diff --git "a/data/dm_maths/full_data_1/1385_11255.jsonl" "b/data/dm_maths/full_data_1/1385_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/1385_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Let j be (0 - 1)\/2*(19 - 19). Solve -2*m + u - 5 = 0, -5*m + 3*u - 13 + 0 = j for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 50 = -5*o. Suppose -c + 4*c + 145 = o*n, -4*n + 116 = -c. Let a(w) = w**2 - w + 2. What is the remainder when n is divided by a(3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 2\/55382919?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41 = -3*n - t, 0 = 3*n + 2*n + 5*t - 65. Let f = 10 - n. Let i = 10 + f. Solve -3*m + 0*m + x = 6, 2*x - i = 0 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(153) + sqrt(153)*-3)**2 - sqrt(153)) + 5 + -4.\nAnswer: -3*sqrt(17) + 3673","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 208609 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23354.\nAnswer: 2, 11677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by -20322\nAnswer: -1\/6774","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -3*a - q, 2*q + 3*q = 2*a + 31. Suppose -v + 0*v + 3 = 0. Let f = v + a. Solve -2*w - 8 = f, -3*w = x - 2*w + 1 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 89139791*l**5 - 3*l**2 - 2783123*l.\nAnswer: 5348387460*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1091.8 + 0.0526.\nAnswer: -1091.7474","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*(-20)\/(-35)*(0 - 7).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7 - -8. Let s be 4\/(-48) - g\/4. Let f = -0.08 - 2.92. Which is the second biggest value? (a) f (b) s (c) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (15290\/16680)\/(5\/(40\/(-44)))?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -12408 by -44.\nAnswer: 282","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3)\/(((-39)\/(-140))\/(-13)). Let k be 1 + i\/(-34) - -3. Which is greater: 1 or k?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11253?\nAnswer: 3, 11, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 4738808 to the power of 1\/2, to the nearest integer?\nAnswer: 2177","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*i**3 - 27250*i**2 + 54405*i + 408600.\nAnswer: 5*(i - 5448)*(i - 5)*(i + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16461471 = 109*m + 16458746 for m.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 34.0007 - 34. What is d rounded to 4 decimal places?\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 12 = 5*k, 12 = -p + 6*k - 4*k. Put 6, p, 0.1 in ascending order.\nAnswer: p, 0.1, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1003620 divided by 43?\nAnswer: -23340","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -d**2 + 20*d - 18. Let n be i(18). Suppose 0 = -3*t + 4*r + n, 2*t - r - 5 = t. Solve q + 3*q - 11 = a, -2 = 2*q - t*a for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 171 minutes before 1:07 AM?\nAnswer: 10:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 9*i**2 + 134*i + 821. Determine k(-6).\nAnswer: 341","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v - 2*m - 6 = 0, 4*m + 16 = -3*v + 2 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -1122931, -1122928, -1122923, -1122916?\n\"Answer: g**2 - 1122932","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -10 - -9. Let x = -2 + 7. Which is the nearest to j? (a) -1\/5 (b) -0.4 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 2, v: 5, r: 6, o: 2, t: 1}. What is prob of picking 1 t and 1 r?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -10*l + 2. Let s be c(0). Calculate the remainder when 114 + (s - (1 + -4)) is divided by 42.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 225, 4, -48784 in increasing order.\nAnswer: -48784, 4, 225","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 13*o + 17. Let d be q(-1). Suppose -3*h - 4*n + 1364 = 0, -2*h - 896 = -4*h + d*n. What are the prime factors of h?\nAnswer: 2, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1247 less than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 147641725?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3944722654.\nAnswer: 2, 59, 71, 157, 2999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/5 (b) 1\/5 (c) -7.7 (d) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -11000100 (base 2) in base 12?\nAnswer: -144","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2174 + -11. Is 21 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 59\/19764 and -59\/19764?\nAnswer: 19764","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (612\/(-119))\/6*(-4)\/(-3).\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 54\/5 of a meter in centimeters?\nAnswer: 1080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 730.7 rounded to the nearest 10?\nAnswer: 730","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = 4*g - 24, 5*g + 5 - 37 = -3*y. Let t = -36 - -41. Suppose 0*n = -t*n + 40. Calculate the lowest common multiple of n and g.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5.5 + 5.3. What is the nearest to -0.6 in t, -2\/5, -3?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.040323 rounded to 3 dps?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 77, 305, 685, 1217, 1901, 2737?\nAnswer: 3725","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 17089077 to the nearest integer?\nAnswer: 258","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = j**2 + 6*j - 27. Calculate s(-7).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 6*n**2 - 2*n + 5. Let w be g(3). Suppose w = -6*s + 203. Is s a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/527 (b) -26\/5023 (c) -3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 133103403 by -133103403.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 162 at most 177?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 17109*a**3 - a**2 + 2. What is the tens digit of n(1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (314*t**2 - 314*t**2 + 2*t**4)*(4*t - t - 5*t + (-t + 0*t + 3*t)*(4 - 4 - 2)).\nAnswer: -12*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -1512342*b + 22685137. What is o(15)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s**2 + 0*s - 7*s + 2*s. Let k be c(-4). Solve -2*r = 3*z - 0*r - k, -5*z + 16 = r for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.113 - 0.113. Does t = -2.46?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 501 minutes before 11:56 AM?\nAnswer: 3:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/((-8)\/(-36))*(-22)\/363.\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*w**3 + 0*w**3 - 3*w**3 + (-3*w - w + 2*w + (3 - 1 - 3)*(2*w - 3 + 3))*(-3*w**2 - 2*w**2 - 2*w**2).\nAnswer: 30*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1\/210 - -433\/2730. Let t = -9.1 - -9. Which is the biggest value? (a) -3 (b) n (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000451757619 to five decimal places.\nAnswer: -0.00045","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7308209?\nAnswer: 41, 178249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1079588 + 22671350\/21. Factor -2\/21*i - 16\/21*i**2 + 16\/21 + j*i**3.\nAnswer: 2*(i - 8)*(i - 1)*(i + 1)\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 2, w: 1, d: 3, b: 1}. Give prob of picking 2 d and 1 w.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 9150364 by 2287591.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q**2. Let x(w) = 2*w**2 + 29*w + 8. Let c be x(-14). Let g(b) = -3*b**3 + 6*b**2 + b + 1. Give c*a(t) + g(t).\nAnswer: -3*t**3 + t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*o - 0*o - 84. Calculate the smallest common multiple of 42 and o.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3 + 4 - 2)*(-2 + 0 + 0) + 0 + 2 + 1)*(-5*p + 3*p + p)*(4764 - 4764 - 406*p).\nAnswer: 2030*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:49 PM and 7:35 AM?\nAnswer: 466","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -h**3 - 11*h**2 + 19*h + 9. Let l be p(-13). Suppose 0*u = 2*m - 2*u - 116, 2*u = -2*m + l. Calculate the highest common factor of 36 and m.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r**3 - 3*r**2 - 3*r + 54. Let b(t) = -2*t**3 + 5*t**2 + 5*t - 108. What is -3*b(d) - 5*s(d)?\nAnswer: d**3 + 54","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 7751838 to the power of 1\/8, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 7*b**3 + 210*b**2 - b - 1228. What is s(-30)?\nAnswer: -1198","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 520304 + -40?\nAnswer: 520224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -488*c**2 + 396*c**2 + 88*c**2.\nAnswer: -4*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4960 is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -73 + 17 + 34 + 9 + 13 + 3*g.\nAnswer: 3*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 212556100 rounded to the nearest 100000?\nAnswer: 212600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -8714\/129 at least -67?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.1 minus -0.07?\nAnswer: -1.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 2*p**3 - 5*p**2 + 4*p - 3. Suppose -18 = 5*d - 3. Let x be (-9)\/(d + 0) + 0. What is the remainder when 53 is divided by b(x)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20718\/7 + 3 + 6\/(-105)*-5 is divided by 76?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-63)\/(-2)*(-3162)\/3689\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the first derivative of i**5\/60 - i**4\/24 + 5*i**3\/3 - 3*i**2 + 45. Let u(v) be the second derivative of s(v). Let y = 1 + -1. Give u(y).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -27 + 32. Let h be (-2)\/3 - 2\/(-3). Solve 2*w - 5*i - a = h, 2*i = -2*w - w + 17 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6? (a) 0.3 (b) -0.9 (c) 0.202 (d) 22\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12000012111102022 + 100?\nAnswer: 12000012111102122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 128*x = -264*x + 3920 for x.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 40*a - 49*a + 29*a in the form k + j*a and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 + 8 = 4*g. Let q be 206 - (g + 2)*0. Suppose 2*w + 5*v - 105 = 2*v, 2*v - q = -4*w. What is the highest common divisor of 102 and w?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 250 = -127*c + 152*c. Solve -c*z + 5*z + 30 = -5*p, 2*z = 4*p + 20 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 597 minutes before 10:11 PM?\nAnswer: 12:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 973 is divided by 299?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -14, -32, -68, -128, -218, -344, -512?\nAnswer: -728","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence acca when four letters picked without replacement from coooooddoddacooa?\nAnswer: 1\/10920","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/(-37) + 14\/259. Factor b - 4*d - 4\/3*d**2.\nAnswer: -4*d*(d + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 622488217 and 65?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1552633807 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 7283 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -188701*j**2 - j. Let l(i) = 43*i. Give w(l(o)).\nAnswer: -348908149*o**2 - 43*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -9*d**3 - 2*d**2 + 2*d - 8. Give t(-3).\nAnswer: 211","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10222340042 - -3?\nAnswer: 10222340100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 4*c - 3)*(6 - 4 + 3) + (4 - 1 - 4)*(2 - 2 - 2*c).\nAnswer: 22*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -u + 7. Let w be x(5). Suppose 5*m + 2*s = 16 + 3, -s = w*m - 8. Suppose -3*j + 25 - 7 = 0. Calculate the remainder when j is divided by m.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - x + 4*s = -26, -12 = 4*x + 5*s. Suppose x*r = 3*r. Let v be 1*(8 - 3)*(110 - 109). Solve r = v*z + 2*b + 18 + 6, -5*z = 5*b + 30 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the third derivative of 0*a**3 + 1\/720*a**6 + 0 + 7\/120*a**5 + 1\/24*a**4 + 0*a - 4*a**2. Let c(l) be the second derivative of p(l). Give c(-6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*m - 24*m + 80 = 0. Suppose 3*n = 4*y - 2 + 24, 5*n = 4*y + 26. Suppose 0 = -2*g - m, n*s - 3*s + 3*g + 65 = 0. What are the prime factors of s?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + -2 + sqrt(405) + 2 + 2.\nAnswer: 5 + 9*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:51 PM and 5:46 AM?\nAnswer: 595","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - d = p - 7, 2*d + 4*p = 4. Is 9 a factor of (d\/(48\/114))\/(2\/20)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -898 - -902. Which is the closest to -2\/5? (a) 59 (b) y (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -29*b**2 + 2*b**3 - b - b**3 + 14*b**4 + 31*b**2 to the form n*b + p*b**4 + a + i*b**3 + w*b**2 and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 55*r - 53. Let h be q(1). Calculate the remainder when 257 is divided by (h + -25 + 2)*2\/(-6).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2 and -11.9.\nAnswer: -23.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*f**3 - f**4 - 4*f**3 - 4942 + 2*f + 4942 to a*f**3 + q*f + z*f**2 + j + u*f**4 and give a.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 14\/9 of a hour?\nAnswer: 5600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-23 - -20) + 7 + 1. Suppose -5*v + w*z = -3450, v - 2748 = -3*v + z. Does 24 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 656198 or 656201?\nAnswer: 656201","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 29 + -19. Solve 0 = -5*i + a, 5*s = -i - 3 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 35 + 121*l + 115*l - 239*l - l + 3*l - 4*l + (l - 2 + 2)*(5 - 4 + 0).\nAnswer: -4*l + 35","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -338.22 rounded to the nearest 100?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) be the third derivative of -3657*c**5\/20 + 2*c**4\/3 + 8*c**3\/3 + 2*c**2. Let n be i(-12). What is n rounded to the nearest one hundred thousand?\nAnswer: -1600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1280 by -20.\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-2\/43))**(-2\/9)\/(g**34*g**(-3)\/g))**(1\/16) assuming g is positive.\nAnswer: g**(-5803\/3096)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -234*u**2 + 504*u**2 - 7*u**3 - 12*u**3 - 250*u**2 - 10*u**3 as w*u + x*u**3 + j*u**2 + q and give x.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 22*w - 1)*(-1 + w + 1)*(-3 + 4 - 2).\nAnswer: 22*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*i - 857747 - 2344789 - 886281. Is i 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 966 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/6, 243, 11\/3?\nAnswer: 243","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -2*t**2 - 3*t. Let d be g(-2). Let r be (3\/d)\/(1\/(-2)). Solve 0 = w - r*h + 2 - 8, 3*w - 2 = h for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 13*i**2 + 3. Let j(r) = -9*r**2 - 2. Let u(g) = -6*g + 16. Let q be u(4). Let f(s) = q*j(s) - 5*n(s). Determine f(-1).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the second derivative of 0*u**6 + 4*u**4 + 0*u**5 + 0*u**7 + 0*u**2 - 12*u + 0 + 5\/14*u**8 + 0*u**3. What is the third derivative of c(z) wrt z?\nAnswer: 2400*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*h*l**3 + 3*h*l**2 + 39283637*h*l + 5546978*l**3 wrt l.\nAnswer: 12*h*l + 6*h + 33281868*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqfqbqmfqjqbfqjfjbm. What is prob of sequence fjq?\nAnswer: 14\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -13, -0.3, -118\/9, 1021, 1 in increasing order.\nAnswer: -118\/9, -13, -0.3, 1, 1021","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 320 and 17050.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) be the third derivative of d**6\/12 + 7*d**5\/60 + d**4\/8 - d**3\/6 - 10*d**2. Let s be t(-5). Let x = s + 1536. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ff when two letters picked without replacement from {k: 1, u: 1, s: 1, f: 3, r: 3, d: 2}?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 86142107 to the power of 1\/7, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -120226653*m**4 + 45*m**2 + 194357.\nAnswer: -2885439672*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 43 - 27. Suppose -2*u - 2*u - 1 = 3*r, -5*u - r - 4 = 0. Let g = u + 3. Solve 0 = 2*i + g*i - s for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 - -0.00178968995?\nAnswer: 0.20178968995","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Total of -25281 and 85.34356.\nAnswer: -25195.65644","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*i = -2*i - 930. Let g = i + -180. Solve -g = 5*s - 1 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 178896.9 rounded to the nearest 100?\nAnswer: 178900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 5*p = 15, -3*c - 2*p - 15 = -8*c. Suppose 116 = c*o + o. What are the prime factors of o?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00005578352 to 7 dps.\nAnswer: -0.0000558","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 595 minutes before 1:40 PM?\nAnswer: 3:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -3*j**2 - 12*j - 9. Let f(q) = -2*q**2 - 11*q - 9. Let r(p) = 4*f(p) - 3*o(p). Let a be r(8). Let x be 6\/(-4)*60\/a. Solve 2*t - x = -0*t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0\/(-5)*(90\/(-12) + 7)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = -d - 6, 0*d + 13 = -2*d - s. Let v(x) = x**3 + 8*x**2 - 1. Does 12 divide v(d)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 68*c - 70*c = 10 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l when two letters picked without replacement from {c: 6, j: 1, l: 2, s: 2, v: 1}.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 6*(-4)\/(-24) - -590. Let o = -1086 + s. Round o to the nearest one hundred.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -736 + 747. Solve 3*j + 17 = -z, 0 = -2*j - z - 2 - m for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -b**4 - b**3 + b**2 + b - 1. Let l(a) = 5*a**4 + 6*a**3 - 4*a**2 - 6*a + 1. Let j(c) = -l(c) - 2*o(c). What is n in j(n) = 0?\nAnswer: -1, -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1 - -1. Suppose o = -3*k + 2*k + 100. What is the lowest common multiple of k\/6 - 4\/6 and 2?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 1043*d**3 + d**2 - 23*d - 5. Let b be a(15). Round b to the nearest one hundred thousand.\nAnswer: 3500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 737309 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -10 - -9. Let h be (p + 5)*(-32)\/(-16). Let x = 5 + -3. Solve 0 = 5*o - x - h for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -s**2 - s + 50. Let f be r(-7). Suppose -7*p - f*p + 45 = 0. What is the least common multiple of ((-4)\/3)\/((-5)\/90) and p?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + -6 + 1 + 2*(-570)\/19.\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the first derivative of 17*b**6\/3 + 6*b**3 + 20. Find the third derivative of g(f) wrt f.\nAnswer: 2040*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-747 - 104 - 68)*(-m - m + 4*m).\nAnswer: -1838*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 231624272 to the power of 1\/3, to the nearest integer?\nAnswer: 614","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-11)\/(-11)*4\/28.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (5\/(-285))\/((-17)\/(-272)*8*-2)\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3004 (base 15) to base 9.\nAnswer: 14804","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -200022065*a**2 + 229573338*a wrt a.\nAnswer: -400044130","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12)\/14*35\/(-75)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qybeqybyqyeyybpbq. Give prob of sequence by.\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -6b6bb0 - 9?\nAnswer: -6b6bb9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 550740000 rounded to the nearest one million?\nAnswer: 551000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 71\/141 and 63\/2.\nAnswer: 282","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1 + 4. Let a(k) = -x - 3*k - 2 + 7. Let f(g) = 3*g + 2*g - 3*g. Calculate a(f(u)).\nAnswer: -6*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.124 != -1023976?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m + 3*m - 54 = 0. Let v(q) = -2*q**3 + 16*q**2 - 12*q - 12. Let l = -929 - -936. Let a be v(l). Calculate the greatest common factor of m and a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = -2*p - 6, -2*p - 4*k = -3*k + 9. Let j(q) = q. Let g be j(p). Let v = 33 + -25. What is the nearest to 0.1 in g, -1, v?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 226 a factor of 1359620746?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 27187691 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -98*i + 2208 = -380*i - 86*i for i.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1364 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1460 and 119811688?\nAnswer: 292","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -2*z + 88. Let g be j(29). Solve 2*m = h - 5, -4*m - 5*h - g = -3*m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q + 45*q - 3*a + 130 = 0, 5*q = -a - 30 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*b + 15*b + t = 2636, 5260 = 4*b + 5*t. What is the units digit of b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 174988766*l**4 + 18428513*l**2 + 7*l?\nAnswer: 4199730384*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 4*c + 34. Calculate o(-9).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3080?\nAnswer: 2, 5, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 258, 511, 762, 1011?\nAnswer: 1258","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - 52\/22 - ((-6)\/21)\/((-1507)\/(-959))?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16252274.\nAnswer: 2, 8126137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 + 28*y + 46*y + 1)*(-217 - 95 + 867).\nAnswer: 41070*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 9259, 36903, 82965, 147445?\n\"Answer: 9209*v**2 + 17*v + 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -24 (base 12) to base 7\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 279 divided by -93\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-1309)\/154*8\/(-34)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -144046431942597 + 144046443816337.86399943. Let s = 11873741 - i. Let l = 0.136 - s. What is l rounded to 7 decimal places?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 54 a factor of 4374?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 2, 6, 22, -459, 0 in decreasing order.\nAnswer: 22, 6, 2, 0, -1, -459","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 + 2)*(-i + 2*i + i)*(-2 + 0 + 10 - 2 - 1 + 2 + (2 - 5 + 2)*(-3 + 1 + 4) + 2 - 2 - 1 - 2 - 47 + 0) + (2 + 0 + 0)*(5 - 5 + i) + i + 1 - 1.\nAnswer: -87*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 21479 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-2)*d)**(2\/49)\/(d\/d**(-1\/25))**(1\/22))**2 assuming d is positive.\nAnswer: d**(-2374\/13475)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 252 divided by -63\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 27 - 18. Let m be -3 + (r\/3 - 0). Suppose m*h = -2*h + 94. What are the prime factors of h?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -326676465\/1016 + 321532. Calculate the common denominator of t and -69\/16.\nAnswer: 2032","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -266*l + 2852 = 1668 - 3604 for l.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 102761 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (sqrt(14)\/(3*sqrt(22)\/sqrt(11) - sqrt(2)) + -2 - (-4 + 6*sqrt(112) + 0)))**2.\nAnswer: -282*sqrt(7) + 15607\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 150760191.9222124 + -150760124. Let u = n + 0.0358876. Let l = u - 68. What is l rounded to 3 dps?\nAnswer: -0.042","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4\/10 + 14\/(-35). Suppose -s + 4 = -n*s. What are the prime factors of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 9.8 + -5.4. Let h = u - 3.4. Sort h, 2\/13, 3, 4 in increasing order.\nAnswer: 2\/13, h, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 273846329?\nAnswer: 3469, 78941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 15741200 a multiple of 116?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is t in 2*t**4\/11 - 280*t**3\/11 - 51036*t**2\/11 - 101224*t\/11 - 50470\/11 = 0?\nAnswer: -103, -1, 245","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4 - 7. Let x be 5\/(30\/(-12))*1\/2. What is the smallest value in d, x, -1\/4?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 854 and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 2, o: 7}. Give prob of picking 2 b.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8076 + 5956 = -14*y + 20672. Is 38 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/78617 or 1?\nAnswer: 2\/78617","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rr when two letters picked without replacement from {r: 4}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1506439 divided by -1.\nAnswer: 1506439","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 150 - -1105?\nAnswer: 1255","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 232892732 and 1552.\nAnswer: 388","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 4*m + 1055 = 0, 0*n + 633 = -3*n - 2*m. Let u = 360 + n. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nh when two letters picked without replacement from {d: 10, h: 4, q: 1, n: 2, x: 2}.\nAnswer: 4\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 1, y: 2, a: 1}. Give prob of sequence yvy.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 669 - -1412?\nAnswer: 2081","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:08 PM and 5:03 AM?\nAnswer: 595","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -87427749 to the nearest 1000000.\nAnswer: -87000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1840 + 1845. Solve 5*x - 23 = 7*i - s*i, 0 = x - 3*i - 15 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -20531 + 20531 + 1093*r + (1 + 0 - 2)*(1 - 2*r - 1).\nAnswer: 1095*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:51 AM and 2:28 PM?\nAnswer: 697","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 8255054435 to the power of 1\/2, to the nearest integer?\nAnswer: 90857","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*f - 26*f + 24*f - 27*f.\nAnswer: -9*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 668, 660, 654, 650?\nAnswer: 648","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:02 PM and 7:12 PM?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 17320, 34640, 51966, 69298, 86636, 103980?\nAnswer: 121330","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3, -2, -778\/5, -0.58?\nAnswer: -0.58","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 4*k**2 - 50*k - 5. What is g(15)?\nAnswer: 145","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.0221 + 0.7221. Let a = 4.5 - -0.5. What is the second smallest value in -3, a, -4, x?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -15*t**2 + 9*t + 9. Let o(p) = -7*p**2 + 4*p + 4. Let y(l) = -6*b(l) + 13*o(l). Let c be y(-2). Put 0, c, 3 in descending order.\nAnswer: 3, 0, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1534933 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2770299*l**4 - 19494686*l**2?\nAnswer: 66487176*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 1020112 (base 3) to base 13\nAnswer: 548","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -206, 50, 13 in decreasing order.\nAnswer: 50, 13, -206","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*c**5 - 128*c**4 + 1432*c**3 - 6368*c**2 + 8932*c - 3872 = 0. Calculate c.\nAnswer: 1, 8, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*n = 520 + 404. Let l(f) = f - n + 47 + f**2 + 0*f. Let q(z) = z**2 + z + 1. Calculate l(j) - 3*q(j).\nAnswer: -2*j**2 - 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4802.005653 + -4802. Round x to three decimal places.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -28*f**2*v**2 + 4*f*v**3 - 89*v**3 - 10 wrt f.\nAnswer: -56*f*v**2 + 4*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-14 - -26 - (0 + 6)) + -6.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -u**2 + 349. Determine g(-18).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 8960 and 144249280?\nAnswer: 2240","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/2 (b) 0.4 (c) -917527\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -20*a - a - 2*a. Let o be 1\/((-1 - (-24)\/22)\/1). Let f(y) = o*y + 9*y - 33*y + 12*y. Determine r(f(v)).\nAnswer: 23*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -3 + 3 - 4*d. Let s = 77 - 76. Let i(r) = -5*r**2 + 3*r - 3. Let p(u) = -u**2 + u - 1. Let w(g) = s*i(g) - 3*p(g). Calculate w(f(v)).\nAnswer: -32*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = b - 20. Let g(z) = -z. Let s be g(-3). Sort b, -2, s in increasing order.\nAnswer: -2, s, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 72 - -17. Does 27 divide (-5)\/(-15) - j\/(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d**(-1\/6)*d)\/d*d*d*(((d\/(((d*d**6)\/d)\/d))\/d)\/d)\/d)**(7\/4) assuming d is positive.\nAnswer: d**(-175\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*v - 4*f = -19*v + 532, -3*f = -4*v + 1044. What is the hundreds digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -46298849, -46298835, -46298821, -46298807, -46298793, -46298779?\n\"Answer: 14*a - 46298863","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (36\/14)\/(24\/64). Let d = 418\/63 - c. Do d and 5\/3 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = -4*w + 327263, -4*w - 35*y = -30*y - 327273. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the first derivative of 7179*d**4\/2 + 5955*d**2\/2 - 466. What is the second derivative of y(x) wrt x?\nAnswer: 86148*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 13*f = 90. Suppose 13*y + 16 = f*y. Let a be (-46)\/(-2) + -3 + 0\/y. Calculate the greatest common factor of a and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 3*l**2 + 49*l + 17. Let w be o(-16). Is -2\/663 < w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1272573.53 rounded to the nearest one thousand?\nAnswer: -1273000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 258 is divided by 20.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is l in 4*l**4\/7 - 36*l**3\/7 - 12*l**2 - 44*l\/7 = 0?\nAnswer: -1, 0, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -s + 4. Let p(z) = -z + 3. Give 6*a(t) - 7*p(t).\nAnswer: t + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 82 = -n. Let a = n - -11. List the prime factors of a.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k + 30 = f + 14, f + 5*k = -32 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 10 = 2*v, 2*g - 4*v = -2 - 8. Suppose g*l + 6 = 4*j, 1 = -j + 5. Suppose -2*f - l = -0, -y + 52 = 2*f. Is y a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -252\/19021?\nAnswer: -252\/19021","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 30 + -14. Determine x, given that -20*x + 4*x**2 + 0*x + 4 - 4*x + m = 0.\nAnswer: 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 712339.8 to the nearest 10000.\nAnswer: 710000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3518584065.\nAnswer: 3, 5, 19, 29, 141907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 120002021012 (base 3) to base 9.\nAnswer: 502235","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 103*p - 14*p = 801 for p.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-2\/11)\/j*j**(-2)*j*(j**(1\/4))**28)**(-5) assuming j is positive.\nAnswer: j**(-265\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of o*q**2 - o + 86166*q**2 - 7959437 wrt q.\nAnswer: 2*o*q + 172332*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:09 PM and 8:18 AM?\nAnswer: 549","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1.412 and 11637?\nAnswer: 11638.412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.02 (b) -2.9 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x**3 + 7*x**2 + 7*x - 3. Let j be l(-5). Suppose 91*v - 85*v = -j. Let r(p) = -p**3 - 4*p**2 - 2*p - 3. What is r(v)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2700\/(-750))\/(3\/5).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8 - 4. Suppose -d - 6 = 5*w, x*d - 39 = 4*w - 3*w. Suppose -100 = -d*g + 4*g. Does 20 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -x - 2. Let h be c(-11). Let m(v) = -v**3 + 10*v**2 - 7*v + 2. Let o be m(h). Calculate the greatest common factor of 10 and o.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -19\/930 and 53\/52545.\nAnswer: 105090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -p**3 - 3*p**2 + 2*p - 3. Let x be t(-4). Let h = 13 - x. What is the lowest common multiple of h and 14?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -476 by 4.\nAnswer: -119","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 36 divided by -24748.\nAnswer: -9\/6187","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the second derivative of -3\/2*d**3 + 0 + 1\/12*d**4 - 7\/2*d**2 - 10*d. Let f be y(10). Solve -4 = -s - f*s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 4*a + 2. Let c be q(2). Let y = c + -16. Let u be 1 + y + 1 + 0. Put -2, u, -1 in decreasing order.\nAnswer: -1, -2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.299474 minutes to milliseconds.\nAnswer: 557968.44","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8 + (-2348)\/(-20)*145?\nAnswer: 3, 7, 811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 8, g: 2, n: 2}. What is prob of picking 2 n?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 9.09 - -105.21. What is i rounded to the nearest integer?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6 + -6.08. Let z = 5169 - 5168.91983. Let v = l + z. Round v to four decimal places.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-23)\/(138\/36) - (-1836)\/2. Calculate the highest common divisor of 144 and k.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 576 and 60.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 219153.6223 rounded to the nearest ten?\nAnswer: 219150","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Do -512919683 and -512919684 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1)\/(((-1)\/374)\/(115\/230)). Solve 12*o - s = -271 for o.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -c**2 - 8*c - 5. Let m be o(-7). Let r = m + 22. What are the prime factors of r?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (2\/1)\/((-17)\/34). Let i(a) = 9*a**2 - 4*a - 2. Let d(c) = 8*c**2 - 3*c - 1. Calculate x*d(l) + 3*i(l).\nAnswer: -5*l**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.322087766 to 3 dps.\nAnswer: -0.322","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 482932?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q**2)\/q**(-7)*(q*q*(((q\/(q*q\/(q**(1\/3)*q)*q))\/q)\/q)\/q*q)\/q*q*q*q**3*(q\/q**(-2\/19))\/(q**2\/q)*(q*q*q*q**(-1)*q)**(-2\/63) assuming q is positive.\nAnswer: q**(5324\/399)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + 22 + (-28 - -88 - -23)?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 193 a factor of 113525302?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 276382 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: What is prob of picking 1 d, 2 v, and 1 o when four letters picked without replacement from {i: 4, v: 2, d: 1, o: 1}?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 468 = 8*z - 436. List the prime factors of z.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 4*a - 16. Let d(n) = n - 3. Let m(u) = 16*d(u) - 3*r(u). Let k(i) = 8*i + i - 10*i. What is k(m(w))?\nAnswer: -4*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = t**2 + 2*t + 2. Let d be r(-3). Suppose d*g - 1 = -11. What is the units digit of g*(-2 + (-1)\/2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -278*r - 834. Let t be u(-3). What is the nearest to 2\/5 in -3, t, 1, 16\/7?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -14*v**4 + 696*v**3 - 1122*v**2 + 412*v - 4. Let h(q) = 13*q**4 - 696*q**3 + 1115*q**2 - 411*q + 3. Let d(x) = 4*h(x) + 3*z(x). Solve d(r) = 0 for r.\nAnswer: 0, 3\/5, 1, 68","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 152028719 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*3*(sqrt(11) + (sqrt(11) - (sqrt(396) + 2))).\nAnswer: 30 + 60*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 0.4432, 2\/47 in increasing order.\nAnswer: -3, 2\/47, 0.4432","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -179 + 2325\/13. What is the closest to 1 in 0, 0.3, s?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -9*z**2 - 6*z + 9. Let k(m) = -8*m**2 - 5*m + 8. Suppose 18*t + 5 = 19*t. Let d(h) = t*g(h) - 6*k(h). Solve d(n) = 0 for n.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 2*d**2 + 3*d - 2. Let j(u) = 3*u**2 + 5*u - 3. Let x(f) = 8*f - 5 + 3 + f**2 + 0. Let c be x(-9). What is c*i(r) - 4*j(r)?\nAnswer: 2*r**2 + r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -22\/177 and 46\/55161.\nAnswer: 3254499","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 36 + -32. Suppose -2*u + 16 = -2*y, 3*y + 7*u - h*u - 6 = 0. Let g be -3 + ((-3 - -7) + 0 - y). Solve z - 17 = -g*p, 2*p + z = -0*p + 7 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2 + -5. Let o = p + 5. Suppose -2*g + g = 0, o*y = -5*g + 4600. What is y rounded to the nearest 1000?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = k**3 + 14*k**2 - 2*k - 2. Let a(i) = -i**3 - i**2 + 1. Let x(h) = 6*a(h) + o(h). Let t be x(6). Round t to the nearest 100.\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2177697078 a multiple of 225?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -12, 8184, -4 in increasing order.\nAnswer: -12, -4, 8184","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8287?\nAnswer: 8287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) be the third derivative of -c**7\/5040 - c**6\/72 + 7*c**5\/60 + 13*c**4\/24 - 223*c**2. Let h(p) be the third derivative of k(p). Determine h(-10).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bf when two letters picked without replacement from bfffeefbb.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 688\/447 - -19\/149. What is the closest to -60 in k, 0, 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = k**3 + 24*k**2 + 20*k + 7. What is the remainder when o(-23) is divided by 20?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 0, -1056, 285 in increasing order.\nAnswer: -1056, 0, 3, 285","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1781?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -0.03, -0.1, -1.2 in decreasing order.\nAnswer: 3, -0.03, -0.1, -1.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5991286087?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18754.\nAnswer: 2, 9377","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -17\/15 and -69\/11720.\nAnswer: 35160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 30*g - 14*g - 0*g - 64 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -l**3 - 15*l**2 - 47*l - 12. Let k be m(-10). Which is smaller: -40 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6 + 2 - -2) + (0 - -4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 12*g**3*u**3 - 10*g**3*u + 6*g**2*u - 6*g*u**5 wrt u.\nAnswer: 72*g**3*u - 120*g*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 25312960 to the nearest one hundred thousand.\nAnswer: 25300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -10266, -40467, -90604, -160677, -250686, -360631?\n\"Answer: -9968*p**2 - 297*p - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 242995227?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = l**2 - 1 + 0*l**2 + 2*l**2 + l - 9*l**3. Let k = -610 - -609. Let u be c(k). Sort 4, -4, u in decreasing order.\nAnswer: u, 4, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 571599.\nAnswer: 3, 7, 43, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((56\/(-7))\/16)\/((-4)\/(-2)).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.708321 rounded to one decimal place?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -2*s + 34. Let o be k(16). Suppose -4*t + m + 174 = 0, -o*t + 5*m + 27 = -69. What is the tens digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 7 = 5. Let m be (90\/(-27))\/((-2)\/3). Find the third derivative of -8*f**k + 0*f**2 + 0*f**5 + 0*f**m - 2*f**5 wrt f.\nAnswer: -120*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 386708961*u**2 + 6*u + 10. Let k be c(8). Let x = 397227445496213\/16050 - k. Let n = -2\/2675 - x. What is the common denominator of n and 53\/12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -132.5 + 101. Let m = -30 - y. Let j = 1.01 - m. Round j to one dp.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k + 10*k + 56 = 0 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, r: 6, n: 2, m: 2}. Give prob of picking 1 r and 1 m.\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.3995482 to 3 decimal places.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*f + 348 = -1332. Let j = f - 233. Solve -j*n = -2*n - 5 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*f = 26 + 16. Let h(r) = 3*r**3 + 2*r**2 - 2*r. Let i(t) be the first derivative of -5*t**4\/2 - 7*t**3\/3 + 7*t**2\/2 - 2. Calculate f*i(s) + 7*h(s).\nAnswer: s**3","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Let h = -404.0466 - -404. What is h rounded to two dps?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-17)\/((-17)\/(-6)))\/(3\/(-262)). Let z = 492 - c. Suppose 0*x - 160 = 5*x. Is z at most x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.03*-15.893.\nAnswer: -0.47679","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**2)**(7\/2)*i**9*i**(4\/3) assuming i is positive.\nAnswer: i**(52\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 42018 - 21580. What are the prime factors of x?\nAnswer: 2, 11, 929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1\/(28\/10 - 3). Let i(l) = l**2 + 5*l + 4. Let n be i(a). Suppose -2*r = -r - 3. Solve 0 = -s - r*s + n for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 12965 + -12881. Suppose 3*z - 4*i = -14 + 296, -5*z + 496 = 2*i. Let g = d - z. Sort g, 3, -5 in descending order.\nAnswer: 3, -5, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -427*l = 601*l + 203924 - 67200 for l.