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 184 - -1 - (-18)\/(-9). Suppose -10*k + 147 = -c. Calculate the lowest common multiple of k and 3.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -249568933 by 6.\nAnswer: -249568933\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3 + 0. Suppose n*i - 15 = -3*d, 4*i - 2*d - 7 - 31 = 0. Calculate the highest common factor of 8 and i.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (74861910\/(-495))\/((-4)\/22) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*n - 3*n**3 + 10*n**3 - 6*n**3 + 19*n**3.\nAnswer: 20*n**3 - 6*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 669 minutes before 1:23 PM?\nAnswer: 2:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 143312*n**2 - 15*n + 7*n - 143187*n**2 + 9*n - n.\nAnswer: 125*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -2*w**3 + 261*w**2 - 2023*w + 1757. Let b(i) = i**3 - 87*i**2 + 674*i - 586. Let q(d) = -7*b(d) - 2*t(d). What is r in q(r) = 0?\nAnswer: 1, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + -7 + -2 + 5.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 53 + -49. Suppose -s*q + 176 = -2*q. Does 17 divide (-2 - q\/(-14))*(-7)\/(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2.7275 + -0.2725. What is the nearest to -1\/3 in -4, 0.2, -4\/29, m?\nAnswer: -4\/29","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -606.6948116 to zero decimal places.\nAnswer: -607","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lln when three letters picked without replacement from {y: 1, n: 2, l: 6, a: 3}?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -2*-7*10\/(-700)*0\/(-12)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 14 - -14. Suppose -w + z = 2*v, 6*v + 110 = 5*w + v. What are the prime factors of w?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3467 + -3467.3. Let s = 49\/9 + -361\/63. What is the third biggest value in s, -0.2, y, 6\/11?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 2*z**2 - z - 1. Let x(s) = 4*s**2 - 3*s - 2. Let f be (20\/(-16))\/(3\/(-12)). Let c(r) = f*m(r) - 2*x(r). Give c(-2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = 0, 5*d = -2*v + v - 5. Let m(g) be the first derivative of g**4\/4 + 2*g**3 + 7*g**2\/2 + 6*g + 11. Calculate m(v).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2756736222?\nAnswer: 2, 3, 109, 4215193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-43)\/(-258))\/((-2)\/(-3)). Which is the nearest to -0.3? (a) 1\/5 (b) -5 (c) h (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11465 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 24*c**2 + 3*c - 2. Let s(v) = v. Determine -d(a) + 3*s(a).\nAnswer: -24*a**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5 + -12145?\nAnswer: -12140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the second derivative of -c**7\/56 + 3*c**6\/20 - 3*c**5\/10 - c**4 + 6*c**3 - 12*c**2 + 12*c. Factor b(z).\nAnswer: -3*(z - 2)**4*(z + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 41 and 54407?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -495105 divided by 147?\nAnswer: -165035\/49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2\/461339 - -6127043273\/3229373. Let i = 1893 - l. Let r = -47507\/8 - -5948. Calculate the common denominator of r and i.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 208769?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 6.28 - 2624624\nAnswer: -2624617.72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -231 + 344 - 156 + 5*f. What is s(8)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 200 divide 16800?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvqvuuuvavavqqu. What is prob of sequence vu?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2587.\nAnswer: 13, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by 29858?\nAnswer: 1\/14929","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 3 - 1)*(0*v**3 + 2*v**3 - 3*v**3)*(2 - 4 + 1) as h*v + w*v**2 + y + u*v**3 and give u.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.63 + -0.61.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 22215*b + 51. Let u(x) = -111074*x - 272. Give -16*p(d) - 3*u(d).\nAnswer: -22218*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 217, 2, 459?\nAnswer: 459","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-3\/4)*b**(-4)*(b*(b\/b**1)\/b)\/(((b*b\/(b**(-2\/7)*b)*b)\/b*b*b)\/b))**(9\/2) assuming b is positive.\nAnswer: b**(-1773\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12067 = -15*w + 11902 for w.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13265.\nAnswer: 5, 7, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -107\/1884 and -14\/75.\nAnswer: 47100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 5, 3, 1, 0.3, -149.1, -45, -2\/3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 9*o - o - 4 - 10*o**3 + 7*o**2 + 9*o**3. Give h(8).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 282 + -283. Let a be (30\/(-36))\/(z\/3). Factor a - 2*t - 1\/2*t**2.\nAnswer: -(t - 1)*(t + 5)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2576 is divided by 639.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -k*u**6 - 391129*k*u**3 + 95*k*u - 6*k - 5*u**2 + 1 wrt u.\nAnswer: -120*k*u**3 - 2346774*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -11*w. Suppose 4*j = -4*u + 72, -j + 3 = -2. Suppose 19 - u = 3*x. Let q(b) = 6*b**2 - b**2 - 2*b**2 - 4*b**x. Calculate q(s(g)).\nAnswer: -121*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Let n = 0 + 0.5. Suppose 14 = b - 1. Let d be ((-2)\/20)\/((-4)\/b). What is the smallest value in d, n, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide 11063?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1304 = -9*q - 1331 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 9 + -7. Let r(n) be the second derivative of 0 - n - 1\/12*n**4 + 3*n**c - 1\/6*n**3. What is r(0)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 189738375, 189738376, 189738377, 189738378, 189738379?\nAnswer: 189738380","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1802 + 1809. Solve -3 = -2*n + 7*d - 4*d, 4*d = -n + x for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:18 AM and 7:41 PM?\nAnswer: 503","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 1943*j - 773033. What is l(398)?\nAnswer: 281","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -7 - 372*j + 227*j + 147*j. Let p = 0 + -4. Let u(d) = -d + 1. What is p*u(m) - x(m)?\nAnswer: 2*m + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 443*f**2 - 3*f - 173. Let r(c) = -443*c**2 + 2*c + 164. Let n(h) = -2*b(h) - 3*r(h). What is the first derivative of n(y) wrt y?\nAnswer: 886*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) be the third derivative of l**8\/70560 - l**7\/4410 + l**6\/840 + l**5\/10 + 6*l**2. Let g(w) be the third derivative of y(w). Find f, given that g(f) = 0.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 2*g - 2 + 1)*(2 + 3 - 2) + (-46*g - 40*g + 24*g)*(-4 + 2 + 1) in the form i + z*g and give i.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.201535l to millilitres.\nAnswer: 7201.535","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 187.5541 rounded to one decimal place?\nAnswer: 187.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -27, -53\/799, 1\/6.\nAnswer: -27, -53\/799, 1\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 139*j**2 - 6. Let r(f) = -280*f**2 + 10. Determine -3*r(l) - 5*t(l).\nAnswer: 145*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -52, 2\/5, -696 in ascending order.\nAnswer: -696, -52, 2\/5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -13*d. Let a(x) = 168*x + 174*x + 411*x**2 + 53*x**2 - 342*x. What is a(v(z))?\nAnswer: 78416*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -28, -14 in ascending order.\nAnswer: -28, -14, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/((j**(-2\/19)\/j)\/j))\/(j*j**6*j*j))\/(j**(2\/5)*j)**14*((j**(3\/2))**(9\/11))**40 assuming j is positive.\nAnswer: j**(24658\/1045)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7.3 + 6.4. Let b = -11.1 + m. What is the closest to 0.2 in 4, b, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -4, 5, -14877631 in descending order.\nAnswer: 5, 3, -4, -14877631","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o = 10*o - 56 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 4\/3, 0.3, -0.5, 5, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 51 divide 16418532?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1\/12197 or -2191?\nAnswer: 1\/12197","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((sqrt(252) + -1*sqrt(252))**2 + 3)*3.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o**2 + 7*o + 3. Let k(p) = -3*p**2 - 24*p - 9. Let u(w) = -4*k(w) - 13*r(w). Determine u(5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + 5*(14\/6 - 3).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.01 - 0.1. Let c = f + 4.09. Let z = 14 - 11. What is the biggest value in -0.2, z, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qsittqiii. What is prob of sequence ii?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -5721.8407 rounded to the nearest one hundred?\nAnswer: -5700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d**2 + 19*d + 1. Let f be j(19). Let h(a) = 132*a + 1. Is h(f) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12401401 (base 5) to base 11\nAnswer: -83811","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-16 - (2 - 18)) + -17 + 4 + -2\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 66785?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*c**4*d - c**4 + 127*c**3 + 1629*d wrt c?\nAnswer: 8*c**3*d - 4*c**3 + 381*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -z**3 + 44*z**2 - 43*z - 150. Calculate m(43).\nAnswer: -150","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sbsbbbis. What is prob of picking 1 b and 1 s?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/15 or -31?\nAnswer: -31","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 4.23866mg?\nAnswer: 4238660","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -40.65458881 to the nearest ten.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert b907 (base 12) to base 16.\nAnswer: 4f57","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-51)\/(-272))\/(19\/1368)*(-32)\/(-252)\nAnswer: 12\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0015347 nanometers to meters.\nAnswer: 0.0000000000015347","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-42)\/343 + 0)*1\/(-2). Let s = y + 40\/147. Which is bigger: s or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3109 or 67?\nAnswer: 67","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 4*x**2. Let y(r) = -3*r. Let u(a) = -13*a. Let h(l) = -2*u(l) + 9*y(l). What is q(h(w))?\nAnswer: 4*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-16)\/(-12)*3*1. Suppose -r*b - 73 = 3. Let t = -9 - b. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4 + -4.3. Let t = 5 - -7. Let f = 7 - t. Which is the biggest value? (a) 1\/9 (b) o (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 134 + -104. Calculate the lowest common multiple of h and (-135)\/36*(-4 + -2*4).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7544 + -4594. List the prime factors of k.\nAnswer: 2, 5, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1474 and 90574?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0 - -0.07. Let l = u - -0.03. Let z = 0.1000018 - l. Round z to six dps.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - -4) + -1 - (36 + -27)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -816, -817, -818?\n\"Answer: -w - 815","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3\/(-1 - 14\/(-8)). Let t = b - 2. Solve -t*a = -6 - 0, -s + 10 = 5*a for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 4*m**4*r + 8*m**4 + 5*m**2*r - 142*r - 28 wrt m.\nAnswer: 16*m**3*r + 32*m**3 + 10*m*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 53\/32697 and 44\/2325?\nAnswer: 25340175","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*f + 11 - 7. Let z = -6 + f. Let m(d) = 4*d + 4. Let x(v) = 3*v + 3. Let q(u) = z*m(u) + 8*x(u). Let r(g) = -4*g - 5. Determine 5*q(t) + 4*r(t).\nAnswer: 4*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 555924 = 85*i - 481756. Is 218 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13723635041 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -698 = -2*f + 3*h + 98, -f + 5*h + 412 = 0. What is the tens digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -170 in -2, 0.5, 5, 3\/10?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -m - 2. Suppose -3*i - 2*b + 12 = -b, 5*i - 2*b - 31 = 0. Suppose 2*u + 3*x = -49, 2*u = i*u + 5*x + 74. Let v = u - -17. Calculate c(v).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.1 (b) -8 (c) -4\/9 (d) -1189\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*j = -11357 + 3860. Let f = j + -452. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 60, -85, 3, -6255 in increasing order.\nAnswer: -6255, -85, -3, 3, 60","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 + 1)*(-13*z**5 + 31*z**5 - 13*z**5) - 5*z**5 + z**4 - z**4.\nAnswer: 5*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = k**2 - 6*k - 958. Let s(d) = 6*d. Give f(s(y)).\nAnswer: 36*y**2 - 36*y - 958","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ek when two letters picked without replacement from eekeekeeeeeee?\nAnswer: 11\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1*(9 + 384\/(-42)). Suppose 3*o - 10 = -2*o. Which is greater: o or n?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 154 is divided by 54?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0364966 minus 0.267?\nAnswer: -0.3034966","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -8*f. Let p(d) = 15*d. Let a(n) = 5*p(n) + 9*s(n). Let g(q) = -3*q. Determine -7*a(o) - 6*g(o).\nAnswer: -3*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 47.3 times 3\nAnswer: 141.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 127 = -3*h, -8*h + 6*h = -4*p - 86. Suppose 2*v = -7 + h. Solve 24*j = 20*j - v for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 2.305, 0, 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6 - 0) + 7 + -3 + -3 - 14.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = g + 337 + 389 - 727 - 4*g**2. Let j(d) = -d**2 - 1. Determine -i(l) + 3*j(l).\nAnswer: l**2 - l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 0 - 2*g)*(-3 + 2*g + 3) + 28*g**2 - 108*g**2 - 243*g**2 - g**2 + g + 0*g + g to u + p*g**2 + a*g and give p.\nAnswer: -328","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1218171 - 4.\nAnswer: -1218175","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 3 = 9. Suppose 5*b - 34 = s*u, b = -2*u + 1 + 1. What is the remainder when 22 is divided by b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 15958?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:53 PM and 4:31 AM?\nAnswer: 398","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in -415, 2\/3, 3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + ((1*sqrt(1980))\/sqrt(11) - ((sqrt(405) + 1)*-6 - sqrt(405))))**2 + -4.\nAnswer: 1104*sqrt(5) + 23865","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4.75 + -179.38. What is n rounded to the nearest 10?\nAnswer: -170","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1\/6*y**4 + 4\/3*y - 1\/6*y**2 + 0 - 4\/3*y**3 = 0. Calculate y.\nAnswer: -1, 0, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(3\/11)*l\/l**(-16))\/((l**(-4)\/l)\/(l**(-1\/6)\/l)) assuming l is positive.\nAnswer: l**(1393\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 - 486217918.59287.\nAnswer: -486217923.59287","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) be the first derivative of -k**5\/40 + 27*k**4\/32 + 29*k**3\/8 + 89*k**2\/16 + 15*k\/4 + 720. Let a(s) = 0. Calculate s.\nAnswer: -1, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the second derivative of -g**6\/180 + g**3\/6 - g. Let u(s) be the second derivative of r(s). Let t(b) = -2*b**2 + 6*b**2 - b**2. Calculate u(t(j)).\nAnswer: -18*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l + 11*g + 18 = 15*g, -2*l - 1 = g for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -7225, -7247, -7269, -7291, -7313?\n\"Answer: -22*q - 7203","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 654799.6ng to milligrams.\nAnswer: 0.6547996","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 218708050 divided by -22?\nAnswer: -9941275","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = k - 3. Let j = -7 + 12. Let f be y(j). What is the common denominator of f\/(-5)*(-57)\/4 and -91\/22?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/6)\/(4\/(-30))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 80078561, 80078560, 80078559?\nAnswer: 80078558","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 divided by 1?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the first derivative of -12*i**2 + 5*i - 2. Is g(-6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (40\/(-30) + 8)*(-20280)\/(-25)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 11*q**3 + 4*q - 13. Let o(r) = -5*r**3 - 2*r + 6. Suppose 3*h = -2*n + 14, 6 = 3*h - h + 3*n. Calculate h*b(y) + 13*o(y).\nAnswer: y**3 - 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 56 and 658.\nAnswer: 2632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*u - 105 = -185 for u.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -27996*d**2 - 24683*d - 1?\nAnswer: -55992","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v and 1 z when three letters picked without replacement from lllulzkvllluluvul.\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 43 = 3*a + 3*h, a = -4*h + 17. Suppose 2*i + 4*g - 3*g = 22, -4*g + 18 = i. Suppose 8 = 4*m - 4. Solve m*z + a = -n, z - n - i = 3*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (60\/40*819\/(-81) - -16)*-52?\nAnswer: -130\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 100999998\/(-5) - (-4)\/(-10). Round v to the nearest 1000000.\nAnswer: -20000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14.6530665 plus 0.1469?\nAnswer: 14.7999665","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 16, z: 4}. What is prob of sequence azaz?\nAnswer: 8\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the second derivative of -149*u**3\/2 + u**2\/2 + 19*u. Let m be d(6). Let x = 1704 - m. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sdoossivooeodse. Give prob of sequence soe.\nAnswer: 4\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 93 and 45982641.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24\/36 - (-40)\/(-3)*-43?\nAnswer: 2, 7, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 38*o - 13*o**3 + 25*o - 327*o**2 - 60*o - 78*o**2.\nAnswer: -13*o**3 - 405*o**2 + 3*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 7*b**2. Let a(q) = -3*q**2 + 5*q**2 - 4*q**2. Give a(d(c)).\nAnswer: -98*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1159108 and 8901?\nAnswer: 989","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -1 + 6\/(4\/2). Suppose -h = b*h - 123. Suppose 4*j - y = 3*y + 4, -5*j = 4*y - h. What are the prime factors of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/a**1*a**(-22))**(-11\/5) assuming a is positive.\nAnswer: a**(242\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*m**2*p**3*z - 6*m**2*p**2*z - 4*m**2*p + m**2*z - 2*p**3*z + 2 wrt p?\nAnswer: 24*m**2*z - 12*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the third derivative of 5\/16*l**4 + 0*l + 1\/2*l**3 + 0 - 3\/40*l**5 - 2*l**2. Factor u(x).\nAnswer: -3*(x - 2)*(3*x + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 11 + 29*v - 7 - 2 in the form o*v + h and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 13\/3 (b) 0.2 (c) -28\/13 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -11939 or -11912?\nAnswer: -11939","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*m + 5*x + 15, 9 = m + 2*x + 2*x for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -3*i**3 + 10*i**2 - 1887. Let y(r) = -r**3 + 2*r**2. What is p(s) - 5*y(s)?\nAnswer: 2*s**3 - 1887","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 4*h**2 + 255*h + 1725. Give p(-56).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -210 times -0.1762\nAnswer: 37.002","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 77 and 2937?\nAnswer: 20559","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that 22*c**2\/13 - 42*c\/13 = 0.\nAnswer: 0, 21\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -2*u - 22. Determine k(-8).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is f in -f**2 + 79029542*f - 1561417127182441 = 0?\nAnswer: 39514771","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -28 - -31. Let u(g) = -3*g**3 + g**2 + 5*g - 2. Let z(f) = -f**3 - f**2 + f + 1. Let t(s) = -u(s) + z(s). List the prime factors of t(l).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, -29, -1\/4 in increasing order.\nAnswer: -29, -0.3, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 6 + (-13 - (-1 + -16)) - (-81 + 40)\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:50 AM and 10:22 AM?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 58696, 58977, 59258, 59539, 59820?\n\"Answer: 281*j + 58415","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 82 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2721\/40 or 67?\nAnswer: 2721\/40","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*k**2\/5 - 31112*k\/5 - 120994568\/5.\nAnswer: -2*(k + 7778)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -289 - 6*m + 0*m + 160 + 129.\nAnswer: -6*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 2, p: 2, g: 1, e: 1, d: 1}. What is prob of sequence ppoo?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -526 - -558. Find the first derivative of 2*x**4 - a + 400*x - x**4 - 3*x**4 - 266*x wrt x.\nAnswer: -8*x**3 + 134","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = y**2 + 4*y + 9. Let k = 372 - 375. Determine x(k).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 58028829 is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 51750462?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dr when two letters picked without replacement from {i: 9, r: 4, d: 4}.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.126 - 0.056. Which is the closest to 0? (a) 1 (b) 5 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(162)*1*-3)\/(sqrt(45)\/(sqrt(5)*-2 + sqrt(5))) + (5*(sqrt(108)*-2 + sqrt(108)))\/(sqrt(6)*-1*3))**2.\nAnswer: 392","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 8842 to the power of 1\/3, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*z + 4*q = 3*z + 41, 5*q = -2*z + 30. Let s be 0*(1*-3 + (-30)\/(-12)). Let d be (-16 - -21)*1*(s - -1). Solve -26 = -2*x - z*p, p - 3*p = -x - d for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-126 - (24 + -35)) + 14 + -21 + 18?\nAnswer: -104","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 385 minutes after 1:10 PM?\nAnswer: 7:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 3 - 9 = -3*o, -5*h + 22 = o. Solve -5*q = -m + o, -5*m + q + 9 = -m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 342*q = 332*q - 12790. Is q bigger than -1279?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 50 and 90.\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -256.87 + 254. Let l = -0.13 + f. Let s = -528.03 + 528. Which is smaller: l or s?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 24385 + -24382. Let z = -2.7 + -0.3. What is the closest to 16 in z, w, -4?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -5, -1, 4110 in increasing order.\nAnswer: -5, -1, 5, 4110","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 25 + -61100?\nAnswer: -61042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5) - (sqrt(5) - sqrt(20)\/sqrt(4)*4))*-5 - (0 + sqrt(125))*-1.\nAnswer: -15*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 53 (b) -4 (c) -0.32 (d) -9\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 3 + 13 - 3*m - 2 + 1. Let j be o(6). Sort j, 2, -4 in descending order.\nAnswer: 2, j, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3138596 to the power of 1\/2, to the nearest integer?\nAnswer: 1772","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 18721 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y - 5 = 3*a, -1 - 19 = 5*a - y for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2490 is divided by 83.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 169 = -3*k - 159, -2*k - u + 11 = 0. Solve 0 = 3*c - g + 5*g - 1, -k*c = -3*g + 37 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*z - 3*c - 62, -c + 2*c = -4. Solve 0 = -z*l + 14*l - 8 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - t = 12, -5 - 13 = -4*j - 2*t. Suppose a + 2 = 4*a - 2*m, 7 = j*a - m. Let z(c) = c**2 + c - 2. Does 7 divide z(a)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 108780 and 174?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cz when two letters picked without replacement from {q: 2, z: 2, c: 8, b: 5}.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -169201*w**3 - 5*w**2 + 4*w + 363 + 169202*w**3 - 362. Let f(l) = l + 2. Let c be f(2). Determine i(c).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p = -3*p + 9. Suppose 10 = p*c - c. List the prime factors of c.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4986272, 4986274, 4986276, 4986278?\nAnswer: 4986280","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 47547\/12*(-60)\/(-45)?\nAnswer: 3, 587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 10 + -7. Let x(w) be the second derivative of -5*w**4\/12 - w**3\/3 + w**2\/2 + 2*w. Let p(r) = 6*r**2 + 3*r - 1. Let j(s) = 4*p(s) + 5*x(s). What is j(i)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 58*s**2 + 115*s - 36. Calculate the smallest common multiple of y(-4) and 288.\nAnswer: 864","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 485701 is divided by 218.\nAnswer: 215","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = z**2 + z - 4. Suppose -5*h = 5*t + 65, -3*t - t - 16 = 0. Let l be p(h). Suppose 0*k = -2*k + 5*w + l, -5*w = 0. Is 34 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 66*u + 1165. What is z(-19)?\nAnswer: -89","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 20*d**2 - 3*d. Let c be v(-2). Suppose 4*j + 42 = -c. Let b = j - -36. Solve 2*n = -12 + b for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1113523+-28217.5\nAnswer: 1085305.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of (36\/24)\/(2\/24)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 378, -0.4, -3\/5, -978?\nAnswer: -978","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 11506319 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -397*p - 2215. What is the remainder when 2264 is divided by z(-7)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -q**2 - 6*q + 12. Let i be g(-6). Let b = i - 11. Let z be 0 + 0 + -1 + b. Solve z = -2*j + 3 + 7 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -99*a + 418451 = 10*a. Is a a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:25 PM and 1:13 AM?\nAnswer: 408","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 92525243 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -43526 at most -43568?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 15144111*o**2 - 728279*o - 11?\nAnswer: 30288222","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = c**2 + 11*c + 11. Let g be k(-10). What is the fourth smallest value in 2\/7, -2\/3, g, 123?\nAnswer: 123","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 63.443*3\nAnswer: 190.329","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -46588596 or -46588597?\nAnswer: -46588596","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p**2\/17 + 10*p\/17 - 8\/17 = 0. Calculate p.\nAnswer: 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 2*n**2 - 2*n - 2. Let o be z(2). Let i(m) = 3*m**o - 2*m**2 + 2*m**2. Let p(v) = -4*v**2 - 4*v**2 + 10*v**2. Calculate i(p(r)).\nAnswer: 12*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7 + -5. Let x = 755 - 751.03. Let w = 0.03 + x. What is the closest to l in 5\/2, 0.2, w?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*w - 0*o - o + 3, 0 = 5*w + 4*o - 1. Let z be -2 + 3 + -7 + 0. Let n be 3\/(-9)*z\/4. What is the closest to n in w, 0.1, -1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*m**3 + 61101 + 65*m - 61101 + 11*m**3 + 14*m**3 - 65*m.\nAnswer: 17*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g\/(g\/(((g*g*g**(3\/2)\/g*g*g)\/g)\/g))*g)\/g*(g\/(g*g**(-1\/4)))\/g)**(8\/3)\/((g**(1\/4))**(-36\/7)\/(g**(2\/13)\/g**(-7))) assuming g is positive.\nAnswer: g**(4306\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 169.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 2045, 4, 2.21 in increasing order.\nAnswer: 2.21, 4, 2045","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -3*n**2 - 12*n - 38. What is a(-10)?\nAnswer: -218","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*7*(-6)\/(-588).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -93569*r - 692 + 692.\nAnswer: -93569*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -k - 2*k, 3*a = -4*k. Let t(s) = s + 5. Let w be t(a). Solve 9*r - w*r = -20 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 204 divide 1513390?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 26 = 2*m, -k + 3 = -m - 2*m. Let t(q) = -q**2 - 93*q + 8. Let r(x) = -x**2 - 77*x + 8. Let a(l) = 6*r(l) - 5*t(l). Determine a(k).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.704 plus -31027?\nAnswer: -31026.296","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -157*u**3 + 2539919*u**2 + 231168675 wrt u.\nAnswer: -471*u**2 + 5079838*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + (16 - 19) - 6?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*c**3 + 0*c**3 + 2*c**3)*(3*c + 3 - 3) - 2*c**4 + 2*c**4 + c**4 + c**4 - c**4 - 2*c**4.\nAnswer: 5*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/((-108)\/(-45))*(-4)\/4*-3.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -192*f**3 - 1292505417061 + 1292505417061.\nAnswer: -192*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w**(-15)\/w*w\/(w*w*w**(-3\/14)))\/((w\/(w*w\/w**(-6)*w))\/w**3))**38 assuming w is positive.\nAnswer: w**(-1273\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 475 a factor of 9510328?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 8.1 in -2, 87, 0.3, 2, 804, -2\/19?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1\/2)\/(1\/(-16)). Let i be ((-3)\/2)\/((-6)\/n). Let j = -14 + 18. Sort i, j, 1\/4 in descending order.\nAnswer: j, 1\/4, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 21*q**2 - 1. Let j be g(1). Let v = -11 - -20. Let w = v + -4. Solve -j - 5 = w*y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 154.\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -48, 0, -1\/3, -0.193, -1, -0.1?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0\/(-1) + 0 - -4. Suppose g - u = -c*u + 72, 3*g = -2*u + 244. Suppose 2*b - g = 4*a, 9*a = -b + 4*a + 70. Is b a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11685747 divided by -13?\nAnswer: 11685747\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -300 + 308. Suppose -1168 + 304 = -z*a. What is the greatest common factor of a and 27?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*c**2 + c**2 - 6*c**2 - 83 + 83 + 5583*c**2 + 2588*c**2 + (c**2 + 0*c**2 + c**2)*(5 - 3 - 1).\nAnswer: 8170*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22001442 is divided by 1833450?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23547 is divided by 1939.\nAnswer: 279","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i**2 + 17*i - 38 = 0. What is i?\nAnswer: -19, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (l + 2*l + 2*l)*(-1305*l + 1086*l - 1525*l) to y*l + a + v*l**2 and give v.\nAnswer: -8720","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 5, v: 1, l: 2, d: 7, h: 1}. Give prob of picking 1 v, 2 d, and 1 h.\nAnswer: 3\/260","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 206586 and 125.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p when two letters picked without replacement from pmpp.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 4.31 to the nearest integer.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 10503337 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -2.04 times 0.017\nAnswer: -0.03468","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4885 is divided by 169?\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -11, 5, -265\/3?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 44950 and 446555?\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 8633 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1638506015 - -2?\nAnswer: -1638506013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 157, 395, 733, 1165, 1685, 2287, 2965?\nAnswer: 3713","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 3*x. Let a(h) = 42 - h - 42. What is a(r(n))?\nAnswer: -3*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 3*f**2 - f + 407. Is a(0) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3005*w - 16409 + 139297 + 149675 - 20143 = 0 for w.\nAnswer: -84","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -43 + 47. Let c = 10 - 5. Let x(z) = -3*z**2 + z + 2. Let r(h) = 4*h**2 - h - 3. Determine c*x(q) + d*r(q).\nAnswer: q**2 + q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 = 5*q - 10, -3 = -z + q. Let o = 343 + -346. Is z bigger than o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.98 - -0.02. Let l(s) = s - 2. Let n be l(2). Which is the smallest value? (a) n (b) 5 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-4)\/6 - 7444\/(-6)?\nAnswer: 2, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (98\/21)\/(1\/3). Let q = b - 8. What are the prime factors of q?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 536179 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w\/(((w*w**(-33))\/w)\/w*w*w*w*w))\/w)\/w)\/w*w*w*w*w**35 assuming w is positive.\nAnswer: w**66","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -402 + 11212?\nAnswer: 10310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x**3 - 8*x**2 - x + 8. Let c be q(8). Solve c = -4*k - k + 15 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 21 + 9 - ((-4 - -10) + 5).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1 + 0. Let u(d) = 7*d + 68. Let a be (-3 - -2)\/((-2)\/(-18)). Let b be u(a). What is the nearest to -1\/6 in 3\/4, i, b?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 201*d - 195*d = 18156. Is d a multiple of 89?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0001308 rounded to 5 decimal places?\nAnswer: -0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 144.5 - 145. What is the nearest to 1 in p, -4, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 8) to base 10\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1876919936.\nAnswer: 2, 73, 200869","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -1, -5, 10, 5 in decreasing order.\nAnswer: 10, 5, 0, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/23 (b) 0 (c) -2\/9 (d) 8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:55 AM and 5:43 PM?\nAnswer: 708","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + sqrt(40)\/sqrt(5).\nAnswer: -5 + 2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 871*i**3 - 3*i**2 + 1 - 865*i**3 - 3 as l + s*i**2 + y*i**3 + h*i and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*s + 8*s - 4. Suppose 0 = 2*l + 4*v - 16, 0 = -3*l + s*l - 4*v + 8. Solve 3*m - 5 = l*m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j**(-4)*j)**(-3\/2)*(j\/(j\/j**(-4))*j)\/(j*j*j**(-20)) assuming j is positive.\nAnswer: j**18","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (42\/12 + -4)*(-5 + (-1 - -6)). Is -1\/10390 > w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*q**3 - 6*q**4 - 6*q**3 + 3*q**2 - 455 + 468 - 6*q - 2*q**4 + 7*q**4 as j + i*q**4 + g*q**2 + c*q + f*q**3 and give c.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (h**3 - 4*h**2 + 4*h**2)*(3 - 4 + 3) + (0*h**2 + 0*h**2 + h**2)*(-3*h + 0*h + 2*h).\nAnswer: h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 600 and 1734027?\nAnswer: 346805400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(28\/(-10)))\/(20\/(-40))\nAnswer: -10\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 2*s - 4)*(-3*s + 3 + 8 - 7).\nAnswer: -6*s**2 + 8*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k - 3*k = 123. Suppose 0 = 79*v + 67 + 644. Let u = v - k. Does 12 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that o**4\/4 + 17*o**3\/4 + 57*o**2\/4 + 67*o\/4 + 13\/2 = 0.\nAnswer: -13, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 12*x - 2*x - 20. Let z(b) = 3*b - 3. Calculate the remainder when 3 is divided by z(x).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(35) + (-2*sqrt(105))\/sqrt(3) + sqrt(35) - 2*sqrt(4235))\/((sqrt(126)\/sqrt(2)*2)\/sqrt(9)).\nAnswer: -11*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2085571 to the nearest integer?\nAnswer: 1444","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 352 = -2*m + 192 + 174 for m.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -6, -5, -38.167 in increasing order.\nAnswer: -38.167, -6, -5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 39*z**2 + 44*z**2 - 5 - 84*z**2 - 45*z. What is the units digit of g(-21)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2 (b) -7.8 (c) -0.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -2439758, -2439713, -2439668, -2439623, -2439578, -2439533?\n\"Answer: 45*d - 2439803","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -21*y - 76. Determine x(-2).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/((2511\/(-24))\/31).\nAnswer: -8\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -15, 4, -5 in descending order.\nAnswer: 4, 1, -5, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(363) + (sqrt(363) - -3*5*sqrt(363))) + (4 + sqrt(108) - (sqrt(243) - (sqrt(243) + -4)))**2.\nAnswer: 108 + 561*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (1\/3 + 410\/(-1302))*(-749)\/(-214)\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (28\/(-20) + 2)\/((-6)\/(-90)). Let s(v) = -21*v + 9. Let a(h) = -2*h + 1. Let f(o) = x*a(o) - s(o). Let n(m) = 2*m. What is f(n(y))?\nAnswer: 6*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = w + 1. Let i(k) = 22. Let c(m) = 5*m - 131. Let a(t) = c(t) + 6*i(t). Let l(f) = f**3 + 7*f**2 + 6*f + 4. Let j be l(-6). Calculate j*u(n) - a(n).\nAnswer: -n + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -81 - -70. Let s(y) = -y**3 + 7*y**2 - 1. Let h be s(7). Calculate the remainder when 19 is divided by (0 + h)\/(1\/u).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1773310?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 3292 = 5*y, -7*c - 1306 = -2*y - 5*c. Does 41 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1.6 - -2. What is the third smallest value in 3, 3\/7, i?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 518987 is divided by 1536?\nAnswer: 1355","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 21 + -18. Let f be (-8)\/(-24) - (-6929)\/30. Let x = f - 231. Which is the closest to x? (a) n (b) -1 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:51 PM and 11:43 PM?\nAnswer: 172","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 766167 and 1845?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 495 and 75690.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -217802400*w**3 + 376*w - 138385.\nAnswer: -1306814400*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12282 - 1968 = 797*b + 6669 + 13352 for b.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*-6*(sqrt(5) + 3 - sqrt(5))**2 + sqrt(35)\/(sqrt(7)*-3*-3 - sqrt(7)).\nAnswer: -324 + sqrt(5)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 19 - 14. Sort 1, b, 0 in ascending order.\nAnswer: 0, 1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6953*-0.7\nAnswer: -4867.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -11\/12 + 2\/3. Let x = -16.6 + -10.9. Let d = x - -28. Which is the second smallest value? (a) d (b) z (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.2 - 0.1. Let z = -0.02 + 0.32. Which is the nearest to o? (a) 3 (b) -2 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -363 = -130*h + 27. Let j be (-20)\/(-6) - (-4)\/6. Suppose -j*g - h*k + 1168 = k, -g + 4*k = -297. Is g a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -77 - -25. Let d be (-121)\/(-17) - h\/(-442). Let l(f) = f**3 - 7*f**2 + 4*f + 2. Determine l(d).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 4*c**2 + 5*c - 5. Let v(w) = -3*w**2 - 4*w + 4. Suppose 21*z - 22 = 10*z. Determine z*h(k) + 3*v(k).\nAnswer: -k**2 - 2*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1511 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: Suppose 5*i - 1780 - 2885 = 0. Let m = 1840 - i. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1566 = -39*x + 126*x. What is the highest common divisor of 288 and x?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 8, t: 2, j: 2, n: 1}. Give prob of sequence ttj.\nAnswer: 1\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -148095.9 to the nearest 10000.\nAnswer: -150000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -t - 0*t - 3*r, -r - 1 = -2*t. Suppose 2*m + t*m - 10 = 0. Is (m - (-15)\/2)*2 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 17 - 7. Suppose l + 0*l + o = 0. Let c be ((-4)\/(-10))\/(2\/l). Which is smaller: c or -1?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -880 take away -2?\nAnswer: -878","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -y + 1. Let k(w) be the first derivative of w**2 + w - 32. Determine k(f) + m(f).\nAnswer: f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 618464 and 57344.\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8, 3, 38, 109, 228, 407, 658, 993?\nAnswer: 1424","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -3, 46533, 2, -7, 1, 3.\nAnswer: -7, -3, 1, 2, 3, 4, 46533","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 324 equal to 327?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 62 = 5*m + 4*q, -4*m + 50 = 20*q - 17*q for m.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 446 a factor of 595281?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -4*w**2. Let y(k) = 14*k - 41*k + 19*k + 11*k. What is s(y(t))?\nAnswer: -36*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 28*44\/77 + -6. Solve 33*v - 175 = -b for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 25910112 to the nearest integer?\nAnswer: 296","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 171 and 451161.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 - 2 - (-20 + 17 + (2 - -75 - 17)).\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) be the first derivative of y**3\/3 - 6*y**2 + 5*y - 128. Let p be 23\/2 + (-6)\/(-12). Give a(p).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -c**3 + 7*c**2 + 9*c - 12. Let s be o(8). Let z(q) = -5*q**3 - 7*q. Let g(m) = -3*m**3 - 4*m. What is s*z(u) + 7*g(u)?\nAnswer: -u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = l**2 - 15*l + 61. Let o be (-870)\/783 + (-347)\/(-45) + (-8)\/5. What is p(o)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 32*p - 323. Give f(10).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 162 = 2*y, -4*y + 80 = 3*n - 200. Let c = y + -53. Calculate the least common multiple of 18 and c.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0 + (-151)\/3*1. Let b = o - -51. Factor b*d**2 + 0 - 2\/3*d**4 + 2\/3*d - 2\/3*d**3.\nAnswer: -2*d*(d - 1)*(d + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-190)\/114)\/((25\/(-40))\/(5\/20)). Let w be 1 + 1 + (-3305)\/7. Let j = 471 + w. What is the nearest to t in -0.5, j, 4?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/(p*p*p*p**(-1)\/p))**(-2\/45))**(-1\/7)*((p**1)**(-4))**(-2\/31) assuming p is positive.\nAnswer: p**(8\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 13385*s - s**2 - 2*s**4 - s**2 - 22*s**3 + 15*s**3 + 13381*s to the form b*s**3 + d + c*s**4 + x*s + j*s**2 and give x.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 11574 and 2678738?\nAnswer: 1286","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) be the second derivative of -g**3\/3 + 5*g**2 - 12*g - 1. Let b be u(5). Solve -4*c - 12 - 8 = b for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8417*m - 7753*m = 71048. Suppose 2*a - 637 = -3*c, 658 = -a + 3*a - 4*c. What is the remainder when a is divided by m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22879607 is divided by 34?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:34 AM and 8:54 PM?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -91054 greater than -91170?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-48*f + 21*f + 22*f)*(-5*f + 2*f + 2*f**2 - 6*f) to the form k*f**3 + j*f**2 + o + g*f and give j.\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 877028 is divided by 85?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u + 8*n - 20 = 0, -5*n - 446099 + 446111 = 3*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -450 + 1351\/3. Which is the nearest to -1? (a) 4 (b) i (c) 6 (d) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -407 times -0.1\nAnswer: 40.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 806 and 702.\nAnswer: 21762","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 563 at least as big as 241096\/429?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve i - 86 = 3*t + 250 - 352, 3*t = 15 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - c + 20 - 112 = 0, 0 = c - 3. Let o = 20 + d. Let r(t) = 6*t + 63. Let m be r(-10). What is the highest common divisor of o and m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-3742)\/3*(221\/26 - 10) is divided by 93.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (-1*sqrt(13) + -1 + sqrt(91)\/sqrt(112))**2.\nAnswer: 69\/16 + 3*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*q + 2 - 10 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -27867 times 0.02\nAnswer: -557.34","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -189 + 105. Let n = h - -29. Is n not equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -59 (base 12) to base 2\nAnswer: -1000101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12272 + 13123 = 660*v - 21778 - 20271 for v.\nAnswer: 65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 476, 1919, 4328, 7703?\n\"Answer: 483*u**2 - 6*u - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - -2) + (-1 - (3 + 2))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pzppzlplzzllplppll. What is prob of picking 2 l?\nAnswer: 7\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-28)\/(-3 + -4) + 266. What is the remainder when -4 + 5 + h + 9 is divided by 24?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 80, 53, -10, -115, -268?\nAnswer: -475","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1046, 3928, 8698, 15362, 23926, 34396, 46778, 61078?\nAnswer: 77302","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 8\/1025? (a) 6 (b) 0.2 (c) 226 (d) -5 (e) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the second derivative of 14*g**3\/3 + 19*g**2\/2 + 35*g. What is the derivative of r(s) wrt s?\nAnswer: 28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -264108*l**4 + 40663 with respect to l.\nAnswer: -1056432*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 97\/2808 and 31\/144?\nAnswer: 5616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4781 to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.26 or 13624055?\nAnswer: 13624055","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a**3 + 62*a**2 + 4*a + 247. What is o(-62)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h + 2*u + 4 = 0, -2*h + 15 = -1049*u + 1052*u for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = c**3 + c - 1. Suppose -30 = -0*b + 6*b. Let z(o) = -15*o**3 + 7*o + 31. Let m(x) = b*h(x) + z(x). Find the second derivative of m(p) wrt p.\nAnswer: -120*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2862 and 2700?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uqqullpqqqplq. What is prob of picking 1 q and 1 p?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lipi when four letters picked without replacement from {i: 3, p: 1, l: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 3 + (-1 - 0) - (-418 - -423)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 2, j: 1, f: 4, l: 3, y: 1}. What is prob of sequence ly?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 8*n**3 - 9*n + 7. Let p(c) = 17*c**3 - 19*c + 15. Let o(g) = -g**2 - 19*g + 90. Let v be o(-22). Suppose -20*k = -24*k - v. Give k*p(x) + 13*y(x).\nAnswer: 2*x**3 - 3*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 0, 12, 144, 39856 in descending order.\nAnswer: 39856, 144, 12, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 7*r - 10 = 0. Let g = 225 + -225. Sort g, -6, -4, r in increasing order.\nAnswer: -6, -4, r, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one halves of a litre in millilitres?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 2 d when three letters picked without replacement from qqkddkkkkbkqqfkbkfq?\nAnswer: 5\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6575 + 34*x**2 - 31*x**2 + 470.\nAnswer: 3*x**2 - 6105","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ajb when three letters picked without replacement from {b: 2, a: 4, j: 5}.\nAnswer: 4\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000004870924 rounded to 7 decimal places?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27039 = -56*h + 123265. What is the greatest common factor of h and 61?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*f + 5*s, -14 = 4*f - 5*s + 4 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 676 minutes after 7:11 AM?\nAnswer: 6:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -692348 - 0.1\nAnswer: -692348.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 3 = -2*l - 5, -2*c - 2*l = 2. Sort -1, -2, c in descending order.\nAnswer: c, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2611\/3 - 871. Let q = -5 + 5.4. Which is the nearest to -0.1? (a) m (b) q (c) -47\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 11\/236964 and -127\/118482.\nAnswer: 236964","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-105)\/28*-4*4\/(-40).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 2*o**3 - 69*o**2 + 33*o + 36. Let x be m(34). Solve -4 = -x*s + a, s - 4*s + 4*a = 4 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the second derivative of -11\/2*z**2 - 5\/3*z**3 + 1\/12*z**4 - 1 + 50*z. What is t in c(t) = 0?\nAnswer: -1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -8*m - 3. Suppose -1 = -f + 1. Let a be g(f). Let n = 22 + a. Is 3 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (102 - 151 + 213)*(4 - 3 - 2)*(-3*s**4 + 3*s**4 + 8*s**4).\nAnswer: -1312*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 6\/(-4) + (-59)\/(-2). Suppose -x = -2*g + 2. List the prime factors of g.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 25 - 34. Let p = 1364 - 1373. Is l > p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 124 - 69. Let a be (o\/3 + -2)\/((-4)\/(-12)). Let r = a - 21. Is r a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 716a563 + -9?\nAnswer: 716a559","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 127*d + 3 + 3 - 6 + 13*d.\nAnswer: 140*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5409 is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r**4\/7 - 639672*r**3\/7 - 51150731708*r**2\/7 - 511459342680*r\/7 - 1278608378450\/7 = 0.\nAnswer: -159913, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -15 - -19. Let l be 1 - (x + (-5)\/1). Let t(w) = -w**2 - 2*w**2 + w**l + 0*w**2. Let k(g) = -5*g**2. Determine t(k(n)).\nAnswer: -50*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7169637 - 236654624\/33. Let t = -1716 - g. Calculate the common denominator of t and -5\/6.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-29)\/((-3828)\/(-99)))\/(5\/(5\/6))?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 19616175 plus 1512.053?\nAnswer: 19617687.053","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 100, 97, 92, 85, 76, 65, 52?\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 61*h**2 - 18*h**2 - 20*h**2 - 24*h**2.\nAnswer: -h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 52 + 7?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u = 7*n - 384 + 305, -4*u - 52 = 4*n for u.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = -8 - 112. Suppose -4*u - a = -8, 0 = -w + 5*u + 223. Let g = w + -70. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2419216 is divided by 1792.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 35 is divided by 24?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 16 - 13. Suppose 0 = 4*o + b*j - 25, 5*o = -0*o + 5*j + 5. Suppose t + o*l - 14 = 0, -t + 6*t - 2*l = 4. Solve -t*v = 2*v + 4 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -44*d. Let i(n) = -4*n**2 - 5*n - 5. Let b(y) = -2*y**2 - 3*y - 3. Let q(r) = 5*b(r) - 3*i(r). What is q(j(l))?\nAnswer: 3872*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3 + 7. Suppose -5*m = -4*x + 31, 5*m - d*m + 3 = 0. Suppose x = -4*y + 4*z - 4, 13 = -2*y + 5*z. Are 2 and y nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 11, 18, 29, 44?\n\"Answer: 2*o**2 + o + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.628929 take away 0.7?\nAnswer: 2.928929","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 7*f + 4 - 4 - 1. Let r(u) = 8*u - 1. Let t(y) = -3*g(y) + 2*r(y). Is t(-4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 4*b - 1)*(-2*b + 3*b + 0*b).\nAnswer: 4*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*h + 5*f = 9*h + 10*h - 39, 18 = -2*h - 4*f for h.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -1 + (6\/(-3) - -17). Suppose -2*p + 0*p - x = 0. Let i = 1 - p. What is the units digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 3*i = -2 + 22, -3*i - 60 = -3*g. Let c = 20 - g. Suppose c = 7*u - 123 - 304. List the prime factors of u.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 116982?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 6 = -2*m, -24 = 61*m - 62*m - 2*t. Solve 78*z + m = 84*z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-220)\/55 - ((-14)\/10 + (-36)\/60)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 622 divide 1021976372?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 23668 or 402380\/17?\nAnswer: 402380\/17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.0585 - 0.4415. Which is the nearest to -3\/5? (a) -3 (b) 1.2 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -p**3 - 19*p**2 - 21. Let s be c(-19). Suppose g = -g + 68. Let z = g + s. What is the remainder when 35 is divided by z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -96*l - 46*l + 68*l + 17*l - 230*l as j*l + m and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 2*b = 4. Suppose 4*u = h + b*h - 7, -u - 4 = -2*h. Solve h*n - 8 = -n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that 1577*o**2 - 54*o**4 + 1154*o**4 - 124 - 5057*o**3 - 4 - 32*o + 1159*o**2 - 23*o**3 = 0.\nAnswer: -2\/11, 2\/5, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*c**2 + 24*c + 22.\nAnswer: 2*(c + 1)*(c + 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 2*h**3 + 7*h**2 - 96*h - 471. Give l(-5).\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 27\/5 of a minute?\nAnswer: 324","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = o. Let j(x) = 5 - 2 - 1. Let n be ((-1)\/2)\/(-3 + (-14)\/(-4)). Determine n*w(b) - j(b).\nAnswer: -b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 42135167.\nAnswer: 41, 1027687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ezehehhhheceeeeeezhk. Give prob of sequence eeh.\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a**3\/3 + 664*a**2 + 1000337*a\/3 + 4539010 = 0. What is a?\nAnswer: -1063, -915, -14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-77)\/(-1540))\/(4\/1360). Let m(b) = 2*b**2 - 10*b + 2. Let u be m(5). Solve g - 5*w = o, -6*g + u*w = -7*g - 11 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1 + -2. Let f be (-2)\/(g\/((-2)\/10)). Let d be (-2831)\/5035 + (-2)\/53. Sort f, -1, d in ascending order.\nAnswer: -1, d, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 1770, 3614, 5530, 7524, 9602, 11770?\n\"Answer: q**3 + 30*q**2 + 1747*q - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -16203 to the nearest 1000.\nAnswer: -16000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 30714393 a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-6)\/(-3 + 36\/8). Let m = w - -5. Solve -m - 1 = 2*z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 95.\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*((-1)\/8*-4)\/1?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that -q**4 - 2967457*q**3 - 11869817*q**2 - 14837267*q - 5934906 = 0.\nAnswer: -2967453, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1873?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5262654 to the nearest integer?\nAnswer: 174","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -3*z**2. Let c(i) = -14*i**2 - 7*i - 59. Let x(u) = -5*u**2 - 2*u - 16. Let y(m) = -2*c(m) + 7*x(m). Give y(q(n)).\nAnswer: -63*n**4 + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 91656419?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (915 - 933) + (5 - 6 - (-7 + 1)).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*l + 2*l + 2*l)*(-1 + 4 - 2) + 3*l + 6*l - 3*l - 16*l + 7*l - 1 + 24*l.\nAnswer: 22*l - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -4 or -183\/37?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 2433 to the power of 1\/3, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -32927, -66492, -100057?\nAnswer: -133622","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 111278 is divided by 10115?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3696 and 692024?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 1420 (base 5) to base 8\nAnswer: 353","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -897802 by -1.\nAnswer: 897802","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5171 + 8334. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, t: 3, c: 3}. Give prob of picking 1 c and 1 t.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*o**2 - 3*o**4 + 2*o**2 - 2*o + 3*o**3 - o**3 to b*o**3 + h*o + x*o**2 + y + s*o**4 and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 11887 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*i + i + 15. Suppose -i*x = 2*x - 90. Let v be (-1 + 4)\/(x\/24). Solve -g + 3*g - 31 = 5*t, -v*t - 5 = 5*g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 5*x - 4*k, 3*x - 4*k - 8 = -x. What is the lowest common multiple of 287\/91 - x\/13 and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 384 - 128 - 2*o - 256 - 2*o.\nAnswer: -4*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-2)\/(-3))\/(2*2\/(-10)). Let g be (1\/((-6)\/2))\/(3\/(-2)). Which is bigger: w or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -153, -154, -155?\n\"Answer: -x - 152","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31133?\nAnswer: 163, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*p - 2*p + 3*p)*(p**4 - p**4 + 2*p**4) + p**5 + 2*p**4 + 2*p**4 + 0*p**5.\nAnswer: 3*p**5 + 4*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.1468 - -0.1532. Let a = 57.28 + -0.28. Sort 1\/3, n, a in descending order.\nAnswer: a, 1\/3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1 + 1. Let w(x) = x**2 - 10*x. Let c be w(10). Find the third derivative of c*g**3 + 2*g**2 + g**6 + s*g**2 + 0*g**3 wrt g.\nAnswer: 120*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -16*j**4 - 4*j - 3*j**3 + 19*j**2 - 5*j**4 - 21*j**4 + 2 + 64*j**4 - 23*j**4 in the form i + o*j**2 + m*j**3 + t*j**4 + k*j and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 6682693?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -t**3 - 8*t**2 - 13*t - 31. Suppose 108*p = 32*p + 41*p - 245. Determine u(p).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -26688, -106830, -240440, -427518, -668064, -962078, -1309560?\nAnswer: -1710510","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 49, -402 in increasing order.\nAnswer: -402, -3, 49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Add together 6353528066 and -0.11294.\nAnswer: 6353528065.88706","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 6, -0.4, -0.2, 2\/3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1087 + -1087. Let p(y) = -y**3 + 21. Determine p(t).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 492797 and 145.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:29 PM and 4:29 AM?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 862201800?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -3*(-22)\/(-41580)*70\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 458227481 is divided by 152742493?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 715 minutes after 3:13 AM?\nAnswer: 3:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 2\/22493133 and 37\/3460482.\nAnswer: 44986266","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 704 minutes before 3:04 AM?\nAnswer: 3:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 9 - -170a?\nAnswer: 1718","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -1759, -23, 3, 5 in ascending order.\nAnswer: -1759, -23, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7*(-4)\/(-84)*-9.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 1\/10 of a decade?\nAnswer: 1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -156 + 14*l**3 - 93*l**3 - 221 + 377.\nAnswer: -79*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -10*t**4 - 33 + 11*t**4 - 9*t**3 + 53*t + 32 wrt t.\nAnswer: 12*t**2 - 54*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -73\/690592 and 37\/295968?\nAnswer: 2071776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.63 - 1.83. What is the second biggest value in 2, f, -2, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -93\/262 at most -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -94*r. Let k be s(1). Let h be (-1)\/(-4) + k\/(-8). Suppose -2*c + 3*c + h = 2*i, i + 5*c = -5. Solve i = -2*d - 5 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1080 + 1085. What is the highest common divisor of l and 16?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -662, 2602, 4.\nAnswer: -662, 4, 2602","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 6\/(-152)*((-1336)\/78)\/(-2). Let c = -7\/38 - s. Calculate the common denominator of (17\/3)\/((-20)\/6) and c.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(27)\/(sqrt(27)\/sqrt(3))*1 + 2)**2 + -1 - -6*-2*(sqrt(48))**2*3.\nAnswer: -1722 + 4*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2508, -18907, -62506, -146613, -284536?\nAnswer: -489583","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -10 + 8 + (0 - -1)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 46734 is divided by 25?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -l**3 + 6*l**2 - 4*l - 7. Determine a(5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) be the third derivative of 0*q**3 - 1\/8*q**6 + 0*q - 13\/20*q**5 - 1\/24*q**4 - 4\/105*q**7 + 0 + 209*q**2. Find the third derivative of h(w) wrt w.\nAnswer: -192*w - 90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -48 (base 9) to base 14\nAnswer: -32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 4*w = -9, -w + 2*w = 3*d + 1. Let x be 95\/20 + d\/(-4). Solve 4*t = 2*i - 5*i - x, 0 = 3*t + i + 5 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -295 = 2*y + 3*y. Let c = y - -27. Let k = 79 + c. Does 16 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*q + 17*q = 20 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*c + 1 + 119. Let n be 44\/(-11) - (0 - c). Let r = 203 - n. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 575707 and 6567?\nAnswer: 2189","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 304593?\nAnswer: 3, 101531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 2281183 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -961\/3 (b) -4 (c) -1\/3 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21299929457 + -5.\nAnswer: 21299929452","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -16212 + 18012. Calculate the smallest common multiple of 700 and w.\nAnswer: 12600","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((1*2*sqrt(216) - sqrt(216)) + sqrt(216))\/sqrt(8))\/(sqrt(108)\/((sqrt(132) + (sqrt(132)*1 - sqrt(132)))\/sqrt(11))).\nAnswer: 2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -0.461 (b) -6\/19 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 2*p + 3. Let i be j(-4). Let b = 2 + -3. Is 1 + (0 + b)*i a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -66183\/30820 + -4\/1541. Let k = d + 7\/4. Is 0 bigger than k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -122 (base 4) to base 8.\nAnswer: -32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3427*o + 1952*o + 10325 for o.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 20\/(-400)*(3 - (-28)\/(-4))*2699965 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g**3 - 4*g**2 + g. Suppose -24 = -3*z - 4*v, 2*z - 2 - 3 = v. Let a(d) = 21*d - 76. Let l be a(4). Suppose l = z*t - 2*t. Calculate x(t).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1258362268*t - 367482987 with respect to t.\nAnswer: 1258362268","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000382913 to seven dps.\nAnswer: -0.0000038","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m and 2 o when four letters picked without replacement from {o: 2, m: 2, l: 1, g: 1, w: 1}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(1296))\/(sqrt(8)*-1*5)*5.\nAnswer: 9*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 81579.\nAnswer: 3, 71, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.2 and -78.1?\nAnswer: 77.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 14*m**2 + 158*m - 32. Give b(-12).\nAnswer: 88","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*-1*sqrt(21))\/(sqrt(112)*-1 - sqrt(7)).\nAnswer: sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 14, 2\/11, 2\/3, -0.03, -0.3 in decreasing order.\nAnswer: 14, 2\/3, 2\/11, -0.03, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 117*m**4 - 2*m**2 - 4*m - 234. Let s(o) = 118*o**4 - 3*o**2 - 5*o - 234. Let t(p) = -5*j(p) + 4*s(p). What is the first derivative of t(c) wrt c?\nAnswer: -452*c**3 - 4*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:40 PM and 12:09 AM?\nAnswer: 149","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1121 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 30139614904949 - 4?\nAnswer: 30139614904945","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*w**2 + 56575753*w - 79 - 56575751*w - 32*w**2 in the form m*w**2 + g*w + i and give i.\nAnswer: -79","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 9701 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -516, -558, -610, -672, -744, -826?\nAnswer: -918","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/((r\/r**(-2\/3))\/r))\/r**(-5))\/(r\/((r**2\/r)\/r*r*r)*(r\/(r**(-1\/5)\/r))\/r) assuming r is positive.\nAnswer: r**(77\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out 25.1 * -0.05.\nAnswer: -1.255","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 13071, 23712, 34353?\n\"Answer: 10641*a + 2430","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + d + 1549 = 29, -4*d = -3*q + 912. Which is the second biggest value? (a) q (b) -2\/17 (c) -0.12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 20 - 122111021121?\nAnswer: -122111021101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 0 + 0)*(-26 - 31 + 59 - 104*i).\nAnswer: -208*i + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 6 (base 13) to base 8\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -9*u - 7. Let l be m(-7). Let n = l + -16. Is 20 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the second derivative of z**6\/45 + z**4\/8 + 4*z**3\/3 - 5*z. Let l(f) be the second derivative of k(f). Differentiate l(p) with respect to p.\nAnswer: 16*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b + n = -4, -b = 39*n - 497 + 182 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 8 and 368.\nAnswer: 368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 714\/4 + 1 + 41\/82. Let y = s - 172. Sort y, -5, 1 in descending order.\nAnswer: y, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5 + 6. Let l be j\/(-3) - 1\/(-3). Suppose -6399980 = 4*x - 4*b, -5*x - b - 2651294 - 5348711 = l. What is x rounded to the nearest 1000000?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 1 + 0 + 5*n)*((2*n - n + n)*(5 - 3 - 1) - 3*n + 4*n + 0*n)*(-3 + 2 + 5) to the form q + x*n**2 + w*n and give w.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) -52 (b) 4 (c) -1\/2 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = -4*l - 39, 0*d + 60 = 2*d - 2*l. What are the prime factors of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 16) to base 5.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1311 to the power of 1\/2, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7)\/(-2)*(-44 + 42)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2884 and -19.\nAnswer: 54796","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -47*a*f*w**2 - a*f*w - 12130*a*f - 3939*a*w**2 - 3*f*w**2 + 4*f*w - 2*f + 2*w**2 + w wrt w.\nAnswer: -94*a*f - 7878*a - 6*f + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1, 37, 89, 149, 211?\nAnswer: 269","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p - 2*j = -24, -3*p + 14*j - 564 + 636 = 0 for p.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -18493\/27 - -685. Let h(c) be the second derivative of -3*c + 0 + 23\/135*c**6 + 0*c**2 + 13\/54*c**4 - 3\/10*c**5 - 1\/27*c**7 - m*c**3. Factor h(b).\nAnswer: -2*b*(b - 1)**3*(7*b - 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*z = -5*t - 13*z + 48541, -z + 29161 = 3*t. List the prime factors of t.\nAnswer: 2, 43, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 66644330 to the power of 1\/3, to the nearest integer?\nAnswer: 405","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 s when two letters picked without replacement from {s: 2, b: 5, q: 9}?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -46 (base 13) to base 8.\nAnswer: -72","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -9956*n - 3*n**3 + 9956*n + (-3*n**2 + 2*n**2 - n**2)*(-n + 0*n + 3*n) + 2*n**3 - 11*n**3 - 7*n**3.\nAnswer: -23*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 29991.7 litres to millilitres.\nAnswer: 29991700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -73 + 73.7. Let c = -9.9 + 1.9. Let j = -5 - c. Are j and i non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = i**2 - 2*i + 2. Let j be s(-5). Suppose 2*v - j - 77 = 0. Let p = v - 32. Solve 5*d = n + p, d - 5 = n + 2*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t, 1 d, 1 o, and 1 s when four letters picked without replacement from {s: 1, o: 3, t: 1, d: 1, a: 1}?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -7*n - 16. Calculate the remainder when w(-8) is divided by 11.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17369157 to the power of 1\/4, to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(156)*-4 + sqrt(156))*6*6)\/((2*-2*sqrt(84))\/(sqrt(7) - 4*(sqrt(7) - sqrt(28)))).\nAnswer: -585*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11 = -6*s - p, -3*p = 6*s - 4*s + 1 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*b = -4*m + 38, -5*m - 2*b + 20 = -1 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6047 is divided by 1209.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in -6\/5, 3, -0.4, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3*(-1)\/6*62. Suppose 0*y + c = -5*y + 251, 0 = -4*c + 4. Let h = i + y. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/2, 3\/5, 52, -1.2 in descending order.\nAnswer: 52, 3\/5, -1\/2, -1.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) be the first derivative of -1\/2*t**2 + 1\/3*t**3 - 3 - 4*t. Let d(p) be the first derivative of v(p). Differentiate d(c) with respect to c.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 2*w**3 - 11*w**2 + 18*w - 79. Give f(5).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -z**3 + 7*z**2 + 4*z - 37. Calculate the remainder when 134 is divided by d(4).\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1134757?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 199.5 (b) 2 (c) 23 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 29648304?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 20*i**2. Let b(y) be the third derivative of -y**5\/15 + 62*y**2. Give r(b(h)).\nAnswer: 320*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -14 (base 13) to base 7\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:23 AM and 8:32 AM?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8576947 centuries to decades.\nAnswer: 8.576947","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 142 minutes before 3:49 PM?\nAnswer: 1:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 32662*d**2 + d + 9372 wrt d.\nAnswer: 65324","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 39\/2576 and -77\/368.\nAnswer: 2576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/(-84))\/(-48 - 12124\/(-252))\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 3*n**2 + 75*n + 9. Let f be j(-25). Suppose f*b + 1281 = 1281. Put -13, b, -2, 2 in decreasing order.\nAnswer: 2, b, -2, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 9*v**2 + 4*v - 126. Let f(l) = -68*l**2 - 30*l + 954. Let m(k) = 38*d(k) + 5*f(k). What is m(8)?\nAnswer: 126","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y when two letters picked without replacement from yyyyyyyyy?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 - -1 - (5 - (1 - -6)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-9)\/3 + 4)\/((-1)\/(-4)). Solve k + n = -3*o, 4 = o - 7*k + 2*k for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -275, -370, -405, -368, -247, -30, 295?\nAnswer: 740","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 626, 1253, 1880, 2507, 3134?\n\"Answer: 627*v - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at most 20586?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(475) + 1 - sqrt(475)) - sqrt(475).\nAnswer: -5*sqrt(19) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 103255346 + 11?\nAnswer: 103255360","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2778633626?\nAnswer: 2, 3917, 354689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let -18*v**5 + 1173*v**4 + 2235*v**3 - 1575*v**2 - 2217*v + 402 = 0. What is v?\nAnswer: -2, -1, 1\/6, 1, 67","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/24)\/(2\/(-6)).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1269.\nAnswer: 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -172*t - 728*t = -393*t + 6591 for t.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 106653046?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18476 = -7*z + 2*z + 3*o, 4*z - 4*o - 14784 = 0. Let u(i) = 35*i - 33. Let k be u(1). Suppose k*p + z = 4*p. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-110)\/(-20) + 1 + -3)*2. Solve 0*v - p*v + 28 = 0 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1603 less than or equal to 1542?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 26.5 - 19. Let q = y + -8. Let m = q - 0. What is the nearest to 1 in -0.2, -3, m?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that -8*s**3\/13 + 22642*s**2\/13 + 17000*s\/13 - 39634\/13 = 0.\nAnswer: -7\/4, 1, 2831","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 122*z**3 - 3*z**2 + 2*z. Let i be h(2). Let m be i\/18 - (-2)\/9. Let j = 17 + 1. What is the highest common factor of m and j?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - 1)*(2*n + n - 8*n)*(20*n - 11*n + 11*n).\nAnswer: 100*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 162213 = -8793*x - 268644 for x.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = -3*w + 17. Let x = 0 - -8. Solve -w*g = -4*g - x for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*m + 5*m - 219. List the prime factors of m.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -45.364 - 7.636. Which is the third smallest value? (a) y (b) 1\/4 (c) -4\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -63\/44 and 41\/1043740?\nAnswer: 11481140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1547 - 3202 + 1655 + 5863*n**3 - 5830*n**3.\nAnswer: 33*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 578 minutes after 8:29 AM?\nAnswer: 6:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -202, -1215, -3978, -9367, -18258?\nAnswer: -31527","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7 - 11. Let y(b) = -4*b**3 + 4*b**2 - 4*b - 12. Let m(l) = -l**3 - l**2 - 1. Let h(v) = 3*m(v) - y(v). Let z be h(6). Put -1, z, u in decreasing order.\nAnswer: -1, z, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -99 - -101. Suppose -y*i - 37 = -5*b, 4*b + 4*i - 29 = 5*i. Calculate the remainder when b is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00018331 rounded to five decimal places?\nAnswer: -0.00018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*4*(-4 + (-1 + sqrt(80) + (4*sqrt(80)*5 + sqrt(80) - sqrt(80)))**2).\nAnswer: -4032*sqrt(5) + 846648","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34 = -5*b + 4*o, -4*b + 23 = -b - 5*o. Let r(u) = -b*u - 10 - 3*u + 5*u + 2*u. Let w be r(-5). What is the third smallest value in 1\/7, -2\/3, w?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3341497.\nAnswer: 83, 127, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (0\/(-1 - -5))\/3. Suppose 3*s + 2 = 4*i - 0, -4*i - 2 = -5*s. Suppose x = s*a - 65 - 9. 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 next in 120, 241, 362, 483?\nAnswer: 604","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1130*d - 522 = 1124*d. Calculate the remainder when d is divided by 36.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*d + 22*d + 8 = -366 for d.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -o**3 + o**2 + o + 22. Let i be 0\/2*(5 + -4). List the prime factors of r(i).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 69*u**2 - 1587\/2*u + 0 - 3\/2*u**3.\nAnswer: -3*u*(u - 23)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 5\/(15\/(-12))*-2. Suppose 4*a = -0 + q. List the prime factors of 10\/(a\/1) - 0.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/4)\/(30\/(-12))\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-6)\/21 - (-90)\/21. Suppose 2*x + x = a*o - 36, 2*x = -8. Solve -r = 2*q + 2, -3*r = -q - o - 2 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1 - -1)\/(2 - 4). Suppose 2*m = 3*t - 17, v = -5*m + 8*t - 3*t - 45. Let i = m + 18. Is 4 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = w**3 + 7*w**2 - 18*w + 1. Give d(-9).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -2*x**2 + 46*x + 54. List the prime factors of l(20).\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -25 - -173\/7. Let a = 381 + -381. What is the closest to h in a, -0.14, 1?\nAnswer: -0.14","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2318 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-17 + 17 - 3*w)*(5 + 5 - 8 + 31*w).\nAnswer: -93*w**2 - 6*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*w - 53*w - 158*w**2 + 16*w + 13*w.\nAnswer: -158*w**2 - 9*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5 + 47 - 18)*(x + x**2 - x) + (-1722 - 167*x + 1722)*(-x + 1 - 1) to d + v*x + t*x**2 and give t.\nAnswer: 201","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 393129623 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32*w + 34*w - 2 - 7*w.\nAnswer: 59*w - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 114476, 229056, 343636?\n\"Answer: 114580*u - 104","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -20, -1, -7431, -14, -4, -2 in ascending order.\nAnswer: -7431, -20, -14, -4, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 8 = -2*z - 4*k, 4*k = 5*z - 24. Suppose -z = h - 15. 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 lowest common multiple of 333 and 8?\nAnswer: 2664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11734225?\nAnswer: 5, 469369","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 57\/21800 and -59\/4885925?\nAnswer: 39087400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.5 + 0.2. Which is the nearest to 0? (a) 0.2 (b) 5 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9259587 divided by 3.\nAnswer: 3086529","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y - 6. Let w(g) = -1. Let l(h) = o(h) - 3*w(h). Let k = -11 + 19. Suppose -x = x + k. What is l(x)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*o**3\/5 + 1221*o**2\/5 - 14976*o\/5 + 45252\/5.\nAnswer: 3*(o - 6)**2*(o + 419)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-40)\/(-22) + -7*(-24)\/(-84)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1953390 to the power of 1\/4, to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1 + -3. Suppose 3*d + 3*p + 2209 = -d, 0 = -p - 3. Let i be 6\/15 - (-320)\/d. Sort 1\/3, i, l in increasing order.\nAnswer: l, i, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w - 262 = 4*g - 74, 3*g + 188 - 71 = 9*w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 2*p = 72. Let o = p + -3. What is the remainder when 61 is divided by o?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-10 + (-43558)\/20 - 2\/(-5))*1360. Round q to the nearest 100000.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 11 - 4. Let m = d - 9. What is the closest to 1\/2 in m, -0.4, 5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1760 and 3460?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) be the first derivative of 3*p**5\/5 - 4*p**4 + 19*p**3\/3 - 2. Find the third derivative of n(k) wrt k.\nAnswer: 72*k - 96","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -1352*w - 14. Let o(a) = 453*a + 4. Give -2*l(g) - 7*o(g).\nAnswer: -467*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 11, o: 1, z: 3}. What is prob of picking 1 v and 1 o?\nAnswer: 11\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:47 PM and 5:45 PM?\nAnswer: 298","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 93, 181, 269?\n\"Answer: 88*c + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-12))\/((-5)\/15)*-4?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 373 minutes after 7:16 PM?\nAnswer: 1:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 8988920\/9 or 998768?\nAnswer: 998768","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out -60303 - 497297198.\nAnswer: -497357501","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 283*o**2 - 362*o - 2513. Is 8 a factor of v(-7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10596, 10568, 10524, 10458, 10364?\nAnswer: 10236","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 6, h: 1, x: 2, w: 4, r: 4}. What is prob of picking 1 v and 1 x?\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = 6*l - 4*l - 17, 0 = -4*l + 4*y + 4. Suppose 0 = -3*v + l*r + 495, v - 3*v + 330 = -r. What is the greatest common factor of v and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -1 - r**3 - 10 - r**2 + 2*r + 5 + 2. Calculate w(-3).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) be the second derivative of 0 + 0*i**2 + 2\/45*i**6 + 0*i**5 - 20*i - 1\/9*i**4 + 0*i**3. Factor n(a).\nAnswer: 4*a**2*(a - 1)*(a + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -105717171 divided by -3147?\nAnswer: 33593","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1555 - 491 = 188*u - 816 for u.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that -z**5 + 7*z**4 - 15*z**3 + 5*z**2 + 16*z - 12 = 0.\nAnswer: -1, 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*m**5 + 2*m**5 - 3*m**5)*(6 - 2 + 1) - 3*m**5 + m**5 + m**5 + (3*m**3 + 3 - 3)*(2*m**2 - m**2 + 2*m**2).\nAnswer: 13*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (24\/(-108))\/(3\/9*-1).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u - 28 = 2*u - 0*u, u = 3*p - 19 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5.1 + -5. Let w = a - 0.09968. Round w to four decimal places.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -k**3 + 8*k**2 + 2*k. Let v be d(7). Let l = v - 43. Solve 4*w = -w - l for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -21\/1062920 and 33\/425168?\nAnswer: 2125840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gmxi when four letters picked without replacement from rmmxghi?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*h - 4*z + 38, 0 = -4*z + 18 - 10. What is the remainder when 122 is divided by h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2\/189 - 52\/189. Which is bigger: 7 or y?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1001011000 + -1010?\nAnswer: 1001001110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1468 + 1475. Calculate the highest common factor of r and 175.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 6*t**3\/5 - 731026*t**2\/5 + 1218356*t\/5 + 487344\/5 = 0. Calculate t.\nAnswer: -1\/3, 2, 121836","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 329440 a multiple of 530?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1\/(1\/3) + -1. Solve v*t = t - 3 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 760, -1, 1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*t = -30*t + 432. Is 3 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 7 + 0 + -3 - -1. Suppose g = h, 8 + 2 = -5*c - 3*g. Which is smaller: c or -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7*k - 9*k - 13*k**2 - 6*k**2 + (k + 1 - 1)*(-k + 0*k + 2*k) - k**2 + 4*k**2 - 2*k**2.\nAnswer: -17*k**2 - 2*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -519, -1053, -1593, -2145, -2715, -3309, -3933, -4593?\nAnswer: -5295","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xcwhxwnwwwwwgwgx. What is prob of picking 1 x and 1 w?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 8189858, 8189842, 8189826, 8189810, 8189794?\n\"Answer: -16*h + 8189874","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -10? (a) 17\/46 (b) -0.1 (c) -0.03\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 1 - 7 = 0. Suppose -4*l - h*w - 21 = 3, 4*l + 4*w = -32. Let t = -3 - l. Do t and 1 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (8*w - 3*w + 0*w)*(1 - 2 + 0 + (2 + 3 - 3)*(0 - 3 + 4) + 0 - 3 + 4 + 0 - 3 + 0) as i + n*w and give n.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1534509 divided by -4?\nAnswer: -1534509\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 4a5 (base 14) in base 7?\nAnswer: 2465","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -k**2 - 2*k + 5. Let q(m) = -m**3 - 9*m**2 - 9*m + 6. Let g be q(-8). Let u = 11 - g. What is the lowest common multiple of 6 and i(u)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 355 divided by 71?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 130 minutes after 1:37 PM?\nAnswer: 3:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j - 12 = 2*j. Let v = -1 - j. Let b(o) = 13401*o - 5. Let z be b(v). What is z rounded to the nearest ten thousand?\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.01799 times -3\nAnswer: 0.05397","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 13.05582 times -0.4\nAnswer: -5.222328","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2382 is divided by 2338.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 26\/55 and -20\/10025367.\nAnswer: 50126835","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = h - l, -2*l = -h - 0*l - 6. Let f(d) = -33*d**2 + 56*d + 18. Let i be f(2). Sort -4, 5, i, h.\nAnswer: -4, i, h, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-22)\/(p\/(p*p**13))*(p**(-1\/23))**19 assuming p is positive.\nAnswer: p**(-226\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 93525259 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 7\/(-8442)*-18*-2*(-12)\/(-24)\nAnswer: -1\/67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-4)\/(-8))\/(2\/(-4)). Let p = -2\/71 - 67\/142. What is the second biggest value in q, 3, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 29\/83 and 3\/2*(-4*(-35)\/(-270) + 5).\nAnswer: 1494","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -67 + 69. Let z be ((-48)\/l)\/(-4 - -3). Suppose -6*t + 186 = -z. What is the tens digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 51 + -36. Suppose -b + 48 = a. Suppose -4*j - j + 85 = 0. Calculate the remainder when a is divided by j.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4, 0.7, -7364?\nAnswer: -7364","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = f**3 - 5*f**2 - 10*f + 57. Let c be d(5). Solve 15 = -2*k + 3*s + c, 0 = 4*k - s - 4 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1117565447 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0135135514 to three decimal places.\nAnswer: -0.014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*l - 3*l + l)*(-3 - 1 + 2) - 682423 + 4*l + 682043 + l as g + s*l and give g.\nAnswer: -380","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5.3 - 4.3. Let m = 2.179 + -2.579. Which is the nearest to 0? (a) h (b) m (c) -0.1 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -45*a + 48*a + 15. Let v be 32 - 24 - (-46)\/a. What is the smallest value in 0.07, -1\/3, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the first derivative of m**6\/1620 - m**5\/180 + 2*m**3\/3 + 17. Let y(l) be the third derivative of r(l). Factor y(j).\nAnswer: 2*j*(j - 3)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 o and 1 h when four letters picked without replacement from hhhhhhhhhohhoohh?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pykpnkp. Give prob of picking 1 n and 1 p.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = -3*o + 300, 2*o + 400 = 6*o + 3*j. Let v = -97 + o. Suppose v*n - 6*n - 2*r = -483, n + 2*r = 161. What is the hundreds digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/(-2))\/(-4)*40\/(-100).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 67.14997 litres?\nAnswer: 67149.97","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -44461*r**2 - 50*r - 144.\nAnswer: -88922","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -3*l + 4*l. Suppose z = 3*j + 1, -5*j - 3*z + l = -0*j. Solve j*o = -o - 4 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3147791 divided by 12541\nAnswer: -251","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -9 - -9.12. Let f = -0.02 - -0.2. Let s = v + f. What is the closest to -0.3 in 1, -3\/5, s?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vvvvvvvvvv. Give prob of picking 4 v.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -t**3 + t**3 + t**3 + (-13 - 7 - 13*t**2 + 17)*(2*t + t - 4*t) in the form u*t**2 + f*t + h*t**3 + p and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1068 - -1075. Which is the biggest value? (a) 10\/19 (b) 5 (c) r (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3\/8 (b) -2 (c) -1\/13 (d) 2 (e) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 31? (a) 2 (b) -261 (c) 3 (d) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5 - 16232132?\nAnswer: -16232125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 3 m when four letters picked without replacement from wfmsw.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*b + 5 + 5 = 0. Let j(o) = -65*o**3 - 2*o**2 + 2*o - 2. Let c be j(b). Which is smaller: c or 1\/3?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 + -28 + 28 + 29?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = 0, -w + z - 2*z = 0. Suppose -2*b + 4*r + 24 = w, 4*b + 3*r = -2*r + 61. Solve -4*q - t + 22 = 2*t, 2*q - b = -3*t for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -8706 - -9062. Solve 32*v = -100 + m for v.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 22\/(-5) - 182962\/(-43130)?\nAnswer: -3\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 62624259?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p**(2\/119))\/p)\/(p\/(p\/(p\/p**(7\/4)*p*p))) assuming p is positive.\nAnswer: p**(-587\/476)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4437, 8776, 13121, 17478, 21853, 26252?\nAnswer: 30681","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r + 63 - 69 = 0 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-six fifths of a litre in millilitres?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.839662 nanometers in kilometers?\nAnswer: 0.000000000003839662","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*5*sqrt(396)*5)**2.\nAnswer: 8910000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the second derivative of b**4\/12 - 2*b**3\/3 - 5*b**2\/2 - 3*b + 16. What is p(6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*f**4*j**2 + 746*f**4 - 34249*j**2 wrt f?\nAnswer: -8*f**3*j**2 + 2984*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:59 PM and 2:38 AM?\nAnswer: 639","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 63422560 divided by 163040.\nAnswer: 389","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-48)\/(-1320) + (-29754)\/1485\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 138 is divided by 121?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4\/1 + 8\/(-2). Suppose o + 18 = 28. Suppose -4*h = -3*b - 26, -h + 5*b = -o - 5. Solve -5*f + 17 = -4*i - 2*f, i - h*f = c for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -38 + 294. What is the remainder when k is divided by 37?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 30*j - 87. Let b(q) = 7*q - 22. Determine -26*b(h) + 6*s(h).\nAnswer: -2*h + 50","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -k**2 - k - 7. Determine d(0).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2 - -4. Let l(m) = -m**2 + 3*m. Let i(p) = p**2 - 4*p - 1. Let j = 7 + -4. Give h*i(t) + j*l(t).\nAnswer: -t**2 + t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -k**3 + 5*k**2 - 21*k. Let h(d) = d**3 - 4*d**2 + 22*d. What is -5*h(f) - 4*l(f)?\nAnswer: -f**3 - 26*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 42 = 3*s - 2*b, -14 = -s - b. Calculate the remainder when 68 is divided by s.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6 + -5.9. Let n = 2.9 + t. Which is the biggest value? (a) 1 (b) -5 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((sqrt(3) - (sqrt(3) + 0)*6) + (1 + sqrt(48))**2 - (sqrt(6) - 3*-2*sqrt(6))\/(sqrt(18) - sqrt(18)*2)) + 4.\nAnswer: 16*sqrt(3)\/3 + 57","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (7 + -4)\/(2\/12). Solve -2 - f = -4*k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x**3 + 4*x**2 + 4. Let d be j(4). Suppose d*g = -0*g + 48. Solve v = -3*v + g for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -a30d2a (base 14) in base 7?\nAnswer: -64500353","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 82666585 to the nearest integer?\nAnswer: 9092","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*n + n**3 + 2 + 1 + 10*n + n in the form z*n**2 + l + x*n**3 + f*n and give l.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 571 + -536.9. Let x = b + -34. What is the nearest to -0.2 in x, 1, 2?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1237 or -1239?\nAnswer: -1237","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -8*j**2 + j - 1. Suppose -8*b = -3*b - 5. Let p(s) = s**2 - 3*s**2 + 3*s**2. Let g = -17 - -23. Determine b*u(n) + g*p(n).\nAnswer: -2*n**2 + n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2.23 - 0.17. Let n = -2 - l. Let b = -1116 - -1120. Sort -5, b, n in increasing order.\nAnswer: -5, n, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -g**2 + 3*g + 1. Suppose j + 0*j = 0. Let v be -7*(-1)\/(-2)*-2. Suppose j = 3*m - v*m + 12. Determine q(m).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*c + 139 = -231. What is the remainder when c is divided by 30?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -681 + 1415. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 15*p - 28. What is the remainder when m(8) is divided by 19?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -y**2 + 6*y + 32. What is i(-6)?\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sds when three letters picked without replacement from dsdsssddds?\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*d = 1867 - 1997 for d.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = g - d - 1, 5*g + 81*d - 32 = 177*d - 100*d for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.51 plus -5.985397?\nAnswer: -6.495397","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -263.599938 to one dp.\nAnswer: -263.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 1, -2, -1, -6 in descending order.\nAnswer: 1, -1, -2, -3, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (28\/6)\/((-10)\/(-15)). Suppose 5*g = -4*z + 30, 2*z - m*z + 29 = 2*g. Suppose z*f - f = -5040000. What is f rounded to the nearest 100000?\nAnswer: -1300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ppdpdebqzzdzbbpedbz. Give prob of sequence dp.\nAnswer: 8\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/c**(-2\/5))\/(c*c**(-2\/13))*((c*c\/(c*c**(9\/2)))\/c)**(4\/3))**(-3\/16) assuming c is positive.\nAnswer: c**(531\/520)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((a\/(a*a**(-3\/4)\/a*a*a*a))\/a*a*a*a)\/a)\/a*a**1)\/a**(6\/5))\/(a**(3\/7)*a**3*a*a)**33 assuming a is positive.\nAnswer: a**(-25283\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Let s be 0*3\/((-9)\/(-3)). Let w be (-18)\/(1\/(-1 - s)). Let y = 29 - w. What are the prime factors of y?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -869*o + 109719*o**2 + 16028*o**2 - 866*o + 1735*o.\nAnswer: 125747*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjnnnnnnnjnn. What is prob of picking 1 j and 1 n?\nAnswer: 9\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.6562 + -0.656213084. Round g to 7 dps.\nAnswer: -0.0000131","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.09 less than 863.638?\nAnswer: 863.548","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 + -9 + -4 + 7 - 8?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 16 = n + 9, 0 = -2*b + 4*n. Suppose -22*v = b*v + 192. Let c(l) = l**3 + 7*l**2 - 6*l + 9. Calculate c(v).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*q - 53*q = 298*q + 60*q + 51175 for q.\nAnswer: -115","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -404 - -466. Let y = -60 + v. Solve 4*r - x = r + 5, 5*x = y*r + 14 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -3*g**4 + 8*g**2 + 6*g - 6. Let o(f) = -f + 1. Let s(l) = -c(l) - 6*o(l). Find the third derivative of s(x) wrt x.\nAnswer: 72*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -3 - (-87)\/54*2. Factor 2\/9*b**4 - 2\/9*b**2 - 2\/9*b + o*b**3 + 0.\nAnswer: 2*b*(b - 1)*(b + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 527233 a multiple of 763?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3*(-4)\/(-36)*-3. Let j be 4\/14*(0 - y). Sort 3, 0.4, 0, j.\nAnswer: 0, j, 0.4, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1*(-7)\/(35\/(-20))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -j**3 - 145*j**2 - 1598*j - 145828. Calculate u(-141).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1267 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6259465*y**5 - 746426*y**2 + y?\nAnswer: 375567900*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -64*o - 5*p + 20 = -67*o, -5*p + 20 = -4*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 19.127 - 19.127. Which is the second smallest value? (a) 5 (b) 32 (c) 2\/19 (d) 29 (e) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2414 not equal to 750750\/311?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -11275161, -22550325, -33825489, -45100653, -56375817?\nAnswer: -67650981","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -6*r + 20. Let m(a) = 3*a - 10. Calculate -7*m(q) - 3*p(q).\nAnswer: -3*q + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 276 (b) -6\/13 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 68*0.16\nAnswer: 10.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -34*f**3 - f. List the prime factors of o(-1).\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, -4, 10, -129068 in decreasing order.\nAnswer: 10, -4, -8, -129068","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 28*p**2 + 2760*p**3 - 54*p**2 + 29*p**2 + 9 - 1 - 6 in the form l + d*p**3 + z*p + w*p**2 and give w.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x + 5*x + 5*u = -12, 3*x + u = -9 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -86037*f**4 + 2*f**3 - f - 1961940.\nAnswer: -344148*f**3 + 6*f**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -7640 to the nearest 1000.\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2*(0 - -2 - 3). Let y be ((w - -1)*-5)\/(-1). Let n = 0 - y. What is the units digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z and 1 m when three letters picked without replacement from zfhfzmmfmzmhfzf.\nAnswer: 24\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 149 is divided by 41.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -135*p**2 + 2263*p + 6794. Calculate q(-3).\nAnswer: -1210","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 43 + 221. Suppose -4*v - l + 272 = 0. Which is the fourth biggest value? (a) 1.8 (b) -0.3 (c) 3 (d) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.3 - -0.1. Let y = 2526 + -2522. What is the closest to 0 in -2\/3, y, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*c + 5*b + 43396 + 2177, 5 = -b. What is the thousands digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 3*a + 22. List the prime factors of v(8).\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1572)\/(-70)*500\/(-75) + 11. Which is bigger: -1 or j?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2248 to the power of 1\/6, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 124422 to the nearest integer?\nAnswer: 353","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f, 1 c, and 1 q when three letters picked without replacement from xcqfyym?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.841281mg in micrograms?\nAnswer: 3841.281","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*j + 264 = 4*j + 5*m, -5*m = 5*j + 695. Let p = j + 143. Solve 2*a - 2*t = -p, 0 = -2*a - 4*t - t + 8 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xaaaiaaaaxsxaxax. Give prob of picking 1 x and 1 i.\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 101 - -48. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tccnhivvh. What is prob of picking 1 h, 1 v, and 1 n?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(2299) + sqrt(2299) + sqrt(2299)*2)*5)**2 + ((4 + (sqrt(2299) + 2 - sqrt(2299)))*-3)**2.\nAnswer: 8276724","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 0, -5, 5 in decreasing order.\nAnswer: 7, 5, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 416*n**5 - 137187*n**3 - 117259287*n?\nAnswer: 8320*n**3 - 823122*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fbff when four letters picked without replacement from fffbbfbfbbbffbff?\nAnswer: 21\/260","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 0, 5, -6, 198, -4, 1.\nAnswer: -6, -4, -1, 0, 1, 5, 198","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 291 a factor of 774986835?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 169491 and 588.\nAnswer: 677964","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = y. Let m(n) be the first derivative of 2*n**2 + 5. Give v(m(l)).\nAnswer: 4*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -31, 0, -0.5, 4 in increasing order.\nAnswer: -31, -0.5, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 m when two letters picked without replacement from sqmusqul?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -12*u - 43. What is g(6)?\nAnswer: -115","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x - 47 = -4*a - 15*a + 16*a - 13, 4*x + 4*a - 52 = 0 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 90 (b) 5 (c) 0.0274 (d) 47\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -667 = -7*r + 460. Calculate the remainder when r is divided by 27.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:34 PM and 11:15 PM?\nAnswer: 341","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) be the second derivative of c**4\/3 + 2*c**3 + 4*c**2 + 33*c. Factor d(h).\nAnswer: 4*(h + 1)*(h + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 614 a factor of 209961818?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -16852445\/12 at most -1404369?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (48\/10)\/(-4) + 2 + (-5864)\/2080 and 55\/24?\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7160 - 7150. Solve -m - m = -5*f - s, -m = f + 2 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0\/(5*(-3)\/(-15)). Suppose r - 3*i = 27, z*r - 2*i - 118 = -4*r. What is the greatest common factor of r and 45?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000314 rounded to three decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-33891)\/858*-1*(-2)\/(-1)*(-22)\/22.\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 0*o = o - 1, 4 = -2*g - 4*o. Let i(c) = 2*c**2 - 23*c - 164. Let f be i(-5). Sort 5, f, g in increasing order.\nAnswer: f, g, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 372768 and 132000.\nAnswer: 1056","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -50 - 22546.86.\nAnswer: -22596.86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37*m + 26 = -8 - 114 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -1 - (5 + 4 + -8)\/((-4)\/5). Which is the nearest to 3? (a) -7 (b) u (c) -17 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = -2*i + 4*h + 3, 0 = i + 4*h + 1. Suppose 0 = -3*y - y - 48. Let v be -3*(y\/(-45))\/4. Which is smaller: i or v?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 813 is divided by (-6)\/(-10)*(-13545)\/(-129).\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -205603*g + 205603*g - 3*g**2.\nAnswer: -3*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2921 in -0.1, -0.5, 1\/3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 2*l**2. Let v(c) = 134*c**2 - 5*c - 1. Calculate v(f(q)).\nAnswer: 536*q**4 - 10*q**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 23488416?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-23 + 2 - 4) + 3?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6559 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5 + 7. Let o = 5 - 3. Let h(z) = o*z - 7 + 0*z + z**x + 1 + 4*z. Give h(-5).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22066427.\nAnswer: 1399, 15773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 55 - ((-64 - -17) + 119).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9407, 35318, 78517, 139004?\nAnswer: 216779","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 2 + (-103 - 34 - -83)\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 958 is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) be the first derivative of x**3\/3 + x**2 + x - 4. Let f be d(5). Let y = f + -16. Round y to the nearest 10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -2*o**2 + 180*o + 1190. Let g be n(87). Calculate the highest common factor of g and 107.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*u + 1 - 1)*(-3*u**2 + 14*u**2 - 8*u**2 + 3*u**2 + 0*u**2 - 2*u**2 + (-2*u + 2*u + 2*u)*(-2 + 2 - 2*u) - 5*u**2 + 3*u**2 + 3*u**2).\nAnswer: -2*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in 0, -9, 1\/5, 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -163 - 6*r**2 + 53 + 57 - 16*r + 56 - 8*r**3 wrt r.\nAnswer: -48*r - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 89\/112 and -109\/7294.\nAnswer: 58352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, l: 2, f: 1, b: 4, n: 2}. Give prob of picking 2 l.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (68\/(-9))\/((-1638)\/(-7371))?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) be the second derivative of c**6\/90 + c**5\/24 - 7*c**4\/36 - 2*c**3\/9 - 9*c - 2. Factor p(n).\nAnswer: n*(n - 2)*(n + 4)*(2*n + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2158586 to the nearest integer?\nAnswer: 1469","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 2*s**3 + 6*s**2 + 952. Let h(w) = -4*w**3 - 11*w**2 - 1899. What is -6*h(v) - 11*y(v)?\nAnswer: 2*v**3 + 922","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1\/7*(3 - 2). Let b = -765 + 701. Let c = 53 + b. What is the smallest value in c, 3, i?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(3 + sqrt(175)))**2.\nAnswer: 1080*sqrt(7) + 6624","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 149 is divided by 39.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 2, c: 1, n: 2, t: 2, p: 1, s: 1}. Give prob of picking 1 n, 1 t, and 1 p.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3849 - 2002. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 52057, 208332, 468789, 833428?\n\"Answer: 52091*a**2 + 2*a - 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1070 a multiple of 43?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 3*a = 2*a - 10, -4*a = 4*h - 40. Let o be (-15)\/(-21) + h\/35. Which is bigger: o or -1\/17?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - 0) + (6 - (-7 - -7)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -199690*k**5 + 2*k**3 + 64*k**2 + 4467*k - 560 wrt k?\nAnswer: -3993800*k**3 + 12*k + 128","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0 (b) -5 (c) 19\/637 (d) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z\/z**6)*(z\/z**(-4\/3))\/z)**(-1)\/((((z\/(z**(-4\/7)\/z))\/z*z)\/z)\/(z**(-8)*z))**(3\/5) assuming z is positive.\nAnswer: z**(-262\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6969 - 4029. What are the prime factors of q?\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 18, 132, 428, 1002, 1950, 3368?\nAnswer: 5352","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -290393, -290445, -290497, -290549, -290601, -290653?\n\"Answer: -52*a - 290341","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -39, -68, -97, -126?\nAnswer: -155","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 52 - -2. What is the remainder when 3582\/(-36)*(-2)\/1*1 is divided by f?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 67 - 5*f + f**3 - 50 - 386 - 67.\nAnswer: f**3 - 5*f - 436","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 16*f**5 - 787*f**4 + 787*f**4 + (0*f + f + 2*f)*(-4*f**4 + 3*f**4 + 2*f**4).\nAnswer: 19*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.153039917 rounded to 3 decimal places?\nAnswer: 0.153","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*v - 1581*z + 1578*z - 5, 3*z = 2*v + 7 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of b**5 - 7772*b**3 + 21*b**2 - 540505*b - 2?\nAnswer: 20*b**3 - 46632*b + 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 52*o + 8. Let i be q(1). Suppose 0*b = b - i. Suppose -b - 363 = -3*z. What is the hundreds digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n + m - 20 = 0, -2*m + 10 = 3*n - 5*n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 49 minutes after 11:40 AM?\nAnswer: 12:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 11, -1, 0, 4 in ascending order.\nAnswer: -4, -1, 0, 4, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 6\/54 - 1\/9. Let i(l) be the second derivative of 0*l**3 - 3*l - l**2 + 0*l**4 - 3\/20*l**5 + m. Differentiate i(g) with respect to g.\nAnswer: -9*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the second derivative of f**7\/14 - 54*f**6\/5 + 477*f**5\/10 - 79*f**4 + 105*f**3\/2 - 2570*f + 1. Factor n(v).\nAnswer: 3*v*(v - 105)*(v - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 25 = -0*i, 2*j = -2*i + 290. Suppose -h + j = 137. Solve 0 = -d + g - h, -g + 11 = -0*d + 3*d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/23, 1\/5, 2\/15, 2898, 0 in increasing order.\nAnswer: 0, 2\/23, 2\/15, 1\/5, 2898","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 265148127?\nAnswer: 3, 9820301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 73 - -7?\nAnswer: 7a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 161 is divided by 15?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.1 + 0.4. Let x = -1.5 + 0.5. Let j = x + 1. Which is the closest to j? (a) m (b) 0.1 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6*c**2*r**3 + 186*c**2*r - 14*c*r**3 + 7*c*r**2 wrt r.\nAnswer: -36*c**2 - 84*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -39940 + 15.1816.\nAnswer: -39924.8184","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -3 + 0 - 1 + t**2 - 3*t - 1. Let p = -9 - -24. Let d be (-3 + 55\/15)\/(2\/p). What is a(d)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2093127 centimeters in nanometers?\nAnswer: 2093127","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express x**3 - x**3 + 2*x**4 + (3*x**2 + 0*x**2 - x**2)*(-1 + 1 - x**2) + 0*x**4 - x**4 + 2*x**4 as n*x**2 + t*x**3 + j*x**4 + u + f*x and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -97, -3, 49, 4, 1, 7 in ascending order.\nAnswer: -97, -3, 1, 4, 7, 49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(240) - (sqrt(240) + 2*sqrt(240))*6)*2)\/(sqrt(132)\/((1*sqrt(110))\/sqrt(10))))**2.\nAnswer: 23120","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-474)\/(-6))\/(-4*2\/(-8)) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 21 - 18. Suppose 3*d = -c - 0. What is the second biggest value in 0.4, d, -0.12?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tvht when four letters picked without replacement from {v: 1, h: 4, t: 5}?\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:01 AM and 9:43 AM?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4 - (-20)\/5)\/3. Suppose r = 16*t - 7018 - 4950. What is the tens digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -195*i = -227*i - 10240. What is the second biggest value in 1, 0.4, -7, i?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1\/(-5) - -2*6870\/1200. Find y such that 5\/4*y**2 + c*y**4 + 5\/2 + 45\/4*y - 105\/4*y**3 = 0.\nAnswer: -1\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -12*c**2 + c + 4. Let u(w) be the first derivative of -w**3 + w + 3305. What is -2*b(z) + 9*u(z)?\nAnswer: -3*z**2 - 2*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -25, 218, 837, 2006, 3899, 6690, 10553?\n\"Answer: 29*s**3 + 14*s**2 - 2*s - 66","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 16 = 3*h - 41, -4*h = -s - 76. Suppose -h = -4*l + 25. What are the prime factors of l?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -22480\/523943 + -12\/5887. What is the nearest to 0 in 3, 0.6, l, -1\/2?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.05 - -3.05. Let t = -0.109 + -3.891. What is the nearest to 1 in v, t, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -u + 3. Let g be x(2). What is the remainder when -1*(1 + g + -29) is divided by -1 + -2 + 9 + 4?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 0 (b) 0.1 (c) -1 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 2*b = 27. Suppose 0 = -4*l - 1 + b. Suppose 448 = 6*f + l*f. What are the prime factors of f?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-600)\/434 - 76032\/(-59136)?\nAnswer: -3\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7.49 - -0.01. Let u = 7 - k. Which is the third biggest value? (a) 3 (b) -1 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1\/4 or 8\/7?\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 766 and 8.\nAnswer: 3064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 13*a**2 - 308*a - 4511. Determine v(34).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -511 + 71*k - 140*k + 66*k + (k + 2*k + 9*k)*(-1 + 0 + 0) as d*k + a and give a.\nAnswer: -511","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 2, x: 3, s: 1, y: 7, n: 1}. What is prob of sequence wwsx?\nAnswer: 1\/4004","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2340 and 5160?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) be the third derivative of 5*g**6\/12 + g**5\/60 - 5*g**4\/12 + 30*g**2. Does 19 divide p(3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 12 + -12. Let c = 101 - 99. Let t = c + a. What is the second smallest value in 4, t, -3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the first derivative of 5*d**2 - 6. Let v(r) = -2*r**2. Give v(a(m)).\nAnswer: -200*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cpps. Give prob of sequence sc.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.16 and 25842684.\nAnswer: 25842683.84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -5590.233447 rounded to the nearest 1000?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*n + 30260 = 153860. What is the hundreds digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/5, -476669, -1\/5, 4.\nAnswer: -476669, -1\/5, 3\/5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*n**2 - 29807 + 29807 - n.\nAnswer: -17*n**2 - n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mommmpmmppmmmom. Give prob of picking 1 m and 1 o.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(2 + sqrt(475))*-2*-3*6)**2.\nAnswer: 414720*sqrt(19) + 9932544","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*v - 31 + 1. Let s(x) = x**3 + 25*x**2 + 26*x + 63. Let j be s(-24). Let b be 10\/(-36)*v\/j. Is b equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*v = -1 - 31. Solve 2*c - 2 + 12 = v*s, -5*s + 5 = 0 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 4195*i. Let v(d) = -d. Give h(v(f)).\nAnswer: -4195*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 103 divided by -1842438\nAnswer: -103\/1842438","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + -5 + (1 + 0 - -5) - 4?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/(-9)*19*(-7)\/(-266).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o - 181*k - 7 = -186*k, 0 = -2*k - 2 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 1, w: 4, o: 9}. What is prob of sequence ooo?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.09 - -0.01. Which is the biggest value? (a) 4 (b) -2\/21 (c) -3 (d) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*r - 904*r = -201*r + 91500 for r.\nAnswer: -125","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4 (b) 2\/9 (c) 165\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 5.3508457 times -0.2\nAnswer: -1.07016914","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 14*g**2 - 883*g + 59. Let i be n(63). Let d(w) = 17*w - 5. Let o(m) = -16*m + 4. Give i*o(z) - 3*d(z).\nAnswer: 13*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 728 = -k + 721 for k.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 2*z + 3. Suppose 2*a = -5*y + 40, 2*y = 2*a + a - 3. Let x be h(y). Let v = 36 - x. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12430 (base 5) to base 15\nAnswer: 460","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -13*a**2. Let q(v) = v**3 - 8*v**2 + 11*v - 26. Let j be q(7). Let f(n) = -2*n**2 - 29*n + 3*n**j + 29*n. Determine z(f(r)).\nAnswer: -13*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -436514\/23 + 18976. Let j = i + 772\/253. Which is smaller: -1 or j?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 0.07, -10, 2\/9, 2?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -422972 divided by 38452.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -7883*u**2 + 4434.\nAnswer: -15766*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b**2\/5 + 10370*b - 11978532\/5 = 0.\nAnswer: -26154, 229","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 2*t + 8 = -2*q, -2*q = -t + 12. Let s = 13 + -9. Let i = s - 7. Is q at least as big as i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-2\/5)*g*g**(1\/9)*g**(-6)\/g**(-2\/5))\/((((g*g**(-1\/4)*g)\/g)\/g)**(-12)\/(g**(-2\/3))**(-3\/19)) assuming g is positive.\nAnswer: g**(-1331\/171)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 168*y + 499. Let k be j(-3). Let x(s) = s + 7. Let p be x(-8). Which is the smallest value? (a) 1 (b) k (c) 1\/4 (d) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in 1\/2, -12, -8?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -840 or -15970\/19?\nAnswer: -15970\/19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -926114, -1852245, -2778374, -3704501, -4630626, -5556749, -6482870?\nAnswer: -7408989","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:40 AM and 9:56 AM?\nAnswer: 376","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6*d**3*w**5 - 2*d**3*w - 10458*d*w**5 - d*w - 20*d + 7*w wrt w?\nAnswer: 120*d**3*w**3 - 209160*d*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -9017 - -9700. Sort -4, 1, 3, v, 2 in decreasing order.\nAnswer: v, 3, 2, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 7363*j + 353419. Determine z(-48).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 102, 205, 306, 405, 502?\n\"Answer: -u**2 + 106*u - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 4, b: 5, w: 5, a: 1, d: 1}. Give prob of sequence awbg.\nAnswer: 5\/2184","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 6*a - 99. Suppose -3*g - 13*g = -35*g + 304. Determine t(g).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkrkkkkkkkkkrkkkkr. What is prob of sequence kkk?\nAnswer: 455\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5.9 - 6. Let b = z - 4.9. Let y = -13 + 13.4. Sort -3, b, y in decreasing order.\nAnswer: y, -3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 14*h. Let l(t) = t. Suppose 11 - 10 = -r. Let b be (1 - 6 - -4)*r. Give b*n(k) - 12*l(k).\nAnswer: 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mr when two letters picked without replacement from {f: 3, r: 4, q: 3, y: 5, m: 3}.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -38 - -113. Suppose y = -4*d - 10, 3*y = -0*y - 2*d. Suppose -y*r - o = -7*r. What is the units digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (-1 - -2452) + (-3)\/3*-7?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 101 minutes after 8:01 PM?\nAnswer: 9:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 - 3 + 2*m + 2 + (-254 - 275 + 97)*(-5*m + 2*m + 5*m).\nAnswer: -862*m - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*d - 21*d = 117*d - 131 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 31521 - 5?\nAnswer: 31514","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2 + -1 - 8) + -2. Let n = u - -1. Find the common denominator of -46\/5 and n\/12*118\/4.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 13*i. What is j(3)?\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -12097, -48494, -109187, -194182, -303485?\n\"Answer: -r**3 - 12142*r**2 + 36*r + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Add -11060973 and -0.1512.\nAnswer: -11060973.1512","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-28217 + 86*t + 28217)*(3 - 1 + 0) to the form n*t + l and give n.\nAnswer: 172","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/4 in 2, 428, 0.4, -1?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is (-4)\/(-12) - (-618558)\/9 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 77564173 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 t when two letters picked without replacement from ettt.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 916519423 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 4605760 divided by -12448?\nAnswer: -370","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 162*g**2*l + 13*g*l + 4*l wrt g.\nAnswer: 324*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 5, f: 9}. What is prob of picking 1 z and 1 f?\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -251.7 - -252. What is the closest to -1 in -0.4, 0, 34, r?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 54\/(-45)*2\/(36\/(-10))?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -205649, -411282, -616885, -822452, -1027977?\nAnswer: -1233454","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-30)\/(-315))\/((-8)\/(-60))*7. Solve 0 = d - c - 1, -3*d + q*c = -11 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r + u = -19 - 6 + 28 - 22, 6*r - 6*u + u - 23 = 0 for r.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 169829 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 8 = -2*m + 30, 0 = 4*j - m - 11. Let l**2 - 14*l**j + 13*l**4 - 2*l - l**3 + 3*l = 0. Calculate l.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5472, 2, -0.5 in descending order.\nAnswer: 5472, 2, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -2*l. Let q(k) be the second derivative of 0 + 3\/4*k**4 + 13*k + 0*k**3 + 0*k**2. Calculate b(q(g)).\nAnswer: -18*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/7 (b) 1046 (c) -1.8 (d) -5 (e) 4\/7 (f) -2 (g) -1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -335, -611, -859, -1067, -1223, -1315?\n\"Answer: 2*j**3 + 2*j**2 - 296*j - 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 70?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(2299) + (-1*(-1 + sqrt(2299)) - sqrt(2299))) + -1)*6.\nAnswer: -330*sqrt(19) + 24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) be the third derivative of -h**4\/4 + 13*h**3\/3 - 9*h**2 - 3*h. Let u(q) = -2*q + 9. What is -5*i(b) + 14*u(b)?\nAnswer: 2*b - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 32 + -22. Let l = -6 + f. Suppose -2*w = -w. Solve l*a + 1 + 11 = w for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z**3 - 294*z**2 + 1716*z + 3673. What is x(288)?\nAnswer: 217","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -n**2 + 5*n + 2. Let t be m(5). Let d(l) = 5*l**t + 3*l**2 - 5*l**2 - 2*l**2. Let z(q) = 13*q. Determine z(d(y)).\nAnswer: 13*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) be the second derivative of -q**4\/3 + 4202*q**3\/3 - 4200*q**2 - 86*q - 16. Determine o, given that p(o) = 0.\nAnswer: 1, 2100","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -18*f**5 + 12*f**4 - 3*f**3 - 24*f**2 - 56 wrt f?\nAnswer: -1080*f**2 + 288*f - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -82 - (-127 - (151 - 215)).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*v - 5*v**2 - 20*v**4 - 8*v**2 + 19*v**4 + 7*v**2 + 2*v**3 to n*v**2 + f*v + y*v**3 + g*v**4 + h and give n.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -168, -167, -166, -165?\n\"Answer: c - 169","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 291587 is divided by 291424?\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 2\/53821?\nAnswer: 2\/53821","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 425410353 - 1?\nAnswer: 425410352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -2*j**2 + 0*j**2 + j**2 + 6*j - 5. Let y(g) = g**3 - 25*g**2 - 36*g + 266. Let a be y(26). Let u(k) = -2*k**2 + 5*k - 4. Give a*u(b) - 5*o(b).\nAnswer: -7*b**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13 - 5 - (-4331)\/(-488)?\nAnswer: -7\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 66412\/139 or 478?\nAnswer: 478","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 742763 - -5?\nAnswer: 742768","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 113173567 a multiple of 1309?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 62 + 10. What is the highest common factor of 96 and j?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j + 5*n = 20, -20 = 6*j - 3*j - 5*n for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 827147 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**3\/7 + 144*w**2\/7.\nAnswer: w**2*(w + 144)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 8, 1\/10, -5 in ascending order.\nAnswer: -5, 1\/10, 5, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -q - 14. Let f be w(-8). Let l be (f\/(-15))\/((-1)\/(-20)). What is the highest common factor of l and 56?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -101\/12096 and -37\/1344168.\nAnswer: 10753344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1434 bigger than 13920?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*y - v - 1410, -52*v + 50*v - 12 = 0. Does 27 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = k**3 - 2*k**2 - 13*k + 7. Let d be s(5). List the prime factors of 62 - -1 - (d - 18).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the second derivative of -q**6\/10 - 9*q**5\/20 - 3*q**4\/4 - q**3\/2 - 25*q - 1. Factor y(j).\nAnswer: -3*j*(j + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4*(-1)\/(-21))\/(144\/76680*71)?\nAnswer: 10\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1, -13, -25, -37, -49, -61?\nAnswer: -73","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -13.7 + 1.7. Let p = l - -9. Which is the second biggest value? (a) 2\/27 (b) 4 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -200e (base 15) to base 2\nAnswer: -1101001101100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 8\/2 - 2 - -10. Let x be (-18)\/y + 1\/(-2). What is the units digit of (90\/(-3))\/(0 + x)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 581 divide 1645973?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -2*t**3 - 3*t**2 - 4*t - 4. Let s be m(-2). Solve 2*x = 3*h - 8, -5*x + 5*h = -3*x + s for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = p + 6. Let l be -3 + 3 + 12\/(-2). Let g be r(l). Sort g, -3, 2 in increasing order.\nAnswer: -3, g, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*z = 752 - 242. Determine f so that -2*f - 2*f - 2*f + 16 + 26 - z + f**2 = 0.\nAnswer: 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3.1 + 2.8. What is the closest to -2 in -4, b, -1.2?\nAnswer: -1.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/60)\/(15\/25)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 10 = 4*r. Suppose -r*v + 3*v = -650000. Round v to the nearest 100000.\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*i = -5*k + 8*i, -8 = -13*k + i for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 9*c + 372. Let n(f) = -f - 26. Determine m(n(h)).\nAnswer: -9*h + 138","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = d + 40, 2*g - g + 4*d = 2. Suppose -19*p + 394070 = -g*p. Suppose -p = -3*f - 1804070. What is f rounded to the nearest 100000?\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3229 is divided by 322?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 0.2 (b) 3\/8 (c) -2\/47 (d) 99\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 448456 and 616627?\nAnswer: 4933016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 21927504 and 127260?\nAnswer: 2302387920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-3)\/h)\/h)**(-1\/10)\/(h**(-2\/15))**13 assuming h is positive.\nAnswer: h**(67\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -g*o**2*v - 12*g*o*v**2 + 14*o**2*v**2 + 46*o*v + v**4 wrt v.\nAnswer: -24*g*o + 28*o**2 + 12*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 204564 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 107\/182 and 79\/98.\nAnswer: 1274","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 84\/5 - 34\/5*z + 2\/5*z**2 = 0. What is z?\nAnswer: 3, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.007 + -0.993. Which is the third smallest value? (a) h (b) 5\/4 (c) 1\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -96929*f + 387750. Give t(4).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 1, 149, -2.\nAnswer: -2, 1, 3, 149","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.71839 less than -0.036242?\nAnswer: -4.754632","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 k when two letters picked without replacement from eekhcmnmmmen.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -13*s**2 + 29*s - 4. Let m(a) = -6*a**2 + 14*a - 2. Let w(i) = 3*k(i) - 7*m(i). What is the tens digit of w(-10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 2*a**2. Let m(r) = 40*r - 2. Let y(k) = 1962*k - 99. Let d(n) = -99*m(n) + 2*y(n). Calculate u(d(q)).\nAnswer: 2592*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 61, -0.5, 2028, 25, 1, 2\/11 in descending order.\nAnswer: 2028, 61, 25, 1, 2\/11, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -6 + -77?\nAnswer: -105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4 + 4. Let y be (-1 - k)\/((-2)\/4). Let j = 0 + y. Put 0, -1, j in increasing order.\nAnswer: -1, 0, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 10 + -10. Let p = x + 3. Let w be ((-2)\/6)\/((-1)\/p). What is the highest common divisor of w and 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*b - 651 = -3*p, -b - 86 = -p + 125. Calculate the remainder when p is divided by 36.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (38*n + 1 + 63*n - 26*n)*(-n**3 + 0*n**3 + 2*n**3).\nAnswer: 75*n**4 + n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 11*o - 29800000. Suppose 2 + 2 = -4*h - n, 0 = 2*h - 5*n - 20. Let c be v(h). What is c rounded to the nearest 1000000?\nAnswer: -30000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3113364.89+-70341\nAnswer: 3043023.89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/5)\/3*8\/32*-4?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -28 - -24. Let l(k) = -4*k**3 - 7*k**2 + 2*k - 9. Let d(r) = 2*r**3 + 3*r**2 - r + 4. Determine t*l(c) - 9*d(c).\nAnswer: -2*c**3 + c**2 + c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5*98.\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 2548, -1475\/2.\nAnswer: -1475\/2, -7, 2548","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*c + 619 = 661 for c.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 11 - 11. Let c = -73 - -75. Solve b = 3*s + c + 7 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**4 + 135*a - 15*a**2 - 228*a - 5*a**3 + 4*a**4 + 118*a - 10.\nAnswer: 5*(a - 1)**3*(a + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -0.13, -2\/11, 2\/5, -1\/4, 0.245, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = g**3 + 66*g**2 - 868*g + 65. Is c(-44) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 7145, 7142, 7139, 7136, 7133, 7130?\n\"Answer: -3*z + 7148","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 51 minutes before 9:57 AM?\nAnswer: 9:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 8 + -4. Let c = -2 - -2. Let x = r + c. Calculate the remainder when 6 is divided by x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 9 - 14 - m + 0*m in the form r + x*m and give r.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0727507839 rounded to 4 decimal places?\nAnswer: 0.0728","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*c + 53 + 145. Is c bigger than -4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 0 - 56*h**2 + 27*h**2)*(-1 + 7 - 4)*(h - 4*h + h) + 8*h**2 + 312*h**3 - 7*h**2 - 289*h**3.\nAnswer: 139*h**3 + h**2 + 8*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 - (-12 - -22) - -7?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -27 - -8. Let b = -15 - k. Suppose 0 = -0*i - b*i + 16. Solve 4*x = i + 4 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 42350 is divided by 38014.\nAnswer: 4336","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 218.6t?\nAnswer: 218600000000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of -44882.2 and -0.2.\nAnswer: 8976.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 163457.\nAnswer: 7, 19, 1229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 544346145?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 12707 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 21.91 + -22. Let p = -0.21 + o. Which is the third smallest value? (a) -2\/15 (b) -4 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1971060 a multiple of 273?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -179\/30 and 77\/30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28749 is divided by 181?\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 smaller than -44\/115053?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 960\/7 or 138?\nAnswer: 138","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is (4 - 244\/(-12))\/((-59)\/(-1154217)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 10 = 3*g, 5*g + 5*f - 34 = 3*f. List the prime factors of 219\/g*(8 - 6).\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 3*q - 2 = 0. Suppose -x = q*x - 9. Suppose -x*f + 1 = 2*p, -2*f + f = -3*p - 15. Calculate the highest common factor of f and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(66)\/(sqrt(150) + sqrt(150)*-1 + sqrt(150)))**2 - ((sqrt(176) - (0 + sqrt(176)))**2 + 0 + 4).\nAnswer: -4*sqrt(11)\/5 + 11\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -45133335 (base 6) to base 12\nAnswer: -55a24b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 5*t**2 - 2*t. Let s be 2\/4 + (-25)\/10 - -3. Let r be i(s). Suppose u - 4*j = 3*u - 132, r*j = -2*u + 127. What is the units digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -37b263 (base 14) to base 5\nAnswer: -442204142","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-6)\/((d*d**11)\/d))\/(d**3)**(-2\/41) assuming d is positive.\nAnswer: d**(-691\/41)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 5178, 5176, 5176, 5178, 5182, 5188, 5196?\n\"Answer: a**2 - 5*a + 5182","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4 + 6. Suppose -l*k + 0*k = -96. Suppose -k = -v + 3*s, s = 3*v + 2*v - 212. Calculate the highest common factor of 14 and v.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -104334 (base 5) to base 2\nAnswer: -111010000111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = 5*f + 6 - 3, -3*s - f + 3 = 0. Let g be 14 + s + -2 - -1. Let j be (-4)\/g - (-23)\/7. Sort -4, 2, j.\nAnswer: -4, 2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -5*b + 1. Let c(l) = -28*l + 9. Let w(f) = 2*c(f) - 11*h(f). Determine w(-11).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 22 and 756.\nAnswer: 8316","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l = -5*i - 6, -2*l + l - 4*i = 6 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4615\/(-663) - (-2)\/(-6). Let w = p - -916\/51. Let k = 1307\/228 - 25\/19. What is the common denominator of w and k?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(228))\/sqrt(12) + -1.\nAnswer: -1 + 2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - 0 - 7) + -4123 + 4123\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 3, k: 2, l: 3}. Give prob of sequence kl.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 28 - (-5 + -8 + 62)\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 214 + -196 - (11 - (8 - 4)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 11\/7 + (-15)\/(-35). What is the first derivative of s - 4 - 11 + 2*x**3 + 13*x**3 wrt x?\nAnswer: 45*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand s - s**5 - s + (-3*s**3 + 3*s**3 + 2*s**4)*(1 + 2*s - 1) + s**5 + 2 - 2 + 12*s**2 - 12*s**2 + s**5.\nAnswer: 5*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i**2 + 2*i + 1. Let j(g) = -1909*g**3 + 1951*g**2 + 6*g + 3. Let q(t) = -j(t) + 3*n(t). Find the third derivative of q(x) wrt x.\nAnswer: 11454","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = z**2 - 7*z - 9. Let j be w(9). Let g(b) = -b**2 + 11*b - 16. Calculate the least common multiple of 4 and g(j).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -36\/49 and (-8)\/(-6)*(-1485)\/(-1440).\nAnswer: 392","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -19514, -78112, -175780, -312518, -488326, -703204?\n\"Answer: -19535*p**2 + 7*p + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 2*s**2 - s + 3. Let c(t) = -14*t + 42. Let i(n) = -3*c(n) + 42*w(n). Let z(h) = -4*h. What is z(i(m))?\nAnswer: -336*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = h - 4*h. Let q be (4\/(-6))\/(h\/18). Suppose -3*s = q - 0. Let c(t) = -t**2 - 5*t + 1. Determine c(s).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = j**2 + 25*j + 4. Let p be m(-25). Suppose 60 = p*l - 5*s, 16*l = 12*l + 2*s + 60. Solve -3*w + l = -0*w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.3157 and -0.16.\nAnswer: -0.4757","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2 - 12101122122?\nAnswer: -12101122120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -440 times 0.2?\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*(m\/(m\/(m\/m**44)*m*m))\/m*m*m*m**6*(m*m**(-34))**(-9\/7))**37 assuming m is positive.\nAnswer: m**(1406\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -952697, -1905482, -2858267?\n\"Answer: -952785*h + 88","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) be the first derivative of -y**6\/30 + 5*y**2\/2 - y - 3. Let t(p) be the first derivative of x(p). What is the derivative of t(n) wrt n?\nAnswer: -4*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 6 - 4 - ((-64)\/12)\/(-4). Let a(i) be the third derivative of j*i**3 + 0 - 2*i**2 + 0*i - 1\/24*i**4. Determine a(3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) be the second derivative of w**6\/135 - 7*w**5\/30 + 19*w**4\/18 - 55*w**3\/27 + 2*w**2 + 166*w + 3. Factor o(k).\nAnswer: 2*(k - 18)*(k - 1)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 21915?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2*1\/5)\/((-2)\/(-20)). Solve -2 = -2*z + u for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 1 - 2)*(1 + 8 - 1)*(-6 - 3*b + 4 + 5*b)*(-488*b**3 + 1003*b**3 - 237*b**3) to p + k*b**3 + g*b**4 + c*b**2 + r*b and give k.\nAnswer: 4448","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(175) - (-4*(sqrt(175) + 5))**2) + 3 - (sqrt(7)*6*-4 - (-3 + sqrt(7)*-2)).\nAnswer: -3200 - 773*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s - 1. Let c(l) be the second derivative of 2*l**6\/15 + l**3 - 7*l**2\/2 - l. Let z(p) = -c(p) + 6*m(p). Differentiate z(u) wrt u.\nAnswer: -16*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -281646.1*-8.\nAnswer: 2253168.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 11415952 to the power of 1\/3, to the nearest integer?\nAnswer: 225","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b**3\/3 - 84980*b**2\/3 + 10727432*b\/3 + 10812416\/3 = 0 for b.\nAnswer: -1, 128, 21118","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 4*q, 14 + 11 = d + 5*q. Suppose d = o - 2*u, 6*u = -4*o + 4*u + 30. What is the least common multiple of o and 18?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 * -1.13\nAnswer: -0.565","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (1080\/(-60))\/198 - 1410\/(-22)\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 289 and 9979?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that -4*b**5 - 28*b**4 + 5664*b**3 - 95744*b**2 + 483328*b - 393216 = 0.\nAnswer: -48, 1, 8, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -1577 divided by -48242?\nAnswer: 1577\/48242","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 9\/2*462\/9*3. Let h be l\/(-88) + 8 + 1\/(-8). Sort -4, h, 29 in descending order.\nAnswer: 29, h, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2 - (597\/36)\/(-1). Let p = h + -69\/4. Factor -2\/3 + 4\/3*r**3 + 0*r**2 - p*r + 2\/3*r**4.\nAnswer: 2*(r - 1)*(r + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-64)\/6)\/(-8)*630\/(-8120)?\nAnswer: -3\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4 - -48b303?\nAnswer: 48b2cc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 (base 11) in base 4?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 10400944?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) be the second derivative of -242*l**7\/7 - l**4\/6 + l**3\/3 + 3163*l**2\/2 - 14*l - 4. Find the second derivative of v(x) wrt x.\nAnswer: -29040*x**3 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/4*(15\/10 - 2905\/2310)\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-37)\/148 + 220\/(-16)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (9\/(-30))\/3 - 0\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -828, -1, 4 in increasing order.\nAnswer: -828, -1, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-4)\/10)\/((-7)\/(-910)). Let b = 57 + g. Solve -21 - 4 = b*k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.288 and -491.38?\nAnswer: -141.51744","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = -5*c + 25, -u + 6 = u - 2*c. Suppose f - 29 = -4*m + 4*f, u*f - 20 = 0. What is the greatest common factor of m and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1628284.\nAnswer: 2, 7, 58153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 63\/(-9) - 0 - (0 + 371\/(-28)).\nAnswer: 25\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*a + 3*a + 20. Suppose -3*o = -a*t + 35, t = 2*t + o + 1. Solve 3*g = -r - 1 + t, 3 = r for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -7*p - 273. Let l be i(-39). Solve -2*y = -l - 2 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lffblfbfffffftlflbf. Give prob of picking 2 l and 1 b.\nAnswer: 6\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 15*f**3 + 19*f**2 - 5*f - 5. Let p(g) = 23*g**3 + 28*g**2 - 7*g - 7. Let q(n) = -7*o(n) + 5*p(n). What is the third derivative of q(u) wrt u?\nAnswer: 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 37\/9 and -74\/9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00039797 to 5 dps.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -43 - 217. Let z = -111 - q. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the third derivative of -f**6\/120 + 13*f**5\/60 + f**4\/8 + 2*f**3 - f**2. Let x = 92 + -79. Is m(x) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/(i\/((i**(-22\/3)*i)\/i)*i))\/i*i*i*((i*i\/(i*i**(8\/3)\/i*i)*i)\/i)\/i)\/(((i**(2\/27)\/i)\/i)\/i**(-33)) assuming i is positive.\nAnswer: i**(-1109\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -18*(-12)\/(-18) - -9\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 1068 = 216. Let t = p + 468. Calculate the greatest common factor of t and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -5*((-684)\/5)\/3. Calculate the common denominator of -198*(-2 + k\/112) and -131\/30.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 209\/(2\/5*(-60)\/(-24)). Let y = -147 + j. List the prime factors of y.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 105, 115, 123, 129?\n\"Answer: -d**2 + 13*d + 93","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 104 is divided by 35?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 392466.300123 + -392471.4. Let j = d - -5.1. Round j to 5 decimal places.\nAnswer: 0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -3*g - 23. Let j be s(-13). Suppose 0 = 5*t - 3*f - 27, -4*f = 2*t + j - 6. Solve -t*b - 5*b = 16 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11539 (base 15) to base 5.\nAnswer: 3231204","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 41*o. Let f(b) = 7*b**2 - b. Calculate q(f(x)).\nAnswer: 287*x**2 - 41*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 166668*r**2 + 10*r - 18. Let j be z(-9). Round j to the nearest one million.\nAnswer: 14000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 396 + -397. Let d = 3.7 - 4. Sort d, 3, -1\/7, o in increasing order.\nAnswer: o, d, -1\/7, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 2*z**2 + 2*z - 1. Let l(t) = 431*t**2 + 14*t - 6. Give -7*j(s) + l(s).\nAnswer: 417*s**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 14, -2, -5, -32?\nAnswer: -32","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 154 + -154.94. Let l = 1.14 + u. Which is the nearest to 1? (a) -6 (b) -0.1 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (14 - -15 - 26) + 25?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*y + 0*y - 3*y + y + 2*y**2 - 3*y**3 as h*y**2 + x*y + k*y**3 + w and give k.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -48819, -195394, -439685, -781686, -1221391, -1758794?\nAnswer: -2393889","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5018549.\nAnswer: 739, 6791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-5)\/16)\/(-5))\/(-1*7\/(-7))?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*p + 10*p = 14. Let a = -22 + p. Let z = 94 + a. List the prime factors of z.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8569*d = 2*i - 8565*d - 8, 5*i - 6*d = -44 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = 4*f + l + 1516, -f - 2*l + 1501 = 0. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -166\/49 + 400\/147. Let f = 4 + -4.4. Let j = 14 + -89\/6. Which is the nearest to 5? (a) f (b) l (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 52 a factor of 16432?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 175 is divided by 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -45*(84\/35 - 3) + 1*-6. Solve 0 = -4*w + 5*r + 27, 5*w = -6*r + 8*r + d for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2d (base 14) to base 9.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 4 + 6)*(-1 + f**2 + 3*f - 3*f + (-f + 2*f - 3*f)*(-25*f - 15*f + 7*f)).\nAnswer: 469*f**2 - 7","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) be the first derivative of -y**4\/4 - 5*y**3 - 7*y**2 + 2*y - 1. Let n be b(-14). Factor -2*c + 2*c**2 + 3*c**2 - 7*c**n + 5*c**2.\nAnswer: c*(3*c - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3441093 by 9.\nAnswer: 1147031\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -415165, -830269, -1245363, -1660441, -2075497?\n\"Answer: z**3 - z**2 - 415108*z - 57","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -52556400 to the nearest one million.\nAnswer: -53000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 4177754, 4177755, 4177756, 4177757, 4177758, 4177759?\n\"Answer: u + 4177753","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 148\/8*((-12)\/(-14)*(-301)\/129 + 4).\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(99)*3*-4)\/(sqrt(81)\/sqrt(36)).\nAnswer: -24*sqrt(11) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the third derivative of -f**6\/120 + 3*f**5\/20 - 3*f**4\/8 + f**3\/6 - 17*f**2. Suppose -7 = 4*h - 39. Give i(h).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 29 - 121 - 115*v + 40 + 29 in the form f*v + y and give f.\nAnswer: -115","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i**3 - 13665*i**2 - 25306304*i = 0. Calculate i.\nAnswer: -11456, -2209, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -345062872 by -4.\nAnswer: 86265718","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-10)\/2 + (-3 - -2). Let z(m) = -11110*m**3 + 7*m**2 + 3*m + 6. Let g be z(l). What is g rounded to the nearest one million?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 89 minutes before 3:03 PM?\nAnswer: 1:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23 - 36 + 2494*n + 13 - 2838*n.\nAnswer: -344*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -115*g + 4. Let c(f) = f**2. What is j(c(y))?\nAnswer: -115*y**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 114 - 97. Suppose -4*m - i + 25 = 0. Solve 4*v = -m*o - 2*o + 16, -v = 0 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 505*r + 65. Let x(c) = -421*c - 66. What is -5*d(s) - 6*x(s)?\nAnswer: s + 71","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(36) - sqrt(36)*3)*2)\/(1*(sqrt(12) - sqrt(12)*-1)).\nAnswer: -2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = j**2 - 2*j - 8. Suppose 4*g + 12 = c, c + 3*g = -0*c - 16. Let x(w) = w + 1. Let p(r) = c*x(r) - 2*f(r). What is the derivative of p(v) wrt v?\nAnswer: -4*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((f**(2\/9)\/f)\/f*f)\/(f*f**2*f))\/(((f\/(f*f**2*f*f)*f)\/f)\/f**(2\/5)))\/(f**(-2\/5)\/((f**(-6)*f)\/f))**(-16) assuming f is positive.\nAnswer: f**(803\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -47\/24 and 173\/141120?\nAnswer: 141120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -495225 or 2\/197?\nAnswer: 2\/197","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 88 and 3083476?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 2, s: 3, y: 8, r: 4}. Give prob of sequence iis.\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 134744?\nAnswer: 2, 16843","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 41\/(1435\/(-42))*-405 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j and 1 v when three letters picked without replacement from vgjajajvvgvvjvvjjj?\nAnswer: 49\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000288777 to 4 dps.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l - 307 = -3*y + 2*l, 0 = 5*y - l - 507. Let b = y - 98. Suppose 3*f = b*c - 3, -2*f - 8 = -6*f. Solve -c*o = -0*o + 15 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/2, -6, -0.2, 3, 1.99 in descending order.\nAnswer: 3, 1.99, 1\/2, -0.2, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1449235 to the nearest integer?\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 2 - 3)*(-2*u + 4*u - 3*u)*(3 + 2*u - 3).\nAnswer: -6*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*t**4 - 48*t**3 + 34*t**2 = 0. What is t?\nAnswer: 0, 1, 17\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 508584?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 3 = -3*g + 6, -q + 2 = 2*g. Let o be -1059999 + (2\/(-1) - (q + -1)). Round o to the nearest one hundred thousand.\nAnswer: -1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -q**3 - 14*q**2 + 12*q - 43. Let r be z(-15). Let k = -73 + 164. Suppose -k = -r*v + 107. What is the units digit of v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13158 a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*n**4 - 3 + 3 + (2*n**2 + 2 - 2)*(-33*n**2 - 8*n**2 + n**2).\nAnswer: -78*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -847*b + 845*b + m = 12, 4*b - 24 = -m for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1497, -1489, -1479, -1467, -1453, -1437?\nAnswer: -1419","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide (1\/(6\/(-8)))\/(16\/(-264))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 46 divide 576?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 - -5 - (1 - -5) - 7.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 0.3, -2.1, 5, -3\/7 in decreasing order.\nAnswer: 5, 0.3, -3\/7, -2, -2.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33318388 is divided by 1015.\nAnswer: 1013","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3.8 - -5. Let x = t - -3.8. Let l = -1478\/9 - -164. What is the third smallest value in l, x, 2\/5?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-18)\/(-63) + 30\/(-56)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-72)\/(-54)*(-6)\/4.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 + -65 - -6) + (8 - -1)?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -3*f**2 + 820*f + 95393. Determine p(-88).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 25 + -57. Let m be (-12)\/6 - (2 - -134). Let j = s - m. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4879\/3444*24\/(-2)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 16*t**3 - t**2 - 13*t + 32. Calculate x(3).\nAnswer: 416","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -211013101 + 2?\nAnswer: -211013033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 5*y + 4. Let k(u) = -22*u - 4379. Calculate k(f) + 4*q(f).\nAnswer: -2*f - 4363","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 133*s**2 + 434*s - 1332. Determine u(3).\nAnswer: 1167","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*(g*g**13)\/g)\/(g*g*g**(-7\/3)\/g)*g**(-2)\/(g*g\/(g\/g**(-13)*g)))**(7\/10) assuming g is positive.\nAnswer: g**(553\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -83 < -29987\/366?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 0*l**4 - l**4 - 14*l**4)*(-448 + 54 + 47) to the form i*l**2 + x + h*l + v*l**4 + g*l**3 and give x.\nAnswer: 694","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i, 1 k, and 2 y when four letters picked without replacement from kyeeyi.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*g - 17*b - 81 = -11*g - 15*g, -5*g + 5*b = -45 for g.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(52)*-2)**2 + -4 + (1 + sqrt(637) - sqrt(637)) + -4.\nAnswer: 201","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(16)\/sqrt(2)*6)\/(sqrt(196) - sqrt(196)*-3) - (sqrt(32) + 0 + sqrt(8)\/(4*sqrt(4))).\nAnswer: -113*sqrt(2)\/28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3 or -36.641?\nAnswer: -36.641","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -6771*d + 129331. Determine y(19).\nAnswer: 682","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 262180.\nAnswer: 2, 5, 13109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3 - 4. Let z = -6684 - -6709. Sort 2, z, 1, j.\nAnswer: j, 1, 2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 6*o**2 - 3*o. Let i(c) = -c**2 + 3*c. Let z be i(4). Let g(p) = 6*p**2 - 4*p. Let w(q) = z*s(q) + 3*g(q). Let a(u) = -u. What is a(w(d))?\nAnswer: 6*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-931)\/(-133)*(-70)\/(-735)*(-198)\/(-4).\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.05 and -7029.6.\nAnswer: 351.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 485 minutes before 9:16 PM?\nAnswer: 1:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 77721857 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 392234095?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (434\/6510*12\/(-10))\/1.\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -602037309 + -66684\nAnswer: -602103993","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44521*h**5\/4 - 6700516*h**4 - 5198122677*h**3\/2 - 202086368134*h**2 + 7662742945*h\/4 - 4539678 = 0. Calculate h.\nAnswer: -143, 1\/211, 888","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = v. Let x(j) = 14*j + 1. Give -5*r(b) - x(b).\nAnswer: -19*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.3, 1\/8, 0.02, 10?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 22993*a**3*s*u**2 - 511*a**3*u - a*s*u**2 + a*u**2 - 4*u**2 wrt s?\nAnswer: 22993*a**3*u**2 - a*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the second derivative of 5*t**3\/3 + 10*t**2 - 20*t. What is the derivative of h(w) wrt w?\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j - 14 = 2846*c - 5683*c + 2842*c, 3*j - 2*c + 7 = 0 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1720 less than 5433373?\nAnswer: 5431653","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -172*g**3 + 116*g**2?\nAnswer: -1032","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -413, 0, 30.7?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 84497 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 85100644?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1106\/(-158)*(-11)\/7)\/(2\/(-2)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 73\/5 of a litre?\nAnswer: 14600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 4*z = 15, 2*z - 1 = -p + 4. Suppose 3*s + 62 = p*s. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -88\/259315 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*m + 5215 = -5*q + 4*m, 4*q + 4203 = 3*m. Let v = 95 - 247. Let d = v - q. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 + (-8 - (-3 + -5 + 4))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 5*r**2. Let m(w) = 1. Let s(y) = -2*y - 3. Let t(c) = 3*m(c) + s(c). Calculate t(v(i)).\nAnswer: -10*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 548998 to the nearest integer?\nAnswer: 741","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.124 - -0.007. Let g = 4.117 + p. What is the nearest to 1\/4 in -3, 38, g?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the third derivative of 0*p + 7\/24*p**4 + 4*p**2 + 2\/3*p**3 + 0 + 1\/60*p**5. Determine h(-5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7 - (6 + 13) - -5) + 10 + 14?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 349 - 8. Suppose -2*y + 3*h = -195, -2*h + 25 = 4*y - m. Let w = -36 + y. What is the remainder when w is divided by 29?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -g**4 - 5*g**3 + 12*g**2 + 53414*g?\nAnswer: -12*g**2 - 30*g + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 145 divide 16203586?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 5*o**3 + 11*o**2 + 13. Let n(d) be the first derivative of d**4\/2 + 2*d**3 + 7*d + 47. Let r(q) = -11*n(q) + 6*w(q). Determine r(-1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11330394?\nAnswer: 2, 3, 1888399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = i**2 - 3*i + 4. Let m = 17 - 14. Let y be w(m). Suppose y*x + 16 = 0, o + 3*x = 5*o - 20. Solve -o*q - 7 - 1 = 0 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the first derivative of h**6\/69 + 12*h**5\/115 + 7*h**4\/23 + 32*h**3\/69 + 9*h**2\/23 + 4*h\/23 - 124. Determine a so that u(a) = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -21625, -42478, -63331?\n\"Answer: -20853*u - 772","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 288439 less than 288438?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -3*k**2 - 193*k - 4956. Let r be x(-30). Are -1870 and r non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of (75\/4)\/((-21)\/(-140))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -38349 (b) -1.2 (c) 0.4 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -15 - -10. Let a(m) = m**2 + 12*m. Let d(j) = -j**2 - 11*j + 1. Let z(k) = g*a(k) - 6*d(k). What is z(-5)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*s**2 - 12708*s + 143351?\nAnswer: -4*s - 12708","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (3*-12)\/(-1)*19\/2. Let g = x - 165. What is the hundreds digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(-3\/8)\/(z\/z**0)*z**(-2\/17)*((z*z**(2\/5))\/z)\/z assuming z is positive.\nAnswer: z**(-1423\/680)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7 + 83*z**2 - 7 + 186*z**2 to the form d*z**2 + u*z + g and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z**3 + 10*z**2 + 4*z - 9. Suppose 0*q - 12 = -4*q. Suppose t = -2, -q*t = -5*k - 0*t - 39. Is 9 a factor of m(k)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -241 = -4*u - 3*v, 30 = u - 5*v - 36. Suppose 46*y - 41*y = -210. What is the remainder when u is divided by (((-4)\/8 - 1) + 1)*y?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*i**2 + 757*i + 3*i**2 - 757*i.\nAnswer: 9*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*y + 3*z + 6, -9*z + 5*z = 3*y - 13 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2734035 - 27?\nAnswer: 2734006","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: 14159+40\nAnswer: 14199","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*u**3\/7 - 255*u**2\/7 + 792*u - 756.\nAnswer: 3*(u - 42)**2*(u - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 442691 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-804*j + 242076 - 242076)*(2*j - j + 2*j).\nAnswer: -2412*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5206270 = 752*u - 31661 - 4219221. Is u a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-5525)\/(-17))\/65)\/(14\/2)?\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-15)\/(-10))\/((-2)\/(-4)). Solve 10 = -2*z - j*z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 598382 and 10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 64672?\nAnswer: 2, 43, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6610?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 7399907993 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9491, -18956, -28421, -37886, -47351?\nAnswer: -56816","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -2*c**2 - 24*c - 56. What is w(-10)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2405989?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11204.\nAnswer: 2, 2801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u**2 - 2*u - 3. Let i be y(-2). Suppose -i*x - 8 = -6*x. List the prime factors of x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 448 - 1311 = -133*x + 3792 for x.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -276689 divided by 407?\nAnswer: -276689\/407","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 404936?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 19*o**2 + 11*o + 31*o - 82*o**3 + 81*o**3 + 5. Let l be d(21). Suppose b = 6*b + l, -5*x + 4*b = -104. List the prime factors of x.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -q**2 + 4*q + 125. Calculate x(13).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(24)*2)\/sqrt(6))\/(sqrt(128) - sqrt(128)*1 - sqrt(2)) + (5*sqrt(16)*-2)\/(sqrt(72)*-1) + 1.\nAnswer: 1 + 4*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10 - -10001?\nAnswer: 10011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = a**3 - 8*a**2 + 69*a - 892. Calculate g(10).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 27\/2 and 79\/56114.\nAnswer: 56114","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*k + 8*k = -2. Suppose 4 = -4*n - 4. Let b be -2 + n + 6 - k. What is the nearest to 1\/3 in b, -8, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 74743810 to the nearest integer?\nAnswer: 421","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 6*a**2 + 32*a - 19*a - 9*a)*(2*a**2 - 4*a**2 + 3*a**2).\nAnswer: -6*a**4 + 4*a**3 + 5*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1787047.\nAnswer: 307, 5821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-411)\/6 - 2\/(-4). Let b be ((-17)\/f)\/((-4)\/(-6)). What is the second biggest value in -4, b, -0.3, 2?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*b**2 + 0*b**2 - 5*b**2 - b**2 to k*b + n*b**2 + u and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 2*f - 26. Determine r(18).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.4 + -0.5. Let k = -60059\/13 + 4620. Which is the closest to o? (a) -1\/4 (b) -0.5 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + ((sqrt(1700) + sqrt(1700) + -1 + -5)**2 + -6*(sqrt(1700)*3 - sqrt(1700)) + sqrt(1700) - (-1 + (-5*sqrt(1700))**2 + sqrt(1700))*-2))*3.\nAnswer: -990*sqrt(17) + 275511","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = 15, 4*y - 13 = 3*o + 12. Suppose 4*x - 27 = -j - 4*j, x = 2*j + 10. Suppose -3*s - y*b + 20 = -6, -3*s + x = -5*b. What is the units digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 678 minutes before 7:54 AM?\nAnswer: 8:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the second derivative of -q**5\/50 + q**4\/30 + 92*q**3\/15 - 36*q**2 - 3058*q. Find c such that d(c) = 0.\nAnswer: -10, 2, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2 (b) -4 (c) 2\/11 (d) 2\/37\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = -m + 5*d, 3*m + 3*d + 3 = -0*d for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -163\/3 - -56. Which is smaller: 0.2 or r?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yyuu when four letters picked without replacement from {y: 5, q: 2, u: 4}?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -h**3 + 28*h**2 + 11*h + 62. Let l be a(30). Round l to the nearest 100.\nAnswer: -1400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15658561 divided by 3013.\nAnswer: -5197","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -28, 5, 4 in decreasing order.\nAnswer: 5, 4, -28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -56, -96, -136?\nAnswer: -176","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1435 - 1435 + 219*o)*(1 - 5 - 2)*(5 + 0 - 3).\nAnswer: -2628*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -457*a**3 - 1140*a**3 + 21*a**3 - 1014*a**3.\nAnswer: -2590*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 82\/3 + -404\/15. Sort 2\/9, -0.3, n in decreasing order.\nAnswer: n, 2\/9, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 163\/11 + 20\/110. Let k be t\/(-35) + (-3978)\/(-21). Let a be 23 + -3 + 1 + 0. Calculate the highest common divisor of a and k.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -5, 51\/80, 3, -0.21, 0.2, 12?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -182238 divided by 26034?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.128 and -753.\nAnswer: 96.384","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**6\/((f**(-2\/13)\/f)\/f))**(-44) assuming f is positive.\nAnswer: f**(-4664\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (((-135)\/10)\/(-9))\/((-3)\/(-6)). Suppose 20 = 4*n + n. What is the fourth smallest value in -0.4, -8, n, r?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4380 - -8024. Calculate the remainder when y is divided by 64.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3805*t + 15 - 1568*t - 15 - 929*t to the form m*t + h and give m.\nAnswer: 1308","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 32*c - 2. Let f be w(7). Suppose 0*p + f = 3*p. What is the tens digit of 1\/((1\/(-8))\/(p\/(-8)))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -12158, -12140, -12120, -12098, -12074, -12048?\n\"Answer: b**2 + 15*b - 12174","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (-2 + 3*(sqrt(1573) - (3*3*sqrt(1573) + sqrt(1573))))**2.\nAnswer: 1188*sqrt(13) + 1146721","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4762214.\nAnswer: 2, 2381107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -275*n + 184 = 787 + 1322 for n.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -g. Let s be -2*(-1 + 3\/(-2)). Let f = 0 + s. Let i(u) = 7*u - 1. Suppose 7 = 3*a - 2*r, -2*a + 5*r + 12 = -0*a. Determine a*i(t) + f*k(t).\nAnswer: 2*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 4*j - 393. Let l(c) = 96*c + 1. Determine m(l(k)).\nAnswer: 384*k - 389","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 202220 (base 5) to base 11.\nAnswer: 4a24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 553 minutes before 5:08 PM?\nAnswer: 7:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -l**6*r - 49250*l**4 + 4*l**2*r - 10*r + 41 wrt l.\nAnswer: -120*l**3*r - 1182000*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -t**2 + 8*t + 5. Let y(q) = 2*q**2 - 14*q - 9. Let n(p) = 7*x(p) + 4*y(p). Let o(d) = -d**3 + d**2 - 5. Calculate -5*n(c) + o(c).\nAnswer: -c**3 - 4*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 2*t - 0*t. Suppose -4 = 4*c, -x = -2*c + 4 - 8. Let k(d) = 2*d**3 + d**3 + x + 7*d**2 - 4*d**3. Calculate k(t).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.28576 + -6.41\nAnswer: -6.69576","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 644 minutes after 2:18 AM?\nAnswer: 1:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -42, -36, -22, 6, 54?\nAnswer: 128","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h + l + 648 = 5*h, 4*h + 5*l = 530. Let t = 245 - h. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -48, -94, -138, -180, -220, -258?\n\"Answer: v**2 - 49*v","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.91 + 0.09. Let o = 2.5 - 2.1. What is the biggest value in 0.3, o, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = -2*i - 7 + 37, -2*i + 5*s = -3. Suppose 3*a = 4*v + 15 + i, 3*a - v = 15. Differentiate 19 + a*g - 3*g - 17*g wrt g.\nAnswer: -16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.03 times 1181714\nAnswer: -35451.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 8148367 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -1.99 + -59276491\nAnswer: -59276492.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(1\/8)\/(y**0*y))**(3\/17)\/(((y\/((y\/y**(-2\/3))\/y))\/y)**(5\/8)\/((y*y**(2\/3))\/y**(-1))) assuming y is positive.\nAnswer: y**(1195\/408)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -450*f**2 + 147*f**2 + f + 135*f**2 + f + 142*f**2.\nAnswer: -26*f**2 + 2*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 7067 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.010804 to 4 decimal places.\nAnswer: -0.0108","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 - 7 = -4*n. Suppose -p + 3*q = -q - 2, n*q + 6 = -p. Is -2 less than or equal to p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10135, -20321, -30537, -40783?\nAnswer: -51059","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 25, -1.27, 2\/1139.\nAnswer: -1.27, -1, 2\/1139, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 4*b + 2 = 16, 2*g - 2*b = -22. Let a be (-10)\/(-15) + 4\/g + 9392. Suppose 39124 - a = 4*n. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2834672810.\nAnswer: 2, 5, 283467281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - j = -16473, 13*j = 16*j + 9. Round b to the nearest 100.\nAnswer: 5500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45 = x - 2*y, -130 = -5*x + 3*y + 102. Is 5 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1)\/5*4*(-6)\/(-8). Which is the nearest to -1? (a) -1 (b) -0.4 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -282*d + 275*d + 63. Does 4 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -246, -493, -740, -987?\n\"Answer: -247*s + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 119 - 116. Let v be ((-14)\/(-6) - f)\/((-10)\/(-75)). Let d(n) = n**3 + 4*n**2 - 7*n - 5. Determine d(v).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*o**2 + 146425*o + 292870.\nAnswer: -5*(o - 29287)*(o + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.18 - -1.1888. Round f to three decimal places.\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = u**2 - 7*u - 26. Give g(9).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 3*d**2. Suppose 4*c - 16 = -4*z, 5*z + 3*c + 4 - 16 = 0. Suppose z = 5*k - 15, 2*p - k + 2*k = 11. Let o(n) = n - 2*n + n + p*n. Give u(o(w)).\nAnswer: 48*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 178034?\nAnswer: 2, 89017","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 27, 119, 273, 489, 767, 1107?\nAnswer: 1509","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -95 - -80. Let x = h + 18. Find f such that -2 - 50*f**2 + 4*f**4 - 16*f + 4*f**x + 26*f**2 + 34 = 0.\nAnswer: -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 43*r - 1. Let o(c) = 44*c - 2. Determine -4*i(h) + 3*o(h).\nAnswer: -40*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the first derivative of -q**3\/3 + 6*q**2 - 4*q + 12. What is the least common multiple of (-72)\/(-5) + (-4)\/10 and n(10)?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*p + 13*p + 10000000. What is p rounded to the nearest one hundred thousand?\nAnswer: -2500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven quarters of a decade in months?\nAnswer: 330","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a millennium in months?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5023889?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-36)\/(-11 + 5) + -3. Suppose 2*w = -4*p - 7 + 1, -3*p = b*w + 6. Let l(c) = -3*c**2 + 4*c**2 + 2*c**2. Give l(w).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -51 + 79. Which is bigger: g or 26?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -707424 - 14*f + 707427 - 40*f + 12*f.\nAnswer: -42*f + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 694214780?\nAnswer: 2, 5, 7, 19, 260983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*((-4)\/10 + (-33)\/30) + -20.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 45\/4 + -11. Let z = 4578 - 4581. Let n be 0 + (6\/(-4) - -1). Which is the nearest to n? (a) z (b) 1\/13 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 77 + -28. Let c be 13\/7 - (-7)\/i. Suppose -b + 5 - 1 = c*u, -u + 16 = -3*b. Solve 7*w - u*w = 15, -5*z = -w - 5 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 836.\nAnswer: 2, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4621 + 4638.588. What is z rounded to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -24*f**3 + 44*f**3 - 5*f - 5*f**4 - 20*f**3 + 2*f + 4*f**2 - 49 wrt f.\nAnswer: -60*f**2 + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*l + 23901*l**3 - 23902*l**3 - 18 - 4*l - 3 + l**2 in the form r*l**2 + y*l**3 + k*l + b and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-3)\/1)\/(-42*32\/448))\/23?\nAnswer: 1\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*c = -32*c + 4. Solve 3*h + 8 + c = 0 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-69)\/(-161) - 1044\/(-14). Let h = -54 + m. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 561 is divided by 94.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 52135564 a multiple of 1149?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) be the third derivative of -1\/30*x**5 - 1\/6*x**4 + 0 + 0*x - 47*x**2 - 1\/120*x**6 - 1\/2*x**3. Give f(-2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 4*b - 6. Let c be u(1). Put 2, c, -5, 1 in ascending order.\nAnswer: -5, c, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) be the first derivative of 3*t**4\/2 + 3*t + 32. What is the derivative of y(n) wrt n?\nAnswer: 18*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9)\/(9\/2) + 2 + 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: d (base 16) to base 7\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -246*a**2. Let c be g(1). Let h = c - -354. Does 6 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -6, -0.1, 0.4, -1\/6 in descending order.\nAnswer: 0.4, -0.1, -1\/6, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1667932?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -t**4 - t**2 + 3 + t - 3 - 2*t**3 - 8*t to g*t**2 + l + i*t + z*t**3 + v*t**4 and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 7, 1\/2, -300 in increasing order.\nAnswer: -300, -3, 1\/2, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 + 8 - 24 - 9?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 29148?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -l - 11. Let k(v) = -12 + 3*v - 8*v + 2*v - 22. Let y(w) = -11*a(w) + 4*k(w). Let s be y(-8). Which is bigger: s or -8?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -d**2 + 22*d + d - 10*d**2.\nAnswer: -11*d**2 + 23*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -16*k + 17285 + 85947. Let v = k - -1733. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (14 + -9 + -1 - 5) + -18?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 12*q**2 + 183*q - 864. Let w(y) = 3*y**2 + 48*y - 216. Let r(p) = 6*c(p) - 25*w(p). Let r(o) = 0. Calculate o.\nAnswer: -36, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16 + 15 + -19 - (49 + 41)?\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 3, b: 2, k: 1, f: 2, p: 4, m: 3}. What is prob of picking 1 p and 2 b?\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 7 = 4*m. Let l = m + 3. Solve 0 = -3*o - 2*o + l for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 5 (b) 0.3 (c) 0.2 (d) -3277418\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 - 59*k + 7*k - 13*k + (-3*k + 2*k + 0*k)*(1 + 4 - 4) + 3*k - 2*k - 3*k + 0*k - 9*k + 19*k + (5 - 3 - 3)*(1 - 1 - 2*k).\nAnswer: -56*k - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -24*b - 1. Determine s(3).\nAnswer: -73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 11969 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 9962 and 10841?\nAnswer: 293","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.001088 to 4 decimal places.\nAnswer: -0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 22821859*m + 24661806?\nAnswer: 22821859","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 176112?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) be the third derivative of t**4\/24 - 2540*t**2. Let c(z) = 3*z - 5. Determine c(l) - 2*o(l).\nAnswer: l - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**3\/5 - 13794*g**2 + 413777*g\/5 + 482748\/5.\nAnswer: (g - 68964)*(g - 7)*(g + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -76957*y**2 - 60. Let d(f) = -2*f. Determine k(d(m)).\nAnswer: -307828*m**2 - 60","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 178 + -178. Let z(n) = 55*n - 223. Let j be z(4). Put h, j, 3, -1 in descending order.\nAnswer: 3, h, -1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 8*i + 22 = 0. Which is the second biggest value? (a) 3\/31 (b) i (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*t - 5*t = -36. Let f be ((-6)\/t)\/(286\/(-974)). Let a = f - -98\/39. Calculate the common denominator of -7\/15 and a.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3851 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2080)\/(-2400)*(-105)\/7?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -2*h**2. Let c(v) be the third derivative of -1\/8*v**4 - 3*v**2 + 0*v + 0 + 0*v**3. What is c(x(y))?\nAnswer: 6*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = x + 13, -35 = -4*d + 3*x - 12. Sort d, 56, 2 in increasing order.\nAnswer: 2, d, 56","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (4\/(-25))\/(4\/(-10)). Let d be ((-7)\/(-2))\/(3\/6). Suppose -2*n - d = -q, 0*q - 3*n = 5*q + 4. Which is bigger: q or r?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -y + 2. Let q be j(0). What is the second biggest value in 4, -0.2, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = -5*g + 20247, 10*r + g = 5*r + 33745. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of o**4 + 675*o**3*u**3 - u**3 + 1488*u**2 wrt o?\nAnswer: 4*o**3 + 2025*o**2*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(30)\/(sqrt(48)\/(4*sqrt(8) - sqrt(8))) - 4*(sqrt(180) + -1)*-5.\nAnswer: -20 + 126*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e and 2 y when four letters picked without replacement from {m: 7, y: 2, e: 9}.\nAnswer: 1\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/6)\/(2*(-15)\/2340*-91).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -14100293 by -6.\nAnswer: 14100293\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 718453411 to the power of 1\/2, to the nearest integer?\nAnswer: 26804","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 80822 a multiple of 322?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -3*n. Let f(k) = 7*k. Let x(j) = -4*f(j) - 9*m(j). Let y(w) = 9*w - 6*w - 6*w. Give x(y(c)).\nAnswer: 3*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9.3*-1.\nAnswer: 9.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -945*p + 941*p - 8 = 0. Put 4.935, -2\/7, p in decreasing order.\nAnswer: 4.935, -2\/7, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -r + 0 + 0 + 2*r**3 wrt r?\nAnswer: 12*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 2*b - 295. Let q(y) = -2*y**2. Give q(v(h)).\nAnswer: -8*h**2 + 2360*h - 174050","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r + 2*r = 2*r + 4*i + 16, -12*r = -3*i - 75 for r.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -38 divided by 7924080.\nAnswer: -19\/3962040","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000004562986 rounded to five decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.144 + -2.086. Let a = 0.23 + g. What is the fourth smallest value in a, -3\/2, 0.2, -2.4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = v**2 - 11*v + 11. Let u be f(11). Let k be 66\/(3\/(-6)*-3). Calculate the highest common divisor of k and u.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 40194 divided by -1\nAnswer: -40194","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -86*t + 34035 = -1311. What is the remainder when t is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (2 + 2 + -268)*(-2)\/6. Calculate the greatest common factor of 11 and k.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29 = -5*i + 19 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 3 (b) -0.4 (c) -2\/3 (d) 15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 4 (b) 4\/3 (c) -0.05 (d) -0.4 (e) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*g + 2*g - g)*(-4 + 4 - g) - g**2 - g**2 + 3*g**2 + 2*g**2 + 4*g - 4*g + (-4*g + 4*g - 2*g**2)*(0 - 4 + 2) to z*g + t*g**2 + s and give t.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4 - 2 - c**3 + 0*c**3 + (5 - 5 + 9*c**2)*(-3 - c + 3).\nAnswer: -10*c**3 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -1*(3 + 3 + sqrt(4608) + (sqrt(3872) - (sqrt(3872)*1 + sqrt(3872))) + 0).\nAnswer: -9 - 4*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-23 + 39)*(1030\/618)\/((-5)\/18)?\nAnswer: -96","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -101589 = -a + 13*w - 101594, -5*w + 20 = -4*a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 160257.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -47\/42 and -131\/12.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1079 + 1078.99999916. Round h to 7 dps.\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -130*l + 21 = -123*l. Solve -3*x = 3*v + 18, 0 = -l*x + 3*v - 4*v - 16 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 708 and 24981804.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 328*k - 879*k + 31647 = 408*k for k.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 312488 - 312488.196881. Let r = -0.288 + 0.091. Let m = g - r. What is m rounded to five dps?\nAnswer: 0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 33828930?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -170036\/69 or -2463?\nAnswer: -170036\/69","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 25*a + 70*a + 93 + 1237 for a.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, n: 4, o: 1, i: 2, z: 2, e: 5}. What is prob of sequence nz?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 821 a factor of 25564298?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -39928343, -39928342, -39928341, -39928340, -39928339?\n\"Answer: b - 39928344","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 254 = -2*v + 4*y, 3*v + 0*y + 402 = -y. Let m = v - -271. Let i be 5*-1 - (6 - 8 - 9). Calculate the greatest common divisor of i and m.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 32200?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 47.51671 millennia?\nAnswer: 570200.52","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -269729, -269728, -269727, -269726, -269725, -269724?\nAnswer: -269723","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -6, -5, -1430\/9.\nAnswer: -1430\/9, -6, -5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q\/q**0*q)**(2\/129))**(6\/11) assuming q is positive.\nAnswer: q**(12\/473)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -14, -0.3, 3, -3\/8, -49?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-669)\/228 + (-9)\/12. Let x = -521\/95 - n. Let u = 1\/74 + 737\/222. Calculate the common denominator of x and u.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-14)\/(-3) - 42\/(-126). Let j(m) = -9*m + 5. Let k(w) = 14*w - 7. Determine h*k(i) + 7*j(i).\nAnswer: 7*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*h**3 - 19*h**3 + 2*h**3 + (0*h + 2*h - 4*h)*(0*h**2 + h**2 + h**2).\nAnswer: -16*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the second derivative of -34*n**7\/7 + 33*n**3\/2 + 275*n. Find the second derivative of j(x) wrt x.\nAnswer: -4080*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -165747, -165752, -165759, -165768, -165779, -165792?\nAnswer: -165807","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47*x - 20 = 51*x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate t**4 - 231 + 650*t + 250763*t**2 - 250763*t**2 - 931 with respect to t.\nAnswer: 4*t**3 + 650","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -31014 - 4?\nAnswer: -31021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -5*l*p + 952223*l + 2594*p wrt p.\nAnswer: -5*l + 2594","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 3*f**3 - 5*f**2 - 5*f - 1. Let i(c) = -2*c**3 + 4*c**2 + 4*c + 2. Let m(n) = -4*i(n) - 3*t(n). Suppose v + 8 = -3*v. What is the units digit of m(v)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) be the first derivative of 13*l**5 + l**4\/4 - 39*l**2 - 2*l + 53. What is the second derivative of n(u) wrt u?\nAnswer: 780*u**2 + 6*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (0 - -6) + (22 - ((12 - 9) + 13))\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 7443752893 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = 2*m - 10, 3*n + 2*n - 26 = -4*m. Suppose n*l = -2, 9*l = t + 4*l - 10. Let d(f) = 3*f - 4. What are the prime factors of d(t)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/(l\/(l**(-2\/27)\/l))*l)\/l*l**8)\/(l*l*l**2)**(1\/17) assuming l is positive.\nAnswer: l**(3071\/459)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 5*d**2. Let z(l) be the third derivative of 0*l**3 - 3*l**2 + 1\/24*l**4 + 0*l + 0. Determine z(i(m)).\nAnswer: 5*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 5*v = -0*l + 15, -3*l = 5*v + 15. Let t(a) = -a**2 - 5*a + 6. Determine t(l).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 37 - 34. Let m = 0.1 + 0.4. What is the second biggest value in 3\/8, n, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.1 and -60.4833?\nAnswer: 60.3833","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1.4, 2\/7689, -5, 0.3, -21?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*j + 8*p - 3*p + 85, 5*p = -4*j + 35. Let y be j\/(-20) + (-69)\/(-12). Solve 0 = y*h - h + 8 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6826915*f**3 - 80*f**2 + 131*f + 13 wrt f.\nAnswer: -40961490","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/(-4*2\/8). Calculate the highest common divisor of l and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -44*k + 43*k - 2 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 2*k - 3*z - 5 = 0, k + 5*z = -9. Suppose -5*l = 2*t - 5, -l + 5 = t + k. What is the units digit of 1 - l - (-3)\/1?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 154055 - 68758. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*q**2 - 267 + 923 - 38*q**2 - 307 - 294 to the form r*q + d*q**2 + t and give t.\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 6345841 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 59 is divided by 23.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/5*(-2 - -5 - 13). Suppose -3*r + m = -6*d + 4*d, 5*r + d = -2. Solve r = 2*a + 2*a + 12 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:41 PM and 12:27 AM?\nAnswer: 526","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 71035.22 millennia?\nAnswer: 7103522","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 4, u: 6}. What is prob of picking 1 u and 2 i?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) be the second derivative of -5*y**4\/12 - y**3\/3 + 3*y. Suppose 6 = -5*q + 1. Let v(m) = m**2. What is q*b(l) - 4*v(l)?\nAnswer: l**2 + 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 62*w**2 + 3*w + 3. Let f be l(-1). Let t = f - -8. What are the prime factors of t?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + -5 + sqrt(448) + -4)**2 + (sqrt(63)\/sqrt(9)*-2 - sqrt(567))**2.\nAnswer: -128*sqrt(7) + 1359","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -720*w - 23218 = -226*w for w.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 203764103 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2.05, -0.07, 0, 516, 2 in ascending order.\nAnswer: -2.05, -0.07, 0, 2, 516","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of ((-83)\/4)\/(10\/(-80))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1751840 and 328470.\nAnswer: 5255520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00439257 rounded to four dps?\nAnswer: 0.0044","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -9027000 rounded to the nearest 1000000?\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21743045 is divided by 1269?\nAnswer: 1268","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(405))*4.\nAnswer: 36*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 12 + 2?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - (48 + -56 + (4 - 0))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by 147.\nAnswer: -1\/49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5550867 and 58023.\nAnswer: 16652601","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the second derivative of j**5\/5 + 7*j**4\/3 - 80*j**3 + 12*j - 331. Find t, given that q(t) = 0.\nAnswer: -15, 0, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -n**2 - 11*n - 3. Let h be 6\/33 - 90\/11. Let d be u(h). Suppose 4*t - d = 3*t. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -18 - 4c3?\nAnswer: -4db","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-15)\/(-6) + -3 - -1. Let v = 0.6 - 0.2. Let q = 1026\/7345 - -8\/565. What is the closest to w in v, 2, q?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -183 - 0.24549.\nAnswer: -183.24549","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 take away -5708?\nAnswer: 5712","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4*1 - (-1 - -6). What is the smallest value in 3\/4, -3, j?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 221, 3, 4 in decreasing order.\nAnswer: 221, 4, 3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(475) + sqrt(209)\/(sqrt(55)\/sqrt(5)).\nAnswer: 2 + 6*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 142125.\nAnswer: 3, 5, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*i - 55*i + 162 = -100*i for i.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 155 divided by -155.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 70\/15 + 0 - (1 - -4)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the third derivative of a**7\/210 + 3*a**6\/40 + 2*a**5\/5 + 2*a**4\/3 + 3203*a**2. Factor d(z).\nAnswer: z*(z + 1)*(z + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 458 - 313 - 106)*(-5*q + 1 + 6*q + 0*q).\nAnswer: -877*q - 877","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-26)\/117 + (-182)\/(-9).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.163056 to 2 dps.\nAnswer: -0.16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1 + 11. Let q be l*(0 + 1\/2). Let v be 682\/(-165) + 4 - ((-96)\/45 + 0). Solve 2*s - 2*z + z = q, -v*s = -4*z - 20 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 23510, 47020, 70530, 94040, 117550, 141060?\nAnswer: 164570","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2290823 by -4.\nAnswer: 2290823\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r\/(r\/(r\/(r\/(r*r**(3\/17)))))*r*r**28*(r*r*r\/(r*(r*r*r*r*r*r**(-10)\/r*r*r)\/r)*r)\/r**(21\/5) assuming r is positive.\nAnswer: r**(2888\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -94 - -9 - (640 + -741)\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2850?\nAnswer: 2, 3, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1573)*-2 + 4 + sqrt(1573))*6 + 3)**2.\nAnswer: -3564*sqrt(13) + 57357","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 89267690 rounded to the nearest ten thousand?\nAnswer: 89270000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -9aad9 - -108?\nAnswer: -9a9d1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1630163897 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 2*d - 34 = 0, 2*m - 2*d + 247 - 243 = 0. Solve -m*k - 4 + 29 = 0 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7 + -3. Suppose 3 = g + 2*n, x*g + n - 9 = 2*g. Sort 0, -3, g in ascending order.\nAnswer: -3, 0, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vwr when three letters picked without replacement from wddvwrddd.\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:24 AM and 9:58 AM?\nAnswer: 514","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5.8 + 6. Sort 0.11, 1\/3, 1, t in ascending order.\nAnswer: 0.11, t, 1\/3, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:56 PM and 2:25 PM?\nAnswer: 89","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-137)\/(51375\/14850)*30\/(-18)*-1?\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*w**3 + 2 + 430*w**2 - w**4 + 2*w - 434*w**2 - 2*w**3 to the form o*w**2 + i*w + n*w**4 + s + l*w**3 and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y**2 + 6*y - 10. Let a(x) = 6*x + 11. Let u be a(-3). Calculate f(u).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/(-7) - 744\/(-56). Suppose b + 2*d - r = 0, 0 = 3*b + 5*d - 5 - 29. Suppose -5 = t - b*a - 31, 5*a + 32 = t. Does 6 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*u - 1 + 11, -3*z - u = -2. Let m(k) = 2*k**3 - 123*k**2 + 61*k + 10. Let t be m(61). Solve z = 2*l + 4 - t for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 18*k**2 - 3. Let s(m) = -233*m - 2. Calculate s(f(l)).\nAnswer: -4194*l**2 + 697","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -55 > -179682\/3323?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 155932000?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 1, p: 4, l: 3, b: 6}. Give prob of picking 1 d, 1 b, and 1 l.\nAnswer: 9\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 3590831 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(5\/3)\/((g\/(g\/(g\/g**10*g)))\/g*g)*(g*g*g**(-10)*g)\/(g*g*g**(-3\/10)))**(-27) assuming g is positive.\nAnswer: g**(-261\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 167457242.\nAnswer: 2, 17, 4925213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 365374, 365364, 365352, 365338, 365322, 365304?\nAnswer: 365284","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -191 + 359. Let a = -36319096.07 - -36319264.0699897. Let z = a - b. What is z rounded to six dps?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*t = 5*t + 13. Suppose -16*r = -t*r - 30. Calculate the smallest common multiple of 14 and r.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7 - 7. Let v = 9 - x. Is 6 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 63092.01g in micrograms?\nAnswer: 63092010000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(3\/11)\/z)\/z)\/(z\/z**(1\/21)) assuming z is positive.\nAnswer: z**(-619\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 295, 326, 351, 364, 359, 330?\n\"Answer: -k**3 + 3*k**2 + 29*k + 264","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -1788*j**2 - 8*j - 2. Let u(g) = 5365*g**2 + 26*g + 7. Give -13*t(f) - 4*u(f).\nAnswer: 1784*f**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2263022 is divided by 161642.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -52*z**2 + 2*z**2 + 69*z**2 + 106*z**2 + 38*z**2 - 5*z to the form i + b*z**2 + w*z and give w.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 3, i: 4, f: 5, u: 7}. What is prob of picking 3 u and 1 i?\nAnswer: 35\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = t**3 + 8*t**2. Let s be q(-8). Let i(o) be the first derivative of o**2\/2 + 25*o - 3. Is i(s) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/4, 3, 4, -0.2, -2\/41, -59?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 566\/831 - 4\/277. Factor o*r**2 - 4\/3*r - 2.\nAnswer: 2*(r - 3)*(r + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1061 = l - 2*x, -1053 = -l - 3*x + 7*x. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*-3*(((sqrt(256)*1 + sqrt(256))*-4)\/sqrt(8) - (sqrt(3200) - (sqrt(3200) + sqrt(3200) + (-5 + sqrt(3200) + 0 - sqrt(3200))))).\nAnswer: -60 + 96*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -19, -2, -3, -6, -5 in decreasing order.\nAnswer: -2, -3, -5, -6, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, -1, -0.079, -112, 0.2 in descending order.\nAnswer: 0.4, 0.2, -0.079, -1, -112","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 30.1866454 to three decimal places.\nAnswer: 30.187","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 5*l = -79, z = -9*l + 4*l + 109. Let s = -42 + z. Let q = s + -46. Is 4 equal to q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25901244 to the power of 1\/3, to the nearest integer?\nAnswer: 296","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1213501391?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*c + 5*c - 2*c)*(0*c + c + 4*c) - 9*c**2 + 26*c - 1 - 26*c to the form z*c**2 + g*c + y and give z.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -55\/949?\nAnswer: -55\/949","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the second derivative of -k**8\/28 - 15*k**7\/14 - 31*k**4\/3 - k - 58. Find the third derivative of i(v) wrt v.\nAnswer: -240*v**3 - 2700*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 275*n - 277*n + 5*i + 16 = 0, 32 = 4*n - 4*i for n.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 48869 = -74362. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (1 - -1)*387\/(-36) and -59\/18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(425) - (sqrt(425) + 0)*-1) + sqrt(425) + sqrt(425)*-1 + -3 + -2)*4*-2)**2 + 0)*-1.\nAnswer: -110400 + 6400*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 8657503 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 8, -2, -46, -142, -308?\n\"Answer: -3*l**3 + l**2 + 8*l + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 246\/(-15) + 7\/5 + -2. Let r = g - -73. What is the highest common divisor of 14 and r?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the third derivative of 107*u**6\/40 + 827*u**4\/8 + 1172*u**2. Find the second derivative of q(w) wrt w.\nAnswer: 1926*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sssssss. What is prob of picking 2 s?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*y = 14723*b - 14718*b + 37, 5*b = 3*y - 19 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5\/3 + 91\/55. Let b = 832 + -831. Are a and b equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 141 in 2\/9, 0.01623, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 367 + -358. Let l(b) = -165 + j*b - 8*b + 163. Determine l(-5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 88456348 to the power of 1\/3, to the nearest integer?\nAnswer: 446","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (10206\/(-105))\/27*(-1260)\/(-162)?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 928 and 9?\nAnswer: 8352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(8\/5)\/m**11 assuming m is positive.\nAnswer: m**(-47\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -23152*y**2 + 219292*y.\nAnswer: -46304","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1655253880 to the power of 1\/2, to the nearest integer?\nAnswer: 40685","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = 5 + 3. Suppose -j + 20 = t. Suppose 0 = -2*y - n + t, 4*y - 36 + 2 = -3*n. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 36\/11, 3\/13, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 8 = -7*s. Find the third derivative of 32*g**4 + 3*g**2 + 0*g**4 - 6*g**s - 3*g**2 wrt g.\nAnswer: 768*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*d - d - 62*d - 13*d + 2*d**2 to c + w*d**2 + x*d and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) be the second derivative of 1\/15*u**4 + 1\/10*u**3 + 0 - 3*u - 1\/10*u**2. Solve o(i) = 0.\nAnswer: -1, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 426 and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -4, 0, 210, -5, -6, 4 in decreasing order.\nAnswer: 210, 4, 1, 0, -4, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -67 + 64. Let o be (u + 44\/(-3))*(-1 - 2). Is 54 at most as big as o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 7627*y**2 + 9634*y + 630944181 wrt y?\nAnswer: 15254*y + 9634","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = x**2 + x + 42. Let i be d(-9). What is the units digit of 14\/((-1)\/(-2) + (-45)\/i)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*h + 15 = 14*h. Suppose 5*v - f = 173, 4*f = -f - h. Let l = v - 31. Solve 0*d + 2*d + r = 0, -l*r = -d - 7 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2363 + 17 + (-3 - -14)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence frr when three letters picked without replacement from ffssfsrrrggssfzs.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -4400 < -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -10889790010 rounded to the nearest one hundred thousand?\nAnswer: -10889800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -2276*b. Let o(n) = -111551*n. Give o(r(m)).\nAnswer: 253890076*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*u**2 - u**2 - u**2 - 61*u**3 + 474*u**3.\nAnswer: 413*u**3 + u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*k**4 + 5*k**2 - 180*k + 182*k - 6*k**3 + 13*k**4 - 9*k**4 - 2 in the form r*k**4 + b*k**3 + s*k + w*k**2 + l and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, f: 2, v: 1, a: 1}. What is prob of sequence ve?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/((-56)\/(-1662)) - (-6)\/21 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -94 = 71*p - 236 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 31\/8889, -0.02, 0.27.\nAnswer: -0.02, 31\/8889, 0.27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 5 = -2*s, -2*s - 5*k + 49 = 14. What is the second derivative of 8*v**2 + 95 - v - 8*v**2 + 168*v**s - 171 wrt v?\nAnswer: 3360*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/10*22\/(-33)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11856 + 758 = 53*x. Is x a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7 + 25. Suppose 5*z + u = 30, -3*z - 15 = -7*z + u. Suppose 96 = -m + 4*m - b, b = -z*m + 168. What is the remainder when m is divided by f?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11243299 is divided by 470?\nAnswer: 429","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 240 is divided by 30.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the third derivative of 0*d**3 - 1\/8*d**4 + 0*d + 0 - 8*d**2. Let t(v) = v**2. What is t(o(g))?\nAnswer: 9*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = t - 15, 0 = -t + 3*t + r + 5. Let l = t + 93. Does 31 divide (l\/(-12))\/(3\/(-36))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nccn when four letters picked without replacement from noncocnocnn?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 2 w when three letters picked without replacement from kwkkwwik?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i - 17*i = -529 - 371 for i.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((sqrt(80)\/sqrt(4))\/sqrt(5) - (sqrt(24)*2)\/sqrt(6))\/((sqrt(198)*2)\/sqrt(11)).\nAnswer: sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 9791 + -9752. Let b = -24 + 54. What is the least common multiple of b and o?\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 690118073?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 4266.1 times -0.94\nAnswer: -4010.134","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 2*k**2 - 5*k + 5. Let x be t(2). Solve -7 + x = 2*m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*b - 3*b - 2 + 6*b)*(-2*b + 14 - b - 18)*(-3 + 3 + 3*b**2).\nAnswer: -9*b**4 + 6*b**3 + 24*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*o + 15 = -22*o - g, 0 = 5*g - 25 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -k**3 - 16*k**2 + 16*k - 7. Let f be g(-17). Suppose f*d = 5*d + 170. What is the remainder when 133 is divided by d?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 499019 is divided by 261?\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 39071 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7 - 6. Let o(j) be the first derivative of -1\/2*j**2 + 2*j - u. What is the first derivative of o(v) wrt v?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1027 or -16.07?\nAnswer: -16.07","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:31 PM and 12:58 PM?\nAnswer: 27","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-11 + 3620\/330)*-3 - 59\/(-77)?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8846791531 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 18597705?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 84364049?\nAnswer: 7, 11, 269, 4073","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 - 2*q**2)*(2*q**3 - q + q) + 3*q**3 - 193*q**5 + 2 + 163*q**5 - q**3.\nAnswer: -34*q**5 + 2*q**3 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -n + 7. Let h be d(3). Let v be h\/6 + (-20)\/(-6). Let r = v - -1. Solve 5 = 5*t, t = r*s - t - 8 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/65 (b) -2.295 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 54 = 5*c + 2*j, -c - 3036 = -j - 3044 for c.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 671.63 - 22.73. Let d = -772 + x. Let z = d + 123. What is the smallest value in z, 1, -4, 2\/23?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the second derivative of -2 + 42*y + 0*y**2 + 25\/12*y**4 + 23\/6*y**3. What is the second derivative of l(z) wrt z?\nAnswer: 50","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 240 and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1039 - -1710. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-13)*m*m*m**(-2\/13))\/((m**12\/m)\/(m**(4\/3)\/m)) assuming m is positive.\nAnswer: m**(-851\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5674, -5666, -5624, -5530, -5366, -5114, -4756, -4274?\nAnswer: -3650","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 1168129*a. Let v(w) = 4*w**2. Give v(s(p)).\nAnswer: 5458101442564*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-196*k + 108*k - 432 + 90*k)*(3*k**2 - 4*k**2 + 3*k**2) to the form l + d*k + j*k**3 + c*k**2 and give j.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*u - 134 = 174. Factor u*o - 9*o + o + 120*o**3 - 65*o**4 + 20*o**2 - 14*o.\nAnswer: -5*o**2*(o - 2)*(13*o + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/2 of a litre in millilitres?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 723 is divided by 359.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 110510 (base 7) to base 8\nAnswer: 46004","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = -0*f - 5, -490 = 5*i - 5*f. Let t = -92 - i. Suppose -4*s = -s - 12. Solve 0 = 3*h + s*b + 25, 4*b = 5*h - 0*b - t for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*g**2 + 0*g**2 - g**2)*(2*g + 1 - 1) - 35*g**3 + 18*g**3 + 11*g**3 + 0*g**3 + 2*g**2 - 5*g**3 + 3*g**3.\nAnswer: -6*g**3 + 2*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -o**3 - 6*o**2 - 6*o - 5. Let d be a(-5). Solve d = -0*l + l + 4 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1629185419?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:37 PM and 3:13 PM?\nAnswer: 156","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6412, -12825, -19238, -25651, -32064, -38477?\nAnswer: -44890","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/9, -0.1, -60, 32, 0.1 in descending order.\nAnswer: 32, 2\/9, 0.1, -0.1, -60","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 36, -2, -253 in ascending order.\nAnswer: -253, -2, 0, 36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 294\/(-4)*(26\/6 - 3). Let l = y - -94. Let f be (-3 - -2) + 7 + l. Solve 5*m + f = -8 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 4*f**2 - 5*f + 4. Let w be d(1). Let o(q) = 26*q**2 + 2*q - 2. What is the hundreds digit of o(w)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-15799)\/63 + 4\/(-18) - 4. Let q be (75\/h)\/((-1)\/2). What is the nearest to 0 in 0.4, q, -3\/2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 10 = -42. Suppose 36 = 3*b + 2*c - m, 4*b = -5*c + 68. What is the greatest common divisor of b and 60?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (810\/(-50))\/(7*(-33)\/(-770))?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = 8*x - 25. Calculate the smallest common multiple of x and 9.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (8\/(-10) + 1)*-1. Let l = -191\/77 + 18\/7. Let g = -106\/7 - -431\/28. Which is the smallest value? (a) q (b) g (c) l (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 b when three letters picked without replacement from bbbrbbbbbrrrbbbbbrb.\nAnswer: 364\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1 + 1.5. Let b = 1.33609 - 1.38609. What is the third smallest value in -3, 0, j, b?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = -3*z + 26 - 5, -n + 22 = 5*z. What is the third derivative of 2*y**2 - y**3 + 5 + 30*y**6 + 4*y**2 - z*y**2 + 13*y**6 wrt y?\nAnswer: 5160*y**3 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 25\/4 - 6. Which is the nearest to 1\/4? (a) o (b) 5 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 330 is divided by 108?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = 4 - 13. Let c(a) = 2*a**2 - 17*a - 6. Let j be c(9). Find the first derivative of h + 17*o**j - o**3 + 9 wrt o.\nAnswer: 48*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1134, 1474, 1968, 2556, 3178?\nAnswer: 3774","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p\/(p\/(p*p\/p**(-33))))\/p)\/p)\/p**26*p*p\/(p*p**(-3\/16))*p*p**22*p assuming p is positive.\nAnswer: p**(515\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 207247362 to the power of 1\/9, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -3248168 equal to -3248168?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5 + (sqrt(1700) - (0 + sqrt(1700) + 1)))*-1 + (sqrt(1700)*-2 + 5 - -4*sqrt(1700)*-1))**2.\nAnswer: -120*sqrt(17) + 61201","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19156.\nAnswer: 2, 4789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 66 - 21 = 0. Let g(s) = -s**2 + 13*s - 29. Let r be g(f). Solve -6 = 9*x - r*x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 - -3 - 35\/5\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -154, -4, 4, 2762.\nAnswer: -154, -4, 1, 4, 2762","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 679 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 15937176 and 7968588.\nAnswer: 15937176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the third derivative of p**6\/120 + 2*p**5\/15 + p**4\/24 + 4*p**3\/3 - 2*p**2. Let a be d(-8). Suppose -4*n + a = 8. Put n, -1, 3 in ascending order.\nAnswer: n, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 91 - 89. Suppose -v = v + x*a - 12, -a = 3*v - 10. Suppose f - 5 = -v*g, -2*g + 13 = 3*f + 2*g. Sort 4, -4, 2, f in decreasing order.\nAnswer: 4, f, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 5\/4 of a microgram?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 86534302?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Is 19909100839 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -2*b**3 - 503*b**2 - 228*b + 5278. What is i(-251)?\nAnswer: -495","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2958875?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -971 - 3*b**2 + 971.\nAnswer: -3*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5\/(40\/2)*244?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = u**2 - 399*u + 10. Let p be h(0). Sort -34, 1, 5, p in descending order.\nAnswer: p, 5, 1, -34","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7\/8 of a litre?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = 5*l - 4*v + 1, -2*l + v = -6. Let f(s) = 9*s**2 + 2*s - 3. Does 14 divide f(l)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 525\/(-70)*(-12)\/45.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 4*k + 8 = 0, -36 = -5*n + 2*n + 3*k. What is the derivative of 5*v**4 + 16*v**4 - n + 8*v**4 wrt v?\nAnswer: 116*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 38*n**2 + 5*n - 565. What is the remainder when f(15) is divided by 56?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = 8*a - 4. What is the units digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12a38 (base 11) to base 13.\nAnswer: -85a3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1130 and 9.\nAnswer: 10170","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 18*x - 15. Let j be w(14). Let a(g) = -2*g + 10. Let z be a(-5). Let b = j + z. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/107 (b) 1\/2 (c) 1\/4 (d) 3 (e) 14 (f) -8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 604 - 533. What is the highest common factor of l and 213?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12*t + 26*t**2 + 43*t - 28*t**2)*(2 - 2 + 4*t**2).