\nAnswer: -133","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) be the first derivative of f**5\/110 - f**4\/33 - f**3\/33 + 2*f**2\/11 + 6*f + 3. Let p(y) be the first derivative of w(y). Factor p(u).\nAnswer: 2*(u - 2)*(u - 1)*(u + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -26 + -13. Suppose 2 = -4*h - 6, -b + h - 16 = 0. Let k be a\/b - (-2)\/(-1). What is the closest to 4 in -2, k, 0?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2.08 + -3.08. Let x = 2.9 - 2.7. Sort x, y, 1.8, 1\/2 in ascending order.\nAnswer: y, x, 1\/2, 1.8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -303 (base 12) to base 3\nAnswer: -121010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 4*a**3 - 11*a**3 + 1.\nAnswer: -7*a**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1639.\nAnswer: 11, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12532*p - 2139 = -12601*p for p.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + -11 - -18 - 2?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3 or 11618?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 295*d - 8259. Let m be t(28). Let u be 1\/(1 - (1 - 2)). Which is the nearest to 6? (a) u (b) m (c) 0.08\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -136*l = 18*l - 308 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1327 + 54?\nAnswer: 1380","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 2*v. Let s(f) = 0 - 1 + 32*f - 22*f. Calculate s(k(q)).\nAnswer: 20*q - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*t + 2*j - 12, j = 5*t - 2*t - 5. Solve -5 = -x - t for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = -2, -7 - 38 = -5*h - 5*u. Suppose h*w = -0*w + 4445. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10352 = -4*m + 3*o, 2*o + 3736 = 4*m - 6624. What is the tens digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-104)\/780)\/((-12)\/(-2))\nAnswer: -1\/45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by -146038792.\nAnswer: 1\/36509698","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.5 and 292487?\nAnswer: 146243.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*a + 4*a + a)*(0*a + 0*a - 2*a**2) + (3*a**2 - 5*a**2 + a**2)*(-6*a + 2*a - 3*a) to the form r*a**3 + g*a**2 + y + z*a and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 96303 to the power of 1\/2, to the nearest integer?\nAnswer: 310","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -16985.141 * 0.4\nAnswer: -6794.0564","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*b**2 + 965 - 9*b**2 - 968.\nAnswer: -20*b**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -64*m**2 + 33*m**2 + 33*m + 30*m**2 + 0*m + 0*m - m**2 + (2*m - 1 + 1)*(-2*m - 3*m + 3*m).\nAnswer: -6*m**2 + 33*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*l + 12524 + 2836. Is 64 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -97, -183, -273, -367, -465?\nAnswer: -567","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -300021 + 18?\nAnswer: -300006","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1909, -3810, -5701, -7582?\nAnswer: -9453","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 345.67269 to the nearest 10.\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -127 = -3*k + j, j + 49 = 4*k - 122. Suppose 29*l + 8 = 30*l. Let b be (-10)\/l*-4 + 61. What is the greatest common divisor of k and b?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -9*x + 3*x + 3*x + 1 + 4*x. Give t(-4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3832 - 3811. What is the lowest common multiple of 80 and c?\nAnswer: 1680","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -101311020020 (base 4) in base 10?\nAnswer: -4674056","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*a - 5*s + 50, -4*a + 0*a = -3*s - 68. Let q be (1311\/(-4))\/(a\/(-56)). Suppose -5*v = -2*v - q. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(21) + sqrt(525) + sqrt(21))*2)\/sqrt(3).\nAnswer: 14*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 42098 + -42098. Solve -193*g + 212*g = t for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -308.7 * 228.263\nAnswer: -70464.7881","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-12)\/(-40))\/(42\/(-175))?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 6*t + 18. Determine a(-4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5 + -3. Suppose -a*x = 1 - 13. What is the units digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 422499?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 405 minutes before 6:55 PM?\nAnswer: 12:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -82, -71, -44, 5, 82, 193, 344?\n\"Answer: w**3 + 2*w**2 - 2*w - 83","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -19*s + 170. Let b be f(9). Suppose 5*q + 8 = -4*g + 41, -2*q = 2*g - 14. Suppose 2*u = -w - 9, 3*w + u - g = -4. Sort 3, b, w in decreasing order.\nAnswer: 3, w, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let k = -1382.002 - -1382. Which is the closest to k? (a) 0 (b) 0.2 (c) -5 (d) 2\/21\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28\/(-98)*(-5)\/140*-14.\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 1565, 1605, 1663, 1733, 1809?\n\"Answer: -c**3 + 15*c**2 + 2*c + 1549","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -202635 + 78241 = -37*y. List the prime factors of y.\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -1713236, -3426513, -5139788, -6853061, -8566332, -10279601?\n\"Answer: g**2 - 1713280*g + 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -u**2 + 3*u - 5. Suppose 2*k = -2*k. Let n(i) = 1 + 3 + 0*i + i. Let t be n(k). Determine x(t).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -101 (base 3) in base 2?\nAnswer: -1010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = h, -9*n - 3*h = -4*n - 11 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 213*j - 211*j = 1354. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1388, 1099, 912, 1067, 1804, 3363, 5984?\nAnswer: 9907","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2249191?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 2 - 2)*(-2 + 6 - 1)*(3*t**3 + 2*t**3 + t**3).\nAnswer: 36*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 60, 114, 168, 222?\n\"Answer: 54*q + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(-3*(-1*sqrt(228) - sqrt(228)) + sqrt(228) - sqrt(228) - sqrt(228) - sqrt(228)))\/(((sqrt(12) + sqrt(300))*-5 + sqrt(12))*4).\nAnswer: 5*sqrt(19)\/29","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -476 + 472. Which is the nearest to 2\/3? (a) -0.3 (b) k (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -17*y**3 + 230*y**2 + 7*y + 11. What is the units digit of c(8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60 = 80*c - 85*c - 2*n, -4*n = 2*c - 40. Solve 6*l = -c*l + 3*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = 3*u - 24. Suppose 27*w = u*w + 144. List the prime factors of w.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13802 is divided by 117.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:39 PM and 1:06 AM?\nAnswer: 507","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 25515, 25512, 25509, 25506?\nAnswer: 25503","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5 - 5 - 1)*(-2*r - 4*r + 31*r)*(1 - 2 + 4) to the form x + b*r and give b.\nAnswer: -75","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = u - 12. Calculate p(21).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/5, 5, -1808?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -4 + 1 + 2*(-6 + 10). Solve 18 + 7 = -v*m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 12580, 51617, 117102, 209029, 327392, 472185, 643402?\n\"Answer: -i**3 + 13230*i**2 - 646*i - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/3 (b) -3 (c) -1750 (d) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2101761686?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -15291*x + 137621. What is g(9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c*c\/(c*c\/c**(-6)*c*c)*c**(-2\/9)*(c*(c*c\/(c*c**0))\/c)\/c**0 assuming c is positive.\nAnswer: c**(-65\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u**0*u)**9\/(u**(-4)\/u*u*u*u)**(15\/8) assuming u is positive.\nAnswer: u**(87\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*g = 15*g + 648. Let h = g - -109. What is the second smallest value in 3, 3\/4, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -8*r - 4. Is y(-4) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.0123 and -88.7?\nAnswer: -1.09101","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -11, 56647, 2, -5 in increasing order.\nAnswer: -11, -5, -1, 2, 56647","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3 + 9. Suppose 4*j + 6 = -r. What is the units digit of 1\/j - (-28)\/12?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((sqrt(16)\/(sqrt(56)\/sqrt(7)) + (4*-2*sqrt(2) - sqrt(2)))**2 + -2*sqrt(242) + sqrt(2) + 2 + sqrt(2) + (sqrt(18) - sqrt(2))**2 + sqrt(2) + 0).\nAnswer: -19*sqrt(2) + 138","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 230778 + -692336\/3. Let w be 2*(-6)\/4 - 0. Put y, -0.21, w in decreasing order.\nAnswer: -0.21, y, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 175481 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -192 + 219 + -1 + -26 + -119?\nAnswer: -119","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 10536\/(-154089) - ((-15)\/(-13) + -1)\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -52*b + 109. Let l be j(2). Put l, 15, -1, 1 in ascending order.\nAnswer: -1, 1, l, 15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/2 - (-9760)\/6080?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9264 divided by -772.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g, 1 m, and 1 c when three letters picked without replacement from cggsscucscmcscms.\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -507 + 808. Let z = -183 + n. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - -2 - -5)\/((-11 - (-8280)\/930) + 2).\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a litre in millilitres?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36 = 2*u - 2*m, u + 426 = -3*m + 484 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 120 minutes before 4:44 AM?\nAnswer: 2:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -z + 11 + 44. Calculate the common denominator of 53\/6 and (-6)\/z*185\/(-4).\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 32213 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*c**3 + 4*c**3 - 3*c**3 - 19*c**3 + 46*c**3 - 117*c**3 - 2*c + (-1 + 1 - 3*c**2)*(-2*c - 3 + 3).\nAnswer: -86*c**3 - 2*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*s**3 + 268 - 542 + 274.\nAnswer: 2*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0001203230399 to six decimal places.\nAnswer: 0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rsrnnnrjnnnrjjr. What is prob of sequence rj?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = 5*h + 18. What is the second smallest value in 0, -0.4, h, 5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(35) - (sqrt(1715)*2 + sqrt(1715) - sqrt(35)))\/(sqrt(625)\/sqrt(5)).\nAnswer: -19*sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 5\/20*0 + (-2)\/(-21). Which is the third biggest value? (a) o (b) 5 (c) -4 (d) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13869 minus 0.03?\nAnswer: 13868.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2676?\nAnswer: 2, 3, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1141*-11.9.\nAnswer: 13577.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (p**3 + 2*p**3 - 2*p**3)*(24 + 51 - 135 - 155) to the form s*p**2 + u + c*p**3 + j*p and give c.\nAnswer: -215","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(2904)*4*5)\/((2*sqrt(160) - sqrt(160))\/(1*sqrt(5)*6)).\nAnswer: -1320*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 9 and 56394?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 2*t**2. Let f(x) be the first derivative of x**4\/12 + 4*x - 3. Let v(s) be the first derivative of f(s). What is v(p(k))?\nAnswer: 4*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0\/((-6)\/3 + 1). Let b be (d - 1) + 13*(-5)\/(-75). What is the nearest to 1 in -5, -0.1, b?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1813452738?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5165 - -5167. Let t(j) be the second derivative of -1\/42*j**4 - 10*j + 0*j**q + 0 + 2\/21*j**3. Solve t(s) = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.587 take away 20177?\nAnswer: -20177.587","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-6\/11)\/m)**(-14) assuming m is positive.\nAnswer: m**(238\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.077817 litres to millilitres.\nAnswer: 6077.817","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -178*t + 8284. Give h(45).\nAnswer: 274","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 360*n + 870 - 129*n**4 + 30 + 125*n**4 - 40*n**3 - 64*n**2.\nAnswer: -4*(n - 3)*(n + 3)*(n + 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c**29\/c))**(3\/5)\/((c\/((c*(c\/c**33)\/c)\/c))\/c)**(2\/57) assuming c is positive.\nAnswer: c**(-1649\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49*o - 18 = -58*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 31*p - 27*p + 5*j + 419380, -2*j + 524192 = -5*p. What is p rounded to the nearest one thousand?\nAnswer: -105000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2608360 by -4.\nAnswer: 652090","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 128.454 rounded to the nearest integer?\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 72\/(-10) - 53\/(-265) - -74. Solve -2*r + 69 = b for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g**3 + 5*g**2 - g - 7. Let y be k(-5). Let o be -6*(y + (-44)\/(-21)). Let w = 10611 + -10612. Which is the nearest to 3? (a) w (b) -0.4 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2031720210 to the power of 1\/2, to the nearest integer?\nAnswer: 45075","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 12\/(-4) + 1345 - -8. Put y, -2, -4 in ascending order.\nAnswer: -4, -2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 292*p**2 + 12751*p - 12508783 wrt p?\nAnswer: 584*p + 12751","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c - 4*l = -12, -32*c + 27*c - 20 = -5*l for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4 + 108?\nAnswer: 10c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5682, -5716, -5744, -5766, -5782?\nAnswer: -5792","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -11351948 - -11351948.21699866. Let v = q + -0.217. Round v to 7 decimal places.\nAnswer: -0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 2, -1196, 2\/15, 0.02, 1\/4 in increasing order.\nAnswer: -1196, 0.02, 2\/15, 1\/4, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.887423 millennia to decades.\nAnswer: 188.7423","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 454808 and 55600?\nAnswer: 1112","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 11169943661 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 3 + 3 = 0. Suppose t*c + 15 = 3. Let n(x) = 5. Let p(z) = -z + 6. Let h(f) = c*n(f) + 5*p(f). Let b(r) = 2*r. What is h(b(u))?\nAnswer: -10*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 3283*14\nAnswer: 45962","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/h**(-5)*h**1)\/(h**(-3)\/h**(-1)))\/((h\/h**(-6))\/h**(4\/9))**(-50) assuming h is positive.\nAnswer: h**(3031\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 4*f - 19 = 0, 4*i - 3*f - 17 = 2*f. Suppose -4*c = -i*t + 204, 1 = 2*c + 7. Let s = t - 2. List the prime factors of s.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -782*m = -66745 + 55797 for m.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -f**5 + f**4 + f**3 - f**2 + f - 1. Let i(d) = 8*d**5 - 5*d**4 + 57*d**3 + 97*d**2 + 14*d + 21. Let t(q) = 4*i(q) + 68*r(q). Solve t(c) = 0.\nAnswer: -1, -1\/3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:59 AM and 9:04 AM?\nAnswer: 305","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 12*v - 180. Let i be f(15). Suppose -5*t - 2001843 - 9298157 = i. What is t rounded to the nearest one million?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the first derivative of 2*r**3\/3 + r**2\/2 - r - 3. Let i be h(1). Suppose -i*o + 5 = -7*o. Let a(x) = -3*x**3 + 2*x + 1. Determine a(o).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (200\/1125)\/(2\/(-5))?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 98 - 98. Let c = -3 - -7. Solve -c*d = -p*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -25*q - 1. Let c = 2762 + -2759. Give g(c).\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = -2*k + f - 2*f, -8 = 2*k + 2*f for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -4\/589 and 39\/2774.\nAnswer: 85994","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 37156364?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Let v = 374499964055.600002179 - 374499963866. Let x = v + -189.6. What is x rounded to seven dps?\nAnswer: 0.0000022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -462 = 303*c - 237*c for c.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -1 * 2.23\nAnswer: -2.23","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = t**3 + 14*t**2 + 18*t - 11. Does 41 divide i(-10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/7 + (-30)\/7. Let r be 36\/(-32)*l\/6. Let v = r - 23\/20. What is the closest to -1 in -1\/3, v, -1\/5?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 529934.\nAnswer: 2, 257, 1031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -0.01, 2, -400, -321, -3?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5360201090339 - -0.014.\nAnswer: -5360201090338.986","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = 3*a + 11. Solve a*u + 2 = 7 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -108 - -110. Let f(c) be the second derivative of -c**3\/6 - c**2\/2 + 2*c. Let m be f(-8). Solve v*j - m*j = 0 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c - 8 = 2*q, -2*q + 107*c = 108*c + 6 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -18*s**2 - s + 1. Let a be d(1). What is the common denominator of -1*2 - (-56)\/a and 428\/60 + (-1)\/3?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 + (-3)\/(-2)*((-18624)\/(-7488))\/(8\/28)?\nAnswer: 3\/52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 622381868?\nAnswer: 2, 8233, 18899","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1318 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 5275059199 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 16) to base 4.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 241375?\nAnswer: 5, 1931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 680 minutes after 12:20 PM?\nAnswer: 11:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -3*x + 4 - 4. Let m(l) be the second derivative of 11*l**4\/2 - 6*l + 245. What is m(g(n))?\nAnswer: 594*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.75 - 1.4463.\nAnswer: 0.3037","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tunnnuutuvtu. Give prob of picking 2 n.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8593231 + -8593168.00071. Let u = -63 + j. Round u to four dps.\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 216 and 108?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-8) - 1)\/(5 + -2).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 5*f**2*p**2*q + f**2*q - 2*f*p**2*q + 3*f*q + 3*p*q wrt p?\nAnswer: 10*f**2*p*q - 4*f*p*q + 3*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 9\/(-2)*80*-2. Let z = -27 - -32. Suppose 0 = -z*t - 0*t + k. What is t rounded to the nearest 10?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + (4 - (-11 - -7) - 6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the second derivative of -2*k**6\/5 - k**5\/20 - 63*k**2\/2 - 20*k. Differentiate f(a) wrt a.\nAnswer: -48*a**3 - 3*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-14 - -3) + -4 - (40 + -39)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + 1*(-2 + (-2*sqrt(128) - sqrt(128))) + (-5 + (-1 + sqrt(128))*6*1)**2.\nAnswer: -1080*sqrt(2) + 4727","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -80f (base 16) to base 13.\nAnswer: -c29","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4 and 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3737614?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5 + -6a?\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 30, -1\/4, -0.01?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 156728*b**2 - 116315*b wrt b?\nAnswer: 313456","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) be the second derivative of -n**4\/4 - n**3\/2 - n**2 - 64*n. What is q(-3)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -8175073*d. Let c(q) = 160*q. Determine c(z(m)).\nAnswer: -1308011680*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 3 (b) -7 (c) 0.0139 (d) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4427608 is divided by 4427606?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.78? (a) -6 (b) 3 (c) 1.41\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 17b25 - -4?\nAnswer: 17b29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 953587?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-i - 2*i**2 + i)*((-3*i + 3*i - 2*i)*(3*i**2 - 2*i**2 + 0*i**2) - 56*i**2 + 9*i**3 + 56*i**2).\nAnswer: -14*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-44 + 66 - 19) + (-1 - -3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -56*y**2 - 3*y - 7. Let t(q) = -29*q**2 - 2*q - 4. Let v(s) = -5*t(s) + 3*w(s). What is v(1)?\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 18 = 2. Let p be (-246)\/(-8) - (-1)\/4. Suppose 4*t - 5 = 5*d + 36, -3*d - p = -4*t. Solve t*x + 4*i - l*i = 13, i - 19 = -4*x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t*t**(-8))\/t*t\/((t*t\/t**(-2)*t)\/t))\/(t**3\/(t\/(t**(-9)\/t*t)))*((t**(-12\/11)\/t*t)\/(t\/t**(-4\/9)*t))**(-2\/17) assuming t is positive.\nAnswer: t**(-4349\/1683)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*w + 2*w + 7*w)*(0 + 9 - 2).\nAnswer: 28*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0338 times 4?\nAnswer: -0.1352","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 20 = i. Suppose 0 = -4*a + i. Suppose 5*q = -10, -a*q + 60 + 70 = 4*p. Calculate the highest common divisor of 7 and p.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(135)\/sqrt(5) + -5.\nAnswer: -5 + 3*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -97*h + 1324 = 83*h - 667 - 529 for h.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 43990 = -2*l, 3*t = -l + 21601 + 395. Is 32 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 227 divided by -12.\nAnswer: -227\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the third derivative of d**6\/30 - 3*d**5\/10 + 5*d**4\/6 - d**3 - d**2 - 77. Factor o(n).\nAnswer: 2*(n - 3)*(n - 1)*(2*n - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o - 35*m - 342 - 144 = 0, -5*o + 9 = -m for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = g - 8. Let l be y(20). Suppose 0 = -l*h - h + 650. Let i = h - -46. List the prime factors of i.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 8024075712 + 74.\nAnswer: 8024075786","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o**(3\/10)\/o*o*o*o\/((o*o\/(((o**(-4\/11)\/o)\/o)\/o*o)*o)\/o*o))\/((o*o\/(o*o**(-12)\/o))\/((o\/o**(-2))\/o)))**(-48) assuming o is positive.\nAnswer: o**(37128\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 36148 and 868.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-9)\/((-756)\/(-7)))\/((-11)\/(-176))*-21.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2\/7, -2, -0.2, 0.02, -3, 10.9?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -4\/15771327 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 74981574?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in 1\/5, 21, -0.5, -0.472?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-40)\/(-16)*(16\/(-12) + 2).\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 18, -2534, -5, -2\/13, -2\/7?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -6*b + 98. Let x be f(16). What are the prime factors of -158*(-1*1\/x)\/1?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -2*(2 - 6) - 0. Suppose u - v = -u. Let t be u*(1 - (-12)\/(-16)). Solve t = -2*j + 7 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -l**2 + 7*l + 4. Let z(g) = 2*g**2 - 16*g - 8. Let h(q) = 5*k(q) + 2*z(q). Give h(-3).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -3*o**2 - 29. Let r be w(0). Let s = 104 + r. What is the units digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0 + 2. Let y be (-10)\/(-45) - 70\/(-9). Suppose -g = g - y. Solve 0 = -3*c - 3*h, g*h = -c + w*h + 4 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 2*q, -2*d - d + 3*q = -30. Let r = 6 + -3. What is the remainder when d is divided by r?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m\/(m*m**(-1\/15))*m\/m**(-17) assuming m is positive.\nAnswer: m**(271\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -21 + -1. Let g = -20 - y. What is the units digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -17 + 51*a + 30*a - 106*a + 29*a - 3*a**2 as n*a**2 + w + d*a and give n.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + sqrt(300) + 3*(sqrt(300) + 2) - (sqrt(300) + sqrt(300) + 2 + 5 + 2*(sqrt(300) + 2)))*1)**2.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -9 + 3*d + 9 + (0 + 1 - 5)*(2*d + 1 - 1) + 7 - 7 + 3*d - 2*d + 1 - 1.\nAnswer: -4*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25 = 5*p - 2*b + 3*b, 2*b - 30 = -5*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + n - 17 = 0, 0*n = -3*x + n + 11. Factor -2*t**x - 2*t**3 - 3*t**3 + t**3 - 2*t**2.\nAnswer: -2*t**2*(t + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -o**2 - 31208*o - 47491 wrt o?\nAnswer: -2*o - 31208","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/55*-33*25\/(-15)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1667540150?\nAnswer: 2, 5, 33350803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*n - 49 = -175. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 1, h: 3, l: 1, e: 1, d: 1}. Give prob of sequence hhd.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the third derivative of -b**4\/24 + 2*b**3\/3 + 7*b**2. Let d(c) = -4*c + 18. Let n(y) = 4*d(y) - 18*u(y). Let t(z) = 151*z**2. Give n(t(m)).\nAnswer: 302*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6025580 by -98780.\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-9)\/(-15))\/(2\/(-2*85)). Is -50 smaller than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10819062, 21638123, 32457184, 43276245, 54095306, 64914367?\nAnswer: 75733428","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 39\/83 greater than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 89 and -629270.\nAnswer: -56005030","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*v + 6 - 6)*(1 - 1 + 2*v + (-3 + 0 + 5)*(2*v - 1 + 1) + (1 - 2 + 3)*(-2 + 2 + v) - 2*v + 0*v - 2*v).\nAnswer: -24*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 6*i**2 - 5*i + 5. Is r(2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 18*z + 2*z - 100. Let v(w) be the second derivative of -z*w - 1\/6*w**4 - 2\/3*w**3 - w**2 + 0. Find d, given that v(d) = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 313100102 (base 4) in base 12?\nAnswer: aab82","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = 7*t - 5*t - 15, -6 = -2*t + 2*v. Suppose r - 4*k = -9 - t, 3*k = -5*r + 24. Solve -4*q = 2*l + 26, -5*l - 2 = -r*l - 2*q for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 2*u**2. Let o(p) be the third derivative of -23*p**5\/60 - 24*p**2. Determine o(f(n)).\nAnswer: -92*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - s + 2 = p, -2*s = 3*p - 4. Solve p*d - 5*d = -20 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 49528, 49529, 49530, 49531, 49532, 49533?\n\"Answer: q + 49527","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*t - 13 = -2*q - 26*t, 4*q + 10*t + 106 = 0 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 7*d*m**3 - 39764*d*m**2 - 5*d*m - 130*d - 10*m**3 - 999*m - 4 wrt m.\nAnswer: 42*d*m - 79528*d - 60*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -2 - 2 - (0 - -2). Let y(m) = m**2 - 4*m - 6. What is the remainder when v\/3 + (47 - 2) is divided by y(-3)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -73134.24 rounded to the nearest 1000?\nAnswer: -73000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -17909, -71632, -161175, -286538, -447721, -644724?\nAnswer: -877547","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 259*a - 2 - 278*a + 2.\nAnswer: -19*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + -10 + 5 + (55 - 56).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.6 * 478.\nAnswer: -286.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 36\/14 - 36\/12?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 228 and 6.\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 7659 + 0.4?\nAnswer: 7659.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*i - 3*i + 69*i + 186 = 0 for i.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 37 * 664\nAnswer: 24568","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 8747903 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -39 + 2 + 0\/(-4 + 3). Let j = -32 - q. Suppose 0*p = -j*d + 5*p + 10, -d - 2*p + 5 = 0. Solve -1 = -4*w + d*w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 390648 is divided by 18.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17771 - 1643 = -78*v + 330*v. Put -2, v, -1 in descending order.\nAnswer: v, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -4 and 206795007.\nAnswer: 206795003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-11 + n + 0*n + 9)*(2 - 2 + 3*n) to h + v*n**2 + o*n and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 88116267?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20 (base 3) to base 12.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13 - 2*b**3 + 544*b**2 - 2*b - 13 - 1209*b**2 + 25 to v*b**3 + z*b**2 + h*b + n and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 13115264 to the nearest integer?\nAnswer: 236","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -4 times -3734\nAnswer: 14936","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the first derivative of 23*f**2\/2 - 2*f - 1. Let x(l) = -37*l + 39*l + 44*l - 134*l + 43*l + 39*l. Determine x(j(y)).\nAnswer: -138*y + 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -10 + 19695. Suppose 24715 = -6*o - h. What is o rounded to the nearest one thousand?\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1585240 (base 9) to base 16\nAnswer: -d7949","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000086797128 rounded to six dps?\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -34*f**3*h - 3*f**3 + 5019*f**2*h + 9544848*f**2 wrt h?\nAnswer: -34*f**3 + 5019*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*z = -21*z - 5. Suppose 10*u - v = z*u + 12, 3*u - v - 6 = 0. Let h be (0 - 4\/(-6))\/(u\/54). Calculate the highest common divisor of h and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -72 not equal to 55?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/2 of a decade in months?\nAnswer: 1620","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4 + -6. Let r = -11\/12 - -5\/3. Which is the second smallest value? (a) p (b) r (c) -0.07\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of l**3 - 39*l**2 + 202?\nAnswer: 3*l**2 - 78*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -83216*t + 7. Let v be y(-7). Let b(p) = -761*p**3 - 6*p**2 + 3*p + 5. Let r be b(-19). Let c = v + r. What is c rounded to the nearest one million?\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 122560624?\nAnswer: 2, 7660039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -19 - -39. Suppose 0*r + 5*r = x. Suppose -4*a - a = -r*s - 62, 0 = 3*a + 5*s - 15. Calculate the lowest common multiple of a and 8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 35 + 11 = 0. Let i = 1 - -5. Suppose -i*f + h*f - 614 = 0. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 2\/17 (b) 3 (c) -3 (d) 0 (e) 547\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 993527 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 89595010?\nAnswer: 2, 5, 541, 16561","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out 239695357 - -0.13926.\nAnswer: 239695357.13926","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -2*q + 69. Let z be y(29). Solve z*j = 6*j - 5 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (48\/(-40))\/((-4)\/10). Let v(c) = 4*c**3 - 9*c - c**2 + 21 - 3*c**y - 4*c**2 + c**3. Is v(9) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -847*z**4 - 2*z**2 - 213*z wrt z?\nAnswer: -20328*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -46*p**3 - 43 + 43 + (-p**2 - 1 + 1)*(3*p + 0*p - p) + 6*p**3 + 7*p - 7*p.\nAnswer: -42*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110010111011100011111111 - 10?\nAnswer: 110010111011100011111101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = d + 58. Let i = 12 + 8. Calculate the remainder when o(19) is divided by i.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 (base 11) in base 13?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 408 is divided by 137?\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1276911 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 j(l) = -l**2 - 7 + 2*l**2 + 11*l + 2*l - 2*l**2. What is the tens digit of j(11)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 5749133216, 5749133215, 5749133214?\n\"Answer: -d + 5749133217","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 8b2 + -3?\nAnswer: 8af","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-t**2 - 1 + 1)*(13*t - 18*t + 7*t) - 3*t**3 - t**3 + 2*t**3.\nAnswer: -4*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sbbbbsb. What is prob of sequence sbs?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 4*y = 5*i - 53, -5*y + i + 65 = 0. Let p = -324 - -548. What is the highest common factor of p and y?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4266866 or 29868068\/7?\nAnswer: 4266866","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*v + 8*v + 4 = 0. Let h(z) = -6*z + 21*z - 8*z - 1. Let g(i) = 8*i - 2. Let j(s) = v*g(s) + 3*h(s). What is j(-2)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 145, 103, 33, -65?\nAnswer: -191","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*a - 3*a + 3*a)*(3*a + 0*a + 5*a)*(-2*a**2 + 0*a**2 - a**2) + a**4 + 2*a - 2*a to the form y*a**3 + t*a + j*a**2 + c*a**4 + i and give c.\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 180237 is divided by 589?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 2*x = 172, -3*x = -3*f + 6*f - 288. Calculate the remainder when f is divided by 24.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = 5*k - 7, 5*h - 2*k = 6 - 36. What is the tens digit of 312\/32*h\/(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.594229 years in centuries?\nAnswer: 0.09594229","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 604619 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 12 from -2.2.\nAnswer: -14.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 18 + -47097388?\nAnswer: -47097370","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (5 - 3 - 1)*(59*h - 160*h - 6172 + 45*h + 55*h) as d*h + x and give x.\nAnswer: -6172","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 236 is divided by 89?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 11474\/3 + -3825. Put 8, -0.03, m in descending order.\nAnswer: 8, -0.03, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -17843, -0.09, 4 in descending order.\nAnswer: 4, -0.09, -17843","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 498*l - 1329 - 663. Let o = 0.06 - -1.94. Which is the fourth smallest value? (a) -0.4 (b) 9 (c) l (d) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 + (-2 + 2 - (1 + 2) - (-89 + 78))?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5 * -7472.23.\nAnswer: -37361.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 369906371 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(2\/13)*f**(-3\/2))\/((f*f\/f**26)\/f)**0 assuming f is positive.\nAnswer: f**(-35\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 80 + -69. Let r(l) = -l**2 + 7*l + 41. Let n be r(w). Let s(x) = -x**3 - 8*x**2 + 8*x - 11. Let j be s(-9). Sort 1, n, j in decreasing order.\nAnswer: 1, j, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + -2*sqrt(432)*-5 + -5 + 3)**2.\nAnswer: -1440*sqrt(3) + 43236","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -p**3 + 6*p**2 - 5*p + 4. Let j be y(6). What is the tens digit of 4\/j + 1304\/26?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 38 + -28. Find the third derivative of 2*b**3 + 2*b**2 + 4*b**2 + b**3 + f*b**3 wrt b.\nAnswer: 78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1869 is divided by 36?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1324 - 1322. Let y(j) be the third derivative of 0*j**4 + 3\/10*j**5 + 0 + c*j**2 - 3\/2*j**3 + 0*j. Differentiate y(q) with respect to q.\nAnswer: 36*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 133 is divided by 15\/(-4)*504\/(-70).\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + -4*(((sqrt(3)*-2 + sqrt(3))**2*-4 - sqrt(3)) + sqrt(432)*-1) + -1)*1 + -4.\nAnswer: 48 + 52*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/2*40\/(-20).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*g + 2*u - 970680, -5*g = 50*u - 55*u - 2426670. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-15)\/(-10)*1\/(3\/(-2)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 24465672 to the power of 1\/2, to the nearest integer?\nAnswer: 4946","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 4323532151 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -13*k + 2*k - 2*k - k. Let y(v) = v - 1. Let c(a) = -a**2 - 6*a + 6. Let w(s) = c(s) + 6*y(s). Calculate z(w(d)).\nAnswer: 14*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -3120862 greater than -3120863?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = l**2 + 611*l - 49944. What is b(73)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 432455316.\nAnswer: 2, 3, 17, 2119879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l = 4*o - 35, 9*o + 38*l - 36 = 41*l for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -x**2 + 2. Determine f(-6).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -71.59 from -0.51.\nAnswer: 71.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -2*h**2 + 16427*h - 131267. Give l(8).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*b - 3*w - 4 + 19, 0 = 5*w - 25 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 76698404 a multiple of 197?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17315?\nAnswer: 5, 3463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -301*p**2 - 35*p. Let d(l) = -25*l**2 - 3*l. Calculate -70*d(y) + 6*o(y).\nAnswer: -56*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -a**3 - a**2 - a + 1. Let u(t) = 25*t**2 + t - 1. What is -u(h) - y(h)?\nAnswer: h**3 - 24*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in seventy-nine halves of a century?\nAnswer: 395","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 481 + -905. Suppose p + 153 = -99. Let a = p - x. What are the prime factors of a?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -332*r**2 + 1 + 35 + 324*r**2.\nAnswer: -8*r**2 + 36","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 634.9402m in nanometers?\nAnswer: 634940200000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/90*27)\/(((-21)\/90)\/(-7)).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 654 and 3.\nAnswer: 654","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -1830, -3658, -5486?\n\"Answer: -1828*q - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12964?\nAnswer: 2, 7, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11 + -1100011101100011101110110?\nAnswer: -1100011101100011101111001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (39*100\/(-3120))\/(((-1595)\/(-48))\/11).\nAnswer: -12\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 13 - 5 = 0. Let y(h) = 3*h**3 - 2*h**2. Calculate the remainder when 61 is divided by y(a).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -17.338143 take away -2?\nAnswer: -15.338143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (77*u + 24*u + 478 - 480)*(-2 + 3 + 9)*(-4 + 0 + 2) in the form t + c*u and give t.\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 7*l**3 - l**2 - 5*l - 4. Let u be m(-1). Put -2, u, 2 in decreasing order.\nAnswer: 2, -2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4805, 25, -15 in decreasing order.\nAnswer: 4805, 25, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -37*f - 264*f + 2201815. List the prime factors of f.\nAnswer: 5, 7, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 <= 3199\/11376?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-c**3 + 0 + 0)*(-13 - 8 + 26 + (2 - 1 - 3)*(-2 - 3 + 7) + 3 - 1 - 4).\nAnswer: c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 32.05 + -41.05. Which is the closest to 6? (a) -0.2 (b) p (c) 2\/9 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 3*f**3 - 14*f**2 - 5*f. Let n be (-9)\/(36\/(-16))*5\/4. Let x be s(n). Which is bigger: -1\/4 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 65358773?\nAnswer: 139, 470207","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -10*g**2 + g + 1. Let u be s(-1). Let w be (1\/(-5))\/(8\/u). What is the closest to -1\/4 in -1, w, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 85\/899 - -2\/899. Which is the smallest value? (a) 3 (b) n (c) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*f + y + 13, 0*f = 4*f - y - 16. Suppose 4*g - 2 + 0 = j, -j + 2*g = 0. Let t be ((-4)\/8)\/(j\/(-4)). Solve 4*d - f = t for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -838*u - 657 = -765*u for u.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -143 - 414411?\nAnswer: -420104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 74723648.\nAnswer: 2, 41, 28477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 26*a + 26. Let g be z(7). Calculate the highest common divisor of g and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 1 + 2)*(0 + 2*z + 0) + (2 + 0 - 1)*(9*z - 3*z - 4*z).\nAnswer: 4*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3946483 to the nearest integer?\nAnswer: 158","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 - -158926418376\nAnswer: 158926418376.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 24 = -8*s + 4*s, -4*j + 5*s + 42 = 0. Suppose 5*h - 2*a + j = -0*h, -13 = 4*h + 5*a. Which is bigger: h or -5?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*p - 3*p - 80 = -d, -238 = 561*d - 680*d for p.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_2d_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: Let t(y) be the second derivative of -y**4\/2 + y**3\/2 + 3*y**2\/2 + 21*y. Let n(l) = 5*l**2 - 3*l - 4. Let p(i) = 3*n(i) + 2*t(i). Factor p(s).\nAnswer: 3*(s - 2)*(s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-5)\/((-160)\/298128)*(-4)\/(-6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j**3 - 8*j**2 + j - 2. Let l be i(-8). Let s(r) = r**2 + 10*r - 7. Determine s(l).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + 8 + -5 + -9 + 6 + 16.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -2824654 divided by 5453\nAnswer: -518","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -5*x**3 + x**2 + x + 1. Let v(s) = -3. Let d(u) = u - 8. Let h(c) = d(c) - 5*v(c). Let m be h(-8). Calculate n(m).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7\/126)\/(14\/56*-2)?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*f**2 + 89*f**2 + 24*f**2 - 85*f**2 + 3*f**2.\nAnswer: 43*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 165?\nAnswer: 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -17 - -5. Let b be (s\/(-10))\/((-10)\/25). Let r(k) = 3*k + 1 - 5*k - k**2 + 0*k**2. Give r(b).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = v**3 - 4*v**2 - 6*v + 6. Let u be o(6). Suppose 4*t + 3*r + 30 = 5*t, -2*t + u = 3*r. Suppose f = -0*f + t. Is 10 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -11*o. Let q(w) = -9*w + 36. Let n(g) = 4*g - 15. Let r(m) = -12*n(m) - 5*q(m). What is r(k(p))?\nAnswer: 33*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 2, i: 2}. Give prob of picking 2 i and 1 c.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 646 minutes after 5:18 PM?\nAnswer: 4:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 7*n**4 + 36869*n**3 + 5261*n**2 + 212 wrt n.\nAnswer: 168*n + 221214","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -143\/6102 and 109\/36.\nAnswer: 12204","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/3*f**4 - 20\/3*f**3 - 26\/3*f**2 + 0 + 44\/3*f.\nAnswer: 2*f*(f - 11)*(f - 1)*(f + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = 5*n - 57 + 2, -p = -n - 1. Let w = -5 + 4. Let v be 19\/4 + w\/(-4). Solve -v*t - p = 19 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 99 plus -577?\nAnswer: -478","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7 + 9.4. Let t = 10.6 - h. Let d = t - 8.200224. Round d to 5 dps.\nAnswer: -0.00022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -16511 rounded to the nearest 1000?\nAnswer: -17000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -i**3 + 4*i**2 - 3*i + 3. Suppose 0 = -6*n + n + 15. Let u be o(n). Suppose t + u*t + 5*k + 13 = 0, -3*t = 4*k + 11. What are the prime factors of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is i in -200*i**4 - 2140*i**3\/3 - 908*i**2\/3 + 128*i + 48 = 0?\nAnswer: -3, -2\/3, -3\/10, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(875)*1 + ((sqrt(315) - (sqrt(315) - (sqrt(315) + -1*sqrt(315) + sqrt(315)))) + sqrt(315))\/sqrt(9))\/(-4*(-3*sqrt(112) + sqrt(7))).\nAnswer: 7*sqrt(5)\/44","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -73*w - 430*w - 2686*w - 613*w + (-2*w - 4*w + 5*w)*(-4 + 2 + 0).\nAnswer: -3800*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.081 + 0.019. Let x = -0.4 + 0.3. Which is the closest to x? (a) -1\/4 (b) u (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 3*t + 11 = 88, -2*g + 5*t + 71 = 0. Solve -2*l + g = -3*p, 2*l = 4*l + 4*p + 12 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 496 minutes before 9:41 AM?\nAnswer: 1:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -44180775 divided by 225.\nAnswer: -196359","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 0*l**2 + 12 - 6*l - 4*l + l**2. Let o be n(9). Suppose -5*s - 35 = -5*t, o*s = -t - 0*t - 9. Sort 1, 5, s in descending order.\nAnswer: 5, 1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q**3 - 8*q**2 + 130*q - 7. What is k(-16)?\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 plus 1771?\nAnswer: 1771.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 + -1 - 24 - -24.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 50 + -52. Suppose 0 = n - x + 105, -4*x = 2*n - 0*x + 228. Let d = n + 103. What is the third smallest value in 19, j, d?\nAnswer: 19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -l**3 + 17*l**2 + 19*l - 14. Let d be y(18). Let x(s) = 11*s + 4*s - 15 - d*s + 11. List the prime factors of x(2).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 64*j**2 - 64*j**2 - 136*j - 77*j**3 - 34*j**3 wrt j?\nAnswer: -666*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 1, h: 2, m: 2, n: 1, u: 4, r: 7}. What is prob of picking 2 h and 2 r?\nAnswer: 3\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 7.313047 kilograms?\nAnswer: 7313047000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.048 * -21.\nAnswer: 1.008","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3411325?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -80.01887 + -1030192.\nAnswer: -1030272.01887","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8267*y**2 - 4*y**3 + 2063*y**2 + 2063*y**2 + 2071*y**2 + 2064*y**2.\nAnswer: -4*y**3 - 6*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 17*d**3 + 3*d**2 + 3. Let a(n) = -33*n**3 - 5*n**2 - 5. Let h(g) = -3*a(g) - 5*w(g). Determine h(1).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-4)\/1)\/4)\/(7*23\/3703).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 0.1 (b) -2.6 (c) 5.37\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 31 divided by 14010\nAnswer: 31\/14010","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 56280898 is divided by 50.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -c**3 + 3*c**2 + 64*c - 86. Let l be z(9). Let y(p) = -10*p + 47. Give y(l).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16243423.\nAnswer: 7, 19, 122131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/25 of a litre?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -96, -94, -92, -90, -88, -86?\n\"Answer: 2*r - 98","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -17*f**3 + 12*f**2 - 22*f + 4. Let i(v) = 16*v**3 - 10*v**2 + 18*v - 4. Determine -5*d(n) - 6*i(n).\nAnswer: -11*n**3 + 2*n + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-2 + 0)\/2)\/(2\/(-218)). Let a = 1806 + h. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1732 is divided by 68?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1080)\/360*9*1.\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -y - 1. Let g(k) = 2*k + 4. Let r(v) = g(v) + 4*j(v). Let n(m) = -2*m - 8*m**2 + 2*m. What is r(n(d))?\nAnswer: 16*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -2*d + 5*h + 5, 5*d = -4*h + 17. Let m be (-16)\/(-6) - (-4)\/(-6). Solve -d + m = -3*j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*f**2 + 0*f**2 - 49*f**3 + 4.\nAnswer: -49*f**3 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) be the second derivative of -3*v**7\/7 - v**5\/10 + 37*v**3\/3 + 3*v**2\/2 - 51*v + 6. Find the second derivative of c(k) wrt k.\nAnswer: -360*k**3 - 12*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d**3 - 9*d**2 - 9*d - 8. Let b be v(10). Solve 3*q**3 - 3*q**b + 3*q**4 + 4*q**2 + 0*q**3 - 3*q - 4*q**2 = 0 for q.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (6\/(540\/185))\/1 and 55\/1392?\nAnswer: 4176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 - 4 + 3)*(-14 - 12 + 27 - 30*v**2) to the form k + z*v + t*v**2 and give k.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y + 22 = -31*r + 28*r, 2*r = -5*y - 33 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -14, -33, -72, -143, -258?\nAnswer: -429","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1885572 divided by 884.\nAnswer: 2133","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -1356 (base 11) in base 4?\nAnswer: -123123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 20\/3*-9*(-2)\/12?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 3.550627 (b) -6 (c) 2\/3 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 5 (b) -0.2 (c) 1 (d) 14\/3149\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(4\/15)*(v\/(v\/(v\/v**(-4))))\/v)\/((v\/v**(-9))\/(v\/v**(8\/5))) assuming v is positive.\nAnswer: v**(-19\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -5*i + 9. Suppose 3*s - 2*t - 34 = 0, 2*s + 5*t + 10 = i. Calculate the remainder when 29 is divided by s.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -95*s + 87*s + 0*s**2 + 26 + s**2. Let p be j(5). Solve 4*q + 1 = -p for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.0506 - -0.06605. What is d rounded to 3 dps?\nAnswer: 0.015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*m - 18 = -9*m - 3*g, 5*m + 8*g = -g + 4*g + 30 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/21)\/((60\/100)\/(147\/15))?\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 162497 = -59*a + 939586. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -31*i + 308. Let y(q) = 46*q - 435. Let s(x) = 7*u(x) + 5*y(x). Let d(l) = 9*l + 3 - 16 + 0*l. What is 7*d(t) - 5*s(t)?\nAnswer: -2*t + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -199.7 times 31\nAnswer: -6190.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 399950911 by 6778829.\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:09 PM and 10:06 PM?\nAnswer: 237","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -19, 3, -560, 7, -2, 5 in decreasing order.\nAnswer: 7, 5, 3, -2, -19, -560","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 33464 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -2*i**2 - 8*i - 13. Let c be p(-4). Let g = c - -15. Solve r = g*r - 5 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 99 divide 328744243?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 199 = -689. Suppose 72 = -3*m + j. Let b = -48 + 68. Calculate the greatest common factor of b and m.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 78 not equal to 78?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 265\/(-25) - (-14 + 7) - 9\/(-3)?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 22*x. Let i(g) = -4819*g + 46. Give z(i(h)).\nAnswer: -106018*h + 1012","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 299000 rounded to the nearest one hundred thousand?\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 + (-27)\/(-12))*-4.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -35*m + 2. Let j(b) = 68*b - 4. Calculate -9*d(a) - 4*j(a).\nAnswer: 43*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 93347 is divided by 559.\nAnswer: 553","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*x - 246 - x + 246.\nAnswer: 4*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1101010110001001000001 (base 2) in base 5?\nAnswer: 1343423221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8 + (-3 - 20\/8))*(-52)\/(-10).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -5*h + 27. Let n be v(5). Suppose 2 = b + b. Let y be -4 + b + n + 28. Calculate the greatest common divisor of y and 243.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 13.7 + -14. What is the closest to -1 in y, 1\/2, -2?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1303303 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 2756038567 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*sqrt(252)*3 - sqrt(252).\nAnswer: 48*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -349 + 262. Which is smaller: k or -1?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 14 and 1\/3 - 21371\/(-21)?\nAnswer: 7126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -473 (base 10) to base 13.\nAnswer: -2a5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2591234?\nAnswer: 2, 1295617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -18493, -37036, -55633, -74278, -92965, -111688?\nAnswer: -130441","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 444*x**2 + 6201*x**2 + 278 + 1266*x**2 + 4947*x**2.\nAnswer: 12858*x**2 + 278","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = c**3 + 3*c**2 + c - 4. Let h be u(-3). Let a(k) = -4*k**2 + 7. Let o(i) = 3*i**2 - 5. Let p = 7 + -12. Calculate h*o(w) + p*a(w).\nAnswer: -w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -23*j**3*o*w**3 - j**3*w**2*y + j**3*y + 7*j**2*o*w**2*y - 2*j**2*o*y - 9*o*w**3*y wrt w?\nAnswer: -138*j**3*o - 54*o*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3189 or -7552?\nAnswer: -7552","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 29 - 29. Suppose -4*m - 5*a + 55 = -3*m, q = -m - 2*a + 49. Suppose -502 = -5*f - 4*t, 3*f + 5*t - 354 = -m. Is f a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -28529, -28821, -29199, -29657, -30189, -30789?\n\"Answer: i**3 - 49*i**2 - 152*i - 28329","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 855394844?\nAnswer: 2, 211, 1013501","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -814*c + 818*c + m - 2 = 0, 4*c + 2*m = 0 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 163.6092 rounded to the nearest 10?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vj when two letters picked without replacement from vjsvv?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 2*z**2 - 134*z + 922. Give t(58).\nAnswer: -122","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 19140 and 913690.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1, -4, -21, -56, -115, -204, -329?\nAnswer: -496","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*f + q - 3190 - 856, -f + 4*q = -1020. Is -0.2 smaller than f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -32 + 173. Calculate the greatest common divisor of 1081 and u.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/10557 (b) -10\/3 (c) 0.22\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 7 = 8. Let t be r - (3 + (3 - 8)\/(-5)). Let c(k) = -k + 1. Let p(j) = 2*j - 3. Calculate t*p(i) - 4*c(i).\nAnswer: 2*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6*a - 89 - 87 - 4 for a.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 154556, 154535, 154478, 154367, 154184, 153911?\nAnswer: 153530","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 3*t + 21 = 0, -15 = -2*n + t + 2*t. Suppose 5*l = 6*l + 5*i - 23475, -2*l + 46985 = n*i. Round l to the nearest one thousand.\nAnswer: 24000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 7574 - 6.7.\nAnswer: 7567.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) be the second derivative of -2*a**3\/3 + 3*a**2 + a + 1. Let x(y) = 7*y - 11. Determine -5*g(s) - 3*x(s).\nAnswer: -s + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -5*a**2 - 3*a - 3. Let k(n) = 11*n**2 + 7*n + 6. Let u(p) = 6*k(p) + 13*v(p). Let i = 39 - 27. Let w = -18 + i. Give u(w).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 37 = 4*m - 0*z, 34 = 3*m + 2*z. Let p be m\/2 - (-14)\/(-3). Let h(d) = d**2 - 9*d. Let b be h(9). Do p and b have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/((k*k**(-3)*k)\/k*k))\/k)**(-1\/21) assuming k is positive.\nAnswer: k**(-1\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 6 = -2. Let n(v) be the third derivative of 0 - v**2 + 1\/60*v**5 - 1\/6*v**3 + 0*v + 1\/24*v**c. Calculate n(2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 minus 1312107435012?\nAnswer: -1312107435011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 3100577 divided by -317?\nAnswer: -9781","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-5)\/(-225)*-321 + 2\/15. What are the prime factors of 90\/210 + (-1 - 508\/t)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one tenth of a litre?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 5*p + 15 = 0, 2*b - 5 = -2*p + p. Suppose -b*h - 2 = -h. Suppose -4*a - 2 = -2*s, 25 = -5*a + 3*s - 5*s. Put 1, h, a in increasing order.\nAnswer: a, h, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 43 is divided by 18.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = f. Let m(r) = -592969*r**2. Calculate m(h(p)).\nAnswer: -592969*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1\/12)\/(-1 + (-22)\/(-16)). Factor 2\/9*a**2 - 2\/9*a + 2\/9*a**3 - s.\nAnswer: 2*(a - 1)*(a + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -89, -162, -211, -236, -237?\n\"Answer: 12*r**2 - 109*r + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1605 + 81853\/51. What is the common denominator of 27\/17 and g?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 96*q + 11*q - 14*q - 285417 = 0. Is q a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the second derivative of -u**7\/14 + 262*u**6\/15 + u**4\/6 - 617*u**3 + 3010*u. What is the second derivative of g(p) wrt p?\nAnswer: -60*p**3 + 6288*p**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a microgram in nanograms?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 4.4, -5, 0.15155?\nAnswer: 0.15155","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = a**3 + a + 49. Suppose 0*h + 3*h = 0. Let y be u(h). Differentiate -15*t**3 - 26*t**3 - 6 + y*t**3 wrt t.\nAnswer: 24*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) be the third derivative of 1\/8*g**4 + 0*g + 0 - 26*g**2 - 2\/3*g**3. Let f(d) = d - 1. Determine -14*f(u) + 4*x(u).\nAnswer: -2*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p\/(((p\/p**4*p*p)\/p)\/p)))\/((p**(-14)\/p)\/p*p*p) assuming p is positive.\nAnswer: p**11","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0744141 less than -3064?\nAnswer: -3064.0744141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -12 + 12.3. Let q = -4707 - -4708.1. Which is the second smallest value? (a) v (b) 0 (c) q (d) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4d (base 16) in base 11?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 2, 1, -4 in ascending order.\nAnswer: -4, 1, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) be the third derivative of -115\/24*v**4 + 65\/3*v**3 + 0*v + v**2 - 59. Differentiate i(c) with respect to c.\nAnswer: -115","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 7122 and -0.22675?\nAnswer: -1614.9135","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 201.47 (b) 2 (c) 127\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 28909 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 349261971 a multiple of 11063?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2232*10.7.\nAnswer: -2.38824","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*k**5 + 13*k**4 + 136*k**3 - 530*k**2 + k wrt k?\nAnswer: 120*k**2 + 312*k + 816","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -5503 - 74564?\nAnswer: -81167","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (-3 + sqrt(275)*3 - sqrt(275)) + 4)**2 + -2.\nAnswer: -20*sqrt(11) + 1099","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 181670?\nAnswer: 2, 5, 37, 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e and 1 i when three letters picked without replacement from esseeejsissseesses?\nAnswer: 7\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 57 and 38430502?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 581*d = 576*d + 3*u + 82, -4 = d - 4*u. Solve d*n - 81 + 181 = 0 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-39)\/91)\/((297\/(-792))\/(21\/4))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by 1413.\nAnswer: -1\/1413","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f + 438 = -j + 447, -77 = 2*f - 5*j for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 17*x - 159. Suppose 24*k - 87 = 129. Let m be c(k). Let t(l) = -l**2 + 2*l - 5. Let h(s) be the first derivative of s + 3. What is m*h(q) - t(q)?\nAnswer: q**2 - 2*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2789381136?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jjgl when four letters picked without replacement from gjlgggllgqlljlmmjqg.\nAnswer: 3\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 3\/5228 and 107\/9412.\nAnswer: 12301484","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 77.8 + -78. What is the closest to w in -1, 2\/7, -3\/4?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 4 and 139788712.32.\nAnswer: 139788716.32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by 106.\nAnswer: -1\/106","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -57\/406 and 9\/4292?\nAnswer: 30044","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = p - 4, 4*p - 1 = -h + 3. Let l(r) = r + 2. Let w be l(0). Solve p*m + 5 = k + w*m, -3*m + 9 = 0 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 2 d when three letters picked without replacement from tcdsb?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2 * 18857.\nAnswer: 37714","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -9.92 + 10. What is the third smallest value in 0, -1, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -97 - -97.0000212. What is c rounded to 6 dps?\nAnswer: 0.000021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that -6*f**4\/11 - 4*f**3\/11 + 18*f**2\/11 + 24*f\/11 + 8\/11 = 0.\nAnswer: -1, -2\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 24778 + -6528. Let i = k + -218851\/12. What is the common denominator of 87\/8 and i?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -27 + 97. Suppose 0 = -x - 4*x + m. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 2 = -2*i, -4*i + 10 = -m - 7*i. Let c be 0*(27\/21 - 2\/7). Solve r - m*r = c for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen fifths of a kilometer in meters?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 811 + -813. Let p be 0 - ((-10)\/(-210) + (-1)\/3). Which is the nearest to o? (a) p (b) -8 (c) 2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1349*i - 1342*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 82 a factor of 15118?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m*m*m**(2\/15)*m*(m\/(m\/m**(6\/11)))\/m)**(-44) assuming m is positive.\nAnswer: m**(-2428\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the third derivative of 2*i**7\/105 + i**6\/5 + 11*i**5\/15 + i**4 + 22*i**2. Factor u(y).\nAnswer: 4*y*(y + 1)*(y + 2)*(y + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 385*y**3 - 25*y**2 - 1360*y + 190. Let t(n) = 97*n**3 - 6*n**2 - 340*n + 48. Let m(p) = 4*r(p) - 15*t(p). Find u, given that m(u) = 0.\nAnswer: -2, 2\/17, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 15 - 15 - 17*j - j + 4*j - 2*j + (-3 + 3 - 2)*(-j + 0 + 0) - 33 - 62*j + 33 + 180*j.\nAnswer: 104*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 40352?\nAnswer: 2, 13, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (3*sqrt(6)\/sqrt(2) + (2 + sqrt(9)\/sqrt(3) - sqrt(3)) - (3 + -4*(sqrt(3) + 1))) + 0)**2.\nAnswer: 112*sqrt(3) + 211","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 100, 38, -66, -212?\nAnswer: -400","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13267 is divided by 553.\nAnswer: 548","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**(-19)\/d*d**(-10\/7))\/(d**(-11\/5)\/d)**(-6\/19) assuming d is positive.\nAnswer: d**(-14257\/665)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 15*b - 13. Suppose 2*p + 5*g - 21 = 0, -7*p = -2*p - 5*g. Is a(p) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the first derivative of 5*p**2\/2 - 13*p - 4. Let j(o) = -16*o + 38. Let s(x) = 2*j(x) + 7*z(x). Let t be s(6). Solve -t*l + 13 = -2 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12051373 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -2*z - 6. Let a be u(-15). Find the common denominator of (-1068)\/a*(-1)\/(-15) and 35\/4.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**2*t**(1\/6)*t**2\/(t*t*t*t*t\/(t\/t**(-2\/9)*t*t)*t) assuming t is positive.\nAnswer: t**(25\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/(-8) + -23 + 20334\/24. Calculate the highest common divisor of 64 and d.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1683.\nAnswer: 3, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8864*c - 8868*c + 4*c**2 + 17732*c.\nAnswer: 4*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-t + t - 3*t)*(-4*t + 4*t + 2*t)*(7 - 2 - 4).\nAnswer: -6*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*n + 2*n + 2*n)*(-10 + 14*n + 10) + 3*n**2 + 4*n**2 - 5*n**2 + (-3 - n**2 + 3)*(-2 + 4 + 2).\nAnswer: 110*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1170097.95999816 + -1170098. Let y = 6.96 - 7. Let u = y - b. Round u to seven decimal places.\nAnswer: 0.0000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.5 and -32.32489?\nAnswer: -16.162445","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 198730.\nAnswer: 2, 5, 7, 17, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4428?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 734 - 733.3. Is 1\/3 <= q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) be the second derivative of 0*l**2 + 0 + 2*l + 1\/3*l**3. Let t(v) = -2*v**2. Determine t(n(p)).\nAnswer: -8*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(128)*-1)\/(1*sqrt(12)\/sqrt(3)).\nAnswer: -20*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0134178871 rounded to 6 dps?\nAnswer: -0.013418","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 20204395?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 5*x + 3. Let o(p) = 2*p. Determine r(o(m)).\nAnswer: 10*m + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is t in -155*t**3\/2 + 13955*t**2\/4 - 150885*t\/4 + 1215\/2 = 0?\nAnswer: 1\/62, 18, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 33.71 - 4.11. Let h = 30 - l. Let q = 1 - 1.2. Sort q, h, -2\/5 in ascending order.\nAnswer: -2\/5, q, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 57457757 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -73105 (b) 3 (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the first derivative of -2 + 1\/3*m**3 - 1\/2*m**2 + m. Let w(p) = -6*p**2 + 5*p - 3. Let k(t) = -t + 1. Let j be k(6). Determine j*l(i) - w(i).\nAnswer: i**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -127*f**4 - 28*f**3 - 12740 wrt f.\nAnswer: -508*f**3 - 84*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -0.3, 1468, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -0.055 * 0.073\nAnswer: -0.004015","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand j**3 - 3*j**4 - j**3 - 145*j**4 - 94*j**4 - 18*j**4 + (-j + 4 - 4)*(3*j**3 - 6*j**3 + j**3).\nAnswer: -258*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 - 14 = -i. Suppose -11*d = -7*d - i. Let r be (d\/(-6))\/(2\/6). Which is bigger: -2\/11 or r?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 70 + -37. Let a be ((-6)\/(-4))\/(d\/154). Suppose -4*z + a*z = 465. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 78 by -39.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = p**2 - 8*p - 5. Let v be m(10). Let y = -9 + v. What is the units digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 2180332.2ns?\nAnswer: 0.00003633887","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -13*u + 24*u - 7*u + 72 for u.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 90 a factor of 2943450?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 1\/4 of a gram?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 213 and 19400963.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 17\/((-51)\/(-60)) + (-3 - 7). Let b be (170\/(-25))\/((-1)\/5). Calculate the highest common factor of x and b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6512\/(-4884)*114\/4.\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-20 + 45 + 14)*(-2 - 2*o + 2)*((-1 + 0 + 0)*(-5*o + 3*o + 3*o) + (3*o - 1 + 1)*(4 + 0 - 3)).\nAnswer: -156*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -94, -179, -254, -313, -350, -359?\nAnswer: -334","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000009196715 rounded to 7 decimal places?\nAnswer: -0.0000092","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6 + -4. Suppose 4*l**4 + 5*l**4 - l**5 - l - 5*l**4 - 4*l**3 + 4*l**z - 2*l**3 = 0. What is l?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 217, 2, -5, -3, -2, -8755.\nAnswer: -8755, -5, -3, -2, 2, 3, 217","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (3 + 15\/(-6))\/(20\/(-160))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2844 by 2.\nAnswer: 1422","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -21049*z - 7*z**2 - 3 + 10538*z + 2 + 10509*z in the form q*z + f*z**2 + w and give f.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*s + 9*s - 4*k - 140, 167 = s + 5*k. Is s != 158?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -138 - -138.057. Let u = c + 0.173. Let r = 0.08 - u. Round r to 2 decimal places.\nAnswer: -0.15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (160\/(-25) + (-4)\/(-10))*1. Suppose -2*t = 5*v + 94, 5*t - 5 = -2*v - 51. Let b be (y\/(-4))\/((-1)\/v). Calculate the highest common factor of 18 and b.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -13745251*h**3 + 237975937*h**2 + 1 wrt h.\nAnswer: -82471506","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*i - 23*i - 10*i.\nAnswer: -31*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (5 - 5) + (-218)\/2. Let c = 166 + f. Is c a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 6 = 39. What is the third derivative of o**2 - 3*o**6 + 7*o**2 + f*o**2 + 4*o**6 wrt o?\nAnswer: 120*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m + 3 = 1 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-3230)\/(-19380) + 283\/(-6)\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 7*b**4\/2 - 45*b**3\/4 + 37*b**2\/4 - 3*b\/2.\nAnswer: b*(b - 2)*(b - 1)*(14*b - 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -55*r - 2934 + 349. Which is greater: r or -338\/7?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o - 356 + 348 = 0 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 4*c + c = -1, -t = -4*c - 17. Suppose -t + 2 = -h. Solve 0 = h*a + 2 + 10 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -5162?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 11 - 60. Let l = -3104994 + 3104945.00138. Let t = l - z. What is t rounded to 4 decimal places?\nAnswer: 0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*h + 12 = 14*h. Suppose -4*s = -s. Differentiate 3*y**h - 2 + s*y**2 + 0*y**2 wrt y.\nAnswer: 12*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 83 divide 29550?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 151507 is divided by 315.\nAnswer: 307","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 630?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 4 - 2)*(-57060*g + 57060*g - 47*g**4).\nAnswer: 47*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s. Let t(a) be the second derivative of 2*a - 1\/6*a**3 + 0*a**2 + 0. Calculate t(h(q)).\nAnswer: q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i - 2417*g = -2420*g - 37, 5*g = -i - 8 for i.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 2*f - 11. Suppose 0 = 13*r - 16 - 36. Suppose -4*y + r*h + 24 = 0, -7 = -y - 3*h + 7. What is u(y)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(35)\/(sqrt(21)\/sqrt(3)*-1) + 1)**2 + 2 + -1*sqrt(320) + 5.\nAnswer: -10*sqrt(5) + 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 6427075 to the power of 1\/5, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9710?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.3 + -0.2. Is -3 < r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -88436 - 84244. What is m rounded to the nearest 10000?\nAnswer: -170000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.45 + -0.05. Let i = 3 - 2. Let s = i + 3. Which is the closest to 0.1? (a) s (b) k (c) -4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*m = 2*m + 64. Suppose -m*f = -529 - 1391. What is the greatest common factor of 5 and f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 342 greater than 365?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u**2 + 8*u - 9. Suppose -12 = n + 1. What are the prime factors of y(n)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3074 divided by 6.\nAnswer: 1537\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:24 AM and 12:34 PM?\nAnswer: 610","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(11) - sqrt(88)\/(sqrt(32)\/sqrt(4))) + 2 + sqrt(99)\/sqrt(9).\nAnswer: 2 + sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -v**3 + 101776*v**2 - 610629*v + 915930.\nAnswer: -(v - 101770)*(v - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 3, x: 5, n: 2}. Give prob of picking 1 f and 1 x.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 542864095 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: What is the next term in 54391, 108794, 163197, 217600, 272003?\nAnswer: 326406","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -2*n**2. Let c(l) = -4*l**2 + l**2 - 10*l**2. Calculate c(a(u)).\nAnswer: -52*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 118027 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1994943 divided by -2?\nAnswer: -1994943\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 18*r + 7. Suppose -4*b + 4*g - 5*g + 105 = 0, 4*b - 5*g - 75 = 0. Suppose -4*i - i = 5*k - b, -4*k + 13 = -3*i. Is j(k) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -2*((-32)\/304 + 36\/(-19)). Suppose 3*v + 2*o + 151 + 88 = 0, v + k*o + 63 = 0. Which is smaller: -85 or v?\nAnswer: -85","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 114 = -2*z, 0 = a - 5*a + 12. What are the prime factors of z?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6\/7*k**2 + 808\/7 - 1208\/7*k = 0. Calculate k.\nAnswer: -202, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15140 (base 10) to base 9.\nAnswer: 22682","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 127*y - 338*y + 5*y + (-4 + 4 - y)*(-1 - 5 + 0) to l*y + o and give l.\nAnswer: -200","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 131, -1004.76 in increasing order.\nAnswer: -1004.76, 3, 131","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -354 or -355?\nAnswer: -355","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 157?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.200000556 + -1.2. Round z to 7 decimal places.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i = -5*w + 55, 5422*i + 0*w + 0*w - 60 = 5428*i - 4*w for i.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -d - 9. Let c be p(-8). Let l be 1*((1 - c) + 2). Calculate the greatest common divisor of l and 44.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/3 greater than 4661?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:38 AM and 2:50 AM?\nAnswer: 132","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6 + -1. Suppose -4*v - 2*n - 785 = 573, w*v - n + 1708 = 0. Let g = v + 2065\/6. What is the common denominator of -73\/26 and g?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -131596315849*y**2 - 712 + 712 + 131596315853*y**2.\nAnswer: 4*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v**3 + 147569*v**2 + 44327968*v + 44180400 = 0. What is v?\nAnswer: -147268, -300, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1597, -3227, -4911, -6667, -8513?\nAnswer: -10467","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3324201?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 4677, 9355, 14033?\n\"Answer: 4678*w - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the second derivative of 3*k**2 + 7\/6*k**3 - 5*k + 0 + 1\/12*k**4. What is d(-4)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -71 + 72. Let r = 0.2 + -0.6. What is the closest to -2\/5 in r, -1, g?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 948, 1910, 2872, 3834, 4796, 5758?\nAnswer: 6720","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*i**2 - 42*i - 21*i**3 + 42*i - 12*i**3 wrt i?\nAnswer: -198","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 70? (a) -3 (b) 0.05 (c) -42\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -292205\/24 - -12178. What is the common denominator of -109\/24 and d?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 8*u**2 + 402*u + 81. Calculate y(-50).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2 - -1*(1 - 0). Let o be (6 - (-9)\/(-2))\/(4 + 2). Suppose 0 + 1\/4*f**2 + o*f**4 + 0*f - 1\/2*f**h = 0. Calculate f.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -u + 5*u - 3*r, -3*r = 4*u + 15. Solve s + 10*s - 55 = u for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 944?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 46 - 44. List the prime factors of t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-43)\/(-1*(-2)\/(-7)*(-651)\/186).\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 569171 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 12585303 + -12585316.103253. Let p = j - -0.101053. Let q = -13 - p. What is q rounded to three decimal places?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 235.08399 + -1291.00869. Let b = 1056 + k. Round b to 2 decimal places.\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.23 * -0.9\nAnswer: 0.207","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12.29 - -0.4.\nAnswer: 12.69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3\/9 + 1\/(-3). Let u be 450\/55 - (-2)\/(-11). Suppose z = -5*v + v + u. What is the remainder when 5 is divided by v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.04, -1, 46\/3?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (v - 4*v - 2*v)*(2*v - 33*v - 5*v)*(4 - 4 + 2*v).\nAnswer: 360*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that 3*u**5 - 267*u**4 + 6072*u**3 - 5808*u**2 = 0.\nAnswer: 0, 1, 44","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/8 in 0.2, -1, 0.5, -123?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -2*f + 1. Let l be 1\/(6 - 8 - -1). Let d(w) = w - 1. What is l*a(p) - 4*d(p)?\nAnswer: -2*p + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6605*f + 6387*f - 4616 - 180 for f.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -144*t = -147*t + 12. Suppose -r + 20 = -j, 2*r - 4*j - 44 = -t. Solve -4*d + 0*d = -4*i + 16, -2*d = -5*i + r for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3588 + -3675. Sort c, 2\/3, -0.7 in increasing order.\nAnswer: c, -0.7, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1657 + 2460. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-5 + 4 + 2)*(-2*i + 1 - 1) + 0 + 0 + 7*i)*(-13 + 29 - 43).\nAnswer: -135*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 406923 and 968?\nAnswer: 3255384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*n + 73405 = 413598. Is 11 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -229, 0, -13, 3, 27, 1 in decreasing order.\nAnswer: 27, 3, 1, 0, -13, -229","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3903*y + 1968*y + 608*y**2 + 1931*y to the form i + o*y**2 + s*y and give s.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 82 = -s + 4*f, 4*s = -3*f + 131. Suppose -39*l + s*l - 28 = 0. Let x(i) = -20*i - 21. What are the prime factors of x(l)?\nAnswer: 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(80))*1.\nAnswer: -1 + 4*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 176546620?\nAnswer: 2, 5, 23, 383797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 7*l - 117. Let m be z(27). Let g = 66 - m. Let f(s) = s**3 + 12*s**2 - 2*s + 1. Let o(w) = -w**2 - 1. Let h(n) = f(n) + 6*o(n). What is h(g)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the first derivative of x**3\/3 + x**2\/2 + x + 983. Let b(a) = -10*a**2 + 4*a + 4. What is b(u) - 4*i(u)?\nAnswer: -14*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 3*p + 4*k, 3*p = 4*k - 6 - 22. Let g be -4 + (1 + -1)\/p. Let j be (-8404)\/14 + g\/(-14). What is j rounded to the nearest 1000?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8067, 8129, 8301, 8583, 8975, 9477?\nAnswer: 10089","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 330 + -13323244?\nAnswer: -13322414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1162798, -0.2, 0.1, 3 in descending order.\nAnswer: 1162798, 3, 0.1, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in three fifths of a micrometer?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -z**3 + 65*z**2 - 1044*z - 79. What is q(29)?\nAnswer: -79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 80279157 to the nearest integer?\nAnswer: 431","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 95*(-2 - -1)*1. Let r = 105 + y. Solve z - 4*k + 17 = 0, -4*k + 10 = -r for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 731953*v**3 + v**2 - 34*v + 2973.\nAnswer: 4391718*v + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = b**3 - 96*b**2 - 101*b + 399. Suppose -2*s + 6 = 0, 41 = 2*n - 0*n + s. What is the remainder when n is divided by t(97)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 184*b**2 - 243*b.\nAnswer: 368","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 173 minutes after 9:09 PM?\nAnswer: 12:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that -3*s**3\/2 + 609*s**2 - 48216*s - 933504 = 0.\nAnswer: -16, 136, 286","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 203 is divided by 19?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 92*v - 93*v = 4*l + 327, 0 = -v + 5. Which is smaller: l or -82?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(425) + ((sqrt(425) - (sqrt(425) + 0)*4) + sqrt(425))**2 + 1.\nAnswer: 5*sqrt(17) + 1701","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = v**3 - 2*v. Let h be t(2). Suppose -5*z = -19 + h. Suppose -2*a + 4*a - 6 = z*m, -5*m = -2*a + 6. Solve 5*x - 5 - 5 = m for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = r**3 - 15*r**2 - 34*r - 10. Let g be o(17). What is the tens digit of 800 - (2 - 30\/g)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = p - 78, -p - 102 - 66 = 4*d. Let a = d + 49. What is the lowest common multiple of ((-1)\/(-3))\/((-11)\/(-363)) and a?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -9*o - 158. Calculate l(-19).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -2*m**2 - 8. Let y(s) = 56*s**2. Determine p(y(l)).\nAnswer: -6272*l**4 - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -86, -67, 60, 349, 854, 1629, 2728?\nAnswer: 4205","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1228 times -11?\nAnswer: 1.3508","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 148 + -135. Let c = 1113 - g. What is c rounded to the nearest 100?\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -63.72 + 0.72. Let z = -65 - i. Which is the smallest value? (a) -0.05 (b) -0.09 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 12 and 12\/(-7) + 2 - 1703\/(-91)?\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 8 = -4*w - 0, 3*w = j + 4. Let a(d) = -d**3 + 7*d**2 - 10*d - 2. Let p be a(j). What is the remainder when 87 is divided by p\/(-6) - (-308)\/21?