\nAnswer: -8*t**4 + 124*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 95*f**2 + 582*f + 52. List the prime factors of u(17).\nAnswer: 3, 7, 13, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3271590 and 10530.\nAnswer: 42530670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 31*y**4 - y**3 - y**2 + 12*y + 1. Let g(k) = -k**4 + k**3 + k**2 - 1. Let i(t) = -2*a(t) - 2*g(t). Find the second derivative of i(h) wrt h.\nAnswer: -720*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 16*f**2 - 7*f + 12. Suppose 0 = -228*p + 174*p - 378. Let i(v) = -5*v**2 + 2*v - 4. Give p*i(s) - 2*c(s).\nAnswer: 3*s**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 379 a factor of 91718?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4*(-2)\/(-2))\/((-34)\/170*110)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -200496, -400858, -601220, -801582?\nAnswer: -1001944","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 451260701 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in -1\/7, -346\/3, -0.087, -0.1?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 11014330 - 103?\nAnswer: 11014222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = 18 + 3. Let l = -115 + 123. Suppose -x*j + l*j - 16 = 0. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = k - 3. Let u be h(0). Let c = -3 - u. Let s be ((-9700)\/(-6) - c)*600. Round s to the nearest 100000.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - 2 - (-2 + 14 + -6)) + 2\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -325906 = -2*w + 32340. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 396239 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.5 - -1.5. Put 0.5, -8, w in increasing order.\nAnswer: -8, 0.5, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 + -4)*(-28)\/(-14)*-1?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -410 (base 8) to base 16.\nAnswer: -108","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the second derivative of -p**5\/20 + 13*p**4\/12 - p**3\/3 + 5*p**2\/2 + 6*p. What are the prime factors of h(4)?\nAnswer: 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -5*v**3 + 9*v + 6. Let h(l) = 9*l**3 - 17*l - 11. Let k(j) = 4*j - 48. Let p be k(-6). Let w be ((-2)\/(-8))\/((-4 - -1)\/p). Give w*h(d) + 11*g(d).\nAnswer: -d**3 - 3*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -8 - -12. Let r be (-10)\/((-1)\/2*x). Suppose r + 1 = 3*d. What is the units digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -b**2 - 21*b - 1. Let f be r(-17). Let z(k) = f*k**2 + 65*k**2 - 129*k**2. Let d(g) = -2*g**2. Give d(z(c)).\nAnswer: -18*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -2.3 and -14.1176209581?\nAnswer: 11.8176209581","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = j - 0*u + 4, -4*j - 2*u = -24. Suppose j*x - 3*x - 10 = 0. Solve 6 = -3*s + 3, 4*s = x*q + 2 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o**2 + o. Let p(m) = -2*m**2 - m. Suppose w = 2, 0 = -87*i + 91*i - 4*w + 12. What is i*p(t) - 4*r(t)?\nAnswer: -2*t**2 - 3*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (5 - 7 + s - 3*s)*((0 + 1 + 1)*(-s + 3*s + 0*s) + 1943 - 1943 - 84*s) as j*s**2 + n*s + c and give n.\nAnswer: 160","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -744*c**4 - 428*c.\nAnswer: -8928*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 39150045 is divided by 238?\nAnswer: 235","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = h**3 + 16*h**2 + 12*h + 11. Let c be p(-11). Let q be (-1)\/((4\/(-226))\/2). Suppose y = -q + c. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 354336166 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1791)\/597*(-4)\/(-3).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5416\/21 - -258. Which is the third smallest value? (a) 5 (b) 1.1 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 467 a factor of 2562386036?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3095, 6393, 9695, 13001?\nAnswer: 16311","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -115*o - 805*o - 370*o + 40905 = 225*o for o.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((15 - 7) + -55 - (7 - -9 - 8)) + -8.\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -76302 - 640?\nAnswer: -76942","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 843307079\/3 >= 281102360?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -2*i**2 - 8*i - 5. Let h be z(-9). Let n be 24\/(-42) + h\/(-105). Factor 0 - 2\/3*u**3 - 1\/3*u**2 + n*u.\nAnswer: -u*(u + 1)*(2*u - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the second derivative of -55*c**7\/42 - c**3\/3 - c**2\/2 - 25*c. Find the second derivative of f(p) wrt p.\nAnswer: -1100*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-50*i**2 + 61*i**2 + 2*i - i + 2)*(-3*i + 2*i + 4*i)*(3 - 2 + 1).\nAnswer: 66*i**3 + 6*i**2 + 12*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that -5*h**2\/8 - 3*h\/8 = 0.\nAnswer: -3\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14 + (-7 - ((17 - 27) + 15))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1569 - 48201.65\nAnswer: -49770.65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 3*i + 1. Let p be o(5). Let q be (-1)\/3 - p\/(-3). Suppose -y + 6 = 2*r, 2*y + 3 = q*r + 6. What is the units digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 42\/(-136) + 2\/8. Which is bigger: h or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 149178907 is divided by 17.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 186209734 and 4430?\nAnswer: 886","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + f = 5*f, -5 = f. Suppose -2*c + 36 = 2*n - 0*c, -c = 2*n - 34. Suppose k*a = -4 - n. Sort -4, a, 0 in ascending order.\nAnswer: a, -4, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2646687?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 19381979?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0\/11 + 1 + 2. Suppose 6*k - k = 115. Solve -j = -4*t - k for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -5*g**2 - 6*g - 6. Let v(s) = s**2 + s + 1. Let b(r) = -d(r) - 6*v(r). Let i(m) = -16*m**2. What is b(i(o))?\nAnswer: -256*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 21059 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = -s - 5, 3*t - 52 = -4*s - 21. Solve 45 = -4*p - 5*c, -4*p + 2*c - s = -0*c for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -57 + (-22 - (0 - -2 - (-35 + 47))).\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 7*o**2 + 22*o + 1. Let y(g) = g**2 + g + 6. What is f(p) - 2*y(p)?\nAnswer: 5*p**2 + 20*p - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 1014*f**3 - 104*f**2 + 104*f + 104. Suppose 41*n = -88 - 35. Let d(p) = -29*p**3 + 3*p**2 - 3*p - 3. Give n*c(k) - 104*d(k).\nAnswer: -26*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2 - -8. Let m = 28\/5 - q. Suppose 5 = -3*u + 11. What is the third biggest value in m, u, -4\/5?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a**13*a)\/a)\/a**(-2\/13)*a**(6\/13)\/((a*a*a**(2\/11))\/a) assuming a is positive.\nAnswer: a**(1921\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that 7*y**3\/4 - 774*y**2 + 3971*y\/4 - 441\/2 = 0.\nAnswer: 2\/7, 1, 441","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -367\/4 + 93. Is o smaller than -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1441*w - 817*w - 3914 = -301*w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 298087?\nAnswer: 298087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*y**2 + 9*y + 30.\nAnswer: -3*(y - 5)*(y + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (10 + -10)\/(2 - 1). Let a = 38 - v. List the prime factors of a.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2.8 in 1\/7, 5, 5\/2, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -8\/183 and -61\/92898?\nAnswer: 5666778","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 11179958794.00000306 + -11179958903. Let r = -109 - g. Round r to 7 dps.\nAnswer: -0.0000031","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 69216453 is divided by 377?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j**3 - j**2 - j - 20. Let x(w) = 2*w - 6. Let p be x(3). Let r be q(p). Let d = r + 59\/3. Which is the biggest value? (a) -2 (b) d (c) -0.04\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 908160?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1 + -2. Let y be -2*(3 + 1)\/(-4). Let f = y - s. What is the units digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -663323100 rounded to the nearest 100000?\nAnswer: -663300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -175*h**3*k**2*x + 861*h**3*x**2 + h**2*k*x**2 - 6*h**2*k - 3*h*k**2*x + 2*h*k*x + 12*k**2*x**2 - 2*k*x wrt h?\nAnswer: -1050*k**2*x + 5166*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jepjeejrjjrdjjddhed. Give prob of sequence pd.\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -13*b + 3. Let u be v(-1). Let g = 12 - u. Is (22\/g)\/((21\/(-246))\/7) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 - 2)*(-v - v - v + (1 + 0 - 2)*(2*v - 5 + 5)).\nAnswer: 5*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(1\/2)*k)**30\/((k*k**(4\/9)\/k)\/(k\/(k*k\/k**(-2\/5)))) assuming k is positive.\nAnswer: k**(1942\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2a + -4541?\nAnswer: -4570","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -62849943 divided by 20943?\nAnswer: -3001","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 1112, -1, 2, 1, 0 in decreasing order.\nAnswer: 1112, 2, 1, 0, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -64, 2, -120, 3, -1, 43 in decreasing order.\nAnswer: 43, 3, 2, -1, -5, -64, -120","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 x when two letters picked without replacement from {q: 1, w: 2, r: 2, x: 1, m: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 358634 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 18517967?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 747?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -1, 2120, 24.\nAnswer: -1, 3, 24, 2120","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = c**3 - 10*c**2 + 12*c + 3. What are the prime factors of x(9)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 503.0645 + -213.1384. Let k = h + -289.8. Let n = k + -0.1812. What is n rounded to 2 dps?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2372.\nAnswer: 2, 593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1 + 0.9. Suppose -112 + 2 = 22*a. Put a, p, 3 in descending order.\nAnswer: 3, p, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 5\/485311462 and -35\/889256?\nAnswer: 1941245848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 38\/1064*-21*(-8)\/(-51).\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1 * 75.915455\nAnswer: -75.915455","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -y**2 - 4*y - 4. Suppose 56 = 2*w - 4*v + 234, 3*w - v + 262 = 0. Let d = w + 83. What is f(d)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 475, 1534, 3135, 5278?\n\"Answer: 271*l**2 + 246*l - 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + ((sqrt(63))**2 - sqrt(7)))*4 + sqrt(49)\/(sqrt(56)\/(1*sqrt(8))).\nAnswer: -3*sqrt(7) + 236","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-216)\/((-540)\/(-15)))\/(-57).\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = h**2 - h - 1. Let i(t) = 5*t**2 - 15*t - 7. Determine i(n) - 6*m(n).\nAnswer: -n**2 - 9*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 24 (base 9) in base 6?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 2, n: 2, g: 3, v: 1, m: 4, y: 6}. Give prob of picking 1 v and 1 u.\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -627733, -2510919, -5649563, -10043665, -15693225?\n\"Answer: -627729*k**2 + k - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.527542315 rounded to 1 decimal place?\nAnswer: -1.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -27825208 rounded to the nearest one million?\nAnswer: -28000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -75, 264, -2, -18.\nAnswer: -75, -18, -2, 264","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + (0 + 6 - 13)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00527486688 to seven dps.\nAnswer: -0.0052749","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cctz when four letters picked without replacement from {t: 10, c: 1, z: 7}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 7609.529mm?\nAnswer: 0.007609529","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - (33 + -34)) + -31.\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 29 + -15. Suppose 5*v - v - 12 = 0. Suppose 0 = -v*a + 6*a - 120. Calculate the remainder when a is divided by w.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 110 = -4*u - u. Let x be (u - 11)*(-4)\/6. Suppose 5*s + 1 = 3*w + 10, 2*w - 1 = s. Calculate the greatest common factor of x and w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5e1e661 + 2?\nAnswer: -5e1e65e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 110*l + 83464 = 59*l + 55*l. What are the prime factors of l?\nAnswer: 2, 10433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 3*m - 1. Let l = -77 + 71. Calculate r(l).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1959 - -3447. Suppose 3*h = 3*b + j, 0 = -2*h + 7*h + 2*b - 2445. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 30 + 6. Suppose -3*j = 5*k + 2, 5*k - 5*j = -3*j + 18. What is the remainder when s is divided by -5 - -17 - -4*(-1)\/k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 30 + -23. What is the greatest common divisor of 21 and f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35\/(-20)*70\/147?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - w = 94, m + 5*w + 107 = 5*m. Let d(q) = -2*q**3 - 2*q - 3. Calculate the remainder when m is divided by d(-2).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 102732*l**3 - 3*l + 3*l - 102742*l**3.\nAnswer: -10*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:28 AM and 8:50 PM?\nAnswer: 682","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) be the first derivative of 3*y - 19\/12*y**2 + 1\/18*y**3 + 76. Find z, given that o(z) = 0.\nAnswer: 1, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 smaller than 0.9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*a - 76 + 76.\nAnswer: 8*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 7 - 1 = 0. Suppose 2*a - 5*a - i = -5, -2*a + n*i + 8 = 0. What is the tens digit of (a\/2)\/((-2)\/(-102))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 - 5755*y**3 + 7 + 5744*y**3 - 13.\nAnswer: -11*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 15510676127 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 10*c**4 - 64*c**3 + 20*c**2 + 38*c - 14. Let a(g) = 2*g**4 - 13*g**3 + 4*g**2 + 7*g - 3. Let f(d) = 28*a(d) - 6*o(d). Factor f(t).\nAnswer: -4*t*(t - 4)*(t - 2)*(t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 9? (a) -5 (b) 1\/74 (c) 0.14 (d) 2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*q**3 + 2730*q**2 + 6649*q wrt q.\nAnswer: 18*q + 5460","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5948 + 5.\nAnswer: -5943","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 65962820?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = -2*q + 124, 2*q + 42 = d - 2*q. Suppose 0 = 61*u - d*u - 45. Solve -2*z - 3*n - u = 0, -5*n = 3*z + 36 - 12 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -637 at most -612?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 14115 + -3886. What is the thousands digit of w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 914021?\nAnswer: 914021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -x**2 - 7*x - 10. Let d be t(-4). Let n = d - 2. Solve n = -4*g + g + 9 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = k**2 - 4*k + 20. Let l be c(4). Solve l = 6*d - d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 284 + -283. Which is greater: -3\/130 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (5\/(-2))\/((-1)\/(-4)). Let p be -6*(o\/(-4))\/5. Let r be -3*((-8)\/p + -2). Let h(k) = -k**3 - 2*k**2 + 2*k + 1. What is h(r)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 5681335 from -1.\nAnswer: -5681336","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in thirty-three fifths of a century?\nAnswer: 66","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 20*v - 2. Let w(r) = -57*r + 6. Let u(k) = 17*f(k) + 6*w(k). Calculate u(10).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = s**2 + 4*s + 5. Let k be b(-4). Let c = -8 - -2. Let m be ((-15)\/10)\/(3\/c). Solve 10 = -m*j - h - h, j = h - k for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 64 and 288?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -g**2 + 7*g - 6. Let f be l(6). Suppose -y = -f*y + 54. Is 12 a factor of (y + 0)*(-10)\/15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*j**4\/5 - 22186*j**3\/5 + 78556914*j**2\/5 - 18009100126*j + 17993393180 = 0. Calculate j.\nAnswer: 1, 2935, 5222","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + sqrt(22)\/sqrt(2)*-1.\nAnswer: -sqrt(11) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0\/(-3) + (-96)\/28 + 4?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 43.935 and 2.16?\nAnswer: 94.8996","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 53 a factor of 148665?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -608 by 19.\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = n**3 + 12*n**2 - 21*n - 66. Determine h(-14).\nAnswer: -164","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 872064?\nAnswer: 2, 3, 757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 4*z. Let g = 2 + 0. Let d be 1*g\/(-3)*-3. Let h(f) = -8 + 8 + d*f**2. Determine h(s(b)).\nAnswer: 32*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13780423 is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (28\/(-32))\/(819\/(-156))?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -572\/3765 <= -2\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = n**2. Let g(b) = 6*b - 9. Let q(x) = -3 - 3*x + 8 + 0. Let c(w) = -5*g(w) - 9*q(w). Calculate c(k(z)).\nAnswer: -3*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2773909 to the nearest integer?\nAnswer: 141","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 13 - 13 + v**2. Let a(w) = w + 2*w - 3*w - w. What is j(a(m))?\nAnswer: m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2*d**3 - 2*d**3 + d**3)*(-1 - 1 + 4) - 2*d**3 - 3*d**3 - 2*d**3)*(-6 + 6 + 4*d**2).\nAnswer: -20*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -1. Let o(i) = -22*i - 1. Determine -o(w) + 2*v(w).\nAnswer: 22*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 99681.1 centuries?\nAnswer: 119617320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 161\/65 + -12\/5. Let n(d) = 4*d**2 - 1. Let p be n(1). What is the closest to -1\/2 in p, 1\/2, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 19264, 19266, 19270, 19276, 19284, 19294?\n\"Answer: m**2 - m + 19264","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 708 minutes before 5:35 AM?\nAnswer: 5:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -17 - -21. Let l = f - -20. 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: Let s(z) = z**3 + 5*z**2 - 7*z - 2. Let n = 254 - 260. Determine s(n).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1.8 - -2. What is the smallest value in i, -2, -2\/7?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 57540 a multiple of 274?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 57122 - 57260 = -23*m for m.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 680289.54 days to weeks.\nAnswer: 97184.22","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -5*c + 2. Calculate o(1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2488096 and 26.\nAnswer: 2488096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 20*g - 1073. Let a(t) = 44*t - 2145. Give -4*a(c) + 9*k(c).\nAnswer: 4*c - 1077","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 162 = -6*q - 66. Let c = q + 64. Calculate the remainder when c is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 53*c + 1114*c + 414*c - 126480 = 0 for c.\nAnswer: 80","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*m + 53*m - 3*m**3 + 2*m**3.\nAnswer: -m**3 + 51*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2060 + j + 2060.\nAnswer: j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34 = -4*p - 4*j + 22, -4*p + 2*j = 28. Let r = 100.041 + -100. Which is smaller: p or r?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*j = 6 - 114. Solve 0 = -4*g - f + 20, -2*g = -7*g + j*f + 25 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 242\/8 + 2\/(-24)*3. Calculate the highest common divisor of f and 240.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -13 and -568741?\nAnswer: 568728","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1 - -6. Suppose c*f - 75 = -0*f. Solve 2*n = -n + f for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -452 - -451. Sort 4, 1, a, 2 in ascending order.\nAnswer: a, 1, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 15 + -6. Let z = -8.101 - 0.099. Let x = z + j. Which is the smallest value? (a) -2 (b) 3 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 2*k**2 + 19*k + 67. Let d be z(-16). Calculate the highest common factor of 25 and d.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -32, 3, 1456, 2\/9?\nAnswer: 1456","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 172?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:36 PM and 11:04 PM?\nAnswer: 568","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -236, -473, -710?\nAnswer: -947","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -2143.531977 rounded to the nearest 100?\nAnswer: -2100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -10*u + 53. Determine j(5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 28544 a multiple of 223?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = a + 6. Let z be t(-17). Let q(w) = 9*w - 26 + 16 + 11 + 8 + 5 + w**2. Determine q(z).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*d**3 - 4*d**3 + 6*d**3)*(0*d + 3*d - d)*(20*d + 16*d + 14*d).\nAnswer: -200*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = -3*c + 2350 + 5015, 0 = c + 2*h - 2451. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*w - 4890 = -19*w. Suppose y - 985 = -2*l + w, 0 = 3*y + 3*l - 5904. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 3*j - 2. Suppose -w + 28 = f, 7 = f + j*w - 29. Calculate the highest common divisor of 36 and f.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -54 - -52?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 + 34 - 3 + 5 - 34 + 593*w**2 to the form a*w + p*w**2 + g and give p.\nAnswer: 593","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 0*m = 120. Suppose 0*p - m = -3*p. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y and 1 b when three letters picked without replacement from aybybbbyya.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1494080 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 1, d: 4, s: 3, n: 2, h: 2, v: 2}. What is prob of sequence hvs?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -292566744 divided by -3084.\nAnswer: 94866","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*z**3\/15 - 1852*z**2 + 101786*z\/5 - 55516\/3 = 0. What is z?\nAnswer: 1, 10, 13879","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -40*s + 42*s + 3*i - 9, 4*s + 27 = 3*i for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 28 = -4*f, 3*n - 2*f = 2*f + 40. Let w = n + -8. Suppose -j + 5*j = -5*m + 18, -5*j + m = -8. Calculate the remainder when w is divided by j.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ouhopziu. Give prob of picking 1 o and 1 h.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Are -54960 and -54962 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 318 = -3*q, -2*r - 431 = -4*q + r. List the prime factors of q\/(-2)*(5 - 6)*1.\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 9 and 25646013?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -11\/1828080 and -1\/18.\nAnswer: 1828080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 12*s = 9*s - 165, -4*n - 2*s + 132 = 0. Which is the second smallest value? (a) 0.1 (b) 3 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -25*x + 4. Let p(j) = -12*j + 2. Let y = 628 - 623. Calculate y*p(v) - 2*w(v).\nAnswer: -10*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*s = -675 + 27. Solve 4*g - s - 2 = 0 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 229.126909 to one decimal place.\nAnswer: 229.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 + 4 - 3)*(-51*k - 21*k + 36*k) + k - 18*k + k)*(3 - 2 + 0).\nAnswer: -88*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*-1 - (-6252)\/521?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29776.\nAnswer: 2, 1861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 24089202?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*a + 4*a = -18. Let x(l) be the second derivative of l**6\/720 - l**5\/20 - 2*l**4\/3 - 2*l. Let z(j) be the third derivative of x(j). Calculate z(a).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence smmg when four letters picked without replacement from ymydmmgjgssm?\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7733662\/11 or 703061?\nAnswer: 7733662\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 200980840 to the nearest 1000000.\nAnswer: 201000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 121 (base 3) to base 5.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*r - 507 = -12. Suppose 0 = -10*g + r + 885. What is the units digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 - 55 - 72 + 0*r - 41 + r.\nAnswer: r - 163","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1368763845 to the nearest integer?\nAnswer: 1110","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 735 (base 12) to base 10\nAnswer: 1049","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence py when two letters picked without replacement from yyyyyyyyyyyypyyyyy.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = x**3 - 12*x**2 + 16*x - 15. Suppose 3*g + q - 2*q = 33, 0 = -4*q + 12. What is the hundreds digit of o(g)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3 - -3. Suppose -a - w*a = 490. Is 5\/(-2)*a\/5 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**8\/z)**(-7)\/((z*z**(2\/51))\/z*z*z\/z**16) assuming z is positive.\nAnswer: z**(-1787\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 208 is divided by 30?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -151\/41672100 and -73\/37400.\nAnswer: 916786200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -56 + 109. Suppose 0 = -9*d + 17 - y. Put d, -3, 4 in decreasing order.\nAnswer: 4, -3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1\/2 - 3\/6. Let q(w) be the third derivative of 0*w**3 + 1\/20*w**5 + x*w**4 + w**2 + 0*w + 0. Let l(r) = r**2. What is q(l(d))?\nAnswer: 3*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-2\/25)*c*(c*c\/(c**(-2\/33)\/c)*c*c)\/c*(c*c**(-3\/4)*c*c*c)**(-39))**(-3\/10) assuming c is positive.\nAnswer: c**(401839\/11000)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2285 + 7499\/4. Let k = g + 410. What is the smallest value in -3, -0.4, 20, k?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1501285, 3002575, 4503865, 6005155, 7506445, 9007735?\nAnswer: 10509025","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -199 - -202. Factor 9*v**4 - 4 + v**2 + 3*v**r - 3*v - 8*v**4 + 2.\nAnswer: (v - 1)*(v + 1)**2*(v + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 105151?\nAnswer: 71, 1481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.613 - -0.513. Which is the biggest value? (a) -1\/9 (b) -0.4 (c) -6\/11 (d) u\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19333*o**3 + 0*o**2 + 19346*o**3 + 0*o**2 - 38727*o**3.\nAnswer: -48*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -781*k - 13*k**3 - 2*k**2 + 393*k - 1 - 2*k**4 + 389*k as g + s*k**3 + d*k**4 + j*k**2 + i*k and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -17 - 107ccd?\nAnswer: -107ce5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.05224417 rounded to four decimal places?\nAnswer: -0.0522","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*t**3 + 14*t**2 + 140*t + 208.\nAnswer: -2*(t - 13)*(t + 2)*(t + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2426*p + 7004 = -2409*p. What is the remainder when p is divided by 39?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -409.6 to the nearest one hundred.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*m + 3*u + u - 14, 3*m = -4*u + 9 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 160*i - 156*i - 288 = 0. Calculate the lowest common multiple of 48 and i.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.217 and -3.\nAnswer: 0.651","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -198955, -199001, -199073, -199183, -199343, -199565, -199861?\n\"Answer: -2*h**3 - h**2 - 29*h - 198923","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 37432 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 3294?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 3096 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.54169395 rounded to four dps?\nAnswer: 1.5417","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -1 (b) 104 (c) -26\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 57665756?\nAnswer: 2, 14416439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2697126594.\nAnswer: 2, 3, 449521099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 19*d + 22*d + 21 = 0, 2*d = -5*n + 14. List the prime factors of 1\/n + (-219)\/36*-165.\nAnswer: 2, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 5 = 0, 4*a + a + 3*y = 3220. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -3*k**3 + 4*k**2 - 294*k - 16. Let u(h) = -6*h**3 + 7*h**2 - 589*h - 28. What is -7*i(q) + 4*u(q)?\nAnswer: -3*q**3 - 298*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (13\/8)\/(-70*39\/(-43680))\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 25*z**3 + 37 - 2*z**2 + 18*z**3 - 45*z**3 to the form o*z**2 + g*z**3 + x*z + c and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -74 by -19429.\nAnswer: 74\/19429","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -2*w**3 - 8*w - 8. Let b(j) = -j - 4. Let y(l) = l + 5. Suppose 5*s - s = 4*c, -3*s = -c + 6. Let p(g) = c*y(g) - 4*b(g). What is -24*p(k) - 3*z(k)?\nAnswer: 6*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1260\/17 (b) 5 (c) 13.9 (d) -2.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x - 3*s - 11 = 0, x + 3*s + 3 = s for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 32, -14, -1, 3 in decreasing order.\nAnswer: 32, 3, -1, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 17157\/5 - 3451. Let v = l + 562\/45. What is the common denominator of 57\/4 and v?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*c**3 - c**3 - 2*c**3 + 2*c**3.\nAnswer: -c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the third derivative of y**8\/24 + 9*y**7\/35 + 47*y**6\/70 + 101*y**5\/105 + 23*y**4\/28 + 3*y**3\/7 - 30*y**2. Factor p(x).\nAnswer: 2*(x + 1)**3*(7*x + 3)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = q**3 + 10*q**2 + 8. Let k be g(-10). Suppose 0 = -k*f + 4*f. Solve 2*m - 3*w = 0, 3*m + 5*w + f*w + 19 = 0 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23994545.7 rounded to the nearest ten thousand?\nAnswer: 23990000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -o + 8. Suppose -o = -3*t + f, 5*t + 3*f - f - 20 = 0. What is the units digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = r**3 + 11*r**2 - 7*r + 65. Let q be b(-12). Solve -3*f + 4 = -j - q, j + f - 3 = 0 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 939859233 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Add -68 and -652.\nAnswer: -720","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -56 (b) 1\/5 (c) -5\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 31 and 2263?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/((-9)\/(-28)))\/(20\/30)*237\/(-42).\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3\/9*(11 - 5). Suppose -3*j - 5*l = -9186, 0 = -10*j + 6*j + p*l + 12248. Let z = j + -1399. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.03? (a) 1 (b) 1\/2 (c) 0.3 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21020 (base 3) to base 10.\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3 and 0.037?\nAnswer: -0.111","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k and 1 w when three letters picked without replacement from kkwkkkkkkkkkkkwkkkk?\nAnswer: 16\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -14878*d**3*o**3 - 16444*d**3 + 2*d**2 - 142*d*o**4 - 4*d - 1 wrt o.\nAnswer: -44634*d**3*o**2 - 568*d*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*q - 161 = -77 + 224. Let y = 6 + -4. Let f(i) = 4*i**3 - 2*i**2 + i - 1. Calculate the remainder when f(y) is divided by q.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -1473, 4 in decreasing order.\nAnswer: 4, -4, -1473","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 3*x = -14. Suppose 0 = 5*g - 28 - x. Solve -5*v + g - 27 = 0 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -57, -58, -59, -60?\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Add 10135750.845814 and 1.\nAnswer: 10135751.845814","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -100*u**2 + 127*u - 127*u.\nAnswer: -100*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = 5*a - 7*a + 12, -a - z = 2. Let f be (-8 - -1)*(-18)\/21*a. Calculate the greatest common divisor of f and 28.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 522.1 + -549.61. Let n = 27 + h. Let q = -0.01 - n. What is the second biggest value in q, 2\/3, 1\/4?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 105 = -3*v + 389, -c = 2. Solve 166 - v = 5*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*n**5 + 34*n**4 + 286*n wrt n?\nAnswer: -40*n**3 + 408*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 47 divide 148747?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 490 is divided by 30?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 6, m: 2, w: 6, o: 4}. What is prob of picking 2 o and 1 a?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = q. Let u(b) = -b**3 - b**2 + 5*b + 5. Let h be u(-2). Let o be -3*(h + 4 - 5). Let y(c) = 4*c**2 + 3*c**2 - 5*c**2 + o*c**2. Determine s(y(f)).\nAnswer: 8*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12*z - 4*z**2 + z**2 - 19*z**2 to the form j + f*z**2 + b*z and give b.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24 = 33*b + 9 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 88 and 2101?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30387551 is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -102221 - -1123323?\nAnswer: 1021102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 459 is divided by -14 + (-13330)\/(-110) + (-1 - (-9)\/11).\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -5, -1\/4, 29?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -23799557860 plus -4.92?\nAnswer: -23799557864.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1276, -2581, -3886, -5191?\nAnswer: -6496","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7862 + -7862.04361. Round w to 3 dps.\nAnswer: -0.044","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1291594, -1291560, -1291498, -1291402, -1291266, -1291084, -1290850?\nAnswer: -1290558","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**25*n)\/n)**(-2\/39) assuming n is positive.\nAnswer: n**(-50\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + (8 - 0) + 1.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/(h*h**(1\/4)*h))**(1\/12)\/(h*h*h**(1\/2))**(-33))**(2\/9) assuming h is positive.\nAnswer: h**(3955\/216)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 699 + -2?\nAnswer: 697","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = n**3 - 11*n**2 - 11*n - 42. List the prime factors of y(13).\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-6)\/(-9))\/(4\/78). Suppose -18*z + f*z + 25 = 0. Solve -4*v + 3 = -z for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = -v - 22, -3*f - 3*v + 11 = -v. Let m(x) = 2*x**2 - x + 11. What is the units digit of m(f)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((3 + -7)\/(-4))\/(3\/18). Solve -2*p + l = 0, -5*g - 2*p = -0*g + 14 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 1 + 2 + (0 + 4 - 2)*(0 - 3 + 5))*(-21 + 21 + 5*r**2)*(-r + 0*r + 0*r - r + 2*r - 3*r + (r - 5*r + 3*r)*(2 + 0 + 0) - 5 + 2*r + 5 + r + 0*r - 9*r).\nAnswer: -110*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -2*v**2 - v. Let g(y) = 3*y**2 + 19*y - 6. Let z(f) = 2*d(f) + g(f). Is 12 a factor of z(15)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 2, m: 3, t: 4, l: 2}. What is prob of picking 2 t, 1 m, and 1 c?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(4 + 5*sqrt(20)\/sqrt(4)).\nAnswer: 20 + 25*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.05 (b) 74 (c) 0 (d) -0.2 (e) -109\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8718 is divided by 218?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(110)*-2*6 - sqrt(110))\/(-5*sqrt(90)).\nAnswer: 13*sqrt(11)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -877800 divided by 1155.\nAnswer: -760","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m\/(m\/(m**(4\/9)*m)*m)*m*m**(2\/15)*m assuming m is positive.\nAnswer: m**(116\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -l**3 + 6*l**2 + l - 3. Let j be i(3). Let z(s) = 10*s + 9*s + 7 - 31*s - j*s. What is the hundreds digit of z(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(180)*4)\/sqrt(4).\nAnswer: 12*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 times -0.4666204?\nAnswer: -2.333102","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 8606361, 8606364, 8606367, 8606370, 8606373, 8606376?\n\"Answer: 3*d + 8606358","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-130)\/78)\/(210\/108))\/((-4)\/84)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (315\/(-6))\/(-15)*4\/(-7).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 336 a factor of 298284797?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -742*p - 2699. Let d(f) = 250*f + 900. Let g(v) = -3*c(v) - 10*d(v). Find the first derivative of g(u) wrt u.\nAnswer: -274","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1194 + 2083 - c - 383 - c + 3*c)*(0*c**2 - 4*c**2 - 4*c**2) to z*c + j + i*c**2 + y*c**3 and give i.\nAnswer: -23152","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 5*q**2 - 37*q + 8. Let u(z) = 6*z**2 - 44*z + 7. Let f(g) = 7*n(g) - 6*u(g). Determine f(7).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 44451 (base 6) in base 16?\nAnswer: 184f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-14)\/((-882)\/(-27)))\/((-12)\/21)\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the first derivative of i**7\/105 - 23*i**6\/60 + 257*i**2\/2 - 192. Let j(c) be the second derivative of q(c). Suppose j(b) = 0. What is b?\nAnswer: 0, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in twenty-six fifths of a century?\nAnswer: 6240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n = q + 9 + 4, 3*n - 8 = -4*q for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = c**3 - 11*c**2 + 21*c + 10. Let p be b(10). Calculate the highest common divisor of p and 90.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) be the third derivative of -t**4\/24 - t**3\/6 + t**2. Let k be x(-5). Suppose 3*q = -0*q - 6, 2*j - 10 = k*q. What is the units digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-84))\/(1*2\/(-8))?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -c**2 - 13*c - 8. Give i(-6).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-1 - -1076) + 5*(5 + -6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by -182?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 18, 19, 109 in descending order.\nAnswer: 109, 19, 18, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y\/y**(-4)*y**(-1\/3))\/(y\/(y*(y*y*y*y**(1\/4)*y)\/y*y)*y\/(y*y**(4\/3)*y)) assuming y is positive.\nAnswer: y**(49\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -8 - -4. Let l(x) = 2*x**3 + 3*x**2 - x + 4. Let d be l(-4). Let s be (-22)\/(-88) + (-14)\/d. Which is the second smallest value? (a) y (b) s (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = y**3 - 19*y**2 + 24*y + 48. Let a be 113\/6 + (-1)\/(-6). Does 72 divide q(a)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 35\/27864 and 49\/288.\nAnswer: 111456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 17, 5, 0, -0.4, 1\/5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 3, a: 8}. Give prob of picking 2 a.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the third derivative of b**6\/720 + b**5\/10 - 115*b**4\/144 + 13*b**3\/6 + 1889*b**2. Factor u(a).\nAnswer: (a - 2)*(a - 1)*(a + 39)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37279 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -130*c - 124. Give u(-1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 18169 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 172532114.\nAnswer: 2, 3761, 22937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.21 - -1.79. Let g be (0 - 5) + (-62220)\/(-228). Let a = 268 - g. Sort -2, a, -0.3, y in decreasing order.\nAnswer: y, a, -0.3, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (((-6*sqrt(143)*2 - sqrt(143)) + -1*-1*sqrt(143))\/((sqrt(176)\/(sqrt(8) + sqrt(16)\/sqrt(2)))\/sqrt(2)))**2.\nAnswer: 7485","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 5*r = -0*t - 15, t + 9 = 3*r. What is the remainder when 38 is divided by t + -1 + (0 + 5 - -16)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14\/(-18)*50\/(-175)\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 318 is divided by 68.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 129.08ng to micrograms.\nAnswer: 0.12908","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -203 = -x + s, 0*x + 5*s + 601 = 3*x. Let g = x - -380. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*g + 13*g = 0 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3)\/(1 - (-4)\/56) - 6. What is the nearest to -4 in 2, -1\/2, w, 1?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 9607*c - 9580*c - 1107 = 0. Solve 16*n = c*n + 175 for n.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 64038?\nAnswer: 2, 3, 13, 821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 - 3 = -2*o + 2*l, l = -o + 3. Let b be 5*(-3 - 32\/(-5)). Suppose 7 = -4*g - b. Put g, o, 1 in descending order.\nAnswer: o, 1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -19901*l + 3144368. Calculate m(158).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2\/15*d + 2\/15 - 2\/15*d**2 - 2\/15*d**3 = 0. What is d?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s**(-5)*s)**(-2\/7))**(2\/19) assuming s is positive.\nAnswer: s**(12\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - 4*o = -22, -3*w + 6*w = 4*o - 6. Suppose -3*h + 7 = w*u - 0, -15 = -4*h + 3*u. Solve h*c - 6 = -3 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 2, f: 1, k: 4}. Give prob of sequence xfk.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**0)**41\/(((r*r**0*r)\/r)\/r*r**0)*((r**(-1\/4))**(-7\/4))**(1\/59) assuming r is positive.\nAnswer: r**(7\/944)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 27623138?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2, -7, -16, -25, -34, -43?\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*q + 5*q + 4*q**3 - 3*q - q**3 to the form w*q + n + p*q**3 + z*q**2 and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhfvzmv. What is prob of sequence hz?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = -4*m + 476, -u + 3*u = -8. Let o be 1 + 15 + (-1)\/1. What is the highest common divisor of m and o?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 27 - 21. Let h = -5.99905 + o. Round h to four dps.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -27 + 5*b**2 + 52 + 18*b + 0*b. Is f(-8) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1782 - -8713. Does 175 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10395 a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s = 49, 5*s - 9 - 6 = -k + 6*s + 36 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10 (base 3) to base 14.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -10 + 22. Let s = 5 - 9. List the prime factors of 183\/a - (-1)\/s.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -802551 + 54108 = -69*c. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 169250344?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 184 is divided by 18?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.3221182 to two dps.\nAnswer: -0.32","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = 2*w + 44, 9 - 67 = 2*w - 3*k. Let f(r) = -6*r - 20. Let l(i) = i + 1. Let q(a) = 4*f(a) + 12*l(a). What is the tens digit of q(w)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -8 + 11. Let v = 3 + -1. Let u(q) = 1 + 35*q - 33*q - q**v - 5. Give u(p).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) be the first derivative of z**3 - 2. Let v(s) = -4*s**2. Calculate a(v(g)).\nAnswer: 48*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + (3 - 2) + (173 - 150).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6399*g + 21351*g + 125*g to the form q*g + f and give q.\nAnswer: 27875","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 bigger than 6\/62177?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = a**2 - 1153942*a - 1153941. Calculate s(-1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 7107.265 + 0.35.\nAnswer: 7107.615","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k + k = -4*i + 13, 3*k - 2*i = 53. What is the remainder when 31 is divided by k?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a and 1 k when three letters picked without replacement from aarraggrrrkg?\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 56 and -5?\nAnswer: -280","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = -0 - 2. Suppose 0 = -f + 2*l + d, -4*f - 2*l = -3*f - 1. Suppose t = 2 + f. Sort t, -5, 4 in ascending order.\nAnswer: -5, t, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 99447\/13 + -7654. What is the common denominator of 4230\/1320 + 1\/4 and k?\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 15 = 0, 5*h = -r + 4*r - 4. Let z be 13\/39 - (h - (-484)\/(-6)). Let k = z - 55. What are the prime factors of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + -6*sqrt(1216).\nAnswer: -48*sqrt(19) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*4*(-1 + sqrt(567)) + 2 - 3*(sqrt(567) - 3*(sqrt(567) + 0))*4)*2)**2.\nAnswer: -76032*sqrt(7) + 5227408","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 10*x**2 + 11*x - 4. Is s(-5) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2624 and 164?\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1437 and 172783.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 2367, 9727, 22089, 39453, 61819?\n\"Answer: 2501*n**2 - 143*n + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -27*a - 23. Let p be i(-1). Suppose 670 = v - 4*t, 0*v + 3*t + 2641 = p*v. List the prime factors of v.\nAnswer: 2, 7, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16849 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -u**2 + 2*u - 1. Let i(o) = o**2 - o. Suppose 293 = -248*t + 1037. What is t*p(q) + 5*i(q)?\nAnswer: 2*q**2 + q - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 706 minutes after 1:37 PM?\nAnswer: 1:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (11 - 1)*24\/16. Let i be (-40)\/(-25) + -1 - (-21)\/m. Suppose i*h = 5*h + 6. What is the third biggest value in h, -6, 8?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*k + 7*k = 8*k. Determine r, given that 0*r + 2\/3 + k*r**3 - 4\/3*r**2 + 2\/3*r**4 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2, -152, -0.5, 2\/13, 1\/2?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 82173 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -22144444412 - -141?\nAnswer: -22144444221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = i**3 + 8*i**2 - 151*i + 36. Give s(-17).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*j**2 - 3*j**2 + 5*j**2 + 3*j**2 to l*j**2 + z*j + w and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -223*h = -284*h - 271*h - 18260 for h.\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 576942?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:57 PM and 6:48 PM?\nAnswer: 231","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = z**3 + 5*z**2 + 5*z + 10. Let y be s(-4). Solve 0 = -y*l + l + 5 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/n**2*n*n**9)**(2\/13) assuming n is positive.\nAnswer: n**(18\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1*5 - (-7 + 1 + -61). Suppose -d - j = -5*s, -s + 2*d = -0*s - 18. Let r = -19 - -117. Calculate the highest common factor of r and s.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 15\/3 + 9\/3. Suppose 0 = -2*b + 6*b - d. Solve -1 - b = -s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2374*p**2 + 73382559*p - 73382559*p - 2363*p**2.\nAnswer: 11*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 99 a factor of 363735?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 4, p: 1, a: 3, y: 7, x: 1, h: 2}. What is prob of picking 2 u and 1 x?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:31 PM and 3:12 AM?\nAnswer: 341","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that -3*h**5\/5 - 15588*h**4\/5 + 6237*h**3 - 15594*h**2\/5 = 0.\nAnswer: -5198, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -101814 divided by 82.\nAnswer: -50907\/41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + sqrt(2736)*2 + -5 + sqrt(2736) + 0 + -3)**2.\nAnswer: -864*sqrt(19) + 24768","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let -b**4\/3 + 611*b**3\/3 - 19136*b**2\/3 + 35836*b\/3 = 0. Calculate b.\nAnswer: 0, 2, 31, 578","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*y**3 + y**3 - y**3 + (66 - 39 + 69)*(-4*y**3 - 48*y**2 + 48*y**2).\nAnswer: -381*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 48*x - 15. Let f be n(23). Let r = f - 560. What is the tens digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/s**(-1\/3))\/s)**(-6\/11)\/(s**(-1\/4))**(10\/7) assuming s is positive.\nAnswer: s**(27\/154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -2.15, 0.3, -28, 1\/7, 1.3 in increasing order.\nAnswer: -28, -2.15, 1\/7, 0.3, 1.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(500) - (sqrt(500) - 3*sqrt(500))) + -5.\nAnswer: -5 + 30*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*k + q - 2350 = -29*k, 3*k + 2*q - 2345 = 0. What are the prime factors of k?\nAnswer: 5, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0 - 1. Let k = l - -5. Solve k*u - 2*u = 4 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = x + 6 + 41, -t - x = -28. List the prime factors of t.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (8\/12)\/(4\/(-6)). Let l be (-1 - -3) + (-1 - h). Let u(s) = -s**2 + s + 2. Calculate u(l).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1011 or -2023\/2?\nAnswer: -1011","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*w + 12, -3*w + 96 - 27 = -3*f. Let y = -17 - f. Are -2 and y nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the second derivative of -r**8\/10920 - r**7\/1820 + r**5\/195 - 7*r**3\/6 + 3*r. Let a(p) be the second derivative of y(p). Let a(d) = 0. What is d?\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (21\/(-14))\/((-5)\/((-70)\/(-3)))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (918\/135)\/(((-1)\/5)\/(-1)). Calculate the greatest common factor of 17 and w.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**24*g**(9\/4))\/(g**30*g)**(-27))**(-47) assuming g is positive.\nAnswer: g**(-162291\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the second derivative of -q**5\/70 + q**3\/7 + 2*q**2\/7 - 4*q. Factor i(m).\nAnswer: -2*(m - 2)*(m + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 - 469*q**3 + 6 + 493*q**3 + 2*q**2 + 9 as r*q**2 + h + b*q + k*q**3 and give h.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 23*d*m**2 + 2*d*m + d - 11*m**5 wrt m.\nAnswer: 46*d - 220*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Add -9580 and -4.\nAnswer: -9584","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + (16 - 3) + 29.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22531 is divided by 323?\nAnswer: 244","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4185 + -25189\/6. Let m(y) = -5*y**3 - 3*y**2. Let z be m(-3). What is the common denominator of 592\/z*3\/2 and d?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -x**2 - 4*x**2 + 2*x**2 + (-2*x + 1 - 1)*(-2*x + 1 - 1) + 2*x**2 - 8 + 3*x - 2*x + 6.\nAnswer: 3*x**2 + x - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 u when two letters picked without replacement from uuhuuuuu?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.897 + -0.103. Which is the closest to -0.1? (a) -5 (b) 1\/17 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2 + -94. Let d be (-100)\/(-75) - p\/(-42). Which is smaller: d or 0.08?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -20, -1\/6, -0.15, -3, -1\/3 in ascending order.\nAnswer: -20, -3, -1\/3, -1\/6, -0.15, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the third derivative of w**4\/24 - w**3\/6 - 2*w**2. Let b(r) be the third derivative of r**4\/8 - 2*r**3\/3 - 11*r**2. What is -b(f) + 2*s(f)?\nAnswer: -f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/4334*34848\/6336.\nAnswer: 2\/197","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 839032115 to the power of 1\/3, to the nearest integer?\nAnswer: 943","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -49 - -47. Let t be 36\/24 + v\/(-4). Solve t*a = 6*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-20)\/(-45))\/((-322)\/56511)?\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5? (a) 4 (b) 3 (c) -2\/5 (d) -33 (e) -45\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 130527?\nAnswer: 3, 14503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in one sixteenth of a millisecond?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide (-2)\/20 - (-2407336)\/1360?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-seven halves of a litre?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r when two letters picked without replacement from {z: 2, r: 3, y: 6, i: 2}?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.01 - -3.01. Let j = 660 + -663. Which is the second biggest value? (a) f (b) 1\/4 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 17*l - 7. Suppose 0 = n + 4*p + 1, n - 5*p + 8 = -2*p. Let t(k) = -11*k + 5. Let q(c) = n*z(c) - 8*t(c). Differentiate q(y) with respect to y.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = 6, -4 - 7 = 5*i - 3*d. Let o be 0 + (0 - i) + -2. Let s = 2 + o. Solve 3*u - 10 = -s for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = i**4 - 53*i**3 + 24*i**2 - 4*i + 53. Let p(x) = 6*x**2 - x + 1. Let w(y) = -4*p(y) + v(y). Differentiate w(q) wrt q.\nAnswer: 4*q**3 - 159*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -7*r + 11. Let z(o) = o - 1. Let f(q) = -x(q) - 6*z(q). Give f(2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q\/(q**(-3)\/q)*q)**21)**(-28\/3))**(9\/11) assuming q is positive.\nAnswer: q**(-10584\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 20737087 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -c**2 - 4*c - 5. Let o(y) = -y**2 - y + 1. Determine -3*o(q) + u(q).\nAnswer: 2*q**2 - q - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3 and 951.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 113852?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1349*i**3 + 1443*i**3 - 640*i**3 + (1 - 1 + i)*(-2*i**2 + i**2 - i**2) - i**2 + i**2 + 1 + 3*i**3 to the form b*i**3 + q*i + m + r*i**2 and give b.\nAnswer: 2153","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 7\/2 of a centimeter?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 176116737?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 3*k = -12, 0 = 5*h + 3*k + 9. Suppose 6*o + 2*i - 18 = 2*o, 5*o + 3*i - 24 = h. What is the tens digit of (o + -6 - -23)\/1?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x**3 + 7*x**2 + 6*x + 6. Calculate the remainder when 27 is divided by g(-6).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.057 + -0.055768. Round d to four decimal places.\nAnswer: 0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3765?\nAnswer: 3, 5, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*n - 769 - 17*n + 731 + 7*n.\nAnswer: -n - 38","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.832 - 811.168. Let p = 36653985.783 + -36654797.78300827. Let m = c - p. Round m to 6 decimal places.\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:35 AM and 3:52 PM?\nAnswer: 677","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:44 AM and 7:30 PM?\nAnswer: 586","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11, 2, -11, -28, -49, -74, -103?\nAnswer: -136","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 110208?\nAnswer: 2, 3, 7, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = 5*i - 22, -3*i + 4 = 5*r + 18. Suppose -i = -2*m + 10. Suppose -h + 4 = -0. Solve 0 = 2*z + h*l + 8, 2*z - 2*l - m = 4*z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = 3*h + 6. Solve 7 = 2*v + h for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3\/2, 402, -1\/8?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 126 divided by -3\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -39\/8 in -8, -3, -1\/2, -15, -3\/2, 5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = -3*d + 21, d + 4*y + 4 + 3 = 0. What is the lowest common multiple of (-9)\/(d\/(-2) - -1) and 3?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 65 - 844. Let w = j + 784. What is the nearest to 0.4 in -5\/3, -4\/7, 3, w?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/9 + (-194)\/(-18). Suppose -3*n - 19 = -5*r, 2*n - r = 5*n - x. Suppose 3*g + 20 = -g, n*g - 2 = -3*y. Solve -5*w + y = k - 1, 0 = -5*w - 2*k for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -242*t - 2. Let w be p(2). Let k be w\/(-15) + (-6)\/15. Let o = k - 9. Is o a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 53013775 divided by -10602755?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -10 - 174334?\nAnswer: -174344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 32\/1735071 and -13\/213.\nAnswer: 123190041","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 7 and 409139?\nAnswer: 2863973","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 7, b: 4, i: 3, e: 4}. Give prob of picking 1 i and 3 e.\nAnswer: 1\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27 + -10 + (9 - 13 - -2).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -x - 6. Let f be n(-10). Suppose 5*s + 3*a = 9, -f*s + 3 = -5*s - 3*a. Suppose -s*q = 27 - 117. What are the prime factors of q?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*k**3 - 110278800*k**2 + 110278796*k.\nAnswer: 4*k*(k - 27569699)*(k - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (-8 - 4) + (25 - 14)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -6*y**3 - 49*y**2 - 8*y - 182. Is p(-33) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-24)\/3*2\/(-4). Suppose -34 = -h*w - 22. Suppose -5*t - 43 = -33. Sort w, -5, -4, t in ascending order.\nAnswer: -5, -4, t, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the second derivative of j**4\/12 - 3*j**3\/2 + 3*j**2 - 9229*j. Give z(10).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 2025?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -134619016*j**4 + 21296077*j**2 + 2 wrt j?\nAnswer: -3230856384*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4853345 by -970669.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 51324491 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: Suppose 2*s + 3*s - 90 = 0. Suppose -v - 2*i - 3 = -25, 3*v - 4*i - 26 = 0. What is the lowest common multiple of s and v?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2987269229 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3709 is divided by 372.\nAnswer: 361","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Product of -91775 and 0.8.\nAnswer: -73420","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**9\/(h*h\/((h\/(h\/h**6))\/h)*h))\/(h**(-7)\/(h**1*h))*((h*h\/(h**(-1)\/h)*h)\/(h\/(h\/h**12*h)*h))**(-4\/9) assuming h is positive.\nAnswer: h**(208\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 - 5 = 2*p, 4*x + 3*p = -5. Let y(d) = -d**2 + 7*d. Let b be y(7). Is 114 - ((2 - x) + b) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -506*u + 253*u + 244*u - 55*u**2 wrt u.\nAnswer: -110","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -60\/17 (b) -135 (c) -4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4 (b) 3\/2 (c) -15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 749947 a multiple of 76?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -200*o + 12. Let q be (-208)\/39*6\/8. Is 14 a factor of n(q)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -171 - -166.65. Let w = -0.05 + x. Round w to the nearest integer.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1227 is divided by 8.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7 - 4. What is the second derivative of -4*j + k*j**5 + 6*j + 4*j wrt j?\nAnswer: 60*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*h - 6*h = t - 5, 3*t - 2*h = 35. Let z = 16 - t. Suppose r + 1 = 4. What is the greatest common factor of z and r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2 - -5. Suppose 71 - 251 = -2*q. Suppose -11*o - 2 = -q. Solve h*u + 4 = -o for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -39, -105, -191, -291, -399?\n\"Answer: u**3 - 16*u**2 - 25*u + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 844.2621 to the nearest integer.\nAnswer: 844","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 638 and 154.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -9, 548 in descending order.\nAnswer: 548, -3, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a**5 + 187390*a**4 + 22723410*a**3 + 901517840*a**2 + 11061375035*a - 25913606790 = 0.\nAnswer: -41, 2, 37599","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 2\/95, -2\/21, -0.5.\nAnswer: -1, -0.5, -2\/21, 2\/95","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 2*f = 2*f - 32, -3*s = -5*f - 8. Let p(l) = 256*l**2 - 3573*l - 16. Let w be p(14). What is the greatest common factor of w and s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -5157 - 3640?\nAnswer: -11017","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4492.016 millilitres to litres.\nAnswer: 4.492016","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -37\/396042 and -14\/13?\nAnswer: 5148546","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 133590318.\nAnswer: 2, 3, 17, 1309709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (12\/3)\/(4\/14). Suppose -4 = -5*w + 3*n + 50, 0 = -5*n - 15. Suppose w*m = 5*m + 112. What is the greatest common divisor of b and m?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*b + 4, -2*q + 105*b - 102*b = -3 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -19, 3, 2, 0, 71, -15 in descending order.\nAnswer: 71, 3, 2, 0, -15, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-450*w**2 + 569*w**2 - 606*w**2)*(-4*w**2 - 2*w**3 + 4*w**2).\nAnswer: 974*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 92031200?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 4*h**2 + 0 - h**2 + 0*h + 4 + 5*h. Let b be k(-3). Suppose -p - 64 = -2*w - 6*p, 4*p - b = 0. What is the units digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = 12*p - 22352. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*-4*((sqrt(1539) - (sqrt(1539) + -3)) + -1))**2.\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 1 = 5*n - 16, 3*n + 5*d - 31 = 0. Suppose -p - 24 = -c - 6*p, 12 = c + n*p. Let v(a) = a**3 - 6*a**2 + 6*a. Calculate v(c).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 34981 is divided by 294?\nAnswer: 289","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -h**3 - 4*h**2 - 2*h + 2. Let k(z) = z**3 + z**2 - 9*z - 7. Let f be k(-3). Suppose b + 4 = -f*p + p, p = 2*b + 2. Give y(p).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/6, 0.3, -1.7, -0.5 in decreasing order.\nAnswer: 0.3, -1\/6, -0.5, -1.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -40005 (base 6) to base 13.\nAnswer: -2492","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 10) to base 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y, 1 p, 1 e, and 1 x when four letters picked without replacement from pexiixiippielieyi?\nAnswer: 9\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -7*o**4 - o**2 - 341865*o + 11201791.\nAnswer: -28*o**3 - 2*o - 341865","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1 + 1)\/(1 - -4). Let b(r) be the first derivative of f*r**5 + 0*r**4 - 2*r + 0*r**3 - 2 + 0*r**2. What is the derivative of b(j) wrt j?\nAnswer: 8*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 116284 (base 10) to base 6.\nAnswer: 2254204","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((sqrt(1900) + -1 + sqrt(1900))**2 + -5 + (1 + sqrt(19) + 0 - sqrt(19)) + 4).\nAnswer: -40*sqrt(19) + 7601","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 468 minutes after 7:48 PM?\nAnswer: 3:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1564162902 - 1564162918.99999946. Let o = 17 + s. Round o to 7 dps.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -30.159 rounded to the nearest ten?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 3*-336\nAnswer: -1008","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -59*y - 1332 = 40*y - 25*y for y.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -3.335*-0.06265\nAnswer: 0.20893775","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (208\/(-70))\/(-26)*(-10)\/4?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1995034*l**3 - l**2 + 4*l - 530710 wrt l.\nAnswer: -11970204","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Solve 22*n - 23*n = 3 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -680372, -680370, -680368, -680366, -680364, -680362?\nAnswer: -680360","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 2 + 3 + 0 - 4 - 10*r. What is q(-1)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38*q - 902265 + 902987 = 0 for q.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.93445 + -1.91445. Let m be 2 + (-3)\/(3\/4). Is s <= m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*v**2 - 291*v - 8*v**2 + 14*v**2 - 562*v - 4*v**2 to b*v**2 + q*v + s and give q.\nAnswer: -853","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11*w + 6*w + 4*w to the form n + u*w and give u.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32870*c - 6 = 5*h - 32874*c, 3*h - 18 = -3*c for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.192 (b) 3 (c) -0.1 (d) -4 (e) -3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 3*q**4 - 2*q**3 - 8*q**2 - 8*q. Let d = -6 - -1. Let v(u) = 2*u**4 - u**3 - 5*u**2 - 5*u. Let g(w) = d*t(w) + 8*v(w). Let g(c) = 0. What is c?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 73*x + 457*x - 9538 = 11636 + 1086 for x.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + n + 22 = 0, 12*x = 7*x - 4*n + 37. Let s = 0 - 1. What is the nearest to -5 in s, x, 0.1?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3133*t**2 + t + 2*t**3 - 12*t - 3135*t**2 + (t**2 - 2*t**2 + 0*t**2)*(t - t - t) to the form f + i*t**2 + r*t**3 + p*t and give p.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -64*x**3 - 5*x + 4 + 0*x**4 - 3*x**4 + 65*x**3 to i*x + q*x**3 + r*x**4 + z*x**2 + y and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3569*r**6 - 50*r**2 - 15*r wrt r.\nAnswer: 428280*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-1\/2))**(-9)\/(q*q**(-1\/2)*q*q**(-2\/15)) assuming q is positive.\nAnswer: q**(47\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 83*n - 27*n**2 + 28*n**2 - 45*n in the form g + d*n + b*n**2 and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z, 2 i, and 1 a when four letters picked without replacement from zizazziizzi.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -214555 (base 10) in base 8?\nAnswer: -643033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0\/2)\/((15\/(-5))\/3).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s + 20 = 0, -21 + 26 = -3*w + 2*s for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (14\/(-70))\/((-2)\/(-4)).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + ((-4*(sqrt(242) - (-1 + sqrt(242))))**2 - (-1 + sqrt(242) + sqrt(242) + -1)).\nAnswer: -22*sqrt(2) + 21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 163 - 154. What is the highest common divisor of v and 153?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -149735 divided by -3?\nAnswer: 149735\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 34618 is divided by 2307?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -l**2 - 35*l + 13. Calculate u(-35).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 3*m**2 - 2*m - 1. Let z be i(-2). Let x(w) = 4*w + 64. Let a be x(-8). What is the common denominator of 39\/11 and (-10)\/z*(-510)\/a?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -76 - 0?\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -2*k + 4. Let y be (1\/(-2))\/(11\/330). Let s = y - -17. Sort s, k, -3.\nAnswer: -3, s, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -d**2 + 4*d + 17. Let x be w(6). Suppose x*o = 10, -y = 4*o - 5*o. Solve -2*c + c + y = 0 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -671*b + 0 + 0 + 678*b.\nAnswer: 7*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2580 - -247?\nAnswer: -2335","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1338924 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 2*m**2 - 3*m - 44. Calculate the lowest common multiple of 21 and h(-7).\nAnswer: 525","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -286, -560, -834, -1108, -1382, -1656?\n\"Answer: -274*l - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -120 divided by -60?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 3748223 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -10330 + 2322.6494318?\nAnswer: -8007.3505682","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-z + 3 - 3)*(0*z**2 - z**2 - 2*z**2) - 1 - 827*z**3 + 828*z**3 - z**2 + 0.\nAnswer: 4*z**3 - z**2 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 13 + -8 + 6 + -25.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3)\/(-9)*0\/(-2). Suppose 0*c = -3*x + 5*c - 15, 4*c = 12. Solve -k + 2*d + 11 = -x*d, 3*k + d - 5 = j for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the first derivative of -x**4\/4 + 13*x**3 - 507*x**2\/2 + 2197*x + 274. Solve m(b) = 0 for b.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-21)\/14*(-8 + 12)*((-20)\/12 - 0).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 243870000 to the nearest 1000000.\nAnswer: 244000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5? (a) -5561 (b) -2\/9 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - 4) + 7 + -2 - -1?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 470\/3 bigger than 157?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4\/313 in 1\/4, -2, -39?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 262002 is divided by 64.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (34960\/299)\/(-20) + 5 + -1 + 2?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/(-3*(-1)\/6). Suppose 6 = d*a - 2. What is the remainder when 3 is divided by a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2583 is divided by 321.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2\/109 - -117\/436. Put c, 5, -0.4 in descending order.\nAnswer: 5, c, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 31690833?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -4. Let o(m) = m**2 - m + 9. Determine -5*n(d) - 2*o(d).\nAnswer: -2*d**2 + 2*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = p. Let h(u) = -3*u**2 + 4. Let c(w) = -2*w**2 + 21*w - 21*w + 3. Let t(z) = -4*c(z) + 3*h(z). What is a(t(i))?\nAnswer: -i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -44 + 27 + -2 - 5.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 242 and 1065878?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2 + -2069203?\nAnswer: -2069205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -157 + 281. What is the derivative of -2*n**2 + 4*n**4 + 23 + 25 - 124*n**3 + d*n**3 wrt n?\nAnswer: 16*n**3 - 4*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 7 = 5*y + 8, 15 = -5*y - 4*u. Let x = -1 - -1. Suppose 3*m + 0*m = x. Sort 2, y, m.\nAnswer: y, m, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4\/(-22) + 420\/132. Suppose -5*f = -3*l + 62, -u*f = -4*l + 2*f + 86. Is l a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 66802, 267197, 601178, 1068739, 1669874?\nAnswer: 2404577","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -2*b + 14. Let m be d(-7). Suppose -3*g + 17 + m = 0. What is the greatest common divisor of g and 105?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*d**3 - 3306*d**2 - 6606*d - 3302.\nAnswer: -2*(d + 1)**2*(d + 1651)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3\/(6\/(-3) + 3). Suppose 4*b + 15 = r*w - b, 2*b + 6 = 3*w. Let z = 5 - w. Calculate the remainder when 9 is divided by z.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1131 = -134*r - 15*r - 657 for r.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -69 - (1 - -1) - (-18 - -13). Let h = a - -122. Suppose 0 = -5*x + 59 + 16. What is the remainder when h is divided by x?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 6.2, 0.04, 7\/6, -1\/3, 0.2 in ascending order.\nAnswer: -5, -1\/3, 0.04, 0.2, 7\/6, 6.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.015429 at least 69\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2002 + -5?\nAnswer: -2011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -h**2 - 14197 - 7*h**2 - h + 14200 + 3*h + 2*h**2 to the form o*h**2 + j + u*h and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 359643?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 159*k - 21. Let g(t) = 1804*t**2. Give a(g(p)).\nAnswer: 286836*p**2 - 21","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -73 - -78. Suppose 2*d = -6*j + 4*j + 3946, -i*d + 3*j + 9897 = 0. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 117, 0, 2, 1736, 75 in ascending order.\nAnswer: 0, 2, 75, 117, 1736","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3 - -3.04. Let g = x + 0.36. Let s be (-94)\/47 - (-120)\/57. Which is the closest to 1? (a) -5 (b) s (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) be the third derivative of b**6\/120 + b**5\/60 - b**3\/2 - 14*b**2. Let w(a) = 7*a**2 - 4*a - 3. Calculate the remainder when w(-2) is divided by s(2).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that 2*r**3\/5 + 54764*r**2\/5 + 374448466*r\/5 - 6005203232\/5 = 0.\nAnswer: -13699, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 times -23.3?\nAnswer: 9.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7 + 6. Let h(i) = -i - 1. Let s(t) be the first derivative of -t**2\/2 + t + 13. Determine d*h(u) - s(u).\nAnswer: 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 486833 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -794 + 795. Which is the nearest to d? (a) -0.1 (b) 0 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 151*l + 39958 = 66371 - 35926 for l.\nAnswer: -63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 4 * -104\nAnswer: -416","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2 - -3 - -1)*1. Let z = -3 + 5. Solve z = -o*q + 5*c + 17, 4*q + 5*c = -15 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 38146 in 271\/6, -0.1, 1\/8?\nAnswer: 271\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 482 = -884. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7841002 and 689.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 88.33677 millilitres in litres?\nAnswer: 0.08833677","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -13 + 68. Is t a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1150*n**2*w**2 - 643*n**2*w - n**2 - 2427*n*w + 586*w**2 + 3*w wrt w.\nAnswer: -2300*n**2 + 1172","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*(c\/c**(11\/2))\/c)\/c*c*c\/(c\/c**(-1\/4)*c))**(-10\/7) assuming c is positive.\nAnswer: c**(115\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 25525987 divided by -4?\nAnswer: -25525987\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(833) + 0 + 1)*6 + (sqrt(833) - (2 + sqrt(833) + -1)) + 4)*-2)**2.\nAnswer: 3024*sqrt(17) + 120276","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - -9 - (18 - 9)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 + 20 = -3*n. Solve 2*w + 4*h = -2*w + 12, 5*w - 10 = -n*h for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 18329128?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xddxdxddxddxx. What is prob of sequence ddxx?\nAnswer: 21\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (16\/(-9) - -2) + 12240\/(-405). Let z(c) = 3*c**2 + 69*c - 77. List the prime factors of z(j).\nAnswer: 7, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1729175.\nAnswer: 5, 7, 41, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-49)\/(-2) + (-12)\/8. Suppose 3 - g = 5*c. Let n(l) = l**3 + 4*l**2 - 4*l - 2. What is the units digit of n(c)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 22473 divided by -63\nAnswer: -2497\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 3783914039 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1.368 and 1.06.\nAnswer: 2.428","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -349.961 - -350. Which is greater: w or 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5730320?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(1573))*-2 + sqrt(1573) - (sqrt(156) + (sqrt(156) - (-1*-2*sqrt(156) + sqrt(156) - sqrt(156))))\/sqrt(12).\nAnswer: -11*sqrt(13) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in -1, 117, 8, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 20831837 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1222*s*w**3 - 54928*s - 2*w**3 + w wrt w?\nAnswer: 7332*s*w - 12*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*p**4\/5 - 496*p**3\/5 + 200*p**2.\nAnswer: -2*p**2*(p - 2)*(p + 250)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.3 less than 7.7?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0.3 (b) -6\/5 (c) -8 (d) 16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.2 - -2.2. Let u(d) = -d**3 - 2*d**2 + 3*d + 3. Let w be u(-2). Which is smaller: w or t?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = -2*k - 8, -4*k - 37 + 11 = -3*w. Let r = w + 2. Let j be (((-12)\/10)\/2)\/(15\/(-75)). Sort -1, r, j in decreasing order.\nAnswer: r, j, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1693.898 * 3\nAnswer: -5081.694","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -12488481, -24976933, -37465385?\nAnswer: -49953837","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1930181?\nAnswer: 11, 227, 773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-1)\/3)\/((-8)\/(-24)). Let y be j\/(-3) - (-15)\/9. Solve -2 = -0*d + y*d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2986 is divided by (-954)\/(-81) + -12 + ((-544)\/(-18) - 4).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 910894861 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 9*c. Let j(p) = -2586*p**2. Calculate j(b(w)).\nAnswer: -209466*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19023 is divided by 58.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in c**3 + 194236*c - 582812*c + 194247*c + 194247*c.\nAnswer: c**3 - 82*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -21222 - 20110?\nAnswer: -101332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -287, -297, -307?\n\"Answer: -10*f - 277","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 436, 426, 412, 394?\n\"Answer: -2*r**2 - 4*r + 442","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**3 - 325812*l**2 + 1629079*l - 1954902.\nAnswer: -(l - 3)*(l - 2)*(l + 325817)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 0*q = 12. Suppose 2*f - 5 = q. Solve -f*y + 5 - 21 = 0 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 570075 + 0.195.\nAnswer: 570075.195","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ffbfffffbbffffbb. What is prob of sequence bffb?\nAnswer: 55\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -14*t + 5. Let q(a) = 30*a - 11. Let f(i) = -13*l(i) - 6*q(i). Let n(j) = 3. Let c(r) = -6*f(r) + 3*n(r). Let d(b) = -4*b**2. Determine d(c(k)).\nAnswer: -576*k**2 + 288*k - 36","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2370328*j**2 + 5*j + 680366?\nAnswer: 4740656*j + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 3*h + 21 = 5*h, -9 = -5*z + 2*h. Let g be (-2)\/10 - (-1 + (-8)\/(-10)). Sort -1, z, g in descending order.\nAnswer: z, g, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*v**3\/8 + 3153*v**2\/4 - 37917*v\/8 + 14229\/2.\nAnswer: 3*(v - 3)**2*(v + 2108)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.3323 + 0.0323. Let v = -1\/57 - -22\/171. Sort v, c, -1\/2 in descending order.\nAnswer: v, c, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + -2 + (sqrt(12)*-3)\/sqrt(6) + 4 + (sqrt(648)*2)\/(sqrt(9) + -1*sqrt(81)).\nAnswer: -9*sqrt(2) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-26128)\/46*(94\/(-112) - ((-11849)\/(-287) - 42)).\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -0.250748 times 0.1\nAnswer: -0.0250748","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/9 - 256\/456) + 2 + 1364\/38.\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(5\/3)*a*((a**(-2\/9)*a)\/a)\/a*(a**(-2\/3))**(3\/2))\/((a**2)**(3\/26))**(-11) assuming a is positive.\nAnswer: a**(349\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 1\/8 (b) -1 (c) -1031\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 39 - 122*y - 39 + 412*y as t*y + w and give t.\nAnswer: 290","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*p**2 - 4*p**2 + 8*p**2 - 751*p - 106*p in the form z*p**2 + g*p + m and give g.\nAnswer: -857","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/5 of a milligram in micrograms?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1344 and 28896.\nAnswer: 57792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -2*q. Let j(n) = 6*n**2 + 1. Let x(k) = -42*k**2 - 6. Let v be (-6)\/4*(-10)\/75*10. Let o(p) = v*x(p) + 15*j(p). Give o(m(w)).\nAnswer: 24*w**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1\/3*-3 - -1. Suppose -4*m = -4*b + 36, 3*b + l*m - 4*m = 30. Let o(y) = y + b*y - 12*y. Let a(f) = -9*f. Determine o(a(c)).\nAnswer: 45*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rv when two letters picked without replacement from {q: 8, y: 2, r: 1, z: 1, v: 7}?\nAnswer: 7\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*w + 5*a + 29, 4*w + 0*w = -2*a - 2. Determine i so that 7*i**3 + 8*i + 5*i**3 - 2*i**4 - 3*i - 26*i**w - 8 + 19*i = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 15502 and 92.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 1275001, 3, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -l**3 + 5*l**2 - 4*l + 1. Let d be g(2). Let j be (-1)\/(-2) - (-1500)\/8. Suppose 2*k = 2*q - 6*q + j, d*q = 0. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 589266.6 kilograms?\nAnswer: 589266600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one quarters of a centimeter in micrometers?\nAnswer: 52500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*a - 8*a - 2*a)*(-2*a - 2*a - 3*a)*(0 + 0 - 2).\nAnswer: -140*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h\/h**50)\/h*h)\/h**9 assuming h is positive.\nAnswer: h**(-57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 18969936 a multiple of 167?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1347 - 150*n - 1131 + 2478.\nAnswer: -150*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 1397 divide 2126165547?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 65 and 135?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 187 - 5?\nAnswer: 182","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v**2)\/v**4*(v*v*v**6)\/(v\/(v*v**(2\/15))) assuming v is positive.\nAnswer: v**(107\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the third derivative of 17*f**8\/40320 - f**7\/672 - f**6\/720 + 7*f**5\/20 + 20*f**2. Let w(v) be the third derivative of n(v). Factor w(j).\nAnswer: (j - 1)*(17*j + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 300180 and 1380.\nAnswer: 6904140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -30110101441 + -103?\nAnswer: -30110102044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = t**2 - 18*t - 76. What is o(-3)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 37489228 to the power of 1\/5, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 2*c + 12 = 4*v, -4*c - 4 = v. Let n = 22 + v. Suppose -8 = -2*m + n. Calculate the highest common factor of m and 51.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3*1 + (-72)\/27. What is the closest to 2\/7 in 2\/7, 4, w?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1016396219 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8794734?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 211 minutes before 7:34 PM?\nAnswer: 4:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 127 divide 4652921?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -27*q + 112*q - 66*q - 21*q. Let b(j) = 12121*j**2. What is l(b(k))?\nAnswer: -24242*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.3 (b) 2 (c) 118 (d) 2\/23 (e) 2\/19 (f) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = h**3 + 14*h**2 + 7*h - 5. Let g be p(-12). Let a = g - 142. Let r = a - 53. Solve 2*u = -4*k - 20, k + 4*u - 4 = r*k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3662 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let -55*b**5 + 10330*b**4 - 363375*b**3 + 1566980*b**2 - 1590620*b - 343200 = 0. What is b?\nAnswer: -2\/11, 2, 3, 40, 143","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (386\/190 - (-14)\/(-7))*(55 + -60)?\nAnswer: -3\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = m**2. Let n(v) = 4*v**2 - 11*v. Suppose -3*r - 90 = -8*r. Let f = -12 + r. Let z(x) = x**2 - 3*x. Let i(u) = f*n(u) - 22*z(u). Determine i(s(y)).\nAnswer: 2*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5 + -9. Let h be ((-6)\/5)\/(z\/(-20)). Let x be (1 - 1) + (h - -3706). What is x rounded to the nearest one thousand?\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1 + 1 + 352 + -30. Calculate the greatest common factor of 9 and v.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 2*w + 67 = 14, -3*k = -2*w - 49. Suppose 5*v - k = -7. Solve j + 5*s - 18 = 0, 0 = v*j - j - s + 6 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -11371 - 86c?\nAnswer: -11c10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 40992?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 61, 68, 87, 124, 185, 276?\nAnswer: 403","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 414 minutes before 6:07 PM?\nAnswer: 11:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is a768 (base 14) in base 12?\nAnswer: 14888","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -26988 divided by -13\nAnswer: 2076","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.0022492 and -286965357.2.\nAnswer: -286965357.2022492","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(2430) + sqrt(60)\/sqrt(2)*1)\/(3*((sqrt(120)\/sqrt(2))\/sqrt(6) - sqrt(40)*2)).\nAnswer: 35*sqrt(3)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*1*(2*(sqrt(120) + -1*sqrt(120) + sqrt(120)))\/(sqrt(50)\/(-2*sqrt(5)))*3)**2.\nAnswer: 43200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 72641.7 - 72642. Let p = 1.06 + -1. Sort s, 1\/2, p.\nAnswer: s, p, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1408103.851734 and 92.\nAnswer: 1408195.851734","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 7 + 5*q**2 - q**2 + 2*q - 2*q**3 + q**3. Let u = 84 + -45. Suppose 5*d - 35 = -2*b, -4*b - 4*d + u = -1. Calculate z(b).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -u**3 + 452*u**2 - 559*u - 153492. Calculate k(450).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -229124.5 to the nearest one thousand.\nAnswer: -229000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + 1 + sqrt(2299).\nAnswer: -4 + 11*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 145 + 67.\nAnswer: 212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6 - -4. Suppose -4*o = -14 - 10. Suppose -11*m = -o*m - 10. Solve 0 = m*u - 0*u - s for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/(-6))\/((-4)\/(-16)).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8\/4)\/((-2)\/(-29))?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 84 = -8*m. Let r(i) be the first derivative of 95*i**2 - m - 198*i**2 + 104*i**2. Give r(-5).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 19264860 and 430?\nAnswer: 430","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Add together -45425356261 and 0.63.\nAnswer: -45425356260.37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2 or 989\/1284?\nAnswer: 989\/1284","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -2*a - 2. Let s(j) = j + 1. Let r(f) = -6*i(f) - 13*s(f). Let b = -1 - -4. Give r(b).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = -29 - 26. Suppose -2*o - 3*y - 27 = 0, -o = -0*y - 2*y - 4. Let r(k) = -k**3 + 6*k**2 + 6. Let v(m) = 2*m**3 - 11*m**2 - 11. Give f*r(i) + o*v(i).\nAnswer: -i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 5*m. Let l(a) = -1. Let i(d) = -2*d - 2. Let o(u) = -i(u) + 2*l(u). What is r(o(n))?\nAnswer: 10*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 23921509 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-5 + 2 + 1)*(2*o + o - o) + o - 1 + 1 + (o - 2*o + 2*o)*(1 + 0 + 0) - o + 2*o - 3*o + 2*o - o - 2*o)*(-42*o - 23 + 41*o + 110).\nAnswer: 5*o**2 - 435*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.95 + 0.05. Let n = t + -1.7. Let i be (-2)\/6 - (-4)\/(-12). Which is the closest to n? (a) i (b) 5 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -k**2 - 7*k - 6. Let o be s(-5). Suppose n = -o*n + 5*a + 20, -n + 2*a = 0. Calculate the remainder when n is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 119732414?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/19 in 1\/1059, 0, 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.4 (b) 2 (c) -8\/21\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1621443754 less than or equal to 1621443753?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 317240 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -28*r. Let q(l) be the second derivative of -l**4\/6 + 26*l. What is q(h(s))?\nAnswer: -1568*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3 + -2. Which is greater: c or 2\/121?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 739 * 45396\nAnswer: 33547644","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*x - 8*x + 8*x - 34*x + 16*x.\nAnswer: x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2 - 1. Let q = 14.49 + -13.973. Let g = -0.217 + q. Which is the nearest to -0.2? (a) 4 (b) g (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 19 - 64 = 0. Let s(b) = -2*b - 11. Let r be s(w). Let l = 1 + r. Solve 3*y - l = 5*y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -34*r + 58. Let b be d(7). Let i = 168 + b. Let n = 37 + -36. What is the third smallest value in n, i, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:09 PM and 2:28 AM?\nAnswer: 559","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-41)\/(-44) - (-30)\/(-165) - -1. Suppose -v**5 - d*v**2 + 0 - 1\/2*v + 3\/2*v**3 + 7\/4*v**4 = 0. What is v?\nAnswer: -1, -1\/4, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2454 = 6*h - 8388. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3*(-6)\/9 - -5. Let c(d) = -d - 6. Let p(q) = -1. Give f*c(a) - 21*p(a).\nAnswer: -3*a + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 0.4, 4\/5, 0.11, 0?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/(-6))\/(52\/(-156)) + -1*5.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.989561 minutes to microseconds.\nAnswer: 179373660","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + 3 + (-4 + 2 - 1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 26140\/359425*(-11)\/14\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = 3*j + 8, 4*s + j = 8*s. Let p be s\/(((-4)\/(-2))\/(-1)). Factor p - 5\/4*t - 3\/4*t**2.\nAnswer: -(t + 2)*(3*t - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -111 - -200. What is the remainder when p is divided by ((-99)\/18)\/(-11)*90?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 393308 is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 86 + 5?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 53\/354 and -95\/14.\nAnswer: 2478","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the second derivative of -97*o**6 - 1951*o**2 + o + 6028. Differentiate s(i) with respect to i.\nAnswer: -11640*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2204934?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 159 minutes before 2:03 AM?\nAnswer: 11:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8557.\nAnswer: 43, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 60*n**2 + 2*n + 7. Let y(c) = -25*c**2 - 3. Calculate -2*q(r) - 5*y(r).\nAnswer: 5*r**2 - 4*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 0, 5, -4, -1 in descending order.\nAnswer: 5, 0, -1, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 3051376309 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 5*b = -66620 - 69580, -b + 136200 = 3*i. Round i to the nearest ten thousand.\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -a**3 + 15*a**2 + 2*a - 19. Let x be (-7)\/(315\/10) + 411\/27. Calculate the lowest common multiple of k(x) and 3.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1867640 by -5.\nAnswer: 373528","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 2*r = -808, -12*w + 5*r = -10*w + 805. Let z = w + 782. What is the highest common factor of z and 87?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 2 = i, -3*j + 5*i - i = 10. Let r = -1027 + 1728. Let w = r + -700.6. What is the smallest value in w, j, 2\/15?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1210000 rounded to the nearest one hundred thousand?\nAnswer: -1200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 455\/69 or 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 16937043685 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3\/26 (b) -3 (c) 13\/16 (d) 3 (e) 3\/67\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 34 + (8 - (0 + (-364)\/(-14))).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -3*(-33)\/(-9)*5. Let o be 15\/w*1\/(-3). Let d = -0.1245 + -4.8755. Put d, o, 0.4 in ascending order.\nAnswer: d, o, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -29, -25, 0 in decreasing order.\nAnswer: 0, -25, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 15 - 20. Sort 5, f, 3, 0 in increasing order.\nAnswer: f, 0, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-2\/7)*x*x)**12\/(x**2*x*x*x\/x**(9\/2)) assuming x is positive.\nAnswer: x**(281\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2150 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rfr when three letters picked without replacement from dmocromdocmdcmrf?\nAnswer: 1\/1680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 6*l**2 + 8*l - 6. Let b be z(3). Calculate the common denominator of 6\/20*(-6 - (-1520)\/b) and 19\/33.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12779144 divided by 3?\nAnswer: -12779144\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(-1\/16)*x**12 assuming x is positive.\nAnswer: x**(191\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 155 minutes before 4:27 PM?\nAnswer: 1:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 3638307, 3638335, 3638369, 3638415, 3638479, 3638567, 3638685?\n\"Answer: k**3 - 3*k**2 + 30*k + 3638279","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let 2\/3*t**4 + 0 - 2\/15*t**3 - 2\/3*t**2 + 2\/15*t = 0. What is t?\nAnswer: -1, 0, 1\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1 + -1032040?\nAnswer: -1032041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.711 and 4?\nAnswer: 2.844","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13229 - 13149 = 20*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 348 + -346. Let r(t) = 2*t**2 + 2*t**2 - 6*t**d + 3*t**2. Let y(m) = 42*m**2 - 2. What is y(r(h))?\nAnswer: 42*h**4 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -185488279 divided by 9762541?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 2*b**2. Let j(k) be the first derivative of k**3\/2 + 3*k - 3. Let i(r) be the first derivative of j(r). Calculate i(h(v)).\nAnswer: 6*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1047690?\nAnswer: 2, 3, 5, 7, 1663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 38040 a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 12\/(-2)*(-12)\/(-9). Let h(c) = -c**2 + 5. Let r be h(p). Let s = -29 - r. What is the tens digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -11\/5 - -43\/15. Let o = -9\/20 - -1\/4. Let s = 3 - 3. What is the closest to s in 1\/9, r, o?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -z**3 + 5*z**2 + 7*z + 5. Let a be 0 - ((-8)\/(-4) - 16). Let v be (-90)\/(-14) + (-6)\/a. What is j(v)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 1 + 4)*(-120 - 10*m + 120)*(21 + 23 - 22) in the form n*m + f and give n.\nAnswer: -220","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 9137+13254924067\nAnswer: 13254933204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (u + 3*u - 5*u)*((-3*u + 2*u - 5*u)*(-2 - 1 + 1)*(2 - 2 - 3*u) + 7 - 7 + 3*u**2 + (1 + 2*u - 1)*(-2*u - 1 + 1) + 5*u**2 - 7*u**2 - 8*u**2).\nAnswer: 47*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 445 = 2*u, 3*i = -2*i - 3*u + 741. Let y = i + -96. What are the prime factors of y?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 280 and 35?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/2 in -1\/25, -3, -2?\nAnswer: -1\/25","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 909.5367mm?\nAnswer: 0.0009095367","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (16 + 1 - 5)*(-3*o - 3*o + 4*o)*(282 - 116 + 540 + 45) to l + w*o and give w.\nAnswer: -18024","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w and 1 j when three letters picked without replacement from wwjwwwjwjw.\nAnswer: 21\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-6)\/(-141) - -345*1\/(-2585). Let f = -3.0356 + 0.0256. Let b = f - -0.01. Sort 4, r, b.\nAnswer: b, r, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -a**3 - 6*a**2 - 11*a - 8. Let c(n) = -n**3 - 5*n**2 - 12*n - 7. Let r(g) = 3*c(g) - 4*d(g). Is r(-8) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 968717.5 millimeters to centimeters.\nAnswer: 96871.75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 97 is divided by 54?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 77158 is divided by 78?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 466, 933, 1400, 1867, 2334, 2801?\nAnswer: 3268","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4412134 (base 6) to base 14.\nAnswer: 59dd8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t**(-28))\/((t*((t**(1\/32)\/t)\/t)\/t)\/t))**(-3) assuming t is positive.\nAnswer: t**(2307\/32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = 5*a, 7*q - 10*q - 5*a = -2*q - 7 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -118739 - -2?\nAnswer: -118737","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 8*n**2 - 104*n + 1. Let p(o) = 41*o**2 - 523*o + 6. Calculate 11*a(r) - 2*p(r).\nAnswer: 6*r**2 - 98*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 588012?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4aa25309 + 6?\nAnswer: -4aa25303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 512922482?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oouuuuooououuo. What is prob of picking 3 o?\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1890135461 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -885, -877, -865, -849?\nAnswer: -829","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 17011747 to the power of 1\/2, to the nearest integer?\nAnswer: 4125","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 4352 a factor of 17658061?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/h**(-41)*h**(-4\/17)\/h)\/(h\/(h*h**(-3\/8)\/h)*((h\/h**(-8))\/h)\/h) assuming h is positive.\nAnswer: h**(4405\/136)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.017 + 5.017. What is the nearest to 2 in v, -5, -3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*y - 25 + 27 - 3*y)*(y**2 + y**2 - 3*y**2 + (0*y - 4*y + 5*y)*(-2 + 2 - 2*y)).\nAnswer: 18*y**3 - 6*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 61*m**2 - 12*m**2 - 28*m + 28*m in the form z*m + l*m**2 + g and give l.\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-3*4\/18)\/(2\/(-12)). Let h be ((-9)\/n)\/((-6)\/176). Suppose -5*d = f - 17, 5*f - 267 = 4*d - h. Is f a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 49*k - 41. Let u(p) = -14. Give 2*r(c) - 6*u(c).\nAnswer: 98*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 24 times -16?\nAnswer: -384","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -9357683 * -8.\nAnswer: 74861464","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 3*r**3 + 45*r**2 + 37*r + 5. Let l(h) = -8*h**3 - 112*h**2 - 92*h - 12. Let s = -93 - -88. Let f(c) = s*l(c) - 12*j(c). Let f(a) = 0. What is a?\nAnswer: -4, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2 - 1)*(-155)\/3. Suppose 3*a + l = 2*k, -k + 6 + 39 = 5*a. What is the greatest common divisor of k and 105?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -47*t**2 + 84*t**2 + 13074*t - 41*t**2.\nAnswer: -4*t**2 + 13074*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v and 2 b when four letters picked without replacement from {v: 3, w: 2, b: 3}.\nAnswer: 9\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o*o\/(o\/o**(-2\/7)))*o**27)\/((o*o**23)\/((o**(-3)*o)\/o*o)) assuming o is positive.\nAnswer: o**(9\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.4 - 0.3. Let w = 39 - 57. Let t = w + 17. What is the nearest to t in 0.06, -3, a?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 897 - 896.98528. What is o rounded to 3 decimal places?\nAnswer: 0.015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 10561?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4044043140 (base 5) to base 13.\nAnswer: 190a004","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-22)\/n)\/((n\/(n**(-17)\/n))\/n) assuming n is positive.\nAnswer: n**(-41)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 10*p**2. Let r(k) = 24*k**2 + 14*k + 14. Let m(h) = -5*h**2 - 3*h - 3. Let s(x) = -14*m(x) - 3*r(x). What is o(s(l))?\nAnswer: 40*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 12014.34 millilitres?\nAnswer: 12.01434","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2 - -12413?\nAnswer: 12411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 272*k - 236*k + 468 for k.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-8)\/(-28) + 23\/(-7). Let y be (-5 - n)\/(1\/(-2)). Calculate the highest common factor of 28 and y.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -45 + 44. Let b be t - 0 - (-2 + -1). Let g be 4\/(-8)*-1 - b. What is the second smallest value in -2, -4\/7, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5224*f**2 + 16*f**3 - 12*f**3 - 51*f**6 - 18*f**3 - 23*f**3 - 4*f**6 wrt f?\nAnswer: -6600*f**3 - 222","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1331, -2732, -4121, -5492, -6839, -8156?\nAnswer: -9437","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that 2*w**2\/5 + 32*w\/5 + 128\/5 = 0.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 4, -41, -116, -221, -356, -521?\n\"Answer: -15*a**2 + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13 + -21 - (-250 + 153).\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -410 - 220. Let b = i - -666. What is the remainder when 132 is divided by b?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 6373 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 8099518 a multiple of 40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 499967 to the nearest integer?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -30.24 - -32.9. Let i = 0.14 + l. Let f = 5.7 - i. Round f to the nearest integer.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27706 to the power of 1\/3, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is d in -d**2\/2 - 113926441*d - 12979233958926481\/2 = 0?\nAnswer: -113926441","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -263*b = -2737 - 11810 + 871 for b.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 54 - 30. What is the common denominator of (-6)\/(-18) + (-299)\/u and -19\/4?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*y**2 + 36237*y - 108684 = 0. Calculate y.\nAnswer: 3, 12076","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 21 (base 11) to base 5\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.9 smaller than -630\/29?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -82, 626, -3 in descending order.\nAnswer: 626, -3, -82","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -8*i**2 - i**2 + i + 3 + 21*i**2 - i**3 - 10. Is w(8) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-145)\/(-10) - (-3)\/(-2). Suppose 0 = k*x - 3*x + 180. Let v be (-4)\/x + 2\/(-9). Let m(y) = y**3 - y**2 + 6. Calculate m(v).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1996 - -3096. Is 24 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -51 + 91. Suppose y + 13 = 53. Let p = y - 26. What is the remainder when k is divided by p?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fly when three letters picked without replacement from {g: 3, l: 2, f: 1, y: 1}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 3*q - 16 = q, 2*z - 4 = q. Let u(k) = -k**3 + 6*k**2 - 5*k + 2. Let a be u(5). Put 3, z, a in descending order.\nAnswer: 3, a, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 19 + (-2 - -2) + -2. Let t = w + -6. Suppose -2 = -16*h + 14*h, -101 = -p + 2*h. Calculate the least common multiple of p and t.\nAnswer: 1133","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.039972 and 12.\nAnswer: 0.479664","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let 0*w + 2\/9*w**5 + 0 - 2\/9*w**3 + 2\/9*w**2 - 2\/9*w**4 = 0. Calculate w.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.866 to the nearest integer.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54 - 58 = 4*g. Is g at most -109\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.26 + 7.26. Let m = l - 9. Let d be (57\/(-15) + 4)\/(3\/(-3)). Sort 3, -1\/8, d, m in decreasing order.\nAnswer: 3, -1\/8, d, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60 = -16*o - 12. Suppose o*p - 322 = -11*p. Is 4 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 360*y - 167. Is t(17) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i + 12. What is d(-10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 3, o: 4}. What is prob of picking 2 o and 2 g?