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*n = 6*n + 16. Let j be 2\/10*35 - (n + 0). Solve -j*z - 13 = -4 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1651745?\nAnswer: 5, 23, 53, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*h**2 - h**2 - h**2)*(-2*h - 2*h + 3*h) - 69*h**3 + 22*h**3 + 22*h**3 - 320 + 24*h**3 as i*h + o*h**3 + g*h**2 + c and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_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: Find the second derivative of -247*m**4 + 69*m**3 - 114086*m - 1097 wrt m.\nAnswer: -2964*m**2 + 414*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*l + 6372 = 19416. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -444 (base 8) to base 3\nAnswer: -101211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (394 + 18*p - 394)*(-17 + 4 - 5)*(0 + 4 - 3 + (1 - 2 + 0)*(-2 + 2 + 1) - 1 + 0 + 2).\nAnswer: -324*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4\/7 (b) 0.5 (c) -189 (d) 40\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 17401704, 17401693, 17401682, 17401671, 17401660?\n\"Answer: -11*l + 17401715","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-5 + ((-5*sqrt(325) - sqrt(325)) + sqrt(325) + sqrt(325) - sqrt(325))).\nAnswer: -50*sqrt(13) - 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 481211327 is divided by 3796?\nAnswer: 3795","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) be the first derivative of -2*w**5\/5 - 13*w**4 - 2*w**3\/3 + 51*w**2\/2 - 19*w + 7782. What is the second derivative of a(k) wrt k?\nAnswer: -24*k**2 - 312*k - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2, -19461, 441, 0.3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that 2*q**3\/9 - 4688*q**2\/9 + 3657370*q\/9 - 949777684\/9 = 0.\nAnswer: 751, 842","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 167, 332, 497?\nAnswer: 662","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21 - (5 - (-39 - -12)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1089)*-3)\/(sqrt(432) + (sqrt(432) - sqrt(432)*1)).\nAnswer: -11*sqrt(3)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:44 AM and 7:39 PM?\nAnswer: 535","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 41004 and 24.\nAnswer: 82008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -10110101000101 (base 2) in base 8?\nAnswer: -26505","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -430, -443, -472, -523, -602?\nAnswer: -715","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f - 3*y = -5, 8 = -4*f - 1961*y + 1963*y for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(117) + 6*(sqrt(117) + -3*sqrt(117)) - sqrt(117)) + sqrt(117) - sqrt(117))\/(2*sqrt(144)))**2.\nAnswer: 117\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.4943 and -1129.\nAnswer: -1129.4943","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -6*o. Let k(b) = 67719*b. Determine m(k(y)).\nAnswer: -406314*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1977.7536 - -1891.753541. Let o = d + 86. What is o rounded to five dps?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0832134882 rounded to 3 decimal places?\nAnswer: 0.083","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 150 a factor of 7200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 3, q: 1, f: 7, x: 3, u: 1, b: 3}. Give prob of sequence qbf.\nAnswer: 7\/1632","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*b**3\/5 - 16*b**2\/5 + 42*b\/5 - 36\/5.\nAnswer: 2*(b - 3)**2*(b - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -102.76047 to 2 decimal places.\nAnswer: -102.76","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17665 divided by 5.\nAnswer: -3533","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 1, t: 1, v: 1, c: 1, z: 1}. Give prob of picking 1 t, 1 v, and 1 c.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**3 - 98*g**2 + 19113*g + 38610.\nAnswer: -(g - 99)*(g + 2)*(g + 195)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((2\/(-40))\/((-60)\/100))\/(-1). What is the smallest value in 0.4, r, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 5550537, 11101078, 16651619?\n\"Answer: 5550541*o - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 89135562 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the second derivative of 11*f**4\/12 - 1372*f. Let i(w) = -w**2 - 363*w. What is i(v(m))?\nAnswer: -121*m**4 - 3993*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 44880?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -187*q*u**3 - 6484*q - 14*u**3 wrt u.\nAnswer: -561*q*u**2 - 42*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -371 - -240. Is b != -129?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -510, -1864, -3218, -4572?\nAnswer: -5926","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) be the first derivative of -4*n**2 + n - 5. Suppose 1 + 7 = -x. Is s(x) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1450757 * 0.1\nAnswer: 145075.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -2*f + 54. Let r be c(16). Let j = 17 + -6. Let y be 2\/j + (-70)\/r. Sort -4, y, -5 in descending order.\nAnswer: y, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k**3 + 10*k**2 + 24*k + 142. Calculate x(-9).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1816 + 1816 - 156*u)*(-2*u**2 - u**2 + 2*u**2) as g*u + k + a*u**2 + h*u**3 and give h.\nAnswer: 156","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46*w + 325 = 71*w for w.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4.796 - -0.204. Let h = -0.02 + -1.98. Which is the nearest to h? (a) p (b) 0.5 (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -11\/54 in 2\/15, 1\/5, 6\/5, -4?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -70*l**2 - 7*l + 241*l**2 - 172*l**2. Suppose -2*k - 8 = 2*d, 3*k + d - 12 = 4*k. What is f(k)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -91216, -729870, -2463360, -5839102, -11404512?\nAnswer: -19707006","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -34 - (-33 - (9 - 20) - -41) - 16?\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 divided by -1?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 3*o - 1482 = 0, 16*o - 1484 = -4*c + 12*o. Calculate the highest common divisor of 41 and c.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 + -14 - -29) + -9 - 10?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 1, a: 4, n: 6, k: 1, y: 2, o: 1}. What is prob of sequence nkn?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 5*i**2 + i + 0*i - i**2 - 2*i**2. Calculate j(-2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51 = -10*q + 79 + 30 for q.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -65 + 36. Suppose -5*s + 106 = 45*d - 41*d, -5*s - 200 = -5*d. Let t = d + k. Solve 0 = t*g - 5 - 5 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/11? (a) 1\/8 (b) -3\/5 (c) -0.2 (d) 1 (e) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10953240.\nAnswer: 2, 3, 5, 97, 941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 3, i: 2, r: 1, g: 1}. Give prob of sequence iig.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 40743, 39323, 36957, 33645, 29387, 24183, 18033?\n\"Answer: -473*y**2 - y + 41217","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = -5*k + 6150003, 2459999 = 2*k + 3*h - 4*h. What is k rounded to the nearest one hundred thousand?\nAnswer: 1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -129*d - 91. Let b(z) = -74*z - 1. Give b(c(k)).\nAnswer: 9546*k + 6733","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2 + 1.9. Let v(d) = d + 4. Let c be v(-5). Let o = -10 - -9.5. What is the closest to 1 in c, i, o?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -31 + 30 + (-3 - 7)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/4 - 3\/(-14). Let u = 3.911 - -0.089. Let z = -1 + 1.2. What is the closest to -1 in z, g, u?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -76 + 78. Let f(b) = -4*b - 2 + 12*b - 3. Let w(q) = -1 - 2*q + 0*q + 4*q. What is p*f(a) - 9*w(a)?\nAnswer: -2*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 less than -68287461.49?\nAnswer: -68287461.79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5375740496 to the nearest integer?\nAnswer: 1752","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = -3*w - 3*l - 21, -3*w = -5*l - 8 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (5\/((-10)\/14))\/(-1). Suppose -k*y + 5*y = -4. What is the third derivative of 7*f**2 + 0*f**2 + y*f**2 - 5*f**6 wrt f?\nAnswer: -600*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(2) - sqrt(432)\/sqrt(6)).\nAnswer: -5*sqrt(2) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 127069 to the nearest integer?\nAnswer: 356","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:37 AM and 7:10 AM?\nAnswer: 153","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = d + 75, 2*d - 27 = 5*h + 70. Let t = h - -25. Let l(m) = 3*m**2 - 9*m - 4. Let j(f) = f**2 - f. Let y(c) = -2*j(c) + l(c). What is y(t)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3996 and 467046.\nAnswer: 34561404","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.5 and -0.580324.\nAnswer: -1.080324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5134.\nAnswer: 2, 17, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 16.4 + -16. Let g = -3.91 - 0.09. Put -0.1, g, 0, f in ascending order.\nAnswer: g, -0.1, 0, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q + 4*x + 223 = 229, 5*q + 5*x = 30 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/4 - 0)*(-48 - -46)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + -2*sqrt(1053) + 5 - (3 + (-5*sqrt(1053)*2 - sqrt(1053))))**2.\nAnswer: 324*sqrt(13) + 85297","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 117406 = 636789*z - 635540*z for z.\nAnswer: 94","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*p + 404*p**2 + 0*p + 313*p**2 - 715*p**2.\nAnswer: 2*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 331140368?\nAnswer: 2, 13, 163, 9767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3)\/5 - 178\/(-5). Suppose 27 + r = o. What are the prime factors of o\/5 - 2\/5?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 10e758d + 3?\nAnswer: 10e7590","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12841868 is divided by 76?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 2192019501 a multiple of 1253?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 5, g: 1, x: 5, d: 5, r: 4}. What is prob of sequence rm?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/(-12)*-2*(-510)\/34\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -26*p**5 + 742*p**3 - 69895*p?\nAnswer: -520*p**3 + 4452*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 7, 7\/9, -0.5, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 256 divided by 4\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ooo when three letters picked without replacement from oommoqqomoqm.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 4 + 2)*(32*j - 29*j + 87*j) to p*j + y and give p.\nAnswer: -90","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 15 + -36. Let u be 6\/(-21) + (-6)\/x. Suppose u = a - 2 - 11. Calculate the remainder when a is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 115070210 to the nearest integer?\nAnswer: 486","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1)\/(-2)*-1*16. Let c = 23 + -9. Let u = t + c. Does 3 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - (-3 - (2 - 8 - (-9 + -1)))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:17 PM and 2:50 AM?\nAnswer: 693","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = j**3 - 7*j**2 - j + 10. Suppose -45 = -5*m + 5*b, -539*m - 2*b = -538*m - 3. What is k(m)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000007013 to seven decimal places.\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + (-10)\/(-36) + 7\/14.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1429771940.2870005 - -1429772420. Let x = o - 479.613. Let g = 0.1 - x. What is g rounded to 7 decimal places?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s**2 - 7*s + 2. Suppose -2*t = 4*w - 20, -3*w + 2 = 2*t - 16. Give m(t).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 18, -25, -5, -47, 5, -4 in increasing order.\nAnswer: -47, -25, -5, -4, 5, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(((-48)\/(-3))\/176)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 5 - 4)*(-41 + 41 - 5*c)*(1 - 5 + 2).\nAnswer: -10*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-441*r**4 + 61*r**4 - 197*r**4)*(-r - 4*r + 4*r) + 2*r**5 - 3*r**5 - 4*r**5.\nAnswer: 572*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = h**2. Let k(z) = z**2 - 2. Let i be k(2). Suppose 7*n - 10 = i*n. Let j(c) = 2*c + n - 2. Determine j(p(l)).\nAnswer: 2*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -20000 + -2201?\nAnswer: -22201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 1001996?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2715 and 3781633.\nAnswer: 56724495","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -514000512*o**4 + 738453773*o?\nAnswer: -6168006144*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -3*u**3 - 654*u**2 + 53141*u + 53787. Let f(s) = -2*s**3 - 327*s**2 + 26571*s + 26893. Let n(j) = -10*f(j) + 6*t(j). Factor n(d).\nAnswer: 2*(d - 164)**2*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -9 - -15. Let t(a) = a**3 - 4*a**2 - 9*a + 9. Let h be t(j). Suppose -h = -2*r - 3. List the prime factors of r.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-8)\/6 + 404\/909*12\/(-8). Let p = 7 - 8.5. Sort k, -1\/5, 4, p in increasing order.\nAnswer: k, p, -1\/5, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -q**3 + 8*q**2 - 2*q + 6. Let w be z(8). Let r(k) = k**2 - 5*k + 6. What is the remainder when 136\/(-10)*w\/4 is divided by r(6)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(1 + sqrt(300))**2.\nAnswer: 20*sqrt(3) + 301","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 17780 and 91720.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 40947149 is divided by 20473520.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*l + 1452 = 41*l. Calculate the greatest common divisor of 99 and l.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.033 and -14?\nAnswer: -0.462","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 348517?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -59, -53, -35, 1, 61, 151, 277, 445?\nAnswer: 661","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*-1*sqrt(528))\/(sqrt(243) - sqrt(243)*2*-6).\nAnswer: -4*sqrt(11)\/117","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -7 + 3 - -3 - -10. Is (6\/x)\/((-4)\/(-1422)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -39\/65708 + -7200217\/5092370. Let s = -27\/20 - z. Which is bigger: 1 or s?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4 + 0\/(-2) + 112. Calculate the highest common factor of w and 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 2*l**3 + 5*l**2 - 3*l - 2. What is the tens digit of c(3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.3 (b) -10 (c) -2\/81 (d) 4 (e) 0.6 (f) 6 (g) -0.08\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-15*c + 13*c - 33*c)*(-2 + 2 - c)*(-3*c + c + 0*c + (4*c - 3*c - 3*c)*(-3 + 0 + 1) - 1 + c + 1 - 2*c + 2 - 2 - 6*c - 13*c + 7*c).\nAnswer: -385*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*a + 0*a - 3*a)*(1 + 2 + 1) to the form b + o*a and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.0349 and -0.4?\nAnswer: -0.01396","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 231.7 - 252. Let q = -19 - j. Which is the third smallest value? (a) q (b) -5 (c) 5\/2 (d) 1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -18 + (16 - 13) - -9?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 43180 by -2540.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n - 32 = -2*w - 3*n, -3*w + 34 = n. Let x be (-9)\/w*(-2)\/(-3). What is the second biggest value in 7\/4, x, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 48\/39859 and 38\/119577.\nAnswer: 119577","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.037963 and -2.\nAnswer: -0.075926","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 1, u: 1, c: 9}. What is prob of picking 2 c and 1 h?\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.059552 * 0.033.\nAnswer: 0.001965216","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 4*d + 340. Calculate v(-90).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 8, y: 5, r: 4}. Give prob of picking 1 p and 2 y.\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 134, 209, 284, 365, 458, 569, 704?\n\"Answer: x**3 - 6*x**2 + 86*x + 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -2809 from -18632675.\nAnswer: -18629866","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the second derivative of 2*v**4\/3 - 17*v**3\/6 - 10*v**2 - 38*v - 1. Let k(a) = 3*a**2 - 6*a - 7. Give 11*k(z) - 4*s(z).\nAnswer: z**2 + 2*z + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21 - 17 - (0 - 4641\/3)?\nAnswer: 3, 11, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.51529ng in micrograms?\nAnswer: 0.00051529","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 524785707 to the nearest integer?\nAnswer: 22908","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3602016 (base 7) to base 15.\nAnswer: -8e9e3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1321 - 1316. What is the fourth smallest value in 0.3, t, 4, 0.2, 24?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 198*i - 106 = 2*k + 197*i, -3*k - 145 = 2*i. Suppose -2*y = 2*y + 20, -4*v + 3*y = -15. Put -1, 5, k, v in decreasing order.\nAnswer: 5, v, -1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(((sqrt(272) - (-6*(0 + sqrt(272)) - sqrt(272))) + -2)**2 - 4*(sqrt(272) - -1*(2*sqrt(272))**2)).\nAnswer: -78360 + 864*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:43 PM and 1:23 AM?\nAnswer: 700","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7 - -11. Suppose z*j + 8 = -12. Let g(c) = -c**3 + 3*c**2 - 4*c + 2. Let s be g(2). What is the smallest value in -4, j, s?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 3*v**2 - 121*v + 353. What is d(3)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 13201010113 + 0?\nAnswer: 13201010113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 19, 45, 73, 103, 135?\nAnswer: 169","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vevveeveveev. What is prob of sequence vvv?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1022217.\nAnswer: 3, 7, 48677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 201*s - 255. Let j be y(3). Calculate the greatest common divisor of j and 48.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:31 PM and 4:24 AM?\nAnswer: 473","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4*6\/(-9))\/((-677)\/2031)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17 is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 206763424 take away 562181?\nAnswer: 206201243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h = -4*a + 248, 3*a + 7516 = 648*h - 33962 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 6\/((-2 + 4)*1). Suppose 3*y - s - 14 = -2*y, -z*y = s - 10. Which is the closest to 1? (a) -5 (b) y (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7842 - 39141\/5. Is f > 13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 + -22883665286.\nAnswer: -22883665286.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f + 6 = 3*s, -3*f = -f + 2*s - 8 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 1274, 2528, 3782, 5036?\n\"Answer: 1254*f + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - 21*10\/(-60)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 71\/4 of a microsecond in nanoseconds?\nAnswer: 17750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*d**3 + 772*d**2 - 1550*d + 776.\nAnswer: 2*(d - 1)**2*(d + 388)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -5, -5.1, 0.07?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is b8a5c + -8?\nAnswer: b8a54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -75 - 177*y + 42 + 172*y + 33.\nAnswer: -5*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) 2090 (b) -3\/5 (c) -6.69\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -17, -2, 3 in increasing order.\nAnswer: -17, -3, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(7\/4)*s)**(10\/9) assuming s is positive.\nAnswer: s**(55\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -25784497 - -64951146657\/2519. Let r = f + -8\/229. Which is the closest to 1\/13? (a) r (b) -3 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1172*f + 4134 = -1013*f for f.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2748 - 2730. What is the highest common factor of 1098 and m?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2413\/4 - 12227\/20. Find the common denominator of g and ((-4)\/(-12))\/(2\/20).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 687246422?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 1, z: 1, k: 5, q: 1, b: 4, c: 3}. What is prob of picking 2 k and 2 z?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 508*n**3 - 2*n**2 + 13*n - 74. What is the ten thousands digit of q(4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3155.414971815 + -3245.8149743. Let r = -90.4 - m. What is r rounded to seven dps?\nAnswer: 0.0000025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 17 divided by -1\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 12735, 13281, 14191, 15465?\n\"Answer: 182*g**2 + 12553","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 38861923 to the nearest integer?\nAnswer: 6234","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = d**2 + 3*d - 2. Let t = -2 + 0. What is h(t)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-3199)\/21)\/((-5)\/45).\nAnswer: 3, 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1730783 is divided by 192307?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 29850.486 months?\nAnswer: 2.4875405","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = u**3 - 51*u**2 - 738*u + 37463. Calculate c(51).\nAnswer: -175","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-15)\/(-2))\/3*(-32)\/40?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/x**(1\/10))\/(x*x**(-1\/3)*x*x*x*x))\/(x*x**0)**22 assuming x is positive.\nAnswer: x**(-773\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -1042*a - 3*a**2 - 230*a - 2*a**3 - 3 + 3 as j + q*a + d*a**3 + r*a**2 and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dtootddo. Give prob of sequence dood.\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -50 and 19944?\nAnswer: 19994","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2946248, 2, 1.\nAnswer: -2946248, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -47.0287 + 47.1. Let n = 0.0287 + k. Which is smaller: n or 126?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (56\/(-70))\/((-3)\/(-60)). Let n = r - -33. Are -1\/4 and n non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = l + 1, -4*g + 5*g - 156 = l. Let v = 165 - g. Solve 2*n - 5*h + v = 45, -3*n + 35 = -4*h for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -186*y**5 + 270*y**4 - y**3 + 20406193*y.\nAnswer: -3720*y**3 + 3240*y**2 - 6*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 100 + 10?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 1 - 2 = -4*b, -b = -2*r - 17. Suppose -2*q = -3 - b. What is the remainder when 8 is divided by q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-266412)\/4*(-2)\/6 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 18\/5 of a millennium?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 783436.05 rounded to the nearest ten thousand?\nAnswer: 780000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*u = -4 - 76. Suppose -3*o - o + u = x, 3*o - 11 = x. Let b(y) = -17*y + 15*y - 2*y**2 + 0*y**3 - 3*y**3. What is b(x)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -166*a**3 + 6391*a**2 - 2672*a**2 - 3719*a**2.\nAnswer: -166*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 + -0.291119\nAnswer: -0.191119","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = g**2 - 6*g. Let i = 16 + -2. Let o = i - 8. Give s(o).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5020 (base 6) in base 12?\nAnswer: 770","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-3)\/(-5)*-1 + 30981888\/1680?\nAnswer: 3, 683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 6642126, 13284296, 19926466?\n\"Answer: 6642170*g - 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -272644 - 4.\nAnswer: -272648","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3567118l in millilitres?\nAnswer: 356.7118","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 10 and 710.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nc when two letters picked without replacement from nngcnwnnw?\nAnswer: 5\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = x - 3. Let t(a) = 5*a + 6. Let b(r) = 6*r + 13. Let z(g) = 12*g + 25. Let y(f) = -11*b(f) + 6*z(f). Let q(n) = 7*t(n) - 6*y(n). Determine k(q(j)).\nAnswer: -j - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 5*l + 1. Let h be t(1). Is (12\/(-18))\/(h\/(-4239)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 288 and 213504.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(245) + -5*2*sqrt(5) - (3 + sqrt(125) + 0 + 4)**2.\nAnswer: -87*sqrt(5) - 174","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 2*t**2 + 2*t - 2. Let q be 6\/4*(2 + (-10)\/3). Let m be w(q). Solve -4 = -i + 4*x, 2*i = 3*x - 4 + m for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z + 5 = -29*w + 28*w, 20 = -z + 5*w for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 z when two letters picked without replacement from zyyzreerisee.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2108\/13 - -162. Which is the nearest to t? (a) -5 (b) -0.2 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -164 or -188?\nAnswer: -188","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 5\/9, 5, -5, 2, -2\/3 in decreasing order.\nAnswer: 5, 2, 5\/9, -2\/3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (2*(-6)\/(-20))\/(5\/25). Solve 0 = 32*o - 34*o + b*a - 8, 4*o = -3*a - 16 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.492179103 rounded to two decimal places?\nAnswer: -0.49","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q + 2*q - 8 = 0. Suppose q*w + 5 = 3*t, -t - 4*w - 26 = -1. Let i = -0.004818 - -4.004818. What is the second smallest value in 1, t, i, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -89*r. Suppose -4*o - o - 10 = -5*a, 0 = -2*a - 4*o + 4. Let u(z) = -z**a - 4050*z + 4050*z. What is u(m(w))?\nAnswer: -7921*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1.1 - -60.1. Let r = n - 57. Is r less than -1\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 3*p**2 - 2*p + 2. Let x(i) = 4*i**2 - 3*i + 3. Let q(s) = 3*t(s) - 2*x(s). Let h(f) = 0*f + 0*f - 2*f + f. Give q(h(l)).\nAnswer: l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-1\/7))**(-4\/11))**(-1) assuming j is positive.\nAnswer: j**(-4\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -366.7 - -366.8. Which is the nearest to 3\/5? (a) 32 (b) v (c) 2\/5 (d) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3.04 - -3. Let k = y - -9.04. Let w = k + -9.05. Which is smaller: 2\/5 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -31, -315, 2, 0 in decreasing order.\nAnswer: 2, 0, -31, -315","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 45 = -3*b, -b - 6*c = -9*c - 9. Put 2\/13, b, -1\/2 in increasing order.\nAnswer: -1\/2, 2\/13, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -3*z + 2*m, -2*m = 2*m - 20. Factor 2\/7*c**2 + z*c + 0 - 2\/7*c**3.\nAnswer: -2*c**2*(c - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 15, 20, 15, -6, -49, -120?\nAnswer: -225","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -94*d - 3. What is the tens digit of y(-2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (22*w + 30*w + 47*w)*(4*w - w - w)*(w - 2 + 2) as k*w**2 + a*w**3 + n + h*w and give a.\nAnswer: 198","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 240025 + 1?\nAnswer: 240030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -5*s**2 - 3*s. Let b be g(-2). Let f = -9 - b. Solve -z + 2 = f for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1675760461 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c**0)**(1\/8)*(c\/((c\/c**1)\/c))**(-2\/11)*(c**(-2\/5)\/c)\/(c\/(c\/c**(-2\/5)))*((c\/(c*c**(-3)*c))\/c)\/(c*c*c**(-2)) assuming c is positive.\nAnswer: c**(-21\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4 - -2. Let r be (-28)\/(-8) - (-1)\/p. Suppose -4*d = -6*d + r*k + 19, 5*d = -k + 5. What are the prime factors of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 14256 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 8415079 and 391?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = l**2 + l - 9. Let k be z(-3). Which is greater: -5 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -22*u**2 + 34*u + 246. Calculate p(-4).\nAnswer: -242","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = o - 2. Let x(l) = l - 2. Let n = -41 - -62. Let h be 597\/n - -2 - 6\/14. Let z be (90\/3)\/3*(-12)\/h. Calculate z*w(u) + 3*x(u).\nAnswer: -u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = r**2 + 8*r + 6. Calculate b(-8).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 7162.977 micrograms in tonnes?\nAnswer: 0.000000007162977","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1693134?\nAnswer: 2, 3, 94063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - j)*(0*j + 2*j**3 + 0*j) + 301*j**4 - 732*j**3 + 732*j**3.\nAnswer: 299*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dnzdrddnrzddddzzrdr. What is prob of picking 2 d and 1 n?\nAnswer: 24\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 smaller than 103347?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 142042880?\nAnswer: 2, 5, 7, 83, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 + 5 = -5*q, 0 = 2*i + 2*q - 150. Suppose -l - 2*a - 13 = -2*l, 2*a = -5*l + i. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yqyqqqy. Give prob of picking 3 y and 1 q.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 7 - (1 + 1\/(1\/2)). Let v be (-1)\/((z - 0)\/(-996)). Suppose 2*d - 2*w - v = -3*d, -5*d + 4*w + 243 = 0. Is d a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2739325?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hey when three letters picked without replacement from {y: 2, h: 1, n: 1, e: 11}?\nAnswer: 11\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 5*s + 2*s. Solve 4*q = 2*d - 20, s*d + 3*d = 4*q + 32 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 18*y**3 + 4 + 0 - 3*y**4 - y**2 + 23*y**3 - 3 - 43*y**3 + y to w + c*y**2 + t*y**3 + p*y + h*y**4 and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -133\/220 and -127\/220.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -742*m. Let j(u) = -110*u**2 + 23*u**2 + 33*u**2 + 30*u**2 + 27*u**2. Determine j(n(k)).\nAnswer: 1651692*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/269, 729589, -3 in increasing order.\nAnswer: -3, -2\/269, 729589","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 492969?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 7 - (2 - 0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 207 + (-2 - -2) - -2. Suppose -23*y + 42*y + 2394 = 0. Let f = y + k. List the prime factors of f.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (119\/2618)\/((-1)\/4)\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1359 (base 10) in base 12?\nAnswer: -953","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that -c**3\/2 - 4377*c**2 - 8717982*c + 3850191140 = 0.\nAnswer: -4562, 370","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 2 + 0)*(-3 - h**2 + 3) - h + h - h**2.\nAnswer: h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -95*q + 5268. Let d(b) = b + 6. Calculate the remainder when p(53) is divided by d(10).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -51888, 4, 11 in descending order.\nAnswer: 11, 4, -51888","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 932700403 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1595 and 59334.\nAnswer: 296670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = h**2 - 3*h + 21. What is n(-8)?\nAnswer: 109","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -263 times -0.997\nAnswer: 262.211","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 2\/9, 3, 0, -69, 2\/11, 7\/2, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-8 - -7 - 11) + 7\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w - 4. Suppose 5*l - 5*m - 35 = 0, 3*l + 3*m + 3 = 12. Let s be c(l). Suppose 7 = -4*v - s. Which is smaller: v or -1?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0\/8*(-2)\/2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.083 - -0.5660085766\nAnswer: 0.6490085766","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 31? (a) 0.5 (b) 2 (c) 1\/4 (d) -2 (e) 0 (f) -329\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (72 + 6 + 67)*(0 + 0 + 2*r) in the form t + g*r and give g.\nAnswer: 290","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -15*w**2 + 1066*w + 22438. What is s(-17)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -u**3 + 14*u**2 + 32*u - 20. Let f be z(-8). Are 1133 and f equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*f - 9 - 9. List the prime factors of (-4 + f)\/(2\/21).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -289367 and 25.\nAnswer: -7234175","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2268193*i**4 + 2*i - 345466?\nAnswer: -27218316*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -2811528 divided by -8\nAnswer: 351441","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*sqrt(4200)*2*2)\/(1*sqrt(6)*2 + sqrt(54)\/(-2*sqrt(9))))**2*6.\nAnswer: 1075200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 2, w: 2}. What is prob of sequence wwl?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = a - 4 - 6*a - 3 + 4*a. Let t be v(-10). Let 0 + 0*j + 2\/3*j**4 - 2\/3*j**2 - 2\/3*j**5 + 2\/3*j**t = 0. Calculate j.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21777 (base 8) in base 11?\nAnswer: 6a18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 37\/4, 2, -116 in decreasing order.\nAnswer: 37\/4, 2, -116","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -25*z. Let b(g) = -12*g - 65. Calculate b(v(a)).\nAnswer: 300*a - 65","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1 + 5. Suppose 2*r - 8 = -d. Suppose 0 = -u - 3*u + 20. Solve r = u*g + 6 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 11245 or 11266?\nAnswer: 11266","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = 2*m - 2, 3*a - 5 = 7. Let g(s) = -s**2 + s + 3. Let o be g(3). Let k be (2 + o)*99*-1. Calculate the greatest common factor of k and m.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 583 + -586. Sort -104, b, 3 in increasing order.\nAnswer: -104, b, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (4*(5 + -5 + sqrt(243)*2 + -2))**2 + -2 + -1.\nAnswer: -1152*sqrt(3) + 15613","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = 9*k - 13*k + 280, -5*z - 197 = -3*k. Solve 0 = 57*v - k*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 26571238 to the nearest integer?\nAnswer: 5155","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4\/1357 - -5416\/4071. Suppose -2*u + 4 = -6*u. Which is the nearest to u? (a) -7 (b) -0.5 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 17768099 to the nearest integer?\nAnswer: 4215","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 16\/21 greater than 1936?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 8, w: 8, m: 1}. Give prob of picking 1 m and 2 w.\nAnswer: 7\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 232032?\nAnswer: 2, 3, 2417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*s - s + 4. Suppose -1 = 3*f + 2*x, -5*f + s*x = -14 - 21. What is the units digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56 = -2*x + 10*x. Calculate the remainder when 24 is divided by x.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -3*(-16)\/3 + -4. Let a = -10 + p. Solve -a*f = j - 6, -1 = j - 6*f + f for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -16447, -14591, -12735, -10879, -9023, -7167?\n\"Answer: 1856*u - 18303","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = 4*x + 10, 0 = 3*x - 4*a + 2 + 18. Suppose -6 = 3*c, 3*s + c + 2*c = x. Solve -5*w - 16 = -s*b, -4*b + w = -2*b - 8 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -3*y + 5*y - 2*y**2 - 2*y. Let z(r) be the third derivative of -r**5\/20 + 3*r**2 + 5. What is z(n(m))?\nAnswer: -12*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 202 minutes after 3:11 AM?\nAnswer: 6:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -9*5\/30*(39\/9 - 3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47*j + 51*j + 36 = 0. Sort j, -3, -5 in decreasing order.\nAnswer: -3, -5, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -138.87 * -23.5.\nAnswer: 3263.445","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - 7) + 2 - (35 + -47 - -9)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 108260 to the nearest 1000.\nAnswer: 108000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 181520 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 52*p - 21. Let d(h) = 18*h - 7. Let i(v) = -17*d(v) + 6*m(v). Let a be i(2). Calculate the highest common divisor of 5 and a.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8 + (-2 + -4 - -11) + -3\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*l + 18\/7*l**3 - 12\/7*l**4 + 12\/7*l**2 + 0.\nAnswer: -6*l**2*(l - 2)*(2*l + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 185 minutes before 10:58 AM?\nAnswer: 7:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 4*u - 2. Let o(m) = -5*m**2 - 2*m - m**u + 2*m. Let h(f) = f. Calculate h(o(y)).\nAnswer: -6*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -w**3 + w + 26. What is the units digit of c(0)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 26, 109, 374, 911, 1810, 3161, 5054, 7579?\nAnswer: 10826","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ieiieieeeeie. What is prob of picking 1 i and 3 e?\nAnswer: 35\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 77 + 1102?\nAnswer: 1201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 52\/140157 and -35\/96.\nAnswer: 4485024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 u when two letters picked without replacement from {g: 1, x: 2, u: 1, b: 4, e: 9}.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3880 and 7372?\nAnswer: 73720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -13 + 12.9. Let m = 2.4 - 2.9. Which is the third biggest value? (a) l (b) 0.3 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 138 is divided by 47.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that -230*t**3 + 75*t**4 + 640*t + 66*t**5 - 265 - 480*t**2 - 71*t**5 + 265 = 0.\nAnswer: -2, 0, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1006610 * 4.\nAnswer: -4026440","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand x**5 - 2*x**5 + 2*x**5 - 3*x + 2*x**5 + 3*x + (2*x - 4*x + x)*(2*x**4 + x**4 - 4*x**4) - 155*x**5 + 85*x - 85*x + 4*x + x**5 - 4*x.\nAnswer: -150*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*c**3 - 4*c**3 + 4*c**3 + 2706*c**2 - 2706*c**2.\nAnswer: -4*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = 8*a + 4*v, 25*a + 35*a - 56*a + 2 = -v for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4 + (-3)\/(9\/(-6)). Is t at most 6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 102*f + 7*f + 17*f + 82*f as n + s*f and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -110221000122 (base 3) to base 12\nAnswer: -1032b2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (107*f - 77*f - 46*f - 84)*(f**2 - f**2 + f**2).\nAnswer: -16*f**3 - 84*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 55 - 8 = 0. What is the greatest common factor of w and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 31499 and 156?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from whkkwhhqhgrhkwhrrh. Give prob of picking 1 q, 1 r, 1 w, and 1 k.\nAnswer: 3\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -190 - -293. What is the hundreds digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + (18 - (6 - -20))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the first derivative of r**3\/3 - r**2 - 5*r + 1. Determine f(5).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 4*u - 9. Suppose -11 = -p - 4*b, -4*p = -7*p - u*b + 43. Solve 2*v = c - 4, -2*c = 3*v + p - 2 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2069\/26175 - -1\/1047. Let s = 8 + -3. What is the third biggest value in s, a, -3\/2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.05? (a) 2 (b) 3.3 (c) -0.03\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27301 is divided by 7632.\nAnswer: 4405","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 130 (b) -3 (c) 13 (d) -1 (e) -4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = c + 1. Let l be i(4). Solve -h = l*z + 2*h - 9, -6 = -4*z - 2*h for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -27 - -30. Factor -8 + 12 + 2*c**2 + h*c**2 - c**2 + 8*c.\nAnswer: 4*(c + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -33*v - 494 - 133 for v.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -4814, -0.4, -1 in ascending order.\nAnswer: -4814, -5, -1, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -j - 4*o - 1, 3*o = -3*j + 3. Solve 0 = 3*c - j*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -1.1633, -4, 25, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 13 + -11. Let z = c + 2. What is the closest to -2\/3 in 3, 2, z?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 83042101 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26677201.\nAnswer: 26677201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -112990 in -1\/7, 1, -70\/11?\nAnswer: -70\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 595 minutes before 2:04 PM?\nAnswer: 4:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-3)\/2)\/(-4 - (-25360)\/64). Is 0.2 bigger than m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2 and 1408785?\nAnswer: 2817570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-55)\/165)\/((1*2)\/(-6)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -56*f - 8 = -54*f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3158358625?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, a: 1, g: 1, y: 1, i: 5, x: 5}. What is prob of sequence iy?\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/(-45)*-4*(-630)\/(-168)*(-96)\/60?\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 59*c**2*u*w**2 - 3*c**2 - 2*c*u*w**3 + 2*u*w**3 - 370*u with respect to c.\nAnswer: 118*c*u*w**2 - 6*c - 2*u*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.4093 or -0.14?\nAnswer: -0.4093","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 173\/14910 and -56\/3.\nAnswer: 14910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1097 + 1098. Which is the smallest value? (a) 2\/211 (b) 2 (c) -1\/6 (d) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -4*o**2 + 0*o**2 + 3 + o**2 - 7. Let c(k) = -12*k**2 - 15. Let b(t) = 4*c(t) - 15*z(t). Let j(h) = 2*h**2. Give j(b(q)).\nAnswer: 18*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.13 in 1\/4, 516.6, 127?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2190*q - 37782 - 54198 = 0 for q.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 271 + -97. Suppose -q = 8*o - 10*o. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(24) + -3*sqrt(384))\/(sqrt(84)\/(sqrt(28)\/sqrt(4))))**2.\nAnswer: 6050","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.1 (b) -0.4 (c) -6 (d) -0.143\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/10 + (-63)\/(-90)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -2 + 40\/18 + (-295)\/(-9). Let h = 38 - r. Solve 0 = 5*c + h*t - 15, -9 = -2*c - 3*t - 0 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-20)\/21 - 8\/(-28). Which is the nearest to 0.01? (a) 1 (b) -0.1 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 10*a - 18. Let v be m(3). Solve v*f + 65 = 5 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = o**2 - 2*o**3 - 2*o**3 + 4*o**3 + o**3 - o + 1. Let j be f(-2). What are the prime factors of j + (-6)\/3 + 12?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -26 - -31. Let d(c) = -c**2 - 6*c + 320. Let q be d(-21). Solve l + 5 = k*x - 6, 0 = -2*l + q*x - 12 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 675 and 150?\nAnswer: 1350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 45\/(-5) + ((-2)\/2 - -5). Let n = -17.4 - -17. What is the closest to r in 2, 0.01, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 90095, 90096, 90097, 90098, 90099?\nAnswer: 90100","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -2*a. Let p(z) = 303 - 303 - 8*z. Give d(p(q)).\nAnswer: 16*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x - 3*h + 3 = 0, 4*x - h = 2*h - 3 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 39*h - 53*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 543.\nAnswer: 3, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t**2 - 570*t + 2775 = 0.\nAnswer: 5, 185","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -598448 and -0.2?\nAnswer: 119689.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1 + 1236064?\nAnswer: 1236063","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 10 + 6. Suppose 5*d = -v + a, 3 + 0 = 3*v. Is d even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 4*p + 4. Give n(-2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2 and 0.084.\nAnswer: 0.168","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1970168 is divided by 1452.\nAnswer: 1256","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 3*x = 9, 5*s - 6*x - 20 = -x. Suppose 3*h - 2 - 8 = -4*u, h + 6 = u. Which is smaller: s or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 2721 = -1919. What is the hundreds digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3.49 in -2, 1\/10, -3\/449?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 2425859004 + 14\nAnswer: 2425859018","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8604352 is divided by 30297.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3 + ((-4)\/(-14) - 46\/14). Suppose -4450 = -5*a - m*a + 5*t, -4*a + 3566 = -2*t. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 299280 and 688.\nAnswer: 688","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 117*y - 26*y**2 - 117*y + 10*y**2.\nAnswer: -16*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -3561, -3563, -3615, -3723, -3893, -4131, -4443, -4835?\n\"Answer: -d**3 - 19*d**2 + 62*d - 3603","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*j - 1 + 8*j + 6*j.\nAnswer: 3*j - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 672 = -6*q. 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: Put -43.7, -0.06, -2 in descending order.\nAnswer: -0.06, -2, -43.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3251299470?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 132 (base 4) to base 16\nAnswer: 1e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2475685 + -2318?\nAnswer: -2318.2475685","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(16)\/(5*(sqrt(8) - sqrt(32) - sqrt(8)))*1 + 5).\nAnswer: -3*sqrt(2)\/5 + 30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -2 (b) -7\/4 (c) 13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the third derivative of -59 - 5\/24*i**4 - 1\/240*i**6 - i**2 + 0*i + 0*i**3 + 7\/120*i**5. Determine w so that h(w) = 0.\nAnswer: 0, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 459\/243*-9 - (-10196)\/600.\nAnswer: -1\/150","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/7 in -3\/4, 6, -0.2, 12\/5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwcnwnncew. What is prob of sequence cn?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 462811 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 7 * -8\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/23, 4\/9, 1, -2\/665, 266?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 128 is divided by 20?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 3 l when four letters picked without replacement from {l: 5, x: 8}.\nAnswer: 16\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1*3 + (0 - -5). Which is greater: 1 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 8.241163l?\nAnswer: 8241.163","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-30)\/(-100) + (-134)\/(-20) is divided by 7.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 521 + 3769*o**2 + 516 - 1038 + 283*o**2.\nAnswer: 4052*o**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5 + 7. Suppose -o + 5 = w. Let s(b) = 82 - 169 + 7*b**2 + 85 - 8*b**2 + 4*b. Determine s(o).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is d in -2*d**4 - 36*d**3 + 728*d**2 - 2364*d + 1674 = 0?\nAnswer: -31, 1, 3, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 4 = -11. Let l be (5\/10)\/(2\/16). Suppose 0 = -s*x + 2 + l. What is the highest common divisor of x and 8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1912993 + -946700. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 501 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 61035251 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:35 PM and 2:25 AM?\nAnswer: 710","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27307396?\nAnswer: 2, 6826849","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -2*o - 5. Let t be d(-4). Suppose -2*w - 5*c - 22 = -9, -t*c - 8 = w. Let j be 1*2\/2 + w. Solve f = -j*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 202\/99 - 20\/11. Which is the third biggest value? (a) w (b) -2\/9 (c) -48\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**1)**(14\/5)*t**(-4)\/(t\/t**(2\/7)))\/((t\/(t\/(((t*t**(2\/3))\/t)\/t*t)))**(-2\/33)*(t**(2\/3)*t)**(3\/32)) assuming t is positive.\nAnswer: t**(-225101\/110880)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*v + v + 3*v)*((v + 5 - 5)*(5 - 5 - 6*v) + (-2*v + 5*v - 2*v)*(3*v + 3 - 3)) as d + o*v**3 + q*v**2 + b*v and give o.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2613607, -10454443, -23522505, -41817793?\nAnswer: -65340307","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 105717056 to the nearest integer?\nAnswer: 10282","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 368424 to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -113, 0, -1, -5, -2 in descending order.\nAnswer: 0, -1, -2, -5, -113","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = -3*m - 81, 55 - 2 = t - 4*m. Calculate the remainder when t is divided by 18.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 22 + -41. Let y = 18.99999958 + g. What is y rounded to seven decimal places?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -183 divided by -52993.\nAnswer: 183\/52993","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*t - 4*p + 136 = -7*t, -2*t - p + 69 = 0. What is the greatest common factor of 5 and t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-2202)\/(-10) + ((-27)\/(-15))\/(-9) is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 40*r**2*u**2 + 4*r**2*u - r*u**2 + 743250*r + 70*u**2 wrt u?\nAnswer: 80*r**2 - 2*r + 140","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(3 + -3 + sqrt(192) + 0 + (sqrt(192) + -1 + 1 - (sqrt(192) + -1*sqrt(192) + sqrt(192) + -1)))**2.\nAnswer: 80*sqrt(3) + 965","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(2\/5)\/(k*k**(1\/2)*k))**(-3\/14))**(-30) assuming k is positive.\nAnswer: k**(-27\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 26879073 to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 5, -0.3, -4, 5\/2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 2871*n**3 + 1386*n**2. Let b(a) = 151*a**3 + 73*a**2. Let u(d) = -77*b(d) + 4*j(d). What is the third derivative of u(f) wrt f?\nAnswer: -858","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 192 = v + 4*j, 0 = -v - 5*j + 28. Suppose 2*a = 3*c - 86, -4*a + 50 = -4*c + 166. Calculate the remainder when v is divided by c.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32205401 (base 6) in base 8?\nAnswer: 3477211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 304411463?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -5*(5\/((-45)\/4))\/((-285)\/(-342))\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22634324 is divided by 638?\nAnswer: 636","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (85*j - 87*j + 8*j**2 + 6*j**2)*(-25*j**3 - 7 + 7).\nAnswer: -350*j**5 + 50*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -1001551 (base 6) in base 10?\nAnswer: -47083","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:12 AM and 11:28 AM?\nAnswer: 76","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0003582562 rounded to six dps?\nAnswer: 0.000358","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -399 smaller than -400?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 619246 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in -237, -2, 1\/3, 0.5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in sixteen sevenths of a week?\nAnswer: 384","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -64\/3 in 3, -0.4, -0.2, 13\/6?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3036493.\nAnswer: 419, 7247","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -201310*f - 276136?\nAnswer: -201310","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 1\/4*(-6 + 300\/40)\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 104 - 86.1. Let y = 17 - u. Let x = 0.4 + y. What is the second biggest value in x, -3, 0.1?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8 + 6 + -5 - (0 + 1)) + (-204 - -62).\nAnswer: -134","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -417304 divided by 104326?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 62228 divided by -1324.\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/(77\/(-56)) + 12 + 8?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 + 2)*(32 - 51*u - 32)*(-u + 5 - 5).\nAnswer: 204*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1014 or 1015?\nAnswer: 1014","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43*z - 4 = -2*w + 41*z, 4 = -w + 5*z for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the first derivative of -1\/180*n**6 + 0*n + 0*n**2 + 1\/12*n**4 + 0*n**5 + 1 - n**3. Let k(q) be the third derivative of f(q). What is y in k(y) = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 64.5 - 30. Let w = 26 - i. Let h = w - -9.4. Round h to zero dps.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 86265?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 10 = g, 2*g - 8 = -4. Let l(q) be the second derivative of 1\/36*q**4 + 0 - 1\/30*q**5 + 0*q**3 + 1\/90*q**6 - r*q + 0*q**2. What is i in l(i) = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -62+2.7116889\nAnswer: -59.2883111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 502, 2610, 6110, 11008, 17310, 25022, 34150, 44700?\n\"Answer: z**3 + 690*z**2 + 31*z - 220","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.583369 rounded to 2 dps?\nAnswer: 1.58","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -24 - -24.5. Put 0, t, 4 in descending order.\nAnswer: 4, t, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x**3 - 7*x**2 + 5*x + 12. Let v be g(6). Suppose v*d + 6*d - 108 = 0. Let i = 41 + -33. Solve -d*w = -i*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -972, -977, -984, -993, -1004, -1017, -1032?\n\"Answer: -m**2 - 2*m - 969","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-26)\/117 + (-58)\/(-18))\/(6\/(-12)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-253)\/345*(-308)\/2541.\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 26611 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0684624 minus 43178.5?\nAnswer: -43178.5684624","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 84584 in -2\/7, 1\/8, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 z when four letters picked without replacement from {z: 4, o: 3}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(171) - (0 + sqrt(171) + 2 + sqrt(171)))**2.\nAnswer: 12*sqrt(19) + 175","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -907\/23750, -0.3, -0.1 in increasing order.\nAnswer: -0.3, -0.1, -907\/23750","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -18 divided by 19\nAnswer: -18\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 664 = 27*o + 421. Solve o*n + 105 = -6*n for n.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (0*(-3)\/9)\/(-1) + -2. Let p = -0.05 - -5.05. Which is the closest to k? (a) 2 (b) 0.5 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*w - 2*u + 192, -4*w + 5*u - 45 = 204. Find the common denominator of 155\/78 and (-586)\/w + -4 - 40\/8.\nAnswer: 858","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.2 from 1129592443956.\nAnswer: 1129592443956.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -170*w - 6. Solve 0 = h - f - 9, -4*h + f + 21 = w for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 572849 to the nearest integer?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = a**3 + a**2 - 2*a + 1. Let m(i) = 4*i - 3*i + i**2 - 4*i - 3. Let k be m(4). Suppose f = -0 + k. Give u(f).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.3 + 0. Let t = u + 0.4. What is the closest to 1\/4 in t, -3, 4?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -52*y**3 - 27*y**3 + 7*y**3 + (-6*y + 3*y + 2*y)*(-7*y**2 + 9*y**2 + 19*y**2) to the form g*y + h + o*y**2 + b*y**3 and give b.\nAnswer: -93","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - y = 3626, 4*a + 3*y - 3802 = -905. Let l = a + 390. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 115228?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24722*g**2 - 12354*g**2 - 12297*g**2 + 2*g**3.\nAnswer: 2*g**3 + 71*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*o**2*v - 228799*o**2 + 174701*o*v - 29*v + 14 wrt v.\nAnswer: -2*o**2 + 174701*o - 29","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-4)\/(-2))\/(8\/(-32)). Let h be (3 - 2) + 3*6. Let j = d + h. Calculate the remainder when 30 is divided by j.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 698641 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00004451 rounded to three decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 6392 divided by -6392?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 2046166050 divided by 5\nAnswer: 409233210","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d + 3 = -4*y, -23*d = -5*y - 21*d + 9 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.93374153 less than 0.2?\nAnswer: 6.13374153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 16790 a multiple of 46?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/15*w**2 - 4548128\/15 + 6032\/15*w.\nAnswer: -2*(w - 1508)**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3280504 divided by 4\nAnswer: 820126","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 86*g**3*s**3 + 172428*g**3*s*t + 14*g**2*s**3 - 14067*g*s**3 - 103*s**3 + s**2*t wrt g?\nAnswer: 516*s**3 + 1034568*s*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) be the first derivative of -17*j**4\/6 + 35*j**2\/2 - 35*j - 10. Let m(a) be the first derivative of s(a). What is the derivative of m(c) wrt c?\nAnswer: -68*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -338 + 488. Let z(c) = c + 52. Let b be z(8). What is the greatest common factor of b and n?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:47 PM and 12:42 AM?\nAnswer: 595","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5469750 and 170625?\nAnswer: 191441250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mnmmiinmuimimmim. What is prob of sequence iumm?\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sum 13575 and -0.4.\nAnswer: 13574.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -4*w**3 + 17*w**2 - 17*w - 23. Let t(i) = i**3 - 6*i**2 + 6*i + 8. Let h(f) = -6*j(f) - 17*t(f). What is the first derivative of h(m) wrt m?\nAnswer: 21*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.06 (b) 2600 (c) 516\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2920789?\nAnswer: 31, 94219","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7 - -11. Let h = -2 + d. Let f = 1 - 2. Put f, 0, h in decreasing order.\nAnswer: h, 0, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3774543812 to the power of 1\/3, to the nearest integer?\nAnswer: 1557","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 1 - 1)*(-4 + 4 - 4*a)*((1 - 5 + 3)*(5 - 2 - 1) - 3 + 5 + 0 - 1 - 5 + 4).\nAnswer: -24*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*w + 2*w + 2*w)*(10 + 511*w + 465*w + 460*w - 1367*w).\nAnswer: 69*w**2 + 10*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (77 - 37 - 41 - 17*b)*(-6*b + 2*b - 7*b).\nAnswer: 187*b**2 + 11*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 0*i - 115 = 0. Suppose 2*k + 7 = -i. Is -15 equal to k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4.9306 * 7\nAnswer: 34.5142","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -10 + 13. Suppose -4*h = -o*h + 1. List the prime factors of 19*((-1)\/2)\/(h\/2).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/3 (b) -3 (c) -4\/15 (d) -10 (e) -4\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2937 >= 2933?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2082.94199704 - -2083.025. Let k = 0.083 - l. What is k rounded to six dps?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 176 minutes after 12:24 AM?\nAnswer: 3:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k**3\/k)\/k)**(-16))**(-3\/7) assuming k is positive.\nAnswer: k**(48\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) be the third derivative of -c**6\/20 + c**5\/60 - c**4\/24 - c**3\/3 - 2376*c**2. Let z(g) = 5*g**3 - g**2 + 2. Determine -2*p(o) - 3*z(o).\nAnswer: -3*o**3 + o**2 + 2*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 153 (base 6) to base 11\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0 times -93625.518\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 93? (a) 7 (b) 69 (c) 0.01\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - n - 3*l = -10, 2*l = 0. Suppose n*x = 186 + 1302. What is the tens digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3649965.17 rounded to the nearest 1000000?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -r**3 + 3*r**2 + 3*r - 4. Let n be g(3). Let c(w) = 4 + 0*w**3 + 6*w**2 - w**3 + 2*w - w**2. Does 10 divide c(n)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 246639 is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in eighteen fifths of a meter?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 11*o + 48. Let d(f) = 2*f + 8. Let z(h) = -34*d(h) + 6*m(h). Let n be z(6). Solve 5*a + x - n*x - 9 = 0, 4*a = 4*x + 4 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l = 2*q - 51, -21445*l - 37 = 6*q - 21446*l for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) be the second derivative of -15*j + 5\/6*j**3 + 10*j**2 - 1\/6*j**4 + 1\/120*j**6 + 0 - 1\/12*j**5. Let t(b) be the first derivative of o(b). What is t(6)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*i**2 + 2*i**2 + 3*i**2 + (-4*i + 4*i + 2*i**2)*(0 + 0 + 1) + 0*i + i**2 + 0*i - 454*i + 454*i - 74*i**2.\nAnswer: -70*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 30104064 a multiple of 141?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = 4 - 43. Suppose -16*z = -l*z + 87. Let d = z - -28. Do 3.5 and d have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5e (base 15) to base 8.\nAnswer: -131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -0.2, -207, 2\/11?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 5 - 19*c - 9*c + 12*c + (-4*c + 2*c + 0*c)*(-60 + 114 - 55) in the form g*c + z and give z.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 591*z + 8966 - 2465 = 0 for z.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 2042 divided by -1404\nAnswer: -1021\/702","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 114059?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r + 8*c = 4*c - 37, 5*r - 5*c - 65 = 0 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -12585, -11484, -10383, -9282, -8181, -7080?\nAnswer: -5979","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3718*d**3 + 1 + 961*d**3 - 1.\nAnswer: 4679*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/7 (b) -23 (c) 5\/8 (d) -153 (e) -78\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5602, 5603, 5604, 5605?\nAnswer: 5606","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*(-1 + sqrt(208) + 0 + sqrt(208)))**2 + (sqrt(325) + sqrt(325) + 0 + 0 - (-2 + sqrt(325) + 0 + sqrt(325)))**2)*-4*2.\nAnswer: -60008 + 1152*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*g + 20 = 37*g. Suppose 4*v = -g*f + 949, v - 4*f = -0*f + 211. What is the greatest common factor of v and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14 divided by 15.\nAnswer: -14\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2639 - -2756. What is the remainder when 462 is divided by y?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*x = -36 - 12. Suppose -2*s + 0*n = -n - 29, 0 = 5*s + 3*n - 89. Suppose 0 = -14*a + s*a - x. Let z(b) = -b**2 + 5*b + 2. What is z(a)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bpjvbvjpbhhqjb. What is prob of sequence jjv?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2.0591 and -0.3.\nAnswer: 0.61773","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 509 a factor of 14114061?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 0 + -115043?\nAnswer: -115043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -1476353.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 213, 18, -140\/3, 0?\nAnswer: -140\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -n + 1. Let k be 2 + 1 - 0 - (-1 - 1). Let d be -1 - (k + -3) - (4 - 47). Let m be ((-4)\/10)\/((-16)\/d*1). Give j(m).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -28*h + 757. Determine i(27).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3*c**3*o*p - 3*c**3*o + 9*c**2*i - 36*c**2*p - c*i*o*p + 2*c*i*o + i*o wrt p?\nAnswer: -3*c**3*o - 36*c**2 - c*i*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + (3 - 7 - (7 + 13)).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 267*b + 1192. What are the prime factors of d(12)?\nAnswer: 2, 7, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(80)*2)\/(1*sqrt(4)*-4).\nAnswer: -sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c**4 - 1405*c**3 + 1410*c**2 = 0. What is c?\nAnswer: -282, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 17031801 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Do 1\/83727059 and 0 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the third derivative of -9*k**6\/4 - 68*k**5\/15 + 8*k**2 + 4. What is the third derivative of l(t) wrt t?\nAnswer: -1620","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence znnn when four letters picked without replacement from {z: 5, n: 7}?\nAnswer: 35\/396","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31982 + r - 268574 + 172016 - 245312.\nAnswer: r - 373852","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 1, -3, 0, -4379 in descending order.\nAnswer: 1, 0, -1, -3, -4379","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p**3\/13 + 224800*p**2\/13 - 6316430376*p\/13 - 25269318432\/13 = 0 for p.\nAnswer: -4, 56202","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 796 and 3.\nAnswer: 2388","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 3*u = -61 - 56, -3*u + 3 = 0. Suppose 5*d - v = 17. What are the prime factors of d?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -33131001300031 + -3?\nAnswer: -33131001300100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s - 4*y - 40 = 0, -29*y + 47*y + 10 = 7*s + 17*y for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:31 AM and 11:27 AM?\nAnswer: 236","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = 5*o, -y + 3*o = -2*o + 12. Suppose 0*k = -5*k + 15, y*k = 4*t - 3. Solve w + 11 = -t*a, 7 + 13 = -5*a for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + 5 + 3 + ((2 + sqrt(567))*-6 - sqrt(567)) + (sqrt(567) + 1*sqrt(567))*3*-4)**2.\nAnswer: 2232*sqrt(7) + 544903","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(325) + sqrt(325) + -3 - (sqrt(325) + (sqrt(325) + ((sqrt(325) + sqrt(325)*4)**2 - sqrt(325)) + sqrt(325))*-5) - (1 + (-5*4*sqrt(325))**2*-3).\nAnswer: 30*sqrt(13) + 430623","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -k**2 + 226*k**4 - 110*k**4 - 3 - 61*k**4 wrt k?\nAnswer: 1320*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4 + -4.3. Let j(y) = y**3 + 6*y**2 - 9*y - 4. Let m be j(-7). Let q be (-4)\/m - 17\/(-30). Which is the third biggest value? (a) x (b) 3 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13 + -15 + 15 + -4\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*h - 3230874093 + 3230874093.\nAnswer: -2*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 6434 (base 9) in base 7?\nAnswer: 16534","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - 6\/5 - (-89)\/2670.\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 531421 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y**4\/9 + 169574*y**3\/3 = 0.\nAnswer: 0, 254361","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x*x**(-3\/10))**(23\/5)*x**(-1\/49)\/x*x**37 assuming x is positive.\nAnswer: x**(107309\/2450)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 30*x**3 + x - 1. Let d be v(1). Let b = -34 + d. Sort 3, 1, b in increasing order.\nAnswer: b, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -j**2 - 47*j + 836. Let k be u(13). Calculate the highest common divisor of k and 5460.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/(-2 + 17) - (-6216)\/(-1295)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 12801896 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 41 divide 2892083?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*-5*6*(-1*(sqrt(847) + 1 + sqrt(847))**2 - (sqrt(847) + sqrt(847) + ((sqrt(847)*-1 + 4)**2 - sqrt(847)))).\nAnswer: -2970*sqrt(7) + 382680","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*y + 3 = -70 - 87 for y.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 667 and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3886\/9 > 433?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -2*c + 10. Let l(g) = -g + 3. Let y = 17 - 19. Determine y*o(a) + 7*l(a).\nAnswer: -3*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 80113 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 564 and 651?\nAnswer: 122388","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 124542465 (base 7) to base 16\nAnswer: 79b85b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 17.5 and -31754?\nAnswer: 31771.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1111*c**3 - 15234*c**2 + 15234*c**2)*(-2*c - 3 + 3).\nAnswer: 2222*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2 - 1)\/((-2)\/10). Let y = 122 - 608\/5. Let g = -30 - -30. Which is the nearest to g? (a) s (b) 1\/5 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t + 31*c - 105 = 27*c, -t - 24*c = -647 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 82972 + -37337. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-18)\/666*0\/81.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 477 and 186984.\nAnswer: 477","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -9\/1204 and -5\/1239604.\nAnswer: 8677228","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1124 times -0.878?\nAnswer: -0.0986872","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-28)\/6 - 1\/3. Let z(f) = f**3 + 6*f**2 + 7*f + 16. Let y be z(q). Find the third derivative of 19 - 6*b**y - 3*b**2 - 19 wrt b.\nAnswer: -720*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x**3 - 18*x**2 - 17*x - 16. Let i be j(-17). Let w be (-4 - i)\/3 + 10. Find the first derivative of 12*d**3 - 115*d + w + 115*d wrt d.\nAnswer: 36*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -412, 1\/2, -2\/3, -6869?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -l + 1. Let p(a) = -50*a**2 - 22. Let z(q) = -6*m(q) - p(q). What are the prime factors of z(-2)?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) be the third derivative of t**5\/120 + t**4\/24 - t**3\/2 - 11*t**2. Let r(j) be the first derivative of z(j). Is r(8) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -31\/522 and (-4)\/34 + (-74888)\/11968.\nAnswer: 2088","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 8848289*l + 8535542?\nAnswer: 8848289","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate c*r**3 - 42*c*r**2 + 466*c*r + 1954361*r**3 with respect to c.\nAnswer: r**3 - 42*r**2 + 466*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 147*h*l**4 - 285*h*l**2 + 11*h*l - 3*h + 26*l**4 + 40109*l + 2 wrt l.\nAnswer: 1764*h*l**2 - 570*h + 312*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 5665248 divided by 2844\nAnswer: 1992","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 49 is divided by 19.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - 5\/((-5)\/(-8))) + 5.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2.5 * -12304.\nAnswer: -30760","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 4, q: 1, x: 4, s: 2, t: 3}. Give prob of picking 3 t.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2 - -1)\/(7\/(4 - 627)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) be the third derivative of 1\/12*d**4 + 1\/60*d**5 + 0*d + 1\/2*d**3 + 0 + 158*d**2. Determine p(0).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 21 + -18. What is the first derivative of 8 + 2 + 8*c**3 - s wrt c?\nAnswer: 24*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 25 - 5. Suppose -6*t = -11*t + r. Suppose t*c - 15 = 33. What are the prime factors of c?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 54715?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.128 to 2 decimal places.\nAnswer: -1.13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3.1083 and 1.78?\nAnswer: -5.532774","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five halves of a microsecond in nanoseconds?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -48*r - 215 - 25 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 2 k when three letters picked without replacement from {k: 2, d: 2, n: 1, x: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (23 - 74) + 79 - 13.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -3*c**3 + 2*c**2 - 1. Let a(p) = -8*p**3 + 299*p - 4. Give -a(b) + d(b).\nAnswer: 5*b**3 + 2*b**2 - 299*b + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + -3 + (sqrt(3) + -5 + sqrt(3)*2 - sqrt(3))*3.\nAnswer: -18 + 6*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4\/25 - 103\/175. Let p = -2 + 2.06. Let u = -3.06 + p. What is the biggest value in n, 1\/3, u?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 84.781 rounded to zero decimal places?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the first derivative of 18\/7*h**3 + 23\/14*h**4 + 4\/7*h + 2\/5*h**5 + 13\/7*h**2 - 58. Find b, given that r(b) = 0.\nAnswer: -1, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 16 and 70.\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -301397400*d**2*g**3 - 2*d*g + d + 98125926*g**3 + 1 wrt d?\nAnswer: -602794800*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -15*v + 9*v - 3*v**2 + 6*v. Let l(a) = -7*a**2. Determine l(d(i)).\nAnswer: -63*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1134?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*h**3 - 3*h**3 - h**3)*(-h + h - 7*h)*(1 + 4 - 6) + 2*h**4 - 5*h**3 + 0*h**4 + 4*h**3.\nAnswer: 9*h**4 - h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4618 + 8142. Let f be ((-168)\/40 - -4) + (-422446)\/120. Let i = a + f. Find the common denominator of i and -79\/44.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1003616.84 rounded to the nearest one hundred thousand?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -26677 by 6.\nAnswer: -26677\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -15 times 2.642\nAnswer: -39.63","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -32 + 78. Solve -47*v + 3 = -h*v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 u when two letters picked without replacement from {y: 3, u: 2, v: 4}?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31580817?\nAnswer: 3, 23, 347, 1319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that 2*n**3\/5 + 137608*n**2\/5 - 10056822*n\/5 - 10744812 = 0.\nAnswer: -68877, -5, 78","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -q**3 - 3*q**2 + 3*q + 1. Let g be c(-4). Suppose g*o - 4*a = -5*a + 151, 5*o - 149 = a. Is o a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -118770404856 and 0.2.\nAnswer: -118770404855.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*u - 3*u = 93. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (43 - 44) + 30 + -6 - -4\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1459996598?\nAnswer: 2, 67, 2621, 4157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 = -5*x + 13, x = m + 9 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x\/x**(-3))\/x**(2\/3))\/(x*x**(-1\/5)*x\/(x*x*x\/(x*x*x**(-2\/7)\/x)*x)))\/((x**(-1\/4))**(-2\/57))**(6\/5) assuming x is positive.\nAnswer: x**(9593\/1995)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 112.2443 nanograms in micrograms?\nAnswer: 0.1122443","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -v**2 + 7*v - 9. Let a be s(5). Let y = -6.96334 + -0.03666. Sort a, -2, y.\nAnswer: y, -2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -109*t + 78*t + 128*t = -93*t + 1140 for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*v + 2*v - 6*v)*(4 - 3 - 3).\nAnswer: 2*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the first derivative of -o**5\/20 - o**4\/8 + o**3\/3 + o**2\/4 - 3*o\/4 - 17. What is i in z(i) = 0?\nAnswer: -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*t**4\/7 - 4*t**3\/7 + 16*t**2\/7.\nAnswer: -2*t**2*(t - 2)*(t + 4)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 100 - 100000031301?\nAnswer: -100000031201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 18521537 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m**(1\/4)*m)\/m)\/m**(-4))\/(m\/(m**(-1\/4)\/m)*m*m**(3\/2)) assuming m is positive.\nAnswer: 1\/sqrt(m)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -26, -9, 3, -138 in increasing order.\nAnswer: -138, -26, -9, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 46\/15 + -382\/105. Let h be ((-3)\/(18\/4))\/2. Let b = -0.13 + 5.13. Sort t, b, h.\nAnswer: t, h, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**1\/(((s**6\/s)\/s)\/s))**(1\/11)\/(((s*s**(-9))\/s*s)\/s**(-1\/19))**21 assuming s is positive.\nAnswer: s**(34843\/209)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 2542198199 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.03 + -2.03. Let f = -1.5 - v. Let a = 2.9 + -3. What is the third biggest value in -2\/5, a, f?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.116 times 2742?\nAnswer: -318.072","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1410 = 80*s + 59*s + 143*s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*n**5 + 11796*n**4 - 11642556*n**3 + 92575008*n**2 - 184773312*n.\nAnswer: -3*n*(n - 1962)**2*(n - 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + 2*z)*(0*z**4 - 5*z**4 + 2*z**4 + (-2*z**2 - z + z)*(-z**2 - 4 + 4) - z**4 - z**2 - 2*z**4 + 0*z**4).\nAnswer: -8*z**5 - 2*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: ((-42)\/(-343)*7)\/(3\/(-63))\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 2*f - 163 - 133 = 0, 3*t + 4*f - 892 = 0. Let u be (1 - 0) + t\/32 + -10. Which is the second smallest value? (a) 0.2 (b) u (c) -13\/24\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -23*(-2)\/((-66)\/3)*11\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4956877 and 7871?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 0*m - 279 = m, 96 = -w + 5*m. Let j = w - -120. What is the tens digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*o - 196*p + 184*p - 40, -4*o - 15 = 4*p + 1 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = -3*o + 9. Suppose 4*h + 26 - 282 = 2*m, 0 = -3*m + o. What are the prime factors of h?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 25169625*b + 24755427 with respect to b.\nAnswer: 25169625","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -659648\/45 + 14660. What is the common denominator of l and 64\/3865?\nAnswer: 34785","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -23 - -23.1. Which is the nearest to t? (a) 1 (b) -1 (c) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 80431 and 21827.\nAnswer: 299","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -214 and -70891?\nAnswer: 70677","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 1760?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 57\/15*-2*-5. Suppose -4*x + r - 2 + v = 0, -x + 4*r + 9 = 0. Let g = x - 14. Sort -2, -6, g in descending order.\nAnswer: -2, g, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 5*v = -2*m + 25, 3*m + 2*v = 10. Let j be m*4\/(-120) + (-2)\/10. Let p = -1475 - -137173\/93. Is j less than or equal to p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15437?\nAnswer: 43, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -1783, -1668, -1627, -1696, -1911?\n\"Answer: -6*p**3 - p**2 + 160*p - 1936","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 77*v - 2150. Let q be l(28). Let m(s) be the third derivative of 0*s - 10\/27*s**3 - 1\/540*s**q - 4\/135*s**5 + 19\/108*s**4 + 0 + 46*s**2. Factor m(c).\nAnswer: -2*(c - 1)**2*(c + 10)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = -2*l + 11, 2*l = -4*b - 2*l + 16. Let v = -2.13 - -1.93. Let g = -0.2 + -5.8. What is the second smallest value in v, g, b?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 624 minutes after 5:18 PM?\nAnswer: 3:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1732*x**3 + 1701*x**3 - 2 + 3)*(-3*x - 2*x + 4*x).\nAnswer: 31*x**4 - x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -17*y - 9. Suppose 0 = 5*u - 5*k - 55, -2*u - 4*k = -4*u + 30. Suppose -i - u + 0 = 4*w, -5 = -i. Does 14 divide n(w)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 40535274?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.2 - 0.1. Suppose n - 3 = 2*n. What is the nearest to t in n, 0.3, 5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16526 is divided by 165.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) be the third derivative of 0*l**3 + 0*l**4 + 1\/112*l**8 + 0 + 0*l**7 + 1\/20*l**5 + 0*l**6 - 11*l**2 + 0*l. What is the third derivative of n(a) wrt a?\nAnswer: 180*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -7\/5461845 and -67\/2184738.\nAnswer: 10923690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1826 + -7371\/4. Find the common denominator of -11\/118 and h.\nAnswer: 236","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 729.67517 to the nearest ten.\nAnswer: 730","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -94635\/4, 0.9, -3\/5, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-5 + 6)*((-12)\/5 - -2). What is the biggest value in -6, y, 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1262 is divided by 75.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 2395009 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -117890 - o**2 + 117890. Let p(t) = -2122*t**2. Determine p(v(z)).\nAnswer: -2122*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1645*p**6 + 7*p**4 - 24190*p**2.\nAnswer: 197400*p**3 + 168*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00032867 to six decimal places.\nAnswer: -0.000329","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 696, -13, 0.03, -0.2, 0.\nAnswer: -13, -0.2, 0, 0.03, 696","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 5*d - 442 = -142, 0 = 3*d. What is the remainder when x is divided by 31?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + 0 + (2 + -1*sqrt(245) - 1*sqrt(405)*-4))**2*-4.\nAnswer: -16920 - 1160*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the first derivative of -2*w**3\/3 + 2. Let a(d) = 2*d**2 - 2*d**2 + 2*d**2. What is a(q(v))?\nAnswer: 8*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.001414 to 4 decimal places.\nAnswer: 0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -21675*n**3 + 1057995*n**2 + 199728*n + 9408.\nAnswer: -3*(n - 49)*(85*n + 8)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence koko when four letters picked without replacement from soskokoooopkksk.\nAnswer: 5\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -2*k - 1. Let y be s(-2). Factor 0*u**2 + 0*u + 0*u**4 + 1\/4*u**5 + 0 - 1\/4*u**y.\nAnswer: u**3*(u - 1)*(u + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1200322000123 + 21?\nAnswer: 1200322000210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 22 (base 8) in base 5?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the second derivative of -p**4\/12 - p**3\/6 + 3*p**2\/2 - 8*p. What is f(-3)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 321 - -1144411?\nAnswer: 1200232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -8 + (-1 - (-11 + 9) - (10 + -2))\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:14 AM and 5:07 AM?\nAnswer: 293","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*d - 5*d + 12. Sort d, -1, 1, -2.