\nAnswer: 18\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-66)\/(-176) + (-756)\/(-288). Let v(m) = 0 - 5*m + 3 - 1. Determine v(s).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 667 = 15*r + 12067. Let i = -757 - r. Factor 2\/3*u**i + 1\/3*u**4 + 0 - 2\/3*u - 1\/3*u**2.\nAnswer: u*(u - 1)*(u + 1)*(u + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -8? (a) -4 (b) -0.1 (c) 28 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 2*u**2. Let s(m) = -23*m + 788. Calculate l(s(t)).\nAnswer: 1058*t**2 - 72496*t + 1241888","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 115 and -1600?\nAnswer: -184000","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*c**3 - 3*c**2 - 5*c + 2*c - 3*c.\nAnswer: 3*c*(c - 2)*(c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the first derivative of -8*k**2 + 119*k - 5339. Give n(6).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 2*i + 6 = -8, -1 = 4*n + 3*i. Let h(u) be the first derivative of 1\/2*u**3 + 1\/2*u - 1\/8*u**4 + n - 3\/4*u**2. Solve h(a) = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 466763\/24 + -19446. What is the common denominator of a and -73\/3048?\nAnswer: 3048","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + -4*(-5 + -5 + sqrt(1008)*5 + 5).\nAnswer: -240*sqrt(7) + 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 875 and 1225.\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 358 = -117. Is q a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 29*p + 257. Determine b(-9).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 4*f + 20 = 76, 0 = 4*f + 20. Let y be (72\/l)\/(22\/(-6)). Factor -4\/11*c**2 + 0 - 2\/11*c**3 + y*c.\nAnswer: -2*c*(c - 1)*(c + 3)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 553 and 427469?\nAnswer: 553","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -7176 divided by 312\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**3)**(5\/4)*(g**(-4)\/g)**(-11))**(-19) assuming g is positive.\nAnswer: g**(-4465\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express y**2 - y + 2*y**3 + y**2 + 5*y - 3*y + 2*y**4 as n*y**3 + o*y + k*y**4 + p*y**2 + s and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: ((-16)\/(-124))\/(-2) - 4599\/19530\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (4\/96)\/(4\/8). Let d(w) = w**2 - 7*w + 6. Let x be (-19)\/(-3) + 3\/(-9). Let y be d(x). Which is bigger: y or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) -0.1 (b) 2\/7 (c) -96 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 248906 a multiple of 71?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -0.4, 1\/3, 34, -778?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8 by -157.\nAnswer: 8\/157","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -20 - -20. Suppose k = -2*a + 12*a - 1400. Does 26 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/5, 124, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -376709\/36 + 41365\/4. Let r = z - -123. Do 1 and r have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -13*f**4 + f**3 - 1733*f**2 + 91296*f wrt f?\nAnswer: -156*f**2 + 6*f - 3466","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = -4*x + 16 - 141, o = -x - 25. What is the units digit of 1\/(2 + o\/13)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**0*j)\/j*j**(2\/15)\/j*j)\/(j**(-2\/7)\/((j\/(j**0\/j))\/j)) assuming j is positive.\nAnswer: j**(149\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (316*v**4 - 8*v**3 - 309*v**4 - 2*v**3 - 3*v)*(4*v + v - v).\nAnswer: 28*v**5 - 40*v**4 - 12*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -15*z + 5 - 3 - 2 to the form v*z + y and give v.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence brp when three letters picked without replacement from {e: 4, p: 1, r: 2, q: 1, v: 4, b: 3}?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 77, -5, 12\/5, 2, -102, -1, -0.2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*z + 4*b + 13830, -b = z - 2*z + 4611. What is the units digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3997450 to the nearest integer?\nAnswer: 1999","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*l*v**2 + 332*l*v + 65*l - 6190*v**2 wrt v?\nAnswer: 8*l - 12380","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 59*d**3*s**3 + d*s**3 + 15800*d*s + s**3 + 2*s**2 - s - 6403831 with respect to d.\nAnswer: 177*d**2*s**3 + s**3 + 15800*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 1637243328?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = f**2 + f - 5. Let v be w(-4). Sort -3, 0, v in decreasing order.\nAnswer: v, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -507 divided by 2?\nAnswer: -507\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -c**3 - 6*c**2 + 6*c. Let p(r) = -r + 1. Let t(q) = -m(q) + 2*p(q). Let f = 2 + -9. Is t(f) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 173*t**3 - 2*t + 179 wrt t.\nAnswer: 519*t**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -q**2 + 10*q + 6. Let y(p) = 2*p**2 - 15*p - 9. Determine -8*j(c) - 5*y(c).\nAnswer: -2*c**2 - 5*c - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 26 and 689?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 x when four letters picked without replacement from {o: 7, x: 10}?\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x**8\/x)\/x)\/(x**(-2\/15)*x))**(-1\/33)*(((x**(-2\/7)\/x)\/x)\/x**(-4\/5))\/((x*x**(-2\/3)*x)\/x)**(2\/59) assuming x is positive.\nAnswer: x**(-30713\/18585)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -412905 or -412839?\nAnswer: -412905","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1763128 to the nearest integer?\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 3 = 2. Let u = 4 + x. Suppose -84 = -u*n + r - 10, 0 = -3*n - 3*r + 90. Calculate the remainder when n is divided by 10.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, -7\/10, 2\/3, 19.\nAnswer: -7\/10, -0.2, 2\/3, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 524 minutes after 5:24 AM?\nAnswer: 2:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 4, -5, 154\/3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -44 - -120. Let f = t - -159. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 85*b - 70*b + 60 = 0 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 17379202 a multiple of 1290?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -11524592, -11524598, -11524604, -11524610, -11524616?\n\"Answer: -6*x - 11524586","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -9737 (base 15) to base 4.\nAnswer: -13310002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1 - -1101011111010001?\nAnswer: 1101011111010000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 70437.05 centuries in months?\nAnswer: 84524460","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -h**3 - 21*h**2 + 46*h. Let n be w(-23). Sort -29, 4, -1, n in descending order.\nAnswer: 4, n, -1, -29","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-39)\/12)\/((-1)\/(-4)). Let j = a + 4. Find the common denominator of 0 + (-1)\/(-13)*24 and j.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4103923 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -77*z**2\/3 - 155*z\/3 - 2\/3.\nAnswer: -(z + 2)*(77*z + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the third derivative of 10*l**8\/21 + 25*l**5\/6 - 344*l**2 + 2. Find the third derivative of m(q) wrt q.\nAnswer: 9600*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v*v*(v*v*v*v**(-2))\/v)**(3\/17)\/(((v\/(v*v\/((v*v*v\/v**(-2\/3)*v)\/v)))\/v)\/(v*v**(-2\/3)*v)))\/(v**(-5\/4)\/(v**(-9)*v))**(-3\/23) assuming v is positive.\nAnswer: v**(5051\/4692)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.8971496 + 78.0905696. Let n = f - 77.07. Let v = n - 0.125. What is v rounded to four decimal places?\nAnswer: -0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.41 + 0.59. Sort g, -2, 0.2 in decreasing order.\nAnswer: g, 0.2, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r = -5*j + 4, 2 = -j - r - 2 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -9*p**3. Let z(v) = -208*v**3. What is 91*o(t) - 4*z(t)?\nAnswer: 13*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Are 336042 and 336042 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:34 PM and 6:17 PM?\nAnswer: 283","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 9 in 2\/25, -0.4, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Are 0.11 and 20 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*n - 7946914 = -41*n + 209097. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = -2 - 3. Let f be 1 + (-4)\/i - -7. Solve -f*j = -9*j + 20 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 3.222?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -4*r + r - r + 5*r. Let z(l) = 2 + 3 - 10*l - 7 - 42*l + 73*l. Give i(z(k)).\nAnswer: 21*k - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.1 + -0.1. Let g = -20 + 21. What is the closest to g in 2, t, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 3*n**2. Let u(b) = -8*b - 6. Let a(o) = 7*o + 5. Suppose 6 = 5*c - 24. Let h(m) = c*a(m) + 5*u(m). Determine h(s(d)).\nAnswer: 6*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0\/(-1) + (-3 - -1). Let t = w + 1. Put 0, -3, t in increasing order.\nAnswer: -3, t, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 20 - 11. Suppose 3*n - 112 = b, 0 = -3*n - g*b + 4*b + 142. Suppose 2*d + 3*d + 31 = 3*s, n = 3*s - 3*d. What are the prime factors of s?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2601*b - 12 = -2602*b + 4*v, -4*v = -5*b + 28 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*x + 0*x - 2*x**3 + (-27*x + 54*x + 26*x)*(-x**2 + 0*x**2 + 3*x**2).\nAnswer: 104*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b**(3\/4))**(-1)\/(b**(-2\/27)\/(b**(-3\/4)\/b)) assuming b is positive.\nAnswer: b**(-185\/54)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.1795 - 0.0205. What is the nearest to r in 4\/3, -5, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41 + 164 = 5*t. What is the remainder when t is divided by (-23)\/(-1) - (-12 - -14)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (n + 4*n - 4*n)*(3*n**2 - 5*n**2 + n**2) + 3*n**3 + 4*n - 4*n - 2*n**3 + 3*n**3 + n**3.\nAnswer: 4*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1379? (a) 1.4 (b) 0.052 (c) 1\/7 (d) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(171) - 2*(sqrt(171) + (sqrt(171) - sqrt(171)*2)))\/(-4*(-2*sqrt(9) + sqrt(9))).\nAnswer: sqrt(19)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 618 and 29002.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 4538, -1, -0.03, 4, 2, 0.43?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1021 + 2365 = -192*z - 2688 for z.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*o - 2*o + o)*(2 - 5 + 2)*(8*o**2 - 8*o**2 - 6*o**3)*(-2*o - 1 + 1).\nAnswer: -12*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f\/(f\/((f**(-12\/11)*f)\/f)))\/(f\/f**(11\/2)))\/(f*f\/(f\/(f\/(f\/(f*f**22))))*f**(6\/7)\/f))**(4\/31) assuming f is positive.\nAnswer: f**(-6298\/2387)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1 + -1. Let q = 197 + -199. Put r, 0.3, q in descending order.\nAnswer: 0.3, r, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - (10 - -2) - (58 - -9 - 79).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(2\/(-24))*(-159)\/477.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 88*f + 24. Let n be u(10). Suppose -2*l - 5*h = -749, 608 + n = 4*l - 4*h. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -204 and -1.4.\nAnswer: 285.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1 + -2. Let f = -1 - j. Let g = -153 + 156. Solve f = 2*q + 4*b - 14, 3*q - 2*b - 16 = -g*b for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.5, -2\/15, 4171, -0.8?\nAnswer: 4171","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 1254091, 2508644, 3763197, 5017750?\n\"Answer: 1254553*i - 462","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 q when three letters picked without replacement from {q: 6, g: 1, f: 8}.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 11335216?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = 3*t, -2*t = -3*r - 6*t - 6. Solve -i + 2 = -r*i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = 5*q + 57 - 18, -2*q = -4*k + 54. Suppose 62 = k*b - 226. Is b a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 88697.3 years in decades?\nAnswer: 8869.73","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0477632 to four dps.\nAnswer: -0.0478","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5875 - -323113\/55. What is the second smallest value in 4\/9, c, -2, 3?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pu when two letters picked without replacement from {f: 2, t: 1, m: 2, q: 1, u: 1, p: 2}.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -5*v + 2. Let c(f) = -15*f + 8. Let m(d) = -3*c(d) + 8*o(d). Let t(h) = -6*h + 9. Give -4*m(b) - 3*t(b).\nAnswer: -2*b + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(5\/2)\/v**(1\/5))**(-2\/21)\/((v**(-1\/4)*v**(-5\/3))\/(v**(-3)*v**(-2\/23))) assuming v is positive.\nAnswer: v**(-13421\/9660)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 198514752?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 0.0918 times 418\nAnswer: 38.3724","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = 2*p. Let g = 18 + p. Suppose 0 = 3*y - y - g. What are the prime factors of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1643831 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 38\/(-57) + 18272\/39. Let z = t + -468. Which is the closest to 5\/3? (a) -2 (b) -2\/11 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-p - 1 + 1)*(-1 + 11 + 3) + 6*p - p - 3*p.\nAnswer: -11*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 33*p**3 + 490*p**2 + 10*p - 1148124 with respect to p.\nAnswer: 99*p**2 + 980*p + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -8\/5 (b) 1.9 (c) -69 (d) 9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -51 - -31. Let i = m + 22. Is i a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence shh when three letters picked without replacement from {h: 2, s: 3}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.076 + 0.0661. Which is bigger: m or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14713 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 36 - 77. Let f = 52 + y. Calculate the least common multiple of 6\/(-1)*9\/(-6) and f.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 4 + 1)*(y**2 + 4*y**2 - 4*y**2)*(21*y + 4*y + 7*y).\nAnswer: 96*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 - (5 - (-10 + 3)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6461 and 287833.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 5*b. Let n(g) = g - 1. Let m(p) = 6*n(p) - q(p). Suppose -4*z = -3*z - 6. Let r(h) = 1. Let t(k) = z*r(k) + m(k). Let i(s) = 2*s. Calculate t(i(j)).\nAnswer: 2*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 1, i: 2, d: 1, k: 1, w: 1, u: 1}. What is prob of sequence hkdu?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 123486 is divided by 54.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 283*c - 285*c = 362587, c = -5*h + 604316. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 44735 to the nearest integer?\nAnswer: 212","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*f**4\/4 + 1920*f**3 + 1352382*f**2 + 154231440*f + 303068700 = 0. What is f?\nAnswer: -1210, -138, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 times 273\nAnswer: 81.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3521*m**3 - 66 - 265*m**3 - 64 + 130.\nAnswer: -3786*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -60 - -72. Suppose -10*i + 6*i = -n. Suppose 0 = i*f - 41 - 217. What is the units digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -765.8 - -766. What is the closest to 7\/5 in -4, -1, j, 3?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 95878967 to the power of 1\/2, to the nearest integer?\nAnswer: 9792","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 456 - 448. Solve -l + r = l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((31610\/638)\/(-109))\/(1*3\/(-3))\nAnswer: 5\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 2 = -5*l - r, -3*l = 2*r. Find the second derivative of -9*u**2 - 6*u - 2*u - u**l - 3*u**2 wrt u.\nAnswer: -26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 131453 and 4984?\nAnswer: 623","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(2) + (sqrt(18))**2 + -2 + -1 + sqrt(50) + -2*(sqrt(2) - (2 + sqrt(2))))*-6.\nAnswer: -114 - 36*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-12)\/(-24)*-12 + 1*651.\nAnswer: 3, 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3.54 - 0.06. Which is bigger: q or 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -21 by -15.\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) be the third derivative of -k**5\/20 - 122*k**2. Let s(m) = 6*m + 11. What is s(x(q))?\nAnswer: -18*q**2 + 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1329 + -1086. Put c, -1, 2\/5, -2 in increasing order.\nAnswer: -2, -1, 2\/5, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 142528 by -1088.\nAnswer: -131","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 104740?\nAnswer: 2, 5, 5237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1520 and 472.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z - 2*z = -2*w - 10, 0 = -4*w + 2*z - 10. Suppose o - 7 - 30 = w. List the prime factors of o.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 689 minutes after 10:32 AM?\nAnswer: 10:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1191999, -1191995, -1191991, -1191987, -1191983, -1191979?\nAnswer: -1191975","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1247*l = 1299*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 3*c - 6 = 2*c, c = -3*y - 18. Let v be 3 - 3 - y - -1. Suppose -648 - 689 = -v*z. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -877, 0.441, -6\/5?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 149054?\nAnswer: 2, 74527","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*v + 3*q - q + 30, -2*q - 5 = -v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -10*n**4 + 56*n**3 + 2328*n**2\/5 - 7616*n\/5 - 36992\/5.\nAnswer: -2*(n + 4)**2*(5*n - 34)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + -2 + (-7 - -11) + 0.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1391943 + 1391943.0999997. Let b = -0.2 - -0.1. Let q = b + m. Round q to seven dps.\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the second derivative of 0 - 1\/40*w**6 - 3\/40*w**5 + w + 3\/16*w**4 + 1\/2*w**3 - 3\/2*w**2. Find o such that d(o) = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 16) to base 4.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -r + 1. Let p be l(-1). Suppose -2 = p*x - 3*x. Suppose k - x = 1. Calculate the lowest common multiple of k and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 5, -42, 6, -1, -17 in decreasing order.\nAnswer: 6, 5, 4, -1, -17, -42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*v**2 + 24*v**2 - 10*v**2)*(4 + 182*v + 5 - 9 - 1181*v).\nAnswer: -20979*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 11) in base 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 322239 and 2097.\nAnswer: 699","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 16\/9 + -2 + (-1520)\/(-360) + -4. Factor 4*x**2 + y - 16\/5*x - 4\/5*x**3.\nAnswer: -4*x*(x - 4)*(x - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*p**3 + 39*p - 83*p + 44*p + 14695*p**2 - 14695*p**2.\nAnswer: 3*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 918, 1798, 2674, 3546?\nAnswer: 4414","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21618?\nAnswer: 2, 3, 1201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/((-9)\/4))\/(50\/(-5))?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = 2*v - 4*v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -12428*a + 13397. Calculate m(1).\nAnswer: 969","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h - 3 = 2*m, -2*m + 6*m - 5*h - 29 = 0 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-29)\/i*i)\/(i\/i**14)*i*i**21*i**(9\/7)\/i assuming i is positive.\nAnswer: i**(44\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 454*t - 461*t = -23261. List the prime factors of t.\nAnswer: 3323","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 19 + (-4)\/(3 - -1). What is the common denominator of 81\/8 and (3 - 125\/m) + -3?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -33, -33, -19, 15, 75, 167?\n\"Answer: b**3 + b**2 - 10*b - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 8439, 8309, 8179, 8049, 7919, 7789?\n\"Answer: -130*b + 8569","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = -b - 5. Let p be b\/(-1 - 18\/(-15)). Which is smaller: p or 2?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*q + 73*q = 32*q - 355 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the second derivative of -2*n**3 - 10*n - 3. Let u(z) = 3*z. What is d(u(f))?\nAnswer: -36*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -378286498 rounded to the nearest one hundred thousand?\nAnswer: -378300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 82404 divided by 1308?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.58615 + -1.035. Round h to three decimal places.\nAnswer: -0.449","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = i**3 - 3*i**2 + i - 1. Suppose -3*v + 18 = 3*k, 0 = 2*k + 3*k - 20. Suppose v*w = -2*d + 3*w + 9, 5*d = -5*w. Calculate b(d).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 91 + -93. Which is the nearest to 0.04? (a) s (b) -0.5 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 0*w = 396. Let x be (5 - -1)\/((-6)\/(-45)). Let p = x + -27. What is the greatest common divisor of w and p?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(3\/5))**(-44)*(l*(l\/l**(-1\/31)*l)\/l)**14 assuming l is positive.\nAnswer: l**(318\/155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1271796092 - -43.038.\nAnswer: 1271796135.038","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hk when two letters picked without replacement from {h: 3, f: 2, k: 4, b: 1, u: 1, q: 1}?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 85744 and 1435568.\nAnswer: 368","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 191810913?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -6028872, -6028871, -6028870, -6028869?\n\"Answer: l - 6028873","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -7*1\/(-7)*(-1 + -4). Put 1, -25, t, -1, 6 in decreasing order.\nAnswer: 6, 1, -1, t, -25","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 2\/5 (b) 3\/7 (c) -1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1\/46, 2\/9, 7, -0.13, 1, -0.4, 2\/3?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3\/15055 or -1?\nAnswer: -3\/15055","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 9*t - 11. Let k(b) = b**3 + 9*b**2 - 8*b + 8. Let s be k(-8). Let x = -133 + s. Let w(a) = 5*a - 6. Give x*h(p) - 5*w(p).\nAnswer: 2*p - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1 (b) 1044 (c) -4\/7 (d) -32 (e) -0.5 (f) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1267585 is divided by 316894.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -176, -32, 376, 1186, 2536, 4564, 7408?\n\"Answer: 23*k**3 - 6*k**2 + k - 194","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5, -80, -297, -728, -1445, -2520, -4025, -6032?\nAnswer: -8613","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1044\/(-6))\/58*31\/3.\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 562 + -559 + (7 - 0)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*r**4\/3 - 523*r**3\/3 - 1847*r**2\/3 - 2117*r\/3 - 265 = 0. What is r?\nAnswer: -3\/2, -1, 265","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -463987 - -60357. What is o rounded to the nearest one thousand?\nAnswer: -404000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(4\/9))**(2\/3)\/(((d*d**21)\/d)\/d**(5\/6)) assuming d is positive.\nAnswer: d**(-1073\/54)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = z**2 + 43*z - 403. What is the remainder when 38 is divided by u(8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -843, -4, -50 in descending order.\nAnswer: -4, -5, -50, -843","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(4 + sqrt(1700)*1).\nAnswer: 4 + 10*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -78 = -2*g + 3*n, g - 2*n - 41 = -3. Let k be (-12 + 3)*14\/(-2). What is the greatest common factor of k and g?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.58774 rounded to two decimal places?\nAnswer: 9.59","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 14648499 and 13020888?\nAnswer: 117187992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 9865511 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 + (0 - (14 + -21))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 66 and 1024852?\nAnswer: 33820116","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -38385*f**3 - 97363*f**3 - 12776*f**3.\nAnswer: -148524*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + 0 - (-1 - 3).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 367943413 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-66)\/6 + 1*-2. Let o = -3 - l. What is the lowest common multiple of 1 and o?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -51122 - -325?\nAnswer: -50464","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 70 and 50?\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 22064458*h**4 - h**2 + 162*h + 45869.\nAnswer: 529546992*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 159*f - 1. Let l be n(1). Suppose -d = -5*p + 373, 2*p + 4*d = -0*p + l. Is p a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 3*u = -80. Suppose v - 4*h - 7 = -1, -3*v = 5*h - 18. Calculate the least common multiple of v and u.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-6\/7)*v\/(v\/(v*((v**(2\/9)\/v)\/v*v)\/v)*v))**(8\/3)\/((v\/v**(1\/2))**6*v**(2\/7)*v*v**(-5)\/v*v) assuming v is positive.\nAnswer: v**(-1193\/189)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(104)\/sqrt(4)*5)\/sqrt(2) - ((-1*sqrt(325) - sqrt(325)) + -3)) + -1)*1.\nAnswer: 2 + 15*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*g = 3*g + 2*a + 17, 2 = -g + 3*a for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 807 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -4 (b) 2\/9 (c) -2 (d) 3482\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2106*v + 35 = -5*d + 2110*v, -2*d + v - 11 = 0 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 154 minutes after 11:40 PM?\nAnswer: 2:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 126559437?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 11759?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 2*b - 16. Let z be v(5). Let q(t) = -2*t**2 - t - 2. Let h be q(-2). Let x = z - h. Let n(a) = -a**3 + 1. What is n(x)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 488 minutes before 1:57 AM?\nAnswer: 5:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 52307958?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -5 + 125138?\nAnswer: 125133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.148 - -0.338. What is the second biggest value in s, -0.4, -1\/2, 2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 27322 and 107692?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -4*n. Let k(g) = 6*g**2 - 2*g + 882. Let h(r) = 4*r**2 - r + 1. Let z(f) = 2*h(f) - k(f). Calculate b(z(m)).\nAnswer: -8*m**2 + 3520","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 3\/4, 19, -12\/11, -2?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jkj when three letters picked without replacement from {j: 3, u: 9, a: 5, k: 2}.\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 26.06218 - 0.06218. What is the fourth biggest value in 3, f, -11, 0.2, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 3*y**2 - 3*y - 3. Let s be x(-2). What is the third derivative of -s*l**4 + l**4 - 3*l**2 + 4*l**2 - 15*l**2 wrt l?\nAnswer: -336*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 490*n**2 - 101*n**2 - 483*n**5 + 480*n**5 - n**6 wrt n.\nAnswer: -120*n**3 - 180*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 34 + -58. Let d be ((-6)\/1)\/((-15)\/10). Let c be (4\/z)\/(1\/d). Which is smaller: c or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 486 and 1512.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 34*l + 145 - 77 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15594?\nAnswer: 2, 3, 23, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kttk when four letters picked without replacement from {t: 3, q: 3, k: 3, j: 2, s: 1, n: 3}.\nAnswer: 1\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60*w = -2499 + 2439. Let v be (4\/78)\/((-4)\/(-6)). Which is smaller: v or w?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -5\/2 (b) 2\/263 (c) -5 (d) -4 (e) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11 - 10000010100000111100100101?\nAnswer: -10000010100000111100101000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 1171 divided by 6\nAnswer: 1171\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 46\/3 + -15. Suppose y - 12 = -3*y. Let w = -2 + y. Is w at most as big as k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2090b8 - 2c?\nAnswer: 20908a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.01 take away 1226?\nAnswer: -1228.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + ((sqrt(1700) + 4 + 6*sqrt(1700))*5*1*-2)**2)*6.\nAnswer: 336000*sqrt(17) + 49989606","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 144 and 240?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -16962, -36309, -55660, -75015, -94374?\n\"Answer: -2*k**2 - 19341*k + 2381","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1534501 + 41?\nAnswer: 1534542","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -100*m**5 - 804594*m**4 - 74911492*m**2?\nAnswer: -6000*m**2 - 19310256*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 172 - 194. What is the units digit of (-3854)\/b - (-24)\/(-132)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2324*z = -1233*z - 1186*z. Factor 57\/2*j**2 + z*j + 30*j**3 + 0 + 3\/2*j**4.\nAnswer: 3*j**2*(j + 1)*(j + 19)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00218638176 to 7 decimal places.\nAnswer: 0.0021864","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*p**3 - 1029*p**2.\nAnswer: -3*p**2*(p + 343)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 4*z. Let w(i) = -4*i. Let l = 35 + -33. Suppose -4*m = -10 - 2. Give l*w(c) + m*a(c).\nAnswer: 4*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1403 is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 313 minutes before 9:16 PM?\nAnswer: 4:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/(c*c*c**17))\/c)**(1\/13) assuming c is positive.\nAnswer: c**(-19\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*b + 3*b + 46*b**2 + 81*b**2 + (2 - 2 - 2*b)*(3*b + 2*b - 7*b).\nAnswer: 131*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 396279 to the power of 1\/7, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(10\/(-120)*-66).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 70 = 10. Calculate the remainder when 34 is divided by c.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1403*x**6 + 71*x**2 - x - 15 wrt x.\nAnswer: -168360*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 89212*j + 535256. Determine l(-6).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -3815365+0.5\nAnswer: -3815364.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 104 - 101. Suppose -p = 4*q + 8, -2*p - f*p + 2*q + 4 = 0. Suppose 5*d - h - h = -8, p = -3*h + 12. Solve 0 = r + 3*s + 9 - 4, d = 3*r - 2*s + 15 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, o: 3, a: 2, y: 2, z: 6, q: 4}. What is prob of picking 2 a?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -47*q - 14 + 9*q + 7 + 4. List the prime factors of j(-3).\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 143*t**2 - 266*t - 56. Give b(2).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -69*u + 12*b + 282 = -67*u, -3*u = 2*b + 37 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 25701*p**2 - 6*p. List the prime factors of k(1).\nAnswer: 3, 5, 571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 bigger than 4\/37475?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/(-4)*(0 - -4). Suppose l*i + 0*i - 4 = 0. Let b = 11 - 15. Sort 3\/7, b, i.\nAnswer: b, 3\/7, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2066, 4134, 6216, 8312, 10422?\nAnswer: 12546","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 394 a factor of 2539638108?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*q + 888 - 928 for q.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-8)\/30)\/((-6)\/30). Let i(x) be the first derivative of k*x**3 + 1 + x**2 + 0*x. Let v(f) = -f**2 - f. Give -i(c) - 2*v(c).\nAnswer: -2*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3 - 33\/12 - (-18039999)\/4. What is v rounded to the nearest one million?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2321 - -222210?\nAnswer: 231131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 56199015?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6330*a - 77442 = 270708 for a.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -32 + 41. Differentiate -496*k + 28*k**4 + 496*k + 1 + y wrt k.\nAnswer: 112*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -102011 (base 3) to base 16.\nAnswer: -12d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1010001011 (base 2) in base 12?\nAnswer: 463","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -111111110001 (base 2) to base 16.\nAnswer: -ff1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 0*u = u - 3, -3*u = 0. Is -2 + 55 + m*9\/3 a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.26 or 260?\nAnswer: 260","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 52 - 55. Let k(w) = -2*w**3 - 3*w**2 + w - 1. Let a be k(b). Is 27 greater than or equal to a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-19)\/((r*r**23*r)\/r))\/(r\/(r*(r**(-10\/7)*r)\/r*r)*r)**(-23))**(-1\/4) assuming r is positive.\nAnswer: r**(71\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -85.23 - -85.19047. Let i = 0.04 + m. What is i rounded to four dps?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 603783 is divided by 2862?\nAnswer: 2763","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14561.9*-0.4.\nAnswer: -5824.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -40*l**3 + 18*l**3 + 19*l**3.\nAnswer: -3*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -4 + 2*q - 2 - 6. Calculate the least common multiple of 13 and b(11).\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/13 (b) -1381 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v and 1 w when three letters picked without replacement from oyfofvwvwffovvooo?\nAnswer: 3\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 2*f - 6 = 0, 0 = 2*y - 7*y - 5*f - 15. Let k(p) = -5*p**3 + 4*p + 1. Let l(w) = -9*w**3 + 7*w + 3. Let a(c) = -7*k(c) + 4*l(c). Calculate a(y).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(102)\/(sqrt(6)*-4*6).\nAnswer: -sqrt(17)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -161283 = 59*p - 170*p. What is the thousands digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*s**2 - 3*s**2 - 3*s**2)*(-17*s**2 + s**3 + 17*s**2) + (-2 + 2 - 2)*(s**5 - 2*s**5 + 0*s**5).\nAnswer: s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - 3 - -2) + -1104 + 1068.\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -o**3 - 5*o**2 - 7*o + 8. Let g be k(-5). Let m be (-59)\/(-2) - (-15)\/(-10). Let p = m - -58. What is the greatest common factor of g and p?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = g**3 - 8*g**2 + 3*g - 1. What is p(7)?\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -12978325, -1\/4, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(1008) + -2 + 1)*-3 - (2 + -2 + (sqrt(1008) - (sqrt(1008) + 0 - sqrt(1008))) + -4))**2.\nAnswer: -4992*sqrt(7) + 170608","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 527 and 908956.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -u**3 - u**2 + 1. Let c(j) = -3*j**2 + 1. Let f be c(-1). What is the lowest common multiple of d(f) and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z + 5*h + 18 - 8 = 0, 0 = -2*z + 5*h for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5834, 11671, 17508?\nAnswer: 23345","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 751696786 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 697 a factor of 10376936?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -201 - -200.999865. Round n to six dps.\nAnswer: -0.000135","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -136 - -138. Solve -4*x + q*n = -n - 6, 2 = 5*x - n for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -180 - -180. Solve r = a - 4 + 9 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = -n + 7, 0*d + 5*d + 4*n = 35. Solve 0 = -k + z - 4*z + 3, k - 2*z = -d for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -q + 2. Let f be i(3). Suppose 11 + 4 = 5*y. Suppose u = 5*a - 0*a + 17, -5*u - 27 = y*a. Put u, f, -2 in ascending order.\nAnswer: u, -2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/z**1)**(-13\/4)\/(z**(-2\/3)*z)**(2\/27)*(z**8\/z**5)\/((z*z**3*z)\/z*z**(-3\/7)*z) assuming z is positive.\nAnswer: z**(-905\/567)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gatt when four letters picked without replacement from taghgtgtghgathh.\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2656346?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 345234 (base 10) in base 16?\nAnswer: 54492","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5334220?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 - (-83 + -9 + 12 + -2 + -5 + -3)?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*i**5 - 90*i**4 + 186*i**3 - 94*i**2.\nAnswer: -2*i**2*(i - 1)**2*(i + 47)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -2948, -2951, -2954, -2957?\n\"Answer: -3*h - 2945","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 + m)*(3*m**4 + m**4 - 2*m**4) + 4*m**5 - 6*m**5 + m**5 + 3*m**5 - 3*m**5 + 2*m**5 + (-8*m**3 - m**3 + 6*m**3)*(2*m - 2*m + 2*m**2).\nAnswer: -3*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 45\/20 + 3\/4. Suppose 1 = -g*b + 7. Suppose 34 = 7*d + 10*d. Solve d = -b*k + 8 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -i**3 + 10*i**2 + 92*i - 812. Let c be z(12). Solve t + 52*s = 53*s - 4, c*t - 14 = -2*s for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 7, y: 9}. Give prob of picking 3 y.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*c - c = -369. Let d(v) = v + 13. Let g be d(-8). What is the remainder when -1 + 3 - (-105)\/g is divided by c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -97 take away -86326?\nAnswer: 86229","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 329\/13 = 3\/206?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is a832 - 54?\nAnswer: a7bc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, 1, -3\/5, 144, 1940 in decreasing order.\nAnswer: 1940, 144, 7, 1, -3\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.01 (b) 0 (c) -4 (d) -2\/21 (e) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 1.52, 261\/2, 0.5, 2\/21 in decreasing order.\nAnswer: 261\/2, 1.52, 0.5, 2\/21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0 + (6\/5 - 1). Let d = 2\/73 + 67\/219. Which is the biggest value? (a) d (b) 2 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1305428, 2610820, 3916206, 5221586, 6526960?\n\"Answer: -3*y**2 + 1305401*y + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q*q**(-2)*q)**31\/(q\/(q**(-16)\/q*q)*((q*q**(1\/25))\/q)\/q) assuming q is positive.\nAnswer: q**(374\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, q: 2, u: 1, v: 2}. Give prob of sequence uv.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -8 - -8.3. Let v be (3 + 125\/(-35))\/(4\/(-14)). Let b be 1\/(v\/5)*(-1)\/(-5). Put a, b, 6 in increasing order.\nAnswer: a, b, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10351735?\nAnswer: 5, 967, 2141","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d when two letters picked without replacement from {y: 1, b: 1, o: 1, d: 2}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e, 1 o, and 1 i when three letters picked without replacement from {i: 3, o: 5, e: 4}.\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (-12 + 25 - 15*m**2 - 11)*(-3*m**2 + m**2 - m**2 + (2 - 4 + 4)*(m**2 - m**2 + 4*m**2)) in the form s + d*m + a*m**2 + u*m**3 + y*m**4 and give a.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 916\/39 + -1426\/39. What is the third smallest value in -2, 1, y?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the third derivative of -47*f**4\/24 - 5*f**3\/6 + 27*f**2. Let k be h(-2). What are the prime factors of 1\/(4\/8)*k?\nAnswer: 2, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 13*l + 2*j + 132 - 77, 22 = -l - j for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*u = 39*u - 3. Solve 3*z = -5*y - 11, -y = 4*y - 4*z - u for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 998 - 3?\nAnswer: 995","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -8*t - 1. Let b be (-27)\/(-6)*(-190)\/(-171). Let z(r) = -4*r - 1. Calculate b*z(x) - 2*i(x).\nAnswer: -4*x - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -a**3 + 1. Let o be b(0). Suppose -5*w - 4*k - 16 = 3, -k - 7 = 2*w. Put w, 5, o in ascending order.\nAnswer: w, o, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d*d*d**(1\/6)*d)*d**(1\/4))\/(d**(-1))**38 assuming d is positive.\nAnswer: d**(433\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1 - 1. Suppose f*w + 16 = 2*w. Calculate the smallest common multiple of w and 8 - ((-4 - -28) + -18).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0 - -4. Suppose 0 = -3*l - 9, -l - 19 = -4*v - n. Suppose v*g = -g + 2*f + 48, 3*g - 4*f = 26. Does 7 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 191002?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.4 + 0.3. Let f = 1 + -1.3. Let o = h - f. Sort 0.1, o, 4\/3 in ascending order.\nAnswer: 0.1, o, 4\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 2 + 0)*(8*y - 2*y + 8*y) + y + y + 0*y - y + 0*y - 4*y.\nAnswer: -59*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-9)\/80)\/(114\/437*(-23)\/(-10)).\nAnswer: -3\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j\/(j\/((j**(-3)\/j)\/j*j)*j))**(-3\/4)*j**(3\/7)\/j*j**3)**(-37))**28 assuming j is positive.\nAnswer: j**(-6401)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7, 26, 57, 100, 155, 222, 301?\nAnswer: 392","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 8 = 4*s, -4*t + 1 = -s - 4. Suppose 0 = -3*o - 2*o - 15. Which is greater: o or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/18*(10\/(-2))\/10?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fffefmmmmfefee. Give prob of sequence efff.\nAnswer: 20\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 122520000 rounded to the nearest 1000000?\nAnswer: 123000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pfff when four letters picked without replacement from ffpppffpff?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-20)\/(-12)*(-24)\/(-5). Let w(o) be the first derivative of 8*o**3 - 6*o - n + 3\/2*o**2 + 15\/4*o**4. Find x, given that w(x) = 0.\nAnswer: -1, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29 = 2*p - 21. Let c be p*-3*2\/(-6). Let a = 149 + -49. Calculate the highest common factor of c and a.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve a + 5*m - 16 = -0, 0 = -a + 2*m - 5 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*r - r. Suppose -v + 11*p - 10*p = -80, v + 5*p - 80 = r. Does 34 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*x**4 - 3 + 260*x + x**3 - 79*x - 178*x - 24*x**2 to w*x**2 + y*x**4 + i + h*x**3 + z*x and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 26226 and 51?\nAnswer: 445842","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*b**3 + b**3 - 4*b**3 + 4*b**3 + 11*b**2.\nAnswer: -3*b**3 + 11*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:18 PM and 12:21 AM?\nAnswer: 123","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 4466167 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-9)\/(-3)*176\/6. Suppose -5*c + u + 12 = 0. Suppose -2*g + 2*s = -6, -4*g - s - 3*s = -c. What is the units digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-137 - -122) + (-18 - (17 + -29)).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - (-21 + 23 + 7).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = y**3 + 3*y**2 - 2*y + 2. Let x be t(-3). Let u = 12 - x. Solve 0*j + u*j - 8 = 0 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(2\/9)*p\/(p*p*p\/(p*p**(2\/15)\/p)*p))\/((p\/p**(-2\/7))\/p**(-3))*((p*p**(-6)*p*p)\/(p\/(p*p**(-5))))**31 assuming p is positive.\nAnswer: p**(-80303\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 46 + -30. Suppose -5*y = 5*a + 95, 3*y - 2*a + 76 = -6. Calculate the lowest common multiple of (-4)\/24 - 292\/y and t.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:00 PM and 11:45 PM?\nAnswer: 345","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -14*t**3 + 4*t + 117.\nAnswer: -42*t**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 5722859 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5188 is divided by 1727?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 224 - 230. List the prime factors of -2*a\/(-4) - (-23452)\/52.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 16912 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p**(-3\/5)\/p*p)*p**(8\/3))\/(p\/(p*p**(-4\/7)*p*p))**(-1\/77) assuming p is positive.\nAnswer: p**(34346\/8085)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(2*sqrt(196))\/sqrt(7).\nAnswer: -4*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = -5*n + 82 - 20, -5 = n + 5*i. Let j be ((-4)\/20*-6)\/(3\/n). Sort -4, j, -5 in decreasing order.\nAnswer: j, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11437011401 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.4 (b) -4 (c) 195\/31963\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 159*t = 3*i + 813, -7 = i - 0*t - 2*t + 9 for i.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 860 + -1390. Let h = -11132\/21 - a. Does h = -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 133\/18 and 97\/1928480?\nAnswer: 17356320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in 1, 110, -6, 66, 4, -15?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 1073 - 209 = 0. Let l = r + 242. What are the prime factors of l?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vv when two letters picked without replacement from {d: 1, v: 3, a: 2, k: 1}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -124*i**2 + 2*i - 4. What is t(1)?\nAnswer: -126","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 6\/5 of a litre?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -u**3 - 5*u**2 - 6*u - 5. What are the prime factors of x(-5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a decade in years?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2 (b) 5 (c) 4\/1386475 (d) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1033 in 3\/2, 4, -8, 1784, 0.1?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 25 + -36. Is 11 a factor of r*(-3)\/(-6)*-4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by 23463817?\nAnswer: 3\/23463817","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 3*q - 830 = 0, 2*k - k + 2*q = -159. What are the prime factors of k\/(-7) - 19\/133?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9908241 (base 11) in base 13?\nAnswer: -37b4bb4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 a factor of 265239?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5.977 + -6.077. What is the closest to w in 0.04, -0.1, -4\/9, 4\/11?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1\/(((-3)\/12)\/1). Let d(x) = x**2 - 2*x - 2. Does 11 divide d(n)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 3 and -46731.35306675.\nAnswer: -46728.35306675","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -87\/2336180 and 23\/1804?\nAnswer: 2336180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 123287\/23 + -5359. Let q be (10\/(-6) + 0)*12\/(-10). Is h at most as big as q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -a - 6. Let i be l(-6). Suppose 0 = -d + 4 - i. Find the third derivative of 2*m**2 - 5*m - 4*m**d + 5*m wrt m.\nAnswer: -96*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-2*sqrt(405) - sqrt(405)) + sqrt(405))*-4)**2.\nAnswer: 25920","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 15 - 13. Suppose 0 = 2*w + r*w - l - 393, -4*w - 3*l + 373 = 0. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 332.000000723 - 332. Round j to seven decimal places.\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*u = -8*u - 20. Let g(w) = 2*w**2 + 6*w + 5. Let t be g(-4). Suppose 2*j = v + 2*v + t, -j = -3*v - 11. Sort -4, 3, j, u in ascending order.\nAnswer: -4, j, 3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the second derivative of -7*p + 0*p**3 + 0 - 1\/24*p**4 - 13\/2*p**2. Let n(j) be the first derivative of q(j). Let x(s) = s. Calculate x(n(y)).\nAnswer: -y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) be the second derivative of t**4\/12 + 13*t**3\/6 + 43*t**2\/2 + 21*t - 1. Calculate the remainder when 33 is divided by j(-10).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 8, j: 4, f: 3, x: 1, s: 1}. Give prob of picking 1 s and 2 f.\nAnswer: 3\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2125)\/(-15) - (-3)\/(8 + 1). Let k = -75 + j. Do k and 66 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.0596 (b) -2 (c) -1\/8 (d) 3021\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 122288\/53 + -2307. Let y = -2964036 - -1570934617\/530. Let t = i + y. Find the common denominator of 52\/11 and t.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*v + 22 = -5*v. Let s(d) = -6*d**2 + 2*d + 1. Let u(t) = -t. Let x(f) = -s(f) - 3*u(f). What is the remainder when v is divided by x(1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-6\/5)\/(v*v**(-10\/9)))\/((v\/(v\/((v\/v**(1\/9))\/v)*v))\/(v**(2\/3)\/v)) assuming v is positive.\nAnswer: v**(-14\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5092 + 5090. What is the third biggest value in 6\/7, -0.45, p, -2\/7?\nAnswer: -0.45","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 274*k + 2. Let h be r(2). Suppose 0 = -0*z - 5*z - 3*b + h, 0 = 4*b. Let w = 182 + -160. Calculate the greatest common factor of z and w.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.1, -1046, -2744?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the third derivative of -w**5\/30 - w**4\/6 - w**3\/6 - w**2 + 67*w. What is z(3)?\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*m + 15*m - 5*q = 6328, -3*m = q - 6334. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 115 + -112. Suppose 85 = 9*z - 4*z. Solve 4*w - z = -3*p, f*w = 2*p - w + 2 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = 2*l - 4, -8*l - 2*c = -3*l - 10. Suppose -z = 0, -3*z = 3*v - 2*z - 33. Let u = v + l. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 745642 to the power of 1\/7, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 23 - 55. Let t = -13 - m. What is the remainder when 150 is divided by t?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19 + 1 + 133\/(5852\/(-264)).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 56810 is divided by 54?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101101100 + 101011011111?\nAnswer: 100101110011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uoo when three letters picked without replacement from {o: 3, u: 1, z: 6, v: 5}?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bbbkbbkbkbkbkkbkbbb. What is prob of sequence bbkk?\nAnswer: 77\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out -16904.7 + 1238218774.\nAnswer: 1238201869.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*v - 18 = 16*v. What is the units digit of v + (0 + -8)\/(-2) - -179?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (28\/10)\/((-1)\/(-5)). Suppose 5*h = z + 6. Solve 8*b = -3*c + 3*b + 15, 0 = -h*c - b + 3 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + a**4 - 1 + 2*a**4 - a**3 + a**3 + (0*a**3 - 4*a**3 + 3*a**3)*(-2 + 4*a + 2))*(-2 - 2 - 4).\nAnswer: 8*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -155 = 3*o - 1559. Calculate the highest common divisor of o and 360.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 232504108 is divided by 1297?\nAnswer: 1294","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -i - 4*i - v + 11, 4*v = i - 19. Suppose -i*w + 14 = 2*a - 4, -2*a + w = -2. Is 7\/a + (-4)\/(-6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 82*m = 39*m + 86. Suppose 34 = 32*l + m. Solve -s - 2 = l for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/53818429 at most 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -27477260 + -7745764. Let h = -35223058.0000021 - m. Let n = 34 + h. What is n rounded to 7 decimal places?\nAnswer: -0.0000021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 10*d**2 - 4*d + 5. Let q(p) = 29*p**2 - 13*p + 16. Give -7*h(r) + 2*q(r).\nAnswer: -12*r**2 + 2*r - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*k - 3*k + 2*k)*(122*k + 18*k**2 - 122*k).\nAnswer: 72*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 2*y)*(-211 - 105 - 76)*(-2*y**2 + y**2 + 0*y**2).\nAnswer: 784*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + k - 1)*(-2*k + 7 - 2 - 1).\nAnswer: -2*k**2 + 4*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b - 5*z + 26 = 0, -5*b = -3*b + 3*z - 6 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*g + 38 - 8 = 0. Suppose -3*s + 3*p + 213 = 0, 3*p - 76 = -s - p. Find the second derivative of 0*h**2 + 70*h**5 + 14*h + 0*h**2 - s*h**g wrt h.\nAnswer: -40*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(4\/3)*m)\/(m*m**(-3)*m))\/(m*m**(-16)*m)**(-32) assuming m is positive.\nAnswer: m**(-1334\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 2 + -4 + (-4)\/(-56)*36\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-90)\/(-405)*6\/(-8)*((6 - 8) + -74)?\nAnswer: 38\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 65*n - 245 - 80 = 0. Let v(i) = -i**2 + 5*i. Determine v(n).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 2*d = 20. Let q(b) be the second derivative of b**3\/6 - 2*b**2 + b. Calculate q(d).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -150*z + 5118. Calculate the lowest common multiple of 14526 and d(34).\nAnswer: 14526","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 51*m**3 - 21*m**3 + 72*m**3.\nAnswer: 102*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 0*w**2 - 3 + 5*w + 1 - w**2 - w**2 - w**3. Let f be y(-6). Calculate the greatest common factor of 14 and f.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.05553568 and -0.4.\nAnswer: -0.34446432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4 - 1. Suppose r = 5*r - x - 19, 39 = 4*r + i*x. Solve 2*l + 0*l - r = 0 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2258.5 rounded to the nearest ten?\nAnswer: 2260","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4 - 0. Solve -s = -0*s + z for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -104 - -59. Let z be ((-18)\/o)\/(-2 + (0 - -14)). Let n be -1*(0 - (-1)\/(-1)). Which is bigger: n or z?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17047609?\nAnswer: 53, 61, 5273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-1 - 5)\/(7\/((-72016)\/24))?\nAnswer: 2, 643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.4 (b) -0.3 (c) -1\/4 (d) 386\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(1\/13)*l**(-12\/11) assuming l is positive.\nAnswer: l**(-145\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -i**2 - 2*i - 1. Let h be 1*1*3*(-3 - -2). Let b be a(h). Sort b, 18, -3 in increasing order.\nAnswer: b, -3, 18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -75*u + 42. Let w(n) = 18*n - 10. Let y(b) = -5*s(b) - 21*w(b). Let f(l) = 413*l. Calculate f(y(g)).\nAnswer: -1239*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o, 2 q, and 1 k when four letters picked without replacement from {k: 1, q: 2, h: 4, x: 1, o: 1}?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = h + 3*l - 106, 3*h - 2*l = 159. Suppose -4*n - h = -t, 5 - 46 = -2*t - 5*n. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -95 - -98. Suppose 0 = m - 2*p, 0 = -2*m - q*m + 4*p + 12. Let n(o) = -o - 1. Determine n(m).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-6)\/(-3 + (-21)\/(-9)). Suppose 0 = 3*z - 0*z - q. Suppose -x + z*c = -66, 2*x - 5*c = x + 62. Does 24 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = g**3 - 3*g**2. Let k(n) = -n**3 - 16*n**2 + 6*n - 12. Let q(x) = -x**3 - 32*x**2 + 11*x - 22. Let b(i) = -11*k(i) + 6*q(i). Give -11*a(c) + 2*b(c).\nAnswer: -c**3 + c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 92 - 78. Is 26 a factor of (-6928)\/(-28) + (-6)\/g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -71016 divided by 8.\nAnswer: -8877","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (q - 4*q + 2*q)*(-501 - 4*q + 983 - 264).\nAnswer: 4*q**2 - 218*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 127\/21714 and -67\/1154132.\nAnswer: 38086356","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: What is -3.369 rounded to 0 dps?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 2*r + 5618 = 2*t, 7468 = 4*t - 3*r. What are the prime factors of t?\nAnswer: 2, 5, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 44266 - -360. What are the prime factors of y?\nAnswer: 2, 53, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 1770 = 5*a - 1475, 2*a - 1298 = 2*h. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o + 407 - 593 = -291 for o.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 19584?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 18 (b) 3\/38 (c) 3 (d) -18 (e) 2 (f) 0 (g) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 456849?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = n**2 + 5*n - 7. Let k be u(-6). Let x(s) = s**2 - 2*s - 2. Let v be x(-2). Let a = k + v. Solve 4*c = -5*l - 4, a*c + 0*c + 5*l = -5 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-30)\/40 - (-1)\/(-4)*-3. Sort f, 5, 1.\nAnswer: f, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1729 - 1733 = -k. Factor 0*l**3 + 4\/7*l**k + 4\/7 - 8\/7*l**2 + 0*l.\nAnswer: 4*(l - 1)**2*(l + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 243 and 54?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 28 and 56?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + o = -5, -3*d - 19 = -5*o. Suppose -d*a + 25 = 27. Which is smaller: -1\/37 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -915*j + 66625 + 58528 = -6313*j - 74573 for j.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (396\/1386)\/(-2 + 0)\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 878513 less than 67.50127?\nAnswer: -878445.49873","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 3*n - 2. Let q(b) = -b. Let f(u) = a(u) + 6*q(u). Let k be f(-8). Calculate the highest common factor of k and 154.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -29*z - 22. Let v(r) = 4*r + 3. Calculate -4*v(g) + x(g).\nAnswer: -45*g - 34","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 3, 0.13, 0.8?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2079443 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -273, 0.2, 3\/2, 2596?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1374 is divided by 814.\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*l**3 - 141*l - 270*l - 9*l.\nAnswer: -2*l**3 - 420*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -83.2915346 to one decimal place.\nAnswer: -83.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l*l**(-2\/37)*l**(-3\/29))**(-30) assuming l is positive.\nAnswer: l**(-59310\/1073)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -47361*f - 95755. Give b(-2).\nAnswer: -1033","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 37379416?\nAnswer: 2, 23, 53, 3833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**7*n\/(((n*n**(-3\/2))\/n*n)\/n)*n)\/(n**(-1\/2)*n**(-9)\/n) assuming n is positive.\nAnswer: n**21","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -12 (b) 2\/19 (c) 115\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - 2) + 5 - (25 - (-3 + -1) - 5)?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r**3 - 6*r**2 - 7*r + 3. Let p be g(7). Suppose -p*t + 12 = t. Solve 5*b + m = -10, 3*m - 6 = t*b - 0 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 + 4 + ((-32)\/(-4) - 16)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 101761 is divided by 100861.\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - d**3)*(2 + 2 - 5) + (3*d - d + 0*d)*(0*d**2 - 3*d**2 + 4*d**2).\nAnswer: 3*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 2, 3, 299, -90 in ascending order.\nAnswer: -90, 2, 3, 4, 299","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 40 - 48. Find the common denominator of -16\/21 and (4\/f)\/((-9)\/(-447)*1).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 596 minutes after 8:25 AM?\nAnswer: 6:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 33 + -62. Let m = a - -28. Is -2\/25 greater than or equal to m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 108*k**3 - 1860*k**2 + 404*k + 68.\nAnswer: 4*(k - 17)*(3*k - 1)*(9*k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 65?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (130\/(-910))\/(-13*(-72)\/20748)?\nAnswer: -19\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 10*n - 10. Let o = -47 - -23. Let a be (-13)\/4 - 6\/o - -9. Calculate the lowest common multiple of i(a) and 6.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -h**2 + 3*h + 5. Let y be -11 - 3*(-4)\/(-12). Let b = 13 + y. Suppose 4*z = -3*v - 2*v - 9, -b = z + v. What is w(z)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 61*q + 127*q + 54*q - 14640 = 2*q for q.\nAnswer: 61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3538 (base 9) to base 8.\nAnswer: 5103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -612 = -2*i + y - 577, -11*i - 2*y - 115 = 0 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 - 1 = -2*h - 3*a, -5*h - 28 = -4*a. Sort 5, h, -3 in descending order.\nAnswer: 5, -3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = 12, -4*l - 5*k + 75 = -7*l. Let b = l + 60. Solve -7*s = -s + b for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 216 = 5*c - 509. Let f = 6 + c. List the prime factors of f.\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2475073 is divided by 138?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-seven quarters of a milligram in micrograms?\nAnswer: 11750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5738414?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -31*j - 9. What is the tens digit of z(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 4) to base 2\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2 + 212000210?\nAnswer: 212000201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6.49 + -6.93. What is the closest to 1 in -5, 3, -0.2, j?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by 9500102.\nAnswer: -5\/9500102","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100111110010 - -100011111000?\nAnswer: -11111010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = -0*j. What is the third smallest value in 5, 9, j?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + 2*z + 0 + 4*z - 3*z - 2*z + (4*z - z - z)*(-3 + 4 - 5)*(-2 - 6 - 6) - z + z - 3*z - 2*z - z + 2*z + (2*z - 4*z + 0*z)*(5 + 0 - 4).\nAnswer: 107*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 94183 is divided by 5013?\nAnswer: 3949","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = i**2 - 4*i + 3. Let f(d) be the first derivative of -3*d**2\/2 + 2*d + 82. Give -4*f(s) + 3*u(s).\nAnswer: 3*s**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3 + 18. Suppose -12 + d = 3*c. What is the units digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -296888543.8 + 296888424.7999951. Let b = -119 - q. What is b rounded to 6 dps?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1621471 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.37348 minus -10462?\nAnswer: 10464.37348","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*5\/35*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*m**2 - m**2 - 3*m**2)*(5*m - 2*m - 2*m) + (2*m**3 + 3*m**3 - 7*m**3)*(-3 + 2 - 1).\nAnswer: 2*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kz when two letters picked without replacement from {k: 2, z: 5}?\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = 3*h + 16, 2*o - o + 11 = 2*h. Suppose 9 = 5*v - 6. Solve h*c - 13 = -v*i + 2, -4*c - 3*i = -19 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2418 or 2417?\nAnswer: 2418","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4*3\/18*(-25)\/50.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -149*k - 5*k**2 + 149*k - k**2 as c*k**2 + h*k + v and give c.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -43\/3 and 49*-1*(-9)\/27.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 507301914?\nAnswer: 2, 3, 7, 109, 110813","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 229, -31, -1, 5, 4, 2 in increasing order.\nAnswer: -31, -1, 2, 4, 5, 229","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*t = 14*t + 71. Let o = t - 33. What is the third derivative of f**2 + f**2 - o*f**3 + 37*f**3 wrt f?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 14*v - 2775*v**4 + 97 + 14*v**3 - 16*v - 14*v**3 - v wrt v.\nAnswer: -33300*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -15 - -12.2. Let q = 0.1 - u. Let c = 1.9 - q. Which is smaller: -0.15 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1352836.\nAnswer: 2, 41, 73, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1603353\/4 - 402796. Which is smaller: y or -1957?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 914434.9 nanoseconds in seconds?\nAnswer: 0.0009144349","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sum 16.772 and 2728.\nAnswer: 2744.772","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1473?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1321710, -1321587, -1321464, -1321341?\n\"Answer: 123*l - 1321833","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2 - 3. Let y = -34.289 + 33.889. Let w = -6 + 2. What is the closest to k in w, y, -5?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -308, -3, 1, 6, 3 in ascending order.\nAnswer: -308, -3, 1, 3, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -55 - -13?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4\/14 + (1 - (-103)\/7). Suppose a*o = 5*o + 539. Put 1, o, -2\/5 in descending order.\nAnswer: o, 1, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2\/1255 + -2476\/21335. Let d = -3\/16 - 81\/80. Does f = d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Round 0.00002086721 to seven decimal places.\nAnswer: 0.0000209","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 111 - 11102?\nAnswer: -10221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + -3 - (-86 - -81).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**3\/7 + 219494*w**2 + 590174259980*w\/7 - 1180354665800\/7.\nAnswer: (w - 2)*(w + 768230)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Product of 262859 and 0.2.\nAnswer: 52571.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -2*m**2 - m - 1. Let h(f) = f**4 - 10*f**3 + 29*f**2 - 42*f + 14. Let b(k) = -h(k) + 2*y(k). Factor b(w).\nAnswer: -(w - 4)**2*(w - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 46 = -11. Let p = 61 - y. Suppose 2 = 2*h - 4*s, 5*h + 1 = 5*s - 4. Sort h, -5, p in ascending order.\nAnswer: -5, h, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (2 - 142\/4)\/((-11)\/(-22)). Let c = d + 194. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 22 - 25. Is (w + 0 + 1)\/((-2)\/157) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tgttw. What is prob of sequence twgt?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) be the third derivative of h**7\/2310 - 7*h**6\/110 - h**5\/220 + 125*h**4\/132 + 28*h**3\/11 + 579*h**2. Solve w(b) = 0.\nAnswer: -1, 2, 84","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 11 - -353051545?\nAnswer: 353052000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 bigger than -149\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -1673, -5874, -12635, -21950, -33813, -48218?\n\"Answer: z**3 - 1286*z**2 - 350*z - 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (78*o + 87*o - 181*o)*(-4 + 4 - 2*o**3).\nAnswer: 32*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -135 + 139. Suppose 1 = 3*h - 17. Let s = 6 - h. Put s, 2, x in decreasing order.\nAnswer: x, 2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 482 minutes after 3:21 AM?\nAnswer: 11:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 3283 to the power of 1\/2, to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-14)\/(-5))\/(77\/(-990)).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -10312 - -18464. Suppose 5841 = 7*a - p. Let q = -16021\/8 + a. What is the common denominator of 121\/6 and q?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-9)\/7)\/(99\/(-231)). Solve 0 = -2*x + 1 + 9, 0 = -3*g - q*x + 24 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 27, 8, -25, -66, -109, -148?\n\"Answer: y**3 - 13*y**2 + 13*y + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, 2, -4, -999.94, -2 in increasing order.\nAnswer: -999.94, -4, -2, 0.4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(19) + 2*sqrt(76)))**2*1.\nAnswer: 4275","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 5 (b) -0.1 (c) -5 (d) -37 (e) -13\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 794814047 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: What is 83 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8335 is divided by 709.\nAnswer: 536","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -830 + 832. Solve -4*d + 7 = -2*x - 5, 0 = k*x + 3*d - 23 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.06 + 3.06. Let d be (-25)\/(-15) + (-4)\/6. Which is the nearest to -2? (a) d (b) 0.2 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1947 - -3308. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -35596*-2.855\nAnswer: 101626.58","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2 - -2.1. Let x = -0.1 + -4.8. Let j = x - -1.9. Which is the nearest to p? (a) 0.05 (b) j (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 2 = -4*d - 31, -48 = 5*d + 4*l. Let t(x) = -4*x - 27. Is t(d) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -7*a**3 + 8 + 8 - a + 708*a**2 + a**3 - 706*a**2. Is 18 a factor of w(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 750 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-24051*c + 24051*c + 68*c**2)*(-2*c**2 + 2*c**2 - 2*c**2).\nAnswer: -136*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*b - 3*b - 11*b - 40*b + 52*b.\nAnswer: -6*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -23.09737 + -0.09663. Let f = v + 0.194. Which is the second smallest value? (a) -0.4 (b) f (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1.936 + -1.93975. What is a rounded to three decimal places?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 8069451, 8069450, 8069449?\n\"Answer: -q + 8069452","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.076015883 minus 113?\nAnswer: -112.923984117","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -p**3 + 7*p**2 + p - 3. Let a be o(7). Let q(v) = -v**2 + a*v**2 - 4*v**2. Let i(j) = -3*j. Calculate i(q(c)).\nAnswer: 3*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the first derivative of o - 7129. Let w = -3 - -2. Let k(f) = -f - 3. What is w*k(v) - 6*q(v)?\nAnswer: v - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 187 + -182. Suppose 5*r + 5*u - 19 = 11, -4*u = c*r - 27. Solve -m - r*m - 12 = 0 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/4 of a litre in millilitres?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5912, 47546, 160556, 380630, 743456, 1284722?\nAnswer: 2040116","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (5\/10)\/(10\/(-9820)). Let f = b - -530. Let d be 353*1\/1 + -2. What is the greatest common divisor of d and f?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -2*c**2 - 9*c + 8. Let o(x) = -2*x**2 - 8*x + 7. Let i(v) = -5*o(v) + 4*w(v). Let g(a) = -a**2 - a + 1. Let z = -87 + 85. What is z*i(m) - 6*g(m)?\nAnswer: 2*m**2 - 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**21)**(2\/5)\/(((n**(1\/13)*n)\/n)\/(n*n*n*(n*n\/(n\/n**(-7)))\/n)) assuming n is positive.\nAnswer: n**(281\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*a - 9 = i + 5*a, -4*a = -5*i - 13. Let v(f) = -f**3 + f**2 + f + 5. Let o be v(0). Put 0, i, o in descending order.\nAnswer: o, 0, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*f - 4*m - 18, 5*m + 653 = -3*f + 637 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (0 - -2) + (4 - 5)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 419953036.\nAnswer: 2, 61, 1297, 1327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6537, -1361, 3, 2.\nAnswer: -6537, -1361, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 - (25 - (-14 - -27)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 29985.32t?\nAnswer: 29985320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -10852 + 14479. What is the units digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 42\/5 of a centimeter?\nAnswer: 84","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = m**2 - 10*m + 4. Let o be z(8). Let p = o - -19. Suppose 8 = 5*u - p. Does 3 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 124 = c + 4*d - 2*d, 2*d = -2*c + 256. Is c a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2 - -5. Suppose 5*u = 2*o + 33, 4*o + 12 - 1 = -u. Suppose -31 = -l*a + u. Is a a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 24*v**2. Let r(s) = 14*s. What is h(r(y))?\nAnswer: 4704*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -476\/2483 or 0?\nAnswer: -476\/2483","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 2890*i - 2890*i - i**2. Let r(l) be the second derivative of -13*l**4\/4 - 7*l. Determine r(z(s)).\nAnswer: -39*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -34 times -51?\nAnswer: 1734","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-2\/7)*q*q*q*q**3\/q*q*q*q)\/(q**(-2))**(-2\/43)*q*q**(-8)\/q*q**3*(q*((q*q*q**(-2\/13))\/q)\/q)\/(q**(-5)*q) assuming q is positive.\nAnswer: q**(29220\/3913)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 8 or -485?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 385\/514 in -2, 2, -1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2843\/35904 + -277\/374. What is the common denominator of y and -71\/48?\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:22 AM and 3:18 PM?\nAnswer: 416","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -3*k + 2*k. Suppose 0*p + 5*c - 20 = -2*p, 0 = -p + c + k. Suppose 2*r - p = r. Solve 0*q + r*q + 25 = 0 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.18325276 + -51619?\nAnswer: -51623.18325276","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -11 - -7. Let z = f + 2. Let l = 127.9 - 128. Which is the third smallest value? (a) l (b) 1\/2 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*x**4 - 5*x**4 + 1613*x**2 - 9 + x**6 - 1796*x**2 - 3*x**6 + 8 wrt x.\nAnswer: -240*x**3 - 48*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = -5*x + 5*g + 27, -24 = -3*x + 5*g. Suppose 2*h = -4*y - 2, -3*h = -4*y - y + x. Let q = 13 - h. What are the prime factors of q?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -4 + 5 - 4 + 3*p**2 - 3*p + p**3. Let r be v(-2). Let w = 10 - r. Solve 4*x - 3*k = 9, -w*k = 4*x + 5 + 4 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 42\/5 of a litre?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 944\/330 - (-19348)\/(-6910).\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 38589*g. Let r(w) = w**2 - 24. What is i(r(n))?\nAnswer: 38589*n**2 - 926136","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -332 + 1044. Let c = g - 718.18. Let b = c - -6.17402. What is b rounded to three decimal places?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 9*b - 3*b + 3 + 14*b. Is d(4) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -76 + 30. Let k = -46 - f. Let l = -1 - -1.1. Put k, 5, l in descending order.\nAnswer: 5, l, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3, 4, 15, 42, 91, 168?\nAnswer: 279","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/(780\/91)*5\/((-735)\/63)?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1253 - 1252.3. Are -45 and g nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzpbzbbpzvzzzzzzzxxz. Give prob of sequence pxv.\nAnswer: 1\/1710","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1974 + -3?\nAnswer: -1977","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -14\/7021727 or -1?\nAnswer: -14\/7021727","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-12)\/(-21)*7\/(-10)\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2*f + f + 0*f)*(-f + 2 - 2) - 3*f**2 + 4*f**2 + f**2 - 6*f**2 + 4*f**2 + 6*f**2)*(22*f + 18*f - 15*f).\nAnswer: 175*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 222845?\nAnswer: 5, 7, 6367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 1762965?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -d**2. Suppose -2 = q, -2*q - 73 = 2*x - 19. Let y be (2 + x\/20)*4. Let g(u) = -u - y*u**2 + 7*u + 0*u**2. Calculate g(o(s)).\nAnswer: -3*s**4 - 6*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -10894 - 33\nAnswer: -10927","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*6*((3*(sqrt(363) + 1 + -2)*4)**2 + 5)*-2.\nAnswer: -114048*sqrt(3) + 1887156","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*z + 2*z = -19*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6098 - 6093. Let z be (-1)\/(-2)*(-24)\/78. Let u = 0.5 + -1. What is the nearest to z in 4, u, t?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 101, 182, 269, 380, 533?\nAnswer: 746","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 9 + (11229\/589 - 28)?\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -148*t - 163 = -1199 for t.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.0792 in -0.22, -2\/5, -3, -1\/14, -2?\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 21 = -2*y + 1, 0 = -5*l + 4*y + 19. Suppose l*o - 2*o - 90 = 0. What is the highest common divisor of o and 45?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f = -9*s + 8*s - 10, 2 = -2*f for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (4 - 5 - 102\/(-3)) + 1. Suppose -70 = s*l - 36*l. Let o = l - 21. Does 2 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 37631093 and -4?\nAnswer: -150524372","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 134099, 134435, 134771, 135107?\nAnswer: 135443","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 28 = 4*b, 2*b - 2 = 4*b - c. Let v(w) = w**2 + 6*w - 7. What is the remainder when v(-8) is divided by ((-12)\/10)\/(b\/10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 260761 (base 8) in base 9?\nAnswer: 147256","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b, 2 w, and 1 t when four letters picked without replacement from ktitdtwwbwwi?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 132 + 193. Let k = -320 + p. What is the smallest value in -0.3, -18, k, 1\/3?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -n**2. Let j(s) = 7*s**2 + s + 1. Let p(b) = j(b) + 2*w(b). Let l(d) be the first derivative of p(d). Let q be (-7 + 6)*(2 + -1). Determine l(q).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 54012304 (base 7) in base 11?\nAnswer: 2656776","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 8268417 a multiple of 1489?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 109*s - 333*s + 108*s + 1388 + 151*s**2 + 116*s wrt s?\nAnswer: 302*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jooo when four letters picked without replacement from {o: 3, a: 3, j: 7, e: 1}.\nAnswer: 1\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that 25*k**5 + 1112740*k**4 + 12388355225*k**3 + 143589928370*k**2 + 386098021500*k - 178206480360 = 0.\nAnswer: -22249, -6, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 6. Let s(k) = -1. Let u(f) = -2*b(f) - 11*s(f). Let d(r) be the second derivative of -r**4\/6 + r**3\/6 + 3*r**2 + r. Calculate d(h) + 6*u(h).\nAnswer: -2*h**2 + h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -g**2 - 7*g - 5. Let z be d(-5). Suppose -2*m = 5*h + 1, z*h - 3*m - 4 = 10. Suppose -2*b - 7 = -19. What is the smallest common multiple of b and h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1146 - -1145.97611. Round k to three dps.\nAnswer: -0.024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8 - 0) + 133 - -6?\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 498 and 188466?\nAnswer: 15642678","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 39734203 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Total of -457.7015 and 3.\nAnswer: -454.7015","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 5\/23617 and 26\/9823.\nAnswer: 1109999","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(2*2*sqrt(1375) - sqrt(1375))*5)\/((sqrt(66) - ((sqrt(66)*-3 - sqrt(66))*5 + sqrt(66)))\/((sqrt(216)\/sqrt(4))\/sqrt(9))).\nAnswer: 45*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 9*h - 24. Let k(p) = -3*p + 2. Suppose -5 = 3*j - 4*g, 3*g = -j - 0*g + 7. Let i(x) = j*y(x) + 2*k(x). Differentiate i(o) with respect to o.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-5 - (-42)\/380) + (-2)\/2. Let y = 4\/19 - x. What is the common denominator of y and 2 - (-3)\/(-18)*-134?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1152 - -290.18818189?\nAnswer: -861.81181811","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28 = 28*s - 140 for s.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l - 47 = -5*w, -3*w = -1368*l + 1363*l - 37 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 92*z + 4 + 2*z**2 - z**2 - 91*z. Let y be i(0). Solve 0*x + y = 2*x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 164.35 - 167. Let p = f + 3.65. What is the nearest to p in -2\/3, 0.5, 0.1, -2\/13?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 19824 and 276297?\nAnswer: 1239","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 234 = -0*m. Let s be ((-204)\/(-10))\/(2\/(-20)). Let x = m - s. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -4*t - 4. What is the lowest common multiple of 22 and z(-6)?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -27*h + 85. Let u be v(3). Suppose -u*k + 20*k = 192. Solve -3 = -5*m - q + 3, 4*q = -2*m - k for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = -0*j + 10. Let n(r) = -r**j + 3*r**2 - 3*r**2. Let q(d) = -5*d**2. Calculate n(q(l)).\nAnswer: -25*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + z = -1 - 4, 25 = 5*o + 5*z. Let r(g) = 0*g + 0*g - o*g. Let k(w) be the third derivative of w**5\/20 - 2*w**2. What is k(r(p))?\nAnswer: 12*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 22304047 a multiple of 624?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12 - (10 + (-9 - -7)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -19 - -32. Suppose 12 = -0*w + 3*w, -z = -5*w - 4. Calculate the remainder when z is divided by y.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4442967 and 4266279.\nAnswer: 3681","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5*4\/(-20))\/((-33)\/(-11)).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2986953 rounded to the nearest 1000?\nAnswer: 2987000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 270001 (base 8) to base 2.\nAnswer: 10111000000000001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 114663?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = y**2 - 67*y + 988. Give l(22).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 42 is divided by 22?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -11855, -12018, -12181?\n\"Answer: -163*j - 11692","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 274431250 and 27732.\nAnswer: 4622","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1\/3 - 16\/(-6). Let b be (1\/(-2))\/(o\/(-72)). Suppose 0 = -2*t - 2 + b. Is 5 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from omoomo. Give prob of sequence omm.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -3*k - 1. Let n be w(-1). Suppose n = -2*v + 10. Suppose -v = 4*h + 4. Let o(u) = -u**3 - u**2 + 3*u + 2. Calculate o(h).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 6780.624 nanograms?\nAnswer: 0.000006780624","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 42*c**2 - 39*c + 32. Is t(7) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2536764 at least 2536755?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6\/155? (a) 1\/3 (b) 1 (c) 5\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/34 + (-1160)\/(-6902)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20747809 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.03 in 0.4, -2, -3, 15\/2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -3*z**2. Let c(o) = 19*o - 15. Determine c(g(j)).\nAnswer: -57*j**2 - 15","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vei when three letters picked without replacement from {e: 1, i: 1, v: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Add -23702.285 and 19274.\nAnswer: -4428.285","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o, 1 x, and 2 r when four letters picked without replacement from xoxxxrorx?\nAnswer: 5\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 78213?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 6\/5 of a millennium?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 360 minutes before 3:17 AM?\nAnswer: 9:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -592009*b*k**3 + 840*b*k - b - k**3 - 2*k**2 - 145*k - 1 wrt k.\nAnswer: -3552054*b*k - 6*k - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v + 2*r = 4, -7 = -5*r + 3 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1520 - 38002\/25. Which is the nearest to -2\/5? (a) 2 (b) d (c) 2\/21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*t + 66697 = -83083. What are the prime factors of t?\nAnswer: 7489","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2605 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 36 divide 11337?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -30, -15, 3\/2, 4, -5\/4?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-16)\/(-88) + 102\/44 + -1. What is the smallest value in -1, p, -3.2?\nAnswer: -3.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1589150 is divided by 794565.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.7 - 0.3. Let w(t) = -83*t + 81. Let o be w(1). Which is the fourth biggest value? (a) u (b) o (c) -2\/7 (d) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 2, n: 1, j: 1, m: 2, w: 1}. What is prob of sequence owm?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 28, 58, 70, 58, 16, -62, -182, -350?\n\"Answer: -z**3 - 3*z**2 + 46*z - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 95 - -664. Suppose -u = -6*b - 5*b. What is the remainder when b is divided by 25?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 38 + b - 10 - 8*b**2 - 12 - 19 + b**3 as x*b**2 + o*b + a + r*b**3 and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 5*d**2 + 3*d - 2. Let j(r) = r**3 + 6*r**2 + 3*r - 3. What is 4*h(s) - 3*j(s)?\nAnswer: -3*s**3 + 2*s**2 + 3*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -d + 7. Let f be b(10). Let x be (108 - -1) + (f - -4). Suppose 9*l = 28 + 62. Calculate the greatest common factor of l and x.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -36*a**4*q - 47832*a**3*q**2 - 54078331*q**2 wrt a?\nAnswer: -144*a**3*q - 143496*a**2*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -186 = -4*p - k + 4*k, 4*k = -8. What is the greatest common factor of 15 and p?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2949 or 2946?\nAnswer: 2949","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 5 = 10, -o + 4*c + 77 = 0. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m and 1 v when three letters picked without replacement from cmhcvccycccccccmqmch.\nAnswer: 1\/380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*a + 54 = -11 - 1. Solve 3*h = 3*p + a, -11*p + h = -12*p + 2 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -559 - -562. Suppose 1111 = 5*r + j - 0*j, -f*j = -2*r + 458. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 + (-1 - 0) - (-31 + 31)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -58\/55 and -83\/750?\nAnswer: 8250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-24)\/(-3) + 4*-1. Suppose -i = 4*n + 4*i - 8, 5*n - 10 = -q*i. Solve -n = 4*x - 22 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = b**2 + 1. Suppose 0*w + 4*w = 20. Let c = w - 1. Let h(o) be the third derivative of -o**5\/20 - o**3\/2 + 8*o**2. Calculate c*h(t) + 11*y(t).\nAnswer: -t**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.85264 - 0.14736. What is the second biggest value in 1\/17, -61, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 534*s = 2911 + 1895. Suppose 5*f - 108 = 3*f. Solve -f = -9*j - s for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -487 + 1071. Let j = a + -554. Put j, 3, -1 in decreasing order.\nAnswer: j, 3, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 273 + -257. Solve j + 5*l + y = 0, 7*j - 2*l - 2 = 3*j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14967*5.\nAnswer: -74835","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**0)**(-5\/6) assuming z is positive.\nAnswer: z**(-5\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 times -6883?\nAnswer: 41298","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 o when four letters picked without replacement from {l: 3, o: 17}?\nAnswer: 28\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4 - (-2)\/2) + 2. Let b = y + 6. Solve -b*t - 16 = -t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/t**(-1\/6))\/t**6*(t*t\/(t**(-1)*t))**(1\/17)*(t*t*t**1)**(14\/5)*t**3\/t**5 assuming t is positive.\nAnswer: t**(859\/510)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) 2609476 (b) 1\/4 (c) 3\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 19 - 17. Let p(c) = -7*c**2 + 2*c. Let l(u) = 6*u**2 - 2*u. Let h(v) = a*p(v) + 3*l(v). What is the second derivative of h(r) wrt r?\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -33 + 43. What is the lowest common multiple of d and 16?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -481 - -718. Let w = q + -236. Sort 13, w, 0 in descending order.\nAnswer: 13, w, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1)\/(1*(-1 - 0)). Let c = 1976 + -1968. What is the second biggest value in c, m, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = -3 + 9. Let d be 4 + 8\/p + -4. Let r be (6\/d)\/((-6)\/(-16)). Solve r*q - q = -6 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oo when two letters picked without replacement from {o: 5, v: 2}?\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-118*c**2 - 13*c**5 + 118*c**2)*(-5 + 4 + 0)*(-3 - 1 + 3).\nAnswer: -13*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-588)\/(-56))\/((-6)\/8). Let v be ((-35)\/j)\/(0 - 15\/(-12)). Solve -v*q = -2*l + 4, -5*q - 3 - 1 = l for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 1. Let k(h) = -3*h + 12. What is k(g) - 4*l(g)?\nAnswer: -3*g + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1369910?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5 in 0.009, 5, 2\/5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 503 is divided by (-252)\/15*((-3)\/(-9))\/(10\/(-75))?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 107\/1106 and 39\/6872362.\nAnswer: 542916598","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 6\/9 + 4\/3. Suppose j*i = 11 + 3. Let d(m) = -15*m + 74. Let o be d(4). Calculate the highest common divisor of i and o.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -t**2\/4 - 5*t\/4 - 1.\nAnswer: -(t + 1)*(t + 4)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -65 (base 9) in base 12?\nAnswer: -4b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 j when two letters picked without replacement from jjjsjsjsjwssjwbbjjjs.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*s + r + 2*r - 8, 5*s - 3*r = -2. Suppose s = -g - 3. Put g, -1, 1 in ascending order.\nAnswer: g, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 727252 is divided by 303.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -l**2. Suppose o = -0*y - 2*y - 5, -5*o = 4*y + 13. Let v(b) = 2*b**2 + 0 + 3*b - 2 - 1. Let i(z) = z - 1. Let g(q) = o*v(q) + 3*i(q). Give g(m(c)).\nAnswer: -2*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 11103 (base 6) in base 8?\nAnswer: 3017","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in thirteen quarters of a millennium?\nAnswer: 39000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 31585, 63169, 94753, 126337?\nAnswer: 157921","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 208\/(-35100)*-45*(-6)\/4.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that f**3 - 16*f**2 + 20*f + 400 = 0.\nAnswer: -4, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -90530 divided by 4115\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5 - 3) + (-8 + 5 - (-6 + 1)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = n**2 - 5*n + 6. Let g(c) be the second derivative of -c**4\/6 + c**3 - 7*c**2\/2 - 7*c. Let o(q) = -2*g(q) - 3*t(q). Calculate o(-5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1450139 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -g + 4. Let z be j(-2). Suppose -z*k = -4*k - 10. Suppose -l = -3, -k*s - 6 = 5*l - 51. What is s rounded to zero dps?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5800682.\nAnswer: 2, 2900341","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*q + q - 2190. Let s = 1754 + q. What is the units digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 17*u**2 - 3*u - 19. Is d(-6) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 2*z + 41. Let m be k(-16). Let o(y) be the first derivative of m - 2\/69*y**3 - 8\/23*y + 5\/23*y**2. Factor o(j).\nAnswer: -2*(j - 4)*(j - 1)\/23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 51485285?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 242 - 2. Suppose 3*r + r = -3*a + l, r = -2*a + 60. What is the least common multiple of r and 3?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 292 minutes before 10:25 AM?\nAnswer: 5:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 15.81 + -35.9. Let s = -20 - c. Let z = s + -1.09. Sort z, -0.4, 3 in descending order.\nAnswer: 3, -0.4, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when -16*3\/(-12)*-2 + 116 is divided by 57.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 60*p + 1007 = 407 for p.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1200413 to the power of 1\/3, to the nearest integer?\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 461 is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -4, 0.02, -2\/9, 0, -437?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-k + 87*k + 4*k)*(-2 - 3 + 3)*(5 - 2 + 0)*(4 - 5 - 2*k + 4*k).\nAnswer: -1080*k**2 + 540*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-27)\/15 - -2 - 0. Let l = -95 - -100. Let x = 99.6 - 100. Put r, x, l in decreasing order.\nAnswer: l, r, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -14 (b) -2\/7 (c) 15 (d) 26 (e) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -5*d**2 + 6*d - 6. Suppose -3 = -4*l + 33. Let m be g(l). Let h = -166 - m. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = h**3 + 11*h**2 + 13*h - 7. Let b be g(-6). Suppose b = 2*c + 5*n, 0 = -2*c + 4*n + n + 145. What is the lowest common multiple of 8 and c?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-22)\/(-2) - (-12)\/(5 + -11). What is the remainder when 15 is divided by (3*(-3)\/u)\/((-3)\/33)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*h**4 - 30*h**3 + 40*h**2 + 30*h - 35 = 0. What is h?\nAnswer: -7, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 393776984 a multiple of 136?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 345*f**2 - 154*f**2 - 55*f**3 - 191*f**2.\nAnswer: -55*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 58*c - 23*c - 29*c - 23 + 109. What is o(-13)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the second derivative of 97*w**3 + 1087*w**2\/2 - 2*w - 106. Differentiate s(t) with respect to t.\nAnswer: 582","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 165\/(-9) - (-2)\/6. Let m be ((-10)\/(-3))\/(x\/27). Let z(s) = 6*s**2 + 0*s + s**3 + 3 + 7*s + s - 5*s. Determine z(m).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/7, -197\/33, -0.0508?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -6 + 2 + 0 - (99 + -100 - (-38 - 6))\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -14462921 smaller than 2\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 402209?\nAnswer: 127, 3167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - b = -2*m + 123, 4*m - 164 = -5*b. Factor 3*r**3 - 34*r**5 - m*r**4 + 105*r**4 + 8*r**2 + 6*r**5 - 47*r**3.\nAnswer: -4*r**2*(r - 1)**2*(7*r - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + t = 0, 4*y - 2*t = -4*t. Suppose -18 = 7*w - 10*w. Suppose y = 2*n - 10 - w. Solve -3*h = -2*j - 13, 4*j + n*h + 16 = 4*h for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 138 and 46?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 10 = -2*c, -8*c + 25 = 2*h - 3*c. Suppose h = 2*p - 3 - 3. Is 3 smaller than p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (171 - (-136 + 338)) + (0 - -71)?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11011100 + 1011100?\nAnswer: -10000000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -239261.29 to the nearest one thousand.\nAnswer: -239000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5449 + 5449.000010845. Round o to six decimal places.\nAnswer: 0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -9*(3 - 1\/((-9)\/(-30))). Let k be 1*14 + (2 - 1). Let f(n) = -l + k*n**2 + 0*n**2 + 3. Let o(p) = p**2. Determine o(f(r)).\nAnswer: 225*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) be the third derivative of y**8\/6720 + y**6\/720 + 5*y**5\/24 - y**4\/12 + y**2. Let w(k) be the second derivative of z(k). Is w(0) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 36\/7*x - 2\/7*x**2 - 22.\nAnswer: -2*(x - 11)*(x - 7)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 3 = 0, -9*t + 42 = 9*a - 14*t. Solve -d + 62 = 57, 2*d - a = c for c.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -37*k*x**3*y + 67*k*x**2*y**2*z + k*x*y - 43*x**3*y**2 - x**3*y - 16*z - 4 wrt y.\nAnswer: 134*k*x**2*z - 86*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -296, -137, 22, 181, 340, 499?\n\"Answer: 159*v - 455","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-48)\/(-72))\/(-1 - (-11)\/3). Let s be -4 - -3 - 39\/(-27). What is the closest to o in -3, s, -5?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -139.225 + 0.225. Let r = -139 - u. Which is the closest to 3? (a) r (b) 2\/3 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -93\/4322 and 3\/124.\nAnswer: 267964","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0044727171 to five decimal places.\nAnswer: 0.00447","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 1.2*-36\nAnswer: -43.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -15 + 21. Suppose 3*x + d = 21. Solve -x*y - 3*l - 18 = -0, 3*y = -3*l - 12 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 7 and 58933?\nAnswer: 58933","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8 - 6. Does 5 divide (-1)\/(t*1\/(-10))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-7)\/n**(1\/29))\/((n\/(n*n**(2\/15)*n))\/n*n**(-8)) assuming n is positive.\nAnswer: n**(1348\/435)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 36\/5 - 74\/5*o - 2\/5*o**3 + 8*o**2.\nAnswer: -2*(o - 18)*(o - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -4*n + 4. List the prime factors of f(-15).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 4*f + 96. Let j be h(-21). Calculate the highest common factor of 201 and j.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*(6 + (-17 - -5)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 5 = 6*x. Let b = 48 - 31. Suppose -2*c - 8 = -2*o, o = -4*c + 4*o - b. Sort c, x, -2 in ascending order.\nAnswer: c, -2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -3 and 6932.19.\nAnswer: 6929.19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 444, 456, 468, 480, 492, 504?\nAnswer: 516","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*a**2 - 394*a - 273*a - 233*a + 1209*a - 268*a.\nAnswer: -4*a**2 + 41*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = v - 2*v, 3*w - 5*v = -1 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 902 + 47?\nAnswer: 949","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t\/(t\/(((t\/t**20)\/t)\/t*t*t*t)*t)*t*t\/(t**(1\/9)\/t))**(-3\/10))**11)**(-44) assuming t is positive.\nAnswer: t**(-7018\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (55 + 25*n - 55)*(2275 - 2275 + 587*n) + 6*n**2 - 4*n**2 - n**2 - 3*n**2 + 0*n**2 + 2*n**2 to the form v*n + d + w*n**2 and give w.\nAnswer: 14675","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 11630, 23261, 34892, 46523?\n\"Answer: 11631*m - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 2237484 (base 9) to base 11\nAnswer: 754235","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*r + 480371 = 78338 - 37647. Is r a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1423*k**2 - k**3 - 713*k**2 - 708*k**2 + 8*k + 2 - 3*k to y*k + g + f*k**3 + h*k**2 and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 30 and 48060?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -101110111010000110101 (base 2) to base 16.\nAnswer: -177435","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 172 + -162. Solve -w - r = -8 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 25679? (a) -3 (b) 4 (c) 0.4 (d) -0.05\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dkds when four letters picked without replacement from {k: 1, d: 2, i: 2, s: 1}.\nAnswer: 1\/180","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 863953 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 1659*n**2 - 19*n - 1. Does 13 divide h(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.016 and -29237827409.\nAnswer: -29237827409.016","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 minus 173295639.23?\nAnswer: -173295643.23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 332804187 to the power of 1\/2, to the nearest integer?\nAnswer: 18243","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out -8 * 40.\nAnswer: -320","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -89\/287672 and -39\/20548?\nAnswer: 287672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-72)\/(-42))\/((1\/14)\/((-4761)\/2116))?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 8 and 16.\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*o**3 - 3*o**3 + 6*o**3)*(2*o + 3*o - 3*o)*(0 + 0 - 1)*(-304*o + 276*o - 301*o) + (1 + 5 - 4)*(-o**5 + 3*o**5 + o**5) + 2*o**5 - o**3 + o**3.\nAnswer: 666*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -2*i + 529 - 1834 + 710 + 537. Let q(o) = -6*o - 175. Give 3*q(f) - 8*t(f).\nAnswer: -2*f - 61","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = q**3 + 29*q**2 + 54*q + 10. Suppose 0 = 4*h - 56 + 164. What is the units digit of o(h)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -2\/11, 0.3, 246, 1\/6, 114?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-19*x**3 - 2 + 7*x**3 + 0*x**3)*(-x**2 + 2*x**2 + 2*x**2).\nAnswer: -36*x**5 - 6*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 448*i + 9404. Calculate c(-21).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -709554, -1419122, -2128712, -2838330, -3547982?\nAnswer: -4257674","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from narynnna. Give prob of picking 1 n and 1 r.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is v in 4*v**2\/13 + 34109042*v\/13 + 17054520\/13 = 0?\nAnswer: -8527260, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56 = 14*f - 0. Suppose -41 = -5*t - 4*y, 0 = 2*t - 0*t - f*y - 22. What is the third derivative of -64*n**6 - 53*n**6 + 157*n**6 + t*n**2 wrt n?\nAnswer: 4800*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -43089443 at most -43089441?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) be the first derivative of -113\/2*x**2 - 46 + 0*x + 0*x**3 + 50\/3*x**6 + 0*x**5 + 0*x**4. What is the second derivative of a(v) wrt v?\nAnswer: 2000*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -108 less than -1.234122737?\nAnswer: 106.765877263","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 1\/10 of a millennium?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 0*n = 3*p + 66, -21 = n - 2*p. Let z be (-10)\/n - (-356)\/6. Suppose v - 7 = z. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 4*c + 3. What is the tens digit of (c + (3 - 5))*-24?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyymmymyyymm. Give prob of picking 2 y.\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 173 - 110. What is the greatest common factor of 9 and k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 times -0.69\nAnswer: 3.45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -h**3 + 9*h**2 - 21*h + 8. Let w be u(9). Let k = 453 + w. What are the prime factors of k?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000000418628902 to seven dps.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 429 and 51287379.\nAnswer: 429","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 - (-3 - (13 + (-18 - 8)))?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(17) + 0)*-3 + sqrt(170)\/(sqrt(40)\/sqrt(4)).\nAnswer: -2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -2*c**2. Let h(u) = 3*u**2. Let r(j) = -3*h(j) - 4*y(j). Let t(g) = -2*g**2. Determine r(t(o)).\nAnswer: -4*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -331435240 divided by -5?\nAnswer: 66287048","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 + (-37 - -50) + 7?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 5 = g. What is the remainder when -2 + 84\/2 + g is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5*(266596\/(-880))\/83*(4\/1)\/1?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -1489 at most -64024\/43?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -34.8 + 34.801782. Round y to four decimal places.\nAnswer: 0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -5, 0, 2\/13?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.03373 to 2 dps.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = c**3 - 9*c**2 + 10*c + 28. Let f = -20423 + 20429. Give h(f).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 4*j = -3, 0 = -y + 5*j + 10 + 5. Suppose l - 3*z - y = 0, 0*l - 4*z + 10 = 2*l. Let b = -1 - -6. Calculate the greatest common factor of l and b.