\nAnswer: d, -2, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -187 - -187. Suppose y = 5*j + 2*s - 1610, -j - 955 = -4*j + s. What is the highest common factor of j and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4911b - 0?\nAnswer: -4911b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 3*d + 11. Let t = 22 + -19. Suppose -3*f + 9 + t = 0. Let z be p(f). Solve 0*v = 3*v + 2*w, 0 = -4*v + 5*w - z for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/1134 in -2\/9, -0.5, -4, 2?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3 + -4 + -3 + 15\/10. Which is smaller: 0.4 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (u**2 + 1 - 1 + 17*u**2 - 58*u**2 + 18*u**2 - 2*u + (2*u + 3*u + 2 - 3*u)*(2*u - 2 + 2))*(-16*u + u - 17*u).\nAnswer: 576*u**3 - 64*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -767*p**3 + 5*p**2 - 3*p - 1. Let j be r(1). Let b = j + 312. What is b rounded to the nearest 10?\nAnswer: -450","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*f + 106 = -82*f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(28)\/(-3*sqrt(400) + sqrt(4)) + sqrt(49)\/((sqrt(210)\/sqrt(10))\/sqrt(3)))*-2.\nAnswer: -56*sqrt(7)\/29","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/4149, 41, -499?\nAnswer: -2\/4149","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-12)\/9)\/(3\/(-9)). Suppose 0 = w + n*w - 190. What is the remainder when w is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = -47*s - 26. Solve -7*i - 28 = -s*i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 30 + 39 = 0, -22 = -4*p - 2*f. Solve 0 = p*w - 4*k + 16, 2*w + 3*k + 13 - 10 = 0 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -m**3 + 4*m**2 - 2*m - 2. Let z be k(2). Let x be z\/((-84)\/(-40) - 2). Suppose 0 = -5*u + 75 + x. What is the units digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*q**3 + 5*q**3 - 77*q**2 + 77*q**2 - 3*q**3.\nAnswer: 5*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 4059455561 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3893, -3897, -3901, -3905, -3909, -3913?\nAnswer: -3917","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -l**3 - 7*l**2 + 8*l - 1. Suppose -26 = 3*t - j, t - 8 = 2*t - j. Calculate the remainder when h(t) is divided by 23.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5079 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 22323 + 4892?\nAnswer: 26bb5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 50*a**2 + 1 + 15*a**3 + 37*a**2 - 87*a**2.\nAnswer: 15*a**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -6*b**2 + 3 - 4 + 5*b**2 - 7*b. Determine v(-5).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/4 (b) -42.78 (c) 297\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 120 minutes after 6:01 PM?\nAnswer: 8:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7300*b - 975 = -7339*b for b.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 - 51*m**4 - m**2 - 17*m**4 - 2*m**4 + 2*m**3 - 19*m**4 - 3*m**2 + 17*m in the form w + p*m**2 + z*m**3 + s*m**4 + c*m and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -28 + 28. Suppose 2 = -3*q + d - 7, f = -5*q + 2*d - 16. Which is smaller: -21 or q?\nAnswer: -21","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*r + 4*r + 64. Let v(s) = s + 18. Calculate the remainder when r is divided by v(-11).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 160, 321, 482?\n\"Answer: 161*w - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 7253507 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Let s(l) be the second derivative of 1\/6*l**4 + 3*l + 0*l**5 - 1\/28*l**8 + 0*l**6 + 0 + 0*l**2 + 0*l**3 + 0*l**7. Find the third derivative of s(y) wrt y.\nAnswer: -240*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -2*t**2 - t - 40. Let j be h(0). Let d = -39 - j. Is (-6 - -5)*d - (1 - 4) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 465 - 466. Calculate the remainder when 226 + 0\/l + 5 is divided by (-1 + 11\/2)*4.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 70, 117, 138, 121, 54, -75?\nAnswer: -278","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -b**3 + 2*b**2 + 2*b - 3. Let v(a) = 2*a**2 + 2*a - 2. Let z be (-2 - -4 - 4) + 4. Let w = -2 + -1. Calculate w*v(q) + z*u(q).\nAnswer: -2*q**3 - 2*q**2 - 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 10220230 (base 6) in base 9?\nAnswer: 504010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h**(-2\/3)\/h*h)\/h**(-6\/5))\/(((h*h**(4\/13))\/h)\/(h\/h**(1\/16))))**(-2\/5) assuming h is positive.\nAnswer: h**(-3629\/7800)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 51\/4340 and 111\/4540.\nAnswer: 985180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 388 minutes before 3:54 PM?\nAnswer: 9:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -11, -9, 328, -485?\nAnswer: -485","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that -k**5 + 999*k**4 + 6025*k**3 + 5049*k**2 - 24084*k - 36180 = 0.\nAnswer: -3, -2, 2, 1005","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 - (-10 + 0 - (-8 + 7)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 10149?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 1\/1061902390?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(-3*(1*sqrt(112))\/sqrt(7))\/(sqrt(72)\/(sqrt(729)*-2))*1 + 4)**2.\nAnswer: -432*sqrt(2) + 5848","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 166*y**3 + 168*y**3 - 335*y**3.\nAnswer: -y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 148832913431 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (2\/(-4) + 86\/(-12))*-3. Suppose -2*t = i + 11, 9*i - 7*i = 5*t + r. Which is the nearest to 1? (a) i (b) 0.2 (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 447659671 is divided by 202?\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8459109 to the nearest integer?\nAnswer: 2908","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 82 = -4*h. Suppose 3*u - 28 = h. Let j = u - 11. What is the least common multiple of j and 10?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -19, -45, -97, -187, -327, -529, -805, -1167?\n\"Answer: -2*o**3 - o**2 - 9*o - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 1386*c**2. Let b(h) = -1005*h. Determine r(b(i)).\nAnswer: 1399894650*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-11)\/(-4))\/(88\/1856).\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.225 - 1.755. Let j = 0.02 - x. What is the second smallest value in 0, j, -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 1606651, 6426654, 14459985, 25706638, 40166607, 57839886?\n\"Answer: -k**3 + 1606670*k**2 - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 359*i + 3 - 2 - 360*i. Let u(s) = -24*s**3 - 10*s**2 - 6*s + 6. Let c(j) = -u(j) + 6*w(j). Find the third derivative of c(m) wrt m.\nAnswer: 144","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*i + 28 - 14 = 0. Put 3, 13, 0, i in descending order.\nAnswer: 13, 3, 0, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -17400, -69611, -156632, -278469, -435128, -626615?\nAnswer: -852936","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 142164?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -50703 + -21?\nAnswer: -50724","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16 + (1\/12)\/(133\/29526).\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -222 - -465. What is the highest common factor of v and 27?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y = -5*c - 57, 371*c - 2*y = 374*c + 35 for c.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -286917400 to the nearest 100000.\nAnswer: -286900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 8548*d + 153868. What is c(-18)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(80) + 5)**2 + 2.\nAnswer: 40*sqrt(5) + 107","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = -10 + 34. What is the smallest common multiple of f and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hn when two letters picked without replacement from {t: 1, h: 1, n: 11, y: 2}?\nAnswer: 11\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 44\/329 and -37\/1617.\nAnswer: 75999","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2 (b) 5 (c) -5 (d) 0.087\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lomr when four letters picked without replacement from {l: 2, o: 4, r: 1, m: 4, p: 6, q: 2}.\nAnswer: 1\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 53541*b - 53537*b - 415 = -13*m, -58 - 88 = -5*m + 3*b for m.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 38\/11 <= 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5 + 41?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -k**2 + 19. Let i be 56\/(-196) + 51\/7. Let c(g) = -i*g + 14*g - 8*g. Give c(o(z)).\nAnswer: z**2 - 19","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 103019 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r - 2*p = -2 - 0, -3*r - p = 10 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1500 a multiple of 250?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 81.11761 litres to millilitres.\nAnswer: 81117.61","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2 + 2)*(-2*u**4 + 11 + 12 + 60) - 5*u**4 + u**4 + 3*u**4.\nAnswer: u**4 - 83","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1461531 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -33\/8 and ((-2)\/8)\/((-63)\/154)?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**4\/(x*x**(-2\/9)*x))**(-1\/16) assuming x is positive.\nAnswer: x**(-5\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 33285507 is divided by 11095167?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 59696, 59694, 59692?\nAnswer: 59690","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 43087 and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**17*q**(-2\/19) assuming q is positive.\nAnswer: q**(321\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by 45.\nAnswer: -2\/45","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 2863 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (0 - (-4)\/6) + 929920\/17436\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -36816, -73634, -110452, -147270, -184088?\n\"Answer: -36818*d + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -4*j**2 + 107247. Let c(y) = -33*y - 3. Determine q(c(h)).\nAnswer: -4356*h**2 - 792*h + 107211","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -781091*n**6 + 1780372*n**2.\nAnswer: -93730920*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (11 + -4 + -4)\/((-1)\/(-389)). Suppose 5*m - 2*m = d. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 70*i**2 - 48 - 23*i**2 - 47*i**2 - 18*i**3 as n*i**2 + c + a*i + f*i**3 and give c.\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y**3 + y**2 + 7*y - 1. What is z(3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 316 + 322 - 7*m**2 + 322 - 960 + m**2.\nAnswer: -6*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 5, o: 1, z: 1, e: 1, n: 4, g: 1}. Give prob of picking 1 n and 1 e.\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*r**2 - 2*r**4 + 0*r**2)*(3*r + r - 6*r) - 9*r**3 - 3*r**5 + 9*r**3 + (-2*r**2 + 2*r - 2*r)*(0*r**3 + 3*r**3 - 2*r**3).\nAnswer: -r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 1 - 6)*(-1 - d**5 + 1).\nAnswer: 8*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*v + 4 = 172 for v.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 - d + 1 + (-2*d - 5*d + d)*(-4 + 4 - 4) + d + d - 3*d.\nAnswer: 22*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -567*w + 152 = -559*w for w.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - k + 3458 + 4634 = 0, 0 = -5*v + 4*k + 10094. What are the prime factors of (v\/(-8))\/((-31)\/124)?\nAnswer: 3, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 45 = v, 0 = -y + v - 7 + 19. Suppose -18*b + y = -7. Is 13\/11 > b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3247877 is divided by 2512.\nAnswer: 2373","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) be the first derivative of 18*g**2 + 12*g + 130. List the prime factors of c(11).\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9367 divided by 1\nAnswer: -9367","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1\/(-3) + 2\/6. Let n(j) = -4*j - 2. Let v be n(0). Put v, -3, t in decreasing order.\nAnswer: t, v, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 444?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence grt when three letters picked without replacement from {f: 1, r: 1, x: 7, t: 1, w: 9, g: 1}?\nAnswer: 1\/6840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 2*m**3 + 221*m**2 - 109*m + 213. What is p(-111)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o**(-1\/21)*o)\/o)\/(o*o**(-1\/21)\/o))**(14\/5) assuming o is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*h + 0*h - 7*h)*(-2*h + 0*h + 0*h).\nAnswer: 8*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-2)\/202)\/(1\/2473). Let k = s - 3\/202. What is the common denominator of 47\/3 and k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-14)\/42)\/((-9)\/(-27))*2*3\/102.\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = -2*i + 36, 2*i = -7*g + 5*g + 24. Solve 3*r + g = 3*d, 3*d + 6 = 5*r + 24 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-50)\/((-4600)\/(-46))*(26\/(-4))\/(-1)?\nAnswer: -13\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.13 less than -0.32?\nAnswer: -2.45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2 + 3223101?\nAnswer: 3223103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - ((2 - 1) + 11 + -5)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -134*w - 543. Determine b(-4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 452 >= -41931?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1445471 and 7064?\nAnswer: 883","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1 + -1)\/2*6. Let s(z) = 6*z + 3. Let b(g) = -g + 1. Let t(k) = -4*k + 2. Let w(u) = -11*b(u) + 4*t(u). Let q(n) = v*s(n) - 7*w(n). Determine q(0).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 3, v: 11}. What is prob of sequence vvvv?\nAnswer: 30\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -6*h*q**3 + 1678*h*q**2 - 60*h*q - 2*h + 2*q**3 - 118507661 wrt h.\nAnswer: -6*q**3 + 1678*q**2 - 60*q - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 4*t + 7 = i, -5*t + 32 = 4*i. Let p = 2 + t. Let x be (9\/p)\/3 - 1. Which is the third biggest value? (a) x (b) -4 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/9 in -1, -0.4, 3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 5, a: 10, h: 1, g: 4}. What is prob of picking 2 v?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 6*u - 1. Let h be r(1). Let k = 8 - h. Suppose -k*d - 1 = -2*g, 0*g + d - 1 = g. Sort g, 5, 3 in increasing order.\nAnswer: g, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -23, -2, -4, 36.\nAnswer: -23, -4, -2, 36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 433.181 to the nearest integer.\nAnswer: 433","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 14471?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 235 minutes after 1:49 AM?\nAnswer: 5:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 26 + -23. Suppose -a = -30*n + 29*n. What is the units digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -55\/443241 and -49\/884.\nAnswer: 23048532","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.4, -0.2, -7, 0, 65?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 46591763 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 246 - 205. What is the units digit of (65\/4)\/(-2 - q\/(-20))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 12, k: 1}. Give prob of sequence jkj.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xc when two letters picked without replacement from xcxcxcxxxcx.\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 14 = 34. Let s = 21 - 20.42. Let o = s + -0.78. What is the smallest value in p, 1\/3, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 63*r - 80 + 254 = -24*r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4)\/8*(0 + 0). Suppose 4*n - n + 5 = -4*c, u = c + 3*n + 8. List the prime factors of -1 + 1\/c + 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:30 AM and 12:35 PM?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eikgkzg. Give prob of sequence ie.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4\/26 - 1398\/(-39). Suppose -3*s + 4*s = i. Calculate the highest common factor of s and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1094394 to the power of 1\/2, to the nearest integer?\nAnswer: 1046","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 - (-17 + (-7 - (-21 - (7 - 17)))).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 155*b**3 - 155*b**2 - 550*b - 375. Let n(h) = 7*h**3 - 7*h**2 - 25*h - 17. Let u(x) = -2*i(x) + 45*n(x). Determine k so that u(k) = 0.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 556, -79, -1848, -5333, -11116, -19779?\nAnswer: -31904","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.036 or 808749?\nAnswer: 0.036","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 7126 divide 78034454?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -3d1c (base 16) in base 8?\nAnswer: -36434","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 5 = -25, 5*o = -3*c + 990. Let v = 238 - o. What is the units digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1014\/265417 greater than or equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13275*g + 26324*g - 10977*g)*(1 + 0 + 0 + (2 - 4 + 3)*(-2 + 2 + 2) - 2 - 2 + 5).\nAnswer: 8288*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s**3 - 6*s**2 + 10*s - 3. Let d be c(-8). Let v = 7 - d. Let x = 70 + v. Is x a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1075 + -689. Does 23 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (5 + (-147)\/24)\/(-3) - (-23553)\/(-24). Which is the biggest value? (a) g (b) 4 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = z**3 + 3*z**2 - 3*z - 5. Let n(b) = b**2 + 16*b - 39. Let d be n(-18). Let p be s(d). Solve -g = g - p for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 3, q: 3}. What is prob of sequence oqo?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in seven quarters of a kilogram?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -43*b*z - 780418*b - 45149*z - 37 wrt z.\nAnswer: -43*b - 45149","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-252)\/(-112))\/((-228)\/(-32))*2\/6.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 424*s**2 + 8*s + 13. Let j(k) = k**3 + 9*k**2 + 10*k + 14. Let y be j(-8). Is t(y) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 5*i + 1 = 0, -p - i = -0*p - 5. List the prime factors of ((-36)\/8)\/(p\/(-4)).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((8\/(-12))\/(-2)*-9)\/((-30)\/20).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3014370 a multiple of 870?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that -d**3\/2 - 15726*d**2 + 220238*d - 755184 = 0.\nAnswer: -31466, 6, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -6565416 divided by -20\nAnswer: 1641354\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -19 (base 16) to base 2\nAnswer: -11001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by 115\nAnswer: 1\/115","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 46792 - 6*y**3 - 46792 - 8*y + 8*y.\nAnswer: -6*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 125, 264, 489, 794, 1173, 1620, 2129, 2694?\nAnswer: 3309","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/1896 at least -14?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c**5\/4 - 15*c**4\/4 + 9*c**3\/2 + 24*c**2 - 24*c = 0.\nAnswer: -4, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gl when two letters picked without replacement from {g: 4, l: 6, x: 2}?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = c + 1. Let a(u) = 3*u + 5. Let v(h) = -a(h) + 5*p(h). Let s be ((-8)\/6)\/(4\/(-6)). Let k(r) = 3 - 1 - s + 3*r**2. What is k(v(y))?\nAnswer: 12*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -d + x, 1 - 9 = 4*d - 2*x. Suppose 5*s - 2*n - 46 = d, -8*s = -4*s - 3*n - 41. Let m = s - 0. What are the prime factors of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 * -0.260070288\nAnswer: 1.30035144","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*v = 3*j + 367 - 411, 3*v + 66 = 3*j for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g = -3*m + 23, 3*g + 14 = m - 2 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*c + c = -210. Put c, 1, -3 in ascending order.\nAnswer: -3, 1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1728) - sqrt(1728)*3)\/(sqrt(384)*-2)*-1)**2.\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 254*l + 828*l + 450*l = -1837*l + 175188 for l.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 149\/120 and 57\/168376.\nAnswer: 2525640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 739\/7380 < 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 273*k. Let w(c) = 57*c. Let v(t) = -364*t. Let i(f) = 5*v(f) + 32*w(f). Determine i(d(j)).\nAnswer: 1092*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*h + h - 4*h + (110 - 126 + 77)*(4 - 4 - 1)*(-h - 1 - 7 + 10).\nAnswer: 60*h - 122","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 14\/(-48)*(-207)\/(-22218)*23\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 69 - 66. Let k(d) = 11*d + 13*d + 10*d + 2*d. Let r be k(g). What is the greatest common factor of r and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:00 PM and 12:48 AM?\nAnswer: 468","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -230 + 271 + (-2 - 71) + 42.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is v in -3*v**5 - 19*v**4 - 5*v**5 - 12*v**4 - 6*v**3 + 5*v**4 = 0?\nAnswer: -3, -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1226080525 to the nearest integer?\nAnswer: 1070","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:45 PM and 12:54 PM?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 112, 133, 176, 253, 376, 557?\n\"Answer: 2*j**3 - j**2 + 10*j + 101","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1 and -898359.\nAnswer: 898359","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6507700 to the nearest integer?\nAnswer: 2551","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5936932?\nAnswer: 2, 1484233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:34 AM and 4:56 PM?\nAnswer: 322","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((12\/(-5))\/3)\/((-2)\/(-10)). Let t(v) = v**2 - 2*v - 1. Is t(h) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 3*a**2 + 9*a + 12. Let t(x) = -4*x**2 - 8*x - 12. Let p(z) = 3*m(z) + 2*t(z). Give p(-9).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1\/390 or 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3657?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*d + 2*d - 2*d)*((-d + 0*d + 3*d)*(-2*d**2 - 5*d**2 + 3*d**2) + 0*d**3 - 5*d**3 - 2*d**3) + 0*d**4 - 6*d**4 + 5*d**4.\nAnswer: 29*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2 or -49\/46?\nAnswer: -49\/46","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 24 = -y, 3*y + 12 = -3*v + 36. Suppose -v*s + 3*o + 4 = 0, 8*s - 3*s - 5 = 5*o. Let g be (-4)\/(8\/(-6)) - 3. Which is greater: g or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-17)\/(-3) - (-2)\/6. Suppose 0 = -f + b*f. Let j = 1635.369 + -1630.369. What is the nearest to 0.03 in f, j, 1\/3?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.078091764 to 5 decimal places.\nAnswer: 0.07809","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 200029\/13 + -15386. Let j(g) be the second derivative of -7\/13*g**3 + 0 + 1\/130*g**5 + g - p*g**2 - 3\/26*g**4. Factor j(y).\nAnswer: 2*(y - 11)*(y + 1)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the second derivative of -p**8\/28 + p**4\/12 + 8*p. Find the third derivative of k(o) wrt o.\nAnswer: -240*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -223 = -174*v - 177 + 1172 for v.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 7*d**2 + 42*d - 18778. Determine h(-55).\nAnswer: 87","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8756.\nAnswer: 2, 11, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven tenths of a kilogram in grams?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 81 is divided by 12\/90 + 418\/15?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -4*z + 71. Let r be w(17). Let m = 0 + 3. Suppose 0*i - r*i = 12, 0 = -s - m*i - 12. Is s at least as big as 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2606598 is divided by 3822.\nAnswer: 3816","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 21808558 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -4*((-42)\/(-4) + -3). Find the common denominator of 137\/6 and 6\/w + (-61)\/70.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 315 + -183. Is 8 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 40507\/10608 + -4\/663. Find the common denominator of w and 53\/1598.\nAnswer: 12784","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -i. Let o(x) = -x. Let w(t) = 6*o(t) - 5*z(t). Let d(f) be the first derivative of 17*f**2\/2 - 417. Give w(d(s)).\nAnswer: -17*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = k**2 + 14*k + 5. What is z(-15)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(1\/7))**47 assuming f is positive.\nAnswer: f**(47\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 9, 10, 0.1, 1\/6?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 12 = 0, 19*i = 3*o + 24*i - 856. What is the remainder when o is divided by 21?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*q**2 + 6*q**2 - 4*q**4 + 5*q**4 + 2*q**3 + 2*q as i*q**2 + f + v*q**4 + l*q + t*q**3 and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**3\/9 + 3521*l**2 - 10562*l\/3 - 63376\/9.\nAnswer: -(l - 31688)*(l - 2)*(l + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -278 - -286. Let a be (0\/(-1))\/(p - 10). Solve 4 = 4*r - 4*x, -7*x + 3*x + 4 = a for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 9 = -0*g. Suppose -g*v = -v - 18. Suppose -h + 4*d = -14, -4*h - d = -v*h + 89. What are the prime factors of h?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 3, b: 3}. What is prob of picking 2 b and 2 j?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 39*f + 38*f + 25171996 = 0, 31464984 = 5*k + 4*f. Round k to the nearest 1000000.\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4 - -13043?\nAnswer: 13102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 43918?\nAnswer: 2, 7, 3137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0 (b) -760 (c) 1\/9 (d) -2 (e) -1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*w + 44 + 6. Put w, -3, -5, -37 in descending order.\nAnswer: w, -3, -5, -37","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 2*j = -4. Suppose 0*s - 168 = -j*s. Suppose 4*w = 38 + s. What is the remainder when w is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 11.072 to the nearest integer.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*n**2 - 6348*n.\nAnswer: 2*n*(n - 3174)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-153)\/102)\/(33\/(-2))?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29*x**2 - 7*x**3 + 29*x**2.\nAnswer: -7*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11230261 (base 8) to base 4.\nAnswer: 21103002301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -68 + 143. Suppose -q = i - 2*i. Let j(n) = -i - 6*n**2 + 75. Let z(a) = -a**2. Give z(j(f)).\nAnswer: -36*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = 2*u - 49, -106 + 26 = -5*u - n. Suppose -b = -3*k - 739, -b + k = 2*k - 727. What is the remainder when b is divided by u?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, y: 3, i: 2, k: 1}. What is prob of sequence yy?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 2997.3 rounded to the nearest 1000?\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 26*t - 21*t - 85. Let q = -9 + t. Suppose 4*c + 0*w - 5*w = 16, -4*c - 5*w + 56 = 0. Which is smaller: q or c?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2 - -20213014?\nAnswer: 20213021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 9 = 3*c + 1, -4*a = -4*c + 16. Suppose 1 = -r, -3*r + c = 5*g - 2. Is g smaller than 9\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 881 - 1620. Let r = -367 - b. What is the lowest common multiple of 22 and r?\nAnswer: 4092","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -13 - -17. Suppose -12 = s*h - 44. List the prime factors of 89 + ((-12)\/h)\/(3\/4).\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ggg when three letters picked without replacement from ggguuuuufuugugg?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -2*5\/(-5) + 1. Suppose i*g + 5*x = 40, -g - 2*x + 14 + 1 = 0. Which is the nearest to -0.1? (a) g (b) -4 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.032 - -34.032. Which is the smallest value? (a) 2\/15 (b) g (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*m + 2*m - 56 = -5*d, -d = m - 4. Suppose -4*p + 2*p + d = 0. Find the third derivative of c**4 + 3*c**2 - 2*c**4 + 4*c**2 - p*c**2 wrt c.\nAnswer: -24*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = g**2 + 4*g. Let h(z) = z**2 + 5*z + 1. Let x(q) = 3*h(q) - 4*u(q). Suppose 4*r = -0*i - 2*i + 2, 5*i - 5 = -5*r. What is x(r)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -245*p**6 + 57444*p**4 + 45253322*p**2 wrt p.\nAnswer: -29400*p**3 + 1378656*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 12\/25 of a litre?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -279, -281, -283, -285, -287?\nAnswer: -289","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -568031\/102 + 5569. Let i = 4\/17 - s. What is the nearest to 0.1 in 0.2, -1, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27*t**3 - 53*t**3 + 23*t**3.\nAnswer: -3*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 210 and 90?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1.2 and -6.3.\nAnswer: 7.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in 2\/19, -3, -4.4?\nAnswer: -4.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 41123?\nAnswer: 17, 41, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -13, 11, 37, 65, 95, 127?\nAnswer: 161","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3795349770.\nAnswer: 2, 3, 5, 29, 161573","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 5607, 21444, 47865, 84894, 132555, 190872, 259869, 339570?\n\"Answer: 4*d**3 + 5268*d**2 + 5*d + 330","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4634 divided by 26512.\nAnswer: -2317\/13256","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.2 (b) 4\/41 (c) -1\/2 (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.2 - -1.3. Let h = -5 + 3. Let n = h + l. Which is the closest to 3? (a) -4 (b) n (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2315457?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 30\/(-4)*24\/(-30). Suppose -3*g + 3*o = l, g - 2*o = 3*g - 8. What is the smallest common multiple of g and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7354000 rounded to the nearest 1000000?\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 24012304 + 21?\nAnswer: 24012330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -3*w**3 + 4*w**2 - 3*w - 2. Let n(l) = l**3 - 1. Let u(q) = -2*n(q) - r(q). Let f be u(3). Let h be 2\/2*(f - -6). Solve -3*b + 5*b + h = 0 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -16397 + 16540. Calculate the remainder when 1297 is divided by z.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -149\/6 and 73\/785714.\nAnswer: 2357142","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*a**4 - 364*a*d**3 + 6*a*r**3 + 46*d**3*r**3 - 941*d*r**3 wrt a?\nAnswer: 8*a**3 - 364*d**3 + 6*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the first derivative of -d**6\/84 - d**5\/420 + d**4\/42 - 50*d**3\/3 - 93. Let m(x) be the third derivative of y(x). What is u in m(u) = 0?\nAnswer: -2\/5, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 26 and 91.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0\/(-5)*(-1)\/2. Suppose -2*l = 2*k - 52, i*l = l - 2. Let h = 6 - 0. Calculate the greatest common factor of k and h.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 17 - 205 = 0. What is the tens digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -112662*k**4 + 2*k + 80709.\nAnswer: -450648*k**3 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 81.36987 - 163?\nAnswer: -81.63013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -1008, -131, 13, 0 in decreasing order.\nAnswer: 13, 0, -131, -1008","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 373761 is divided by 575.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 174 is divided by 10?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 + 7 + 8)*(1 + 0 + 0) - 2 - 2 + 1)*(-92*k - 37*k + 16*k).\nAnswer: -1582*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2031 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 3d3d9 (base 15) to base 12\nAnswer: 95959","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5769 - 5766. Factor 5\/3*d**x + 0 + 0*d + 5\/3*d**2.\nAnswer: 5*d**2*(d + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + -20 + -5 + 18.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 848*i**3*v**3 + i**3*v**2 - 1471*i**3 + 8 with respect to v.\nAnswer: 2544*i**3*v**2 + 2*i**3*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = k**3 - 6*k**2 + 3*k - 8. Calculate the lowest common multiple of 46 and b(6).\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-82 + 8*s + 82)*(120*s - 120*s - 28*s**2).\nAnswer: -224*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (5 + 2 - 2209*z**3 + 2211*z**3 - 9*z)*(1 + 3 - 2)*(-2 - 2 + 5)*(3 + 3 - 20) in the form w*z**2 + y + r*z**3 + s*z and give y.\nAnswer: -196","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -33415, -33204, -32851, -32356, -31719, -30940, -30019?\nAnswer: -28956","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + -3*sqrt(1300) + 2 + (1*sqrt(650)\/sqrt(2))**2.\nAnswer: -30*sqrt(13) + 323","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1246 + -54?\nAnswer: -1333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 486\/729*(4\/30 - (-1524)\/720)?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -513979 (base 11) to base 13.\nAnswer: -22b706","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5.265 - 5.3. Let s = x - -5.035. Which is the nearest to 0? (a) 0 (b) -0.3 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that 3*z**5 + 564*z**4 + 38811*z**3 + 1143318*z**2 + 11369508*z - 27631896 = 0.\nAnswer: -58, -37, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.4*17507.26.\nAnswer: 7002.904","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1 - -7. Let b = t + -1. Solve 5*x - 35 = 3*v + b, -5*x = -5*v - 50 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the third derivative of -15*l**4\/8 - l**2 - 107. Let d(m) = -2*m**2. What is p(d(f))?\nAnswer: 90*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 668, 3824, 9070, 16406, 25832, 37348, 50954?\nAnswer: 66650","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**6\/(k*k**6))\/(k*k**(-1)*k)**(1\/7))\/(k**(-7)\/k**6)**(-36) assuming k is positive.\nAnswer: k**(-3284\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -66*x. Let t be n(-1). Suppose -3*l = 5*c - 32, c = -4*l - c + t. What is the highest common divisor of 95 and l?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15086.\nAnswer: 2, 19, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -1080.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1418 - 1520. Sort -2, -1\/3, p.\nAnswer: p, -2, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = g - 8. Determine b(-6).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*l - 13*l**3 - 14*l**3 - 2 - 17*l**3 + 59*l**3 - 2*l**2 - 14*l**3 to the form a + v*l + i*l**2 + g*l**3 and give v.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = q**2 + 3*q - 13. Calculate p(-5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/(-12) + 40\/(-336). Is 1 > z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4037 is divided by 476?\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-17 + 18 - 24)*(-4*v**5 + 4 - 4).\nAnswer: 92*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*x - 12 - 8. Suppose x*s = 2*i + 7, 5*i - 10 - 13 = -s. Let w(n) be the third derivative of -n**4\/6 + 5*n**3\/6 - 686*n**2. Give w(i).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b + 252 = -4*p + 230, -3*p + 3 = 5*b for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 27.6 - 30. Let v = s - -4.4. Let z = -0.02 - 4.98. Which is bigger: v or z?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s when two letters picked without replacement from pspppspcs.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 495300 is divided by 1744.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -15*l**2 - 3*l + 3. Let x(d) = 2*d**2 + d - 1. Let p(m) = -3*x(m) - y(m). Let t(s) be the third derivative of -23*s**5\/60 + 4*s**2. Give p(t(c)).\nAnswer: 4761*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 79684 + -40049. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -87 - -90. Find the common denominator of (21\/(-108))\/(3\/(-4))*v and 48.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 441440 - 142?\nAnswer: 441243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g + 2*g + 8 = 0. Let y(a) = -a**3 - 2*a**2 + 6*a + 6. What is the tens digit of y(g)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 221775 and 200.\nAnswer: 1774200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 140 + -65. Is 5 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3 + 4138?\nAnswer: 4135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 10673603?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.4 (b) -4\/3 (c) -1\/6 (d) -1\/5 (e) -1.3172\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4142382 is divided by 73971.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-1895)\/20*-2)\/(3\/138) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express m**3 + 1 + 3 + 2 - 5 in the form w*m**2 + h + j*m + q*m**3 and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-27)\/(l\/l**(-2\/27))*l\/(l*l**19\/l)*l\/(l\/l**(-2\/7)))**(-9) assuming l is positive.\nAnswer: l**(8762\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 28, 8, -1, -2, 52 in descending order.\nAnswer: 52, 28, 8, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -1352 (base 6) in base 12?\nAnswer: -258","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 32245.\nAnswer: 5, 6449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 413344 and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 2033352?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (5 - 3)\/(1\/2). Suppose -g*j = j - 25. Suppose 35 - 1 = 3*d - 5*q, -j*d + 68 = 3*q. List the prime factors of d.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.4 * -9375.\nAnswer: -3750","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = a**2 - 9. What is the units digit of y(4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -r**2 + 10*r + 22. Let l be d(12). Let n be (l + (-25)\/(-15))*-15. Find the second derivative of -13*y + 22*y - 4*y**n - 10*y wrt y.\nAnswer: -80*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10384*h**2 - 9852*h**2 - 1958*h**2.\nAnswer: -22194*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000028498451 rounded to five decimal places?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(1*(-4 + (-6*(sqrt(84)\/(sqrt(12)*-1 - sqrt(12)) - sqrt(7) - (sqrt(7) - sqrt(70)\/sqrt(40))) + 3)*6))**2.\nAnswer: -218904 - 12096*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15774397*-0.3.\nAnswer: 4732319.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/(g*(((g**(-3)*g)\/g*g)\/g)\/g*g))\/g*g*g*g**11\/g*g*g*(g**(2\/5)*g*g)\/g*g**(-3\/5))**(-26) assuming g is positive.\nAnswer: g**(-2184\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1 - -2?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the third derivative of -j**6\/480 + j**5\/60 + j**4\/6 - 8*j**3\/3 - 2*j**2 + j - 24. Factor p(s).\nAnswer: -(s - 4)**2*(s + 4)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 413 is divided by 107?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pmmpppppmpm. What is prob of sequence mpmp?\nAnswer: 7\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -61, -50, -39, -28?\n\"Answer: 11*o - 72","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/((-52)\/(-78)*6\/8). Suppose -n*m - 78 = -a, 4*a - 4*m + 0*m = 348. Calculate the highest common divisor of 20 and a.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 2 = -r + 29, 0 = -2*z + 5*r + 27. Let d(j) = -j + 12. Let x(f) = f - 12. Let g = 52 + -48. Let v(a) = g*x(a) + 5*d(a). Determine v(z).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-72)\/(-27)*(-9)\/(-6). Suppose 9 = o*s - 115. Round s to the nearest 10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9\/15*370\/(-222)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8, 30, 72, 140, 240, 378, 560?\nAnswer: 792","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 12 = -m, -m - 2 = -2*n + 2. Let b = -8 - m. Suppose -4*y + 3*h = -2*h - 31, 4*y - h - 51 = b. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 3*x**3 - 5*x**2 - 3*x. Determine n(2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/44)\/((-435)\/(-290)).\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the first derivative of x**4\/2 + 68*x**3\/3 + 31*x**2 - 132*x - 348. What is z in p(z) = 0?\nAnswer: -33, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -877 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -218, -436, -654, -872?\n\"Answer: -218*j","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ye when two letters picked without replacement from {e: 1, x: 1, y: 4, n: 1, p: 5}.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5 or 466230?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1102926*p + 2206028*p - 1102996*p.\nAnswer: 106*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4)\/(-1) - (-2 - -1). Suppose z = -y*u - 35, -3 = -3*u + 4*z - 1. Let x(n) = -n**2 - 4*n + 6. Determine x(u).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 37, 44, -214316?\nAnswer: -214316","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1010111100111 + 110001111010?\nAnswer: 10001001100001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1138730135 to the nearest integer?\nAnswer: 33745","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the second derivative of q**4\/6 - 17*q**3\/6 - q**2 + 7*q. Let n be i(12). Differentiate -n + 35 - 3*h**3 + 40 wrt h.\nAnswer: -9*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -195\/2, 2, -5, -1\/7?