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = u**2 + 5*u. Suppose 0 = -4*p + 12, -2*i - 3*i - 33 = -p. Determine t(i).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 721 is divided by 148?\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-19)\/(-57)*(-9)\/3?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -92*d**2 + 854*d + 670. Give v(10).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 k when two letters picked without replacement from rkkkqfzfkkzfkfkfkk.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 18376 + -18358. Solve -2*z + x = 9, -x - 9 = l*z - 14*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -14*r**3 + 31*r**2 - 11*r**3 - 2*r - 17*r**3 + 3*r + 40*r**3 in the form f*r + o*r**3 + v*r**2 + u and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -w**3 + 149*w**2 - 3821*w - 549. Calculate t(116).\nAnswer: 263","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -u**2 - 5 + 3 - 5*u + 1. Let j = 77 + -80. What is w(j)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 23 + 12 = 0. Are 34 and h equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2aa0 (base 12) in base 13?\nAnswer: -238b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 42 - -7. Let r be (-180)\/(-35) + (-7)\/u. Solve r*a - a + 16 = 0 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-617*m - 104*m + 146*m)*(-3 + 2 + 0) + (m - 2*m + 3*m)*(-5 + 3 + 0))*(-3 + 5 - 1).\nAnswer: 571*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -33*v**3 - 5*v**2 - 5*v - 8. Let s(g) = 16*g**3 + 3*g**2 + 3*g + 4. What is 3*p(m) + 5*s(m)?\nAnswer: -19*m**3 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000357411446 rounded to 6 dps?\nAnswer: 0.000036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.05 + 2.05. Suppose -18 - 2 = -4*m. Let u = -0.06 + -3.94. Which is the smallest value? (a) p (b) m (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 308282 to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 3714157 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*z + z + 0*z)*(-2*z - 4 + 4 + (-2 + 1 + 0)*(z - 2 + 2) + 4 - 2*z - 4).\nAnswer: 10*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -y**2 - 3*y + 7. Give h(2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*x + x + 0*x)*(-3 + 6 + 0)*(-x**2 - x + x).\nAnswer: 3*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 34325380 to the nearest 100000.\nAnswer: 34300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1232 * 0.2.\nAnswer: -246.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bhuhubhubbuu. Give prob of sequence huuu.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 748 + 567 = 320*z - 605 for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 42\/189 - (-9698)\/18?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21948598649 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 115 a factor of 241541958?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-32 + 96 + 138)*(-1 - 3 + 1)*(-2*c**4 - 2*c**4 + 2*c**4) to the form f*c + i*c**4 + p*c**3 + g + k*c**2 and give i.\nAnswer: 1212","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -73*v - 1616 = -89*v. What is the greatest common factor of 2222 and v?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (40\/(-80))\/(33\/18).\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (0*(-3)\/12)\/2. Let v be n\/5 - (-3 - 0). Solve v*q = -3*l, 0*l - 2*l = 8 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1)\/1*-6 + -2. Suppose -5*r + 8*r = 0. Suppose s + 2*y - 16 = 0, i*s + 1 = 5*y - r. Solve -3*a = -0*a - s for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*h + 5, -3*d - 5*h = 2*d - 120. Let q be 1\/(d\/(-13) - -2). Let a be 23 - ((-15)\/3 - -2). Calculate the greatest common factor of q and a.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 - -3 - ((2 + -17 - -20) + 9)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -858*c**2 - 3*c**3 + 1663*c**2 - 805*c**2.\nAnswer: -3*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.700615 months in centuries?\nAnswer: 0.0072505125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7*(-4)\/(-15)*(-60)\/(-504).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -77*c**2 - 2*c. Let q be t(7). Let w = q + 7467. Let n = 5311 - w. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/260729 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 7*a**3 + 3*a**2 - 3. Let s(y) = -14*y**3 - 7*y**2 + 7. Give 7*g(n) + 3*s(n).\nAnswer: 7*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 250 = 42*o + 5*a, 11*o - 8*o = 4*a - 17 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -19 - (-50 + -15 + -1 + 11)?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -1536*r**2 - 21*r - 42. Let g(m) = -384*m**2 - 5*m - 10. Give 21*g(f) - 5*i(f).\nAnswer: -384*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -167 less than 10995.526613?\nAnswer: 11162.526613","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -5 (b) 2 (c) 144 (d) -9 (e) 0 (f) 5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -37*w + 7*w + 8*w + 12*w + 8*w + 1704 as n*w + g and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - i + (1 - 4 + 4)*(0 + 2*i + 0) + 4*i - 2*i + i)*(-3*i**2 + 14 - 14).\nAnswer: -12*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50*q - 49*q - 4*c = 2735, 16 = 4*c. What are the prime factors of q?\nAnswer: 3, 7, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-8)\/88 + 82\/2*(-16)\/(-440). Let n(t) be the first derivative of 0*t**2 + 4*t + 0*t**3 - u*t**5 + 0*t**4 - 7. Differentiate n(x) with respect to x.\nAnswer: -28*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 1537?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 504969, 1009586, 1514201, 2018814, 2523425, 3028034, 3532641?\n\"Answer: -s**2 + 504620*s + 350","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 0*g**2 + g**2 - 5*g + 1 - 3*g. Let x be a(7). Does 12 divide (-94)\/x + (-4)\/(-12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r = -b - 2*r - 21, 4*b + 3*r = 1 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1339 - -3687. What are the prime factors of s?\nAnswer: 2, 7, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13 - 32212*j + 13 + 32254*j.\nAnswer: 42*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(2\/53))**20\/(d*d*d**(-3\/11)*d)**13 assuming d is positive.\nAnswer: d**(-20230\/583)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = x + 1. Let z be (-2)\/(-8) - (-867)\/68. Suppose 2*i - 10 = -2*d, 2*d + 3*i = d + z. What is f(d)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 9 in 4\/5, -25, -1, -0.96, 4, 0.2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that -j**4\/2 - 307*j**3\/5 + 681717*j**2\/10 + 6143563*j\/5 + 10921276\/5 = 0.\nAnswer: -428, -79\/5, -2, 323","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*v + 3*b - 22, -v - 4*b + 21 = -0*v. Suppose 0 = v*o - 189 + 9. Suppose 4*d = -t + 108, o = 2*d - 0*d + 5*t. Is 18 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = -j + 145, -8*n - j + 355 = -3*n. Suppose 4*i - n = 186. Let v = i + -515\/8. Which is the nearest to 0? (a) 1\/6 (b) 1 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -8864, 0.3, -1.438 in descending order.\nAnswer: 0.3, -1.438, -8864","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 4*a**2 - 8*a - 5. Suppose -18 = -4*b + o, 2*b - 6 = -o - 0*o. Let s be u(b). Let c = s - 9. What is the greatest common factor of c and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 540\/(-4140)*(-4)\/(-3)?\nAnswer: -4\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*x**5\/3 + 12290*x**4\/3 - 8355454*x**3 + 16745802502*x**2\/3 + 455637817316*x\/3 - 696294335440 = 0. Calculate x.\nAnswer: -30, 4, 2057","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 43274.8 to the nearest 100.\nAnswer: 43300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 - 35\/(-8))*132*(-2940)\/2205?\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 362, 427, 492, 557?\nAnswer: 622","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -12956, -51846, -116662, -207404, -324072?\n\"Answer: -12963*l**2 - l + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the first derivative of -12*m**5\/5 + m**3\/3 - 45*m**2\/2 - 38. Find the second derivative of s(p) wrt p.\nAnswer: -144*p**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -6*i**2. Let l(d) be the first derivative of d**3\/3 - 22*d + 8. Let w(u) be the first derivative of l(u). Give w(p(t)).\nAnswer: -12*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 5*u**3 + 4*u**2 - 2*u - 4. Let t(i) = -11*i**3 - 9*i**2 + 4*i + 9. Let b(x) = 9*q(x) + 4*t(x). Calculate the remainder when 81 is divided by b(3).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -b*r**2 - 2*b*r - 280099*b - 26753*r**2 + r with respect to r.\nAnswer: -2*b*r - 2*b - 53506*r + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 253 + 6\/((-60)\/(-110)) and 440?\nAnswer: 1320","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -556\/275 or -3?\nAnswer: -556\/275","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 15\/86 or 0?\nAnswer: 15\/86","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 26017935 and 1995.\nAnswer: 285","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-12)\/288*-2766 - 1\/4. Suppose -4*o + 7 = 23, -2*z + 3*o + 12 = 0. Suppose 4*l + 35 = -4*d + w, -2*l + 4*d + 10 = z. Solve 5 = -5*c + l for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(-7)*k**(2\/11)*(k*(k\/(k**(-8)*k*k)*k)\/k)\/(k*k**(-9)) assuming k is positive.\nAnswer: k**(101\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 28 - -4?\nAnswer: 2c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -18.7 + 18.6. Let v be (4\/(-6))\/(3\/9). Let f = v - 2. Which is the biggest value? (a) -2\/11 (b) i (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the third derivative of 0*s**3 - 7\/20*s**5 - 110*s**2 + 0 + 0*s**4 + 2*s. Let o(j) be the first derivative of -4*j**3\/3 - 2. Calculate p(o(l)).\nAnswer: -336*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 13\/2? (a) -4 (b) -49.42 (c) 0.7 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 313102 to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = z + 12. Let v be j(-10). Let l be 8 - (-2 + v + 3). Let y = l - 1. Does 2 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 32*r - 15840 = 34*r, -5*a + 39640 = 3*r. What is the hundreds digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -70\/87 and -89\/174.\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9578765 is divided by 1112.\nAnswer: 1109","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 3, s: 1}. Give prob of picking 2 u and 1 s.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in one tenth of a tonne?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c**5 - 1340*c**4 - 20872*c**3 - 46288*c**2 + 515040*c + 2016000 = 0 for c.\nAnswer: -8, -6, 5, 350","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - (6 + 0) - (-39 + (74 - -4))?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) be the first derivative of -f**7\/210 + f**4\/24 + 3*f**2\/2 - 2. Let n(c) be the second derivative of b(c). What is the second derivative of n(p) wrt p?\nAnswer: -12*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 36*k - 24*k - 1008. What are the prime factors of k?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -691*y**2 + 172*y - 171. Give p(1).\nAnswer: -690","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ou when two letters picked without replacement from ouuooooooouooouooo?\nAnswer: 28\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2263, 2661, 3047, 3415, 3759, 4073?\nAnswer: 4351","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4934?\nAnswer: 2, 2467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -174*a + 109*a + 40705 = 225*a + 12285 for a.\nAnswer: 98","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -0.31 * 1782488\nAnswer: -552571.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.1, -3, -4, -1\/4, 3\/16?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1251567393?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 2189959, 2189951, 2189929, 2189887, 2189819?\n\"Answer: -s**3 - s**2 + 2*s + 2189959","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 5 - 15 = -5*d, -3*m + 15 = 2*d. Let j(o) be the third derivative of 0*o**3 + d*o - 1\/30*o**5 + 0*o**4 + 0 - 3*o**2. Let s(w) = -2*w. Give s(j(y)).\nAnswer: 4*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 64824?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 33191.685 rounded to the nearest 100?\nAnswer: 33200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1 + 3. Let r be ((-8)\/(-2))\/(-3 + d). Solve 19 = 4*a - i, -r + 3 = -i for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.698 + 0.112. Round j to one dp.\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 71 divide 585893?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence llhp when four letters picked without replacement from clpvhllxxvhchhc.\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 5*l + 3*x, -x - 4 = -2*l + 4. Let k(s) = s**3 + 11*s**2 + 9*s - 13. Let u be k(-10). Let j = u - -6. Is j less than or equal to l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/21? (a) 1\/9 (b) -1\/3 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -p**2 - 7*p + 10. Let z be d(-8). Let h = 6 - z. Suppose 2*i + 270 = h*t, -2 + 1 = i. List the prime factors of t.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 85995.13 decades?\nAnswer: 10319415.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -9*a**3 - 29*a**2 - 16*a - 38. What is w(-3)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.1, -7, -0.4, -4, -292010?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) be the first derivative of -3*d**5\/5 - 5*d**4\/4 - 45*d**2\/2 + 4910*d + 7743. What is the first derivative of p(q) wrt q?\nAnswer: -12*q**3 - 15*q**2 - 45","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f = -5*p + 41, -560*f - 6*p + 42 = -557*f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = -2 - 2. Let p be (-50)\/n*(-8)\/(-230). Suppose -50*k + 45*k - 4*m = 17, 0 = -k - 4*m - 13. Which is smaller: p or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 20 + 200200122001?\nAnswer: 200200122021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 276079 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the second derivative of 2*g**4\/3 - 5*g**2\/2 - 3*g. What is the first derivative of r(u) wrt u?\nAnswer: 16*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 - 16 = -7*r. Find the first derivative of -50 - r*m**2 + 35 + 26*m**2 + 38 wrt m.\nAnswer: 44*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 27308882?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -25837 - -25828. What is the nearest to 0.1 in f, 103, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -7573? (a) 0.5 (b) -5 (c) 0.4 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/5*(-33 + 38). Suppose -h + 11 = 5*z - 28, -j*h + 2*z = -54. Is h a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = f**2 + 22*f + 33. Suppose -5*n = w + 15, -11 = 3*w + 5*n + 44. Let j be g(w). Put j, -2, -1\/9 in decreasing order.\nAnswer: -1\/9, -2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1148965872 to the nearest integer?\nAnswer: 1047","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 4*d**3 - 4*d**2 + 7*d - 13. Let q(m) = 10*m**3 - 9*m**2 + 13*m - 27. Let l(k) = -4*q(k) + 9*z(k). Does 17 divide l(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12126242993 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -12, -104, -326, -732, -1376, -2312, -3594?\n\"Answer: -9*m**3 - 11*m**2 + 4*m + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1979873 is divided by 168?\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/(z\/(z**(-17\/2)*z)))\/(z\/((z*z**(3\/5)\/z)\/z*z))*(z\/(z\/((z*(z\/z**(-1\/35)*z)\/z*z)\/z)))\/z**(-2))**(-2\/55) assuming z is positive.\nAnswer: z**(271\/1925)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -375*l**4 - 5*l + l + 8*l**2 - 4*l**2 + 24*l**2 - 3*l wrt l.\nAnswer: -9000*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1*(-3)\/12 - (-215)\/(-20). Put -2, -5, s in increasing order.\nAnswer: s, -5, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -2*m**3 + 4*m**2 - 3*m + 1. Let h be x(2). Let y = 4 - 2. Which is the closest to y? (a) h (b) 1\/3 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 + 3 = 5*g. Solve 3*k = -r - 19, 0*k - 11 = -r + g*k for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-2)*m**(2\/3) assuming m is positive.\nAnswer: m**(-4\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = d + 1. Let x be k(2). Suppose 0 = -x*s + i - 5*i + 18, 0 = -5*i. Solve -3*r + 3 = s for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*s**3*y**2 + 1135*s**2*y**2 - 4*s**2 - 21*s*y**2 + 2*s*y + 2*y**2 - 47*y wrt s?\nAnswer: -12*s*y**2 + 2270*y**2 - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2384308*-2.\nAnswer: -4768616","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -2*a - 9. What is k(-7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -w**3 + 3*w**2 - 3*w - 7. Let n be i(-3). Solve 57 - n = y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.41 * -5.\nAnswer: 2.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 34, 93, 300, 745, 1518, 2709, 4408?\nAnswer: 6705","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -40 + 47. Let j(f) = -f**3 + 6*f**2 + 6*f + 9. Let m be j(v). Suppose c - 4*i = 359016, -m*c - 3*i = 2*c - 1435988. Round c to the nearest 100000.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 154 and 1232.\nAnswer: 1232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -5 - 312735?\nAnswer: -312742","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -b8a (base 15) to base 9.\nAnswer: -3514","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.2 + -1.6. Which is the closest to g? (a) -2 (b) 2\/11 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1709960, -2, 1 in increasing order.\nAnswer: -1709960, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 21738.05 nanometers in micrometers?\nAnswer: 21.73805","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -141*h**2 + 9016*h + 229. What is q(64)?\nAnswer: -283","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 35890000 rounded to the nearest one million?\nAnswer: 36000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 1\/64 of a gram?\nAnswer: 15625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the second derivative of h**4\/4 - 17*h**3\/10 + 9*h**2\/5 - 13*h. Determine u, given that s(u) = 0.\nAnswer: 2\/5, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -1, -21, 176, 4, 49, 1 in descending order.\nAnswer: 176, 49, 4, 1, -1, -4, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 46 - -16?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 218 - 249.4. Round h to 0 dps.\nAnswer: -31","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 11736839.52 milliseconds?\nAnswer: 0.01940615","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 283359 is divided by 283275.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -110 = -11*o - 77. Suppose o*a - 192 - 72 = 0. Calculate the least common multiple of 110 and a.\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -20 - (-2 + (5 - -1) - (-4 + 8 + 10)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -9\/5, 1, -2, 0.2, 0 in ascending order.\nAnswer: -2, -9\/5, 0, 0.2, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 2 + 1 + 7210*q.\nAnswer: 7210*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*m + 5*m - 5 = 5*v - 33*m, 0 = -2*v + 2*m for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (6\/12)\/((-1)\/2). Let j be h - 1 - (-6 + 2). Let g(s) = -2 + s**2 + 2*s**2 - 6*s - j*s**2. Give g(6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 19*b. Let p(k) = -9506*k. Determine f(p(x)).\nAnswer: -180614*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 244 - 216.9. Let z = x + -27. Sort z, 1, -4, 4 in increasing order.\nAnswer: -4, z, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 13145?\nAnswer: 13145","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -4*o + a, 0 = -o - 3*o - a + 1. Let n = 3.51 - 3.51. What is the nearest to o in n, -0.5, -0.04?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that 81*h**4 - 1488*h**3\/5 - 6603*h**2\/5 + 1062*h + 2376\/5 = 0.\nAnswer: -3, -44\/135, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 230 divided by 7.\nAnswer: 230\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 l when two letters picked without replacement from lbblblblbllb?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*4*(-1*((5 + sqrt(1900))*4 - 2*(sqrt(1900) + -3)))**2*-6.\nAnswer: 74880*sqrt(19) + 595872","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2104513 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -445424 (base 6) to base 4\nAnswer: -21022120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 75253 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -18*f + 1327 + 833. Calculate the greatest common factor of 72 and f.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6 - -26. Let z = 248 - 237. What is the remainder when p is divided by z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + 93 + -5 + (7 - -1) + -461 + 458.\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = -133 + 21. Suppose o = 2*y - 4*i, 4*y + 5*i = 2*i + 56. Suppose 0 = -12*l + 8*l. Solve -4*z - y = -3*m, -5*m + 3*z + 1 + 4 = l for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3195581985 to the power of 1\/3, to the nearest integer?\nAnswer: 1473","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b - 4*s = 15, -67*b + 55*b + 2*s - 30 = 0 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 249 = 3*o, -4*o = 3*f - 7*f + 372. Let c be (-1 - -1) + -43 + 1. Let b = c - o. List the prime factors of b.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vrvvvvvmvvvvmvm. Give prob of picking 2 m and 1 r.\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 398173511 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*k + 166 = 2*z + 7*k, 3*z - 211 = -2*k. Solve -z*r - 6 = -67*r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 7*j**2 - j + 1. Let h be d(1). Suppose 4*w = 3*s + h, -w + 3*s - 1 = -5*w. Solve 2*c - x = -w, 3*x - 5 = 5*c - 0 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2103\/5 + ((-54)\/225)\/((-16)\/(-40)) is divided by 381?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z = -2*g - 0 - 14, -26 = -z + 5*g for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 1\/20 of a micrometer?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((sqrt(11) - (sqrt(11) - (sqrt(539) + -2))) + -4) + 1 + 4.\nAnswer: -25 + 35*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -26 + 36. Suppose -5*k + 25 = 5*n, 5*k - n - n = -w. Solve -2*l - 2 - 2 = k for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1227*u**3 + 558*u**3 - 265*u**3.\nAnswer: 1520*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1433?\nAnswer: 1433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -854*a**2 + 429*a**2 + 426*a**2.\nAnswer: a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -44 - -49. Suppose -3*v - x*r = -v + 11, -2*r - 4 = v. Suppose 5*d = v*d + 228. What is the tens digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxeqqeyenueeqyeye. What is prob of picking 1 x and 2 e?\nAnswer: 21\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -r + 2*s, 2*r = -2*s + s - 1. What is the lowest common multiple of 2 - (-4 + (1 - 3)) and (-36)\/10*(r + 5\/(-2))?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = 5*t, 4*g - 24 = -12*t + 8*t. Solve 0 = -4*l - 5*h + 6, 99*l + g = 97*l + 2*h for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 0 - -19b67?\nAnswer: 19b67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 39472573 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 514 minutes after 12:46 PM?\nAnswer: 9:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*p + 2*p**2 + 33943 - 5*p - 33940 as u*p + l + n*p**2 and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 + 1 - 7) + 2 - -2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1996 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -58 + 64. Suppose 2*u + 2*u - 8 = 2*r, -3*u - 2*r = -o. Suppose u*z - 2*j = 6, z = 6*z + 2*j - 8. Solve 7*w - z*w = -5 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -32 (base 5) to base 13.\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -571, -553, -511, -433, -307?\nAnswer: -121","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 1, w: 4, v: 2, u: 2, o: 1}. Give prob of sequence olv.\nAnswer: 1\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the third derivative of -p**4\/6 - 5*p**3\/3 - 12*p**2. Let z be b(5). What are the prime factors of (-6)\/z - 717\/(-15)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -l**2 + 4*l + 1. Let x be g(3). Solve 2*w - x = 2 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in one quarter of a decade?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(56) - (sqrt(56)*1 + sqrt(56) - sqrt(56) - sqrt(56))*-2)\/sqrt(8) + (sqrt(7)*-2*-2 - (sqrt(7) + sqrt(42)\/(sqrt(54)\/sqrt(9)))))**2.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -859, -3731, -8509, -15187, -23759, -34219?\nAnswer: -46561","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.5 and -4.4822509?\nAnswer: -2.24112545","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -479*w - 18*w = 42*w - 7007 for w.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 35353 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jyj when three letters picked without replacement from {j: 3, y: 4}?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14 + (-2 + 22 - 2) + 13 + 0.\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 2*j**3 - 84*j**2 - 3*j + 140. Let m be v(42). What is the units digit of (12900\/301)\/(3\/m)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*q - q = 0. Suppose 5*j - 10 - 5 = q. Let b = 30.4 - 30. Sort 1\/4, b, j in increasing order.\nAnswer: 1\/4, b, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*c**2 + 3*c**2 + 3*c**2 + (-c - 1 + 1)*(-5*c - c + 4*c) + 0 + 0 - 2*c**2 - 3*c**2 - 3*c**2 + c**2.\nAnswer: -2*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -33905*o**3 + 33907*o**3 - 2*o - 506 + 2720 - o**2 in the form u*o**3 + m*o + z + n*o**2 and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = t**2 + 20*t - 119. Is a(73) a multiple of 46?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 945 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -14*9\/(567\/(-18)). Solve -8 = -4*m - 2*b, o*m - 16 = 7*b - 11*b for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one quarters of a milligram in micrograms?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*d = d - 990. What is the units digit of (10\/(-6))\/(11\/d)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 54\/4199 and -1\/2210?\nAnswer: 41990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-42)\/8 - (-3)\/12. Let w = y - -4. Let a be w\/((-3)\/(19 - 1)). What is the greatest common divisor of a and 36?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.04 (b) 4093 (c) -1 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22856082.\nAnswer: 2, 3, 631, 6037","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -2*s**2 + 6*s**2 + s**3 + 4*s**2 + s - s**2 + 1. What is the units digit of x(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*p**2 - 8952*p + 3666240.\nAnswer: 2*(p - 4020)*(p - 456)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 times -7405552\nAnswer: -2221665.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the first derivative of -2*c**3\/3 + 139*c**2 + 1144*c - 6701. What is q in z(q) = 0?\nAnswer: -4, 143","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q = 4*t - 5, 4*q - q + 5*t - 8 = 0 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-135)\/81)\/(5\/(-6)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -2*r**2 - 21*r - 41. Let m be t(-7). Suppose 7*c = m*c. Solve c = 2*u - 5*k - 11, 4*u = k + 1 - 6 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5.4124 - 5.342613. What is t rounded to four decimal places?\nAnswer: 0.0698","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.758474262 rounded to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1179.4 + -1174.4. Let p = 4 + -2. Sort b, 4, -3\/7, p.\nAnswer: -3\/7, p, 4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-45)\/20)\/((-3)\/36) is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-718*f + 8891 - 8891)*(-5*f**4 + 0*f**2 + 0*f**2 + (2*f + 3 - 3)*(3*f**3 + 2*f**3 - 3*f**3)).\nAnswer: 718*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 746 a factor of 2824356?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2.86 + 2.6. Let f = -0.14 + a. Round f to one decimal place.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1400902?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(4)\/(sqrt(6)\/sqrt(3)) + 6*2*sqrt(2) + sqrt(2) + sqrt(2) + sqrt(4)\/sqrt(2)*1)**2.\nAnswer: 648","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 4*h = 0. Let s = 4\/15 + -3\/5. Is h <= s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-74 + 128 - 174)*(0*a - 3*a + 4*a).\nAnswer: -120*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 107094417?\nAnswer: 3, 23, 1193, 1301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 12, -10, -18, -6, 32, 102?\n\"Answer: r**3 + r**2 - 32*r + 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1799944?\nAnswer: 2, 224993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(12) + sqrt(36)\/sqrt(3))\/sqrt(4) - (1 + sqrt(3) + -4 - sqrt(3))**2.\nAnswer: -9 + 2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4757*g + 714 = 4791*g for g.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 219?\nAnswer: 3, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is (-74)\/481 - (-18189)\/13 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w**2\/3 - 416*w\/3 - 156545\/3 = 0. Calculate w.\nAnswer: -239, 655","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - 4*p + 16378 = 0, -3*t = t + p - 13109. Suppose 3*b = -221 + t. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -4*u - 4. Let r = 503.9 - 504. Which is the second biggest value? (a) u (b) r (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8735 + 8735 + 6*q**5 + 168*q**4)*(-2 - 1 + 4)*(0 + 1 - 2).\nAnswer: -6*q**5 - 168*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 376 divided by -94\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-50)\/(-8)*954\/848*(-16)\/(-30)?\nAnswer: 15\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 303 (base 5) to base 14.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.03 or -1332.5?\nAnswer: -1332.5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 76 by 2.\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 219975?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the first derivative of 43*q**2\/2 + 426*q + 10441. Determine a(-10).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 2*w. Let f(x) = -78*x**2 + 238*x. What is d(f(q))?\nAnswer: -156*q**2 + 476*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -76, -76, -62, -28, 32?\nAnswer: 124","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*d - d + 3*d)*(d - d + 2*d)*(11341*d - 22696*d + 11350*d - 6215) as y*d + s + m*d**3 + k*d**2 and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3502 and 5262476.\nAnswer: 89462092","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.18 - 0.224. Let f = 55.956 - b. Let q = -56.067 + f. Round q to two decimal places.\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1561? (a) 0.5 (b) -29 (c) 1\/12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19739 = -4*c + 5*l, -4935 = -c - 0*c + l. Suppose -11*f = 1295 - c. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*t - 4*t + 35. Suppose -4*q + 252 = -2*b - 54, t*b + 741 = -2*q. Let v = b + 510. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -67*g**2*h**3*j - 8*g**2*h**3 + 2*g**2*h**2*j - 7*g**2*h**2 + 5*g**2*h*j + 12*g**2*j + 2*g*h**3 + g*h**2*j wrt h.\nAnswer: -402*g**2*j - 48*g**2 + 12*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-17)\/(-102) - 1533\/18. Is 3\/5 at least o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-56)\/(-49)*250838\/3496.\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (817\/817)\/((-4)\/(-8)*2\/3).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 17004 - -19370. List the prime factors of d.\nAnswer: 2, 13, 1399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k - 32 = 0, 62*k + 0 = -6*a + 32*k + 27*k + 30 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 144*m - 688. Let p be u(5). Calculate the greatest common divisor of 4448 and p.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:34 PM and 9:31 AM?\nAnswer: 657","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*p + 5*f + 958, -7*f - 960 = -4*p - 3*f. Calculate the smallest common multiple of 8 and p.\nAnswer: 968","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 1.6, 2237, -0.2, 1 in increasing order.\nAnswer: -2, -0.2, 1, 1.6, 2237","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 12668*t**2 - 3*t - 3. Suppose 0 = m + 5*w - 3, -2 = 2*m - 3*w - 8. Let i be u(m). What is i rounded to the nearest ten thousand?\nAnswer: 110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*l**2 - 5*l**3 + l**2 + 0*l - l + 0*l in the form o*l**2 + k*l**3 + r*l + h and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) be the first derivative of -k**3\/3 - k**2 + 8*k - 364. Factor b(j).\nAnswer: -(j - 2)*(j + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (0 + 14 - (-16533)\/(-1002))\/(2 + (-130)\/64)\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -s. Let f(k) = 15*k. Suppose -27*t - 1164 = -3*t + 73*t. Give t*y(n) - f(n).\nAnswer: -3*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -3*u - 18. Let l be y(-7). Suppose 0 = 6*d - l*d - 99. Calculate the remainder when 195 is divided by d.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1 (b) 0.1 (c) 12 (d) -134\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*o - 19*o + 5*o + 7*o.\nAnswer: -3*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 22968?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2448?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aaa when three letters picked without replacement from ppaaaaapyppppypppa?\nAnswer: 5\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.81 - 1.83. Is 0.12 less than g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 20 = -3*g, 3*a = -2*g + 4*a - 5. Let i(y) = y**2 + y + 4. Let t be i(-5). Suppose g = 2*r + 2*r - t. What is the units digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 4*d + 39 - 7 = 0, -3*m = -4*d - 29. Which is the closest to 2\/3? (a) m (b) -1\/2 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that 16*x**5\/15 - 196*x**4\/5 + 674*x**3\/5 - 1346*x**2\/15 - 448*x\/5 + 264\/5 = 0.\nAnswer: -3\/4, 1\/2, 2, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2 or 1292?\nAnswer: 1292","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 80793\/(-6)*(3 - (-147)\/(-45)). Let o = x - 3603. Calculate the common denominator of -26\/27 and o.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14\/(700\/10)*-3*(-870)\/(-18)?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/s**(-3\/5))\/(s\/(s*s**(-2\/15))))**(-1\/4)\/(((s*s**(2\/9)\/s)\/s)\/s*(s\/(s**(-2\/13)*s)*s)\/s)**(-11) assuming s is positive.\nAnswer: s**(-21329\/1170)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2291987 (base 13) to base 4.\nAnswer: 220221310322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -2*p - 2. Let k(g) = -8*g + 8. Let l(y) = 7*y - 7. Let h(a) = p*l(a) + 3*k(a). List the prime factors of h(3).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1403, -11170, -37679, -89300, -174403, -301358?\nAnswer: -478535","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 420 - 5?\nAnswer: 411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-4)*(27 - (-2438)\/(-90))?\nAnswer: -2\/45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-48)\/(-1216)*(-168)\/21?\nAnswer: -6\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4 + -2d?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 (base 16) in base 6?\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (10\/8)\/((-2)\/8). Let c(w) be the second derivative of 1\/6*w**3 - 57*w + 2 + 2*w**2. Determine c(p).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 656 is divided by 74?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -12 - (-20)\/(1300\/663)\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4589 + 4633. Calculate the greatest common factor of x and 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*r + 4 = -4*r, -3*p - 4*r - 1 = 0. Which is the closest to 1? (a) p (b) 0.3 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.86 - -0.76. What is the closest to x in -6\/13, -1, 3?\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*f**3*p*u + 18273*f**3*u**2 - f**2*p*u**2 - 55*f**2*u - 48*f**2 - 3*f*p*u + 2*f*u**2 wrt u?\nAnswer: 36546*f**3 - 2*f**2*p + 4*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + m = 64 + 76, 0 = -4*h - 4*m + 128. What is the remainder when h is divided by (12\/4)\/((-6)\/(-26))?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -89, 9, -3 in descending order.\nAnswer: 9, 3, -3, -89","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 3 = 2*w - 4, -4*w = -2*p - 10. Let r(c) = 15*c**2 + c - 1. Let i be r(p). Solve -5*n - t = 0, 4*t = -2*n - 3*n - i for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -4*f - 2. Let t be n(-4). Is ((-20)\/6)\/(t\/(-12579)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/2 - 45\/25. Sort -1, -3, l in descending order.\nAnswer: l, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1554616 divided by 777308?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 8*f**3 - 7*f**2 - 6*f + 11. Let p(z) = -z**2 + 999 - 1956 + z**3 - z + 956. Give -c(r) + 6*p(r).\nAnswer: -2*r**3 + r**2 - 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 229879799 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 2*c - 172 - 160 = 0, -4*k = -4*c + 288. Let n = k - -361. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:03 AM and 2:09 PM?\nAnswer: 366","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1467 or 0.277?\nAnswer: -1467","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -7*v - 5. Let x = -6 + 13. Let q(y) = -12*y - 11. Let b(z) = x*u(z) - 4*q(z). Determine b(5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(204) - (sqrt(204) + (sqrt(204) - (sqrt(204) + sqrt(204) + sqrt(204)*-1))))*-1)\/(sqrt(108)\/sqrt(36)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0 (b) 8 (c) -2 (d) 113 (e) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g = 37 - 42 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 12895712 to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 1, i: 2, d: 3, o: 6, s: 5}. What is prob of picking 1 o and 2 i?\nAnswer: 3\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4108\/30735 - 2\/6147. Suppose 4*s + 0*s = 0. Let j = -7 + 7.1. Which is the closest to s? (a) f (b) 4\/7 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 9 = -2*m, -m = -5*m + s + 15. Let f(v) be the first derivative of 0*v**2 + v + 1\/3*v**m - 1. What is f(-2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.958779 rounded to two decimal places?\nAnswer: -2.96","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2649836 and 5299672.\nAnswer: 5299672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 3 + 6)*(2 - 6 + 1)*(3*t**3 - 3*t**3 + t**4).\nAnswer: -3*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 45 = 19. Let j be (-363)\/(-99) + (-1)\/(-3) + 0. Suppose -n = 3*u - 42, 5*n - j*u = -0*u + 134. Calculate the remainder when n is divided by i.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g + 19551 + 19547 - 39096 = j, -5*g = 3*j - 6 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45 = 2*v + 3*v + 5*l, -4*l - 16 = 2*v. Suppose n - z - 1 = -5, 0 = 5*n + 12*z - 31. Is n*17*70\/v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2 + 0. Which is the third biggest value? (a) -0.1 (b) -4 (c) k (d) -2\/15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = d - 7, -3 - 6 = 3*v + 5*d. Let u be (-4)\/14 + (-16)\/(-7). Suppose 0 = -u*y - 2*y. Sort v, 1, y in increasing order.\nAnswer: y, 1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -216.21 + 216.224541. What is v rounded to 3 decimal places?\nAnswer: 0.015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 116592583 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 90, 167, 302, 501, 770, 1115, 1542?\nAnswer: 2057","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -647158802683 and 6.4?\nAnswer: 647158802689.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -170*m + 166*m = 3*d, -5*m = -7*d. Factor 9\/2*a**2 + d + 1\/2*a**4 + 3*a**3 + 2*a.\nAnswer: a*(a + 1)**2*(a + 4)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -42*d + 39*d + 2213*d**2 - 2233*d**2.\nAnswer: -20*d**2 - 3*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 55*u**3 - 2*u + 10. Let r be m(7). Let z = 289535 + r. Suppose 0 = -2*f + z + 41604. Round f to the nearest ten thousand.\nAnswer: 180000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2730*a**2 + 0 + 4 + 1370*a**2 + 1378*a**2 to p*a + r*a**2 + u and give u.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 112329710 to the power of 1\/5, to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -224 - -227. Solve 2*p - 3 = -m*a + 4, a + 1 = 0 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p = 4*h - 25, 2*h = 59*p - 64*p + 35 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 24\/20 - 164\/(-5). What is the greatest common divisor of 2 and y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x - 29. Let o(i) = -6. Let c(w) = -3*l(w) + 15*o(w). Let d(t) = -13*t - 12. Calculate 9*c(b) - 2*d(b).\nAnswer: -b - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 + 7 = j. Let a(n) = -n**3 - 2*n**2 + 6*n - 8. Let m be a(j). Which is smaller: 38 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 times 2?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 128 - 124 - d**4 - d**3 + 2*d + 3*d**3 to the form m*d**3 + n*d + r + j*d**2 + g*d**4 and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -t + 3*r, t + r + 26 = 3*t. Let j be (t\/36)\/((-1)\/(-60)). Let h = j + -13. Solve h + 18 = -5*x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x - 1. Suppose 0 = 2*r - q - 14, -r = -3*r - 2*q + 2. Let v be p(r). Suppose 3*h - v*k = 4*h, -3*h - 4*k = -32. What are the prime factors of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q + 15 = -7*q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.3 - 10.3. Let o = 5967 - 5955.9. Let v = o + u. Sort v, -40, -1\/4 in ascending order.\nAnswer: -40, v, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 532091010?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3 - -2) + 9 + -3. What is the third derivative of -110*u**o + 28*u**2 + 38*u**3 - 81*u**3 + 43*u**3 wrt u?\nAnswer: -6600*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -2, 1\/70, 0.12 in ascending order.\nAnswer: -2, 1\/70, 0.12, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) be the third derivative of -c**8\/2352 + 2*c**7\/735 - c**6\/168 + c**5\/210 - 296*c**2. Suppose v(o) = 0. What is o?\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 2, f: 2, i: 2}. Give prob of sequence fhi.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kiknniikiikii. What is prob of picking 2 i and 1 n?\nAnswer: 21\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that -2*d**3\/15 - 142*d**2\/15 + 88*d\/3 - 296\/15 = 0.\nAnswer: -74, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) be the third derivative of -d**5\/60 + 7*d**4\/24 - d**3\/2 + 165*d**2. Let f(u) = -20*u - 25 + 18 + 3*u**2 + 16. Give -6*f(m) - 17*w(m).\nAnswer: -m**2 + m - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 187 and 2941?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8024, -16050, -24076, -32102, -40128?\nAnswer: -48154","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_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: Suppose 0 = 2*j - 6*j. Suppose 4*a - 2*l - 20 = j, -4*a - 3*l = -0*l. Suppose -a + 6 = 3*u. What is the units digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2 + -1.5. Let i = 0.4535 - 0.0535. What is the third biggest value in y, 0, i?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 2*h - 222 + 10075 = 0, 0 = r + 3*h + 9854. Is r < -9850?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (102 - 3)\/3*1. Suppose 2*x = -0*x + 5*d + 39, -d + q = 3*x. 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 t be -40*-1*(4 - 2). Suppose t = 3*l + 2*l. What is the remainder when 31 is divided by l?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/(-10) - (-4)\/5. Solve l = -z - x, -4*l = -5*z - 0*l + 4 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1862 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4\/20*2\/1. Suppose 4*b - 9 = 7. Let n be 3 - 3 - b\/(-18). Put 0.1, l, n in descending order.\nAnswer: l, n, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -25 - 2*y**2 - 48*y - 11*y**2 + 9*y**2 - 19 = 0. What is y?\nAnswer: -11, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4528631?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + ((3*sqrt(60))\/sqrt(3))\/(2*sqrt(4)*5)*-5.\nAnswer: -4 - 3*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -7 - (34\/(-7) - (-222)\/259). Let h(z) be the first derivative of 7*z**4\/4 - z**3\/3 - 3*z + 5. Let v(g) = -g**3 + 1. Determine m*v(u) - h(u).\nAnswer: -4*u**3 + u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8445260?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Total of 389 and -10554.326433.\nAnswer: -10165.326433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-1)\/(-4)*-10 + 0)*(-12972912)\/120 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -3*v**2 - 28*v + 18. Let f be (50\/(-4))\/(70\/56). Give t(f).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 144 + -122 - (-4 + 2)?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*l = -20 - 32. Suppose 0 = -5*b - 2*t + 4574 + 813, -l*b - 2*t = -4308. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = -16, 0 = -3*n - c + 6094 + 4129. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f**2\/2 + 150924460*f + 2277819262629160 = 0. Calculate f.\nAnswer: -30184892","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 490826359 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g - 5*g - 2 = 3*v, 3*g - v = 19 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 6*k**3 - k**2 - 2*k. Give y(2).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 48*f*t*z + 6308*f*z + 246*t*z**2 + t + 5*z**2 wrt t?\nAnswer: 48*f*z + 246*z**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-6)\/(-21) - 2\/7. Suppose n - 5 + 2 = l. Differentiate -28 + h - n*h + 26 wrt h.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -11*v**3 + v**2. Let s be i(1). Let t be (-4)\/s + 78\/30. Suppose t*g + 100 = 673. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*u + 1 - 1 + (29 - u + 44 - 64)*(4 + 1 + 1).\nAnswer: -8*u + 54","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, g: 1, v: 2, q: 1, u: 1, l: 1}. Give prob of sequence li.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 75135215?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.81176451 to two dps.\nAnswer: 0.81","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 68 + -32. Let r be (-90)\/(15\/((-105)\/14)). Calculate the greatest common divisor of r and c.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 44 = -3*y + g, -5*g - 42 = -2*y. Suppose -y*l + 18*l - 5606 = 0. Suppose 8453 = 5*f + l. Round f to the nearest 100.\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 56*o - 62*o = 30 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -618000 rounded to the nearest 100000?\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 14 = -4*h + 281, 4*r = h - 95. Let k = -192 + 192. Let z be (-8)\/(-28) + k + (-832)\/(-28). What is the highest common factor of z and h?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46 a factor of 439487?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 176605 and 1951015?\nAnswer: 1045","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + -2 + (-3*(2*sqrt(147) + sqrt(147)) - (sqrt(75) + sqrt(75)*-2 + sqrt(75) - sqrt(75))*5))**2.\nAnswer: 152*sqrt(3) + 4336","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 27144 to the power of 1\/2, to the nearest integer?\nAnswer: 165","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2) + (sqrt(54)\/sqrt(3))\/sqrt(9))**2 - sqrt(2)) + sqrt(10)\/sqrt(5)*4.\nAnswer: 3*sqrt(2) + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*j - 845 + 841 + 19*j.\nAnswer: 11*j - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h - 41*d = -42*d + 24, 5*h - 5*d + 55 = -0*d for h.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.25685 + -58.00815. What is d rounded to one decimal place?\nAnswer: -58.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (28000\/2625*(-1)\/8)\/((-10)\/(-9))?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the second derivative of -x**4\/42 - 16*x**3\/21 - 15*x**2\/7 - 16*x. Factor i(u).\nAnswer: -2*(u + 1)*(u + 15)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10770 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4742 and 2?\nAnswer: 9484","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the first derivative of -1\/2*h**2 + 2*h - 4 + 37\/3*h**3. What is the tens digit of v(1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 946770458?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 272 != 273?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/((-2)\/13))\/(94\/(-94))\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 104.56627 rounded to the nearest integer?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 2*v + 246 = 0, -3*h - 5*v + 197 = -9*v. Let d be (17\/3)\/((-4)\/12). Let n = h + d. What are the prime factors of n?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = -8*b + 10. Let h(k) = -11249*k**3 - 3*k**2 + 4*k - 4. Let m be h(b). Round m to the nearest 100000.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 divided by 38.\nAnswer: -4\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 33\/22*3\/((-54)\/60)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f*f**(-1)\/f)\/f**(-1)*(((f\/(f**(2\/5)\/f))\/f*f)\/f)**(-43) assuming f is positive.\nAnswer: f**(-124\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = s + 9. What is the units digit of c(-7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -49*p**2 + 4*p + 51*p**2 - 10*p in the form q*p**2 + y*p + n and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 2, t: 3, j: 6, y: 4}. What is prob of picking 2 b?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = -6*w + 13. Solve -w*v + v + 15 = 0 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -100027.834 rounded to the nearest one thousand?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 3*z + 48. Let q be k(-15). Suppose -4*b - 5*v = 0, 0 = -b + 4*v - q*v. What is the closest to -2\/3 in b, -4, 1\/2?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at most 5\/278?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8.8 + -9. What is the nearest to 0.1 in i, 2\/33, 0.2?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w + 8 = -2*k, -4*k - 261 + 249 = -4*w for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 190*b - c - 17 = 373*b - 186*b, -7*c = -4*b for b.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 213.6328473 to the nearest 10.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -89, -490, -1163, -2108, -3325, -4814?\nAnswer: -6575","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (512 - 572 - 1687)*(-c + 0 + 1 + 1) to f*c + w and give f.\nAnswer: 1747","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -0.3 (b) -2\/13 (c) -3\/4 (d) 2190435\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -28*n + 4324. Determine s(142).\nAnswer: 348","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-1)*(-1)\/((-14)\/14)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4200435?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + -6*(-5*sqrt(612)*-4 + -4 + (sqrt(612)*3 - sqrt(612))))**2.\nAnswer: -30096*sqrt(17) + 10663849","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -145, -388, -631, -874?\n\"Answer: -243*x + 98","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 divided by -11421745?\nAnswer: 14\/11421745","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -62\/45124505 and -73\/611018.\nAnswer: 3339213370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is one sixteenth of a gram in micrograms?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 11993 + -11664. Calculate the remainder when 962 is divided by d.\nAnswer: 304","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 + -1 + 6 + 6 - (-14 - -12).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwgwwgggwggwxgwwgww. Give prob of picking 2 w.\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 16? (a) -0.4 (b) -1.2 (c) 36.3 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4378478633 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 260\/16 + (-3)\/(-4). Let h = i - 15. Let p(v) = 5 + 3*v - 4*v + 0*v - h. Calculate p(3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 41 divide 27962?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 > 9632\/661?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3 - 5. Let q be 1*((-4 - f) + 47). What is the greatest common factor of q and 30?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1111110111 (base 2) to base 10.\nAnswer: 1015","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3 - -353?\nAnswer: 350","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand k - 3*k - 6*k + 1 - 5 + 2*k + 5 + (-5 + 3 + 1)*(-2*k + 0*k + 3*k) - 3*k + 2*k + 0*k + 3*k + 2*k - 4*k + 2*k - 2*k + 2*k.\nAnswer: -5*k + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, 3, -48 in descending order.\nAnswer: 3, -6, -48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 150 is divided by 89?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -33\/35, -111, 1\/4 in descending order.\nAnswer: 1\/4, -33\/35, -111","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1479 - -1594. What is the highest common divisor of y and 46?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12 - (-47 - -69) - (3 - -3)\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:04 PM and 3:25 AM?\nAnswer: 501","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 2, -25\/6, -9\/4, 0.02?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 122 + -85. What is the tens digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 416, 0.1, 2, 0.19 in increasing order.\nAnswer: 0.1, 0.19, 2, 416","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1165 = -89*k + 4013. Determine i so that -292\/7*i**2 - 172\/7*i**3 - 44\/7*i**4 - k*i - 64\/7 - 4\/7*i**5 = 0.\nAnswer: -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*a = 8*a + 80, 26*v - a - a - 5 = 2 + 39 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5038877244 to the nearest integer?\nAnswer: 1714","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2082? (a) -15 (b) 1 (c) -2 (d) 12.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2494 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 3079901 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 = g + 2*g - 5*u, -3*g + 1 = 4*u. Let n = 0 - 3. Let z be 1*(n - -2) - 3. Do z and g have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*(-17)\/(-2)*((-242)\/22)\/(-22).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1186, 2360, 3538, 4720, 5906?\nAnswer: 7096","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a**2 + 15498*a + 919080 = 0. What is a?\nAnswer: -5106, -60","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.042196 and -1.85.\nAnswer: -1.807804","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 73.15427t in milligrams?\nAnswer: 73154270000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -15\/126058?\nAnswer: -15\/126058","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 141? (a) 1 (b) -449 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 7*h**2 - 3*h + 2. Give b(1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (8\/(-6))\/((-1)\/18). Suppose -4*m + o = -4*o - 50, -2*m + 3*o + g = 0. Suppose 0 = -t - 5 + m. What is the units digit of t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -167\/30 and -17\/213?\nAnswer: 2130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4 - -89?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -6\/150823, -1227, -3?\nAnswer: -1227","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26702 is divided by 448.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand -y**2 + y - y + (0 + 1 + 3)*(y - 1 + 1)*(1 + 2*y - 1).\nAnswer: 7*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) be the first derivative of 2*s - 90 + 2\/3*s**3 + 5\/2*s**2. What is j(-3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 75942?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1053 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1382 is divided by 139?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8 + 11 - 10*d**2 + 4 + 10.\nAnswer: -10*d**2 + 17","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7.89 + 8. Let o = -0.01 - m. Let p = 0.88 - o. Which is the closest to -0.1? (a) p (b) -3 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-12)\/(-4) - 3*-1. Let j(q) = q**2 - 4*q. What is the remainder when 23 is divided by j(n)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3*f**2*m**3 + f*m**3 - 103167*f*m + 845733*m**3 + 5*m wrt f?\nAnswer: -6*f*m**3 + m**3 - 103167*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 11 = -10. Let b(h) = 1 + 1 + h**2 - 6*h - 3 + 3. Does 4 divide b(z)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4 + -1 - (5 - 2). Suppose 5*d - s - 112 = u, d - 3*s - 37 = -d. Solve -5*h + d = -2 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(2\/9))**(16\/7)\/(b**(-3\/8)\/b*b**(1\/3)) assuming b is positive.\nAnswer: b**(781\/504)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:19 PM and 10:39 PM?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 188, 3, -3\/4, -0.3, 5, 1, -502 in decreasing order.\nAnswer: 188, 5, 3, 1, -0.3, -3\/4, -502","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -55a + c8a?\nAnswer: 730","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11066221.\nAnswer: 11066221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1964 + 2092 - (0 + 170)?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 116 - 41. Let n = w + -33. Let r = n - 42.2. Sort -3, 35, r.\nAnswer: -3, r, 35","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 0*g - 4*g**3 - 1 + 0*g + g**2. Let i be h(-1). Suppose 5*z + 2*w - 204 = 0, i*w - 3*w = 3*z - 118. What is the units digit of z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = u**3 + 6*u**2 - u - 2. Let t be q(-6). Suppose 9*n - t*n = -15. Suppose 0 = 4*a + 17 - 5. Is n not equal to a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 682 minutes after 5:10 AM?\nAnswer: 4:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 2, -1, 701, 841, 3 in increasing order.\nAnswer: -1, 0, 2, 3, 701, 841","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 3076606109 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*i - 2*i + 5*i + 2*i + 2*i - 5*i + (-1 + 1 + 2)*(0*i - i - i) + (-5 + 3 + i + 0)*(0 + 1 + 7).\nAnswer: 6*i - 16","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*n - 6*n + 4*n)*(470 - 946 - 195*n**2 + 478) as w + m*n**3 + g*n**2 + c*n and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) be the second derivative of -3*z**5\/40 + 17*z**4\/4 - 65*z**3\/4 + 24*z**2 + 1078*z. What is q in f(q) = 0?\nAnswer: 1, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3565 + 1?\nAnswer: 3566","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 614 = 7*x - 6*x. Is x\/8 + 3\/12 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6989.101 millennia in centuries?\nAnswer: 69891.01","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -492*q + 46766. Calculate the remainder when 0 + (-1)\/1 + 66 is divided by v(95).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1428?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -96*u**2 + u. Let i be y(1). Calculate the remainder when 54 is divided by (0 + 2)*i\/(-10).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 27 - 23. Let r(j) = 54*j**2 - 38*j + 170. What are the prime factors of r(l)?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11 = -8*o - 5*o + 314 for o.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 r when three letters picked without replacement from rwrrrrwrrrwpwwp?\nAnswer: 8\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that -3*s**3 + 29682*s**2 + 1042767*s - 2204238 = 0.\nAnswer: -37, 2, 9929","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -o**3 + 9*o**2 - 12*o + 16. Let f be t(7). Let w(r) = 4*r - 2. Let p be w(2). Calculate the greatest common factor of f and p.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkklkl. Give prob of sequence lk.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -4460048000 rounded to the nearest one million?\nAnswer: -4460000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 5970, 22797, 50864, 90177, 140742, 202565?\n\"Answer: k**3 + 5614*k**2 - 22*k + 377","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 799 and 333484223?\nAnswer: 799","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1005403456 to the nearest integer?\nAnswer: 1002","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 0.3*-9645\nAnswer: -2893.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 6978, 11526, 16074, 20622, 25170?\n\"Answer: 4548*f + 2430","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w - 9 = -q, 675*q + w = 658*q + 49 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -373913, -747892, -1122013, -1496348, -1870969, -2245948, -2621357?\n\"Answer: -12*t**3 + t**2 - 373898*t - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 5*r - 30. Let l be o(6). Solve -2*b + 5*b - 3*y - 15 = l, b + y = -5 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 474 divided by 79\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**2\/5 - 42*d\/5 - 288\/5.\nAnswer: (d - 48)*(d + 6)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 26021?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*w = 62*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.72855 plus 1539806?\nAnswer: 1539805.27145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-22)\/(2112\/72)*36?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1923*p + 1688 wrt p.\nAnswer: 1923","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*v**2 - 2640*v - 756 = 0.\nAnswer: -2\/7, 126","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2b5 - 1c?\nAnswer: 296","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the third derivative of 0*h**7 + 0*h**6 + 5*h**2 - 1\/4*h**4 + 1\/84*h**8 + 0*h + 0*h**5 + 0*h**3 + 0. Find the second derivative of c(d) wrt d.\nAnswer: 80*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (211945\/460)\/(-97)*(-1 - 3)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 69947.58 kilograms to nanograms.\nAnswer: 69947580000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 9 + -4 + 0 + 3. Let z(t) = t + 3. Let u be z(-3). Suppose u = 2*w - 40 - i. Does 14 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 40\/30 + 3516\/9.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 230*x**2 + 20*x - 19. What is the lowest common multiple of 7 and y(1)?\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1710 - -1710.3. What is the third biggest value in 2.9, 6, 3, b, -0.2?\nAnswer: 2.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x = 15*x - 102*x - 1440 for x.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7*r**4 + 45*r**2 - 70*r**2 - 16*r**4 - 24*r**4 wrt r?\nAnswer: -1128*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 3*h - 6 = 0, 5*c - 2*h - 22 = h. What is the third derivative of 16*p**2 - 11*p**c + p**4 + 0*p**4 wrt p?\nAnswer: 24*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((sqrt(11) - (sqrt(704) + sqrt(704) + 0 + sqrt(11))) + (sqrt(1100) + -1)**2) - ((sqrt(539)*1)**2*4*-2 + -3).\nAnswer: -72*sqrt(11) + 6517","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -102273*h**2 - 93531 wrt h?\nAnswer: -204546*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -110001101 (base 2) to base 14\nAnswer: -205","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 7 = x, 19 = 3*x - 4*j - j. What is the second derivative of 18*u + 3 + 2*u**2 - 5*u**x + 2*u**3 + 4*u**3 wrt u?\nAnswer: 6*u + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (7\/((-490)\/(-12)))\/(1899\/3165)\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6 - 4.4. Round q to zero decimal places.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 34086?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:40 PM and 9:27 PM?\nAnswer: 167","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.3607 - -1.6438. Let q = -0.0345 + h. What is q rounded to one decimal place?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -15 + 4. What are the prime factors of (0 - 2)*i\/2?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2 - 33013?\nAnswer: -33011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = a**2 + 8*a + 2. Let c be v(-8). Suppose -q = c*q. What is the units digit of (0 - (-1 + q)) + 1?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6 + 8. What is the units digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.96 and 12679?\nAnswer: -12171.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -u**2 - 7*u - 5. Let w be k(-5). Let m be 1 - w - 9\/(-3). Let f(n) = 7*n**2 + 3*n + 1. Let g be f(m). Solve -g*b = -2*b + 9 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 3\/10 of a kilometer?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -87 divided by -3.\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s**2 + 3*s + 1. Suppose 0 = 2*h - 1 - 3. Let t be (1\/h)\/((-3)\/24). What is the smallest common multiple of 10 and x(t)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12 + 558*u**3 + 6 - 5 - 13 - 1800*u**3.\nAnswer: -1242*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7707\/51 - 22\/187?\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5\/8 or -7\/53?\nAnswer: -7\/53","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = g. Let i be a(1). Let n(m) = -m**3 - 14*m**2 - 18*m + 18. Let w be n(-9). Let d be 6\/15 - (-140)\/w. Which is smaller: d or i?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 42989704 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-6\/5)*w**(6\/11))\/((w\/(w\/(w*w*w**17)))\/w**(-8)) assuming w is positive.\nAnswer: w**(-1521\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 155*s - 2630. Let w be a(17). Solve 2*o + 5 = 5*k + 4*o, w*k = -3*o for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 17\/15525 and -143\/93150?\nAnswer: 93150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 170 + -156. Do 15 and i have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + k - 42 = 48, 5*y - 3*k = 90. Let x = 11 - y. Let t = x - -15. What are the prime factors of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14*285\/(-105)*(-1)\/6?\nAnswer: 19\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4)\/(12\/(-15))*1. Suppose w*l + 12 = 3*d, 2*l - 4 - 4 = -2*d. Let m be (-1)\/(-2) + 3\/(-6). Solve p - d*p + 9 = m for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 82*a - 9*a - 584 for a.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*i**2 - 2*i**2 - i**2)*(-5*i**2 + 4*i**2 + 3*i**2) + 23*i**4 + 15*i**4 - 13*i**4 + (-i + i - i**2)*(0*i**2 + 0*i**2 + i**2).\nAnswer: 28*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 5*p - 5*t = 1563, 0 = 4*p + 2*t - 1542. Calculate the highest common divisor of p and 43.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lddiiiiyiylyydi. Give prob of picking 3 d.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 293 + -212. Calculate the remainder when y is divided by 28.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -4*a**2. Let u(j) be the second derivative of 7*j**5\/60 + 19*j**2\/2 + 2*j. Let h(c) be the first derivative of u(c). Calculate l(h(r)).\nAnswer: -196*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -b**2 + 8. Let a be w(0). Suppose 2*r + 4*n - 8 = 0, 4*r + 2*n - 6*n + 8 = 0. Let q = a - r. What is the greatest common factor of q and 56?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7930349*j - 21562*j**3 - 7930349*j.\nAnswer: -21562*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -l**3 - l**2 + 1. Let t(m) = 6*m**3 + 4*m**2 - 4. Determine -20*g(z) - 5*t(z).\nAnswer: -10*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -x**2 - 12*x - 4. Let d be r(-5). Does 31 = d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/((q*q**6)\/q))\/(q*(q\/(q*(q**5\/q)\/q)*q*q*q)\/q*q*q))**29 assuming q is positive.\nAnswer: q**(-203)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1635 - 798. What is the remainder when b is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/((60\/10)\/(28\/((-12)\/6)))\nAnswer: 28\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3)\/((-5)\/(10\/(-4))). Let f = 1 - -0.5. Let z = -2 + f. Put 0.1, z, u in decreasing order.\nAnswer: 0.1, z, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 22565 - 15597. List the prime factors of z.\nAnswer: 2, 13, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -12*t. Let r(a) be the first derivative of 0*a**2 - 7 + 1\/6*a**3 + a. Let p(c) be the first derivative of r(c). Give z(p(o)).\nAnswer: -12*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*r + 48*r - 40*r - 47*r**2 - 6*r + 2*r.\nAnswer: -47*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = -2*p - 22, 4*u - 2*p + 0*p + 26 = 0. Let i(f) = -7*f. Calculate the remainder when i(u) is divided by 19.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 12*c - 12. Suppose -p - 31 = 4*j, 0 = j + 4*p + 1 + 3. Let f be (4\/j)\/((-2)\/28). What are the prime factors of w(f)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 9306\/(-1)*10\/60*-4. Let c = 16966 - b. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 58*r - 732471 - 1480171 = 0. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/c**(-1)*c)**(-25\/4)*(c**1)**(-5\/9))**(3\/17) assuming c is positive.\nAnswer: c**(-695\/204)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p**2\/4 - 16153*p\/2 - 260919409\/4 = 0.\nAnswer: -16153","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -239*f - 24709818 = -281*f. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3 + -1. Suppose s*h = -0*h + 286. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1 - 158510?\nAnswer: -158508","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.56 + -1.26. What is the second biggest value in -0.1, 15, r?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.79096 centuries in years?\nAnswer: 979.096","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-30134)\/(-4758)*(-33)\/(-19).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 4 = -2*l. Let c be (-2)\/4*l*3. Suppose -7 + 1 = -c*u. Solve u*z = 7*z + f + 13, -2*z = 2*f + 2 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48*k + 5494 = 26*k - 2498. Suppose 3*m = 58 + 11. What is the remainder when k is divided by m?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2674.\nAnswer: 2, 7, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -12\/19 in 0.4, -2\/17, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -11*l**2 + 5*l + 5. Let q = 38 - 30. Let x(y) = -7*y**2 + 3*y + 3. Give q*x(o) - 5*h(o).\nAnswer: -o**2 - o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 6\/1715 and -41\/32410.\nAnswer: 1588090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ah when two letters picked without replacement from qahaq.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 21*p**3 - 2*p**2 + p. Let g(o) = -o**2 + 2*o + 4. Let b be g(3). What is the least common multiple of 12 and z(b)?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 263 a factor of 15652182?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from oioiyoowqoysoos. What is prob of picking 1 y, 2 o, and 1 s?\nAnswer: 4\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 10644?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.04755 to 3 dps.\nAnswer: 0.048","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pt when two letters picked without replacement from tppptpppppp.\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -212011121 (base 3) to base 15\nAnswer: -5011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 7? (a) -6 (b) 7 (c) 9 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 179*k + 1309. Let s be a(-6). What is the highest common factor of 423 and s?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 2*c = 2*q - 17, -5*q + 59 = 4*c. Let t(i) = -2. Let l(a) = -a + 10. Let h(f) = -61*f + 2442. Let k be h(40). Determine k*l(s) + q*t(s).\nAnswer: -2*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12*8\/640)\/((-3)\/(-2)).\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -92 + 121. Calculate the remainder when 44 is divided by i.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 14550 and 9021.\nAnswer: 451050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -9 + 14. Let i = 0.1 - 0.4. Suppose -31*l = -26*l. Which is the nearest to i? (a) h (b) l (c) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 135500154067 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, 2, 0.2, 2\/9 in decreasing order.\nAnswer: 10, 2, 2\/9, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(66)\/(sqrt(33)\/sqrt(3)) + sqrt(12)\/sqrt(2)*-6)\/(sqrt(18)*-2*-1).\nAnswer: -5*sqrt(3)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 461 is divided by 157.\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -79 = -5*r - 4*c, 0*r - r - 2*c = -17. Suppose -5*q + 3*w - w = -r, q = -w + 3. Is q even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*u + 12 - 196*u**2 - 15 + 198*u**2 to v + n*u**2 + a*u and give v.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 102 and 561.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -65572.43 to the nearest ten.\nAnswer: -65570","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4 - -2610742?\nAnswer: 2610746","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -2*z**3 - 4*z**2 - 3*z. Suppose 8*w - 3*w + 10 = 0. What is b(w)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 11 = f, -3*i + 21 = 4*f - 4. Solve 2*u + 4*y + 8 = 7*u, -24 = -i*u - 4*y for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -2*f**3 - 3*f**2 - 2*f - 1. Let z be b(-3). Let a = z - 22. What is the units digit of a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 20\/(-6)*(-42)\/35. Suppose -t - 5*a + 66 = 2*t, -y*t + a = -65. Let r = -12 + t. Solve 5*l = -r*n + 5, -3*l + n - 21 = -4*n for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 21660*-0.5\nAnswer: -10830","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (4\/(-3))\/(-4*88\/33 + 10). Suppose 0 = -3*k + 4*x + x - 29, 10 = 2*k + 4*x. Sort k, -2, a in decreasing order.\nAnswer: a, -2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -26 - -26. Suppose 5*r - 10 - 10 = i. Suppose -d - h = 3*d - 626, -r*h = 5*d - 777. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -52*q + 3*q**3 - 136063 + 136063.\nAnswer: 3*q**3 - 52*q","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Multiply 6 and 0.543824.\nAnswer: 3.262944","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (-52 + 52 - 10*r**2)*(-3 + 1 + 0)*(0*r + 0*r - 5*r) as j + h*r**2 + z*r**3 + c*r and give z.\nAnswer: -100","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17566.\nAnswer: 2, 8783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-23*c + 6*c + 24*c + 29)*(-7*c + 4 - 8 + 2).\nAnswer: -49*c**2 - 217*c - 58","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 320943*l + 0*l**2 - 320942*l - 11*l**2.\nAnswer: -11*l**2 + l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(4*(sqrt(78)\/sqrt(6) - sqrt(13)))**2*-3 + 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 10\/15 + (0 - 214\/6). Is l > -34?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = -3*u + 7 + 52, 4 = 4*g. List the prime factors of u.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*i**2 + 3336 - 2258 + 0*i**2 + 4*i**2 - 4*i**2 + 2*i**2 + (2*i + 0*i - i)*(4*i - 5*i + 3*i).\nAnswer: 6*i**2 + 1078","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 685 minutes after 2:14 AM?\nAnswer: 1:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -19295.74398011 + 19204.743979. Let g = 20.7 - 111.7. Let v = g - b. What is v rounded to seven decimal places?\nAnswer: 0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -356011 (base 9) to base 11\nAnswer: -137041","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -714648392*k - 2*k**2 + 714648392*k.\nAnswer: -2*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**0)**14\/((((b*b**(-10)*b)\/b)\/b)\/b**(1\/2)) assuming b is positive.\nAnswer: b**(21\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*m = -2*m - 20. Suppose 2*t - 240 = -m*t. Let u = -11 + t. What is the units digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 2*y**2 - 12*y + 23. Suppose -12*x - 35 = -71. Calculate the remainder when 15 is divided by r(x).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 3*l + 200 = 0. Suppose l = 3*k + 2*k. Suppose -2 = -d + 2. Solve -o + h = -5*o - d, -k = o - 2*h for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15890*j + 497*j**3 + 15890*j - 1001*j**3 - 770*j**3.\nAnswer: -1274*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - s**3 + 0*s**3 - 2 - s**3 to the form j*s**3 + c*s**2 + l + u*s and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 52284 to the power of 1\/5, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13, 3, 3\/4, 457, -2.\nAnswer: -13, -2, 3\/4, 3, 457","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = 3*u - 588, -r - 13*u = -6*u - 316. Calculate the least common multiple of 84 and r.\nAnswer: 2016","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 170 minutes after 10:50 AM?\nAnswer: 1:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((sqrt(1053) - (-2 + sqrt(1053)*-3)**2) + -1 - -1*(-1*sqrt(1053)*4)**2).\nAnswer: -22098 + 297*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5814\/(-18411)*(-19)\/(-17).\nAnswer: -6\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 78 - -bc2de?\nAnswer: bc367","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 2*f**3 + 479*f**2 - 13817*f + 259. Determine t(26).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 8701 to the power of 1\/5, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 676 is divided by ((-16)\/(-12))\/((-60)\/(-12510))?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4536*l**2*u**2 + 185*l*u - 3*u**2 wrt l?\nAnswer: 9072*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3219 + -2400. What is the greatest common factor of l and 441?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the second derivative of -2*z + 1\/54*z**4 - 1\/135*z**6 + 0*z**3 + 0*z**2 + 0*z**5 + 0. Find n such that k(n) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2, -0.1, -0.0667, 2\/17?\nAnswer: -0.0667","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = -5*n + 17. Let l = n - -6. What is the units digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 2*a + 2*r, -4*a + 2*r + 17 = -7. Suppose a*n + 108 = 19*n. Calculate the highest common divisor of 36 and n.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1816.8 - 1817. What is the fourth smallest value in x, -4, -1\/3, 0.07?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 63024, 126112, 189200, 252288, 315376, 378464?\n\"Answer: 63088*x - 64","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 2*b - 3)*(b - b - 4*b)*(-8196 + 7071*b + 8196) to the form c*b**3 + d*b**2 + m*b + t and give c.\nAnswer: 56568","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -342201 by -5.\nAnswer: 342201\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -1, 5, 70 in increasing order.\nAnswer: -4, -1, 5, 70","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 87298.95 days?\nAnswer: 2095174.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g + 3*a + 8 = 0, a + 151 = -g + 148 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*j**4 - 95*j**3 - 435*j**2 - 565*j - 230.\nAnswer: 5*(j - 23)*(j + 1)**2*(j + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.09 and 6.06097?\nAnswer: 0.5454873","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1.4 - 1.41. Is u at least -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 47 + 1b?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -9*t**3 + 9*t**2 + 18*t - 10. Let h(d) = 20*d**3 - 17*d**2 - 37*d + 21. Let l(a) = -5*h(a) - 11*o(a). Calculate l(-13).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 638, 678, 704, 710, 690, 638?\n\"Answer: -p**3 - p**2 + 50*p + 590","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-43*v**3 - 5*v**3 + v**3)*(-2 + 2 - 4) in the form l*v**3 + i*v**2 + o*v + c and give l.\nAnswer: 188","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 372141?\nAnswer: 3, 7, 11, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(1 + sqrt(147)) - (-2*sqrt(48) + (sqrt(36)\/sqrt(2) + sqrt(18))\/sqrt(6)).\nAnswer: -22*sqrt(3) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l**(-1\/12)\/(l\/(l**(26\/7)*l)))**0)**(-2\/19))**(-4) assuming l is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -4*i**4 - 8*i**3 - 288*i**2 + 109411 wrt i?\nAnswer: -16*i**3 - 24*i**2 - 576*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3735, -7511, -11313, -15153, -19043, -22995, -27021, -31133?\nAnswer: -35343","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2482310069 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of ((-1 - -2)*-1)\/(5748\/5752 + -1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 8*c + 11. Let u be -3*3*(-13)\/(-39). Let q be v(u). Let s(a) = a - 11. Let p(i) = -2*i + 23. Let h(d) = q*s(d) - 6*p(d). What is h(6)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ymfjmyggjgmkgjy. What is prob of picking 1 k and 2 j?\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(4) + (3*(sqrt(16) + sqrt(4)) - sqrt(4)))\/(sqrt(32)*5).\nAnswer: 9*sqrt(2)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1.192 - -1.2. Let v = -25.992 - k. Let a = -26.03 - v. What is the biggest value in -2, a, -3?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -4*b - 17. Let y be v(-5). Solve 5*f - y = 17 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 13*f - 56. Suppose 4*o + 0 + 4 = f*z, 3*z + 2*o = 13. Solve 2*c - z*c - 4 = 0 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -19*d - 3. Let j be b(-2). Let g = j + -25. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*k**2 - 3*k**2 - k**2 + (309*k + 254*k**2 - 309*k)*(2 + 3 - 4).\nAnswer: 250*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 146*p - 321*p + 181*p.\nAnswer: 6*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = -5*j + 95, -4*j + 1 = u - 30. What is the greatest common divisor of 45 and u?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6\/9*21*(-14)\/294*-12\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -128791, -257408, -386025, -514642?\n\"Answer: -128617*t - 174","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4044322 is divided by 48.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 5392307 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 28*h + 14. Let m be y(-6). Let k be (-56)\/m - (-2)\/(-4). Let l = -578 + 578. Which is bigger: k or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 2.7 and -1475?\nAnswer: 1477.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4797 = -32*h + 35*h. Calculate the highest common divisor of 39 and h.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3585 to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -968.92 + 969. Let n = 0.08 + 0.32. Which is the fourth smallest value? (a) 0.2 (b) o (c) n (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 396215237 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -45 - -51. Let g = 46\/7 - t. Suppose -10\/7*b - g - 8\/7*b**2 - 2\/7*b**3 = 0. What is b?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 272 = 17*i + 17 for i.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 127 - 126. Suppose 3*a = j + 4, p = -3*j - 2. Solve n = -a - 4 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 1\/9 (b) 1 (c) 0.5 (d) -1\/17 (e) 8587\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 390 and 5590?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eeee when four letters picked without replacement from {m: 8, e: 5}?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = 2*w - 323, 2*w - 7*w = -15. Calculate the remainder when p is divided by (-1 + -105)\/((-4)\/2).\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 397122546 - 138010167. Let t = m - 259112410.0000033. Let g = t - -31. Round g to 6 dps.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1769.429km to meters.\nAnswer: 1769429","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 5, 6090, -5.\nAnswer: -5, 1, 5, 6090","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1773 is divided by -2 - -143*(3 - 3 - -2)?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -163\/4242 and 123\/442330.\nAnswer: 134025990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -5293630 to the nearest one hundred thousand.\nAnswer: -5300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 + 7 - 11*n**5)*(1 + 3 + 0 - 2 - 1 + 1 + 0 + 1 + 1 + 1 + 2 - 1 + (5 - 5 + 2)*(-3 + 2 - 1)).\nAnswer: -22*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*u + 4*u**2 + 0*u + 0 + 0 + u**2 + (-4*u + 3*u + 0*u)*(-5*u + 0*u + 4*u) + 232*u**2 + 93*u**2 + 61*u**2.\nAnswer: 392*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/40 of a litre?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 67 a factor of 315807913?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 v when two letters picked without replacement from rrhmmrrvrrrvrruuv.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 0 + -974b47?\nAnswer: -974b47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 12218130 and 495.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 809 is divided by 54?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 303409 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 220155763 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -447735*l**2 + 447735*l**2 - 2830*l**3.\nAnswer: -2830*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0.4 (b) -10\/361 (c) 83 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 - 9 + 0*d**2 + 5*d**2.\nAnswer: 5*d**2 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 207748 is divided by 966?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -32985, -99249, -165499, -231729, -297933, -364105, -430239, -496329?\n\"Answer: y**3 + y**2 - 66274*y + 33287","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 261608 or 2877702\/11?\nAnswer: 261608","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3.7 - -385680841.4.\nAnswer: 385680845.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 7, i: 7}. What is prob of sequence rrir?\nAnswer: 35\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, 1, 1\/154, 324 in descending order.\nAnswer: 324, 1, 0.4, 1\/154","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -45 - -49. Factor 270 + 3*o**2 + 4*o**2 - v*o**2 - 48*o - 78.\nAnswer: 3*(o - 8)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 2 = 2*k. Let i be (-2 + k)\/(6\/(-18)). Let a = 0.6 - 4.6. What is the biggest value in a, 1, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -f**2 + 9*f - 9. Let l be m(6). Find the first derivative of -l*j**2 + 23*j**2 - 165 + 143 wrt j.\nAnswer: 28*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 39 + -27 + 4 - 5.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -k**2 - 2*k - 6. Suppose 0*u - 5*u - 225 = 0. Suppose 6*l - 256 = -4. Let q = u + l. Let y(n) = n**2 + n + 5. What is q*y(a) - 2*r(a)?\nAnswer: -a**2 + a - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -137289 - -2305?\nAnswer: -134984","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -17 - -2034515?\nAnswer: 2034476","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3 + 8. Let n(c) = -4*c + 102. Let m(i) = 7. Let r(v) = 12*m(v) - n(v). Let y be r(h). Solve a - y = -0 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4 - -5. Let l = 1 + n. Suppose 412 = l*q + 2*f, 0 = 5*q + 2*f - 193 - 852. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39670973 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1397 is divided by 25?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -35\/33 and 25\/3.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 126*t - 116*t - 80. Solve -t*k + k = -k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = -i - 29, -2*s + 4*i = -32 - 30. Let z(u) be the third derivative of -u**4\/6 - u**3\/3 - u**2. What is the remainder when s is divided by z(-4)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n*n**(-4))\/n)\/n*n*n**(-5))\/((n*n**(-1\/8)\/n)\/(n\/(((n\/(n*(n**(-5\/3)*n)\/n))\/n*n)\/n))) assuming n is positive.\nAnswer: n**(-205\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (18\/10)\/(((-676)\/(-26))\/(-26))?\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 4391.6 from -0.2.\nAnswer: -4391.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the first derivative of -f**2 + 6*f - 3. What is n(-5)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - (0 - 3))*42\/14.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5907?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4 (b) -2221315 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 48 - 47. Let m be (-20)\/(-5) - (2018 + x). Let o be (6\/(-5))\/(2 + m\/1000). What is the greatest common divisor of 16 and o?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.18 in -5, 55, 3\/10, 1?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) be the third derivative of -g**6\/1020 + 58*g**5\/255 - 3245*g**4\/204 - 6962*g**3\/51 + 3675*g**2 + 2. Factor o(n).\nAnswer: -2*(n - 59)**2*(n + 2)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.900348643 rounded to 3 decimal places?\nAnswer: -1.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1684*h**3 - 368792*h**2 + 876*h.\nAnswer: -4*h*(h + 219)*(421*h - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -22122021032 (base 4) in base 5?\nAnswer: -1144303101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 21647 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 13781 - 13785. What is the fourth biggest value in -0.4, -1, 3\/4, -0.1, r?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = k**2 + k + 7. Let t(s) = s - 1. Let w be t(3). Suppose 6*h - 4*y = 3*h - 8, -4*h + w*y - 4 = 0. Give i(h).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 144 minutes after 5:54 AM?\nAnswer: 8:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4715510?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 1, c: 1, w: 2, q: 5, n: 7, r: 1}. Give prob of picking 2 n and 1 x.\nAnswer: 21\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -4*s**3 + 11*s**2 + 33*s + 1302. Let h(n) = -n**3 + 2*n**2 + 6*n + 260. What is 2*a(i) - 11*h(i)?\nAnswer: 3*i**3 - 256","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*x - 13*x = -8*z + 21, x - 3 = 0 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 118 is divided by 47?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -114 - -124. What is the closest to -1 in 3, -1, w?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = h**3 - 8*h**2 - h + 11. Let f be t(8). Let j(o) = 0*o - o**f + 6*o**2 + 2*o - 8 + 1. Calculate j(6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 58 by 6.\nAnswer: 29\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7 - 11. Let k = -40 + 61. What is the remainder when k is divided by 4*((-55)\/p)\/5?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 17\/2 of a second?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by 2392\nAnswer: 5\/2392","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -24 - -24. Let j be 0\/((-7)\/(7\/2)). Suppose 0 = -y + 4*h + 45, y + g*y + 4*h - 13 = j. Solve 3*z - z - 3*m - 6 = 0, -3*z - y = 5*m for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -j**3 - 51*j**2 + j + 65. Calculate q(-51).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -20*x**2 + 118143065*x - 29535765.\nAnswer: -5*(x - 5907153)*(4*x - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 219.5 times 125211?\nAnswer: 27483814.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1090395166?\nAnswer: 2, 7, 59, 1320091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1253493058 and 332.\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 15300623?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (240\/9 + 4)*9. Suppose -98 = -u + 5*q, -3*u + 9*q - 12*q + f = 0. What is the units digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 1 - 6)*(-5*p + 15*p - 4*p)*(2 - 1 + 1)*(-6*p + 2*p + 5*p) as o + g*p**2 + s*p and give g.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h**5\/5 + 788*h**4\/5 - 2062*h**3\/5 - 3463372*h**2 - 69208872*h\/5 - 51894864\/5 = 0.\nAnswer: -126, -3, -1, 262","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + -1 + (1 - (-10 + 6 + (-5 - -11)))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*m = 1028 + 51796. Let u = -1121452 + 11231451\/10. Let i = u - m. Calculate the common denominator of i and 143\/6.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that 10*w**3 + 1921524*w**2 + 92306746368*w + 36922391104 = 0.\nAnswer: -96076, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1, 0.1, 12786\/7, 0.02?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (28\/12)\/(2 + 58\/(-39)) and 43\/36.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 5 + 3)*(-5*z - 2*z + 2*z) + (2 + 1 - 2)*(-3*z + 3*z - 2*z) - 2*z + 2 - 2 - 26*z + 2275 - 2275.\nAnswer: -25*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 63*k - 72*k + 99. Suppose -3*q + f + k = 0, -8*q + 2*f = -3*q - 17. Solve 2*v = s + 1 + 8, -q*v + 2*s + 20 = 0 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/(-42)*-175 + -21?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.12344821 and 0.5?\nAnswer: 0.061724105","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 2 + 7 + (-20 - -3)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7 - 5. Let t(s) = -3*s**2 - 10 + 5*s**2 - 4*s**r + s**2. Let z be 0*(1 + (-8)\/6). Give t(z).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 44022 (base 9) to base 10\nAnswer: 29180","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -60*a - 3. Let u be s(-2). Let c = u + -68. Let i(q) = -q**2 - q + 17. What is the remainder when c is divided by i(0)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 1291 = f, i + 0*i - 2*f = -260. Let b = i - -158. Calculate the remainder when 1\/(-4) + b\/(-16) is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 57, -1, -3, 5 in ascending order.\nAnswer: -3, -1, 5, 57","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/35)\/((-370)\/(-2775)*(-1)\/2).\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -39 + 106. Suppose -2*y + a - 61 = 0. What is the remainder when 53 is divided by 37\/y + (-130)\/(-78)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -105*g*k**4 + g*k**3 - 382*g*k**2 + 332*g*k + 1354*k**4 wrt k?\nAnswer: -2520*g*k + 6*g + 32496*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4547 is divided by 4077?\nAnswer: 470","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -m - 5*m**2 + 4*m**2 + 17*m**2.\nAnswer: 16*m**2 - m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1303909 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3.484 - 1826.484. Let g = r - -1822.998102. Round g to four dps.\nAnswer: -0.0019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -361, 0, -6 in descending order.\nAnswer: 0, -6, -361","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - v = 319, -v - 6 = v. Let l = -17 + s. What is the tens digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 692 minutes before 1:38 PM?\nAnswer: 2:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i\/i**(-2\/7)))**32*((i\/i**4)\/i)\/(i*i**9) assuming i is positive.\nAnswer: i**(-162\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1691*g*h**2 + 3*h**2 - h with respect to g.\nAnswer: 1691*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0727 - 25166034?\nAnswer: -25166034.0727","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (4\/6)\/((-2)\/(-12)). Calculate the remainder when 14 is divided by b\/(-5)*(-10)\/1.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 x when three letters picked without replacement from {x: 4}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k**2 - k. Let r be x(1). Suppose r = -5*d + 2 + 13. Suppose 4*z - 2*v = -d*v + 411, 10 = -2*v. What is the units digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that -4*s**3\/3 - 6228*s**2 + 130960*s\/3 - 37424 = 0.\nAnswer: -4678, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 375095 (base 12) to base 14.\nAnswer: 1961c5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jwuqwajjqajawa. Give prob of sequence qq.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 66\/9 + (-1)\/3 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*v + 22*v + 1160 = 0. What is the units digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 78260860 a multiple of 172?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -83762499 divided by 83762499.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 16677 and 144.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -b**3 - 3*b**2 + 3*b - 5. Let l be 1*(1 + -1)*-1. Suppose l = 10*h - 15*h - 20. Determine o(h).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2 and -0.27.\nAnswer: -0.54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -87 + -48 + 323 - 140?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1622759\/7 - -232263. Let v = -440 + y. Which is bigger: -116 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -24*x**2 + 4*x**2 - 206399*x + 2 + 4*x**4 + 206400*x - 241*x**6 + x**5 wrt x.\nAnswer: -28920*x**3 + 60*x**2 + 96*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3749 + -3740. Solve 14*p - i = 5 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:57 AM and 7:39 AM?\nAnswer: 342","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 10) to base 5\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -536\/5 or -0.186?\nAnswer: -536\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -z**3 + 5*z**2 + 8*z + 2. Let b be r(6). Suppose -87 - 153 = -40*h. Solve b*i + h = 11*i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -49.021 - -49. Let g = -0.0209856 - q. Round g to six dps.\nAnswer: 0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -600360488 * -3\nAnswer: 1801081464","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 2*z**3 - 18*z**2 + 8*z - 70. Let n(q) = -q**3 + 19*q**2 - 19*q + 27. Let s be n(18). Let p be w(s). Solve 0 = -p*j - j - 15 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -4 - -180875?\nAnswer: 180871","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 5 (b) 1 (c) 7 (d) 1.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 1667203 + 2631254 = 0. Let i = n + -112819. Round i to the nearest one hundred thousand.\nAnswer: 1300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((0 - -7) + -2)*1. Let k = -1 - 3. Let f = p - k. What is the remainder when f is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 442 = 5*x - h + 484, -2*h = -13*x - 111 for x.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 minutes before 6:27 AM?\nAnswer: 6:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1245*h**2 - 1245*h**2 + 14*h**3.\nAnswer: 14*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 5*y**2 + y - 8. What is the tens digit of m(-3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -1 (b) -0.13 (c) 4 (d) -59846 (e) 2.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - (-5 - (3 + 4 + -5))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-105)\/210)\/((2\/28)\/(-1))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.0306 - 0.589. Let o = g + -0.4425885. Let t = o - -0.001. Round t to six dps.\nAnswer: 0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 132726638?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -397, -392, -389, -388, -389, -392, -397?\n\"Answer: -w**2 + 8*w - 404","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 12\/19, -1\/3, 2\/15 in descending order.\nAnswer: 12\/19, 2\/15, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((40\/15)\/8)\/((-121)\/(-66) + -5).\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) be the third derivative of -y**4\/6 + 6*y**2 + 12*y. Let m(w) = -24*w + 13*w + 11*w + 14*w**2. Determine x(m(n)).\nAnswer: -56*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -19*j**2 + 13*j**2 - 134*j**3 + 3*j**3 - 135*j**2 wrt j.\nAnswer: -786","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*t**3 + 13*t**3 + 23*t**3 + 14*t**3 - 4*t**3.\nAnswer: 59*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 0 + (-1*sqrt(17))**2.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -a**3 - 75*a**2 + 103*a + 2038. Determine d(-76).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of -2 - (-613 - (1 + -3))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the second derivative of -p + 2\/3*p**3 + 1\/12*p**4 + 0 + 3\/2*p**2. Does 10 divide b(4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 40 and 110.\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -26 (base 16) to base 15.\nAnswer: -28","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 191950815?\nAnswer: 3, 5, 7, 1061, 1723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 18, 3\/5, 184?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -m**3 + 5*m**2 + 115*m - 697. Give b(8).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*k**4 + 95*k**3 + 400*k**2 - 500*k.\nAnswer: 5*k*(k - 1)*(k + 10)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28050.\nAnswer: 2, 3, 5, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -914 + 914 - w + 70*w**2.\nAnswer: 70*w**2 - w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 4*y - v = -48, 4*y + 3*v = 64. Suppose -y*r + 40 = -6*r. Solve -2*t - r*k + 19 = -7*t, -t + 5*k = 8 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 112 + -71. Suppose n - x = 4*w, -3*n = n + w - 147. What is the tens digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -59? (a) -0.1 (b) 0.5 (c) -22\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 2488.5864ns?\nAnswer: 0.00000004147644","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (19 - 23) + 0 + -9?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-324)\/(-324)*((26*-1)\/(-2))\/(-1)\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3299 = 2*y - 3305 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8 - 11. Let h be (-2)\/4*(-3 - l). Suppose h = -2*r + 3*r - 13. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 851 is divided by -4 - 1*-8 - 1 - 1496\/(-11).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 5 (b) 10 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -8*y**2. Let a(h) = 245 + 242 + 239 - 10*h - 726. Determine f(a(u)).\nAnswer: -800*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(76))**2 - ((sqrt(228) - (sqrt(228)*-4 - sqrt(228)))\/sqrt(12))**2.\nAnswer: -608","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 + (0 - 7) + -66 + 57.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-2 + 0 + 3)*(9 + 0 + 2) - 22 + 4 - 11)*(1 - 1 - 2*s) in the form w + t*s and give t.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -7*c - 15*c + 11*c + 2927*c**4 - 50 + 25*c wrt c.\nAnswer: 35124*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -397 (base 15) in base 11?\nAnswer: -683","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -10.059646 + 2.059648. Let j = -13.2 - -5.2. Let h = p - j. Round h to 5 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-66)\/(-200))\/(-8 + 248\/30) and 1 + 92\/(-224) + (-3)\/6?\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1028 + 989 + 14 + 1?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**11\/(f*f*f**21*f))\/((f\/(f**(-2\/39)*f)*f*f)\/f*f**(-1\/19)))**3 assuming f is positive.\nAnswer: f**(-10373\/247)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v**2. Let l(a) = -555*a + 323. Calculate l(g(u)).\nAnswer: -555*u**2 + 323","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -95\/3528 and -53\/10834551.\nAnswer: 606734856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1 + -14. Let i = y - -11. Let h = 0.5 + 0.5. Sort h, -0.1, i in descending order.\nAnswer: h, -0.1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the third derivative of p**7\/105 - p**6\/20 + p**5\/15 + 22*p**2. Determine m so that i(m) = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -12 - -18. Let f = 9 - s. Suppose -q = f*h - 5*h - 261, 4*h = -2*q + 482. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -7*d - 2. Let q = 66 + -67. Let b = q - -5. Let x(j) = -6*j - 2. Calculate b*k(o) - 5*x(o).\nAnswer: 2*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -24093 by 116.\nAnswer: -24093\/116","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 130807 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-28275)\/182)\/75*-14?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -1, -74, -0.1 in decreasing order.\nAnswer: -0.1, -1, -5, -74","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -24534*p + 24529. Determine m(1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 291 divide 22283267?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 289086429 to the power of 1\/2, to the nearest integer?\nAnswer: 17003","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that -159*p - 23*p - 46*p + 64*p**4 + 32*p**3 - 64 - 188*p**2 - 8 = 0.\nAnswer: -1, -3\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 9*q. Let r be 2*(-8 + 5 + 0). Let m(k) = -k. Determine r*m(x) - v(x).\nAnswer: -3*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -20 - -25. Suppose -x*y = -39 - 61. Is 4 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -88 - -104. Suppose -18*h = -x - 38. Suppose -4*l - h*q + 555 = -4*q, 0 = -l + 3*q + 147. What is the units digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 91980524 divided by -4702\nAnswer: -19562","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 90 minutes before 12:17 AM?\nAnswer: 10:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2 - -4)\/(((-8)\/10)\/(-2)). Let c be 4\/10 + (-2)\/30. What is the third biggest value in -2, c, s?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -p**3 + 7*p**2 - 4*p - 7. Let i = -18 - -33. Suppose -15 = -5*q + i. Let z be r(q). Solve z*a = 6 + 4 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*b + 24 + 4. Let x be 60\/14 - 2\/b. Let f(w) = -w - 4 + x + w**2. Calculate f(1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -m**3 + 6*m**2 + 7. Let g(k) = 2*k**3 - 7*k**2 - 8. Let u(z) = -6*g(z) - 7*v(z). Let w be u(-1). Is -2 + 2 + w + -1 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 2*k**2 - k. Let c(f) = 3*f**2 + 1. Let h(o) = 5*c(o) - 6*s(o). What is the tens digit of h(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 116561*y**2. Let c(l) = -l. What is p(c(f))?\nAnswer: 116561*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 2229000 to the nearest one hundred thousand.\nAnswer: 2200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 317 minutes after 1:15 PM?\nAnswer: 6:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -i**2 - 165*i + 1845. Let c = 22 - -13. Calculate the remainder when x(-174) is divided by c.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43*a + 48*a - 715 = 0. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 2*o**2 - 7*o + 8. Let c be m(4). Let z = 197 + -3491\/18. Find the common denominator of (1 - -2) + (-53)\/c and z.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-403*v - 179*v - 83*v)*(-4 + v + 4)*(3 + 3 - 5)*(0 + 2 - 3)*(-1 + 2 - 3) - 6*v**2 + 2*v + 3*v**2 - v**2.\nAnswer: -1334*v**2 + 2*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*z = 22*z - 8. Let d be z\/8 + (-60)\/48*-1. Solve d + 0 = 5*a + 3*q, 3*a + q + 1 = 0 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1813114.\nAnswer: 2, 906557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -2 (b) 23 (c) 24 (d) 1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) be the first derivative of -5*w**2\/2 + 57*w + 52. Let j be c(9). What is the greatest common factor of 708 and j?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vvuuoovuouovoo. What is prob of picking 1 v, 1 u, and 2 o?\nAnswer: 240\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 15, 3, -3, -7, 728, 7 in descending order.\nAnswer: 728, 15, 7, 3, 0, -3, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 45334861?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 3*o + 4*l, 3*o + 2*l = -o - 2. What is the common denominator of 4\/(-12)*(-29)\/o and 140\/15 + 2 + -5?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-20)\/15*(-3)\/2. Differentiate g*y + 0*y + y + 2 with respect to y.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 165326705 and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -17*k + 1 - 16*k**3 - 7*k**2 - 5*k**4 + 16*k**2 + 9*k + 15*k**3 - 8*k**2 to b*k**4 + u*k + o + d*k**3 + v*k**2 and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*o + 627328 = -12*o + 5*o. List the prime factors of o.\nAnswer: 2, 13, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 6*o**3 + 10*o**2 - 7*o - 22. Let b be (6 - (11 + -9)) + -1*2. Let p(c) = -c**b - 5*c**3 - 11 - 2*c + 7*c**3 + 4*c**2 + 4. What is -7*p(f) + 2*v(f)?\nAnswer: -2*f**3 - f**2 + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1028516?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) be the third derivative of -i**6\/120 - i**5\/60 + i**4\/24 - i**3\/6 + i**2. Let m be j(-2). Let k = -42 - -38. Sort 0, m, k in ascending order.\nAnswer: k, 0, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 3*z - 15046 = 0, 4*y - z + 13780 = 43902. What is the hundreds digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -5156*t. Let h(c) = -2*c**2 - 19848*c. Determine h(y(x)).\nAnswer: -53168672*x**2 + 102336288*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 14924\/(1 + 12) - 4\/(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of g**4*x**2 + 19699*g**4 + g**3*x**2 - g**2*x**2 - g**2*x - 140591*x**2 wrt g?\nAnswer: 24*g*x**2 + 472776*g + 6*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -2*i**3 + 25*i**2 - 13*i + 45. Calculate the lowest common multiple of 2271 and p(12).\nAnswer: 24981","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 26, 40, 78, 152, 274, 456, 710, 1048?\nAnswer: 1482","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g + 3*h = 2 + 5, 3*h = -5*g + 8 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) be the first derivative of 4\/3*o**3 + 1\/4*o**4 + 54 + 1\/2*o**2 + 3*o. Give x(-3).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 189481037 equal to 947405188\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -29 divided by -91685.\nAnswer: 29\/91685","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*z - 83 = 9*z + 3*r, 0 = 4*z - 5*r - 169. Let o be ((-2)\/(-4))\/((-1)\/4). Does 13 divide 0 + (0 - 1) - z\/o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 584 and 1095?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -5 - 16307708?\nAnswer: -16307713","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the second derivative of -k**6\/40 - k**5\/50 + k**2 - 2*k. Let r(o) be the first derivative of q(o). Factor r(i).\nAnswer: -3*i**2*(5*i + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -23*u + 130. Let l be r(5). Let j be -3*((-80)\/l + 4). Solve k = f - j, 2 = 5*k - 3 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -74518.08853 to the nearest one hundred.\nAnswer: -74500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2952355 or 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2, 79, -2\/3, 0.3, -4, -0.2, 1601?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -6181*i + 95. Is r(-2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 7 + (-3 + -1 - -1). Let l be (12 - 14)*(-6)\/q. Solve -s = 5*i + 17, i + 11 = -l*s - s for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.1 + -0.1. Let q = 5.2 + -7.2. Which is smaller: b or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 112 + -175. Let t be (-4)\/18 - 77\/o. Let m(n) = n**3 - 2*n**2 + 1. Let y be m(t). What is the closest to 2\/3 in -2\/5, y, 5?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 125.2575 years?\nAnswer: 0.1252575","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 + 3 = -2*n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 822.9455 centuries to decades.\nAnswer: 8229.455","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -29920, -29889, -29860, -29833, -29808, -29785?\n\"Answer: -q**2 + 34*q - 29953","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 27, -3, 5, 1 in descending order.\nAnswer: 27, 5, 3, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) be the third derivative of -1\/60*k**5 + 3*k**2 + 0*k**4 + 0*k**3 + 0*k + 0. Factor x(d).\nAnswer: -d**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -323330240 (base 6) to base 15.\nAnswer: -78d6a0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-4) - (2158\/(-116) - (-45 - -26))?\nAnswer: 3\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -146*d**3 + 11*d**2 + 7*d + 75. Let v(w) = -97*w**3 + 8*w**2 + 5*w + 50. Let k(s) = 5*o(s) - 7*v(s). What is the first derivative of k(q) wrt q?\nAnswer: -153*q**2 - 2*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5871 is divided by 164?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -g**3 - 6*g**2 + 7*g - 1. Let b be (-63)\/6*(-2)\/(-3). Let c be y(b). Let a(s) = 8*s**2 - 2*s - 1. What are the prime factors of a(c)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 2*r**3 - 3*r**2 - 3*r - 4. Let h = -10 - 5. Let f = h + 19. Let j(m) = -8 - 11 + 14 - 4*m**2 - f*m + 0*m**3 + 2*m**3. Calculate -4*i(q) + 3*j(q).\nAnswer: -2*q**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*-4*sqrt(65)*1)\/(5*sqrt(5)*1 + (sqrt(5) - sqrt(60)\/(sqrt(12) + sqrt(36)\/sqrt(3)))))**2.\nAnswer: 832\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 2*j. Let i(p) = -p**2 + 3065*p - 3065*p. Calculate i(q(n)).\nAnswer: -4*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the third derivative of 13*s**6\/20 + 11*s**5\/30 - 39*s**2. Find the third derivative of k(l) wrt l.\nAnswer: 468","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, 3, -19.\nAnswer: -19, -10, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (4242\/(-202)*4\/98)\/(-3)\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -706, 3, -3, 1\/5, 0.1.\nAnswer: -706, -3, 0.1, 1\/5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 83271.61t to kilograms.\nAnswer: 83271610","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4925.\nAnswer: 5, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 68394?\nAnswer: 2, 3, 11399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 18 = 3*r, 5 = -4*r - 3. Suppose -2*u - 26 = 4*p, 3*u - c*p + 8 = -13. Let y be (-3)\/u + 3\/(-18). Sort y, -3, -5 in ascending order.\nAnswer: -5, -3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -k**2 - 7*k + 4. Let q be c(-5). Let u be (-56)\/q + 52\/14. Let b = 40 + -119\/3. What is the third biggest value in u, 6, b?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-3)\/6)\/((-5)\/13610) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 544*o - 22893. Determine t(42).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rmf when three letters picked without replacement from rlmflfmllmplfllml.\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ogooogooggoooo. Give prob of sequence oog.\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -35359284 and -11580.7?\nAnswer: 35347703.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 0, 22, -67, 14.\nAnswer: -67, 0, 4, 14, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -53 less than or equal to 0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -52 + 3*m + 6*m - 7*m.\nAnswer: 2*m - 52","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 11 = -5*t, 0 = -3*f + 2*t + 3*t + 21. Let r(k) = 2*k**3 - 2*k**2 + 2*k - 2. Let q be r(f). Let x = 21 - q. List the prime factors of x.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -820200 rounded to the nearest ten thousand?\nAnswer: -820000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 168 + -163. Which is the second biggest value? (a) x (b) 0 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2.415 + 2.315. What is the second biggest value in l, -6, -9?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 38287 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 49294.81 litres to millilitres.\nAnswer: 49294810","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0045 take away 0.048?\nAnswer: -0.0435","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 24296?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8018.\nAnswer: 2, 19, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 12 + -13. Let n = y + 1.1. Suppose -4*j - 5 = z + 3, -3*z - 13 = j. Which is the closest to j? (a) n (b) 0.04 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -6*((-155)\/(-30) - 5)*-9. What is the hundreds digit of -1 - -44*(y + 8)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*q + 2*q + 11 = -2*m, 2*m + 5 = 3*q. Calculate the greatest common factor of q and 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -7*z**3 - 6*z - 4. Let r(f) = -f**3 + 4*f**2 + f + 7. Let v be r(4). Let l(s) = 13*s**3 + 6*s + 5*s + 8 - 1. What is v*h(u) + 6*l(u)?\nAnswer: u**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w**3 - 813*w**2 + 4008*w - 4788 = 0. Calculate w.\nAnswer: 2, 3, 266","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -40.03464 - -0.01064. Let s = -0.024 - v. Let o = 40.59 - s. What is o rounded to one decimal place?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 36 and 20?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1431 a factor of 723520315?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*z - 36 = -8*z. Is (-26487)\/z + (-3)\/(10 + 2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 2*b**4 + 54*b**3 + 198*b**2 + 18*b. Let m(u) = 3*u**4 + 53*u**3 + 195*u**2 + 21*u. Let v(q) = -6*m(q) + 7*t(q). Factor v(x).\nAnswer: -4*x**2*(x - 18)*(x + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 30 and 141?\nAnswer: 1410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 55 = 4*l + l, -4*c - 4*l = -68. Let d = c - -6. Solve -4*q = j - 2*q - 13, -d = -j - 4*q for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 5*j + 4 = -6, s + 3*j - 2 = 0. Suppose 2*x = -8, -s*i - 5*x + 6 - 1 = 0. Solve -c - 15 = c - 5*p, -5*p = 2*c + i for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -k**2 + k + 2. Give i(2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -16308222*o**2 - 60237978 with respect to o.\nAnswer: -32616444*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1212002122211 - -1220?\nAnswer: 1212002201201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that -120132\/7*u**2 - 59643\/7*u - 61338\/7*u**3 - 852\/7*u**4 - 3\/7*u**5 + 0 = 0.\nAnswer: -141, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -d, -2*d + 12 = -3*n - 6. Sort -401, 0, n in descending order.\nAnswer: 0, n, -401","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3600?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 307 + -308. Let r = -2 - -1. Let p be ((z + 2)*(1 + r))\/1. Sort 2, -18, p, 4 in increasing order.\nAnswer: -18, p, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 797606.4 nanograms to micrograms.\nAnswer: 797.6064","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -13491 and -5?\nAnswer: 67455","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 31\/985 and (468\/1456)\/(-1 + 22\/32).\nAnswer: 6895","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 64?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1161.4461 months to decades.\nAnswer: 9.6787175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-32 + 42 + 112 - 34 + 4 + 146)*(-27*d**2 + 57*d**2 + 64*d**2) in the form b*d + k + n*d**2 and give n.\nAnswer: 22372","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -785*c**3 + 268460*c**2 - 6673005*c - 85050 = 0 for c.\nAnswer: -2\/157, 27, 315","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-6)\/33 - 84\/22. Calculate the common denominator of 59\/6 and -18*p\/((-80)\/(-11)).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -30*h**3 - h**2 + 3*h - 2. Let z be w(1). Let m = 4 - z. What are the prime factors of m?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 15) to base 9\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the first derivative of -9*f + 1\/2*f**2 + 69. Calculate m(4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4\/5 - -6\/5. Let o = -3 + -2. Which is the nearest to k? (a) o (b) 3 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1135, 2268, 3403, 4540?\nAnswer: 5679","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 4*h**2 + 20*h + 8. Let s be f(-7). Let i = 241 - s. List the prime factors of i + 5 + -1 + -9.\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5595511 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 397 (base 12) to base 14\nAnswer: 2b1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*o**2 - 36*o**2 + 487*o**2 + 1162*o**2 + 1299*o**2.\nAnswer: 2892*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 37766 is divided by 12569.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 154271 to the nearest integer?\nAnswer: 393","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -264752 divided by -1\nAnswer: 264752","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -127*w**3 + 107*w**3 + 21*w**3.\nAnswer: w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 177583 is divided by 25366.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -281 + 149. Let v be (-4)\/(-14) + m\/(-28). Suppose -5*p + q = -11, 3*p - q - v = 2. What is the highest common divisor of p and 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 126 and 8.\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -21*s + 96. What is the hundreds digit of r(-14)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 4, t: 3, y: 5}. Give prob of picking 1 u and 1 t.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -13985*j. Let t(u) = -5*u**2. What is t(o(q))?\nAnswer: -977901125*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -3 - 112*d**2 - 3*d + 0*d + 114*d**2. Let w be z(3). What is the highest common divisor of w and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 76, 110, 142, 172, 200?\nAnswer: 226","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the first derivative of -s**4\/22 + 152*s**3\/33 - 13. Let n(u) = 0. What is u?\nAnswer: 0, 76","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20539315 rounded to the nearest one hundred thousand?\nAnswer: 20500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (14 + 1)*(-1110)\/1665?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/(-4)*-3*24\/(-9). Which is greater: y or 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -188, -410, -1006, -2162, -4064, -6898, -10850, -16106?\n\"Answer: -31*o**3 - o**2 - 2*o - 154","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -221\/573 - -10\/191. Which is bigger: -48 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-297)\/(-42) - 9)*(-77)\/66*11\/231?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 509.\nAnswer: 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by 3764\nAnswer: 3\/3764","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is (-35)\/14*2\/(-5)*1643 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (4\/(-2) - -39) + -2. Let y = -23 + f. Let a = y + -11. What is the least common multiple of a and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -w**2 - 13*w + 11. Let h be v(-8). What is the remainder when h + (3 - 0) + (-19 - -15) is divided by 11?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.2538791094361 from -74.\nAnswer: -74.2538791094361","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -25 divided by -9621366\nAnswer: 25\/9621366","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (80*s + 34*s + 88*s)*(-3 + 5 - 3)*(1 - 1 - 3*s)*(-1 + 8 + 0).\nAnswer: 4242*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 7104 and 1920.\nAnswer: 71040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 3406 (base 10) to base 3\nAnswer: 11200011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 3*w - 12. Let g be (-3)\/(-2)*80\/15. Suppose -26 = -s + 3*f, 3*s - 5*f + g = 6*s. Does 7 divide u(s)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*b + 5620 = -784 - 7690. Is b greater than or equal to 484?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6 in -6, -1\/6, 199?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5787343.\nAnswer: 19, 304597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m = -z, 3*m + 15 = -3*z + 24 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -29432287\/10860 - 41\/3620. Let z = b - -2693. Calculate the common denominator of -79\/2 and z.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 7*z - 11. Solve -z*c = -9*c - c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in p**2 + 6*p**2 - 211 - 40 + 18 + 4*p**2 + p.\nAnswer: 11*p**2 + p - 233","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 244242788 to the power of 1\/3, to the nearest integer?\nAnswer: 625","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 353 minutes after 2:58 AM?\nAnswer: 8:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(1377) - sqrt(1377))**2 + sqrt(51)\/sqrt(12).\nAnswer: sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 180512419?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 13, x: 6}. Give prob of sequence xx.\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + -12 - -14 - (-3 + 1).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1668347910 to the power of 1\/9, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -223911*m**2*z**3 + 4*m*z**3 - 11363*m + z**3 wrt m.\nAnswer: -447822*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3603 - -3?\nAnswer: 3606","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -59871468 divided by 30284\nAnswer: -1977","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2122 - -20?\nAnswer: -2102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 8 - 4. Let d = 11 + -9. Suppose 3*w + 0*w - 39 = -2*t, d*w = c*t - 102. What is the remainder when t is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is four thirds of a day in hours?\nAnswer: 32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.045 - -11.445. Let r = 11 - s. Let m = 0.2 - 0.3. Which is the second smallest value? (a) r (b) m (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 65446 and 43?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is a in a**4\/4 + 3*a**3\/2 - 11*a\/2 + 15\/4 = 0?\nAnswer: -5, -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the first derivative of -d**5\/60 + 7*d**4\/24 + 5*d**3\/3 - 39*d**2\/2 - 121. Let g(a) be the second derivative of c(a). Determine g(7).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-3)\/(7\/((-42)\/117)). Which is the second smallest value? (a) -1 (b) h (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -27401.4 and 2.\nAnswer: -54802.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 223, 222, 221, 220, 219?\n\"Answer: -x + 224","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 5*t - 2*t, -25 = 3*a - 2*t. Let v be ((-5)\/(-45)*-2)\/(50\/(-225)). Sort v, a, 5.\nAnswer: a, v, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -15225, 3, -3, 1 in increasing order.\nAnswer: -15225, -3, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5 + 30. Let v = x - 17. What are the prime factors of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 5\/332 and -31\/996.\nAnswer: 996","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -0.074 (b) 0.4 (c) -4 (d) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 159 minutes before 11:47 PM?\nAnswer: 9:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 257 = -2*l + 3*l. Suppose 2701 - l = 26*o. What is the tens digit of o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1223460?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9460.\nAnswer: 2, 5, 11, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -16 + 14. Find the common denominator of 43\/c*(-8)\/(-16) and -27\/22.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.2 - -3.2. Which is the nearest to 0? (a) -5 (b) j (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3039, -6079, -9119, -12159, -15199?\nAnswer: -18239","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 88920 or -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 6091 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: Is 99759771421 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 38\/7, -1\/2, 0.2?\nAnswer: 38\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -8339 divided by 5077\nAnswer: -8339\/5077","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0673 times -0.1?\nAnswer: -0.00673","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000006739 rounded to six dps?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7.5 + -7. Let d = j - 0.3. Which is the closest to d? (a) -0.1 (b) 2\/9 (c) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-5\/4)*d\/((d**30\/d)\/d*d))\/((d*d**(1\/18)*d)\/(d*d\/d**1*d)) assuming d is positive.\nAnswer: d**(-1055\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 164630 and 1616?\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does -1122208 = -1122208?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Work out -1820724 - -0.3.\nAnswer: -1820723.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/3*4518\/(-15060)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 562765645.\nAnswer: 5, 13, 8657933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1036, -2104, -3196, -4324, -5500, -6736, -8044?\nAnswer: -9436","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 23 = 2*j - 3*r, 0 = 2*j + 5*r + 5. Put j, 4, -24, 9, 2 in ascending order.\nAnswer: -24, j, 2, 4, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 142*z - 4460. Determine r(30).\nAnswer: -200","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence klk when three letters picked without replacement from lkkkkllkkkkkkkkkkkkl.\nAnswer: 8\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f = -5*s + 41, 0 = 4*f - 25*s + 26*s - 32 for f.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 99.2 (b) 4\/3 (c) 0.4 (d) -35 (e) 113 (f) -1\/2 (g) -0.2\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 4*b**2 + 17*b + 10. Calculate the remainder when u(-9) is divided by 38.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3429500 divided by -20.\nAnswer: -171475","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 9 + 93. What is the units digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*w**3 + 2*w**3 + 63206 - 14*w**3 - 18*w**3 - 63204.\nAnswer: -33*w**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 753, -0.5, 0, -2\/35, 5, -2\/19 in ascending order.\nAnswer: -0.5, -2\/19, -2\/35, 0, 5, 753","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 8 - 9*n**2 + 5*n**2 - 9. Let a(d) = 1. What is a(p) + z(p)?\nAnswer: -4*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = -4*q + 8*q - 24, 20 = 4*q - o. Solve d + 7 = -4*j, -2*j - 9 = q*d + 5 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3219738889 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 1. Let x(l) = 2*l**2 + 2*l - 3. Calculate -3*o(t) - x(t).\nAnswer: -2*t**2 - 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = -4*g - 168, 7*y - 344 = 3*y + 4*g. Let a be ((-7)\/28)\/((-2)\/y). What is the third derivative of -7*s + 17*s - 10*s + 13*s**4 + a*s**2 wrt s?\nAnswer: 312*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -86*v - 561 - 127 = 0 for v.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2 + -158?\nAnswer: -161","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(((-294)\/(-9))\/14)?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1554\/130 + -5 + 2. Let x = -44\/5 + w. Let i = -0.04 + 1.04. Which is the second smallest value? (a) 0.1 (b) x (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2507454?\nAnswer: 2, 3, 139303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y - 4*k = 33, -y + 5*k + 69 = 47 for y.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2499 and 1470.\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*h**2 + 6*h**2 + 13*h**2 + 4 - 18*h**2 + 3*h**2.\nAnswer: h**2 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -69\/26672432 and 11\/14.\nAnswer: 186707024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.951182 tonnes in grams?\nAnswer: 5951182","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -8 - -11?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -158*v**2 + 0*v + 0*v.\nAnswer: -158*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-2811)\/(-15) + -6)*685 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27989 to the power of 1\/6, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(88)\/(sqrt(891) - sqrt(11)))**2.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -88402*m**2*n*t**3 - m**2*t + m*n**2*t**3 + 11*m*n**2*t**2 - 2*m*n**2 + 2*n*t**2 + 50*n wrt t.\nAnswer: -530412*m**2*n + 6*m*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0968 less than 511288548?\nAnswer: 511288548.0968","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -57*n + 529. Let d be r(9). What is the highest common divisor of 10 and d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 228 = p, -2*k + 413 = 3*p - 251. Does 28 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 217 + -2385\/11. What is the common denominator of 1\/(5\/((-3050)\/(-80))) and h?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -5*l - 17. Suppose -5*r = 5*w + 15, w + 0*r = -4*r + 3. Calculate the least common multiple of g(w) and 7.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.4 (b) -1 (c) 0.06 (d) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -12090 - -12092. Let m(f) be the third derivative of 0*f**3 + 0 + 1\/12*f**4 + 0*f - 6*f**w. Let n(u) = 3*u - 9. Calculate n(m(j)).\nAnswer: 6*j - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand -x**5 - x**5 - 3*x**3 + 4*x**3 + (-5*x + 7*x - 4*x)*(-4*x**4 + 20*x**4 - 8*x**4) + x**5 + x**5 - x**5.\nAnswer: -17*x**5 + x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 = -5*r - l, -2*l + 24 = 3*r - 3*l. Find the first derivative of 38 - r*m - 16 - 7 wrt m.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1489722 to the nearest integer?\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 60*z - 60*z + 1391*z**2.\nAnswer: 1391*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -w**3 + 4*w**2 + 4*w + 6. Calculate y(5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2836.\nAnswer: 2, 709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/z**(-1))**23*(z\/((z\/z**0*z)\/z))**(3\/14) assuming z is positive.\nAnswer: z**46","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1202 + -1167. Suppose 21 = 5*a - 9. What is the remainder when l is divided by a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -54 - -1 - (12 + -29 + -1 + 14) - -10?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5287165676 + 5287165673.570000187. Let i = -2.43 - g. Round i to 7 dps.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*k**2\/7 - 147510*k\/7 - 147512\/7.\nAnswer: 2*(k - 73756)*(k + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13775.\nAnswer: 5, 19, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*m**2 - 6*m - 8*m - 2 + 12*m)*(4*m - 2*m + 0*m).\nAnswer: -10*m**3 - 4*m**2 - 4*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -2*x + 3*x - 2 + 9 - 1. Let b be a(0). Find the second derivative of 5*p**2 - b*p**2 - 2*p - p**2 wrt p.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 19923 and 63891.\nAnswer: 687","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = d + 5*r, 0*d + 2*r = 2*d - 4. Suppose d*c + 2*b - 20 = 0, 0*b + 16 = 4*c + b. Solve 2*f = 3*f - c for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 55153*p**4 + 14071*p**2 wrt p?\nAnswer: 1323672*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - -7 - (4 + 1).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in a - 67*a**2 - a - 454*a**2.\nAnswer: -521*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is b in -348*b**2 + 9*b = 0?\nAnswer: 0, 3\/116","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*o - 20, -2*b = -44*o + 42*o + 14 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) be the second derivative of -5*s**7\/42 + 4*s**6\/3 - 160*s**4\/3 + 640*s**3\/3 + 6*s - 26. What is g in j(g) = 0?\nAnswer: -4, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(1089)*3)\/(sqrt(3) - (sqrt(3) + sqrt(27) + sqrt(3))*-2) + -3.\nAnswer: 1 + 3*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2\/6*-3)\/((-2)\/8). Solve g - i*g + 12 = 0 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.4 times 1413?\nAnswer: -1978.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 37886\/9 - 4217. What is the common denominator of -81\/4 and f?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -y**2 - 3*y - 3. Let u(n) = -n**2 - n - 1. Let s(i) = 2*k(i) - 6*u(i). Let t(h) = -4*h. Calculate t(s(l)).\nAnswer: -16*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 110910522*k**5 + k**4 - 151*k - 154900 wrt k.\nAnswer: 2218210440*k**3 + 12*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = -4*g + 14 + 22, g + u - 11 = 0. Let o be 4*5 - (9 - g). Suppose -66 = -2*z - o. What is the units digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in three fifths of a microgram?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*l - 42*l - 74 = -128. Let i(a) = -9*a - 4. Let u(s) = 10*s + 5. Calculate l*i(m) + 5*u(m).\nAnswer: -4*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2 - -2.5. Let u(p) = 17*p + 51. Let n be u(-3). Suppose 0 = b - 1, -4*x + 2*x + 4*b = 6. What is the third smallest value in n, c, x?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*c = -2*o + 14*c, -3*c + 12 = -o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 10*s**2 - 1609*s - 276. Give t(161).\nAnswer: -115","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 60631220 a multiple of 230?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1371555 and 21020.\nAnswer: 5486220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from exxeeepteeteeekex. Give prob of sequence xket.\nAnswer: 1\/952","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) be the third derivative of 1\/120*g**6 - g**3 + 0 + 35*g**2 + 0*g + 3\/20*g**5 + 7\/24*g**4. What is s(-8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - -14 - 23 - -9.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 t when four letters picked without replacement from {t: 4}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 68 and 74370.\nAnswer: 2528580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 375 is divided by 27?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.04? (a) 4\/5 (b) 5 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) be the second derivative of o**3\/3 + o**2\/2 + o. Let f be v(7). Let k = f - 15. Solve 5*t = -k*t - 10 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 6*f = -4*s + 2031, 0 = 2*s. Are f and -679 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41057955277 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*n + 70*n + 31*n - 9*n.\nAnswer: 95*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4553941\/852 - 5345. Let s = -1467\/284 - g. Calculate the common denominator of s and (-1)\/(-2) - (-357)\/(-28).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -5023568 to the nearest 1000000.\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 41, 74, 107, 140?\n\"Answer: 33*t + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 4*u - 18 = 0, -10 = -g + 4*u - 0. Let r be (6\/2)\/(6\/8). Let o be (3 + 33\/(-12))*(20 - 0). Solve -3*b - r = -g*n, o*n = -3*b + 6*b + 1 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -104 = -4*y - f, -38 = 2*y - 4*y + 3*f. Suppose 0 = -2*o - 5*z + 60, -z = 4*o + y - 181. What is the units digit of o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1 - a183c?\nAnswer: -a183d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Total of -7770 and -18606869.\nAnswer: -18614639","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c**3\/6 - 11*c**2 + c\/6 + 11 = 0. What is c?\nAnswer: -66, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -51*d. Let j(w) = -w. Let i(k) = 6*k. Let b(s) = -i(s) - 5*j(s). Let v(n) = -2*n. Let p(h) = -14*b(h) + 6*v(h). Calculate p(t(f)).\nAnswer: -102*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47*b - 54905 = -232283. Is -3775 < b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = -5*r + 3153, -3*t - 3*r = -14610 + 5163. Let s be t\/18 - (448\/(-63) + 7). Let d = s + 268. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 527, 528, 529, 530?\nAnswer: 531","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(2880) + 0 + sqrt(45) + 0.\nAnswer: 27*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4 + -4. Let s = 4 - o. List the prime factors of s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 4 = -6*q. List the prime factors of 3 - (q + 0\/4).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (20 - (-28 + 25)) + -41. Which is the nearest to -1\/3? (a) 0.13 (b) f (c) 1 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000300213849 rounded to 7 dps?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (27\/(-72)*-4)\/33*6?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4*(-12)\/(-16) + 55?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21437 = 3*j + 3*h - 42897 + 21424, j = -5*h + 40 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 16\/264281 and 73\/987.\nAnswer: 5549901","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 357 is divided by 91?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 32*n**2 - 142*n + 1040. Let h be x(8). What is the greatest common divisor of h and 224?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((2\/3)\/(45\/27))\/((-47)\/(1175\/(-2))).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-63)\/(-42)*(-2)\/8*4?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-59*m - 35*m + 7*m)*(3*m**4 - 4*m**4 - 3*m**4).\nAnswer: 348*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 42094?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.24051788818 to three dps.\nAnswer: -0.241","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) be the first derivative of -3*q**4\/2 - 11*q**2\/2 - 14. Let s(x) = -x**3 - 2*x. Give 2*k(i) - 11*s(i).\nAnswer: -i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 3575855 a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7568*8412.\nAnswer: 63662016","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*a**2 + 0*a**2 + 33275 - 33530 - 3*a**3.\nAnswer: -3*a**3 - 255","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 3*d = -8, -3*d + 0 = 6. What is the second derivative of -u - 4*u + 2*u**s + 0*u**2 wrt u?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 8180, -1\/54, 5, 0.2, -5?\nAnswer: 8180","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 12343861681 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-4)\/6 + 14\/(-6). Let v be (18\/(-2))\/(a\/(-2)). Let g = v + 4. Let u(f) = -3*f - 1. Calculate u(g).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x**3\/3 + 118*x**2 - 1130*x - 1251362\/3 = 0.\nAnswer: -49, 113","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 20 and 548?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -30536 (base 8) to base 10\nAnswer: -12638","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 (base 10) in base 13?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zzzzzzzzz. What is prob of picking 4 z?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1103970723 to the power of 1\/4, to the nearest integer?\nAnswer: 182","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 times -3.7?\nAnswer: 1.85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*d**3 + 0 + 0)*(3 + 1 - 6)*(1 + 4 - 6 + (3 + 1 - 1)*(4 - 3 + 0)) to b*d**3 + v*d**2 + j*d + t and give b.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 17187?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.5312 + 0.4862. What is j rounded to one dp?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.74 - 0.34. Let t = -0.1 + 0.2. Let y = 0.4 + t. Sort -2, v, y.\nAnswer: -2, v, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 4*a**2. Let n(h) be the second derivative of 6269 - h**4 + h - 2*h**4 - 6268. Determine n(w(f)).\nAnswer: -576*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*m**2 + 2*m**2 + 7*m + 25*m**3 + 11*m**3 - 10*m.\nAnswer: 36*m**3 + 4*m**2 - 3*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 4*i**3 + 10*i**2 + 10*i + 10. Let g(u) = -16*u**3 - 39*u**2 - 39*u - 39. Let a(c) = 4*g(c) + 18*x(c). Let l(q) = q**2 + q + 1. Give a(z) - 24*l(z).\nAnswer: 8*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/(-1)*(0 + 2). Let v = l - 4. Solve -2*h = -v*h - 8 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3698819 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*i + 12 - 103. Let l be i\/(-1) - (-16)\/8. Let o(z) = -z**2 + z + 2. Let g be o(0). Solve -f = g*f - l for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 72*o**2 - 29*o. Let j be u(1). Is j not equal to 394\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 78118 is divided by 25891?\nAnswer: 445","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 141 - 2?\nAnswer: 134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-144)\/64*(-2)\/9\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = l**2 + 16*l + 25. Suppose 5*v = 7*v - 434. Let r = -231 + v. Determine k(r).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/(-5))\/(95\/1900)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4520232209 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:57 AM and 4:25 PM?\nAnswer: 688","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2273 + 2267 - 6818 + 4311*k + 2275 to p + c*k and give c.\nAnswer: 4311","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that j**3\/3 + 3*j**2 - 40*j - 1100\/3 = 0.\nAnswer: -10, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*s - 202 - 71. Calculate the highest common factor of 21 and s.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5, 5, 15?\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 4315297?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:45 PM and 4:58 PM?\nAnswer: 253","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Product of -28.387 and -5.\nAnswer: 141.935","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of g*k*m + 6*g*m - 3*g*o**2 - 2*g - 2*k*m**2 + 417*k*o**2 - 8*m**2*o - 201*m wrt o.\nAnswer: -6*g*o + 834*k*o - 8*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in 0.3, -830, 2\/3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-299 + 17517790\/58590)\/(2\/(-9) - (-16)\/18)?\nAnswer: -1\/63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 24 times 0.42\nAnswer: 10.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -3*q**3 - 18*q**2 - 65*q - 74. Does 20 divide x(-14)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 z when two letters picked without replacement from {z: 16, u: 4}.\nAnswer: 32\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) be the third derivative of -s**6\/24 + 269*s**5\/2 - 5375*s**4\/8 + 4030*s**3\/3 - 1648*s**2. What is r in j(r) = 0?\nAnswer: 1, 1612","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4524927?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5932*s + 1036*s + 1031*s + 3865*s + 10*s**2.\nAnswer: 10*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -14965 + 28429. What are the prime factors of u?\nAnswer: 2, 3, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 133*q + 12. Let u be j(11). Suppose -u = -5*t - 2*l, t - 3*t + 2*l + 576 = 0. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -9 (b) 11 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 204233652 a multiple of 3841?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.4 (b) 2 (c) 1 (d) 0.1 (e) -1.5382\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 2, v: 1, p: 4}. What is prob of picking 3 p?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 12 - 12 - 2*i. Suppose m + 2*f - 25 = 27, 4*f = 5*m - 190. Let b(v) = -v**2 + 42*v - m*v. What is b(x(t))?\nAnswer: -4*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) be the second derivative of -n**7\/7560 - n**6\/360 - n**5\/40 - n**4\/6 + 4*n. Let h(k) be the third derivative of t(k). Factor h(p).\nAnswer: -(p + 3)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 140 + 9*o**3 - 33 - 18 + 53*o**3 in the form q + i*o + f*o**3 + r*o**2 and give q.\nAnswer: 89","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 175.40505 months in years?\nAnswer: 14.6170875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -62*w + 1275. Let q(l) = -9*l + 1. Determine 14*q(a) - 2*z(a).\nAnswer: -2*a - 2536","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 368*b + 363*b + 1392 = 760*b for b.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 92\/8*((-108)\/27)\/(-2).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 2040034?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.3815 to two dps.\nAnswer: 0.38","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = 25, k - 4 = 5*f - 29. Let i(m) = 3*m**2 - 11*m + 4. Let h be i(f). Solve -h = 2*w - 0*w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 7 + 1)*(-3*y**2 + y**2 + y**2) + (3*y + 0 + 0)*(0*y + y - 2*y) in the form s*y**2 + p*y + z and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.003400613 rounded to four dps?\nAnswer: 0.0034","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2 + -1. Suppose 5*j = -47 - 58. Let c be (-22)\/7 + (-3)\/j. Sort l, 4, c in decreasing order.\nAnswer: 4, l, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6.04 - -0.04. Let b = 6.006 + a. Let u = b - 0.00600084. What is u rounded to seven decimal places?\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 4*x = 4, 0 = -3*g + 8*g - x - 3. Are g and -3\/73 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -x - 1 + 1 + 2*x + 0*x + x + (4 - 4 + 2)*(2*x - 2*x + 2*x) - 70*x - 602*x - 167*x.\nAnswer: -833*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 6, v: 6, x: 7}. What is prob of sequence vxv?\nAnswer: 35\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 127502.9ug?\nAnswer: 0.0000001275029","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -29 - -81. Calculate the greatest common factor of n and 572.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 302*s - 67*s - 113*s in the form u + b*s and give b.\nAnswer: 122","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2353 - -2779.9. Let f = s + -427. Which is the closest to f? (a) 0 (b) 2\/5 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jhrjjjjhrrrjr. What is prob of picking 2 h and 1 r?\nAnswer: 5\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 5708*6\/(-12) - 2. Let d be (-6)\/(-8) - ((-33570)\/n)\/15. Is d > -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-nine quarters of a micrometer in nanometers?\nAnswer: 14750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/3)\/(((-37788)\/(-72))\/(-47))?\nAnswer: 2\/67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -13 - (-1 + -12 + -17) - -18?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 572*l - 3 - 572*l + 48*l**2 - 155*l**2 + 2*l**3 - 104*l**2.\nAnswer: 2*l**3 - 211*l**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-208)\/10 + 3 + 80\/(-25). Let y be x\/(-14)*(-3 + 5). Solve -y*o + 9 = -5*a - 18, -4*o - 5*a = -1 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 16918.43ml?\nAnswer: 16.91843","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 29*o - 1682. Let z be r(66). What is the greatest common divisor of z and 319?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 7*v - 29. Calculate k(8).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 22 - 40. Let g = l - -22. Let o = 18 - g. What is o rounded to the nearest 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-32)\/(-96)*3\/(-1).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -14140326 (base 7) to base 12.\nAnswer: -538379","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 2062501*m - 8. Suppose 8*t - 62 = 2. Let l be n(t). What is l rounded to the nearest one million?\nAnswer: 17000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/(-6)*8)\/(38\/(-5)*150\/30)?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7656 is divided by 37?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 123321?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 4*c**3 + 3*c**2 + 2*c - 3. Let n be i(1). Let f(j) = 5*j**2 + 15*j - 5. Let p(g) = -3*g**2 - 8*g + 3. Let u(z) = 4*f(z) + 7*p(z). Give u(n).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v**(-1\/7))\/v**(-1\/11) assuming v is positive.\nAnswer: v**(73\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = 4 + 2. Let m be (1\/1)\/((-2)\/z). Let b(g) = g - 1. What is the units digit of b(m)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 63, -1 in descending order.\nAnswer: 63, 5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1.9 or -6\/5?\nAnswer: 1.9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -18 + 6*j**3 + 11*j**2 - 10*j**2 - 10 + 6 as a*j**3 + w*j + p + x*j**2 and give p.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.58 - -0.22. Let w = u + 0.26. What is the nearest to 0 in 4, -1\/4, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -3755*p - 525257. Calculate n(-140).\nAnswer: 443","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 0 - (0 - (-2 + (5 - -1)))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/3, 5, 4, 8, 0.259 in descending order.\nAnswer: 8, 5, 4, 1\/3, 0.259","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 5*q - 34*q**3 + 9*q**2 + 5 - 3*q**2 + 0*q + 4*q. Let z be b(-6). Suppose 2*n - z = -5*n. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (r**2 + 0*r**2 - 2*r**2)*(4*r + 2*r - 5*r) - 3*r**3 + r**3 + 4*r**3 + (5 + 1 - 2)*(r**3 + 0*r**3 - 2*r**3).\nAnswer: -3*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p = 5*d + 1 - 2, -26 = 1723502*p - 1723500*p - d - 3*d for p.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 20 - 4*j**4 + 6*j**4 - j + 3*j**2 - 33 + 14 to s*j**2 + d*j**3 + m + v*j**4 + h*j and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 631 - 548. Factor -35 - i - 5*w**2 - 159 - 128 - 90*w.\nAnswer: -5*(w + 9)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that 200*o**2 - 40\/3*o**3 - 4000\/3*o + 1\/3*o**4 + 10000\/3 = 0.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 16*g**2 - 7*g - 7. Let a(t) = 7 - 8 - 1 - 2*t + 5*t**2. Let l(r) = 7*a(r) - 2*x(r). Let n(v) = 2*v. Calculate n(l(y)).\nAnswer: 6*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*b**3 + 5*b - b**3 - 1171*b**2 + 10*b - 2*b + 22 + 1164*b**2 to the form t*b**2 + v + s*b + y*b**3 and give s.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u - 5*z + 1 + 3 = 0, 5*z = 2*u - 8 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -7*k**3 + 2*k**2 + 40. Let m(s) = 11*s**3 - 3*s**2 - 64. Let l(q) = -8*j(q) - 5*m(q). Let a(c) = -15*c**3 - c**2 + 2*c. Give -a(p) + l(p).\nAnswer: 16*p**3 - 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -1018*q + 3584. Let p be n(8). Which is smaller: p or -4561?\nAnswer: -4561","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -45*w - 1912. What is m(-46)?\nAnswer: 158","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100 - -101110?\nAnswer: 101010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 85 + 2363166?\nAnswer: 2363262","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, -5758, 1\/6 in ascending order.\nAnswer: -5758, -0.4, 1\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 166157 or 166158?\nAnswer: 166158","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 44449.24nm?\nAnswer: 0.04444924","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 9950150939 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7185, 14373, 21561, 28749?\nAnswer: 35937","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m - 345*b + 343*b - 18 = 0, 5*m + 26 = -4*b for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 883385?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 3*(2 + sqrt(228)\/((sqrt(144)*2)\/sqrt(12))).\nAnswer: 3*sqrt(19)\/2 + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -20.483 + 21.34. Let r = u + 2.055. Let y = r - -0.088. Is -4 at least y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 102*i**3 - 101*i**3 + 33*i**4 + i - 8*i**4 in the form j*i**2 + t*i**3 + h*i + k + o*i**4 and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12060)\/(-1740) - 8\/(-116)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10012 (base 4) to base 2.\nAnswer: 100000110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*c + 8*c - 240. Does 8 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2204235?\nAnswer: 3, 5, 11, 61, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6763319, -6763306, -6763293, -6763280?\nAnswer: -6763267","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 191 is divided by 41?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -178*k**4 + 499*k**2 + 114*k**4 - 200*k**4 wrt k?\nAnswer: -6336*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -86 - -82. Let w be t + 74\/6 - (-8)\/12. Which is smaller: w or 10?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -2.53425 and -0.0128543?\nAnswer: 2.5213957","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 529, 506, 483, 460, 437?\nAnswer: 414","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 355240 a multiple of 83?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6\/151 + -2893\/604. Find the common denominator of n and -39\/4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -1524*x + 673314. Give z(442).\nAnswer: -294","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -22*p + 11. Suppose 4*f = -5*d + 10, -3*d - 5*f + 9 = -10. Is 50 a factor of m(d)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) be the third derivative of 0*g**3 - 1\/20*g**5 + 0 + 0*g + 1\/8*g**4 + 2*g**2. What is the second derivative of b(u) wrt u?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1065224 to the nearest integer?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2672.\nAnswer: 2, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1299977 to the power of 1\/3, to the nearest integer?\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 2382469078?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -316 + 324. Solve 2*f + 2 = r for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6337 is divided by 155?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -2*p**2 + 10*p - 10. Let u = -56 + 46. Let x(q) = q**2 - 3*q + 3. What is u*x(g) - 3*t(g)?\nAnswer: -4*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 2, f: 13, r: 2, l: 2}. What is prob of sequence hl?\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -379*z - 161*z - 39*z**2 - 376*z.\nAnswer: -39*z**2 - 916*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*k**2\/7 + 156*k\/7 + 406.\nAnswer: 2*(k + 29)*(k + 49)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 110*p*y**3 - 16*p*y**2 + 5*p*y wrt y?\nAnswer: 660*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = -10*x + 10. Let f(s) be the first derivative of -1\/3*s**3 - 2*s - 2 + 0*s**x. What is the derivative of f(i) wrt i?\nAnswer: -2*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (5\/(-5))\/((-8)\/((-80)\/(-45)))?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 7, a: 4}. What is prob of picking 2 a?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 115 + -113. Find the second derivative of 0 + 9*u + 73*u**h + 12 - 6 wrt u.\nAnswer: 146","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) be the third derivative of 0*b**3 - 1\/70*b**7 + 0*b + 10*b**2 + 1\/40*b**6 + 0 - 1\/60*b**5 + 0*b**4 + 1\/336*b**8. Find s such that f(s) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the first derivative of -l**2\/2 - 2. Let u(n) be the second derivative of 5*n**3\/6 - 13*n. What is u(i(y))?\nAnswer: -5*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 2*n**3 - 14*n**2 + 8*n - 1. Calculate q(6).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 60 + -3?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(7) + -6*(sqrt(7) - sqrt(7)*-1) - (-3*sqrt(112))**2) + (2*sqrt(756) - sqrt(756) - sqrt(756))\/(5*sqrt(6)\/sqrt(2)).\nAnswer: -4032 - 44*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_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*f - 485073 = -3*j, -4*j + 4*f = -5*j + 161685. Suppose 4*n + 3*n = j. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c = 3*f - 3*c - 108, 4*f = -3*c + 123. Let q = 35 + -30. Suppose -b = 5*d - 10, 0*d + 35 = 2*b - q*d. Calculate the least common multiple of b and f.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -977 - -976.91. Let i = 0.04 - -1.87. Let v = s - i. Which is the nearest to 0? (a) 0 (b) -5 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -661063617 to the nearest one million.\nAnswer: -661000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 14814 to the power of 1\/3, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**2 + 4679*y + 79254.\nAnswer: (y + 17)*(y + 4662)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) -165 (b) -2\/5 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from skkkkksskscqqkqskkkq. What is prob of sequence qc?\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -3714400 (base 9) in base 6?\nAnswer: -111124043","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**11*t**(-2\/5))**27*(t**(9\/4)*t*t\/(t*t*t**6*t))**(-10\/7) assuming t is positive.\nAnswer: t**(20509\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5 - 3. Let l be (-1)\/4 + n + 9. Which is the closest to 0? (a) 1\/5 (b) 4 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 times 0.1766603?\nAnswer: -0.05299809","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 4*d + 36 = 0, 3*l + 2*l + 3*d = 29. Suppose 98 = -15*o + 23. Put o, -2, l in ascending order.\nAnswer: o, -2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000061023221 rounded to seven dps?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -2*d. Suppose -7 = -r - 3. Let q(o) = 2*o**2 + r - 3*o**2 - 4. Give a(q(w)).\nAnswer: 2*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -v**2 - 10*v + 1. Let g be w(-10). Let o = 0.8 + -1.1. What is the closest to 1 in g, 0.5, o?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 785527 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 19 - 13. Suppose -n = -3*a + 3. Calculate the greatest common factor of a and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 13*z**2. Let w(a) = -54*a + 4. Give j(w(g)).\nAnswer: 37908*g**2 - 5616*g + 208","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1907 - -1918. Solve 4*f + 3*l = 16, -5*f + 2*l = -2*l + v for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.0593 + 2.9407. Let v = 4.5 + 2.5. Let s = -7.2 + v. Which is the nearest to -0.2? (a) s (b) t (c) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2.6 + 0.4. Suppose 2*w = -2 + 10. What is the third smallest value in w, -0.2, v?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = s**2 - s - 1. Let j(d) = d**2 + 5*d - 11. Let g(x) = j(x) - 2*r(x). Let a be g(4). Suppose -a*u + 2*l = -0*u - 957, -319 = -u - 4*l. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2988 - 2983. Solve a*z - 3*f - 23 = 0, z - 44*f - 7 = -41*f for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -141*t - 4933. Let r be d(-35). Factor 5\/2*w + 1\/2*w**3 + 1 + 2*w**r.\nAnswer: (w + 1)**2*(w + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 73 (b) -3 (c) -2 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -227900, -455882, -683864, -911846, -1139828?\n\"Answer: -227982*r + 82","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*r**2 - 13706335*r - 794984250.\nAnswer: 5*(r - 2741325)*(r + 58)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 141, 277, 407, 531, 649, 761?\nAnswer: 867","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 80*b + 970*b + 24150 = 0 for b.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3.947 * -1267.\nAnswer: -5000.849","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = i**3 + 14*i**2 - 4*i - 39. Determine r(-14).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 591739 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 26995\/8 + -3366. Find the common denominator of g and 21\/11.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 53295928*u**3 + 455*u**2 - u - 13384 wrt u.\nAnswer: 319775568","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.3, 14, 7.269, -1\/4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: ((-312)\/(-195)*36\/32)\/((-30)\/(-150))\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 225 is divided by 38?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -15*r - 32. Let i be s(-3). Suppose i*o - 2*o = 11. Let x(g) = -g + 1. Let c be x(-2). Solve o = 2*p - c for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/15 (b) -3\/8 (c) -597 (d) 0 (e) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) -24\/17 (b) 167 (c) -2.3 (d) -7 (e) 0.5 (f) -0.2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2662043?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -t**3 - 2*t**2 + 2*t - 3. Let m(r) = r**3 + r**2 - r + 1. Let z(s) = -k(s) - 3*m(s). What is z(-2)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -a**3 - 8*a**2 - 5*a + 10. Let u be x(-8). Suppose 0 = 5*q + 25, -3*q - 125 = 3*h - u. Let s = -5 - h. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -3\/5, 7178, 25, 3, 0.3, 0.05, -3?\nAnswer: 25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1\/(-5) + 4\/(-10) - (-123219485)\/6725?\nAnswer: 2, 9161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = k**3 + 12 + 2*k - 14 + 5*k**3 - k**2. Let t be a(1). What is the greatest common factor of t and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2 - 297197?\nAnswer: -297195","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 3*q + 3*l + 1, q - 3*l = 7. Suppose q*z - z - 6 = 0. Let c(h) = 8*h + h**3 - 2*h**2 + 0*h**z - 6*h**2 + 0*h**2 - 9. Calculate c(7).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 + 1962.0312684.\nAnswer: 1961.9312684","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*v - 212 = 32*v. Suppose 61 - v = -4*l. Is ((-9)\/(-27))\/(l\/(-354)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 899*i**3 - 7*i + 29238.\nAnswer: 2697*i**2 - 7","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 3836 = 11*u. Does 137 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -57*g**5 - 29823*g**4 - 17315941*g?\nAnswer: -1140*g**3 - 357876*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v**(-20))\/v*v*v*v\/((v*v\/(v\/(v*v**(3\/14))*v)*v)\/v*v) assuming v is positive.\nAnswer: v**(-269\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 1, 7, 3\/4, 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, 0.4, -228, 1, -3\/7 in decreasing order.\nAnswer: 1, 0.4, 0.2, -3\/7, -228","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 17 = 15. Let i(x) = -188 + 174 - 2*x + m*x. Calculate the lowest common multiple of 5 and i(4).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -128*q + 51*q + 154. Let d be -1 - (21*-1)\/1. Suppose 2*f + d = -0*f + 5*b, b - 7 = f. Sort f, 4, q in decreasing order.\nAnswer: 4, q, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((d\/(d\/(d**(-1\/5)\/d)))\/d*d**(4\/9))\/(d*(d\/(d*d\/((d**0*d)\/d)))\/d*d**(-5)))**(-7\/3))**(-8\/7) assuming d is positive.\nAnswer: d**(1528\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(5\/3)*o**0)**(16\/3)\/((((o\/o**0*o*o)\/o)\/o)**14)**(-1\/3) assuming o is positive.\nAnswer: o**(122\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a - 33 + 18 = 2*l, 0 = -3*l + 3*a + 30 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 37889 (b) 3\/7 (c) 4 (d) 6 (e) -0.4 (f) 3\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - 9 - (2 - 3).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 5343*m. Let p(k) = -11701218*k. Determine -13139*d(x) - 6*p(x).\nAnswer: 5631*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 2*-2*2\/(-4)*-2\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -37719 - -263454\/7. Suppose 0 = -3*c + 3*h - 0*h - 255, -328 = 4*c + 2*h. Let d = n - c. What is the biggest value in -0.3, d, 5\/4?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/49533, -0.5, -1 in descending order.\nAnswer: -2\/49533, -0.5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(32) + sqrt(32)*2)**2 + -2 + sqrt(18).\nAnswer: 3*sqrt(2) + 286","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 8*h**2 + 5*h + 4. Let j(x) be the third derivative of x**6\/20 - x**5\/60 + x**3\/6 - 34*x**2. Let s be j(-1). List the prime factors of i(s).\nAnswer: 2, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 498, 499, 500, 501?\nAnswer: 502","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*c = -18 - 4 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -39 divided by 2404725?\nAnswer: -13\/801575","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 4626 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-5 - (-8)\/2) + (-8)\/(-4). Let i be f\/3 - 150\/(-90). Solve -28 = 3*b - 7*b + i*p, -p + 21 = 5*b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 26 - 20. Solve 0 = 3*p - x for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that -2*q**2 + 18 - 18*q + 4*q**3 + 11*q**2 - 7*q**2 - 2*q**3 - 4*q**2 = 0.\nAnswer: -3, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 483183 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = w**2 - 29*w + 245. Let t be g(15). What is the greatest common divisor of t and 2345?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o\/o**(-5\/4))\/(o*o\/(o**(-6)\/o)))\/(o**(-1))**(2\/141) assuming o is positive.\nAnswer: o**(-3235\/564)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -826*h - 55. Let b(f) = 279*f + 16. Calculate 14*b(v) + 4*l(v).\nAnswer: 602*v + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-43)\/(q*q**(-26)))\/(((q*(q\/(q\/q**32))\/q)\/q)\/q**(-9\/8)) assuming q is positive.\nAnswer: q**(-401\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 3924387 (base 10) in base 3?\nAnswer: 21101101020200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -12 - -11. Let r = 112 - 787\/7. Sort 0.1, r, w in descending order.\nAnswer: 0.1, r, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -447.7675 * 1\nAnswer: -447.7675","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -110000 (base 2) in base 6?\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2321?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 14015.09 micrograms in tonnes?\nAnswer: 0.00000001401509","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m\/m**(-2\/11)*m*m**0)\/((m\/m**(-1\/4)*m)\/(m*m*m\/(m**1*m))))\/((m*m**(-3)*m**(-3))\/((m\/(m*m**0*m))\/m)**(7\/8)) assuming m is positive.\nAnswer: m**(57\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 0.05, -3, 6231, 88, -1\/6?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 p when two letters picked without replacement from {p: 3, d: 2, x: 4}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-45 - -40) + (-3 - -20).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 90066721 divided by -1?\nAnswer: -90066721","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3951073 to the nearest integer?\nAnswer: 1988","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/1 - (-24)\/(-13). Let y = -43 - -43.1. Let r = -0.5 - -1. Which is the nearest to y? (a) 2 (b) m (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + q - 5*q + 20 = 0, 0 = -5*f - 2*q - 2. Let r = 2.1 - 1.1. Let h = r + -6. What is the nearest to 0.1 in 5, f, h?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1196 - 539*h**2 - 1861*h**2 - 2136*h**2 - 151 + 82*h**2 wrt h?\nAnswer: -8908*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 205162131?\nAnswer: 3, 79, 503, 1721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - w - 141 = 2*w, 0 = 4*q + 5*w - 152. Let i be q\/3 - 1\/3. Suppose -2*f + i + 26 = 0. What are the prime factors of f?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) be the second derivative of y**5\/20 - 5*y**4\/12 + 5*y**3\/6 - 2*y**2 + 12*y. What is m(4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/(j**(-4)\/j))\/(j*j*j**12))**(-16) assuming j is positive.\nAnswer: j**128","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 865 + 334 - 15499*a - 60 + 15501*a.\nAnswer: 2*a + 1139","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w**(-2\/3)*w))**(2\/43)\/(w**(-2))**17 assuming w is positive.\nAnswer: w**(4390\/129)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = i**3 + 10*i**2 - i + 4. Suppose 292 = 5*n + 4*a, -4*n + 67*a - 72*a = -230. Suppose -55*g + n = -61*g. Calculate p(g).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -0.36, -0.3, 1394?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, -3, -2, 1 in increasing order.\nAnswer: -7, -3, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bns when three letters picked without replacement from {u: 1, b: 2, n: 1, s: 2, h: 2}.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 1218*r - 2429*r - 684 + 1212*r as h*r + v and give v.\nAnswer: -684","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5 + (-1 - 5) + 1630?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1167.6 + -22.499?\nAnswer: -1190.099","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 70.4926 + -1.6406. Let w = -54 + -15. Let h = b + w. What is h rounded to two dps?\nAnswer: -0.15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 0.357884 minutes?\nAnswer: 21473.04","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 74 a factor of 132415866?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -3*l**2 + 49*l - 13. Let i be d(16). Factor -8\/7*t**i - 2\/7*t - 10\/7*t**2 + 0.\nAnswer: -2*t*(t + 1)*(4*t + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in 2, -5\/58, -0.2?\nAnswer: -5\/58","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put together -5 and 247860743.\nAnswer: 247860738","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4816 = -36*x + 5444. Is x at most as big as 13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 43493.87 * -0.5.\nAnswer: -21746.935","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = p**3 + 53*p**2 + 141*p + 44. List the prime factors of r(-50).\nAnswer: 2, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-7)\/(4 + 3))\/1. Let k = 48.17 - 1.17. Let c = k + -46.9. What is the nearest to i in c, 0.5, 3?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 62*p - 62 - 554 - 397 = 351 for p.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Is 413 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -863*m - 768.\nAnswer: -863","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 13*i**2 + 113*i - 445. What is d(3)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4\/59903 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x + 16 = y, 2*y + 28 = 11*x - 16*x for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 35 + -34. Which is smaller: i or 4\/7?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k + f = 15, 5*f = 2*k + 14*f - 25 for k.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3 + 5*x**2 + 4*x**3 + x**2 - 3 wrt x?\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, 37, -373 in decreasing order.\nAnswer: 37, 9, -373","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -2*c + 10. Let i(o) be the first derivative of 18 + 13 - 38 - o**2 + 9*o. Let b(g) = 5*i(g) - 4*r(g). Let h(z) = z - 2. Give 6*b(s) + 15*h(s).\nAnswer: 3*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 5*j**2 + 8*j + 2. Let r(m) be the first derivative of 283 - 4*m - 15\/2*m**2 - 3*m**3. Calculate 11*p(i) + 6*r(i).\nAnswer: i**2 - 2*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = -2*n + 6. Suppose u + 4 = n. Solve -2*y + 2*r = -u, 2*y = y - 5*r - 5 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*o - 12*o = 24. Solve o*b**2 + 0 - 16\/5*b + 98\/5*b**4 - 252\/5*b**3 = 0 for b.\nAnswer: 0, 2\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -213\/11 in 1, -0.05, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 572774 and 95.\nAnswer: 2863870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -50323832, -201295332, -452914498, -805181330, -1258095828?\n\"Answer: -50323833*p**2 - p + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -584 + 553. Let x be (-3)\/7 + k\/(-7). Solve -o + x*o + 15 = 0 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8.9 + 1.8. Which is smaller: -3 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6*d + 0*d + 4*d + 5*d + 13*d**5 + 3 wrt d?\nAnswer: 260*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the third derivative of -1\/20*h**5 - 13*h**2 + 0*h**3 + 0*h + 0*h**4 + 0. Let c(l) = -11*l. Calculate c(j(t)).\nAnswer: 33*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16251531.\nAnswer: 3, 2203, 2459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*m = -14*m + 5*z - 8, -8*z = 2*m - 24 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5*f**2*s*z - 35*f**2*s - 5*f*z**2 with respect to z.\nAnswer: -5*f**2*s - 10*f*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6\/5? (a) 1 (b) -1\/5 (c) 4 (d) 3 (e) 268\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -t + 4 + 3. Let l(f) = f**3 - f**2 + 1. Let d be l(0). Let n = d - 0. Calculate the lowest common multiple of n and t.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-16)\/k)\/k**(17\/4))**(-36\/5) assuming k is positive.\nAnswer: k**153","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of l**3 - 4*l**3 - 30*l**2 + 0*l - 2 + 41*l**2 + 0 - 6*l wrt l.\nAnswer: -18*l + 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 615451, 615181, 614913, 614647, 614383, 614121?\nAnswer: 613861","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 2*j - 2*o = -8, 3*o = -3*j + 15. Let v be j\/(-5) - 11\/(-15). Let m = 595.5 + -595. What is the closest to -2 in v, 2\/3, m?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-15)\/(-4))\/5*(4 + (-754)\/195). Which is the closest to -0.2? (a) r (b) 2\/85 (c) -1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1231, 2461, 3691?\nAnswer: 4921","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 9589 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 21699?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5750851*p**5 + 5*p**4 + 20860855*p**2 wrt p?\nAnswer: 345051060*p**2 + 120*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*u - 24 = 36*u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u + 4 = -3*t, 160*t = 165*t for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -i**3 + 6*i**2 + 5. Let t be d(6). Sort -14, t, 0 in decreasing order.\nAnswer: t, 0, -14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3230 - 1304?\nAnswer: -10034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (-265*g - 9099 + 9099)*(0*g - 4*g + 2*g)*(-2 - 1 + 5)*(-2 + 3 + 2) in the form f*g**2 + n + b*g and give f.\nAnswer: 3180","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 310 and 25900500.\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = v**3 + 5*v. Let c(a) = -a**3 + 4*a**2 - 10*a. Let h(z) = -2*z**3 + 9*z**2 - 21*z. Let q(l) = 9*c(l) - 4*h(l). Let u = 1 - 6. Give u*q(r) - 6*j(r).\nAnswer: -r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2057*j + 2062*j + 21 = -2*b, 0 = 4*j + 9*b + 39 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -83*b + 10. What is the units digit of v(-2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2*i**2 - 1)*(2 - 5*i - 2)*(1 + 1 - 3)*(-3*i**2 - 2*i**2 + 6*i**2).\nAnswer: 10*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -2*l**2 + 19*l - 6. Let n be j(9). Let q be ((-2)\/(-15)*n)\/(13\/130). Suppose 0*w - q*w = 4*i - 20, -3*i + 19 = 4*w. Solve 0 = -w*h + 13 + 3 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*p + 2*p - 5*v, -4*p = -v + 23 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/3 (b) 2\/3 (c) -19 (d) 0.5 (e) -5\/68 (f) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -41*b**2 - 5*b**2 - 33*b**2 to o*b + v + t*b**2 and give t.\nAnswer: -79","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7041232?\nAnswer: 2, 11, 3637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*n + 16 = -20. What is the third derivative of 22*h**n - 3*h**2 - 2*h**6 + 7*h - 31*h**4 + 4*h**6 wrt h?\nAnswer: 240*h**3 - 216*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -1 - (1 + -5) - -2. Let o = v + 0. Calculate the remainder when o is divided by (-1)\/(-4) + (-45)\/(-12).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 26*s - 17. List the prime factors of b(6).\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 12*g. Let n(m) = -3647259*m. Calculate k(n(c)).\nAnswer: -43767108*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-60 + 80)*(-39)\/(-5). What is the greatest common divisor of 24 and m?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000383499 rounded to 6 decimal places?\nAnswer: -0.000038","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((264\/(-1188))\/((-10)\/18))\/((-8)\/(-220)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5461*y - 2682*y + 8143*y + 323*y**3.\nAnswer: 323*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2934 + -5629. Let k = -1600 - a. Let x = k - 1096.019. What is x rounded to 1 decimal place?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a kilometer in centimeters?\nAnswer: 25000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-25)\/26 + 1)*4. Let s = -0.9 + -0.1. Let t = s - -1.3. Sort t, p, 0.\nAnswer: 0, p, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 588 minutes before 7:01 PM?\nAnswer: 9:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 0*d + d = 125, 2*h = d - 250. Let w be h\/(-100) + (-1)\/4. Suppose w + 0 = -r. Are -1 and r equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.14024 - 23.77424. Let v = 13824.034 - 13824. Let m = x + v. What is m rounded to 0 decimal places?\nAnswer: -24","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -0.2, -100, 0.5, -1\/11, 0.1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 135201310 a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2405 to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve v - 88 + 85 = 5*k, -3*v + 47 = 4*k for v.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -13330000 rounded to the nearest one million?\nAnswer: -13000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -4.2 or -22350.88?\nAnswer: -4.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k and 1 f when three letters picked without replacement from kkfkfovvk.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 7 - -99213?\nAnswer: 9921a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 87\/11 - 468\/55. What is the closest to -1\/3 in -13, s, 2\/15, 3?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/6 of a millennium in months?\nAnswer: 2000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 103175543.\nAnswer: 103175543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = 3*n - 58223, 5*n - 97015 = 28*c - 23*c. What is the tens digit of n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 150 + 2*m**3 - 331 - 3*m + 174 + 6*m to the form z + o*m**3 + c*m**2 + p*m and give p.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = -4*y + 3*i, -3*y + 3*i = 14 - 20 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -100*f + 26*f - 370 = 0 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -v**2 + 4*v. Calculate r(4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 - -9 - (2 + -7 + 0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 248880\/1700*(-35)\/42?\nAnswer: -122","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 4 + 5)*(8*i**2 - 5*i**2 + 7*i**2) + (i - i - 2*i)*(0 + 0 - i).\nAnswer: -18*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 147422 is divided by 34.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen halves of a century in months?\nAnswer: 10200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.78 from 856747.\nAnswer: 856747.78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 x when two letters picked without replacement from occoocxcc.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 4725 divided by -101?\nAnswer: -4725\/101","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from crnr. Give prob of picking 1 c and 1 n.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 208853563?\nAnswer: 29, 7201847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -52582*q**4 + 68586*q**2.\nAnswer: -1261968*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 5*r + 2*h, 35 = -10*h + 5*h. Solve -62*y + 65 = r for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*d**2 - 5*d**2 + 4302*d - 2*d**2 - 2 - 4301*d - d**4 to the form p*d + r + a*d**3 + c*d**2 + k*d**4 and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1261 + 54.8.\nAnswer: 1315.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -47863296 divided by 102.\nAnswer: -469248","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -66 - -31 - -50 - 43?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -13128 by -3282.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*t - 5*t + 2*t + (1 - 6 + 3)*(0 + 0 - t) - t + t + 3*t + 6*t - t - 3*t + (5*t - 3*t + 0*t)*(4 - 1 - 2) + t - 2*t - t - 3*t + 5*t - 6*t.\nAnswer: 5*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/11? (a) 746\/29 (b) 5 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 8 - n**2 + 16*n**2 - n - 16*n**2. Let i(l) = l - 2. Let r(w) = -b(w) - 4*i(w). Let m(k) = k - 1. Let t be m(4). What is r(t)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:12 PM and 1:32 AM?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 23\/14987994 and -8\/425565?\nAnswer: 1573739370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3185*v**2 - 7*v**3 - 47*v - 3185*v**2 + 6369*v**2)*(2 + 0 + 2) in the form c + o*v**2 + z*v + l*v**3 and give z.\nAnswer: -188","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bbbzccbczzc. Give prob of sequence bzzb.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:52 AM and 3:20 PM?\nAnswer: 388","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 693.\nAnswer: 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6, -50, -176, -426, -842, -1466, -2340, -3506?\nAnswer: -5006","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(121) + 1*sqrt(121)*1 + sqrt(121) + sqrt(121))*-2)\/(sqrt(88)\/(-1*sqrt(8)*-2)))**2.\nAnswer: 2816","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 6942153 a multiple of 55?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6*n**5 - 11*n**3 + 2*n**2 + 3*n + 1639 wrt n.\nAnswer: 120*n**3 - 66*n + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -13*a + 3 - 1 + 6*a + 5*a - a**2. Let s be i(-2). Let h(u) = 3 - 2 + u**3 - 3*u**2 + 3*u**s + 4*u**2. What is h(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, 10, -5, -55, 2, -3 in ascending order.\nAnswer: -55, -6, -5, -3, 2, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 d when two letters picked without replacement from eedheeedhee.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 687\/12 - 2\/8 is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnfebddfdqdffbe. What is prob of picking 2 b?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -1*(-1)\/((-3)\/(-12)). Let a = 1 + -1. What is the nearest to a in -0.5, x, -2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3013 + 5291 - 1092 - 85 - 294 + 1928)*(-b + 3*b + 0*b).\nAnswer: 17522*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*sqrt(2057) + 3.\nAnswer: -22*sqrt(17) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 119 + -7?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 280461, 1121791, 2524009, 4487115, 7011109?\nAnswer: 10095991","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the third derivative of 0*l**4 + 0*l**3 + 0*l + 0 + 2*l**2 - 1\/60*l**5. Let f(n) = 2*n + 0*n + 0*n. What is f(m(g))?\nAnswer: -2*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 112185847 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 269495.\nAnswer: 5, 53899","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = n**3 + n - 1. Let q = 3 + -5. Let v(x) = -x**3 - x + 1. Give q*t(b) - 3*v(b).\nAnswer: b**3 + b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange g**2 - 8844*g + 9017*g - 3*g**2 to m*g**2 + i + b*g and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 5*l - 7 = -20, -4*l = -5*u. Is (-12 + u)\/((-2)\/3) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.2 - 44.8. Let j = 45.57 + r. Round j to 1 dp.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -807 + 908. Does 3 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a millisecond in microseconds?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1065909 to the power of 1\/6, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -1 + 0 + (-10)\/(-1). Let v(z) = -z + 14. Let l be v(9). Suppose -l*t + f = 24. Put t, 1, 0 in ascending order.\nAnswer: t, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 2518.44 millimeters?\nAnswer: 2518440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = j**2 + 4*j + 4. Let w(f) = 2*f**2 + 7*f + 7. Let x = -126 + 208. Let z = -43 + x. Let t be 6\/(-7)*(-182)\/z. Determine t*w(a) - 7*m(a).\nAnswer: a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*y**2 + 119244390*y + 119244387.\nAnswer: 3*(y + 1)*(y + 39748129)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 70*o**3 + 19*o**2 - 4*o + 20. Let a(h) = -72*h**3 - 19*h**2 + 5*h - 24. Give -5*a(n) - 6*g(n).\nAnswer: -60*n**3 - 19*n**2 - n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -127841 + 356824. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1835?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -17 + 23. What is the lowest common multiple of 7 and 2\/p - (-15)\/9?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 - 4 - 2*q)*(-324*q - 36*q - 228*q) - q**2 - 3*q**2 + 2*q**2 as o*q**2 + n + f*q and give o.\nAnswer: 1174","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-78)\/(-169))\/((-143)\/(-169))?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1246732557.\nAnswer: 3, 7, 19, 151, 20693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the second derivative of -v**6\/60 + v**3\/6 - 27*v**2\/2 + 23*v. Let f(g) be the first derivative of y(g). Determine f(-1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -330*z**2 - 2\/7*z**4 - 2142*z + 0 - 118\/7*z**3 = 0.\nAnswer: -21, -17, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/29 (b) 0.4 (c) 8\/7 (d) -3 (e) 8.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 0.4996446g?\nAnswer: 0.0004996446","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 3 + sqrt(17) + (sqrt(17) - (sqrt(17) + (sqrt(425) - sqrt(17) - sqrt(17)))*2) + 1.\nAnswer: -6*sqrt(17) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -535, -545, -559, -577, -599, -625?\nAnswer: -655","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -12795*q**2*r**3*t - 13*q**2*r**3 - 288*q*r**3*t - q*r**3 - 198*q - 3*r**3*t wrt q?\nAnswer: -25590*r**3*t - 26*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by 44?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*j**3 + 42*j**2 + 35*j**2 - 77*j**2.\nAnswer: -11*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -126*z + 924. Determine c(7).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-820 + 820 - 60*p)*(3*p**2 - 2*p**2 - 2*p**2) in the form r*p**2 + w*p**3 + u + v*p and give w.\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 64, 156, 252, 352, 456?\n\"Answer: 2*a**2 + 86*a - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7607, -15858, -24109, -32360, -40611?\nAnswer: -48862","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 10*g**2 + 15541*g - 62322. What is x(4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7.557 + -7.157. Let g = -391.07 + 384. Let d = g + 7. What is the smallest value in c, d, -3\/2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*s - s + 3*b = b - 0*b + 46, -13 = -5*s + 4*b for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q + 70 = 55 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 10\/15 + 2\/6. Let t be (-6)\/4*8\/6. Let y = 4 + t. Sort y, w, -4 in decreasing order.\nAnswer: y, w, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 482721099 and 294?\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.4? (a) -23 (b) -0.07 (c) 17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 2*h**2 + 197516*h - 790081. Calculate k(4).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(-6) + 41\/164.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9283 to the nearest integer?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16 - (-2 + -6 + 17) - (-3 + -5).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -3513.8 rounded to the nearest 10?\nAnswer: -3510","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 2, h: 3, i: 1, k: 3, v: 3, t: 2}. What is prob of picking 1 t and 1 h?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -25*(-30)\/(-120)*1\/1*96\/(-20).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 39, 2\/3, -1, -121, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:19 AM and 6:20 PM?\nAnswer: 661","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 981863100 to the nearest 100000.\nAnswer: 981900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 1663 divided by -1\nAnswer: -1663","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 97 + -93. What is the tens digit of m\/3 - (-3768)\/36?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6.8 + -2.2. Let u = -6 - z. Let r = u - 4. Put -0.4, r, -4 in ascending order.\nAnswer: -4, r, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3560076.472 rounded to the nearest 100000?\nAnswer: -3600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r*r**(-3))\/r*(r\/(r**(-1\/5)\/r))\/r)\/(((r*r*(r\/((r*r\/(r**1*r))\/r))\/r*r)\/r)\/r*r*r\/r**(-1\/3)) assuming r is positive.\nAnswer: r**(-77\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3, -39, -592?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1185, 1182, 1169, 1140, 1089, 1010?\nAnswer: 897","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 12*m - 105. Determine w(10).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - k + 4*k - 61 = 0, 0 = -k - 3. Let x = -20 - p. Suppose x = d - 19. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -24, -10, -168, 4, 5, 1 in descending order.\nAnswer: 5, 4, 1, -10, -24, -168","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(2268) + (sqrt(2268) - 1*sqrt(2268))*-4 + sqrt(2268))\/(sqrt(4) + (2*sqrt(24))\/sqrt(6) - 1*sqrt(4)*-2).\nAnswer: -54*sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (56\/(-5))\/(268\/(-1675))?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*m**2 - 495179895*m + 495179900.\nAnswer: -5*(m - 1)*(m + 99035980)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 214 + -83. What is the least common multiple of (962\/(-78) + 13)\/((-1)\/(-15) + 0) and i?\nAnswer: 1310","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 660 + -665. Let q(w) = -w**3 + 6*w**2 - 4*w - 6. Let t be q(5). Sort z, t, -33 in descending order.\nAnswer: t, z, -33","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 3573.845742237 and 4.\nAnswer: 3577.845742237","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*g**5 + 24126*g**4 + 24123*g**3.\nAnswer: 3*g**3*(g + 1)*(g + 8041)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 250 + -243. Let c(v) = 24*v**2 + v. What is the remainder when c(1) is divided by l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1856.8 - -1857. Let p = -3.2 - -3. Sort p, w, -2 in ascending order.\nAnswer: -2, p, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3 - 1 - 3 - -1. Suppose 4*p - 3*p + 2 = i. Let s be (1\/(-2))\/((-2)\/(-12)). Which is greater: s or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6*4\/(-648)*15*(-2)\/(-15).\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the first derivative of v**6\/900 - v**5\/100 - v**4\/6 + 2*v**3\/3 - 52. Let b(c) be the third derivative of u(c). Let b(y) = 0. What is y?\nAnswer: -2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -23 - (-59)\/1180*8235\/18.\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 37.76 - -303.24. Put g, -1, 3\/4 in descending order.\nAnswer: g, 3\/4, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -22 + 169684587111?\nAnswer: 169684587089","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -2 - ((-6)\/44)\/((-204)\/(-4470)). Let w = a + 7\/68. Let t = 5975\/6 - 975. Calculate the common denominator of t and w.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:45 PM and 6:20 PM?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -8321*d**2 - 21*d - 11393 with respect to d.\nAnswer: -16642*d - 21","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvvsssvvvssv. Give prob of sequence sv.\nAnswer: 35\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 4434b (base 13) in base 16?\nAnswer: 1e2d2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 27.7522 - -304441.7\nAnswer: 304469.4522","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 87 and 30?\nAnswer: 870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -2*t**2. Suppose 2*m - o - 94 = 0, 0 = 2*m + o + 3*o - 104. Let k(d) = 44*d**2 + m*d**2 - 95*d**2. Determine r(k(g)).\nAnswer: -18*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44723954 = -0*z + 2*z. Let w = z - -31861977. Round w to the nearest 1000000.\nAnswer: 10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.3, -1, -17\/3, -0.4, -6\/11?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -3*m**2 - 6. Suppose -6*p + p + 2320 = 0. Let b(n) = -2*n**2 - 471 + p - 2*n**2. Give -6*b(j) + 7*s(j).\nAnswer: 3*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 11 + -7. Let f = -1.1 - 0.9. Which is the biggest value? (a) 3\/4 (b) o (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 418544.329 to the nearest one hundred.\nAnswer: 418500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hmyjmyamjhhn. Give prob of sequence yn.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*h - 60*h = -23*h + 207 for h.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8 is divided by 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3 and -7348.9071.\nAnswer: -22046.7213","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that a**5 - 24538*a**4 - 1130820*a**3 - 1081742*a**2 + 1130819*a + 1106280 = 0.\nAnswer: -45, -1, 1, 24584","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 70*o = 68*o - 81486, -h - o = -40735. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1581 - -1822. Solve -6*z - q = -247 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1881 and 2277.\nAnswer: 43263","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(119)\/sqrt(112) - (1 + sqrt(17))*-5)*-1.\nAnswer: -21*sqrt(17)\/4 - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 198 is divided by 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1166 a multiple of 58?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = -207 + 73. What is the units digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 30, -1\/4, -56 in descending order.\nAnswer: 30, -1\/4, -56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*a - 4*h + 3*h + 19, -2*a + 2*h + 10 = 0. Suppose m = a*m - 10. Solve 0 = m*v - 6*v - 20 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -2*g - 32. Suppose -76 = 4*c - i, 4*c - 8*i + 13*i = -76. Give a(c).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 64, -1\/4, 54.84?\nAnswer: 64","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 46762 (base 8) to base 10\nAnswer: 19954","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 853.7 + -855. Suppose -8*y = y - 9. What is the nearest to y in 1, w, -0.4, -5\/3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 54524?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h, 1 b, and 1 l when three letters picked without replacement from {z: 1, b: 3, d: 1, l: 8, m: 2, h: 5}?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 160.54617 rounded to the nearest 100?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/23 in -1\/66, -3, -1\/5, 0.3?\nAnswer: -1\/66","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -129 + 308 + -123 - 60?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.07 less than -2742943246?\nAnswer: -2742943245.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*f - 3 + 2 + 1)*(0*f - 42*f - 25*f).\nAnswer: 335*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 501880863, 501880862, 501880861, 501880860, 501880859, 501880858?\n\"Answer: -t + 501880864","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-14)\/(-252))\/(15\/20).\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 5799784999 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 13013?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1661874*t**2 + 830867*t**2 + 830941*t**2.\nAnswer: -66*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 186.2 - 187. Let w = 0.2 - 1.3. Let i = w - l. What is the smallest value in -0.1, 1\/4, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 11*s + 5 - 27 + 2*s**2 + 7 + 0. Let y be d(-7). Suppose -4*k - 12 = -5*u, -y = -2*k + 4*k - u. Let h(v) = v**3 + 5*v**2 + 3*v - 3. Give h(k).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1200 + -800. Suppose 15*x = 10*x + n. Let p be (x\/6)\/2*-315. What is p rounded to the nearest one hundred?\nAnswer: -2100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2883?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 3, p: 1}. What is prob of picking 2 q?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 170\/(-35) + 5 + 10\/(-21)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 30655 - 30679. Sort -3, -280, b in descending order.\nAnswer: -3, b, -280","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + -1 - (44 - 35).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 4, j: 4, t: 8}. What is prob of sequence ttn?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (0 + (-6)\/(-5))\/(5\/25). Let g be -1 + y\/8 + 726\/88. Suppose g + 7 = 3*n, -2*n = 4*c - 26. Solve a + 25 = -c*a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*x**4\/7 - 20*x**3\/7 - 66*x**2\/7 - 72*x\/7.\nAnswer: -2*x*(x + 3)**2*(x + 4)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5 + 5. Suppose 5*d + o*d - 59 = -2*a, -5*d + 3*a + 49 = 0. Suppose 0 = -10*s + d*s - 14. List the prime factors of s.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 289 is divided by 92?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-1\/14)*v*v**(-1\/16)*v**(-1\/4)*v**(1\/4) assuming v is positive.\nAnswer: v**(97\/112)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 15\/(-20)*(-1 - 0)*4. Put s, -2, 1 in decreasing order.\nAnswer: s, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1071 and 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 709 minutes before 3:57 AM?\nAnswer: 4:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -752 by -638.\nAnswer: 376\/319","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2 + 4)\/(0 - (2 + 0)). Let h be b\/(((-18)\/(-168))\/(3\/(-2))). Find the first derivative of -h*k + 30 + 21*k - k wrt k.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1.1? (a) 0 (b) -0.5 (c) 5 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6 and 89.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -81\/8036 and 31\/102116?\nAnswer: 4186756","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -109*p**2 + 0*p - 12*p**2 - 31*p**2 - 2*p + 2 to the form d*p**2 + t + q*p and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*b**2 + 6*b**2 + 5*b**2 - 2*b**2.\nAnswer: 2*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2.354 and 0.5.\nAnswer: -1.177","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 84823 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10269\/(-5705)*5\/(-12)*(-208)\/6.\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21396 divided by -10698.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -8 + 17. Calculate the lowest common multiple of m and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 2270*q - 7073. Give m(3).\nAnswer: -263","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 244 - 3016. Let n = k - -4031. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 330 - 330.31. Put o, -0.2, 4, -5 in decreasing order.\nAnswer: 4, -0.2, o, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (30\/(-70) - 395\/(-7))\/(2 - 0).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 41 = 3*q - 20, 80 = 4*q + 5*c. Suppose q = -4*l + 9*l. Suppose l*u - 45 = 3*h, 4*u - 5*h = 19 + 41. Is 6 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -355566, -355582, -355598?\n\"Answer: -16*i - 355550","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = 5*n + 4*g, 5*g = 3*n + 24. Let i(o) = 9*o**2 + 1. Let z be i(-1). Let c = z + n. Does 7 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a centimeter in micrometers?\nAnswer: 17500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o - 119 = 4*k + 124 - 233, -5*k = -4*o + 23 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + sqrt(19) + (-1*sqrt(190))\/sqrt(10).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by -72971715?\nAnswer: 1\/14594343","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that 2*s**5\/11 - 34*s**4\/11 + 106*s**3\/11 + 322*s**2\/11 + 180*s\/11 = 0.\nAnswer: -1, 0, 9, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*s + 20*s + 10 = 0 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve n = -1350*x + 1355*x + 83, -n + 4*n + 8*x = 6*n - 221 for n.\nAnswer: 63","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -60 or -4\/47?\nAnswer: -60","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3159 or 3157?\nAnswer: 3157","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 190106321 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2b6 + 7117?\nAnswer: 7411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -c**2 + 7*c + 296. Calculate f(-15).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 154819.\nAnswer: 7, 17, 1301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 44 = -26. Solve -6*b = -4*b - k for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -w**3 - 29*w**2 - 9. Calculate c(-29).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6 + -9. Let g be 114\/15 - l\/(-5). Let n(j) = -3*j**2 - 63*j. Let d be n(-21). Solve d = -3*z + g + 8 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -121*c**3 + 59*c**3 + 66*c**3.\nAnswer: 4*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -7.6, -4, -1\/2, -37?\nAnswer: -7.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -8*k - 2. Let r(j) = -10 + 10 + 3*j + 2 + 5*j + j. Give 4*f(y) + 3*r(y).\nAnswer: -5*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((-5*-4*(sqrt(132) - 1*sqrt(132) - sqrt(132)))\/(sqrt(84)\/(sqrt(567)\/sqrt(9))))**2.\nAnswer: 158400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = -4*z + 58, 1 = a + 3. Suppose -133 = 7*w + z*w. Let l(o) = o + 6. Calculate l(w).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 3, j: 10, p: 2, e: 5}. Give prob of picking 3 j.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:31 PM and 12:58 AM?\nAnswer: 627","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 21 + -35. What is the tens digit of (-6)\/(-21) - (458\/j + -3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = 4*j + 18. Let f be 3\/(j\/1*18\/(-36)). Solve -q - y - f*y + 2 = 0, 2*q = 3*y + 13 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 29, 55, 5, 3\/5, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 6\/(-27) + 2\/9. Suppose u = 2*j + 5*d, -2*d - 3*d - 35 = -5*j. Suppose -2*y = h - 115, -j*h = -3*y - 45 + 237. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + 0 + (-51 - -47).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p + 3*o = -2*p + 42, o - 4 = 0. Let j(t) = -53*t**3 - 13*t**2 + 62*t - 30. Let u be j(p). What is u rounded to the nearest 1000?\nAnswer: -181000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29106 a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 times -6.5819?\nAnswer: -19.7457","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 156 minutes after 12:11 AM?\nAnswer: 2:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -2 - (-3 - (0 + 2)). Suppose 0 = -h*n - 0*n + 18. Let d be (-2)\/6*(-43 + 88 + -51). Solve -n*a = -4*a + d for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*t - 10*t = -4. Let p be (135\/10)\/9 + t. Put -3, -2, p in decreasing order.\nAnswer: p, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 3*r = 2*i - 42, -i - 2*r = 2. Let s be (-3)\/i + 1\/2. Solve 3*d - 4*d - 1 = s for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 205 a factor of 32651?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2, 40.6, 2\/13?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 44 and 687880?\nAnswer: 7566680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1584*m + 368*m - 8166*m - 7463*m - 13577*m - 3640*m)*(m**3 + 3*m**3 - 3*m**3).\nAnswer: -30894*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*y**4 - 46*y**3 - 5*y**2 - 9*y - 8266866 with respect to y.\nAnswer: -12*y**3 - 138*y**2 - 10*y - 9","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 13812?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:05 AM and 12:42 PM?\nAnswer: 217","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 188601\/5 + -37470. Let i = b + -250. What is the biggest value in -0.4, i, 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/63, 80, 0.5, -4, -2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5*y**4 + 102905*y**3 - 138*y**2 + 25878900*y wrt y?\nAnswer: -60*y**2 + 617430*y - 276","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -790\/63 + 109\/9. What is the closest to -0.1 in -2, 4, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-54)\/8 - 217242\/10728?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: What is 57\/2 of a year in months?\nAnswer: 342","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14*((-4998)\/(-343) + -18)?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-15*j + 32*j + 50*j)*(-2 - j + 2) as m + k*j + r*j**2 and give r.\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1001010 + 100?\nAnswer: 1001110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 450889531 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.2 (b) 86 (c) 3 (d) 1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 287940\/29 + -9930. What is the common denominator of i and -5\/6?\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -z**3 - z**2 + z - 1. Let f(r) = -6*r**3 - 7*r**2 + 4*r - 5. Let c be (-108)\/45 + 6\/(-10) - 2. Let d(p) = c*w(p) + f(p). Solve d(k) = 0 for k.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**4 - 2566*v**3 + 2565*v**2.\nAnswer: v**2*(v - 2565)*(v - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 16 and 72?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4 - (28\/16 + 6\/3). Which is the closest to -1\/4? (a) -2 (b) f (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -16544 and 0.\nAnswer: -16544","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -l + 5. Let s(z) = -z + 2. Calculate -2*r(m) + 5*s(m).\nAnswer: -3*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 15 = 5*l, 0 = -2*l - 0*s + s + 9. Suppose l - 1 = 3*d - p, 3*p = -d - 9. Let j(m) = m**2 + m + d*m + 3*m**2 - 3*m**2. Determine j(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 768?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -1\/6, -120, 78?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 d when two letters picked without replacement from {h: 2, b: 1, e: 3, c: 1, o: 3, d: 5}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -o**3 + 23*o**2 - 24*o + 2. What is t(22)?\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in one fifth of a kilogram?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*m - 27 - 18. Solve -2*h - h = m for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1 + 3. Let u be -2 - (-2 + -2 - 1). What is the second derivative of 2*k + k - t*k**u + 0*k + 0*k**3 wrt k?\nAnswer: -12*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + (0 - (-3 - -4)) - (14 + -25 + 12)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-27)\/96*((-3)\/(-17) - 1550\/(-3162)).\nAnswer: -3\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p**5\/2 - 869*p**4\/2 - 11025*p**3 - 55625*p**2 + 22051*p\/2 + 112119\/2 = 0. What is p?\nAnswer: -843, -19, -7, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.062? (a) -3\/4 (b) -1\/11 (c) -0.4 (d) -33\/5 (e) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 33112192 and 256.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.2 + 5.2. Let y = 4.7 - m. Let n = 7.4 - 9.4. What is the third smallest value in y, n, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7132, 0, 3.\nAnswer: -7132, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7783*u - 10365*u + 36931*u + 49284*u.\nAnswer: 83633*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 45879689?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*n + 0*n - n)*(n + 0*n + 0*n)*(-n + 0*n + 2*n)*(-3 - 2 + 3).\nAnswer: 6*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, 0, 0.0552, -53\/3, 6, 4\/7 in increasing order.\nAnswer: -53\/3, 0, 0.0552, 0.3, 4\/7, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 24 = -4*p. Find d, given that -37*d + 62*d - p - 116*d - 73*d - 52*d**2 = 0.\nAnswer: -3, -2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7.723 - 7.08. Let z = 4.273 - l. What is z rounded to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 46090 + -46089.99839294. Round o to 5 decimal places.\nAnswer: 0.00161","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 minutes after 6:32 AM?\nAnswer: 6:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 1, v: 1, a: 2, f: 1, k: 7, e: 2}. Give prob of sequence kkdv.\nAnswer: 1\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.09 + 0.16. Let o = y - -7.75. Let m = o + -8.2. Which is the second biggest value? (a) m (b) 2\/5 (c) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: a57aba (base 16) to base 10\nAnswer: 10844858","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-2\/5)*c)**(-29)*(c**3\/c)\/c*c*c**(2\/9))\/((c**(-1\/4))**(-27)\/(((c*c\/c**(4\/5)*c*c)\/c)\/((c*c\/c**(2\/9)*c)\/c))) assuming c is positive.\nAnswer: c**(-3871\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 46 or 161?\nAnswer: 161","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/(6\/2))\/((-58)\/(-6438)*-1).\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -z**2\/6 + 7289*z - 6320405\/6.\nAnswer: -(z - 43589)*(z - 145)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24650.\nAnswer: 2, 5, 17, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -0.1+35119\nAnswer: 35118.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that -15*k**2 - 18342*k\/7 + 305520\/7 = 0.\nAnswer: -190, 536\/35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 60736 divided by 4.\nAnswer: 15184","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 432 minutes after 11:52 AM?