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -14 - -20. Suppose o + s = 3*o. Suppose 4*m + d - 3*d - 42 = 0, o*d - 18 = -3*m. What is the units digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 18688 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1393837, -1393854, -1393871?\nAnswer: -1393888","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 + 25 = 3*a. Let u = -5 + a. Let v be (u\/(-285))\/(3\/15). What is the second smallest value in 2\/15, -4\/7, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0315557541 to four decimal places.\nAnswer: -0.0316","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -508, -496, -480, -460, -436?\nAnswer: -408","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f + 105 = 9*f + 3*a, -5*f - 52*a = -48*a - 53 for f.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*m + 17*m - 8*m - 25)*(2*m + 2*m - m).\nAnswer: 9*m**2 - 75*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 3 (b) 6 (c) 1\/20 (d) 2\/23 (e) 190 (f) 0.23\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 122528\/57435*(-15)\/(-14).\nAnswer: 16\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5094?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 108*f**2 + 24*f - 11. Suppose -10*w - 56 = -2*w. Is m(w) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mj when two letters picked without replacement from {m: 7, s: 1, z: 6, j: 4, w: 2}.\nAnswer: 7\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 4, g: 6}. Give prob of picking 2 u and 2 g.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 389431 = 6285*z + 100321 for z.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iiqiititiiiqm. Give prob of picking 1 t and 1 m.\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = z**3 + 199*z**2 + 417*z + 43427. Give s(-198).\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 a when two letters picked without replacement from {y: 1, a: 8, k: 3, b: 1, x: 3, d: 3}?\nAnswer: 8\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 59.81 + 1.19. Let f = 63.2 - i. Let p = f - 2.199863. Round p to 5 dps.\nAnswer: 0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 49126 and -1.09?\nAnswer: -53547.34","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 24 (b) 14 (c) 3\/5 (d) 13 (e) -6\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 22*i**2 - i + 1. What is the smallest common multiple of 1 and y(-1)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/29, -7, -20, 109, -0.01?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = q**3 + 10*q**2 - 11*q - 6. Calculate o(-11).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -56a983 (base 13) to base 2\nAnswer: -111110100110101100101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 31738 - 31735. Let l(z) = 2*z**2 + 3*z. Let m(x) = x**2 + x. Let o(d) = -d - 2. Let g be o(6). Determine g*m(n) + t*l(n).\nAnswer: -2*n**2 + n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = v**2 + 5. Let b(r) = -2*r**2 - r - 11. Calculate 4*b(p) + 9*t(p).\nAnswer: p**2 - 4*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*a**4 - 5*a**4 + 2*a**4 + (-6*a**3 + 3*a**3 + 4*a**3)*((-2 + 3 - 3)*(-4 - 3 + 4)*(-62 - 29*a + 62) - 1 + a + 1).\nAnswer: -178*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -139*g = 108*g - 225*g + 396 for g.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2132212 (base 4) to base 6.\nAnswer: -114554","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4070 + 4080. What is the smallest common multiple of d and 598?\nAnswer: 2990","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 237 = 8*d + 13. Suppose -d*k + 5621 = -21*k. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -f**4\/2 - 11*f**3\/2 - 33*f**2\/2 - 37*f\/2 - 7 = 0. Calculate f.\nAnswer: -7, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.2, 0.5, 11, 3, -1\/33?\nAnswer: -1\/33","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 2567620?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -103\/550 and -139\/42900?\nAnswer: 42900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*c + 2*c = 5*h - 18, 0 = -3*c + 2*h - 16 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 151353989?\nAnswer: 151353989","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 3 i when four letters picked without replacement from iiiiiiiniiii?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -284*z + 293*z - 2*v - 79, 2*z + 4*v - 13 - 9 = 0 for z.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 73 divide 13505?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8 + -9. Let w be 1 + 3\/(-1)*x. Suppose i - 102 = -w*b + 55, 4*i + 2*b = 600. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, 0, -3, 3718, -2, -4 in ascending order.\nAnswer: -9, -4, -3, -2, 0, 3718","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = m. Let t be g(7). Let r be -2 - t\/((-49)\/12). Let w = 757 + -758. Which is the smallest value? (a) 2 (b) r (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4 - 7. Let b(x) = -x**3 + 6*x**2 - 6*x - 3. Let r be b(6). Let n = 43 + r. Put y, 1\/6, n in increasing order.\nAnswer: y, 1\/6, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 2*b**3 + 3*b - 3. Let p(c) = 2*c - 2. Let t(u) = u - 1. Let x(y) = -p(y) + 3*t(y). Let l(g) = g**2 - 5*g - 5. Let n be l(6). Give n*a(i) - 3*x(i).\nAnswer: 2*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3 - -106236?\nAnswer: 106242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 6 (base 14) to base 7\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -3d749 (base 16) to base 13\nAnswer: -8a762","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 153 and 98991.\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -15050 - -75252\/5. Let m = 91 - -18. Which is the second biggest value? (a) q (b) m (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -19.8 take away -634056?\nAnswer: 634036.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 22962362149 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 235*s - 259*s + 716664 = 0. List the prime factors of s.\nAnswer: 13, 2297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 25360191?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -y**2 + 8*y - 7. Suppose -3*v + 11 = -4*f + 1, -2*f - 26 = -5*v. Let c be n(v). Find the third derivative of -3*m**2 + m**2 + 3*m**2 + 2*m**c wrt m.\nAnswer: 120*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2555 - -1?\nAnswer: 2556","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6379 to the nearest integer?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 2221441 (base 7) in base 15?\nAnswer: 56407","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 41*b - 33*b - 2474688. Suppose 20*u - 832156 = -b. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6981.\nAnswer: 3, 13, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 w when two letters picked without replacement from {g: 10, n: 6, w: 4}?\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uuucuuunkccffuucu. What is prob of sequence ccuk?\nAnswer: 9\/4760","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/4 + 0 + 12\/16?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -46349*s - 60332?\nAnswer: -46349","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (7*i**4 + 21*i**4 - 6*i**4)*((0 + 5 - 3)*(1 - 1 - 2) + 2 + 2 - 3 + 165 - 14 - 77) as v*i**2 + s*i + a + z*i**4 + d*i**3 and give z.\nAnswer: 1562","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = 5*r - 335, -2*j - 46 = -4*r - 162. Calculate the remainder when 117 is divided by j.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 279 = -a, -2*w + 2*a = 3*w - 695. Let o = w - 87. What is the units digit of o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -81 - -81. Suppose -5*o + 4*o + 3*v = j, -36 = -4*o + 3*v. Let a(d) = -2*d + 28. Let x be a(o). Solve -z + 4*z - 14 = 2*w, -x*w = -2*z + 20 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*f - 2*f = -70. What is the smallest common multiple of f and 23?\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3 (b) -4 (c) 2 (d) 10 (e) 77\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 684, -6, 0.3, -5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 170 and 8.\nAnswer: 680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*y**3 - y**3 - 2*y**3 + (4*y - 5*y + 0*y)*(-2*y**2 + y - y) - 7*y**3 + y**3 + y**3 + 4*y**3 - 7 + 0*y**3 - 5*y**3.\nAnswer: -2*y**3 - 7","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3154032025 + 4?\nAnswer: -3154032021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 11.69 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2 and 17413172.\nAnswer: 17413172","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:01 AM and 5:56 AM?\nAnswer: 115","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 13036209*n**3*w + 3250684*n**3 + 9 wrt w.\nAnswer: 13036209*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (35902\/261 - -18) + (-8)\/(-18). Calculate the greatest common divisor of b and 60.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/205)\/(10\/15*57\/(-190)).\nAnswer: -3\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(12) - sqrt(48))*2)\/((sqrt(4) - (sqrt(4) - (sqrt(4) - sqrt(16)))*-2) + sqrt(4)) - ((3 + sqrt(108) - sqrt(108)) + sqrt(108) + sqrt(108) + 0)**2.\nAnswer: -441 - 217*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1*(-6)\/(-9)*45\/6. Let j be 1*1\/m - 390\/(-75). Suppose -3*p - 4*k + 20 = -0*p, j*k + 5 = 0. Solve -2*x - 6 = 0, n - 2*n - p = x for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 79974127 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o**3 - 18*o**2 - 129. Give s(18).\nAnswer: -129","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 386098 is divided by 3885?\nAnswer: 1483","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -19.2 + 15.2. What is the second biggest value in 3\/5, 1\/8, i?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -6*u**2 + 5*u + 5. Let a(i) be the second derivative of -3*i**4\/2 + 7*i**3\/3 + 7*i**2 - 55*i. Calculate 5*a(m) - 14*d(m).\nAnswer: -6*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.05604 less than 0.3?\nAnswer: 0.35604","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 535 minutes after 7:06 PM?\nAnswer: 4:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 110*q**2 - 36*q**5 + 292*q**2 + 7*q**3 + 133*q**2 + 87*q**2 + 6*q**3 wrt q?\nAnswer: -2160*q**2 + 78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 3\/50 of a gram?\nAnswer: 60000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 36567 (base 11) to base 12.\nAnswer: 26523","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -m**3 + 11*m**2 - 15*m - 13. What is the remainder when 13\/((-5)\/(-4) - 1) is divided by d(9)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*z + 8*z + 11*z + 0 + 0 - z + (5 + 1 - 4)*(-2*z + 2*z + 2*z) + 4*z - z - 2*z + 5*z + 0*z - 8*z + (4 + 1 - 3)*(z + 2*z - 4*z).\nAnswer: 15*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-56)\/(-10) + (-100)\/(-250)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32434273 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 62\/14 - (-4)\/7. Solve -5*y + m = -0 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - 1 + x + (10 - 14 - 2 + 2*x)*(-1 + 2 - 2)*(-14 - 1 + 4).\nAnswer: 23*x - 66","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 69 = 3*l + 243, 3*l - 162 = -4*j. Suppose 0*i + 432 = i. Calculate the greatest common divisor of i and j.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*v**3 + 5*v**3 - 16*v**3.\nAnswer: -5*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 1.412, 9, -0.2, -0.4 in increasing order.\nAnswer: -0.4, -0.2, 1.412, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -324*o**2*w + 8*o**2 + 2*o*w - 9*o - 358244*w wrt o?\nAnswer: -648*o*w + 16*o + 2*w - 9","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -i + 35. Let g(n) = -3*n**2. Determine g(l(q)).\nAnswer: -3*q**2 + 210*q - 3675","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -1 (b) -2\/9 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7\/9449024 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -24545*l**3 - 5*l**2 - 2570*l wrt l.\nAnswer: -147270","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27*j**2 + 185*j**2 + 46*j**2 - 49*j**2.\nAnswer: 209*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = k**3 + 7*k**2 - 20*k - 13. Let m be g(-9). Suppose m*y = 68 + 7. Calculate the greatest common factor of 5 and y.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*(0\/1)\/((-8)\/4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 4*s**2 + 5*s + 3. Let k be r(-4). Let m = -27 + k. What is the least common multiple of 4 and m?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4689102um to meters.\nAnswer: 0.0000004689102","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3\/(9\/3) - -1. Suppose -18 = -b*f - 4*d, -5*d + 25 = 3*f - 0*f. Solve 2*v - v - f = 0 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.773769 nanometers in millimeters?\nAnswer: 0.000003773769","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1893*k = 6653 + 23635 for k.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1025678*-0.05.\nAnswer: -51283.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2185966?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 65609900 to the power of 1\/2, to the nearest integer?\nAnswer: 8100","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 98 and 94766?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 8*n**2 + 47*n**2 + n**2 - 2 + 2 + 2*n**2 + (-n + 4*n - n)*(0 + n + 0) - 2*n**2 + 2*n**2 + n**2.\nAnswer: 61*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2281*w + 1729 = -2262*w. Solve -26*v = -w*v - 390 for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (22 - 18) + 3 + (-9 - 1)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1095 and 285.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (23 - 3) + -49 + 36\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 25*a**2 + 21*a + a**4 + 24*a**2 + 11*a**3 - 20*a - 8*a**2 to j*a**4 + u*a**3 + t*a**2 + v*a + h and give t.\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -5*a + 3*a + 0 + 5. Let q = 3 - 5. Let h(i) = 6*i - 1 - 4 - 5*i + 3. Determine q*u(f) - 5*h(f).\nAnswer: -f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -139*g - 2227. Let k be d(-16). What is the third smallest value in k, -25, 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/9*30618\/312984?\nAnswer: 1\/46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3703)\/322*3\/((-12)\/16*2).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 6*u + 3. Let m(c) be the third derivative of c**4\/12 + c**3\/6 + 103*c**2. Determine -17*m(j) + 6*v(j).\nAnswer: 2*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (-3 + (sqrt(700) + (sqrt(700)*-3 - sqrt(700)))*4*3)*-2)**2.\nAnswer: 14400*sqrt(7) + 3628900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 24\/4*112\/(-6). Let r be (-28)\/x + (-337)\/4. Let a = 194 + r. Is a a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 676, -52, -8.\nAnswer: -52, -8, 676","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -r**2 - 18*r + 229. Let b be t(-27). Which is smaller: b or -2\/17?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1 - (-82)\/(-42)) + (-6)\/(-21). Let o = 22 - 41. Let z = o + 19.6. What is the third smallest value in r, -1\/4, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 438688486.\nAnswer: 2, 219344243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 4*f = 117, -3*o + 0*f = 3*f + 117. Suppose 17*b + 1022 - 325 = 0. Let a = o - b. What are the prime factors of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dggedugegagagegeuu. What is prob of sequence ueau?\nAnswer: 1\/1530","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6 - -2)\/(7 + -2)?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -114? (a) -1\/4 (b) -3\/2 (c) -0.0651 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*r - 18*r + 6*r)*(-3 - 1 + 1).\nAnswer: 36*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 25 - -3 - (70 - (68 + -17)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -10000000000101111001 (base 2) in base 11?\nAnswer: -329209","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -34a6bb (base 12) in base 13?\nAnswer: -238b1a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.2 (b) -15 (c) 4 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 397411349 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z when two letters picked without replacement from zththzhzthtzzhj?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = u**3 + 20*u**2 + 26*u + 83. Let n be k(-16). Suppose n = -a + x - 0*x, -2081 = 3*a + x. What is a rounded to the nearest 100?\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1462180 and 49590.\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 9\/(-6)*(-15)\/(-9) - 120\/(-16). Suppose -2*k = -0*k. Let b be 1 - 1 - k\/1. Solve b = d - w + 2 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2595.9 + 2604. Put 0, 5, o in descending order.\nAnswer: o, 5, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -11413 + 2683. Is (4\/6)\/((-20)\/j) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.1 * 5.7\nAnswer: -6.27","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5247?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 18 and 544?\nAnswer: 4896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 142 = -3*s, s = 5*s - 8. Let o = v - -266. Calculate the highest common divisor of 22 and o.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:29 AM and 1:37 PM?\nAnswer: 488","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*q - 29*q = 2*z + 14, z - 23 = -5*q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -4*m**2 - 86*m + 5421. What is the units digit of z(0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -418716 or -418715?\nAnswer: -418715","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3.4 + 0.6. What is the third smallest value in 1\/4, -1, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -52, -118, -246, -454, -760?\n\"Answer: -3*p**3 - 13*p**2 - 6*p - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 15*j - 33. Let n(h) = 5*h - 12. Let v(p) = -4*a(p) + 11*n(p). Let f(g) = 7*g**2. Determine f(v(l)).\nAnswer: 175*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 152 minutes before 6:46 PM?\nAnswer: 4:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -94.592 times -4\nAnswer: 378.368","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 3*z = -10, 4*g + 3*z + 15 = 0. Sort 1, -4, g.\nAnswer: -4, g, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6*z - 3*b - 60 + 48, 3*b = -3*z - 21 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 13*v**2 + 9*v. Let o(q) = q**2 + q. Let h = -33 + 15. Let w(m) = h*o(m) + 2*b(m). Let y(n) = -2*n**2. Calculate y(w(f)).\nAnswer: -128*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/14 - (-15)\/140*-4. Let y = -0.1 + 0. Which is the second smallest value? (a) 2 (b) y (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 179*b + 148. Suppose -5*f - 4*n + 125 = 0, 0 = 3*f - 0*n + 5*n - 88. Is i(f) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*f - 172 = -112 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 165, 389, 987, 2145, 4049, 6885?\n\"Answer: 31*k**3 + k**2 + 4*k + 129","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 101000110010000 (base 2) to base 7\nAnswer: 114606","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1443123 (base 8) to base 3\nAnswer: 202220002100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 616987 to the power of 1\/3, to the nearest integer?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15645?\nAnswer: 3, 5, 7, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -692922.1845 to the nearest 100.\nAnswer: -692900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-12)\/4 - -2) + 4. Suppose 3*l = 2*h - h - 7, -3*l = -r*h + 15. Let u = -1500\/29119 + -2\/787. Are l and u nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:42 PM and 8:32 PM?\nAnswer: 470","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ugukuguguggugugggug. Give prob of sequence uukg.\nAnswer: 35\/5814","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -10*i - 524. Let o be z(0). Let f = 244 + o. What is f rounded to the nearest 100?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -26*j**3 - 13*j**3 - 87*j**3 + 21*j**3 - 32*j**2 in the form b + m*j + f*j**3 + r*j**2 and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -31392 + 31623. Let n be ((-28)\/(-2))\/((-1)\/(-22)). What is the greatest common divisor of j and n?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = 2*t - 3*h - 8, 4*h = 2*t - 14. Let p(d) = 3*d - 8. Let y be p(t). Suppose -y*c - 5649 = -14*c. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 2*o + 15206 = 2058, -3*b - 4*o = -9839. List the prime factors of b.\nAnswer: 3, 5, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 4*j - 32 = 0, -3*b = -j - 10 - 16. Is (-4)\/b + 1068\/8 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-744)\/(-2728) - (-50)\/(-22). Put -1\/4, y, 5 in increasing order.\nAnswer: y, -1\/4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -522.952 + 521. Let q = 0.048 - f. What is the closest to 0.2 in 0.4, q, -5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 714731768 - -0.01?\nAnswer: 714731768.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -6\/11, -1, 0.07, 975, -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (120\/35)\/(-4)*-42*22\/1188.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2141632.\nAnswer: 2, 109, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*v**4 - v + 0 - 12 + 2*v**3 - 2*v**2 + 8 to o*v**3 + w*v**2 + d*v + l*v**4 + i and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -6*u**3 - 12*u**2 + 16*u - 39. Is n(-10) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) be the third derivative of t**8\/48 + t**4\/4 + 12*t**2. Find the second derivative of x(q) wrt q.\nAnswer: 140*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -12 + 0. What is the second smallest value in -1\/3, x, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-96)\/864)\/((3\/(-6))\/((-2)\/(-4)))\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in y**3 + 78498*y**2 - 78511*y**2 - 2*y**3.\nAnswer: -y**3 - 13*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 464\/143*1 + 8\/(-52) and -25\/4.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(76) + (1*sqrt(76) - sqrt(76))*2 + (-6*(sqrt(76) + (sqrt(76) - sqrt(76)*-3) + sqrt(76)) - sqrt(76)))\/((sqrt(2880)*3)\/sqrt(5)).\nAnswer: -sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 335454 and 0.4?\nAnswer: 335453.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 2620858 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: Suppose -7*z = 66 - 80. Let b be 82\/z + (-8)\/2. Sort -3, -2, b in decreasing order.\nAnswer: b, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -k. Let n be x(4). Let i(o) = -12 - 31*o**3 + 19 + 48*o - 16 + 30*o**3. Let v be i(-7). Is v greater than n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1210 and 8410.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 + 1 + 2*w)*(1 - 9 - 3) + w + 3 - 3)*(-102*w + 50*w + 78*w).\nAnswer: -546*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-12)\/5 + (-4)\/(-10). Let s be (-6)\/(((-40)\/48)\/((-5)\/9)). What is the nearest to -1 in s, w, 4?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/(27\/(-4)))\/(3322\/(-1359))?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 98318 is divided by 20.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-41 - (-80 + 34)) + (-6 + 1 - 2).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -2*s + 9. Let r be a(3). Let p(o) = -7*o**r - 6*o**3 + 0*o**2 + 11*o**3 + 4*o - 3 + o**2. Let k = 31 + -29. Determine p(k).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28100 is divided by 28088.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 308 and 78?\nAnswer: 12012","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7 and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 58 + 15*c**3 - 2*c**2 - 51 - 14*c**3 + 6*c**2 in the form i*c + m*c**2 + k + s*c**3 and give m.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 1, w: 1, h: 5, d: 1, r: 4}. Give prob of sequence dha.\nAnswer: 1\/264","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4.2 - 3.7. Which is the third smallest value? (a) -3\/7 (b) -1\/4 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - f - 20 = 0. Suppose -3*r + 88 = r. What is the remainder when r is divided by (f\/(-6))\/((-2)\/(-24))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = k**3 + k + 17600000. Let u be q(0). What is u rounded to the nearest one million?\nAnswer: 18000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 4*q + 23 = 0, -7*q + 2*q = -5*j - 50. Let h(v) = v**2 + 8*v + 7. Let x be h(j). Find u, given that 2\/5*u + 6\/5*u**2 + 6\/5*u**3 + 2\/5*u**4 + x = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1084 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.0380162 litres?\nAnswer: 38.0162","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0 - -35. Let f = k + -47.6. What is f rounded to the nearest integer?\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -24323, -97226, -218739, -388868, -607619, -874998, -1191011, -1555664?\nAnswer: -1968963","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 44935 from 1595.\nAnswer: -43340","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.3, -1, -5, -0.12368, -46\/11, 4?\nAnswer: -46\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.68 rounded to 1 decimal place?\nAnswer: -2.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.5 (b) 1\/29 (c) -0.4 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 at least -202\/25?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 187 and 3833109?\nAnswer: 42164199","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 11441 - 11439. What is the third smallest value in -0.5, f, -0.7, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1299428634430\/3393 - 765946723\/2. Let j = -18986 + 7157786\/377. Let c = h - j. Find the common denominator of c and 29\/4.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 14\/(-70) + 12392\/10. Calculate the greatest common divisor of 21 and q.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5323?\nAnswer: 5323","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*(84\/(-48) - (1 + -2)).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (26\/10)\/((-13)\/(-65)). What is the highest common factor of x and 169?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 1 + n)*(-n + 0*n - n + (n - 6*n + 2*n)*(-5 + 4 - 2) - 2*n + 0*n + 0*n) to g*n**2 + p + q*n and give g.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 4862855 a multiple of 47?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 460.\nAnswer: 2, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w = 24*o + 370, -96 + 41 = 3*o - 5*w for o.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*b**2 + 387*b - 3*b**2 + 2*b**2.\nAnswer: -b**2 + 387*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 n when two letters picked without replacement from {j: 1, r: 2, y: 3, k: 2, n: 4}?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -2162 divided by -170\nAnswer: 1081\/85","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*d - 0 - 2. Let s = 0.01 - -3.99. Sort -5, s, d.\nAnswer: -5, d, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (308*h**2 + 22118*h - 22118*h)*(-2*h**2 + 1 + 5 - 2).\nAnswer: -616*h**4 + 1232*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the second derivative of -d**7\/105 + d**6\/20 - d**5\/15 - 25*d**2 + d - 157. Let h(u) be the first derivative of k(u). Factor h(g).\nAnswer: -2*g**2*(g - 2)*(g - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 164 + 158 = 0. Sort 2\/79, -2, l in decreasing order.\nAnswer: 2\/79, -2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 49 by 3.\nAnswer: 49\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.3 (b) -3\/7 (c) -0.92 (d) 0.4 (e) -3\/11 (f) -1 (g) -147\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1226 - 419. What is the remainder when 50\/(-40) + g\/12 is divided by 18?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 92 + -620302?\nAnswer: -620270","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -19 - -30. Suppose -4*u - o - 13 = 0, -4*u + 0*o - b = -o. Let j be -5*((-18)\/(-15))\/u. Solve 0*r + j*r - 4 = 0 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ajja when four letters picked without replacement from {j: 5, a: 9}.\nAnswer: 60\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 95 = -10*r. Suppose -2*v = -5*v + 5*t + 1, 2*t = -5*v - r. What is the tens digit of 20 - -5 - (-9)\/v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8*l**2 - 410*l + 102.\nAnswer: 2*(l - 51)*(4*l - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**2 + 25*a + 24.\nAnswer: (a + 1)*(a + 24)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 37319 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1571663, -5, 3, 5.\nAnswer: -1571663, -5, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -26 times 308638?\nAnswer: -8024588","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-2)*c)\/(c*c*c**(1\/3)*c)*c**(-8)*c**(5\/2)\/c*c)**3 assuming c is positive.\nAnswer: c**(-59\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = d**2 + 1. Let b be q(-1). Suppose -3*s - 506 = -b*t, -243 = -t + 6*s - 2*s. What is t rounded to the nearest 10?\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y*(y\/y**15)\/y*y**32 assuming y is positive.\nAnswer: y**18","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate i**2*r*x + 538*i**2*r + 70*i**2*x - 2*i*x + 3*r*x wrt x.\nAnswer: i**2*r + 70*i**2 - 2*i + 3*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -5*p. Let l(b) = -583*b**2. What is l(d(h))?\nAnswer: -14575*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2148544 is divided by 785?\nAnswer: 784","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -354.03 * 1.61\nAnswer: -569.9883","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 3, -0.0498, -0.5, -9, 3.1, -2\/7?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - -2) + 3 + (-6 - -5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-6)\/21 - 1878\/42. Let p = -48 - g. List the prime factors of -4 + 0 + 25 + (-6)\/p.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -25 - -52. What is the tens digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-15)\/(-10)*(-26)\/(-6)*(-79)\/(11297\/44).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:27 AM and 5:40 AM?\nAnswer: 253","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -26*i - 428. Calculate the remainder when d(-21) is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = z**3 + 4*z**2 - 6*z. Let o(c) = -2*c + 2. Let u be o(-4). Suppose -2*q + 4*k - 4 = 6, 2*k = -2*q - u. Determine j(q).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 261146?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 7 + 16 + -13 + -12\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2916.15 plus 190253?\nAnswer: 193169.15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1 + 12. Let t be (1 - 2)*v\/(-1). Calculate the highest common factor of 44 and t.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 130*w - 615*w - 177*w + 160*w - 679*w as f*w + a and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9\/23, -5, -67863, -7 in ascending order.\nAnswer: -67863, -7, -5, 9\/23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:02 AM and 11:16 AM?\nAnswer: 194","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 5*u = w + 41, 0 = 5*w + 4*u. Let m be (40\/w)\/(4*(-2)\/16). Put 1, m, -4 in descending order.\nAnswer: 1, -4, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5) + (sqrt(5) - sqrt(25)\/(sqrt(35)\/sqrt(7)))**2 + sqrt(5))*-3 + (-2*sqrt(15)\/sqrt(3) - ((1*sqrt(40))\/sqrt(8))**2).\nAnswer: -8*sqrt(5) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46*a + 6 = -362 for a.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 6\/(-4)*(-2)\/1. Let o(g) = g**3 - 5*g**2 + 3*g - 2. Let t be o(5). Solve -5*f + d = -d - t, 3*d = n*f - 6 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = 5*x + 1491, -2*p + 588 = 3*x - 2355. List the prime factors of p.\nAnswer: 2, 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide 103978?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5 + -2. Suppose -v + 4 = d*v. Is (2\/((-6)\/(-159)))\/v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -38246*a**2 + 19136*a**2 + 19111*a**2.\nAnswer: a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 65\/(-13) - (1 - 5). What is the third smallest value in t, 0, -1.8?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 10012 = 5*g - 2*k, 4*g + 2*k - 8004 = 0. Let d(u) = -2*u + 0*u - 2000 + g. Calculate d(6).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*l + 19 = 59. Solve l*k = -f + 14, -3*k - 4*f = -f - 15 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23024 divided by -5756?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 2, -3\/17, -1\/3, -2\/3, 4\/19?\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from elxxxxmem. Give prob of sequence ex.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 65 divide 585?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -118414 (base 10) to base 4.\nAnswer: -130322032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -893.247239 rounded to the nearest ten?\nAnswer: -890","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -5 (b) -0.28392 (c) 0.21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 31 - 31.5. Let u = -20 + 20.02. Let w = -2.02 + u. Which is the third biggest value? (a) -1\/8 (b) w (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k**11*k)\/k**(-9))**(-24)\/(k**(-3)*k*k*k**(1\/5)\/k)**(-50) assuming k is positive.\nAnswer: k**(-618)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -1031101111 (base 4) to base 14\nAnswer: -834b3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00021264 to 5 decimal places.\nAnswer: -0.00021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -55*f**2 - 2*f + 2. Let x be u(-4). Let y = x - -1470. Round y to the nearest 100.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2398*j - 3933*j - 4558*j - 15451 = 71661 for j.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*n = 20933 + 29863. Let q = 2757 + n. Is q a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - (-10)\/30*(5 + -2).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 1.181*-0.09746\nAnswer: -0.11510026","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a millennium in years?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = v**2 - 3*v - 7. Let n be k(5). What is the derivative of -5*m**3 + 0 + 4*m**n + 2 wrt m?\nAnswer: -3*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*v**3 - 2*v**3 + 255*v**4 + 55*v - 252*v**4 wrt v?\nAnswer: 36*v**2 - 24*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1533 from -21228.\nAnswer: -19695","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 763 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -20.7 + 20.7197. Round z to 2 decimal places.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-80370)\/(-30875))\/(-141)*(20\/9)\/(6\/9)\nAnswer: -4\/65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2548230 - -0.4.\nAnswer: 2548230.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1785 and 79611.\nAnswer: 357","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -1, -2, 0, 6, 2, -101 in ascending order.\nAnswer: -101, -2, -1, 0, 1, 2, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -0.2*-669.099\nAnswer: 133.8198","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -12551\/3 + 4183. Sort r, -38\/5, 3\/5, 0 in decreasing order.\nAnswer: 3\/5, 0, r, -38\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*o + 20*o = 5*m - 114, 26*m + 128 = 29*m - 35*o - 27*o for m.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 4, u: 1, a: 1, d: 3, e: 3, s: 5}. What is prob of sequence au?\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*a**5*t - 4*a**3 - 95*a**2*t wrt a?\nAnswer: -180*a**2*t - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 69252 + -69252.0000087574. Round w to seven decimal places.\nAnswer: -0.0000088","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5275333865 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -53165\/8 - -6643. Is 19 equal to a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -14, -3, -2\/11, 4\/3475, 5 in decreasing order.\nAnswer: 5, 4\/3475, -2\/11, -3, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 28*r - 14300 + 3212. Let w = r + 94. What is the greatest common factor of 10 and w?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*n - 10, 38 = 2*g - 0*n - n. What is the units digit of g?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 5*q, -3*j - 3*q - q = -96. What is the smallest common multiple of 21 and 3*j\/(-8)*-2?\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12105859 is divided by 367?\nAnswer: 364","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -30*r**2 + 5. Let q(t) = t. Give q(i(k)).\nAnswer: -30*k**2 + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 830189*i. Let p(q) = 10*q**2. What is u(p(d))?\nAnswer: 8301890*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) be the second derivative of -1\/3*w**3 + 2*w + 0*w**2 - 17. Let h(t) = 5*t. What is h(u(r))?\nAnswer: -10*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 27991 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -2*d - 4. Let t be h(-6). Suppose 8 = 2*a - t. Does 2 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) be the first derivative of 6*f**3 + 16. Let k(x) be the second derivative of x**4\/4 - 46*x. Determine d(k(s)).\nAnswer: 162*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 4*d**2. Let y(r) = -15*r**2 + 12*r + 12. Suppose -2*x + 6 = 4*x. Let u(j) = j + 7 - 3 - j**2 - 3. Let a(t) = x*y(t) - 12*u(t). Give a(i(b)).\nAnswer: -48*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -1698699 divided by 9?\nAnswer: -566233\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:04 AM and 1:32 PM?\nAnswer: 568","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 1\/10 of a millisecond?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1989 = -25*q + 25989. Is q a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1*-27)\/3 + 3. Let w be (-3)\/(-2) + p\/4. Suppose -4*j = 3*n - 17, -3*j + 16 = -n - w*n. Is n at most 3\/10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -140 = -9*a - 23 for a.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 28\/6 + (-6956)\/1443.\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15774\/(-6453) - (-512)\/180?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 284, 280, 274, 266?\n\"Answer: -p**2 - p + 286","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10111111010111010111011100 - -11?\nAnswer: 10111111010111010111011111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 11 - 6. Let j = 1 + 1. Suppose g = -x + 2, g - 4 = -j*x + 2. Which is the second smallest value? (a) u (b) 3 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 15 + -25. Let q = 4 + 1. Let d = q + t. Which is the third biggest value? (a) d (b) 1\/2 (c) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 1, m: 1, a: 1, j: 2, v: 1, i: 2}. Give prob of sequence ijiv.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -39\/6480232 and -38\/9?\nAnswer: 58322088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4.7 - 5. Let g = -9.9 + 10. What is the nearest to g in 2\/11, z, 2?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.13 + -0.187. Let h = -0.717 - k. Let f = -0.65971 - h. Round f to 4 decimal places.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 65950, 65281, 64614, 63949?\nAnswer: 63286","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 172.744242 to the nearest 10.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -205 + 103. Let p = 101 + i. Which is smaller: p or -9\/31?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 30.017 - 0.017. Let y = -30.0013 + i. What is y rounded to 4 decimal places?\nAnswer: -0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 331 minutes before 10:49 AM?\nAnswer: 5:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14\/(-14)*-1*(-4)\/(-38)?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39 = -4*m + 3*d, -5*d = 3*m + 10 - 3. Suppose i = m*i - 175. Calculate the greatest common factor of i and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2372179 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 126 minutes before 6:13 PM?\nAnswer: 4:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**0*r*r\/(r\/(r*r**4)))**(-43)\/((r**(-5)\/r*r)\/(r*r*r*r\/((r\/r**3)\/r)*r))**(7\/11) assuming r is positive.\nAnswer: r**(-2747\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 6\/(-2 + 5) - -4. Suppose 0 = -h*v + 11*v - 30. Suppose -13 = -v*t + 5. Solve 2*z - 7 - t = 0 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 6 - 4 - (-1 - 0). Suppose -y + 2027 = -2*z, 3*z - 558 = g*y - 3600. Let u = z + 1518. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 + (-16)\/40*5\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -584744901021 + -0.2?\nAnswer: -584744901021.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*r - x = 3*r + 2, -25 = 5*r + 4*x. Suppose 2*v = 5*c - 1, 3*c - 44 = -4*v - v. Suppose -13 + 0 = 3*m - 4*b, -3*m - v = 2*b. Which is bigger: r or m?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = g - 6 - 3. Let j = 14 - g. Let y = -4 + j. Solve -y + 3 = -k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = 3*k + 8, 0 = -0*k - k + 4. Let o = 0 + 2. Suppose o*j + j = 0. Solve -2*m = y*r - 22, r - 7*m + 2*m + 22 = j for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3208829*s**5 + s**2 + 504*s + 11169.\nAnswer: -192529740*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 108 is divided by 43?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - -13) + (-113 + 62 - -27)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jslqq. Give prob of sequence lsq.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -60 less than -114684517?\nAnswer: -114684457","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 3*r**2 - 4*r - 2. Give s(2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the first derivative of a**2 - 51 + 0*a + 43\/3*a**3. What is the second derivative of w(f) wrt f?\nAnswer: 86","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2025 by -12.\nAnswer: 675\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) be the second derivative of -z**5\/20 + z**4\/6 - z**3\/2 - 3*z + 7. Suppose 0*s = -2*s + 4. Determine a(s).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-21)\/(-9) + -3)\/(4\/(-342)). Let p = -57 + h. Let y be (1 + 837\/(-825))*10\/4. Which is smaller: p or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) be the first derivative of -s**4\/3 + 16*s**3\/9 - 2*s**2 + 18. Factor t(q).