\nAnswer: 7:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the first derivative of p**3\/3 + 3*p**2\/2 - 4*p + 12742. Let c be (1 + -3)\/(4\/10). Determine q(c).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 c when two letters picked without replacement from nkkccnnnaaa.\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 126321 divided by 3?\nAnswer: 42107","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 8*w + 61. Let c(u) = 2*u + 1. Let z(p) = -6*c(p) + k(p). Determine z(12).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -24278832*m + 18298. Let d(v) = -5308*v + 4. Let h(l) = 2*b(l) - 9149*d(l). Let i(u) = u**2. Calculate i(h(z)).\nAnswer: 27331984*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 27, 2, -31, -66, -97, -118, -123, -106?\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -55, -179, -377, -643, -971, -1355, -1789, -2267?\nAnswer: -2783","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 353 minutes before 6:11 AM?\nAnswer: 12:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 30\/(-4)*(-8)\/12. Suppose r*c = 3*o + 142, -3*o + o - 112 = -4*c. Suppose 0 = 2*w - 2, -2*w - 2*w = -2*y + c. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4.11 + 0.11. Let f = -1.7 - -24.7. Let t = 23 - f. Sort t, 1, q.\nAnswer: q, t, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-188)\/6 + -1)\/((-104)\/312) is divided by 13?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 29\/2 of a kilometer?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 42154?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1b (base 13) to base 12.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -x**3 + 16*x**2 - 45. Let c(p) = p**2 + p + 1. Let g be c(3). What is the hundreds digit of h(g)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3288 = -3*o + 5*o. Let l(q) = 2899*q + 152. Let y be l(-4). Let b = y - o. Round b to the nearest 1000.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -55097, -110163, -165145, -220001, -274689, -329167?\n\"Answer: 7*h**3 - 55115*h + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 - (44 + -3 - 16) - -19) + -80?\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jieyyiiiyne. What is prob of picking 1 n and 1 y?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -420 (base 10) to base 4.\nAnswer: -12210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 69.9 + -42.5. Let y = -29.4 + u. Which is the second smallest value? (a) y (b) 2\/3 (c) 1 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 150240381.\nAnswer: 3, 167, 299881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1093 - 1084. Solve -x = 48*b - 51*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -j**2 - 18*j - 23. Let g be m(-17). Let l(q) = 3*q**2 + 7*q + 4. Let x be l(g). Let y = x - 64. Calculate the smallest common multiple of 64 and y.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -89*j**2 - 1. Let x(o) = -58*o**2 + 12*o. Let i(h) = 23*h**2 - 5*h. Let q(r) = 12*i(r) + 5*x(r). Calculate q(c(p)).\nAnswer: -110894*p**4 - 2492*p**2 - 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 78*f - 80*f + 8. Suppose t - 5 = -3*n + 1, 2*n - f*t - 4 = 0. Find the first derivative of 8*z**3 - 12 + 18 - n*z**3 wrt z.\nAnswer: 18*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the second derivative of 47*x**5\/20 + 10*x**3\/3 + 27*x. What is the second derivative of v(k) wrt k?\nAnswer: 282*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12*7\/(-224) + 7\/(-280).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -18 + 6?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -0.229 times -0.1\nAnswer: 0.0229","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1729754 is divided by 5785.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -n**3 - 7*n**2 + 9*n + 8. Let t be i(-8). Is -1\/6 greater than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*q - 3*q + q)*(-1 + 1 - 2) + (3 - 3 - 1)*(0 + q + 0) - 12*q - 18*q + 32*q.\nAnswer: 5*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c*c**(-5)\/c*c*c*c)\/c*c**(-2\/23)*c)**(4\/19) assuming c is positive.\nAnswer: c**(-100\/437)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10)\/(-2)*75\/(630375\/(-82)).\nAnswer: -2\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 600950 or 600948?\nAnswer: 600950","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 40\/(-6)*(-5)\/((-175)\/63).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6001860519?\nAnswer: 3, 666873391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 4 = -6. Let u(n) = -5*n + 9. Let t(a) = -6*a + 10. Let l(x) = j*u(x) - 4*t(x). What is the units digit of l(4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 175 minutes after 8:37 AM?\nAnswer: 11:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 12\/(-9) - 4\/(-6). Is u <= 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + -2*sqrt(288) + 1)*1*6*1.\nAnswer: -144*sqrt(2) - 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*u**3 + 1 - 14*u**3 - 2*u + u**2 + 3 + 7*u**3 in the form v + p*u**2 + l*u + y*u**3 and give v.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h - 6*y = -163*y + 7*y - 1815, -2*h + h = 2*y + 29 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1 + -10011110000100010101110?\nAnswer: -10011110000100010101101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.4 in 18, 4, 1, 89.07?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 13*s*t**2 + 592*s*t - 2*s + 3*t**2 + 87721 wrt s.\nAnswer: 13*t**2 + 592*t - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 6, u: 12}. Give prob of picking 3 u and 1 p.\nAnswer: 22\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 3522724014 minus -0.33359?\nAnswer: 3522724014.33359","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-6 - (-4826)\/152 - 24) + 15\/(-4)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -106392.4275 rounded to the nearest one hundred?\nAnswer: -106400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4 + 24. Suppose -u = -5*u + o. Let t(v) = 8*v - 7. Let n(i) = 7*i - 6. Calculate u*t(d) - 6*n(d).\nAnswer: -2*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 8485 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -160*j + 2*t = -159*j - 5, 5*t + 2 = 2*j. Solve 2*u + 2 = -j*s + 20*s, 5*u = s - 12 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -19 - -16. Let z be 5\/25 - u\/35. Factor 6\/7*w + z*w**2 + 4\/7.\nAnswer: 2*(w + 1)*(w + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x + 4 = 0, 17*x - 15*x + 6 = -4*r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 11 - (-6 + -20 + 12 + 20)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 291000*q**2 + 372730*q**2 + 930343*q**2 + 1252715*q**2.\nAnswer: 2846788*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 3935093 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -928, -1852, -2776, -3700, -4624, -5548?\n\"Answer: -924*k - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:25 AM and 12:47 PM?\nAnswer: 82","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -11967 - -11970. Put -1, 0, y, -2, -6 in ascending order.\nAnswer: -6, -2, -1, 0, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -15, -24, -55, -120, -231, -400, -639?\nAnswer: -960","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor h**4\/3 + 24*h**3 + 1169*h**2\/3 + 1666*h.\nAnswer: h*(h + 7)*(h + 14)*(h + 51)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17 + (-19 - -21 - 15).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -g**3 + 8*g**2 - 5*g - 9. Let x be t(7). Suppose x*o - 23 = -a, 0*a = -4*a + 12. Solve -o*j + 2*v + 26 = 4*v, -3*j = 5*v - 30 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 45\/(-18) - 6\/(-2).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 7220 (b) 36 (c) -13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*x - 4*k, -2*k - 18 - 9 = -5*x + 9 for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2 - (-10 - 2)) + -1. Suppose 0 = -5*p + d*p. Suppose p = m - 5*m. Solve 3*b - 5*r = 20, m*b + 4*r - 1 = -b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -18015.9 take away -17?\nAnswer: -17998.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -181.24 to 0 dps.\nAnswer: -181","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 549 is divided by 541?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 108 divided by 9.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -7773626136250.1 and -1?\nAnswer: 7773626136249.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 34794 is divided by 6811.\nAnswer: 739","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 18 and 90.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -341*l**5 - 83*l - 2.\nAnswer: -6820*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4625?\nAnswer: 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.2 (b) 5.1 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = i**3 + 8*i**2 + 3*i + 24. Let c be n(-8). Suppose c = -3*a + 5*g - 10*g - 13, a + 3*g = -11. Suppose a*u - 14 = 22. Is 6 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -r**2 - 6*r - 6. Let l be c(8). Let x = 175 - l. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k + 8*l = 6*l + 9, 2*k - 2*l = -6 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -n**2 + 10*n - 16. Let d be g(8). Which is bigger: d or -1\/2?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 4254, 4000, 3746?\n\"Answer: -254*t + 4508","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 133320?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + t + 5663 = 0, c - 363 = -t + 1526. What are the prime factors of c?\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1196 = -p + 4*g + 1183, 3*p + 3*g - 6 = 0 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8.1 - 8.3. Which is the closest to -0.07? (a) s (b) 3 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 206, 408, 612, 818, 1026, 1236, 1448?\nAnswer: 1662","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 - -446078\nAnswer: 446077.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qiqqqiqiiqqqiqqqqq. What is prob of picking 3 i?\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 188 = -558. Calculate the remainder when h is divided by 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 948\/158*(628\/(-104) + 2 + 4).\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 13 - -3. Let v = d + -25. Let p = v - -4. What is the second smallest value in 0.3, -2, p?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 6\/5 of a kilogram?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -13*l**2 - 67*l + 70*l**2 + 74*l + 562 wrt l.\nAnswer: 114*l + 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*d - 646*a + 645*a - 5, -35*d + 10 = -2*a for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 2 v when three letters picked without replacement from {s: 3, v: 7, t: 2, o: 3}?\nAnswer: 9\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5698226 by 727.\nAnswer: 7838","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:27 PM and 4:10 AM?\nAnswer: 643","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 608*z - 29590 + 1346 = 332 for z.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 832 + -250. Suppose b + 3*n = p, -4*b - 6*n + 2*n + 2320 = 0. What are the prime factors of b?\nAnswer: 3, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*h - 7 + 2. Let y(o) = -144*o**3 - o**2 + o + 1. Is y(h) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 - 1 + 0 - 3 - 1 + 3 + (5 - 2 - 4)*(-4 + 0 + 2) + 3 - 3 + 2 + 1 + 10 - 3)*(2*w - 2 + 2) in the form y*w + g and give y.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1826*n + 328*n = 793*n - 169534 for n.\nAnswer: 74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*t - 168 + 86 + 82.\nAnswer: 18*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 18688499 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) be the second derivative of -2*w**7\/105 - 4*w**6\/5 - 12*w**5 - 200*w**4\/3 - 9*w - 4. Factor c(q).\nAnswer: -4*q**2*(q + 10)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 631 + -627 + -5 + 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Are -1 and -4\/99 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -16336 or -179686\/11?\nAnswer: -16336","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.12 - 0.06. Let c = -0.01 + r. Let s = c - -0.95. What is the second smallest value in 0.1, 0.3, s?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(5) + sqrt(10)\/sqrt(2) + sqrt(5) + 4)**2 - (-4*(sqrt(5) + -1) + sqrt(5)))*-5 + -5 + (sqrt(605) - 2*1*sqrt(605)).\nAnswer: -146*sqrt(5) - 290","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 998*d**3*q**2 - 15*d**3*q + 4*d**2*q + 3*d*q**2 + 26*d*q wrt q.\nAnswer: 1996*d**3 + 6*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = i**3 + 6*i**2 - 33*i - 50. Let x be a(-11). Let b = 500 + x. What is the remainder when b is divided by 22?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1588\/77 + 152\/7. Sort p, 3, -0.2 in decreasing order.\nAnswer: 3, p, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 + 0 + 1)*(4 + 3 - 5) + (-3 - 3 - 1)*(2 + 2 - 5))*(3*k + 0*k - 4*k).\nAnswer: -13*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 - -661860118\nAnswer: 661860118.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(13)*3 + 1 + 3.\nAnswer: 4 + 3*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 0 + 8*l.\nAnswer: 8*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2560 and 295.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 218684 - 218684 - 6*v**3.\nAnswer: -6*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-170108)\/(-43))\/46 + -27 + 8.\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1385796525 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-3)\/(-1))\/((-6)\/4). Find the common denominator of 8\/7 and 544\/18*j\/8.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -356*i**3 + 8*i**2 + 16*i - 2. Let v(f) = 1068*f**3 - 26*f**2 - 52*f + 5. Give 13*b(p) + 4*v(p).\nAnswer: -356*p**3 - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 15069 + -8066. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-7 + 0 + 2)*(2*o - 2*o + o)*(-2 + 2 + 3) as b + q*o and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 52086292?\nAnswer: 2, 13021573","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -5 - ((-9)\/3 - -1). What is the third smallest value in 0.4, -2\/3, b?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-134)\/(-402) - (1 - 240\/387)\nAnswer: -2\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -1774*m**3 + 4*m**2 + m - 2. What are the prime factors of i(-1)?\nAnswer: 5, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 14 = 5*n, -3*h - 5*n + 22 = -0*n. Suppose 4*g - 12 = -h*a, 0 = -g + 5*a + 1 + 8. List the prime factors of g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3 + -6 + (-63)\/(-18). Let z(a) be the first derivative of -a**3 + 3*a - 1\/4*a**4 - y*a**2 + 7. Give z(-3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-i**2 - 2*i - 1 - 13*i**2 + 7*i**2)*(-3*i**3 - 2*i**2 + 2*i**2).\nAnswer: 21*i**5 + 6*i**4 + 3*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 42*a**4 + 2*a + 101 wrt a.\nAnswer: 504*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y = -t + 33, -19*t = -16*t - 54 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -5*m - 0*m, 2*i = 4*m + 4. What is the third derivative of 2*u**6 - 10*u**6 + 19*u + 2*u**2 + 27*u**6 - i*u**5 wrt u?\nAnswer: 2280*u**3 - 240*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -1\/3 (b) -4 (c) 2.2 (d) 6 (e) 0.06 (f) 12\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 11*q**3*w**2 - 26*q**3*w + 17*q**3 + 141 wrt w?\nAnswer: 22*q**3*w - 26*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -23*t - 11. Does 9 divide z(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + 5 + 1 + (sqrt(34)\/sqrt(2))**2 + -5)*2.\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 267 is divided by 65.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = n**3 - 3*n**2 + 3*n - 8. Let l be q(3). Let z(m) = -l + 1 + 739*m - 738*m. Let o(s) = 72*s. Calculate o(z(r)).\nAnswer: 72*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 670401 and 495.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -280 + 279. Let i(x) = 3*x + 1 + 3*x - 2*x. Let z(u) = -u. Determine o*i(l) - 6*z(l).\nAnswer: 2*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 15*n**3 + 206*n**2 - 15*n + 43. Give w(-14).\nAnswer: -531","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 720 - o**3 + 723 - 30*o**2 - 1378 - 25*o. What is w(-29)?\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 30, -201, 3 in increasing order.\nAnswer: -201, 3, 30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 30 or 38?\nAnswer: 30","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -g - 0. What is the third biggest value in 4, -3\/2, g?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:39 AM and 7:09 PM?\nAnswer: 690","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -44, -3, 0, 8.\nAnswer: -44, -3, 0, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a day in hours?\nAnswer: 15","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -7*g - 4. Let a be n(3). Let u = -50 - a. Let f = u - -74. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3 - 2*m**2 - 3 + (1 + 4 - 6)*(m**2 + 2*m**2 - 2*m**2) - 2*m**2 + 3 - 3.\nAnswer: -5*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -139888\/17, 20.9, -2\/7, -5\/4.\nAnswer: -139888\/17, -5\/4, -2\/7, 20.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 5 + (-9498*(-1)\/(-1) - 2) + -2. What is j rounded to the nearest one thousand?\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 950592 a multiple of 178?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4 (b) -6 (c) 1\/3 (d) -0.7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4 + 107*x**4 + 3 - 4*x**2 + 2*x + 3*x**2 - 97*x**4 to j + m*x + c*x**4 + f*x**2 + l*x**3 and give c.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 420 a multiple of 84?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p**2 + 136*p - 134 = 0 for p.\nAnswer: 1, 67","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -b9830c (base 15) to base 14.\nAnswer: -12603c1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 52824.39mm in kilometers?\nAnswer: 0.05282439","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10157284?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -b**2 + 9894 - 9894.\nAnswer: -b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in three tenths of a millennium?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -78 + 78. Solve -5*d + 10 = -i*d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22384595*j + 5 - 22385333*j - 5.\nAnswer: -738*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1755776714 + 4?\nAnswer: -1755776710","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let 0 - 1\/3*w**4 - 24*w + 58\/3*w**2 + 5*w**3 = 0. Calculate w.\nAnswer: -4, 0, 1, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = q + 2. Let j be y(-2). Suppose -724 = -3*l - j*l - 4*w, 5 = -w. What is the tens digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5641 less than -0.3136?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/(-24) - (-5334)\/252.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 248932824 to the power of 1\/3, to the nearest integer?\nAnswer: 629","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (15\/12)\/((-1)\/(-4)). Suppose -4*y + i*f + 80 = y, -5*f + 22 = y. Suppose y*d - 8 = 13*d. Solve -2*p + 12 = 3*k + d*p, 0 = 3*p - 9 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2840*t = 2878*t - 494 for t.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 40890 to the power of 1\/2, to the nearest integer?\nAnswer: 202","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -58*w + 107*w + 48*w.\nAnswer: 97*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 5, 78, -197, -2\/3, 42, 2, -3\/8?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -28268 (base 9) in base 8?\nAnswer: -45352","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2*262)\/2 + 5 + -3. Let j = z - 82. List the prime factors of j.\nAnswer: 2, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/9 in -0.2, 1\/32, 77, 2\/3?\nAnswer: 1\/32","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 96 and 240.\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2) - (sqrt(2) + -1 + sqrt(2))*1)*4*2)**2.\nAnswer: -128*sqrt(2) + 192","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1289, -769, 89, 1279, 2795, 4631, 6781?\nAnswer: 9239","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 110975800 and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*m**3\/6 - 110435*m**2\/6 + 203283225*m\/2 - 203246415\/2 = 0. What is m?\nAnswer: 1, 11043","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -33 - -7. Let p = x - -28. Solve -p*y = -3*y + 3 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 81523 - 3795*u + 1084*u - 81523 to the form q*u + k and give q.\nAnswer: -2711","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5093 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -489*t + 14536 + 3404 = 201*t for t.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((m\/(m\/m**1*m))\/m)\/m)\/m**2*(m\/m**(-2\/9)*m)\/m*(m**(-2\/5)\/m)\/m)**(-34) assuming m is positive.\nAnswer: m**(7922\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -4 + 2*l**3 - 3*l**3 + 4*l - 3*l**2 - 7*l + 1. Let x be b(-3). What is the highest common divisor of 12 and x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*p = 259 - 52 for p.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 567 times -30.2\nAnswer: -17123.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -725 + 1497. Let n = i - 770. Let k = -2.9 + 3. What is the nearest to -1 in -3, n, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -g**3 + 6*g**2 + 7*g + 4. Let a = -11 - -18. What is the remainder when y(a) is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 4*g + 1 = 15, g = -p - 3. Suppose 0 = p*f - f - 178. What is the remainder when f is divided by 20?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -38 + 40. Suppose 5*j - 295 = -5*u, -d*j + 120 = -3*u + 2. Suppose -57*x = -j*x + 16. What is the smallest common multiple of x and 1?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 110 minutes before 11:23 PM?\nAnswer: 9:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 18 - -3. Let i be 10\/3 + 14\/v. Is 5 < i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -3*w**2 - w. Let m = -8 - -8. Suppose 6 = -m*a - a. Let v(y) = 5*y**2 + 2*y. Suppose -55 = 5*z + s, 2*s + s + 11 = -z. Determine a*v(h) + z*p(h).\nAnswer: 3*h**2 - h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 16\/21 (b) 0 (c) 2\/9 (d) -3 (e) -33 (f) 2\/47 (g) 2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 213935.423 to the nearest one thousand.\nAnswer: 214000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -70 + -28 + (-4 - 6 - -12 - 10)\nAnswer: -106","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/33, 3, -35\/8, -7.\nAnswer: -7, -35\/8, -1\/33, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 5, c: 8}. Give prob of picking 2 c.\nAnswer: 14\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r**(-1))**(-4\/15))**(11\/6))**(-2) assuming r is positive.\nAnswer: r**(-44\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 + -16367680333303.\nAnswer: -16367680333305","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = 3*v + 19815, 7*v - 12*v = -5*y + 19825. What is the hundreds digit of y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -116, -232, -348, -464?\nAnswer: -580","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) be the first derivative of -n**4\/4 + 5*n**3\/3 + 7*n**2\/2 - 4*n - 4. List the prime factors of s(6).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i**2 + 11*i + 26. Suppose 0 = -l - 5, -22*k - 9 = -19*k - 3*l. Calculate g(k).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3 + 273?\nAnswer: 270","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -6a + 5?\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -19*p + 7. Let h(d) = -9*d**2 + 69*d + 26. Let g be h(8). Calculate w(g).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10038531 a multiple of 64?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -k - 1. Let t(n) = 5*n**2. Let v(q) = 11*q**2 + 8*q - 3. Let w(z) = 2*t(z) - v(z). What is 2*o(p) + w(p)?\nAnswer: -p**2 - 10*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4693*f**3*h**5 - 27*f**3*h**2 + 2*h**6 - 134*h**2 - h wrt h?\nAnswer: -281580*f**3*h**2 + 240*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14 - ((7 - 12) + -6 + 15) - 34 - -8.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:27 AM and 10:24 AM?\nAnswer: 237","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -y**3 + 9*y**2 - 6*y - 20. Give a(8).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w**4 - 4*w**3 - 8040*w**2 - 188672*w - 1239040 = 0.\nAnswer: -22, -16, 55","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 5, b: 7, r: 2}. Give prob of picking 2 r and 2 y.\nAnswer: 10\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 2436, 4868, 7300, 9732?\n\"Answer: 2432*v + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m**5\/9 + 136*m**3\/9 + 28*m**2 - 134*m\/9 - 28 = 0. Calculate m.\nAnswer: -7, -2, -1, 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -2*h - 8. Let l be g(-9). Suppose 15*r - l*r = 20. Is r less than 50\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1182\/8 - ((-92)\/(-16) + -6). Suppose -107 = 5*r - 5*b - 4537, -2*r + b = -1770. Suppose -o - 186 + r = 5*d, 3*o = -d + y. Is d a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1*(-2 - 0) + 5. Suppose 3*y - 4*h = 1099, -l*y = -0*h + 3*h - 1071. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 197 is divided by 17?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -203*b = 18*b - 8398. Solve b*x = 27*x - 22 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) be the first derivative of w**4\/2 + 16*w**3\/3 - 9*w - 1285. Give g(-8).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 2 and 25 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(187)\/(sqrt(704)*2).\nAnswer: sqrt(17)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26209080 is divided by 7097?\nAnswer: 6956","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 0.01, 1, 0.1 in decreasing order.\nAnswer: 1, 0.1, 0.01, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5, -2\/67, 1\/7?\nAnswer: -2\/67","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 12 - 18 = 0. Suppose 2*u - 5*s - c = 5, s - 5 = 4*u. Let x(y) = -207*y**3 + y**2 + 4*y + 3. Is x(u) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3\/37 - 41\/407. Which is the smallest value? (a) -1\/4 (b) n (c) 4 (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -168 = 32*i - 488 for i.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 7495531913 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -3747*d**3 - 34*d**2 + 3*d + 30. Let q(l) = -3749*l**3 - 46*l**2 + 3*l + 33. Let g(k) = 3*a(k) - 2*q(k). What is the third derivative of g(m) wrt m?\nAnswer: -22458","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -26 (base 13) to base 14.\nAnswer: -24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 15 - 22 = 0. What are the prime factors of f?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25 - 17 = -4*d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-3 + 3 - 2*k)*(-2 + 2 - 2) + 2*k - 6*k + 2*k + (3 - 2 - 3)*(2*k - 4*k + 0*k))*(0 + 0 + k) to the form i*k**2 + c + y*k and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 * 241127\nAnswer: -96450.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = l**3 - l**2 - 2*l - 3. Let r be w(3). Let a be 1 + 22\/(-12) - (-55875)\/2682. Solve r*h = 4*h - a for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, h: 1, t: 1, z: 5, i: 3, b: 4}. Give prob of sequence bc.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 9631*-187\nAnswer: -1800997","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -633749 + 634382851\/1001. Let j = i - 1\/91. Is j greater than -1\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 44 divide 6152?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 1, f: 3, p: 2, s: 3, u: 1, y: 1}. Give prob of sequence vyup.\nAnswer: 1\/3960","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the second derivative of 2\/3*k**3 + 1\/20*k**5 + 0 - 1\/3*k**4 + 2*k - 3*k**2. Let s(x) = x**3 - 10*x**2 + 9*x + 4. Let a be s(9). Give d(a).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 260 - 255. Let w be (-3)\/(-9)*(11 - z). Factor 16\/3*t + 16\/3 + 4\/3*t**w.\nAnswer: 4*(t + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -246193083*r**2 - 12*r - 3292917 wrt r.\nAnswer: -492386166","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 100661568?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0*t - t + 4*t)*(t - 4*t + t) - 29166*t + 558*t**2 + 29166*t + 5*t**2 - 2*t**2 - 5*t**2)*(2*t - t**2 - 2*t).\nAnswer: -550*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 65, 135, 205, 275, 345, 415?\n\"Answer: 70*s - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hfh. What is prob of picking 2 h?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 v when two letters picked without replacement from dgdvgddddgggggt?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = -2*g + 3. Let f = 3774.7 - 3775. Which is the biggest value? (a) -0.06 (b) f (c) g (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (52\/(-702))\/(28\/(-180))*14\/(-8)\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -5*f**2 + 17*f**2 - 5*f - 2*f**2 - 9*f**2. What is k(6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0024745874 rounded to six decimal places?\nAnswer: 0.002475","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(-3\/4)*((y\/(y*y**5))\/y)\/y*y*(y**(2\/57)*y)\/(y\/(((y*y*y**(-27))\/y)\/y)) assuming y is positive.\nAnswer: y**(-7687\/228)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 24 (base 6) to base 9.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1563 (base 8) in base 12?\nAnswer: -617","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(11\/4)*y*y**(2\/5)*(y\/y**29)\/y*y*y*y*(y\/y**(-42))\/y*y assuming y is positive.\nAnswer: y**(423\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (5 + -4)\/(4\/60)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand s**5 - 4*s**5 + 4*s**5 + (-2*s**3 - 2*s**3 + 2*s**3)*(-1 + s**2 + 1 + (s - s + s)*(-s + 4*s - 2*s) - s**2 - s**2 + s**2).\nAnswer: -s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -1211212011 (base 3) to base 7\nAnswer: -210652","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46*i = -864 + 1382 - 748 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*m + 13 - 46 = 0. Let t be ((-2)\/(-3) - 0)*51. Suppose -5*y = -3 - 7. Solve 5*d + t = m*q, -y*q - q - 5*d = 16 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8757)\/(-3892) + (-118)\/(-8).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 42315?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/9, 5, 2\/19403?\nAnswer: 2\/19403","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 240167, 240177, 240195, 240221, 240255, 240297, 240347?\n\"Answer: 4*x**2 - 2*x + 240165","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 120 and 8.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -31\/1263893 and 3\/5048.\nAnswer: 10111144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 101236?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 0.0649 times 4.43\nAnswer: 0.287507","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 127693*j**2*r**2 - 136*j**2*r - 9*j**2 - 2*j + 2*r + 9 wrt r?\nAnswer: 255386*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 363085109 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -7 - 2d5?\nAnswer: -2dc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = b**3 - 13*b**2 + b + 237. Give y(7).\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1366*y - 40 = 1376*y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put together -307 and -1011599.\nAnswer: -1011906","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 11 + -3. Let h(w) = -w**2 + 7*w + 11. Let p be h(r). Suppose 77*k - 82*k + 5 = 0. Put p, k, 0, 2 in increasing order.\nAnswer: 0, k, 2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 24 (base 9) to base 12\nAnswer: 1a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the second derivative of 12*m**2 - 6 + 2*m + 1\/6*m**3. What is the first derivative of c(o) wrt o?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 7, -5802 in descending order.\nAnswer: 7, -3, -5802","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = u + 21. Let t be g(-10). Solve 3*k + t = 4*i, 2*i + 2*k + 2 - 4 = 0 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -45000443626 from 0.021.\nAnswer: 45000443626.021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -483 + 3383\/7. Sort 1\/6, 0.6, 0.1, a in ascending order.\nAnswer: 0.1, 1\/6, a, 0.6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*a**2 - 2660*a + 2660*a.\nAnswer: -8*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 4684231?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -93*v - 2. Let a be u(-2). Suppose 96*m + 12 = 98*m. Suppose -2*q = -m*q + a. Is q a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -92*y**2 - 263*y + 2634. Calculate a(-7).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*x - 1755 + 581 + 585 + 589.\nAnswer: -2*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*u + 3*u + 16. Suppose -u*t - 296 = -2*i, 0*t = 2*i - 3*t - 294. Does 21 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -135, -540, -1219, -2172, -3399?\n\"Answer: -137*m**2 + 6*m - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = -16 - 4. Suppose 2*o - 45 = u*f, 3*f = -3*o + 6*f + 81. Is o a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.07 - -0.03. Let w = -60.1 + 55. Let z = v + w. Which is the closest to 0.1? (a) z (b) -0.5 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 u when two letters picked without replacement from {e: 1, r: 1, u: 2}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 5 + 0)*(30493*g - 15062*g - 16204*g).\nAnswer: 2319*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the first derivative of -5*v**4\/2 - 2*v**3\/3 + v**2 - v + 7. Let d(t) = -t**2 - 2*t - 1. Let i be d(-4). Let z = 10 + i. Calculate p(z).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 102 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 100938059 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a centimeter in millimeters?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 66 - 126 - 12*b + 8*b + 60.\nAnswer: -4*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*l + 4*l - l = -47*l - 2613 for l.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the first derivative of p**5\/60 + 23*p**2 - 18. Let l(i) be the second derivative of h(i). Solve l(m) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4\/19 + 27\/38. Let d be ((-14)\/7)\/(-1*1). Factor -l - u - 1\/2*u**d.\nAnswer: -(u + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -n + 8. Let r be l(6). Let x be r - 3 - (-2 + 13). Is (-952)\/x + (-2)\/6 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 206199135?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2951?\nAnswer: 13, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -42*r**3 + 41*r**3 - 3*r + 13 - r**2 + 6*r in the form m*r + f + u*r**3 + b*r**2 and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/363 in -1, 18, -216?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 18 - x**2 + 11*x - 11*x + 18 to k*x**2 + s + g*x and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1927030 equal to 1927030?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -18 - -12. Let a(w) = -9*w**2 - 5*w + 2. Let x(z) = -8*z**2 - 4*z + 2. Let p = 19 + -12. Calculate i*a(q) + p*x(q).\nAnswer: -2*q**2 + 2*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.36 (b) 5 (c) 4\/5 (d) 436 (e) 239\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = -o, -4*x - 24 = -x - 3*o. Let l be 1 + -3 - (-7 - x). Solve 0 = -q + h + 3 + l, 5*h + 20 = 2*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -37, -69, -101, -133?\n\"Answer: -32*n - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 321559, 321660, 321831, 322072?\nAnswer: 322383","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/l**(-1\/5))\/(l*l**7))\/(l**3)**(-11) assuming l is positive.\nAnswer: l**(131\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -1010001001110 (base 2) to base 15\nAnswer: -1818","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 59 = -4*v + 163. Calculate the remainder when (-44)\/(-88) + (-155)\/(-2) + -2 is divided by v.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 161850148615 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9037725.\nAnswer: 3, 5, 120503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 9*n**3 + 13741 - 14676 + 0*n**3 + 316*n**2 wrt n?\nAnswer: 27*n**2 + 632*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 17 = -c - 3, 3*f - 4*c - 5 = 0. Suppose 3*o = 2*n + 11 + 8, o - 15 = 5*n. Sort 2, 4, n, f in decreasing order.\nAnswer: 4, 2, n, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.271, -1, -88\/739.\nAnswer: -1, -88\/739, 0.271","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y and 2 g when four letters picked without replacement from gygggyggggg.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that -4*g**3 - 22960*g**2 - 36082832*g - 8772592256 = 0.\nAnswer: -2722, -296","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + ((sqrt(65) + sqrt(65)*2)*4)\/((sqrt(125) - sqrt(125)*2) + sqrt(5)))**2.\nAnswer: 30*sqrt(13) + 142","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 3\/2 - (-3 + 3)\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5 - 4 - 0) + 7 + -14.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -e22a + -2?\nAnswer: -e22c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*17468.\nAnswer: 87340","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 8794*m + 9. Is b(1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 2*a = 100. Let p = a + 30. Suppose 0 = -2*x - 3*k + p, 5*x - 6*k - 50 = -k. Is 5 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 58397 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the second derivative of s**7\/420 - s**5\/120 + s**4\/6 - s. Let y(k) be the third derivative of c(k). List the prime factors of y(-1).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4 + -15231?\nAnswer: -15235","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -3*o - 35. Give n(-12).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 21\/289 + -331\/578. Let o be (-50)\/15*(-6)\/(-5). What is the biggest value in h, o, 4, -11?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 2 f when three letters picked without replacement from ifofseoffsfie.\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 177.900445 + -177.9. Round s to three dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 97 and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 11 - -8. Let n = q - 31. Let g = n - -11. Which is smaller: -2\/5 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -3*v**2 - 3*v + 4. What is the least common multiple of x(0) and (9 - (-408)\/(-40))\/(6\/(-40))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -13*p + 3. Let f(g) = 7*g + 3. Let u(n) = 15*n + 7. Let j(y) = 9*f(y) - 4*u(y). Let s(z) = -2*d(z) - 9*j(z). Calculate s(3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-17)\/((-561)\/22))\/((-2)\/(-6)). Let o be ((-7)\/r - -2)\/((-9)\/4). Suppose 2\/3*v**5 + 0*v + 0 + 4\/3*v**4 + 0*v**2 + o*v**3 = 0. Calculate v.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 67681 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w*w**(-19\/5)*w)\/(w**(-6\/5)*w))\/(w**21*w\/w**20) assuming w is positive.\nAnswer: w**(-13\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + (9 - 13) + (16 - 3) + 4.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3 - -1041204?\nAnswer: 1041212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45*a - 47*a = -5*y - 10, -3*a + 15 = 3*y. Suppose y = i + 4*z, 10*i = 5*i + 5*z + 125. Solve -21*b + 3 = -i*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the third derivative of 0*w**4 + 112*w**2 + 0*w + 0 + 1\/5*w**5 + 0*w**3. Let z(a) = 3*a. Determine z(v(b)).\nAnswer: 36*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -129 + 2192\/17. Let a(r) = -2*r**3 - 25*r**2 - 13*r - 11. Let l be a(-12). Is l < f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-222)\/(-51)*(5270\/124)\/5?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 bigger than 2\/4507?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 56*q**3 + 7*q**4 - 26*q**3 + 2 + 5*q**2 + 2*q - 28*q**3 as a + n*q**3 + w*q**2 + k*q + r*q**4 and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - -4 - 2) + 3\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 103 is divided by 26?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 75995863 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -26 - -28. Solve -3*q = v*q + 25 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 5*b - 25 = -0*b, -2*i - 3*b + 13 = 0. Suppose i*s - u = -5, -2*s = -4*u + u + 15. Let q = s - -48. Is q a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-3)\/4)\/(1\/(-4)). Suppose 3*i - 19 = -b + o*b, i = 2*b + 9. Suppose 2*m = i*m. Is m at least as big as -1\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 639798371 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -160 in 24, 2\/17, -559?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 1951908553?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by 94.\nAnswer: -1\/47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (56*h**4 + 58*h**4 + 0*h**4)*(84 + 55 + 42 - 9).\nAnswer: 19608*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*j - 17*j = -12. Suppose 5*a = -j*a + 25663. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 66189555\/11 and 6017231 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 6092993732 to the power of 1\/3, to the nearest integer?\nAnswer: 1826","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 17, 6, -19, -64, -135?\nAnswer: -238","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 4*y**3 + 5 - 2*y**3)*(8*y + 33*y + 5*y)*(3*y - 3*y - 3*y).\nAnswer: -276*y**5 - 414*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 2291?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(1\/3)*z*z**2)\/(z**(-1\/2)\/z)**(33\/7))\/((z**(-1\/3)\/z)\/z*z*z**(-5\/6)*z*z\/(z\/((z\/((z*z**(-2)*z*z)\/z))\/z)*z)*z\/z**(4\/9)) assuming z is positive.\nAnswer: z**(757\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-8)\/(g**(-2\/5)*g))\/(g**(1\/6)\/g*g*g*g*g**(-8)))**(1\/31) assuming g is positive.\nAnswer: g**(-83\/930)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + -6*(1 + sqrt(363)) + sqrt(363) - sqrt(12)\/(2*sqrt(8)\/sqrt(2))*-4) + -3.\nAnswer: -53*sqrt(3) - 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 1091*b**3 - 13*b**2 - 1092*b**3 - 8*b - 26 - 20*b. What is the units digit of h(-12)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 82689754?\nAnswer: 2, 7, 120539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-2)\/3)\/(20\/30). Let t = s + 4. Let h(d) = d - 6. Give h(t).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1 + 2. Suppose 5 = -k - x. Let t(r) = r. Let j(b) = 2*b. Let a be (22\/4)\/((-2)\/(-4)). What is a*t(q) + k*j(q)?\nAnswer: -q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (10*z**3 + 19*z - 19*z + (-2 - 2 + 2)*(-z**3 + 3*z**3 - z**3))*(-5 + 1 + 2) in the form u*z**3 + g*z**2 + d + c*z and give u.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*q**3 - 10*q**3 + 39*q**3.\nAnswer: 41*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 715 minutes after 12:30 AM?\nAnswer: 12:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/5, -12, -0.5, -5\/3?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by 23?\nAnswer: 3\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 5*-2*2*((-84)\/7)\/(-12)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9371, -18754, -28149, -37562, -46999, -56466, -65969, -75514?\nAnswer: -85107","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 72*x - 94*x = -267256. What is the units digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) be the second derivative of g**5\/20 + 5*g**4\/6 - g**3\/2 - 5*g**2 + g. Let h = 362 + -372. What is the remainder when 78 is divided by x(h)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -24882123952 - 0?\nAnswer: -24882123952","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 31421406 divided by -6?\nAnswer: -5236901","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -169\/5610 and -101\/748710.\nAnswer: 140008770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 45 and 33435?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-1388)\/(-1041) + (-2)\/(-12))\/((-6)\/(-324284)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4370203\/12 or -364183?\nAnswer: -4370203\/12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 3 - 2*n - 3. Let c(m) be the third derivative of -m**6\/360 + m**3\/2 + 3*m**2. Let b(w) be the first derivative of c(w). Determine v(b(d)).\nAnswer: 2*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -4*f**4 + 20*f**3 - 23*f - 205. Let k(d) = d**4 - 7*d**3 + 8*d + 68. Let x(t) = -17*k(t) - 6*y(t). What is the second derivative of x(l) wrt l?\nAnswer: 84*l**2 - 6*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8 - 5 - 4)*(0 - 3 + 1)*(-3*y**2 - 2*y + 2*y) + 3*y**2 + 0*y**2 - 7*y**2 + (y + 3*y - 6*y)*(-5*y + 5*y - 2*y)*(0 - 2 + 1).\nAnswer: -110*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -a**3 - 5*a**2 - a - 5. Let b be g(-5). Let d be -3 + b - 29\/(-9). What is the closest to 0 in d, -0.3, -5?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*z + 102022 = 35*z - 14*z. What are the prime factors of z?\nAnswer: 2, 1759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2211 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - h - 15193 = 0, -d = -2*h - 1855 - 3211. What is the hundreds digit of (6 + (-22)\/4)\/(3\/d)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 466 - 472. Let t(q) = -q**3 - 6*q**2 + 2*q + 7. Give t(s).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -27 - -109. Let v = -49 + u. What is the tens digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3\/(-12) + (300\/112)\/5. Suppose 0 = 4*o + 3*d - 17, -4*d - d = 5*o - 20. Which is the nearest to 2\/3? (a) o (b) 2\/13 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -2*n**2 + n - 1. Let o(i) be the third derivative of i**5\/15 - i**4\/12 + i**3\/6 + 115*i**2. Determine -7*m(d) - 4*o(d).\nAnswer: -2*d**2 + d + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 8*j + 90. Let z(v) = -7*v - 88. Let t(m) = 4*d(m) + 5*z(m). Let b be t(-29). Let w(a) = -a**3 + 10*a**2 - 10*a + 18. Is w(b) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -i**2 - 17 - 68064*i + 34030*i - 3 + 34033*i in the form d*i**2 + y*i + v and give v.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 23126805.8 to the nearest 10000.\nAnswer: 23130000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -48, 1, 2, -4 in descending order.\nAnswer: 2, 1, -4, -48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i + 2 - 4 = -x, -4*x + 1 = 3*i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(833) - ((sqrt(833) - (sqrt(833) + 0)**2) + 4))*-6.\nAnswer: -4974","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -51.8 - -52. What is the closest to 0.06 in -2, 0, z?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -132 + 134. Let p be -1 - 195\/55*s\/(-6). Let t = 31 - 21. What is the closest to t in 1, 1\/2, p?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -2 - (-1)\/((11\/2)\/11). Let r be (3 - 8) + (-41)\/(-8) + o. Suppose 4*m + 20 = 0, 2*g + 2*m + 9 = -3. Which is the closest to g? (a) 2 (b) r (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.41 times 329\nAnswer: 134.89","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4082*i + 51152 + 428 = -127*i - 19610 for i.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 252 minutes after 8:17 PM?\nAnswer: 12:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + sqrt(38)\/sqrt(2) + -6*(3 + sqrt(19)).\nAnswer: -5*sqrt(19) - 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (6 - 19) + (8 - 0)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1303*n + 1301*n = -3*t - 654, -n = -2*t - 435. Which is the smallest value? (a) -5 (b) -4 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = p - 6. Let x be y(6). Let n(q) = 3*q**2 + 6*q + 8. Let k be n(-6). Suppose x*g = 5*g - k. Is g a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(2\/11)*k*(k*k*k**3*k*k)\/k*k**(-1)\/k**1 assuming k is positive.\nAnswer: k**(57\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1147704867999 + 1147704868597.100002537. Let b = d - 598.1. Round b to seven dps.\nAnswer: 0.0000025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n*n**(6\/5)*n*n*n*n*n**16*n*n*n assuming n is positive.\nAnswer: n**(126\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 160 minutes after 4:46 PM?\nAnswer: 7:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2645?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*-5*((-1 + (-3 + sqrt(500))*-1)*2)**2 + 5.\nAnswer: -60475 + 4800*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = r**3 + 14*r**2 - 29*r - 30. Give z(-14).\nAnswer: 376","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/671 in -5, 9, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -i**2 + i + 10. Let g = 1419 + -707. Let t = 712 - g. What is b(t)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 485 minutes before 4:12 PM?\nAnswer: 8:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by -123\nAnswer: 1\/123","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11063.\nAnswer: 13, 23, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 24 = 3*p - 2*p, 96 = 4*p - 5*u. Suppose 0 = -2*g - 10, 0 = -n + 4*g - 4 + p. Let k be (-8)\/60*(5 + n). What is the closest to k in -1, 1\/3, 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 153 - -161. Let t = d - 312. Put 5, -1, t, 55 in descending order.\nAnswer: 55, 5, t, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 233 is divided by 82.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 26455 - 1503?\nAnswer: 24a52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -167*k = 55*k + 2561 - 7889 for k.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -c**4\/6 + 3*c**3\/2 + c**2\/2 - 29*c\/6 + 3.\nAnswer: -(c - 9)*(c - 1)**2*(c + 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-20)\/75)\/((-10)\/25).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 402 minutes after 11:13 PM?\nAnswer: 5:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1324 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*k + 2*k + 2*k + 3*k - 3*k + k + (0 + 3 - 5)*(0*k + 3*k - 5*k) - k + 3*k - 3*k - 2*k + 2*k - k + 3802*k - 790*k + 2869*k.\nAnswer: 5886*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*i + 4*b + 7, -2*b + 22 = 5*i - 7. Solve -i*c + 2*c = 12 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24 = 120*z - 123*z for z.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 762?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 6922142?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(48)\/(sqrt(24)\/(sqrt(32)\/sqrt(4) + sqrt(8))))\/(((sqrt(72)*3 - sqrt(72)) + sqrt(8))*6))**2.\nAnswer: 2\/441","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 252*h - 3530. Let n be q(14). What is the third smallest value in -0.2, -1627, n?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -182*u + 156*u = -208 for u.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -5*q - 96. Calculate the lowest common multiple of 11 and ((-2)\/3)\/(q\/150).\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -176 + 0*l + l**3 + 0*l**3 + 4*l + 180 to o*l**2 + v*l + b*l**3 + s and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 28 = 0, -4*n + 50*m - 45*m + 139 = 0. Solve -n*z + 106 = 27*z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -19777*i + 279040. What is u(14)?\nAnswer: 2162","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -2\/11, 1, -3\/2, 2\/17?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 203*x + 444*x = -540*x + 47480 for x.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -8.6610619 to two decimal places.\nAnswer: -8.66","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -78 + 445\/6. Let w = g + -5\/3. Let j = -9793\/2 - -78301\/16. Find the common denominator of w and j.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -974 + 1581. List the prime factors of m.\nAnswer: 607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h when two letters picked without replacement from {h: 5, f: 4, d: 3}.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 38516 is divided by 2751.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 4*s. Let v(m) = 54*m**2 + 7008*m + 1. Give u(v(n)).\nAnswer: 216*n**2 + 28032*n + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 117\/45 - 168\/(-120). Solve 5*h + 10 = 40, -x*b = 2*h - 4 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 432 and 64?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*s - 6 = -20*s. Suppose s*p - p = -3*c + 23, -2*p = 2*c - 66. Find the second derivative of -w**3 + 244*w + w**3 - 214*w - p*w**4 wrt w.\nAnswer: -456*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = c**2 - 9*c + 1. Let q be j(9). Suppose 7 = z + q. Solve 0 = -0*g + 2*g + z for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -1, -0.4, 36, 3, -36 in descending order.\nAnswer: 36, 3, -0.4, -1, -5, -36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4846145?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**(-6\/5))\/(d\/(d\/d**(-3\/2)))*d\/d**(1\/4)*d**5 assuming d is positive.\nAnswer: d**(141\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 10 - (14 - 8) - (2 + 2)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -59 - 35 + 47*t**3 + 46 wrt t.\nAnswer: 141*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -59720.4338597 - -3.\nAnswer: -59717.4338597","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -2766 plus 0.08?\nAnswer: -2765.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -15.9 - -16. What is the biggest value in d, -2\/3, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 34 or 43?\nAnswer: 34","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate k**4*v + 971*k**2*v**2 - 16*v**2 + 84*v - 6 with respect to k.\nAnswer: 4*k**3*v + 1942*k*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/16 of a hour in seconds?\nAnswer: 3375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = 6*r - 2*r - 39, 3*r - 24 = -2*s. Calculate the common denominator of 55\/7 and (206\/10)\/(r\/(-5)).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6124800?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*i, -12*u - 4*i + 3 = -9*u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2228023 to the power of 1\/3, to the nearest integer?\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 3, l: 3, z: 2, j: 9}. What is prob of sequence jjc?\nAnswer: 9\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*t = 3*v + t - 11, 2*v + 5*t - 49 = 0. What is the second derivative of v*a - 26*a + 11*a**4 - 3*a**4 - a**4 wrt a?\nAnswer: 84*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12844 times 0.02?\nAnswer: -256.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 51.7314 milliseconds in minutes?\nAnswer: 0.00086219","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 411 = -t, -2*t + 6*t = l - 78. Let d = -39547 + 39875. Calculate the highest common divisor of d and l.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -323 + -16?\nAnswer: -340","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 5*l + 18 = 0, 2*i + 5*l = 3*i - 14. Suppose -4*z - 2*x = -14, -7*x - 9 = -i*x. Let b = 21 + -19. What is the highest common divisor of z and b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2.4815 - 2.4815. Let w = -1\/16 - 25\/112. What is the nearest to -0.1 in w, -2, 0.4, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**3\/4 + 367*y**2\/4 - 14260*y + 471851.\nAnswer: (y - 62)**2*(y + 491)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*1*sqrt(5) - sqrt(5) - -1*-3*sqrt(5) - (-2 + (4*((sqrt(405) - sqrt(405)*-2) + sqrt(405)) - sqrt(405)) + sqrt(405)))**2.\nAnswer: -588*sqrt(5) + 108049","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 670, 671, 672?\n\"Answer: p + 669","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -24395 - -41.\nAnswer: -24354","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 24187367*k**4 + 5415207*k**2 + 4.\nAnswer: 580496808*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 76 - -198. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 11, -2\/15, 3\/8, 0.9?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -16449797*z**4 + 1074304*z**2 + 1 wrt z?\nAnswer: -394795128*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = m**3 - 4*m**2 - m - 2. Let u be z(4). Let x be (u\/(-8))\/((-3)\/(-24)). Let n be (-6)\/(-9) + 4\/(-6). Solve 5*s - x*s = n for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1.26 + -6.26. Let g = 5 - 7. Let v = g - k. What is the third biggest value in 1, -0.5, v?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ex when two letters picked without replacement from {k: 1, e: 1, x: 5, s: 1, r: 4}.\nAnswer: 5\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -2*x - 159. Let q(b) = b - 3. Determine -h(r) - 6*q(r).\nAnswer: -4*r + 177","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 16*c**2. Let q(p) be the third derivative of -p**5\/120 - 3*p**3\/2 + 32*p**2. Let u(l) be the first derivative of q(l). What is m(u(h))?\nAnswer: 16*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (0 + (-18)\/8)*12. Let h = -21 - z. Let d = -4 + h. Solve -3*f = 4 + d for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the first derivative of -2*b**3\/3 + 28. Let t(y) = y - 13*y**2 - y. What is u(t(h))?\nAnswer: -338*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 981266 or 24531666\/25?\nAnswer: 981266","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*p - 29*p - 4 = -b, 4*p = b + 2 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -10145 (base 8) to base 14\nAnswer: -175b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*m - m + 0*m + (-14*m + 14*m - 15*m)*(4 + 10 - 7))*(1 + 2 - 1) as q*m + x and give q.\nAnswer: -212","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 17 - 13. Suppose -k*j - 12 = -j. Let n(w) = w**2 + 3*w - 1. Calculate n(j).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u + z = -92 + 82, 0 = -3*u - 5*z + 38 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -5*c + 3*t, 0 = -c + 4*t + 15 + 5. Let m be 3 + c\/(-2) - 6\/6. What is the highest common factor of m and 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 304426?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -277 - 11 = -4*x. Let i(t) = -10*t - 1. Let r be i(-1). Calculate the greatest common divisor of r and x.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (47\/(-188))\/(((-154)\/104)\/(-11))\nAnswer: -13\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 5*i. Let c be 46\/(-3) + (-1)\/(-3). Let k be -1 + (9\/c)\/(5\/(-25)). Let a(o) = -5*o**2 + 5*o**k - 9*o**2. Determine a(x(q)).\nAnswer: -225*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = w - 156. Suppose 1 = -t + w. What are the prime factors of t?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -5*j + 85. Let k(l) = 5*l + 6 - 3*l - 3*l. Let d be k(6). Solve -b + d*b - j = -4*n, -5*n + 17 = -b for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 13643285?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-28*(-127)\/(-5334))\/(2\/24 + 0).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_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: Find the third derivative of -7*q**3 - 5*q**2 - 4*q**2 + 6*q**3 - q**3 wrt q.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1011010 - -1000010010011?\nAnswer: 1000011101101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:03 PM and 3:50 PM?\nAnswer: 107","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.012977 + 0.01796. Round r to four dps.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -98 - -139. Let h = 43 - d. Suppose -h*j - 3*l + l = 6, -3*j + 2*l + 16 = 0. Solve j = p - 0 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 59*s**2 - 6*s - 11. Let l(f) = 20*f**2 - 2*f - 4. Let g(w) = -17*l(w) + 6*r(w). Let u be g(5). Let b = 641 - u. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (132\/(20\/5))\/(((-1653)\/58)\/19).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -14719*z + 0*z**2 + 14789*z - 2*z**4 + 2*z**2 in the form d*z + w*z**4 + a*z**3 + c + g*z**2 and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-45))\/(4371\/(-310) + 14)?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -29.9 - -16. Let x = -12 - k. Let n = x + -2.02. Sort 1\/4, n, 3\/7.\nAnswer: n, 1\/4, 3\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 3, 0.2, 3\/4, 52?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -o**3 + 6*o**2 + 2*o + 8. Let s be i(6). Let g(k) = -k**2 - 8*k + 3. Suppose l + 16 = -l. Let b be g(l). Solve s = b*d + d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -3*g + 10. Let p be n(2). Let c(o) = -2*o**3 + 9*o**2 - 3*o + 1. Let r be c(p). Let b be 4\/10 - (-4)\/(-10). Solve 5*x - r = -b for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 25 + -25. Solve 0 = 4*m - v + 4 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-64)\/(-256) + 278\/16*10 is divided by 42.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 18*q**3*t**2 - 11912206*q**2*w**2 - 102*t**2*w**2 - 16*t**2*w + 2*t*w**2 + t*w + 51*w + 1 wrt q.\nAnswer: 54*q**2*t**2 - 23824412*q*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 45 - 113 = 0. Let h = n + -21. Suppose w - h - 12 = 0. What are the prime factors of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d - 3*j + 16 = 0, -12*d + 1257*j - 1253*j = 40 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 640?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 70, 3\/11, -3, -1\/2?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000006494865596 to seven dps.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -169\/180 and -29\/8.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -38*v**2 + 197. Let w(j) = 17*j**2. Calculate r(w(d)).\nAnswer: -10982*d**4 + 197","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:53 AM and 7:01 PM?\nAnswer: 488","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -13087 - -13083. Let j = -4 + 3. Sort j, -3, l, -7 in increasing order.\nAnswer: -7, l, -3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -56*v**2 + 138*v**2 + 5*v**2 - 72*v**2 + 2.\nAnswer: 15*v**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 163915 less than -28282748?\nAnswer: -28446663","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*i + 3*i**3 - 6*i**3 + 0*i**3 + (3*i**3 + 4 - 4)*(1 - 4 + 0) in the form p*i**2 + c + q*i + b*i**3 and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1739 and 94.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of c*k*t*x**2 + 50*c*k*t*x + 5*c*t*x**2 - 2*c*t*x - 2*c*t + 12*c*x**2 wrt k.\nAnswer: c*t*x**2 + 50*c*t*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -4729137, -9458276, -14187415?\n\"Answer: -4729139*u + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*v + v - 3*v)*(-7*v - 2 + 3 + 3*v).\nAnswer: 16*v**2 - 4*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -389308 or -389307?\nAnswer: -389307","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 62882986 bigger than 62882985?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by 303?\nAnswer: -1\/101","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) be the first derivative of -r**4\/36 + r**3\/9 - 12*r - 12. Let h(a) be the first derivative of c(a). Determine p so that h(p) = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 (base 7) in base 12?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -702 + 720. Calculate the greatest common factor of 22 and a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2457*j = -2259*j + 2376 for j.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 4*c = -2, -3*n - 2*c = -5*c. Let j(t) = 2*t**3 - t**2 + t - 3. Let q be j(3). Let x be (-24)\/q*15\/(-6). Is x equal to n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-14))\/((-42534)\/(-1071) - 40)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 126816 divided by 31704.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 4887, 9815, 14743, 19671, 24599?\n\"Answer: 4928*n - 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -22 + 37. What is the tens digit of (-396)\/(-20) + (-12)\/j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the second derivative of 193*z**6\/30 - z**4\/6 + z**3\/3 + 41*z**2\/2 - 82*z - 1. Find the second derivative of k(a) wrt a.\nAnswer: 2316*a**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 331845012 a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 928 = 6*i - 2*i. Suppose 0 = 4*f + 8, 4*d - f + 3*f = i. Suppose 4*q - d = 5. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*v**5 + 1040*v**4 - 1496*v**3 + 236*v**2 + 376*v - 124 = 0. Calculate v.\nAnswer: -1\/2, 1\/2, 1, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 36*n - 37 + 30*n - 20*n**2 - 6*n - 8.\nAnswer: -5*(2*n - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*w - 122 = -19*w. Let x be -6*6\/(-9) - -109. Let q = x - w. List the prime factors of q.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -2*h - 7. Let o be a(-8). Suppose p - 13 + o = 0. Solve 4*w - 4*n + 0 = 4, 0 = p*w + 3*n + 10 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -k**3 - 7*k**2 + k + 7. Let y be r(-7). Suppose j = -f - 0*f + 1, y = -4*j + 3*f + 11. What is the greatest common factor of 4 and j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*l - 8*l = -16 + 48, -10 = c - 2*c + 3*l for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 3*l**2 + 0*l**2 - 6 as f + k*l**2 + z*l and give f.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 divided by -69.\nAnswer: 11\/69","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 408 minutes after 11:13 AM?\nAnswer: 6:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 587 minutes after 10:25 PM?\nAnswer: 8:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.2 (b) 0 (c) 1948948\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 5, n: 5}. What is prob of sequence sn?\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.22554412 rounded to three decimal places?\nAnswer: -0.226","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(160)*4 - sqrt(40)))\/(4*1*sqrt(200)).\nAnswer: -7*sqrt(5)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 237 a factor of 12087?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1\/(-2))\/(5\/8). Let q = -2.84 + 0.11. Let t = -2.74 - q. What is the second biggest value in 1\/10, t, n?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*l - 3*c + 144, 51*l - 132 = 48*l + 3*c. Solve -39*s + l*s + 56 = 0 for s.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = d**2 + 5*d + 9. Let h(u) = u**3 - u**2 - 7*u + 7. Let n be h(2). Let p be f(n). Solve -3*w = -r - 12, p = -r - 4*w + 12 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the first derivative of w**2 + 34 - 1\/3*w**3 + 2*w. Let k(j) = 18*j**2 - 39*j - 39. Determine -6*k(p) - 117*s(p).\nAnswer: 9*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence reww when four letters picked without replacement from wewwwreerw?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -12*c**3 - 4*c**2 + 19*c. Let y(b) = -11*b**3 - 3*b**2 + 18*b. Let i(h) = 3*p(h) - 4*y(h). What is the second derivative of i(u) wrt u?\nAnswer: 48*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2.17 + 38.37. Let x = 36.07 - m. Let y = 1\/4 + -3\/4. Do x and y have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 17990991 by 18009.\nAnswer: 999","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 10021 divided by -1?\nAnswer: -10021","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (68 - 65)*(1 + (-16)\/(-6)). Let t(v) = -7*v + d*v - 5*v + 2*v. Let o(k) = 47*k - 1. Determine o(t(r)).\nAnswer: 47*r - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 309, 334, 357, 378, 397?\nAnswer: 414","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 20 + -31 - (-11 - 1). Is -5\/346 less than u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1150\/368)\/(170\/(-544))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18 + 22 = -10*s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -240589\/3 or -80195?\nAnswer: -240589\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 780*y**2 - 156 wrt y.\nAnswer: 1560*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bjfjbajjjjbaafayya. Give prob of picking 1 b and 3 j.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -104*s**2 - 3*s. Let v(b) be the first derivative of 2*b**3\/3 - 327. Calculate j(v(o)).\nAnswer: -416*o**4 - 6*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y**2 - 3*y - 3. Let m be r(-8). What is the tens digit of 873*(5 + m\/9)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3, 0, 1, 0.3, -1\/7, -0.11057?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = v**3 - 2*v**2 + 6*v + 5. Let b be i(3). Is (1 - -1397)\/(-30 + b) a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4)\/(-3)*696\/(-16). What is the common denominator of (f\/16)\/((-5)\/(-6)) and (18\/(-192)*4)\/(10\/54)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.6 + -0.1. Let s = -0.5 - -0.5. Suppose 0 = 7*l - 2*l + p + 15, -5*p - 21 = -2*l. Which is the nearest to s? (a) -5 (b) h (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 2*o**2 + 32*o + 2. Let q be k(-16). Is (-29136)\/(-8) + -9 + q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3654246013 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -w**2 - 27*w - 173. Give y(-17).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 9 + -12 + -18 + (38880\/112)\/15\nAnswer: 15\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 182293.1 nanometers to kilometers.\nAnswer: 0.0000001822931","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1184, -2317, -3450, -4583, -5716, -6849?\nAnswer: -7982","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 76 + (9777 - 9772).\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = c**2 - c + 7. Let u be z(0). Let h(s) = s**2 + s - 14. What are the prime factors of h(u)?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbbbbbbbbqbbqbqb. What is prob of picking 1 q and 1 b?\nAnswer: 13\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -4*c - 4*c**2 + 5*c - c. Let u(w) = -w**2. Give u(n(k)).\nAnswer: -16*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 3*l - 2. Suppose 4*r + 2*v - 42 = 0, v = -v - 2. What is the remainder when r is divided by s(2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1602 is divided by 40.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 3220789 * -330\nAnswer: -1062860370","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 53 = 5*o, -3*o + 21 + 21 = -4*f. Which is bigger: o or 21\/2?\nAnswer: 21\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4204609552292 plus 0.2?\nAnswer: 0.6204609552292","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3\/2*(-32)\/(-3). Let p = 19 - u. Find the third derivative of -p*w**5 - 7*w**2 - 3*w**6 + 4*w**5 - w**5 wrt w.\nAnswer: -360*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2704 by -8.\nAnswer: 338","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - 0)\/(-385 + 390).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5559 to the nearest integer?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/7 + 4\/(-14). Suppose -3 = x - g*x. Let q = x + 6. What is the units digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8230 is divided by 1025?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(3\/5)\/a**0*a**(-1)\/a**(-3))**(-3\/7) assuming a is positive.\nAnswer: a**(-39\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -c - 0*w - 2*w + 6, -2*w = 3*c - 34. Let y = 6 + -5. Let g = y - -1. Calculate the greatest common factor of g and c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/3 + (-26)\/6 + 1?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) be the second derivative of b**3 - 1\/12*b**4 + 0 - 2*b**2 + 44*b. Calculate t(8).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10\/(-1540)*(-1680)\/(-96)\nAnswer: -5\/44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -8*i + 3*i - 2*h, 3*h - 2 = 5*i. Which is greater: -2 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 12\/5*x**2 + 6\/5*x**3 - 12\/5 - 6\/5*x = 0. Calculate x.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 249996*m**3 - 315907*m**3 - 325959*m**3.\nAnswer: -391870*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*g = 6*g - 1485. Let v(r) = 4*r - 24. Let a be v(7). Factor -g*y**2 - 2*y**5 - a*y**5 + 11*y**3 + 20*y - 5*y**4 + 34*y**3 + y**5.\nAnswer: -5*y*(y - 1)**3*(y + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -20*s**2 + 40. Let i(b) = 7*b**2 - 13. Calculate 17*i(k) + 6*n(k).\nAnswer: -k**2 + 19","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 7*a + 4. Let y(j) = 10*j + 6. Let r(m) = -8*p(m) + 5*y(m). Let t be r(-2). What is the common denominator of 0 - (132\/t + -1) and 33\/7?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + (6 - (-3 - -6)) - -3?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1530 + 4266 + 2*b - 2716.\nAnswer: 2*b + 20","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(170) + sqrt(170) + (sqrt(170) - -1*-1*sqrt(170)) + sqrt(170)*-1*-3)\/((sqrt(120) + 4*sqrt(120)*2 - sqrt(120))\/sqrt(12)).\nAnswer: 5*sqrt(17)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 185937\/33 - (-156)\/286. Suppose 0 = 8*z - v + 443. Is z a multiple of 77?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 12180 and 48?\nAnswer: 48720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -98522\/5 - -19786. Let h = u - 82. What is the closest to h in -2\/13, -0.3, 3\/2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -b2 (base 14) in base 8?\nAnswer: -234","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 30 - 28. Let f(b) be the second derivative of 0 + 7\/6*b**3 - 1\/2*b**d - b. Calculate f(1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express z**4 - 3*z**4 + 6*z**3 + 2 - 1 + 83*z - 86*z as t*z**3 + a*z**2 + k*z + s + b*z**4 and give k.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 161197 to the nearest integer?\nAnswer: 401","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/6)\/(81\/(-18))?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1 * -8432\nAnswer: 8432","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the first derivative of 3*b**4\/8 - 84*b**3 - 1017*b**2\/4 - 255*b - 1137. Let m(s) = 0. Calculate s.\nAnswer: -1, 170","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1411345\/8 - 176419. Suppose 5*i - 17 = 2*c - 0*c, 5*c = -2*i + 30. Let y = -4 - -4.3. Sort y, o, 3, c.\nAnswer: o, y, 3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2.6 + 2.3. Which is the closest to 1\/2? (a) y (b) 2\/5 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -417 + 1243 - 410 - 416 - 35283*u in the form b*u + x and give b.\nAnswer: -35283","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 4 from 5994.708.\nAnswer: 5990.708","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5 + 1 + 3)*(0*t + 0*t + 2*t)*(-10 - 1 + 0) to m*t + q and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*b + 2*b + 0*b)*(829 - 417 + 558).\nAnswer: 7760*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-6)\/(-33) - 192\/(-33). Suppose -c - 43 = -3*s, -2*s + u = c + 4*c. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*n - 5*n - 4 = 0. Suppose 4*c + y = 9, n*c = y + y + 12. What is the units digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.028 (b) 2 (c) -2 (d) -0.06\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 844409960*k + 867143320?\nAnswer: 844409960","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p + 3 = -5*f, 156 = -p + 5*f + 155 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 77 times 0.3896?\nAnswer: 29.9992","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 55\/4 - 173\/12. Let n = 2676\/13 + -206. Sort f, -7, n in ascending order.\nAnswer: -7, f, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 9*o + 6 - 33*o - o + 11*o + 3*o - 4*o + 2*o + (o - 2*o + 3*o)*(-3 + 5 - 4) + 2 + o - 2 + 11 - 11 + 4*o.\nAnswer: -12*o + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the second derivative of -27*t**2 + 3*t**3 + 16*t - 1\/8*t**4 + 0. Suppose u(q) = 0. What is q?\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -3 - 2 - -5 - 413. Let o = -283 - j. Calculate the greatest common divisor of o and 26.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that -x**3 + 61495*x**2 - 945378008*x - 945439504 = 0.\nAnswer: -1, 30748","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3285*q + 3268*q - 272 = 0 for q.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 148412866 to the nearest one hundred thousand.\nAnswer: 148400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence byn when three letters picked without replacement from {w: 1, n: 6, b: 8, q: 1, y: 2}.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*n - 49*n + 2 + 13*n.\nAnswer: -59*n + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3*14\/18*152\/28. Let q = -25\/2 + d. Is 1\/4 >= q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -59*l**3 - 9*l**2 - 13*l + 14. Let j(w) = 30*w**3 + 4*w**2 + 7*w - 6. Determine -4*c(h) - 9*j(h).\nAnswer: -34*h**3 - 11*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 117400?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2.6 - 4.6. Which is smaller: 5 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 565951?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*m**5 + 5*m**4 - 5*m**4 + (m**3 + m - m)*(2*m - 2*m**2 - 2*m) + (7*m**2 - 3*m**2 - 2*m**2)*(-m**3 - 2 + 2) + 5*m**5 + 2*m**5 - 3*m**5.\nAnswer: -5*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -84*z + 41*z - 18*z**2 + 39*z as t*z + b + l*z**2 and give l.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 89\/1448172 and -28\/5035.\nAnswer: 137576340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(2\/45)\/c**(-27)*c**(2\/5)*c*c**(-28) assuming c is positive.\nAnswer: c**(4\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 445 minutes before 5:51 PM?\nAnswer: 10:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 21810.12l?\nAnswer: 21810120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 126 and 77994?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -68613, -68638, -68663?\n\"Answer: -25*g - 68588","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 750*p + 1242 = 681*p for p.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/c**(-1))**(1\/21))**(10\/11) assuming c is positive.\nAnswer: c**(20\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*k + 3*x = -0*k + k - 3*x + x - 79, -2*x - 46 = 0 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = p**2 - 8*p + 16. Give y(5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -531\/2 - -1063\/4. Sort 24\/11, 0, n in decreasing order.\nAnswer: 24\/11, n, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -11 - -10.99927. Round r to four decimal places.\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 4*c**2. Let a(h) be the third derivative of 4 + 59\/24*h**4 + 7*h**2 + 0*h**3 + 0*h. Determine a(u(q)).\nAnswer: 236*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -23 - 35. Suppose -132 = -3*c + 9*c. Let x = c - m. What is the tens digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -6546199360859 from -11.\nAnswer: 6546199360848","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 3*w - 13 = -0*w, 3*s - 3*w = -3. Let c(b) = 3 - 9 - 7*b - 4*b + s*b + 9. What is c(1)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2640 by 264.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 570 minutes before 11:43 PM?\nAnswer: 2:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -426, -926, -1744, -2874, -4310?\nAnswer: -6046","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -32900 + 3*f - 32477 - 32530 - 9126*f**4 + 98392 - 3*f**2 wrt f?\nAnswer: -219024*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate h*t**3*v**3 - 25171*h*t*v**3 + 12432*t**3*v**3 - 3*t**3*v**2 wrt h.\nAnswer: t**3*v**3 - 25171*t*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the second derivative of r**5\/30 + 7*r**2\/2 - 12*r. Let j(v) be the first derivative of k(v). Let c(t) = 3*t**2. Determine j(c(u)).\nAnswer: 18*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 7*p**3 + p. Let f be d(-1). Let u be 39\/(-4) + 2\/f. Let b = u - -17. List the prime factors of b.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*f**3*i + f**2*i + 3*f*i - 4*f - 4*i wrt f.\nAnswer: -24*f*i + 2*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 13 + -10 + (-62 - -43)\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/((-3)\/(6\/(-1))).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -17.13 - -17. Let k = 0.07 - o. Let x be ((-4)\/20)\/((-3)\/(-5)). Which is the third smallest value? (a) x (b) -0.5 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -64*d**2 - 3*d + 3. Calculate m(1).\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 + -6 + (-28 - -11) - (83 - (11 + -7))?\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7\/189*170094 - (-2)\/9?\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*h + 9 = 39. Solve 0 = 4*d + 3*q + 31, 2*d + 15 = -h*d + q for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*u + 5*d - 1590, 2*u - d - d = 1060. Suppose 665 = 5*l - 5*y, -5*l - 3*y + 95 + u = 0. Does 32 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:13 AM and 2:42 PM?\nAnswer: 209","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = u**2 - 2*u - 5. Let g be d(4). Let n = -2 + 5. Suppose -2*z + 66 = n*y - 0, 9 = 3*z. Solve g*f - y = -f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -l**2 + 9*l - 11. Let o be j(8). Let p = 1 + o. Let f be 56099994\/(-33) + p\/11. Round f to the nearest one million.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 1 = n. Is 34 - n\/(-1 + 2) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 10*k**3 - k**2. Let c be q(1). Let o = c - 6. Suppose -3*n - 25 + 10 = -3*z, -2*n = o*z - 10. Solve 3*l = -2*s + 6, 0 = 3*l - z*s + 2*s + 6 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22120955?\nAnswer: 5, 4424191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -18 + 22. Let f(k) = -8*k + 26. Let t be f(o). Let g be (-3)\/t*0\/1. Is g greater than 3\/8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -6*u*x**3 + 41*u*x + 2629*u - x**3 wrt x.\nAnswer: -18*u*x**2 + 41*u - 3*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 10888523839 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1004.000001874 - -1004. What is w rounded to seven decimal places?\nAnswer: -0.0000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -1 and -14\/40105 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (259 - 13)\/(3\/2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 397477, 795182, 1192885, 1590586?\nAnswer: 1988285","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 5 - 0 - 0*3\/(-12). Suppose 4*n = 3*x + n - 6, -3*x + 2*n = -9. Solve -30 = -y + x*t, -2*t = -y + 2*y + w for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-19)*y)\/y*y\/(y\/(y\/y**(-25))))\/((y\/(y\/(y*y\/y**(4\/3)*y)*y))\/(y\/(y*y\/(y\/(y\/y**(-5\/3)))))) assuming y is positive.\nAnswer: y**(11\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1521 - -1520. Sort 2, 0.1, o, -0.3 in ascending order.\nAnswer: o, -0.3, 0.1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6530752 is divided by 1960.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - x - 16 = 0, 2 + 2 = i - 3*x. Find the second derivative of -134*j**4 + 61*j - 137*j**i + 302*j**4 + 2*j**2 wrt j.\nAnswer: 372*j**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (585\/(-35))\/1*323\/(-969)?\nAnswer: 39\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -14834 + 9098. Let f(u) = 11*u + 1. Let c be f(-3). Is y\/c + (-1)\/4 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42*m + 2*z = -44*m + 44480, -3*m + 14*z + 66720 = 0. Is 94 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4 - -5. Suppose 25*i - 264 - 136 = 0. Calculate the least common multiple of i and c.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9100 times -5.933?\nAnswer: -53990.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 33 is divided by 14?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*f - 5*b - 640 + 29, 3*b + 1518 = 5*f. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 481068004 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that 2*k**2 + 6*k - 8 = 0.\nAnswer: -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1386 = -10*g + 3*g. Let r = -60 - g. What is the tens digit of (35\/15)\/7*r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 876884161 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from caaacssccaa. What is prob of sequence sa?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (38\/209)\/(0 + 28\/44)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -550 + 549.9. What is the nearest to 0.5 in -2\/9, 4, r, -0.4?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 32 - 8*k - 937*k**2 + 1874*k**2 - 941*k**2.\nAnswer: -4*(k - 2)*(k + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 41*u**3 - 2915*u + 2915*u.\nAnswer: 41*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = q**2 + 4*q - 10. Suppose 5*d = 21 + 14. Let r(i) = 3*i + 2*i**2 - d - 4*i**2 + 3*i**2. Let g(h) = -5*h + 63. Let j be g(14). What is j*r(b) + 5*t(b)?\nAnswer: -2*b**2 - b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yyny when four letters picked without replacement from yyyncnyyncyyybybcbnb?\nAnswer: 28\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**6\/p)\/p**(-1\/3)*p**6*p**(-2\/5)*p*(p**(-1\/3)*p)**(11\/2)\/((p*p**(-5\/2))\/(p*p**(2\/21))) assuming p is positive.\nAnswer: p**(3821\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/(-12))\/((-2)\/4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 23467, 24513, 26249, 28669, 31767, 35537, 39973, 45069?\n\"Answer: -k**3 + 351*k**2 + 23117","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -3*h + h**2 + h + 2 - 4*h - h. Calculate the remainder when 36 is divided by r(9).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 4*h**2 + 4*h + 2. Suppose -2 = 4*o - 5*o. What is the smallest common multiple of f(-2) and o?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2323230 (base 4) in base 13?\nAnswer: 5610","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*r + 108 = -22. Suppose -r*d + 160 = 70. Calculate the lowest common multiple of d and 66.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 7367*b**3 + 3189*b**2 wrt b.\nAnswer: 44202","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 4*p + 308 = -0*q, 3*p = 4*q - 234. Suppose v = 5*v - q. Is 5 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in eleven eighths of a litre?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -2*t**3 + 15*t**2 - 4*t + 12. Let v(k) = -11*k**3 - 2*k**2. Let b be v(-2). Let w = b + -62. What is the smallest common multiple of w and p(7)?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 163165 to the nearest integer?\nAnswer: 404","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*o - 0*y + 5*y - 10, 0 = 2*y - 8 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3, 2, 7, 12?\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2602*a - 32178 = -2948*a for a.\nAnswer: 93","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:22 AM and 9:54 AM?\nAnswer: 152","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 20312 + 1?\nAnswer: 20313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 7*h + 107 + h**2 - 281 + 67 + 102. Let s be (-48)\/(-9)*6\/4. Suppose 3*i + 32 - s = 0. Determine a(i).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -10 + 10.0000029. What is o rounded to six dps?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/18)\/1 + 16\/384?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2374 != -82?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = -7*y - 15*y. Solve -248*m + 239*m - 72 = y for m.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -10, -259\/67, -0.4 in decreasing order.\nAnswer: -0.4, -2, -259\/67, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the third derivative of o**5\/60 - o**4\/4 + o**3\/6 + 4*o**2. Let l = -13 - -18. Give r(l).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h\/((h*h**(1\/6))\/h))\/h)**(-1\/8)\/(h**(3\/10)\/(h*(h**5\/h)\/h)))**(29\/4) assuming h is positive.\nAnswer: h**(25897\/960)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -5*h - 1. Let m(n) = -20*n - 163. What is m(k) - 5*x(k)?\nAnswer: 5*k - 158","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 3090, 6422, 9752, 13080, 16406, 19730?\n\"Answer: -c**2 + 3335*c - 244","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 7\/10891172 or 0?\nAnswer: 7\/10891172","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is r in 2*r**5 - 948*r**4 - 2648914*r**3 + 948*r**2 + 2648912*r = 0?\nAnswer: -938, -1, 0, 1, 1412","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z**2 + 5*z - 2. Suppose 0 = -0*o - 5*o - 25. Determine l(o).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence me when two letters picked without replacement from zekym?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/66*-1)\/(-1*(-20)\/(-330)).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 16*12\/192 + (-9)\/15?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 262796 or 262787?\nAnswer: 262796","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.07 + -5.07. Let z be (-9)\/(-1)*(-52)\/(-234). Let a be z + -8*5\/(-20)*-1. Sort -3, 8, q, a in descending order.\nAnswer: 8, a, -3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -1, -21, 14, -2, 2 in increasing order.\nAnswer: -21, -2, -1, 1, 2, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 11663631*g**3 + 25*g - 7285?\nAnswer: 69981786*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 19373 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -o**4 + 52790*o**3 - 54*o - 15565?\nAnswer: -12*o**2 + 316740*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (3\/2)\/(3\/4). Solve 0 = 5*l + 12 - c for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.4 + -1.3. Let f = -2652.5 + 2653. Which is the closest to 2? (a) 0 (b) f (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g and 1 a when three letters picked without replacement from ezzzkazggkkea.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -41800.43192 - -41798. Let u = 2.45 + q. What is u rounded to three decimal places?\nAnswer: 0.018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*q + 21*q + 3*q + 14*q as u*q + x and give u.\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 5566392281 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/4 of a millisecond in microseconds?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 22*k + 24. Let l be a(-1). Suppose l*v + 4 = 34. Solve 4*j - 5*n = 5*j + v, 0 = -n - 4 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 4*b = -o - 6, b = -o. Let n be o\/(1 - 2) + 34. Let y = -15 + n. List the prime factors of y.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 4 = 18. Suppose 0 = -3*m - 5*l + 10, 0 = -2*m - 4*l + 10 - 0. Sort 4, m, p in decreasing order.\nAnswer: p, 4, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 164762 to the power of 1\/2, to the nearest integer?\nAnswer: 406","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = t**2 + 4*t - 1. Let b be h(-5). Factor 0*w**2 + 2\/9*w**3 + 4\/9*w**b + 2\/9*w**5 + 0*w + 0.\nAnswer: 2*w**3*(w + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 55380?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 435 + -430. Solve 3*y + 5 = -a*m, -2*y + 5*m + 25 = -5 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -3 + 5 - 2*x + 3*x - 8. Let m be z(11). Solve m*o = 5*q - 10, o - q + 6 = 4*q for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 46*a + 25. What is z(-9)?\nAnswer: -389","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 7) to base 11\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -269872, -272552, -275232, -277912, -280592?\n\"Answer: -2680*z - 267192","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 1, d: 1, q: 5, t: 5, f: 1, r: 1}. What is prob of sequence tat?\nAnswer: 5\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 74*b - 73*b + 24968 = 0, -5*y + 31221 = -4*b. What is the units digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 27152.9087 and -1.3.\nAnswer: 27151.6087","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*c + 5*c**2 - 2*c + 9*c**2.\nAnswer: 14*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -l**3 - 2*l**2 - 2*l. Let g be 3*((-3 - 1) + 3). List the prime factors of w(g).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 90588.\nAnswer: 2, 3, 7549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/27? (a) 1\/3 (b) -1\/10 (c) 3 (d) 14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, s: 2, j: 3, y: 3, k: 1, d: 1}. Give prob of sequence ys.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 82224.4 less than 0.00129304?\nAnswer: -82224.39870696","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/f**(1\/3))\/(f**(6\/5)*f))\/((f\/(f\/((((f*f\/f**(-8))\/f)\/f)\/f)*f))\/(f\/(f*f**(-2\/3)*f*f)))*(f**(5\/6)*f**(-8))**(5\/12) assuming f is positive.\nAnswer: f**(-4267\/360)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 minutes before 12:54 PM?\nAnswer: 12:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14b2da (base 14) to base 4.\nAnswer: 2300111100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 224733?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -42\/125 and 11\/200.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3319 (b) 0.024 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 119, 238, 465, 800?\n\"Answer: 54*m**2 - 43*m + 108","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -741*a**2 - 734*a**2 + 1473*a**2.\nAnswer: -2*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o\/(o*o**(2\/35)*o)*o**(-20) assuming o is positive.\nAnswer: o**(-737\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**2\/2 + 110*t + 6050.\nAnswer: (t + 110)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2867, 6708, 12315, 20570, 32355, 48552?\nAnswer: 70043","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 98*f - 19. Let n(h) = -47*h + 9. Calculate -6*l(v) - 13*n(v).\nAnswer: 23*v - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3.2 + -3. What is the biggest value in 3\/5, 0.1, v?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9853554 to the nearest integer?\nAnswer: 3139","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 20.8479106 - -338540787.1520894. Let s = a - 338540763.9999941. Let q = 44 - s. What is q rounded to 6 decimal places?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9204, 9146, 9084, 9018, 8948, 8874?\nAnswer: 8796","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6422 and 17238?\nAnswer: 338","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*l = -3*n + 19, 332807*n + 8 = 332805*n - 3*l for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*l = -21 + 285. Let y(q) = -3*q - 5 + q**3 - 11 - 1 - 21*q**2. Is y(l) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 38945263?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 115, 114, 109, 100, 87, 70?\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that p**2 + 755*p - 4566 = 0.\nAnswer: -761, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qix when three letters picked without replacement from {g: 1, j: 1, x: 1, i: 1, q: 1}.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 2*o**2 + 11*o - 32. Give i(-10).\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/(-20)*45\/108*-3\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h + 15 = 5*h. Let p(z) = 33*z + 6. Let x be p(-3). Let n = -92 - x. Solve n = h*m - 5 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -82*l**3 + 111*l**3 + 217*l**3.\nAnswer: 246*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3\/2, 919566, 2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 45 a factor of 64010427?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -33254.5 rounded to the nearest one hundred?\nAnswer: -33300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*h**2 + 10*h**2 + 0*h**2 + (h**2 - 3*h**2 + 3*h**2)*(1 - 2 + 3).\nAnswer: 16*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1*26438.8.\nAnswer: 2643.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1835*m**4 - 543 wrt m.\nAnswer: 7340*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 135024?\nAnswer: 2, 3, 29, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*o**2 - 6*o**2 + o + 10*o**2 + 73 + 0*o in the form h*o + x*o**2 + l and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.8 + -1. Which is the closest to 0? (a) 5 (b) t (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 6921 - 555?\nAnswer: 6377","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1517 + -1?\nAnswer: -1518","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4)\/(-2)*(-1)\/2. Let h(f) be the second derivative of f**4\/3 - f**3\/6 - f**2\/2 - f. Let g be h(j). Sort 5, 1, g in decreasing order.\nAnswer: 5, g, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 164880 divided by 5.\nAnswer: 32976","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 156662.98000033 - 156663. Let p = k + 0.02. Round p to 7 dps.\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*1*(-5 + (sqrt(684) - 1*sqrt(684) - sqrt(684))) - (((sqrt(76) - 4*sqrt(76)) + sqrt(76))*-1)\/(-1*sqrt(4)*-3).\nAnswer: -74*sqrt(19)\/3 - 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 2*t + 3. Let x be -2 - (-1 + -2 + 2). Let g = x - -11. Suppose -3*v - g + 1 = 0. Give y(v).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 294256657?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 times 0.7629\nAnswer: 0.22887","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00044970862 to 5 dps.\nAnswer: 0.00045","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 y when three letters picked without replacement from {e: 11, y: 2}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 61 divided by 2?\nAnswer: 61\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -3*d + 4, -5*n = 4*d - 399. What is the units digit of n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-10)\/(-105) - 22\/231\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 2, y: 3, d: 4, i: 8}. Give prob of picking 1 h, 1 y, and 2 i.\nAnswer: 6\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 n when four letters picked without replacement from rffnrnffrfnfn.\nAnswer: 1\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 49*b + 12. Let r(c) = -195*c - 53. Give 9*n(w) + 2*r(w).\nAnswer: 51*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1160 and 33920?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 6033.449 rounded to the nearest one thousand?\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1901*w**3 + 469*w**3 + 485*w**3 + 475*w**3 + 477*w**3.\nAnswer: 5*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (7\/3 - 2)\/(-1) + 2. Let h = 3\/2 - j. Sort 0.7, h, -5.\nAnswer: -5, h, 0.7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 44 and 11.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in -0.9, 18, -198\/83?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.1 (b) -5 (c) 3 (d) 5 (e) -8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 5*n**3 + 27*n**2 - 88*n - 8. Let a(g) = 26*g**3 + 135*g**2 - 440*g - 57. Let o(s) = -4*a(s) + 21*m(s). Determine f, given that o(f) = 0.\nAnswer: -30, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -4, -30 in descending order.\nAnswer: 5, -4, -30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2, -31, -0.5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1098472794 to the nearest integer?\nAnswer: 1032","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m and 2 s when four letters picked without replacement from smmmsmms?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 305 (base 6) in base 13?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -2*d**3 - 16*d**2 + 30*d + 754. Give f(-8).\nAnswer: 514","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 620 - 620. Suppose 8*d - 1371 + 131 = p. What is the remainder when d is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6588 divided by 549.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4 or 1289563?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (273*v + 1251 - 137*v - 137*v)*(-v**3 - 1 + 1) + (0 + 1 + 1)*(1 - 1 - 2*v**4).\nAnswer: -3*v**4 - 1251*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18696 is divided by 170?\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 114286 to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-11)\/((-572)\/(-65)*18\/(-144)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 320\/(-32) - 38403\/(-3840). Which is smaller: 0 or h?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 326*u = 318*u + 43720. List the prime factors of u.\nAnswer: 5, 1093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6819 greater than or equal to 1179?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1397 - -23617. Does 110 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -28 by -6.\nAnswer: 14\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 18*s - 149. Give g(7).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 2910 = n - 439, -3*n = 3*v + 2463. Let t = v - -1531. List the prime factors of t.\nAnswer: 2, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -j**2 - j - 1. Let h(z) = -3*z**2 - 35*z - 4. What is -h(q) + 4*t(q)?\nAnswer: -q**2 + 31*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 17*u + 106 - 157 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -39 + 36. Let y be 94\/z + (-18)\/27. Calculate the remainder when 33 is divided by (-248)\/y - (-3)\/(-4).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 2*m**2 - 52*m - 1457. Let w be s(43). Suppose g = 5*d - 7 + 32, d - 2*g + 14 = 0. Sort d, w, 0, 1.\nAnswer: d, 0, 1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 12372777?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -36.3 (b) -0.0473 (c) -0.1 (d) 5 (e) -1 (f) 4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 16, 35, 64, 103, 152, 211?\nAnswer: 280","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) be the second derivative of t**5\/20 + 5*t**4\/12 + 2*t**3\/3 + 3*t**2 - 4*t. Suppose -2*k + h = -h + 10, 0 = k + h + 3. Calculate m(k).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 44\/5 of a millennium in years?\nAnswer: 8800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2806*w + 90*w**5 + 2806*w + 6*w**5 - 3*w**5 - 2*w**5 + (-2*w**2 + 1 - 1)*(w**3 + w**3 - 3*w**3).\nAnswer: 93*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (-109*k + 33*k - 11*k)*(1 - 2 + 360*k - 493*k) as l*k**2 + q + u*k and give u.\nAnswer: 87","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10001 (base 2) to base 10.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.718247 to three dps.\nAnswer: -3.718","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:08 AM and 3:28 PM?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2 and 26364?\nAnswer: 26364","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g**2 + 2541*g + 1329548 = 0. What is g?\nAnswer: -1804, -737","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-11)\/((-8855)\/(-42)))\/(10*60\/2000)?\nAnswer: -4\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -m**3 + 8*m**2 + 10*m - 13. Let w be d(9). Let z(y) = y**2 + 3*y - 3. Let b be z(1). Put b, 2, w in ascending order.\nAnswer: w, b, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + (-20 + -8 - -26) + -1 + 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4\/14 + (-192)\/(-14). Let x be (-4)\/w - 636\/(-21). Suppose -2*h = -2*j - 7*h + 39, 0 = -5*j + h + x. Is 3 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2 or -104.0863?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hbvih. What is prob of sequence iv?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in fourty-three quarters of a microgram?\nAnswer: 10750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 957 + -924. Suppose -5*p = -2*d - 1478, -p - 3*d + 168 = -131. Calculate the remainder when p is divided by u.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4.3 - 0.7. Let z be 1 - ((-28)\/12 + 3). What is the nearest to -0.1 in w, z, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9478606 is divided by 53551.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 170671 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 85328, 170655, 255982, 341309?\n\"Answer: 85327*t + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 - (-3 - 0 - (-8 - -2))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 354 minutes after 12:13 PM?\nAnswer: 6:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v + 1 = -3 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-95)\/35 + -6 + 9?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gggjggggjggujug. Give prob of picking 2 g and 1 u.\nAnswer: 18\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by 1176626\nAnswer: -5\/1176626","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in 684, -1\/4, 118\/11?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = 5*j - 2*n + 13, 3*j = -2*n - 19. Is j smaller than -8\/119?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -788*q**3 - q**2 + q + 1. Is n(-1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*y = -v - 34*y + 11, -3*v - 21 = 3*y. Find b, given that 1\/3*b**5 + 0 + 0*b - 5\/3*b**4 + 0*b**v + 2*b**3 = 0.\nAnswer: 0, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of 695?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 277 + 275 + 276 + 2021*t - 829.\nAnswer: 2021*t - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -413\/6 - -574\/9. Find the common denominator of o and -45\/4.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*b + 4*v - 6, -v = -4*b + v + 10. Suppose -b*d + 58 + 2 = 0. Calculate the greatest common divisor of d and 30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = u**2 - 10*u - 9. Let z be p(11). Let y be 3\/2 + z\/4. Solve -5*o - 3*w = y*w + 5, -5*w + 35 = -3*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*x - 25 - 167. Suppose 0 = -x*j + 14*j + 11770. Is 107 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(7\/3)\/y*y*y*y**(-10))\/((y*(((y**10*y)\/y)\/y)\/y)\/(y*(y*y\/(y*y**5))\/y*y*y*y)) assuming y is positive.\nAnswer: y**(-50\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 304627 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 s when two letters picked without replacement from escsoabbbbcobcobob?\nAnswer: 8\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -33200 + 60?\nAnswer: -33130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -j**2 - j + 25. Let v be a(3). Let q(x) = -x**3 + 11*x**2 + 25*x + 19. Give q(v).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 20\/(-26)*((-48880)\/(-256))\/235\nAnswer: -5\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/772 in 5, 3, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by -49386527.\nAnswer: 3\/49386527","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -31641*h*l**4 + 2884*h*l**2 - 2*l**5 + 2*l wrt l.\nAnswer: -759384*h*l - 120*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30 + 42*s - 16 + 44 - 28*s + 102*s.\nAnswer: 116*s - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -q**2 - 8*q - 12. Let m be l(-5). Suppose -5*g = m*x - 40850015, 0 = 7*g - 4*g + 2*x - 24510010. Round g to the nearest 1000000.\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-858)\/22 - (-1)\/(-3)*6174\/(-147).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -3 - 4*z - 3*z + 6*z - 1. Suppose 10*v = 5*v - 30. Let d be (v\/(-4) - 2)*-12. What is f(d)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47991067 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 13, h: 6}. What is prob of picking 1 p and 1 h?\nAnswer: 26\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -5*c**2 - c + 62. Let l be u(-7). What is the tens digit of -5*(l + -1*36\/30)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.05503 and 4.\nAnswer: 4.05503","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11\/((-18513)\/720) + (-16)\/136.\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1235 + 1249. Solve 5*o = 12*o - w for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 240096641 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 44528900*g**5 - 62953172*g**2 wrt g?\nAnswer: 2671734000*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -148257549 divided by -1?\nAnswer: 148257549","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 8\/3 in 0, -0.3, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 587 minutes after 6:56 PM?\nAnswer: 4:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 43*b**4 - 4*b + 4*b - b**4 - 2*b**4 + 0*b**4 + (0*b - 3*b + 5*b)*(2*b - b**3 - 2*b) in the form f*b**2 + n*b**4 + z*b**3 + o + u*b and give n.\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1 - 1. Suppose -5*i + 3*r - 2 + 12 = v, i - 2 = 5*r. Factor 4*f**2 - f**3 - 8*f**2 + i*f + 3*f**3.\nAnswer: 2*f*(f - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 26790911?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -8.75 and 9?\nAnswer: 17.75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 2, t: 8, i: 2}. Give prob of sequence ih.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -167999 (base 12) to base 10\nAnswer: -386757","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 129762240 a multiple of 1264?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*g - g - 5*g)*(-29*g - 77*g - 3 - 68*g + 34*g).\nAnswer: 560*g**2 + 12*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 3053 (base 6) to base 7\nAnswer: 1662","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0\/((0 - -1) + -2 + 0). Let m be -3*((-6)\/((-12)\/(-50)) + f). Suppose m = -4*i + 87. Solve -5*y - 18 = -0*c + i*c, 4*c = -4 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4*(-1)\/(-516)*((-14)\/(-28)*-8 - -2)?\nAnswer: 2\/129","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*o + o + 0*o)*(-8 + 4 - 1)*(-4*o - 2*o + 5*o) to u*o**2 + t*o + z and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 33 and 2123.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*w + 31*w**2 + 40*w**2 - 4*w - 68*w**2 to the form i + s*w + g*w**2 and give g.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7091?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 154, 143, 132, 121?\n\"Answer: -11*v + 165","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 271067 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 215 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the second derivative of 101*d**4\/6 + 2*d**3\/3 + d**2 - 107*d. What is the second derivative of c(b) wrt b?\nAnswer: 404","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41128393 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 1209 divide 34635917?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 5, s: 3, c: 2, n: 7, a: 3}. Give prob of sequence nscc.\nAnswer: 7\/19380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1445264778*f**2 + 17*f - 23709247?\nAnswer: -2890529556","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 372856 to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 36832842, 36832841, 36832840, 36832839, 36832838, 36832837?\nAnswer: 36832836","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 956431.8 seconds?\nAnswer: 956431800000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve i + 18*x - 1 = 3*i + 19*x, -3*x - 24 = 13*i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*z - 10 = -15*z + 3 for z.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -23, -0.1, 5, 2\/5?\nAnswer: -23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h when two letters picked without replacement from {u: 4, h: 2, e: 1, k: 3, o: 2, g: 2}.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 144*z - 245. Let i be w(-12). Is -1973 greater than i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven halves of a gram in milligrams?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 142 + -141.882. Let k = -0.08 + u. Let p = -0.0275 + k. What is p rounded to 3 dps?\nAnswer: 0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5 in 5\/8, -1\/10, -3\/4, -1?\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10070 is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 11150550 a multiple of 1278?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 108261?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48*c - 144 = 24*c for c.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 5*y**2. Let u(k) be the second derivative of -5*k**3\/3 - 53*k. Determine u(t(c)).\nAnswer: -50*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*n - 5*n = -4*r + 9, -5*n - 3*r + 62 = 0. Let d(o) = o - 8. Determine d(n).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 114606?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the third derivative of -a**8\/1512 - 2*a**7\/63 + 49*a**6\/270 - 2*a**5\/15 - 97*a**4\/108 + 22*a**3\/9 - 3547*a**2 + 2*a. Determine l so that u(l) = 0.\nAnswer: -33, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 318003617 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5\/3? (a) -4 (b) -25 (c) 154\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -220.139 to zero decimal places.\nAnswer: -220","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 522029.81 * -0.1\nAnswer: -52202.981","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.013698 + 24462?\nAnswer: 24462.013698","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*k = -46 - 124. Which is the closest to 1? (a) -44 (b) k (c) 1\/2 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = s**3 - 3*s**2 - 6*s + 7. Let r be l(5). Suppose c = 4*y + r, -5*c - 3*y + 7*y = -87. Let d be (1\/6)\/(c\/20). Sort -3, d, -1\/8.\nAnswer: -3, -1\/8, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(117)*2)\/sqrt(9).\nAnswer: 10*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-4)\/12 - -1)\/2. Let y = -0.548 - 0.152. Sort 0, y, 4, b.\nAnswer: y, 0, b, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:53 PM and 12:20 AM?\nAnswer: 507","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -280*n**4 - 116*n**2 - 1 wrt n.\nAnswer: -6720*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (532 - 640 - 295)*((-3 + 2 + 2)*(5 - j - 5) - 2*j + j + 0*j + 0*j + 2*j - 5*j)*((1 + 5 - 3)*(-1 + 1 + 1) + (-1 + 6 - 2)*(0 + 0 + 2)).\nAnswer: 18135*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the third derivative of 0*m + 8*m**2 - 5\/6*m**3 + 0 + m**4. List the prime factors of i(2).\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 976500 = 143*d + 7*d. What is the hundreds digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -357 = -153*w + 1173 for w.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000000293732115 rounded to seven dps?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -36*t + 688. Let n be y(19). Solve n*k - 3*k + 9*k = 0 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3\/8, 0.0174, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 201*u - 75*u = -144*u + 5400 for u.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -38 + 8 + 3 + 1 + -22 + 15?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the first derivative of 5*i**3 - 3*i**2\/2 - 2*i + 4. Let t be h(3). Suppose -3*q = -131 - t. List the prime factors of q.\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 516*m - 72 = 524*m for m.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 76 in 0.3, -1, 0.5, -1\/3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*a + 3*a - 816 = 0. What is the units digit of (-17)\/a + (-1 - (-213)\/4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6574?\nAnswer: 2, 19, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = x**3 + 9*x**2 - 19*x - 75. Let i(m) = 2*m**2 + 3*m - 6. Calculate the remainder when i(-5) is divided by h(-10).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 57\/280 and -117\/140?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -3*p**2 + 17*p - 23. Let v be i(5). What is the closest to 0.4 in 6\/7, v, 1?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -16*d**3 - 4. Let k(j) = -33*j**3 - 7. What is -4*k(h) + 7*z(h)?\nAnswer: 20*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1577 divided by -31.\nAnswer: 1577\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 184033 to the nearest 1000.\nAnswer: 184000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -i**3 + 27*i**2 + 96*i - 184. Calculate o(30).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -24*y - 117*y**2 - 97*y**3 + 22*y**2 + 114*y + 102*y**3.\nAnswer: 5*y*(y - 18)*(y - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -40 + -3?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*f**2 - 5*f**2 + 18*f**2)*(0 + 0 + 1) + 60*f**2 + 222 - 222 + f**2 - 2*f**2 + 3*f**2.\nAnswer: 75*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1026164?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -79 + 79. Suppose -3*o - 2*n = -n - 140, z = 4*n - 20. Calculate the highest common divisor of 27 and o.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -106 - -146. Let a = r + -72. Let b(l) = -l**3 + 10*l**2 - 14*l + 13. Let j be b(9). Is j not equal to a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 0 - 19077?\nAnswer: -19077","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 715 and 325.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 75\/7 + -593\/56. What is the smallest value in j, -2\/7, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -715, -2844, -6373, -11284, -17559, -25180, -34129?\n\"Answer: 3*k**3 - 718*k**2 + 4*k - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 81\/15 + 8\/(-20). Let y(u) = 4*u**3 - 2*u + 2. Let r(i) = -i**5 - 9*i**3 + 5*i - 5. Let d(q) = w*y(q) + 2*r(q). What is o in d(o) = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1516556 by 9.\nAnswer: 1516556\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 41\/13 + (-27)\/9. Are 1 and i unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (2\/(-8))\/(-1)*(2050\/(-123) + 16). What is the fourth smallest value in 0.3, 4, 12, x?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -217*l + 539 - 80*l - 539.\nAnswer: -297*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1399, 2968, 4553, 6160, 7795, 9464, 11173?\nAnswer: 12928","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 558441 and 7326.\nAnswer: 12285702","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 136057931 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3817 - -3847. Let i(c) = 19*c - 2. What is the lowest common multiple of s and i(3)?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -174*x**3 - 271*x**2 + 24. Let l(y) = -173*y**3 - 270*y**2 + 28. Let d(b) = -6*a(b) + 5*l(b). What is the third derivative of d(p) wrt p?\nAnswer: 1074","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -67 + 69. Suppose 0 = -3*d + d - h. Which is greater: d or -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g\/(g*g*g**18)*g**(-29) assuming g is positive.\nAnswer: g**(-48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/24*-21*240\/70.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1*((-33)\/1 - -8). Let l be (-1)\/(0 - (-2)\/(-26)). Suppose 0 = -j + 2*i + l, -4*i + 9*i + d = 0. Solve -5*u = 3*w + 37, -j*w = -u - 4*w - 9 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 218*k + 6. Let n(a) = 325*a + 8. Give 7*g(w) - 5*n(w).\nAnswer: -99*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-255)\/(-1122)*11\/6*3.\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 37, 1, 139, 0 in decreasing order.\nAnswer: 139, 37, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -89\/23828 and 101\/17615700?\nAnswer: 123309900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*x - 0*x + 12. Suppose -k + 4*m + x = 3*k, 5*k = -2*m + 12. Let h(o) = -o**3 - 5*o**2 + 6*o + 3. What is the remainder when h(-6) is divided by k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -11*a + 1. Let m(j) = -j**2 - 3*j + 3. Let y be m(-4). Let x be s(y). Suppose 0 = -5*z + 38 + x. Which is greater: 9 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -q*w**5 - 290*q*w**3 - 7*q*w**2 - 49*q*w + 231*w wrt w.\nAnswer: -20*q*w**3 - 1740*q*w - 14*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*q**4\/9 + 82*q**3\/9 - 220*q**2\/9 + 50*q\/9 = 0. Calculate q.\nAnswer: 0, 1\/4, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16514 - 16517 + 66067 - 16518 - 16518 - 253*i**2 + 258*i**2.\nAnswer: 5*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*t + 4*t - k + 5, 2*k - 22 = -4*t. Does 2 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(99)\/(sqrt(81)*-1) + 5 - ((-1*(2 + sqrt(396)))**2 - (4 + -1 + sqrt(396) - sqrt(396))).\nAnswer: -392 - 73*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -707 or -710?\nAnswer: -707","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -r**2 + 5*r + 4. Let j be i(5). Suppose 3*p - 30 = 66. Let l be (p\/(-12) - -3)*1. Sort 17, j, l in increasing order.\nAnswer: l, j, 17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -u - 0. Suppose -2*n = u*n - 12. What is the units digit of ((-2)\/n)\/(4\/(-30))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -57a - 489?\nAnswer: -a58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/15, 34, 0, 824, -0.07, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3\/(2 - 33\/12). Let k = 3 + t. Suppose -m + 20 = 3*m. What is the smallest value in m, -1\/2, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the first derivative of -38*s**3\/3 - s**2 - 24*s - 32. Let y be u(-8). Round y to the nearest 100.\nAnswer: -2400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + ((sqrt(112) - ((sqrt(112) - sqrt(112)*2) + -1)) + sqrt(112))**2.\nAnswer: 24*sqrt(7) + 1012","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 130319 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 199 = 239. Calculate the remainder when (-3 + 6 + -5)*(-205)\/a is divided by 21.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -32 - 9?\nAnswer: -3b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 132826392 divided by 5?\nAnswer: 132826392\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 90685?\nAnswer: 5, 7, 2591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 47759?\nAnswer: 163, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 475 is divided by 16?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 26 - 22. Solve -2*o - 2*o - g = 0 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 minutes after 6:09 PM?\nAnswer: 6:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -212176 - -370297. Suppose -3*z - a = 471879. What is z rounded to the nearest one hundred thousand?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 7*k + 2*k - 8*k + 6 - k**2. Let x be r(2). Solve 11 = -0*n + n + x*d, -3*d = -12 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -18536*p + 18556*p - 440 for p.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 5 + 2)*(-3936 + 3936 - 142*b**4).\nAnswer: -1562*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide ((-12)\/(-14))\/(-3 - 1956\/(-651))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*p - 6*p + 32*p**2 + 14*p - 2 - p in the form l + z*p + j*p**2 and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) -20\/7 (b) -1012 (c) 1 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 65220 to the power of 1\/6, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*w = 3 - 33 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h - 12 = 5*y, -56*y + 50*y - 15 = -h + 6 - 4 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 206*o - 206*o - o**2 - 4*o**2 + 96 + 37 + 4*o**3.\nAnswer: 4*o**3 - 5*o**2 + 133","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = d**2 + 25*d + 48. Give z(-21).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 8395372860?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from doot. What is prob of sequence odot?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -98, -100, -102, -104?\n\"Answer: -2*q - 96","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -3, 56, 1, 2 in decreasing order.\nAnswer: 56, 3, 2, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 4*b - 15. Let c(g) = 2*g - 8. Calculate 5*c(s) - 3*n(s).\nAnswer: -2*s + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: ((2430\/576)\/15)\/((-1)\/4*3)\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (20\/(-1))\/(-1 - 1). Suppose -2*c = -3*v + 5 + 6, -3*c = 2*v + a. Calculate the lowest common multiple of c\/(-6) - 1\/(-3) and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1 - -4. Suppose 7 = 2*t - j. Let f = 17 + t. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -770*k**2 + 106*k**3 + 770*k**2 - 41*k**3.\nAnswer: 65*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -215*f**3 + 531*f**3 - 334*f**3 - 428*f**3 - 509*f**3.\nAnswer: -955*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 1172092*q. Let d(a) = -206*a. Give v(d(i)).\nAnswer: -241450952*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s**2 + 8*s + 14. Let g be x(-6). Suppose 9*m = g*m + 14. Solve -2*d - 12 = 2*o, -o + 10 = -3*d - m*o for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 4}. Give prob of picking 4 y.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the third derivative of t**4\/8 - t**3\/3 - 10*t**2. Let h(d) = -5 - 3 + 4 + 5*d. Calculate -4*h(c) + 7*w(c).\nAnswer: c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = 5*m - 14, 4*i + 5*m - 20 - 6 = 0. Suppose -i*d + 46 = -10. Let k(l) = 66*l - 23. Is k(d) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*j - 2*j**2 + 3*j**4 + 9*j + 3*j**3 - 14*j to the form c*j**3 + p*j**4 + l + z*j**2 + t*j and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -8*u - 3*u**2 - 5 - 2*u**2 + 4*u**2. Let r be d(-7). Suppose -2*s + 9 = 3*n, -r*n = 2*s - 3*n + 3. Let k(g) = -g**2 + 4. Calculate k(s).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, -1071, 0, -0.1 in descending order.\nAnswer: 0, -0.1, -8, -1071","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -99 + 114. Solve 0 = -3*x - 2*c - 25, -4*x + c - z = -0*x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.27799437 + -0.278. Round m to 7 decimal places.\nAnswer: -0.0000056","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -8a - 0?\nAnswer: -8a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1373 - 277?\nAnswer: -1672","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 32 + -18. Let t(u) = 14*u + 5. Let v be t(6). Let z = v - 36. Calculate the remainder when z is divided by a.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -5*d - 28. Let o(f) = -2*f**2 - 17*f. Is o(d) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/(2 + -17))\/(216\/1350)?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-48)\/(-18)*(-3)\/(-2). Let d be (-6648)\/(-27) + f\/(-18). Suppose -7*l = -l - d. What are the prime factors of l?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -y**3 + 17*y**2 + 20*y - 23. Suppose 4*h + 4*q - 44 = 28, 0 = -q. Give f(h).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 74343489 a multiple of 63?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -33\/8738 and 57\/8738.\nAnswer: 8738","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:17 AM and 7:33 AM?\nAnswer: 376","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 17*y**3 - 5*y**2 - 5*y - 5. Let r(p) = 9*p**3 - 2*p**2 - 3*p - 2. Let x(b) = 5*r(b) - 2*t(b). What is the second derivative of x(g) wrt g?\nAnswer: 66*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 32 (b) -2 (c) 4 (d) -1565\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*n**2\/7 + 732*n\/7 + 726\/7 = 0 for n.\nAnswer: -121, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -h**2 - h. Let u be t(3). Let l = -50 - -31. Let a = u - l. Solve 0 = 2*q + a + 1 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 5*w - 2*p + 2, -w = 4*p - 14. Suppose -w*u + 9 = 7, -5*k + 1459 = -u. What is the tens digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 2832500?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = j**3 - 9*j**2 + 18*j - 6. Let w be (-2 + 3)*-4*3. Let p be ((-4)\/(-2) - w)\/2. Let z be a(p). What is the greatest common divisor of z and 33?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 163 - 61 + 1448*b - 43 - 59 - 1400*b.\nAnswer: 48*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) be the second derivative of 0*y**2 - 2*y - 1\/3*y**4 + 0 + 0*y**3 + 0*y**5 + 1\/10*y**6. What is the third derivative of k(g) wrt g?\nAnswer: 72*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 2*p - 100. What is the third derivative of -399*s**2 - p*s**6 + 17*s**6 + 240*s**2 wrt s?\nAnswer: -4560*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = j**3 + 4*j**2 + 2. Let h be a(-4). Let l be 8\/((-1 + 2)*h). Is l less than or equal to 5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -213 - -228. What is the lowest common multiple of h and 3*(12 + 21\/(-7))?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(68)\/(sqrt(12)\/sqrt(3) + sqrt(4) + sqrt(4)) - sqrt(17))*-1)**2.\nAnswer: 68\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 94, 186, 278, 370, 462, 554?\n\"Answer: 92*m + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (104 - 60) + -92 + 4\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -37 - -37. Suppose 2*p = -g - 2. Which is the closest to 0? (a) p (b) 3\/2 (c) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 4 - 1 + 2*u**2 - u - 1 + 4*u. Is m(-5) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 9.34 and -0.15283.\nAnswer: 9.18717","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = g**3 - 12*g**2 + 26*g - 3. Determine m(5).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -s**5 - 3*s**4 - 48*s**3 + 75*s**2 + s + 36?\nAnswer: -60*s**2 - 72*s - 288","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b + 122 = 114 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -63623 + -1?\nAnswer: -63624","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-2)\/4)\/((-3)\/102)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 21*k**3 - 13*k**2 + 13*k. Let n be 4 + 104\/(-28) + (-132)\/21. Let y(x) = x**3 + 3*x - 3*x**2 + 0*x**3 + 4*x**3. Determine n*c(g) + 26*y(g).\nAnswer: 4*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 165681.25 days?\nAnswer: 23668.75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 1 + 4)*(-1 + 7*x - 7*x + 12*x).\nAnswer: 12*x - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -131779879 or 1?\nAnswer: -131779879","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 3*x + 6361 + 4153 = 0, -3*s + x + 15771 = 0. Let m = 3352 - s. Let q be m\/(-35) - 3\/7. Calculate the highest common divisor of 6 and q.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in x - 65*x**2 + x + 61*x**2.\nAnswer: -4*x**2 + 2*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 105126*m**6 - 5*m**5 + 373*m**2 - 55?\nAnswer: 12615120*m**3 - 300*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 2, j: 1, s: 1, a: 2, u: 1}. Give prob of picking 1 i and 1 a.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 + 2061*s + 9*s**4 - 10*s**4 - 5*s**3 - 2063*s in the form o + c*s**3 + j*s**2 + l*s**4 + f*s and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 51843442?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand 136 - 107 + 2*k**2 - 3*k**2 + 0*k**2 - 5*k**2 + 4*k**2 + (-38*k - 13*k + 76*k)*(k + 0 + 0).\nAnswer: 23*k**2 + 29","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 476977.\nAnswer: 476977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 26465106*l**2 - 415*l - 77440 wrt l.\nAnswer: 52930212","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6 - 3. Suppose v + u - j - 9 = 0, 3*u - 9 = 0. Let r(q) = -q + 12. List the prime factors of r(v).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -20*k**3 - 4*k + 5. Let u(f) = -16*f**3 - f**2 - 5*f + 4. Calculate -5*n(d) + 4*u(d).\nAnswer: 36*d**3 - 4*d**2 - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 578 minutes before 5:50 PM?\nAnswer: 8:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 2104, 4181, 6280, 8407, 10568?\n\"Answer: r**3 + 5*r**2 + 2055*r + 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1246808446 to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the first derivative of n**4\/4 + 5*n**3\/3 - 5*n**2\/2 + 3*n - 2. Let x(p) = -p - 2. Let y be x(3). What are the prime factors of o(y)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1546 and -280.\nAnswer: 1266","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by 10369671.\nAnswer: 5\/10369671","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 3*f + 29. Let o be u(-9). Differentiate 0*t**2 + o*t**2 - 12 + 16 wrt t.\nAnswer: 4*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((u*u**(-2)*u)\/u)\/u*u)\/(u*u**(-1\/7))*(u**(-2\/7))**(-2\/79))**(-34) assuming u is positive.\nAnswer: u**(34782\/553)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -420 - 53936090956.\nAnswer: -53936091376","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*p**2\/3 + 60487336*p\/3 - 60487334\/3.\nAnswer: -2*(p - 30243667)*(p - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -b - 3. Let o be (-2)\/14*2\/b. Let d be (-6)\/14 + (-6)\/(-14). Which is bigger: d or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40*d - 4735 - 15025 = 0. What is the hundreds digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 765940915 to the nearest integer?\nAnswer: 27676","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 4*b**2 - 248*b - 32270. Determine j(126).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-21)*c)\/(c*c**(-29)\/c))\/(c\/(c\/c**(1\/8)))**49 assuming c is positive.\nAnswer: c**(23\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -s**2 - 17*s + 32. Let y be m(-14). Suppose 4*o + 112 = -364. Let g = -8 - o. What is the highest common divisor of y and g?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -13*t + 5. Let n be k(0). What is the third derivative of v**4 + 2*v - 4*v**2 + v**2 - 14*v**3 + n*v**2 wrt v?\nAnswer: 24*v - 84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 71 - 17 - (-392)\/350*-25?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pzzzzzppzzzz. What is prob of picking 2 p?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w - 3*x = w - 6, -3*w - 4*x + 13 = 0. Let y = 14 - 8. Suppose y*o = o + 15, -4*o + 28 = -4*p. Sort w, p, 1.\nAnswer: p, 1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 465791 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 84*m = 726 - 2070 for m.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*z + 10*z - 23*z**3 + 7*z + 21*z**3 as v + p*z**2 + o*z + w*z**3 and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 92635\/75 - (-8)\/(-60). Calculate the greatest common factor of 95 and y.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -223 (base 5) to base 3.\nAnswer: -2100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 863502 to the power of 1\/3, to the nearest integer?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 = 3*i - 2*p, -3*p + 14 + 7 = -218*i + 214*i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3322096 is divided by 7870.\nAnswer: 956","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-216)\/112*16\/(-36)*112\/6.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000001708024 to 7 decimal places.\nAnswer: -0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 + 167*g**2 - 2*g**4 + 42*g + 144*g**2 + g**3 + g - 316*g**2 in the form t*g + q*g**4 + b*g**3 + f*g**2 + h and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -o + 1. Let x(y) = 3*y + 2. What is 4*v(u) + 2*x(u)?\nAnswer: 2*u + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/3 of a year in months?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -k - 2 - 3 + 1. Let z(a) = a**2 + 11*a + 3. Let d be z(-9). What is the remainder when 41 is divided by n(d)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i**4 + 6756*i**3 + 5701386*i**2 + 2136875508*i + 300123785547 = 0.\nAnswer: -589, -537","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 - (-3 + (-4 + 2 - -5)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2251 * 10.2.\nAnswer: -2.29602","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 82699 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 355*q + 9435. Calculate c(-27).\nAnswer: -150","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 2526*n + 161655. Give f(-64).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pppppwppppppww. What is prob of sequence wppp?\nAnswer: 45\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 15\/4 of a gram?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 36a4 (base 14) to base 12.\nAnswer: 5640","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 26 = 5*m, m - 8 = 2*a - 2*m. Suppose 0 = 4*k, -t - k = -3*t. Let p = a - t. Solve -p*c = 3*c - 20 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2 - 1. Let l = a - 0. Calculate the smallest common multiple of -30*(24\/9 - 3) and l.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7586, 7352, 7116, 6878, 6638?\nAnswer: 6396","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 9602\/246285 + 39\/421. What is the common denominator of 6\/11 and h?\nAnswer: 6435","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 164686141 to the power of 1\/7, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 25357 and 9?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 36563747?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 21970722 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of -27.9 and 16.7.\nAnswer: -465.93","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 27355*z**2 + 201636*z wrt z?\nAnswer: 54710","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-207)\/3542*-55*(-14)\/(-20))\/(66\/16). Factor p*q + 1\/11*q**3 + 7\/11*q**2 + 0.\nAnswer: q*(q + 1)*(q + 6)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 5*a - 10 = 0, 0 = 4*a - 2*a + 8. Solve 1 + 9 = d*c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a millennium in years?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 2*m = 12. Let p(j) = -2*j - 3. Let o be p(m). Suppose o*q - 22 = -2*k + 7, -6 = -2*q. List the prime factors of k.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1291 is divided by 46?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32241 - 96733 - 13*q**2 + 32253 + 32239.\nAnswer: -13*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1120, -1123, -1130, -1141, -1156?\n\"Answer: -2*l**2 + 3*l - 1121","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*(l**3\/l)\/l*l**(2\/5))\/(l**6*l*l*l**(-1)))\/((l**(-2\/9)\/l*l**(-3))\/(((l**5*l*l)\/l)\/(l**(-6)\/l))) assuming l is positive.\nAnswer: l**(568\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*w + 8*w - 1368 = 0. Let f = -52 + w. What is the least common multiple of 2 and f?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1283 is divided by 33.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 673825.\nAnswer: 5, 26953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2724*x**4 - 2520*x wrt x.\nAnswer: 32688*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1110 or -870?\nAnswer: -1110","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/5 or 217372?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qepwqieewqiwp. What is prob of picking 2 p and 2 i?\nAnswer: 1\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j - 3*z - z = -17, -4*j + 4*z - 16 = 0 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 5120781?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 469181\/330 + -7116\/5. What is the common denominator of s and -91\/66?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -20915*z**2 - 5*z. Let q(k) = 109*k**2. Determine p(q(l)).\nAnswer: -248491115*l**4 - 545*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -650 - -560. Let a = q + 93. What is the remainder when 207 is divided by a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 1212, 3549, 7484, 13017, 20148, 28877?\n\"Answer: 799*d**2 - 60*d + 473","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.067 + -95.\nAnswer: -94.933","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*p + 0*p - 3*p)*(-2 + 2 + 4*p**2) - 3*p**3 + 2*p**3 - p**3 + (3 + 2 - 4)*(0*p**3 + 0*p**3 + p**3) in the form s*p**3 + n + o*p + w*p**2 and give s.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -60335 - -421977\/7. Suppose 2*q = -3*j + 3*q - 163, -5*q - 211 = 4*j. Which is smaller: j or y?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -47317302.48 and -22.471.\nAnswer: -47317324.951","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:03 PM and 11:56 PM?\nAnswer: 173","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -3292\/189 less than -13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1\/2 (b) -1\/3 (c) -1 (d) 4496 (e) -0.48\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:45 AM and 10:40 AM?\nAnswer: 235","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 18843462049 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -69 - -68.5. Which is the third biggest value? (a) -1.2 (b) q (c) 1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-3)*(28\/(-105))\/((-84)\/525)?\nAnswer: -10\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2529?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -346 + 335 + 1 + 6 + -1 + -21\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 38071?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 347, 645, 777, 737, 519, 117?\nAnswer: -475","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 27, 62, 95, 126, 155?\nAnswer: 182","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -b**2 + b - 1. Let r(c) = -45*c + 228. Let l be r(5). Let t(z) = 5*z**2 + 8*z + 3. What is l*f(j) + t(j)?\nAnswer: 2*j**2 + 11*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*i + 3*i**4 + 3 - i + 0 - 2*i**2 - 2*i as u + x*i + n*i**2 + l*i**3 + w*i**4 and give u.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16047*w + 396 = -16029*w. What is the smallest common multiple of 184 and w?\nAnswer: 2024","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8 and 18212?\nAnswer: 36424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 43.4 - 43.081. Let i = 2.681 + p. Which is the fourth smallest value? (a) 5 (b) 9 (c) i (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 285 - 285 - 5*l + 20*l as f + p*l and give p.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -78\/47 + -1742\/423. Calculate the common denominator of u and -16*((-924)\/(-186) + -5).\nAnswer: 279","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -r - 4. Let n be g(-6). Let f(t) = -t + 0*t - 3 - n*t + 9*t. Calculate the remainder when f(2) is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 26\/(-3)*(-60)\/(-192)*(-120)\/(-50)?\nAnswer: -13\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*i + 3*g + 340, 2*g - 4*g - 8 = 0. Suppose -5*m - r + i = 0, 74 = 5*m - 4*r + r. What is the remainder when m is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -f + 17*f**2 + 7*f**2 + 0*f**2.\nAnswer: 24*f**2 - f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -84 = -20*c + 177 + 79 for c.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 278471478 to the nearest integer?\nAnswer: 653","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 272 - 276. List the prime factors of 16\/((-282)\/71 - x).\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -217759 + -490718. Let l = -708471.9999968 - v. Let r = l - 5. What is r rounded to 6 dps?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a centimeter in micrometers?\nAnswer: 2400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.10261 weeks in hours?\nAnswer: 1193.23848","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -134, -824, -2706, -6380, -12446?\nAnswer: -21504","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24669 = 12*y - 22935. List the prime factors of y.\nAnswer: 3967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -32, -57, -82?\n\"Answer: -25*z - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 30811 + -95236803\/3091. Which is greater: 0 or p?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (33\/4620*75)\/((-50)\/(-7)).\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -234220356 by 1537.\nAnswer: -152388","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 44040?\nAnswer: 2, 3, 5, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8576 - 8582. What is the biggest value in 3, -269, p?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -u + 0*u**3 - 4*u**3 - 6*u in the form h + p*u + q*u**2 + b*u**3 and give p.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 223677788897 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (30 - 30 - 5*n**2)*(-n - 3*n - n).\nAnswer: 25*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-1)\/22)\/(2\/8). Suppose 5*u + 4 = -1. Which is smaller: u or r?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4223003 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 955 at least as big as 1042336?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8543, 17087, 25631, 34175, 42719?\nAnswer: 51263","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -6, 4, -145 in decreasing order.\nAnswer: 5, 4, -6, -145","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xx when two letters picked without replacement from {h: 4, x: 2, d: 8}.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the third derivative of p**6\/84 + 29*p**5\/70 + 7*p**4\/2 + 104*p**3\/21 - 55*p**2 + 2*p. Factor r(i).\nAnswer: 2*(i + 4)*(i + 13)*(5*i + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 22, 4, -30, -86, -170, -288, -446?\n\"Answer: -b**3 - 2*b**2 - 5*b + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 2*n. Let f(y) be the first derivative of y**3\/3 + 3*y**2\/2 - 28. Give u(f(p)).\nAnswer: 2*p**2 + 6*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -8\/3 - -7\/3. Let b be ((-4)\/(-42) + 0)*6. Let p = -2819 + 2814. Sort t, p, b, 3\/4.\nAnswer: p, t, b, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -j**2. Let q be 4\/(-3) - (-1)\/3. Let u(b) = 2*b + 8. Let g(l) = 1. Let y(n) = q*u(n) + 8*g(n). Give y(a(r)).\nAnswer: 2*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/13, -6\/5, 113?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.062 - 39.062. Let b = -39.00018 - w. What is b rounded to 4 dps?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 167401?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u**(-9\/4))**(-29)\/(u**(2\/31)*u**(-9)) assuming u is positive.\nAnswer: u**(5603\/124)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(833) + 0) - sqrt(833))**2 - (-5 + ((sqrt(833)*3)**2 - sqrt(833))).\nAnswer: 7*sqrt(17) + 13333","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*-1*(-17)\/(-51).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6 - -8. Suppose 0 = 3*z + y*z + 3*k - 34, -z + 20 = 5*k. Solve -5 - 10 = -z*u for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f - 4*k = -0*k + 8, 2 = -2*f - k for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2257845*v**4 + 32010*v**2 + 8*v - 1 wrt v?\nAnswer: 54188280*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*g + 3*g - 2*g + 2 - 4*g**3 + 2*g as y*g**3 + f*g**2 + d + o*g and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (90\/(-25))\/((-6)\/40). Suppose -b = 18*g - 6*g. Which is bigger: g or 0.9?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (-3*(3 + sqrt(2299)))**2.\nAnswer: 594*sqrt(19) + 20773","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 27044.59l?\nAnswer: 27044590","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 2, x: 1, i: 1}. What is prob of sequence uiux?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4, 4, 4\/7, -3, 2369?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -14283c (base 15) in base 7?\nAnswer: -11151252","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 3*c**2 - 5. Let a(f) = -181*f**2 + 3 + 5 + 177*f**2. Calculate 5*a(i) + 8*d(i).\nAnswer: 4*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 20*t + 3. Let k(g) = 7*g + 1. Let u be ((-22539)\/(-1366))\/(3\/2). Determine u*k(x) - 4*j(x).\nAnswer: -3*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -139*j + 559 + 5001. Calculate the remainder when 2393 is divided by j.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 65174930?\nAnswer: 2, 5, 191, 34123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 88*((-8)\/22 + 9\/33)*(-132)\/(-24)?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 119*y**3 + 159*y**3 - 444*y**3 + 106*y**3.\nAnswer: -60*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11\/37, -1\/5, -120, -1, -0.7 in decreasing order.\nAnswer: -1\/5, -11\/37, -0.7, -1, -120","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3082 is divided by 28?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2186.1176216 - 2144.11763. Let l = -42 + t. Round l to 6 dps.\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - 10*w**3 + 91*w**4 - w - w**2 + 93*w**4 - 189*w**4 + 8*w**3 + 5*w to the form g*w**3 + f*w**2 + r + x*w + v*w**4 and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (4*1\/4)\/(2\/(-10))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 151*t - 151*t + 12*t**2. Let u(a) = -2*a. Calculate k(u(h)).\nAnswer: 48*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o = 6, -3*c - 2 - 4 = o for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 137268 (base 10) to base 7.\nAnswer: 1111125","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -26 + (-17 - -25 - -7).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 33*l**3 - 4*l**2. Let i(v) = -32*v**3 + 3*v**2. Determine 4*i(o) + 3*x(o).\nAnswer: -29*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 615101 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 42*u + 4158. Does 15 divide w(-34)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13810 to the power of 1\/2, to the nearest integer?\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -1691ca0 (base 15) to base 11\nAnswer: -9298133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sum 185266419 and 3.3.\nAnswer: 185266422.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0 - -3*8\/12. Suppose -3*t = 3*b - 0*b - 18, 4*t - 12 = o*b. Suppose 0 = -z + t + 10. What are the prime factors of z?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -4*w + 4 + 2 - 2 - 3. Let i be d(-4). Let q(n) = -n**2 - 5*n - 4. Let s(p) = -3*p**2 - 14*p - 11. What is i*q(a) - 6*s(a)?\nAnswer: a**2 - a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(1568))**2 + -6*(0 + sqrt(2))**2*-4.\nAnswer: 6320","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = 2*c - 8, 3*c + 5*d + 15 = -6. Let p(a) = 4*a**2 + 9*a - 17. Let b(r) = -2*r**2 + 2*r + 35 - 22 + r**2 + 2*r**2 - 17. Determine c*p(n) + 9*b(n).\nAnswer: n**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 57\/16 and -77\/1152.\nAnswer: 1152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 4535.345um?\nAnswer: 4.535345","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 3 - 1)*(57 - 17 - 1 + 14143*f**5 - 39).\nAnswer: -84858*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -633113550 + -3?\nAnswer: -633113553","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3591 and 9489123?\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -8*l + 30. Let a be (1 - 0*(4 - 3))*-3. What is the lowest common multiple of 10 and s(a)?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.450187 years in months?\nAnswer: 101.402244","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 96, 0.3, 149?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Add 6788405906 and 0.4.\nAnswer: 6788405906.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 124 a factor of 1033405212?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.3 - -2. Let i = -4.3 - v. Let r = -4.999965 - i. What is r rounded to five dps?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = 6*h - h - 5*x, 3 = x. Solve -2*a = 5*o + 10, -h*o + a = -3*o + 25 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 23 + -102864\nAnswer: -102841","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 26334\/396*16\/(-28).\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 111\/50 and -1\/50.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 5, d: 3, q: 3, r: 2, g: 2}. Give prob of picking 1 q and 3 d.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -16.83? (a) 3 (b) -0.1 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 751075 a multiple of 65?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*c**2 + c**2 - 5*c**2 + (2*c + 3*c - 4*c)*(0*c + 0*c - 2*c) + 18*c**2 - 87 + 87.\nAnswer: 14*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -68, -263, -588, -1043?\n\"Answer: -65*w**2 - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 121 minutes before 1:25 AM?\nAnswer: 11:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12 + -1 - (-10 + (36 - 30))) + 46?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-1\/9)*v)\/(v\/(v\/(v*v**(3\/5)*v)))*(v**(-3)\/v)\/v**(-1\/7) assuming v is positive.\nAnswer: v**(-1754\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 74617?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -h**2 - 159*h - 466. Let w be u(-3). Let z(t) be the first derivative of -2*t - 6*t**w - 8 + 14\/3*t**3. Factor z(x).\nAnswer: 2*(x - 1)*(7*x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 76878739?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (2 - 9)*-1 + -3. Suppose 5*x + z - 213 = 0, -22 = x + v*z - 76. What is the tens digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1377*r - 4539*r**3 - 1377*r.\nAnswer: -4539*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -172 - -179. Let h(u) = -44*u - u**2 + 22*u + w + 3 + 17*u. Suppose 2*g - 10 = p + 5, 0 = p - 4*g + 23. What is h(p)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 23*a**2 - 49*a - 4. Let h(b) = 13*b**2 - 26*b - 2. Let y(s) = -7*h(s) + 4*n(s). What is y(6)?\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = p**2. Let y(z) = 78*z**2 - 94. Let s(r) = -5*l(r) - y(r). Differentiate s(o) wrt o.\nAnswer: -166*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(((sqrt(208)*1)**2 + sqrt(208))*5 + 3)*-2.\nAnswer: -2086 - 40*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 340 divided by -6?\nAnswer: -170\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence em when two letters picked without replacement from eorerormowwrowrmwrme.\nAnswer: 9\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*n - 10*n - 23*n - 2*n - 5*n + 43*n.\nAnswer: -n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -52, -101, -150?\nAnswer: -199","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2 - 3. Let t = 0.35 + -1.35. Which is the closest to t? (a) f (b) 2 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - 5*r + 60 = -2*s, -s + r + 28 = 0. What is the remainder when 98 is divided by s?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the first derivative of 1\/240*s**5 + 1\/96*s**4 + 0*s + 0*s**3 - 7 - 2*s**2. Let b(f) be the second derivative of q(f). Factor b(n).\nAnswer: n*(n + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 1798*u**2 + 13*u. Let g(n) = -2*n. Determine g(s(z)).\nAnswer: -3596*z**2 - 26*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4390 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1362, -1613, -1868, -2127, -2390, -2657?\nAnswer: -2928","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -164242*h*q**3 - 2*h*q + 11*q + 177 wrt q?\nAnswer: -985452*h*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ddidddddddddddd. Give prob of sequence ddid.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 2*b**2 - 3*b. Let c be n(3). Suppose c*r = 10*r - 40. Let u = 3 - -11. What is the remainder when r is divided by u?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*u - 90 = -16*u. Let d = 76 - u. Let x = 43 + d. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + (-1 + 3 - -1).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1356*m + 1350*m + 378 = 2652*m for m.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:01 PM and 9:49 AM?\nAnswer: 708","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 70139881?\nAnswer: 7, 10019983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -227758, -227021, -226284, -225547?\nAnswer: -224810","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -6157 (base 8) to base 11\nAnswer: -2434","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -10 - -1. Let q be 1\/(-66) - 21\/(-6 - -132). What is the second biggest value in q, a, -0.6?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 84763 and -0.0162.\nAnswer: -1373.1606","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5416248 is divided by 791.\nAnswer: 271","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -c29603 (base 16) in base 3?\nAnswer: -212222212222122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(228) + sqrt(228)*-1)*-6)\/(sqrt(768)*2 - (sqrt(144)\/(sqrt(12) + sqrt(12) + (sqrt(12) - sqrt(36)\/sqrt(3))) - sqrt(12))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 52 - (1 - 53 - (-176 + 140)).\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1074488 by 1.\nAnswer: -1074488","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-78*w**2 + 78*w**2 + 48*w**3 + (3*w + w**2 - 3*w)*(-2*w + w + 0*w) + 3*w**3 + 2*w - 2*w)*(4 + 56*w - 56*w - 5*w**2).\nAnswer: -250*w**5 + 200*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 6 = s - 4*q, -4*q = 3*s - 8. Suppose s = -5*a + 381 - 1551. Round a to the nearest 10.\nAnswer: -230","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f**3 - 63*f**2 - 246*f + 47549. Determine x(43).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzzzzzzzzzzzgzz. What is prob of picking 1 z and 1 g?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4 + 3a629?\nAnswer: 3a625","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 5050618, -3, -2\/15?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(13) + -2 + 5)**2.\nAnswer: 6*sqrt(13) + 22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 173 minutes after 7:29 PM?\nAnswer: 10:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.66 times 377175?\nAnswer: -626110.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 161*d**2*v**2 + d**2*v - d**2 + 11*v wrt v?\nAnswer: 322*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 39\/5? (a) 11 (b) -405.5 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 57 = -5*o + 33, 0 = 3*o - i - 52. Suppose 152 = 5*d + o. List the prime factors of d.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + (-6 - -10) + 1 - (-602 + 637).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 3 = -v + 5, 42 = 5*v - 3*l. Let n be 0 + v\/4 + -1. Let q = -3888 + 3888. Which is the closest to n? (a) -0.3 (b) 3\/7 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 330203208.\nAnswer: 2, 3, 3373, 4079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((-2*sqrt(45) - sqrt(45))*-3 - sqrt(45))*-3)\/(2*sqrt(1296) - -4*(sqrt(9) + sqrt(27)\/sqrt(3))))**2.\nAnswer: 45\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 498783.\nAnswer: 3, 53, 3137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2291, -4571, -6839, -9089, -11315, -13511?\nAnswer: -15671","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nifndiiif. Give prob of sequence nf.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the second derivative of 11*n**6\/30 - n**5\/2 + 89*n**3\/6 + 110*n + 3. What is the second derivative of g(p) wrt p?\nAnswer: 132*p**2 - 60*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-2))\/((20\/5)\/(-1))?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = 0, 5*v = -m + 3*m. Let w = 0.082194 - 0.082194. Which is the nearest to w? (a) 2\/7 (b) 0.3 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 1516, 1685, 1906, 2197, 2576, 3061?\n\"Answer: 3*k**3 + 8*k**2 + 124*k + 1381","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: a43 (base 11) to base 4\nAnswer: 103221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -g + 2*g + 22. Let i = 1 - g. Calculate the remainder when i is divided by 3*(-2 + (-28)\/(-6)).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) be the third derivative of 0*j**4 + 1\/15*j**6 + 0*j + 7\/15*j**5 + 0 + 0*j**3 - 24*j**2. Find the third derivative of h(p) wrt p.\nAnswer: 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -67600 + 66128 = -46*h for h.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*l**5\/2 - 1767*l**4\/2 - 3543*l**3\/2 - 1773*l**2\/2.\nAnswer: 3*l**2*(l - 591)*(l + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 77764 - 101*m + 77766 + 77768 + 104*m - 233298.\nAnswer: 3*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 11312444 (base 5) in base 14?\nAnswer: 29d36","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 184*l = -215*l - 84*l + 966. Factor -38\/7*b - 2*b**l + 12\/7.\nAnswer: -2*(b + 3)*(7*b - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*((-15 - -6) + 9).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -2*n. Let p(g) be the first derivative of -105*g**2\/2 + 45. What is w(p(z))?\nAnswer: 210*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -133 + 137. Suppose g*k + 1996 = 4*y, -4*y + 4*k + 2002 = 2*k. Let o = 710 - y. List the prime factors of o.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 108 is divided by 19?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 0*p - 5*p + p. Give k(-3).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -2*m**3 - 2*m**2 - m - 152. Is l(-11) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-18)\/4)\/(3\/(-4)). Let c(y) be the third derivative of 5*y**4\/6 + 15*y**3\/2 - y**2 - 19*y. What is the hundreds digit of c(r)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -7*i**2 - 7*i - 3. Let y(b) = 7*b**2. Calculate v(y(x)).\nAnswer: -343*x**4 - 49*x**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*m + 29 = 29. Suppose m = 9*w + 7*w + 448. Which is smaller: -32 or w?\nAnswer: -32","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7*a**3*d*o - 1306301*a**3*i**2*o + a**2*d*o - 2*a**2 - a*d*i*o + 2*a*d*o + 1402*a*i**2 - 165*d*i**2 wrt a.\nAnswer: -42*d*o - 7837806*i**2*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 288957 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -2*h**2 - 45*h + 28. Let s be x(-23). Suppose -2*i = -9*w + 4*w - 405, -s*i = -2*w - 1023. List the prime factors of i.\nAnswer: 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-74)\/14*(-570)\/95 - (-4)\/14. Solve -3 = 3*d, 29*d - 2 = -b + y*d for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = b**2 + 6*b + 31. Give n(-16).\nAnswer: 191","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 8, -7, 4, 0.\nAnswer: -7, -4, 0, 4, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12002221122 + 11?\nAnswer: 12002221210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2\/17 + 43\/68. What is the nearest to z in -3\/7, -5, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -13 + 7. Which is smaller: -7 or w?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 952, 1904, 2856, 3808, 4760?\nAnswer: 5712","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 2*a - 5*x = 9, -5*a + 2*x = -91. Suppose -5*d + 10*d = -g - 7, -3*g + 9 = 5*d. What is the remainder when a is divided by g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1000111110011 (base 2) to base 11\nAnswer: 34a8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -4*p**2 + 33*p + 17. What is the remainder when 70 is divided by t(8)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -42*k + 234 + 190 - 88. Calculate the remainder when 353 is divided by k.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4\/1649 - -311\/168198. Are s and -1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/(-3)*3\/3. Let i = 199093\/15 + -13267. Let z = i + -31\/5. What is the second biggest value in 0, u, z?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 9*c - 51. Let a be o(6). Solve 2*u = 5*z, -4*z = 2*u - a*u - 3 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*n**3 - 3543634*n**2 + 3543634*n**2 + 86.\nAnswer: -7*n**3 + 86","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 55a45 (base 13) in base 2?\nAnswer: 100101111110010001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -b - 6. Let p be z(-7). Let t(r) = -r - 1. Let l be t(-6). Put p, 3, l in ascending order.\nAnswer: p, 3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 4*x**2 - 3*x + 6. Let i be n(-7). Let v = i + -221. Solve 4*w - 10 = v*w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 14262 or -104?\nAnswer: 14262","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 4768 + -4774 - (1 + -1 + 0 - -18)\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3 - -1. What is the common denominator of 34\/(-7) - w - 3 and 18\/7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 128 divide 7040?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 442 and 27664.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - j - 31 = -132, j - 69 = -2*h. Calculate the lowest common multiple of h and 89.\nAnswer: 2848","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 6845264?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 475412.\nAnswer: 2, 7, 16979","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.2 - -0.1. Let j = 0 + b. Let t = j - -1.1. Is 2\/3 greater than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a and 2 t when four letters picked without replacement from akatttkkk?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -2*z + 17. Let o = z + 10. Is o a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 74\/49833 and 37\/54?\nAnswer: 298998","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y*y\/y**5))\/y*y\/((y*y**(2\/3))\/y)*y**(-2\/13)*y*y\/((y\/y**(-2\/13))\/y) assuming y is positive.\nAnswer: y**(196\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + (-4)\/60 + 2534\/210.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4748 - 2085. Calculate the remainder when y is divided by 37.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 24\/(-20) + (36\/(-135))\/(56\/(-42)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 190907?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k + 90*j + 5 = 87*j, 4*k = -j - 4 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 424 minutes before 8:08 PM?\nAnswer: 1:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 435414 (base 10) to base 12\nAnswer: 18bb86","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 591.67 meters to nanometers.\nAnswer: 591670000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9*a**3 - a**3 + 4*a**3 + (2*a + 4*a - 11*a)*(0*a - 2*a + 4*a)*(-a - a + a) to the form l*a + p*a**3 + j*a**2 + t and give p.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2 and -1153.594?\nAnswer: 2307.188","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 - (2 + 8 - (-102 + 86)).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 20*h*x**2 + 6*h*x - 271771*h - 153*x**2 with respect to x.\nAnswer: 40*h*x + 6*h - 306*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, 0.3, 44.3877 in ascending order.\nAnswer: -0.5, 0.3, 44.3877","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*o - 17 + 2. Let j(h) = -9*h**3 - 6*h + 6. Let i(d) = 0*d - 8*d**3 - 7*d + 2*d + 5. Give o*j(q) + 6*i(q).\nAnswer: -3*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-66)\/18)\/11)\/((-1)\/(-3))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 126.3 + -135. Let v = 43.4 - j. What is v rounded to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23133 a multiple of 94?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -2354\/7 less than -16?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 v when four letters picked without replacement from {v: 6}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -185*t**3 + 4*t**2 + 5*t + 2. Suppose -3*s - 2*s - 5 = -5*f, 5*f = 3*s + 3. What is the tens digit of u(s)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*a - h - 9, -20 + 6 = 4*a + 2*h. Let w be a + 1 - 85\/(-17) - 1. Solve 0 = -2*g + w*g + 10 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -45242\/21 - -2155. Let c = -109\/21 + y. What is the common denominator of c and 3 + ((-44)\/14)\/(-2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(-2\/77)\/j*j**(-2\/17)*j assuming j is positive.\nAnswer: j**(-188\/1309)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 166*m**2 - 264*m**2 - 56*m**2.\nAnswer: -154*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-15*v + 72*v + 161*v)*(4 - 64 + 32)*(-v + v + 2*v**3).\nAnswer: -12208*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 3 + 1 + 2 + x - 5. Let s be k(4). Let g be (-16)\/(-20)*s\/2. Solve -4*o = 2*f + 20, -g*f = -o + 4*o + 15 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -6*m. Let y(i) = 4*i**2 - 96*i. What is l(y(s))?\nAnswer: -24*s**2 + 576*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 21*p**2 + 220*p + 54. What is the tens digit of g(-18)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = -3 + 36. Let v = u - -49. Let a = 55 - v. Which is smaller: a or -3?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1*((-455)\/(-468) - (-3)\/(-4))\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -220112\/9 + 24464. What is the common denominator of -61\/2529 and j?\nAnswer: 2529","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 59904 by 72.\nAnswer: 832","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - w - 5 = 0, 0 = -b + 5*b + 3*w + 5. Let m(l) = -l**3 + l**2 + l. Let n(r) = 9*r**3 - 2*r**2 - 5*r - 2. Let x(z) = 6*m(z) + n(z). What is x(b)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = l**3 + 17*l**2 + 57*l - 31. Let y be a(-11). Suppose -4 = -v - 2. Suppose -5*g = -5*s + 450, y + 192 = 3*s + v*g. Does 22 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 55 - 49. What are 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 1076052 to the power of 1\/3, to the nearest integer?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (95 - (-11 + 53)) + 5?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 3*p + 107 = 0, 3*l - 41 - 21 = 4*p. Let x be 6 + 18\/24*-4. Suppose -68 - l = -x*y. What is the remainder when 119 is divided by y?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*o - 3*o - 2*o)*(-2*o + 0*o + 3*o) + (-6028*o + 38*o**2 + 6028*o)*(-2 + 5 - 2) + (5 - 4 - 2)*(2*o + 3*o - 6*o)*(o - 3*o + 3*o).\nAnswer: 37*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = p**3 - 154*p**2 - 86489*p - 461. Give j(-227).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -51*h**2 + 0*h + 53*h**2 + 0*h.\nAnswer: 2*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = t**3 + t**2 + 2*t. Suppose 0 = 8*l + 6 - 30. Let w be (10 - 16)\/(l\/(-4)). Suppose 5*v = v - w. Determine c(v).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:57 AM and 11:16 AM?\nAnswer: 559","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3)\/(-15)*0*-1. Suppose -5*h = -c - 14, 12 = 4*c - 2*h - h. Suppose k = c*k - 15. Put w, k, -3 in ascending order.\nAnswer: -3, w, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1781*c + 9835*c - 463860 = -3846*c for c.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 554732286?\nAnswer: 2, 3, 4993, 18517","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4*5)\/(-4) - 0. Suppose 18*p = 16*p + 10, k*p = -5*r + 400. What is the smallest common multiple of r and 35?\nAnswer: 525","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 492 and 222734550.\nAnswer: 246","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*k - 136 + 106. Let b be 52\/14 - 2\/(-7). Suppose -b*g = 5*x - 3*g + 6, -k*x + g - 2 = 0. Which is bigger: 2\/13 or x?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 105465913 to the nearest integer?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.4 less than -0.02366?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a millennium in centuries?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 2*w - 7. Calculate the remainder when 9525\/525 - (-4)\/(-28) is divided by z(6).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = -3*t + 94, 3*t + 120*d - 46 = 121*d. Suppose z + 78 = 4*z. Calculate the least common multiple of t and z.\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 219955 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 652174237757 + 0.2.\nAnswer: 652174237757.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18362.\nAnswer: 2, 9181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uyhisgi. What is prob of sequence usy?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -174 or -30261\/173?\nAnswer: -174","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -17, -0.04, -0.1, 0.05 in ascending order.\nAnswer: -17, -0.1, -0.04, 0.05, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 207 + -207.04. Let m = -477.46 - -483. Let x = m + n. What is x rounded to 0 dps?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 7824411 and 3780.\nAnswer: 156488220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 780408092?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 702 and 485955639.\nAnswer: 351","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -29840000 to the nearest one million.\nAnswer: -30000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -h - 1 + h - 2*h**4 - 2*h as n*h**3 + v*h + z*h**4 + p*h**2 + t and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10.831*1439.\nAnswer: 15585.809","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -17? (a) 1\/223 (b) 2 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -5*n**3 - 9*n**2 - 8*n - 1. Let c(o) = 4*o**3 + 9*o**2 + 8*o + 2. Let u(j) = 4*c(j) + 3*h(j). Let g be u(-8). Solve -16 = -g*m - 6 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:40 AM and 5:39 PM?\nAnswer: 719","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 172 times 9\nAnswer: 1548","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7 + 6. Calculate the remainder when 13 is divided by 1 - (y + (-4 - -2)).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5195421*a**6 + 42338991*a**2 wrt a?\nAnswer: -623450520*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5.4056 - -0.4056. Let r = -1.1 + 5.1. What is the second smallest value in r, 2, q?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 53.84909 grams to milligrams.\nAnswer: 53849.09","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is (0 - (-914)\/3) + 1\/3 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 240\/16*(-4)\/(-3) + -1. Suppose -1 = d - 0*d + 4*q, -5*q = -3*d + 65. Let s = t - d. Solve s*b - 6 = 2 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -157\/70686 and -4\/18711.\nAnswer: 636174","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 493\/153 + (-1 + 4)\/(-1).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 50159111 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.3 + 0.4. Let a be (-1)\/(2*14\/4 - 2475\/450). What is the closest to -1 in a, -41, -0.4, d?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -3*b + 4*b. Let m = -253 + 682. Let j be m\/65 + (-4)\/(-10). Solve -5*w + b = -j for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 21\/90 - (-5)\/30. Let p = -192 - -1346\/7. Which is the nearest to 3? (a) p (b) 2\/9 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 1713, 1706, 1687, 1650, 1589, 1498?\n\"Answer: -p**3 + 1714","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1044243000 a multiple of 150?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 4*v**2 + 2. Let a(m) = -m**3 - 3*m**2 + 3*m - 3. Let g be a(3). Let h be (-2)\/(-3) + g\/18. List the prime factors of p(h).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -a**2 + 11*a + 7. Determine v(12).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 846513?\nAnswer: 3, 94057","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-581)\/83)\/(3\/(-249))*((-9)\/(-21))\/(-3).\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-253)\/(-3) - (-2)\/(-6). Let u = 6 + 6. Calculate the greatest common factor of u and q.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 + -5 + (1 - 1)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*t**2 + 3948*t + 903944.\nAnswer: 4*(t + 361)*(t + 626)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -2*o**2 - 93*o + 5. Let b(l) = 6*l**2 + 279*l - 14. Determine 3*b(i) + 8*t(i).\nAnswer: 2*i**2 + 93*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -5*(-1)\/(-25)*3\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**14*s*s**(2\/3))\/(s\/s**(7\/6))**(1\/37))**38 assuming s is positive.\nAnswer: s**(66101\/111)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the third derivative of -1\/2*a**3 + 9*a**2 + 0 - 1\/30*a**5 - 1\/60*a**6 + 0*a - 1\/8*a**4. Determine u(-2).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:40 AM and 9:50 AM?\nAnswer: 130","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v + 4 = 0, 96*g + 2*v + 14 = 88*g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 71*r**2 + 342*r**2 - 234*r**2 + 399*r**2.\nAnswer: 578*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3 and -12.\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.381388771 rounded to 3 decimal places?\nAnswer: 0.381","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2885)\/(-13848))\/((-1)\/(-12))?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -41 + 26 + 55*f + 15 + 4120*f**2 - 51*f.\nAnswer: 4120*f**2 + 4*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 5 (b) 32 (c) -1\/15 (d) -0.189\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*c - 10*c. Determine n, given that 2\/3*n**5 + 0 + 0*n**4 + 2\/3*n + c*n**2 - 4\/3*n**3 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1\/(-4) - (-272)\/64. Solve 2*s + g = 3*s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 23594?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*c**2 - c**2 + 2*c**2 - c**2.\nAnswer: 11*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 257*t = 252*t + 20. Suppose 0 = 8*a - 5*a - 3*k - 9, 5*a - t*k = 16. Solve -2*r - 2*v = 3*v + 7, -a*r = -5*v - 1 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*q + 1 - 1)*(4*q + 4*q**2 - 4*q)*(4*q - 2*q + 0*q) + (0*q - q + 2*q)*(q**3 - 2*q**3 + 3*q**3).\nAnswer: 18*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 41, 91, 159, 251, 373, 531, 731, 979?\n\"Answer: f**3 + 3*f**2 + 34*f + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -52235 (base 7) to base 13.\nAnswer: -5aaa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (8005\/(-10)*-6)\/((-24)\/(-16))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 4*r = 35. Find the second derivative of 17*n**5 + 7*n - 81*n + 4*n**r + 17*n**5 wrt n.\nAnswer: 760*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 3, n: 1, y: 3}. What is prob of picking 1 n, 2 e, and 1 y?\nAnswer: 9\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 i when two letters picked without replacement from {g: 1, x: 6, i: 4, k: 1, z: 1}?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 87 + 199. Solve -307 = -7*r - l for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the third derivative of -b**6\/120 + 2*b**5\/15 - 5*b**4\/24 + 2*b**3 - 5*b**2 + 5*b. Determine o(8).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ivrvru. Give prob of sequence vvu.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1346 + -873. What is the second derivative of -137*t**3 + 216*t + 109*t - a*t wrt t?\nAnswer: -822*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 299, 440, 419, 236, -109, -616?\n\"Answer: -81*v**2 + 384*v - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b - 5*b = -110. Suppose b + 38 = 4*c. Let y = c + 8. Calculate the remainder when y is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -13 - -15. Solve -3*r = -3*y + 6, -q*y + 3*y = -r for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1.44? (a) 0.6 (b) -0.4 (c) -172154\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 416309?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) be the second derivative of 0*f**2 - 1\/2*f**3 + 8*f + 0. Let o(g) = 3*g. Give b(o(i)).\nAnswer: -9*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -9*b**3 - 4*b + 2. Let f(x) = -26*x**3 - 13*x + 7. What is -2*f(j) + 7*p(j)?\nAnswer: -11*j**3 - 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) be the first derivative of -h**6\/1320 - h**5\/220 + 3*h**4\/88 - 5*h**3\/66 - 61*h**2\/2 + 69. Let p(q) be the second derivative of f(q). Factor p(r).\nAnswer: -(r - 1)**2*(r + 5)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 169 - 88. Let y = -82.88 + t. What is y rounded to zero decimal places?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3210322 (base 5) in base 11?\nAnswer: -374a3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3321383320?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:37 AM and 8:36 PM?\nAnswer: 539","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (5 - (-243)\/(-45)) + -1?\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 10 = 35. Let w(l) = l + 7. Let u be w(5). Calculate the common denominator of -41\/10 and (-51)\/(-14*g\/u).\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7504 + 135017\/18. Calculate the common denominator of h and 149\/12.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sssssss. What is prob of sequence ss?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 423 is divided by 134?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 225 is divided by 5.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = f. Let v(c) = 5280*c - 1. Give g(v(p)).\nAnswer: 5280*p - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/(r*r**(5\/4)*r*r))\/((r\/(r\/r**2)*r)\/r))\/(r\/r**(2\/3))**(-24)*(r*r*r**(-3\/5)*r*(r\/(r\/(r*r**8*r)*r))\/r)**4 assuming r is positive.\nAnswer: r**(887\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p = -3*p + 12. Let n(l) = -3*l - 1. Let w be n(-1). What is the remainder when (42\/9)\/(w\/3) is divided by p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = -2*u + 12. Let l = -820 - -830. Solve -u*y - 5 = l for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -6? (a) 5 (b) 0 (c) -2\/11 (d) 0.1 (e) 0.1172\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 495310?\nAnswer: 2, 5, 49531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 9 = -n. Let o = n - -1. Let z be 0\/1 + (6 - o). Solve 4*y + 12 = 4*u, -6*y = -z*y + 2*u + 18 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 993732?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 63 divide 11202?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (-3 + -3*sqrt(500) + sqrt(500) - (sqrt(500)*-3 + 2))**2.\nAnswer: -100*sqrt(5) + 527","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 3, y: 7, f: 1, g: 2, s: 3, c: 2}. What is prob of sequence yty?\nAnswer: 7\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = b**2 - 22*b + 29. Give s(22).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 12 (base 3) to base 16\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 27758613 to the nearest integer?\nAnswer: 303","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 65 a factor of 2295065?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*i**2 + 5*i**2 + i**2 + (-5*i + 5*i - i)*(i + 0*i - 3*i) - 210*i**2 - 8050*i + 8050*i.\nAnswer: -206*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*x = 4*x + 8. Solve -2 = 3*w + x for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the second derivative of -299*j**7\/42 - j**3\/3 - 288*j**2 - 766*j. Find the second derivative of v(w) wrt w.\nAnswer: -5980*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 17*d**3*u**2*v + 5*d**3 + 2*d**2*u**2 - 5*u**2*v with respect to v.\nAnswer: 17*d**3*u**2 - 5*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -14*y**4 - 18*y**3 + 82*y**2 - 70*y + 12. Let a(x) = -x**3 + x**2 - x. Let b(g) = 8*a(g) - q(g). Solve b(l) = 0.\nAnswer: -3, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1 + -4704?\nAnswer: -4703","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 4 = -16. Does 5 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = -2*f + c + 8, 17 = 4*f + c for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 23905 by 23905.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 7ba3 + 3?\nAnswer: 7ba6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -1, 2, -16.\nAnswer: -16, -1, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-102)\/(-153)*30\/4. Factor d**3 + 3*d**3 - 11*d**5 + 9*d**5 - 2*d**i.\nAnswer: -4*d**3*(d - 1)*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2538 is divided by 6.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 474\/54 - 4 - (-2)\/9\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -28*i. Let z(q) = -494*q + 250*q + 248*q. What is b(z(r))?\nAnswer: -112*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 37 + -33. Suppose -b - 56 = -d*j - 0*b, -4*j - 2*b = -56. Suppose j*i - 12*i = 658. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 586 = 2*x, -3*p - p + 604 = -4*x. Calculate the remainder when p is divided by 50.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = v**3 - 13*v**2 + 11*v + 7. What is h(12)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -61\/1641 and -127\/18?\nAnswer: 9846","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the second derivative of z**7\/21 + 4*z**3\/3 + 7*z. Find the second derivative of l(a) wrt a.\nAnswer: 40*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11011 + -1?\nAnswer: -11100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 22.056 + -22. Let k = c - 1.056. Let l = 0.8 - -0.2. Which is bigger: k or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 272*t = 20*t + 32*t - 7040 for t.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-45)\/(-10)*4\/6. Suppose l*h - h = 32. Let x be 2 + (0 - h\/9). Which is the nearest to -0.1? (a) x (b) 2 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1904 to the power of 1\/2, to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3460, 6252, 9044, 11836, 14628?\nAnswer: 17420","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 698 is divided by 232?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + -2 + (-1 + (sqrt(17) - (sqrt(17) + 0)) - sqrt(17))*-1 + 2.\nAnswer: 3 + sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -66, -130, -208, -300?\n\"Answer: -7*h**2 - 43*h - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -52001 + 52001 + 13536*h.\nAnswer: 13536*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 10*a**3 - 4*a**2 + 8*a + 7. Let t be y(-4). Put -3\/2, t, 1\/5 in decreasing order.\nAnswer: 1\/5, -3\/2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -5*g**2 - 6. Let l(s) = -s + 4. Let x be l(-7). Let y(w) = 9*w**2 - 11*w**2 + 8 + 4*w**2 - 6. What is x*y(o) + 4*j(o)?\nAnswer: 2*o**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f - 5*u - 45 = 0, -4134*u = -5*f - 4130*u + 45 for f.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*s = -10*s - 84. Solve 5*m + s = -18 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - -6) + -25 + 23\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -19089*s + 171785. What is b(9)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (38 - 354 + 45)*(5*v**4 - 5*v**4 + 4*v**4 + (v - v**3 - v)*(-3*v + 2*v - v) + 2*v**2 - 2*v**4 - 2*v**2).\nAnswer: -1084*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -3 + v + 2 - 2*v. Let m be -6*((-2)\/(-8))\/(52\/104). What is y(m)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 79, 124, 169?\nAnswer: 214","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.2 + 0.3. Let s = 13 + -9. What is the nearest to 0 in w, 1, s?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1394 a factor of 3509828?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 89970 is divided by 141?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1381 + -139. Does 151 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4.94 - -0.06. Let o = -0.3 + 0.4. Suppose -4*i = -75636 + 75644. Sort o, i, -2\/5, x in decreasing order.\nAnswer: x, o, -2\/5, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 421 minutes after 11:24 AM?\nAnswer: 6:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -16738, -16294, -15552, -14512?\nAnswer: -13174","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (y**2 + 3*y - 3*y)*(-7*y + 108 - 108) - 4*y**3 - 9*y + 9*y to the form f + u*y + a*y**3 + z*y**2 and give a.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -3b (base 16) to base 4\nAnswer: -323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 405 = -89*x + 44*x for x.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*h*m*p**3 + 22*h*m*p - 4314*h*m - 7*m*p - 2097*m - 4*p**3 wrt h.\nAnswer: -2*m*p**3 + 22*m*p - 4314*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -7, 0.4, -1, 3?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 20993631.59389952 - 20991055.6. Let y = 2577.9939 - l. Let n = -2 + y. What is n rounded to 7 decimal places?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is sixteen fifteenths of a day in minutes?\nAnswer: 1536","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -64514513 by 2.\nAnswer: -64514513\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 3 - 1 + (-306 - 211 + 12)*(5 - 4 + 3))*(2 - x - 2) to the form z + k*x and give k.\nAnswer: 2021","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 1007991 to the nearest 10000.\nAnswer: 1010000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10684 + 4516 = 10*c. Calculate the common denominator of 9\/20 and (3\/8)\/(36\/c).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3791*s - 2440*s - 3070*s + 962*s - 368*s as d + b*s and give b.\nAnswer: -8707","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 173869316 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 13 and 970?\nAnswer: 12610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is (-45)\/(-30)*204\/9 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert f979c (base 16) to base 3.\nAnswer: 1220220201101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the first derivative of 5*y**2\/2 + 4*y + 1. Let o be l(-3). Let j be 2\/o + (-26)\/(-22). Let g(t) = t**3 + t**2 - t. Calculate g(j).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -95795790 divided by -6386386\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 449 at least as big as -1\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (1562\/33)\/((-2)\/6). Let x = c - -214. Is 18 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 423 a factor of 26825391?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (0 - -64 - -1) + -1. Suppose -199 + a = -3*z. Suppose 3*d - 6 - z = -3*k, -2*k + 5*d = -13. Solve 3*c + 5 = k for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(60) + -1*sqrt(60))*-5)\/((1*sqrt(120))\/sqrt(10)) + ((-1 + sqrt(500) + -5)*2)**2.\nAnswer: -480*sqrt(5) + 2144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -144 + 146. Let g be -6 + u\/(-3)*-12. Let h(r) be the third derivative of -r**6\/120 - r**5\/30 - r**4\/24 + r**3\/6 + r**2. Calculate h(g).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lssl when four letters picked without replacement from {q: 1, s: 4, l: 9}.\nAnswer: 36\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.278 + -1.022. Let t = b - 2.7. What is the closest to 3 in -0.3, -5\/4, t?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -130076 by 552.\nAnswer: -32519\/138","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 b when two letters picked without replacement from {s: 3, a: 1, b: 2, w: 1}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = 2*y + 1, 3*s + y - 24 = -0*y. Calculate the remainder when 11 is divided by s.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0\/((-1)\/(-1 - -2)). Let t = -14 - -18. What is the first derivative of b + 3 + 1 - 3*o**t wrt o?\nAnswer: -12*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-6)\/(-45) + (-868)\/(-465). Suppose 0*o = -3*o. Let f = o - -3. Solve -f*u - y = 7 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 682061 to the nearest integer?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 486*g + 152 = 479*g - 10*m, -2*m - 40 = -g + 3*g for g.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -189, -373, -557?\nAnswer: -741","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 309 minutes before 11:12 PM?\nAnswer: 6:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -121 = 12*i - 421. Suppose 0 = -i*w + 20*w + 25. Solve w*g - 4*v - 28 = 0, -4*g - 2*v = -v - 14 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tlmceem. What is prob of sequence mce?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.040519 to 2 decimal places.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - c = -4*a - 16, 4*a - 65 = -5*c. Let n = -7 + c. Let d = 1 + 5. Solve n*u + 12 = d*u for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 7628729*g**3 - 44*g**2 + 29913.\nAnswer: 45772374","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 4*y**3 - 22*y**2 - 8*y - 18. Let v = -25859 + 25865. What is j(v)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1428.9 + 1429.4. Sort 3.2, 5, g, -4, -0.2 in descending order.\nAnswer: 5, 3.2, g, -0.2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 198*l = 194*l + 5*n - 50, -29*l - 284 = 3*n for l.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1806)\/16856 - (-2)\/(14*-1).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -145, -26, -2 in increasing order.\nAnswer: -145, -26, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + sqrt(700)*-2)**2.\nAnswer: 200*sqrt(7) + 2825","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange p**2 - 908236*p**3 + 908238*p**3 + 18*p + 1 + 0*p**2 to y*p**2 + t*p**3 + d + h*p and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.75576846 rounded to 2 dps?\nAnswer: 4.76","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 339\/8 - 42. Let p be ((-6)\/9 - -4)\/(195\/9). Which is the biggest value? (a) -0.3 (b) x (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 296 - 80 = 2*q. Suppose -q*w + 32 = -100*w. Solve -5*b = w - 24 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 10*v + 238. Let n be z(-24). Let i(k) = k + 10. Let g be i(-5). Let p(y) = y**2 + 9*y + 4. Let b be p(-9). Sort g, b, 0, n in descending order.\nAnswer: g, b, 0, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 3 = -n, 2*i + 6 = 2*n - 0. Let t = -0.3 - 0. What is the nearest to i in t, 0, 1\/4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 24 (base 9) to base 8\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the first derivative of 4*x**3\/9 - 28*x**2\/3 - 20*x + 124. Find f, given that q(f) = 0.\nAnswer: -1, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 8*h**3*o - 23245235*h**3 + 3*h**2*o - 2167*h*o + 18*o + 2 wrt o.\nAnswer: 8*h**3 + 3*h**2 - 2167*h + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 56 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = 5*i + 340, 2*u = -2*i + 5*i - 156. Let n = 10147\/138 + -2\/69. Let q = u + n. Sort 0, -2, q.\nAnswer: -2, 0, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 5540?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/(-5))\/(2\/(-15)*6).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.04 - -102.1?\nAnswer: 102.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/19, -10\/29, 2, -2.2?\nAnswer: -10\/29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 168589800 is divided by 2222.\nAnswer: 2216","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -88, -90, -92, -94?\n\"Answer: -2*o - 86","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4 + (-2)\/(2 - 0). Suppose -2*f + 5*z = -62, 2*z = -g*f + f + 34. What is the tens digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -w**2 - 7*w + 6. Let n be f(-7). Suppose 2*t - 6 = 0, a + 2*t = n*t + 22. What is the tens digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-318)\/144)\/(-53))\/((-3)\/12)\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + 6*sqrt(325)*-3 + sqrt(325) + sqrt(325) + ((3 + sqrt(325) + sqrt(325) + -2)**2 - sqrt(325)).\nAnswer: -65*sqrt(13) + 1296","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 83260 a multiple of 460?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 4302 * 3\nAnswer: 12906","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*r - 19 = -3*g + 11*r, -3*g + 3*r + 18 = 0. Which is bigger: g or -3\/4?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*a**3 - a**3 + a**3)*(-4*a + 2*a + a) + (-4*a**2 + 2*a**3 + 4*a**2)*(-6*a + 5*a + 12*a) + 2*a**4 - a**2 + a**2.\nAnswer: 27*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3085 or 1166605\/378?\nAnswer: 3085","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24 = -78*s + 73*s - m, m + 12 = -s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/c**(-4\/7))**(-19)\/(c*c*c**26*c*c**(-15)) assuming c is positive.\nAnswer: c**(-307\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - 22) + (-17 - (-6 - 24)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 309138 + -1321564939\/4275. Calculate the common denominator of y and 127\/450.\nAnswer: 8550","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6 - -2) + (74 - 77)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -463\/187 + 39\/17. What is the smallest value in s, -9, -2\/3?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (57\/38)\/(1\/(-2)). Let c be d\/1 + -4 + 18. Is 10 a factor of 2 + 2 + c + 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 45 + 1039 = 0. Let m = t - 1083\/4. Let d be 5\/12 - (-4)\/16. What is the nearest to m in 1, d, 0.09?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 121280 and 1176.\nAnswer: 17828160","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4)\/(-2*(0 + 1)). Let s(j) = 3 - 2*j - 3*j + j - j. Calculate s(r).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 44*a**2 + 1898*a + 6911. What is l(-4)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 56 divide 2365?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*x + 311 - 519 = -o, x = -5*o + 275. What is the remainder when (1\/(-1))\/((-2)\/334) is divided by o?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 + 1 = -3*q. Let w(y) = -34*y + 63. Let a be w(2). Put q, 5, a in ascending order.\nAnswer: a, q, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 8569, 257, -10 in descending order.\nAnswer: 8569, 257, 3, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1024075529?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 73879540 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: Let x(i) = 3*i. Let g be 68\/153*15\/2. Let d(t) be the first derivative of -g*t**3 + 0*t + 0*t**2 - 4. What is d(x(o))?\nAnswer: -90*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.27381 + 49.\nAnswer: 49.27381","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 715 divide 7556768?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 15477*l - 1640552. What is u(106)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (46\/46)\/(69\/4324)*2\/(-4)*-3?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -281 by 3.\nAnswer: -281\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 30313 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 260585 and 650.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 14399073?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 5\/4 of a day?\nAnswer: 1800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (12 + 11*j - 12)*(3*j - j + 2*j)*(3 + 0 + 0) to the form k*j**2 + w*j + v and give k.\nAnswer: 132","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 1 (b) 1\/3 (c) 272 (d) 1\/2 (e) 4 (f) -2.9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 403 and 31.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/(15\/20))\/(1\/3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 130 minutes after 9:50 PM?\nAnswer: 12:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1217\/3 + -8513\/21. Which is the nearest to j? (a) -3\/5 (b) -2\/9 (c) 0.4 (d) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*x - x - 4*x + 37*x.\nAnswer: 19*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3373 - -3558. Let i be (-38)\/(-14) + (-4)\/(-14). Suppose -i*p + 188 = p. Calculate the remainder when x is divided by p.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 10\/(-4) + 2\/4. Let r(x) be the second derivative of x**5\/20 + x**3\/3 - x**2\/2 - 15047*x - 1. Let a(o) = o**3 + 2*o - 1. Calculate q*a(t) + 3*r(t).\nAnswer: t**3 + 2*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*o = 27*o + 16. Suppose -2 + o = 2*q + z, 0 = -q - 5*z + 12. Suppose 0 = -6*n + q*n + 236. What is the tens digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -1*-6*20\/(-555) and 7\/9.\nAnswer: 333","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -605e9 - -9?\nAnswer: -605e0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 27 = -p, 4*o + 6*p = 5*p - 55. Let h be o\/5*1 - (-132)\/44. Which is the second biggest value? (a) 1 (b) h (c) 2\/3 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = -10*c + 2 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Are 270 and 272 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1434 - 11457\/8. Determine x, given that 0 + 0*x**2 + 3\/4*x**3 + 0*x - z*x**4 = 0.\nAnswer: 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 99706?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(24)*1*-3)\/(sqrt(12) + sqrt(12) + sqrt(48)\/sqrt(4)*2).\nAnswer: -3*sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -2*z**2. Let r(f) be the second derivative of 5*f**4\/2 + f**3\/3 - 124*f. Give r(x(w)).\nAnswer: 120*w**4 - 4*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 729, 870, 1105, 1434?\n\"Answer: 47*g**2 + 682","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -a**2 - 3*a - 1. Let v be m(-1). What is the third derivative of -3*n**2 + n**4 + 1 - v + n**2 wrt n?\nAnswer: 24*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the first derivative of 2*y**2 - y**2 - 1 - 2*y**2. Let q(c) = -2*c. Let g(l) = 10*l. Let n(r) = -6*g(r) - 33*q(r). Calculate p(n(a)).\nAnswer: -12*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -23bd9 (base 16) to base 10\nAnswer: -146393","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-44)\/(-792)*-18)\/((-3)\/198*3).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sum -159529.6918 and -2.\nAnswer: -159531.6918","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -l**3 - 14*l**2 + 3*l + 11. Give p(-14).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 23985741 and 936.\nAnswer: 575657784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 2*s + 255. What is the remainder when b(-10) is divided by 79?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 - (-6 + 3 + -1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let 196*i**5 - 966*i**4 + 5993*i**3\/4 - 2693*i**2\/4 - 54*i - 1 = 0. What is i?\nAnswer: -1\/28, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the third derivative of n**7\/840 - n**6\/120 + n**5\/60 + 16*n**2 - 3*n. Factor d(l).\nAnswer: l**2*(l - 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yir when three letters picked without replacement from {i: 2, y: 4, r: 2}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = 4*r + 5899306 - 1072162, 0 = -a - 3*r + 1206814. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -173 + 19 = -5*i - 3*x, 2*i - 5*x = 74. Let r(t) = 14*t + 17*t - i*t + t**2 - 1. Calculate r(-3).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**15\/h**19*h**25\/h**12)**(8\/5) assuming h is positive.\nAnswer: h**(72\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 4*a**2 + a - 1. Let d(j) = -25*j**2 + 4*j + 14. Let o(k) = d(k) + 6*g(k). Calculate o(10).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2363 at most 674\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3050 - 3161. Let b = 110.0564 - -0.0536. Let m = h + b. Round m to one dp.\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 448\/(-144) + (-1)\/(-9). Let x(c) = 3*c**2 - 8*c - 3. Let p(b) = -b**2 + 4*b + 2. Let m(k) = -5*p(k) - 2*x(k). Give m(y).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 5, i: 2, k: 3}. Give prob of sequence kii.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:09 AM and 2:41 PM?\nAnswer: 572","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -13 + (32 + -8 - 42) + -1 + 0.\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*c - 33*c - 4*o = 4226, 4*o = 3*c - 2542. What is the highest common factor of 2 and c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*b + 2*i + 2 + 5, 8 = -3*b - i. Let j = 148 + -149. What is the closest to j in -3\/2, b, -1\/12?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g - 11 = 7*f + 2*g, f + 3*g + 731 - 750 = 0 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 75912 to the power of 1\/2, to the nearest integer?\nAnswer: 276","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 1109*p + 1130. Calculate d(-1).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*d + d + d)*(0 + 2 + 0) + (-6 - 7 + 14 - 7*d)*(34 + 5 + 4) to the form u + z*d and give u.\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 31497, 60504, 89511, 118518, 147525, 176532?\n\"Answer: 29007*b + 2490","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uul when three letters picked without replacement from ullllllulllllllllll?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 2, f: 9, w: 2}. What is prob of sequence wefw?\nAnswer: 3\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5206 and 60121491?\nAnswer: 2603","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6252 (base 8) to base 5.\nAnswer: 100432","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (15 + -8 + -6)\/((-1)\/(-42)). Let u(t) = -15*t + 2. Let h be u(4). Let k = f + h. Is -16 < k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = n**3 + 23*n**2 - 5*n - 55. Calculate the remainder when 88 is divided by f(-23).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -545 - -560. Suppose 5 = 4*r - n - 5, -7 = -3*r + n. Let z = -1 + r. Solve -3*f - z*f = k for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.014555ml to litres.\nAnswer: 0.004014555","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -4, 35, 157, 0, -3 in ascending order.\nAnswer: -4, -3, 0, 3, 35, 157","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 226396?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -0.567409139 times 0.5\nAnswer: -0.2837045695","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 z when three letters picked without replacement from zozdzddgozdozzdgz.\nAnswer: 7\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*d - 16 = -11*d + 15*d, -4*z + 2*d = 0 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from paabaaaaabajyaaamjab. What is prob of sequence apy?\nAnswer: 1\/570","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 8 + 13 - 65*c - 4.\nAnswer: -65*c + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -72283026 * 1\nAnswer: -72283026","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4\/(-3 + 31\/11). List the prime factors of (t\/3)\/(18\/(-27)).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 5, w: 8}. Give prob of picking 4 w.\nAnswer: 14\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -4, 2, 3, 196 in decreasing order.\nAnswer: 196, 3, 2, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = l**3 - 3*l**2 + l - 1. Let h be m(3). Let f be 2 - (20\/h + -2). Let s(x) = -2*x**2 - 285*x + 293*x + 9 + 3*x**2. Calculate s(f).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 250*b - 250*b + 74 - 3*b**2 + (-2*b + 0*b + 0*b)*(-b - 2*b + 5*b) + (0*b + 0*b - b**2)*(0 + 3 - 2) in the form l*b + f*b**2 + c and give c.\nAnswer: 74","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n**5 - 70572*n**4 - 988749*n**3 + 3601326*n**2 - 282252*n - 4801752 = 0.\nAnswer: -17, -1, 2, 23538","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in three fifths of a kilometer?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -1\/42 (b) 14.8 (c) 2\/169 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (349*u - 139*u + 206*u)*(-2 - 2 + 5)*(4 + 0 + 0) to p*u + n and give p.\nAnswer: 1664","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.9340186 months in decades?\nAnswer: 0.024450155","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + k = 5*k - 42, 5*q + 105 = 4*k. Let r = q - -27. Suppose r*a - 102 = 4*a. Does 15 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of r**5 - 22*r**4 + 62*r**2 - 19070*r.\nAnswer: 20*r**3 - 264*r**2 + 124","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 3*x - 22. Let y be n(8). Let a be -3 + (10 - 10\/y). Solve 0 = q + a*j - 10, 5*q - 5 = j - 2*j for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26083 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 283602497 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkkokkokkkk. What is prob of sequence oo?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 693020?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -2*v**3 + 3*v**2 + 2*v + 19. What is h(0)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -15 + 21. Let t = y + 85. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11403175.\nAnswer: 5, 7, 17, 3833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/5, 31, 1\/6, 0.8 in ascending order.\nAnswer: -2\/5, 1\/6, 0.8, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.2 * -0.4.\nAnswer: 0.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -830 + 821 + 4 + (-2 - 26)?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*v**3 - 1554*v + 1577*v - 38*v**3 + 2*v**2.\nAnswer: -31*v**3 + 2*v**2 + 23*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 10*27\/((-5670)\/(-28))*67*36\/24?\nAnswer: 134","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.41 + 0.22. Let q = -0.01 + u. What is the second biggest value in q, -2\/15, -0.1, 6?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 67*o - 85*o = -132 - 12 for o.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 m when two letters picked without replacement from ooppoomoomeom?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Expand (7*j**3 + 34*j**3 - 17*j**3 + (-2*j**3 - 2*j + 2*j)*(-3 + 3 + 1) + 1 - 1 - j**3)*(-2*j**2 + 0*j**2 + 3*j**2).\nAnswer: 21*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - a + 3*v - 12 = 0, -16 = -3*a - 4*v. Suppose 2*i - 4*i = a. What are the prime factors of 0 + -1 + i - -13?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = 2*v - 2 + 12, -v - 2*r = -4. Let t be -1 - (-2)\/2 - v. What is the third derivative of 6*q**4 + 0*q**4 + 7*q**2 - 13*q**t wrt q?\nAnswer: 144*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 285207435?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 153325, 613318, 1379975, 2453296, 3833281, 5519930, 7513243?\n\"Answer: 153332*v**2 - 3*v - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - k - 46 = 8, 13 = y - 4*k. Let d(p) = p**3 + 7*p**2 - 2*p - 4. Let f = 3 + -10. Calculate the remainder when y is divided by d(f).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4.82 - 0.18. Which is the closest to 3? (a) -0.1 (b) d (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((2 + -1 + sqrt(1700) + sqrt(1700) - sqrt(1700)) + (sqrt(1700) + (0 + sqrt(1700))*-3 - sqrt(1700)))*1)**2.\nAnswer: -40*sqrt(17) + 6801","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13 + 2256 - 300)*(-5 + 5 - g).\nAnswer: -1943*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 34*c**2 - 47*c + 35. Let s(f) = 9*f**2 - 12*f + 9. Let g(p) = 4*h(p) - 15*s(p). What is g(5)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 97213 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - 5*t = -4*g - 19, t = -4*g + 114. Let l be 33\/3 - (-5 + 2). Let v = -4 + l. What is the remainder when g is divided by v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 405 minutes before 3:02 AM?\nAnswer: 8:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2 + -1 + (-6)\/(-3). Let a = o + 9. Suppose -2*h - 6 + a = 0. Solve -2*r + h + 3 = 0 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 43828 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 140 = -48. Let m = z - -19. Let w = -1839\/11 + 167. What is the nearest to 0.1 in -3, m, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10100000100 - 1010?\nAnswer: 10011111010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = v**2 + 179*v - 13125. Calculate c(56).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 169*p - 13 = -21*p - 3707 - 1626 for p.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*d - 2 + 2)*(-10 + 0 - 1).\nAnswer: -33*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1101 - -1100.9477. Let w = i + 0.048. What is w rounded to three dps?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 8*w. Let q be l(1). Let x be (5 + 1)\/(12\/q). What is the units digit of 5\/((-10)\/x) - -4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 2 + 3*j + 2*j - 1 + 1 + (-2*j + 2*j - j)*(4 + 0 - 3) - 5 - 2*j + 5 as k + g*j and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the third derivative of -43*x**6\/30 - 187*x**5\/30 - 6*x**2 - 10*x. Find the third derivative of v(r) wrt r.\nAnswer: -1032","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 greater than or equal to -4\/93?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 2*b + 19 = -5*b, -26 = -4*u - 3*b. Suppose u*p + 72 = -p. Which is greater: p or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 80992 and 32?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = -2*p - 640, 20 = p + 3*p. Let k = -260 + u. Let q = -90 - k. What is the units digit of q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 20\/(-25)*30\/(-4). Let b be 1\/2*(-2)\/(-1). List the prime factors of (-3)\/q*(-158)\/b.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*m + 4*b - 2, -5*b = 3*m - 21 - 0 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4*-1*18\/(-4). Solve 2*k + v - 14 = 0, -t = 3*k + 3*v - 45 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lv when two letters picked without replacement from vlvelwlellllflkevll?\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -65668547 and -5.\nAnswer: 328342735","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) be the second derivative of -k**4\/24 - 5*k**3\/3 + 7*k**2\/2 + k. Let h(z) be the first derivative of b(z). What is h(-8)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*h + k = -35*h - 18, 15*h = 16*h + 10*k + 180 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cgceeceecgcegexccg. Give prob of picking 1 g and 1 x.\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*n - 3*n + 12. Let x be (n\/(-10))\/(9\/15). Let v be (-6)\/((-2)\/(-4)*-3). What is the second smallest value in x, -3\/7, v?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 7, w: 1}. Give prob of picking 1 q and 1 w.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -42, -41, -42, -45, -50?\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) be the second derivative of -h**5\/10 + 75*h**4\/7 - 2432*h**3\/7 + 2048*h**2\/7 - 2413*h. Factor m(k).\nAnswer: -2*(k - 32)**2*(7*k - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 193951 is divided by 2515.\nAnswer: 296","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*m - 5*m + 19425. What is the common denominator of -9 and (-15614)\/m - (-4)\/10?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the second derivative of s**3\/3 + 5*s**2\/2 - 3*s. What is g(-5)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}