\nAnswer: -4*q*(q - 3)*(q - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j**3\/3 + 469*j**2\/3 + 2845*j\/3 + 2375\/3 = 0 for j.\nAnswer: -5, -1, 475","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 4, -0.5, -1, -10, 0.2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4644 - -4568) + (-3 - 36)?\nAnswer: -115","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*i - 2*i - 9*i**2 - 4*i**3 + 7*i + 9*i**2.\nAnswer: -4*i**3 + 3*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-88)\/20 + 55\/11?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 53\/4 of a kilogram in grams?\nAnswer: 13250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -97*v**4 - 114592*v**3 + 318020*v**2 + v - 12 wrt v?\nAnswer: -2328*v - 687552","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 22131 - -11?\nAnswer: 22202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -5\/41 not equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 21? (a) -41 (b) 3 (c) -0.4 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 8805.8 + -8806. Let x = -36 + 32. Which is the closest to 2\/3? (a) -0.4 (b) -3 (c) v (d) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 629 + -628.99999931. What is b rounded to 7 decimal places?\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*f - 4*x + 38196, -5*f + x + 32082 + 6094 = 0. Is 12 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -308, -1342, -2962, -5168, -7960, -11338?\nAnswer: -15302","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3356.\nAnswer: 2, 839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -18 + 15. Sort j, 0, 2 in increasing order.\nAnswer: j, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 5*j = -1336, 8*h - 2*j = 3*h + 3311. What are the prime factors of h?\nAnswer: 3, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = t + 7*t - 6*t + t + 20. Let g be a(8). Find the second derivative of -15*k**5 + 16*k + 0*k**5 - g*k + k wrt k.\nAnswer: -300*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5 or -0.6?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 3*m**2 - 162*m + 348. Suppose 3*c = -3*q + 417, 2*c = q - c - 135. What is the remainder when q is divided by o(52)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-16 + 2*o + o + 12)*(-4 - 8 + 1).\nAnswer: -33*o + 44","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 103874?\nAnswer: 2, 167, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 3*i - 35959 = -11268, 0 = m + i - 4937. What is the thousands digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 1240?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*z**3 + 8*z**3 - z**3 + 9*z**3 - 24*z**3.\nAnswer: -3*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*r**2 - 47457*r + 474870.\nAnswer: -3*(r - 10)*(r + 15829)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5.1 + 31.1. Let f = 26.019 - n. Let w = 0.01 - f. What is w rounded to 2 dps?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 69861 and 609.\nAnswer: 489027","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5.68 + -1.68. What is the closest to 2\/7 in b, -2\/23, -0.5?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -125\/1512 and -187\/1092?\nAnswer: 19656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 304*i - 4*q = 301*i - 26, -5*i = -q + 15 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -6548 divided by 4?\nAnswer: -1637","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4491?\nAnswer: 3, 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 4831 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 402*u = -641*u - 577*u + 25920 for u.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4938*r + 4958*r - 173552 = -25472. What is the hundreds digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) -3 (b) 3\/4 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**0*c)\/((c\/((c*c\/c**(-10\/7))\/c))\/c)*((c\/(c\/c**(1\/3)))\/c)**(-18) assuming c is positive.\nAnswer: c**(108\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 157358\/(-3116) - 54\/(-4)?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -m**2. Let c(g) be the third derivative of g**5\/4 - g**3\/3 - 38*g**2. Give s(c(f)).\nAnswer: -225*f**4 + 60*f**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 8*v**2 - 25*v + 3. What is the hundreds digit of q(6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -1, 4159452, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 14141299?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -8*a + 34*a**2 - 2*a - 3*a - 3 + 10*a. Let b be o(-4). Let w = 336 + b. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 20 - -39. Suppose 3*m - 2*k = 129, 2*k + 115 + v = 4*m. Is 1\/(-5) - (-1584)\/m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -13*k - 14. Let g be u(-6). Let j = 94 - g. Is 6 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 156986 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 greatest common factor of 4592 and 39984.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = -4*t - 3*s, -4*t + 2 - 18 = -4*s for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2.284, -2, 0.48?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*y = 6*y + 2. Factor 1\/2*j + j**y - 1\/2*j**3 - 1.\nAnswer: -(j - 2)*(j - 1)*(j + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 8\/(-2) + 1079\/261. Let r = g + 9\/29. Which is the nearest to 1\/4? (a) -0.2 (b) r (c) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = l**3 - 3*l**2 - 15*l - 24. Let y be w(11). Let g = -555 + y. What is the units digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b*b**(-1\/18)\/b)\/b)\/(b*b**(-2\/23))*((b\/(b\/b**(3\/7)*b))\/b)**(-2\/11))**(10\/3) assuming b is positive.\nAnswer: b**(-24385\/4347)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4, 7, 18, 43, 88?\nAnswer: 159","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 484\/2178 + 2\/18*-2?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1629 - 1624. Suppose -2*h - 3*h = -4*q + 143, 0 = 3*q + 5*h - 116. Calculate the remainder when q is divided by b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1389770231 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = b**3 + 14*b**2 + 20*b - 5. What are the prime factors of m(-12)?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*n = 4*d - 8*n + 4, -16 = -4*n. Let r(x) = 3*x - 5. Let h(u) = 5*u - 7. Let g(v) = -5*h(v) + 8*r(v). What is g(d)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 80 and 22.\nAnswer: 880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 138 = -3*n. Let p = -34 - -70. Calculate the remainder when n is divided by p.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 36 and 5493?\nAnswer: 65916","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 2402?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 161 and ((-94)\/282)\/((-1)\/357)?\nAnswer: 2737","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(1\/2)*h*h*h**(-4\/3)*h*h)\/((h**6\/h)\/h**(-17)) assuming h is positive.\nAnswer: h**(-113\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the second derivative of -y**4\/4 - 59*y**3\/2 + 480*y**2 - 3019*y. Determine z, given that j(z) = 0.\nAnswer: -64, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4992290 (base 10) to base 3.\nAnswer: -100101122010122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 397*x = 379*x. Solve 75*n - 71*n - 8 = x for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*-4*((sqrt(78) + (sqrt(78) - (sqrt(78)*1 - sqrt(78))*-2))\/sqrt(6))**2 + 3*(-3 + sqrt(39)\/sqrt(3) + -3)**2 + 1.\nAnswer: -36*sqrt(13) + 980","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 12, 30, -24?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -552 - -503.9. Let w = h + 48.809. Let p = w + -0.372. Round p to 2 decimal places.\nAnswer: 0.34","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 113313000003 (base 4) to base 2\nAnswer: 10111110111000000000011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the third derivative of 0*s**4 + 1\/60*s**5 + 2*s**2 + 0*s + 1\/3*s**3 + 0. Differentiate y(t) with respect to t.\nAnswer: 2*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1154.6022 - -1144. Round x to 1 decimal place.\nAnswer: -10.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 505 minutes after 12:03 AM?\nAnswer: 8:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5983602?\nAnswer: 2, 3, 997267","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31 - 118 - 344 - 90 + i - 314.\nAnswer: i - 897","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 35811 is divided by 358?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = s**3 - 5*s**2 + 2*s - 1. Let t be o(5). Suppose -4*h + 2*k - 38 = -100, -53 = -3*h - 5*k. Suppose -8 = -5*p + 17. Solve p*n - t = h for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -424526*v**2. Let c(h) = -2333*h**2. Give c(s(q)).\nAnswer: -420458683469108*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 448 + 3821*q + 452 + 449 - 1349.\nAnswer: 3821*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -g - 18. Determine h(-8).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 232 and 154280?\nAnswer: 154280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 5*x - 48. Let q be a(10). Suppose 0*f = q*f, -i - f = -6. Let o(m) be the second derivative of -m**4\/6 + 4*m**3\/3 - 3*m**2 + 3*m. Determine o(i).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -45*l**2 - 62*l**2 + 140*l**2 - 49*l**2.\nAnswer: -16*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 5 from 33581.697866.\nAnswer: 33576.697866","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that -2*s**5\/11 - 546*s**4\/11 - 20948*s**3\/11 - 273984*s**2\/11 - 1236800*s\/11 - 1766400\/11 = 0.\nAnswer: -230, -20, -16, -4, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q**2 - 5*q - 76. Give z(-7).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 6320213869 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13459 is divided by 594.\nAnswer: 391","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(1\/25))**(-10) assuming w is positive.\nAnswer: w**(-2\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o when two letters picked without replacement from babobbgoaotagbb.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -23*p. Let d(u) = 48*u + 5306. What is -d(c) - 2*g(c)?\nAnswer: -2*c - 5306","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 5 (base 6) to base 14\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 37866 and -2689?\nAnswer: 40555","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -13.1 + 13.4. Sort -13, 3\/2, g, -0.4.\nAnswer: -13, -0.4, g, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1235512 and 2444.\nAnswer: 754897832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2157839 is divided by 333?\nAnswer: 332","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5735 + -5615. Suppose 3*q - 3*z - 39 = 0, 0 = -q + 3*z + 9 - 2. What is the lowest common multiple of q and c?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*((-1*sqrt(190))\/sqrt(10) - sqrt(19) - 1*(sqrt(19) - -1*sqrt(19)))*-3)**2.\nAnswer: 24624","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the third derivative of h**6\/240 - 11*h**5\/120 - 13*h**4\/24 + 58*h**2 - h. Factor p(i).\nAnswer: i*(i - 13)*(i + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -2*l + 5*c + 8, -2*l + 2*c + 4 = 0. Let o = 587\/629 + -28\/37. Which is smaller: l or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 69 - 330. Is t\/(((-57)\/76)\/((-1)\/(-2))) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22*42\/1155*-19 - -11?\nAnswer: -21\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = -3*t - 102, -2*n + 0*n = -t - 63. Suppose 7*f = 10*f - 5*l - n, -3*f + 69 = 3*l. Let v = 3 - 1. What is the greatest common factor of f and v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4804 is divided by 27.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -4*n - 39. Let m(l) = 2*l**2. Determine m(q(i)).\nAnswer: 32*i**2 + 624*i + 3042","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00014107533 to 5 decimal places.\nAnswer: -0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -46, -103, -138, -103, 50?\nAnswer: 369","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -2*u**2 - 9*u + 3979. What is r(-46)?\nAnswer: 161","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1482.504 minus 34.1?\nAnswer: 1448.404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*j**4 - 4*j**4 - 4*j**4 + (-4 + 4 - j)*(0*j**3 + 6*j**3 - 4*j**3) - 7*j**4 + 7*j**4 + 3*j**4.\nAnswer: -j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 240\/(-280) + 2 + 41236\/7?\nAnswer: 2, 3, 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 26*u - 28*u + v + 10, -5*v + 10 = 5*u. Suppose u*q = 9*q. Solve q = -3*n - 6*n + 27 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*j - 19*j - 2*q = 10, -2*q = -14*j - 26 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -50, 4, 17 in decreasing order.\nAnswer: 17, 4, -50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 0.1*0.0618\nAnswer: 0.00618","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 - 5 + 4)*(2 - 5 + 5) + (-2 + 0 + 1)*(-233 + 126 + 133))*(3*m - m - 3*m).\nAnswer: 24*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -2*k - 17. Let y be j(-5). Are 2\/5 and y non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.18? (a) 4\/5 (b) -0.1 (c) -810 (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + ((sqrt(3) - (1 + sqrt(12)))*6 - -5*(-1*sqrt(3) + sqrt(3))*-3)**2.\nAnswer: 72*sqrt(3) + 143","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*w**3 - 4552148*w**2.\nAnswer: -4*w**2*(w + 1138037)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 751649 and 456907.\nAnswer: 569","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = m**3 + 15*m**2 - 20*m - 88. Let z be x(-16). Let f be (-81)\/z + (-45)\/120. Put -3, -2, -1, f in increasing order.\nAnswer: -3, -2, -1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 73386249?\nAnswer: 3, 24462083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1558 and 4617?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -64168 by -3.\nAnswer: 64168\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -43979821*k**3*u - 6*k**3 + 9247*k - 286 with respect to u.\nAnswer: -43979821*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 49\/1216 and -97\/2390.\nAnswer: 1453120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = l + 7. Let s be t(-5). Let i be (21\/35)\/(s\/10). Suppose 4*n = 2*b + 182, -5*n + 181 = -n - i*b. What are the prime factors of n?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + (36 - 35) + 32.\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 155 is divided by 79.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 8\/210 + (-78)\/(-819)\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 18 and 306?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -229167 - -229200. Let j = 32 + 23. Calculate the highest common divisor of j and a.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 62*f**2 + 136*f - 1818. List the prime factors of c(16).\nAnswer: 2, 3, 5, 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dddddddttdcdcdtcdc. What is prob of picking 2 c?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0 - -14*4\/8. Suppose -2*p = -v*p + 65. What are the prime factors of p?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -1617, -1796, -2015, -2280, -2597, -2972?\n\"Answer: -w**3 - 14*w**2 - 130*w - 1472","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 158584038.\nAnswer: 2, 3, 71, 372263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3\/57301 or 2395?\nAnswer: 3\/57301","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 470014 to the nearest integer?\nAnswer: 686","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2727 + 2741. Solve -3*z - c = -5*j, 1 = z + 2*j - 9 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 6.6 and 6.8.\nAnswer: 44.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = i**3 + 11*i**2 + 24*i + 135. Let k be r(-10). Sort -233, k, -0.3.\nAnswer: -233, k, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8603?\nAnswer: 7, 1229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*p - 3*f + 43, -2*p - f + 20 = 3*f. Find the second derivative of -27*o**3 - o + 2*o + 13*o + p*o**3 wrt o.\nAnswer: -114*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 36*m**4 - 2*m**3 - 9*m + 2. Let z(s) = -145*s**4 + 9*s**3 + 35*s - 9. Let g(j) = 9*x(j) + 2*z(j). What is the second derivative of g(r) wrt r?\nAnswer: 408*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -42.9 + 42.9. Suppose 14*h - 11*h = 3. Let d be (h - (2 + -2))\/(-6). Which is the nearest to d? (a) f (b) 0.3 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-21)\/6 - (-22)\/4. What are the prime factors of (-34865)\/(-19) + -6*v\/(-4)?\nAnswer: 2, 919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.08682102 + 0.2631782. Let i = 4.65 - 5. Let m = z + i. Round m to seven dps.\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-48)\/(-7))\/(-4)*-7. Let p be 8\/r - (-16)\/(-33). Let a = 33352 - 33353. What is the second biggest value in a, p, -5?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 15941, 31892, 47853, 63830, 79829, 95856, 111917?\n\"Answer: q**3 - q**2 + 15947*q - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3008?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 109181 times -2\nAnswer: -218362","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 3*d**2 + 71*d - 88. What is v(-24)?\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -221*y**2 - 228*y**2 + 461*y**2.\nAnswer: 12*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 370442 bigger than -137\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7503 is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 9\/8, 7, -2, -20.1?\nAnswer: 9\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 3, -2, -13, -30, -53, -82, -117?\n\"Answer: -3*p**2 + 4*p + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 4 - 41*z**3 + 39*z**3)*(1 - 1 - 2*z).\nAnswer: 4*z**4 - 2*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 238*c + 2*c**2 - 769*c + 183*c**3 + 305*c**3 + 266*c + 265*c.\nAnswer: 488*c**3 + 2*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2352?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*y**3 - 32393900*y**2 + 65585281128672*y + 65585313522576.\nAnswer: 4*(y - 4049238)**2*(y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.3 in 0.1, 5, -1.6, 69?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16982.\nAnswer: 2, 7, 1213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 8, -1, 13, 3, 4.2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -23933 (base 13) to base 11.\nAnswer: -45052","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1)\/3 + (-40)\/24 + 4. Suppose -x*h + 7*h = 175. Calculate the remainder when 66 is divided by h.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + 15 + -15 + -8?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 22, -1\/42, -2, 154?\nAnswer: 22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 44 + m - 5*m + 52 - 153 + 52. Let b = 5 - 7. Determine s(b).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -20339662268 - -20339684071.409909. Let v = 21801.71 - c. Let t = v + 1.7. Round t to 5 dps.\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*h + 54 = 4*d, -7*d + 4*d - 1905*h + 33 = -1908*h for d.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.314 - 146.686. Let l = o + 99. Which is the closest to 1\/3? (a) -0.3 (b) l (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.65 - 5520434544.\nAnswer: -5520434544.65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -276 + 280. Sort -89, q, 2 in ascending order.\nAnswer: -89, 2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 31*s**2 + s + 5. Let t(l) = -l**3 - 2*l**2 + 5*l + 2. Let h be t(-4). Suppose 2*z + 6 = h. Is o(z) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence txt when three letters picked without replacement from {t: 2, x: 1}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/102*8*(-3)\/(-4). Let u = -325 - -332. What is the nearest to s in -1, u, -4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.089 + 0.149. Sort g, 25, -4\/3, -2\/11 in ascending order.\nAnswer: -4\/3, -2\/11, g, 25","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 4*g = 2*x - 1873, -4*g - 7484 = -4*x. Let j be (g\/6)\/7 - 9\/(-6). Let z = -30 - j. What is the highest common factor of z and 143?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 7, f: 7}. What is prob of sequence fpf?\nAnswer: 7\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**5*z**0)**(-2\/27))**(-2\/69) assuming z is positive.\nAnswer: z**(20\/1863)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 2 - 4 - 52 + 40 + 47 - 2 - 1 + 1 + (-2 + 0 + 4)*(0 + 0 - 2))*(4 - 4 - 14)*(-2*a + 0*a + 4*a) to the form g + r*a and give r.\nAnswer: -784","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.05, -1\/4, -2, -6 in decreasing order.\nAnswer: 0.05, -1\/4, -2, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8484 divided by 7.\nAnswer: 1212","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -12770 + 7092. Let p = j - -5678.0004577. Round p to five dps.\nAnswer: 0.00046","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -4*n**2. Let y be g(1). Let c be y\/(-10) - 4\/10. Let z(f) = -f**2 + f + 1. Let s be z(-1). Which is smaller: s or c?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1202229, 1202216, 1202205, 1202196, 1202189, 1202184, 1202181?\n\"Answer: j**2 - 16*j + 1202244","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n**3 - 25*n**2 + 7*n - 27. Let l be o(-25). Let p = 390 + l. What is the remainder when p is divided by 38?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*w**2\/9 - 17595974*w\/9 + 8797988\/9.\nAnswer: -2*(w + 4398994)*(2*w - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/26*52\/4?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4668, 4666, 4664, 4662, 4660, 4658?\nAnswer: 4656","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (k + 3*k + k)*(4 - 1 + 1).\nAnswer: 20*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -55 + 37. Let y = b - -25. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1100444140 - -203?\nAnswer: 1100444343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = -31*u - 42*u. Sort -2, -359, u, 4 in ascending order.\nAnswer: -359, -2, u, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 960\/(-18) - (-2)\/(-3). Let w be a\/(-10) + 16\/(-40). Solve 2*t + o = -w, 0 = o - 6*o - 5 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2 + 1. Suppose -2*w - 3 + 1 = 0. Let z = o + w. Which is the second smallest value? (a) -2\/5 (b) 1 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 120*d + 48*d + 22*d + 45*d to the form b + g*d and give g.\nAnswer: 235","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -87692 divided by 11?\nAnswer: -7972","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -36*l**4 + 570093*l**3 - 1970*l**2 - 8623*l + 1 wrt l?\nAnswer: -864*l + 3420558","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 674 * -6.23788\nAnswer: -4204.33112","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v**3 - 12*v**2 + 14*v + 15. Let z be c(-13). Suppose 3*i = 17 - z. What is the units digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6 - (-1 + 0 + -2) - 0\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -284 less than 62368?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 22 divided by 99\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i**2\/5 - 129*i\/5 + 54 = 0. Calculate i.\nAnswer: -45, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 33013 to the power of 1\/3, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 15347176 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 + 17\/(-15) + 2601564\/180 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 238*c - 267*c + 42*c**2 + 29*c.\nAnswer: 42*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1917839663.\nAnswer: 59, 2617, 12421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 1, w: 10, f: 4, i: 2}. Give prob of picking 2 w and 1 f.\nAnswer: 9\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/6 (b) 2\/7 (c) -141696 (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -6 - 7?\nAnswer: -d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50*u + 51*u = -2*a + 72221, -2*u = 3*a - 108330. What is the ten thousands digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1 - 1\/(1 - 2). Suppose -6*a + 3 + 93 = 0. Suppose -3*f + t = -a. What are the prime factors of f?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3221721677 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = g**2 - 9*g + 2. Let u be c(9). Let n(w) = -u*w**2 - 4 + 4. Let z(a) = 10*a**2. What is n(z(x))?\nAnswer: -200*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 5, b: 11}. Give prob of sequence ttt.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 11\/3 + -29\/6. Is c at most 0.3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 581 minutes before 6:12 PM?\nAnswer: 8:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2079934? (a) 1 (b) -1 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 115 a factor of 43010?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -15*n**4 + 84*n**3 - 39*n**2 - 30*n.\nAnswer: -3*n*(n - 5)*(n - 1)*(5*n + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 3*l, -u - 3*l + 322 = -8*l. Does 18 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b + 3 = 0, 5*v - 8 = -5*b + 9*b for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7578.\nAnswer: 2, 3, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -12\/13 + 134\/117. Let r = 432 - 429. What is the closest to n in 1\/2, 2\/15, r?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 77\/2 of a microgram in nanograms?\nAnswer: 38500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 3*q = -5*q + 9, 0 = -2*q - 6. Suppose -2*o = -g - 1. Suppose 12 = 3*v - 4*p, -8*p + 13*p = -4*v + 16. Solve o*a + v = 5*a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -257*b + 7266 = 584 for b.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2881*f - 2*f**2 - 2888*f + 6*f**2 + f**2 + 5769*f.\nAnswer: 5*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (29 + 16 - 4)*(-5 + 5 - 3)*(-2*b**4 + b**4 + 0*b**4) as m*b**4 + n*b**2 + j*b + o*b**3 + l and give m.\nAnswer: 123","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -186 - -188. Solve w*q - 2*l = 2*l - 10, -4*l = -3*q - 9 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-32)\/(-20) + -1)*5*1. Let m be (-40)\/(-6) - f - (-2)\/(-3). Suppose 5*r = 51 - 1. Solve -m*w = 2*w + r for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6*a**2*f**3 + 18*a**2*f - 93*f**3 - 11*f wrt f.\nAnswer: 36*a**2*f - 558*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the first derivative of -25\/6*j**2 - 2\/45*j**6 + 5*j**3 - 3\/5*j**5 - 8 + 32*j - 61\/36*j**4. Let h(u) be the first derivative of n(u). Factor h(x).\nAnswer: -(x + 5)**2*(2*x - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1\/4, -1\/50, 4, -11\/6?\nAnswer: -11\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*c - 12*c + 23*c.\nAnswer: -8*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 966*d + 93058 = -2066*d - 2442*d for d.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -229*k = -313*k + 218400. What is the smallest common multiple of 3 and k?\nAnswer: 7800","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8 - 6 - -20) + -1.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -1 - 6*h - 3*h - 4*h**2 - 3 + 13*h + 3*h**3. Let f(t) = -3*t**3 + 3*t**2 - 3*t + 3. Calculate 4*f(k) + 3*g(k).\nAnswer: -3*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 12*s - 2*s**3 - 67 + 9*s + 48 + 10*s**2. Is z(-8) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n\/n**(1\/3)*((n\/((n**(-7\/4)*n)\/n))\/n)\/n*(n*n**(2\/9)*n)**(-27) assuming n is positive.\nAnswer: n**(-703\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 7\/458573156 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the second derivative of 5*q**7\/21 + 2*q**5\/5 + 13*q**4\/2 - q**2 - 84*q. Find the third derivative of f(b) wrt b.\nAnswer: 600*b**2 + 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) be the third derivative of 4*b**5\/15 + b**4\/24 - 585*b**2. Suppose 4*m + m + 10 = 3*k, 5*m - 4*k = -15. Determine s(m).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*d**2 + 55*d**2 + 34*d**3 - 32*d**2 - 35*d**3.\nAnswer: -d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the second derivative of r**5\/4 - 5*r**4\/3 - 5*r**3\/6 + 10*r**2 - 4*r - 305. Determine t, given that z(t) = 0.\nAnswer: -1, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1 - -3 - (-6)\/2. Suppose q*k - 1 - 9 = 0. Suppose 4 = 4*r - 2*r. Solve -k*y = r*y - 16 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 4, 333, 258\/17, -0.3, 2\/7?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -f**2 + 5*f - 5. Let k(l) = -l**2 + 5*l - 3. Let c(v) = 6*k(v) - 5*s(v). Let d be c(-1). Let a(h) = -3*h**3 - h**2 + 2*h - 1. Calculate a(d).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -347256, -347227, -347178, -347109, -347020, -346911, -346782?\n\"Answer: 10*v**2 - v - 347265","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3974 is divided by 147?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - -16 - -1) + (-197 - -203).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1410*c**4 - 4305 wrt c?\nAnswer: 5640*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in 3, -3, 38, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from llllllklk. What is prob of picking 2 l and 1 k?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that -o**5\/3 - 35*o**4\/3 - 200*o**3\/3 + 860*o**2\/3 - 208*o = 0.\nAnswer: -26, -12, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 23*p + 18. What is z(-4)?\nAnswer: -74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the first derivative of -n**3\/3 - 1677*n**2\/2 + 2225*n - 2081. Find the first derivative of d(w) wrt w.\nAnswer: -2*w - 1677","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -283 - -284. Let n = -5 - -2. Is l*n + 90\/1 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7.57 + -8. Let y = v + -19.57. Let s = y + 20.012. What is s rounded to 2 dps?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -151, -303, -455?\n\"Answer: -152*k + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 10 and 99010?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = p - 6. Suppose -5*v = -22 + p. Let l(f) = 6*f + 3. Let x(m) = -11*m - 5. Determine v*x(b) + 5*l(b).\nAnswer: -3*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -10*x + 15*x. Let a = x - -34. Solve o = 3*h + 1, 5*o + a = -5*h - 5 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 5 - h)*(14*h + 19 - 19).\nAnswer: -14*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 8 (b) -2\/3 (c) -23 (d) 0 (e) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -161\/492594 and 85\/104139.\nAnswer: 31033422","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 3*o = -4560, -1139 = -42*m + 41*m + o. What is the units digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6*u - 2 + 2)*(-u + 3*u - 6*u) to the form q*u + z*u**2 + j and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1448094019?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 160 is divided by 1*2 - (-82 - (14 - 16))?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2 and 0.0533515?\nAnswer: -0.106703","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -473.55 rounded to the nearest ten?\nAnswer: -470","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = 3*u - 320. Suppose -4*h = -u - 16. What are the prime factors of h?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4339 divided by -192\nAnswer: -4339\/192","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 9 - 83\/9. What is the nearest to 2 in c, -1\/5, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -57*j**3*q*t + 37*j**3*t**3 + 54*j**3 - 6238*j**2*q - j*t**3 - 21*q*t**2 wrt j.\nAnswer: -342*q*t + 222*t**3 + 324","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -246.050903 to the nearest ten.\nAnswer: -250","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -2 - (9\/3 - 4). Let r be 33\/(-22)*m\/6. Do -47 and r have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(84) + -2*(sqrt(84)*1 - sqrt(84)) + sqrt(84) + sqrt(84))\/(sqrt(36)\/(sqrt(9)\/sqrt(3))).\nAnswer: 3*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1*(-62)\/(-30)*1. Let k = 396 - 1968\/5. Let u = k - f. What is the second smallest value in 1, -3, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 + 56 - (-28 + 57)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3)\/(-6)*(15 + -3). Let q be (1\/2)\/(2\/60). Solve -q = g*i - 3*i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -56530*f - 395710. Calculate x(-7).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*o + 42 = 24. Let u(m) be the third derivative of 0*m - 1\/30*m**5 + 0 + 0*m**4 + 0*m**o - 3*m**2. Let g(p) = 10*p. Determine g(u(i)).\nAnswer: -20*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.28615 to 3 decimal places.\nAnswer: 0.286","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00683152 rounded to 4 decimal places?\nAnswer: -0.0068","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 529708*o**2 + 428445*o.\nAnswer: 1059416","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w\/((w*(w\/(w\/(w*w**(-11))))\/w)\/w)*w*w*w**(6\/7)*(w\/w**(-1\/3))\/(w*(w*w\/(w*w**(-3\/13)*w))\/w) assuming w is positive.\nAnswer: w**(4357\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (561\/(-374))\/(6\/(-32)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 143264?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/10)\/((24\/(-5))\/8)\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 8680814 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 7185943*v**3 - 1356417 wrt v.\nAnswer: 21557829*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((x\/(x**(-1)\/x*x)*x)\/x)\/x*x)**(2\/73)*(x\/(x**(1\/4)\/x))**(-19))**(1\/4) assuming x is positive.\nAnswer: x**(-9693\/1168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -5, -3\/5, 0, -0.1, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1081656, -2163311, -3244966?\nAnswer: -4326621","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 603310073 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2 - (-5 - 3*9\/(-27)). Let i(d) be the first derivative of 0*d - 9 + b*d**3 - 1\/2*d**2. What is the second derivative of i(s) wrt s?\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0 + 1 - 8\/(-8). Suppose -2*a + 9 + 1 = 0. What is the second derivative of 2*z + 2*z - 5*z**a + 2*z - c*z wrt z?\nAnswer: -100*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 191 - 179. Suppose 5*s = a*s - 14. Solve 2*y - 4 = 2*c - 6*c, 0 = -s*c + 4 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2052 and 14?\nAnswer: 14364","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-100)\/8*2)\/1. Let y be m\/85*((-4)\/15)\/(-2). Which is greater: -1 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2, -0.5, -69?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -16735 + 37608. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 5201840157 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 21*d**3 - 2109*d - 94*d**3 + 74*d**3 as x + s*d**3 + c*d**2 + g*d and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4*2*(-35)\/(-28). Let y = h - 8. Suppose -4*a + 0*a - y*s = -332, 2*a - s = 174. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 13, 17, 19, 19, 17?\n\"Answer: -i**2 + 7*i + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that -5*c**4 + 15605*c**3 - 31090*c**2 - 311780*c - 374280 = 0.\nAnswer: -2, 6, 3119","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -27*v - 13 - 37*v + 81*v - 30*v. Let t be l(-2). Find the second derivative of 34*c - 120*c**3 + 56*c**3 + 25*c**3 - t*c wrt c.\nAnswer: -234*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/(i*i\/i**(2\/3)))\/i)**(23\/5)\/(i*i\/(i**(-2\/17)\/i)*i*i*i**(-16)) assuming i is positive.\nAnswer: i**(1211\/255)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2301 and 12390?\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 11*q + 8. Let i(r) = 4*r + 3. Calculate -3*c(j) + 8*i(j).\nAnswer: -j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-o**3 - 2*o**3 + o**3)*(2 - 6 - 1) + 4*o - 4*o + 2*o**3.\nAnswer: 12*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2991*m**2 + 5591*m**2 - 2597*m**2.\nAnswer: 3*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 726 and 5126?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 115 minutes before 12:10 PM?\nAnswer: 10:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -13 + 21. Suppose 2*g = 5*g - 4*g. Suppose g = s - p. What are the prime factors of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 141965156 - 141964087.00491. Let m = v + -1069. Round m to 4 decimal places.\nAnswer: -0.0049","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -99.7209 (b) -1\/3 (c) 2 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1285*f + 21381 + 3577 = -2027 for f.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, c: 1, h: 2, f: 2}. Give prob of picking 1 f and 1 c.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1515 is divided by 1349?\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 7}. What is prob of picking 4 q?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 96*t - 92*t = -q + 1, -63 = -10*t + 3*q for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*v = -14*v - 94 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -a + 40. Let n be y(0). Suppose 2*j - 81 = -g, -4*g + n + 84 = 3*j. Calculate the greatest common factor of 16 and j.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**0)**30*(z\/((z*z**(-2\/3))\/z*z))**(-8\/15))\/(((z\/z**0)\/z)**(-16)\/(z**(-1\/2))**25) assuming z is positive.\nAnswer: z**(-1157\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 71 + -49. Let g = v - 22.0000035. What is g rounded to six decimal places?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1\/3*(-12)\/(-34)*-1\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 250 minutes before 12:46 PM?\nAnswer: 8:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by -1544\nAnswer: -3\/1544","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -306493 (base 15) in base 11?\nAnswer: -1330646","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1 - 0.05932\nAnswer: -1.05932","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -9*k - 17. What is the units digit of y(-6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aaaaaaaaaa. What is prob of sequence aaa?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by 79567839?\nAnswer: 2\/79567839","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -58*s + 80*s - 42*s - 180 for s.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 20024 + 231003?\nAnswer: 301032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 15796 + -24416. Round g to the nearest one thousand.\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -620 - -614. Calculate the common denominator of 63\/62 and (-142)\/f*(153\/(-26) + 6).\nAnswer: 806","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 + 1 + -8 + -13 + (17 - -11) + -7.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0*1\/4 - (-6 - -10). Does 8 divide (-6384)\/(-30) + 0 + t\/(-20)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the third derivative of 8*b**2 + 0*b + 0*b**4 - 11\/120*b**6 + 0*b**5 + 0 + 7\/6*b**3. Differentiate u(o) wrt o.\nAnswer: -33*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 200*b + 11795 = -6205 for b.\nAnswer: -90","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 5 + -1 + (2 - 2)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/14 - (-32370)\/(-910))\/(-1) + -14.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 84604?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.4 and -0.32161.\nAnswer: -0.128644","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 2\/3, 0.01, 3, 2\/5, -1\/23, 4259?\nAnswer: -1\/23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 8d8a + b5?\nAnswer: 8e50","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -752754 divided by -376377?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 352 - 357. Let d = -76 - -81. Let o be 8\/(-70) - (-2)\/5. Which is the nearest to o? (a) d (b) m (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in -0.0142, -0.4, -2?\nAnswer: -0.0142","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -404 divided by -42900\nAnswer: 101\/10725","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = -2*f + 13 + 14 for f.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 62 and 786?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2 - 7137a9?\nAnswer: -713800","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -f**2 + 13*f - 13. Calculate j(8).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + (-1 - -1) + (253 - 245)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2397022 and 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = o**2 - o - 1. Let z(j) = 7*j - 45. Let m be z(7). Let b(q) = -6*q**2 + 5*q + 4. Determine m*u(p) + b(p).\nAnswer: -2*p**2 + p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7 + -10. Let h = 0.25 + -0.05. Which is the nearest to 0? (a) v (b) h (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -48761 + -4.\nAnswer: -48765","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) be the first derivative of 3*j + 3\/2*j**2 + 10. What is the derivative of t(i) wrt i?\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(11) - (sqrt(11) + 2)) - sqrt(352)\/sqrt(2) - (4 + sqrt(66)\/sqrt(96) + sqrt(132)\/(sqrt(24)\/sqrt(2)) + sqrt(11))**2.\nAnswer: -22*sqrt(11) - 955\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -35 and -208471?\nAnswer: 7296485","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 520 minutes before 5:44 AM?\nAnswer: 9:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -w + 7 - 1 - 6*w. Suppose 0 = 4*p - 0*p + 4*f - 28, -4*p + 25 = 3*f. Let h be 36\/(-8) - (-3)\/(-6). Let o(u) = -6*u + 5. Give h*o(y) + p*v(y).\nAnswer: 2*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1016 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*f**4*w + 552*f**2*w + 2*f*w - 2*f + 547*w wrt f?\nAnswer: -24*f**2*w + 1104*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31 + 64 + 32 - 2*u**2 - 125 - 588*u.\nAnswer: -2*u**2 - 588*u + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 9049852993?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 70376.3949 rounded to the nearest one hundred?\nAnswer: 70400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -h. Let w(o) be the third derivative of o**4\/4 - o**3\/6 - 115*o**2. What is -5*t(n) - w(n)?\nAnswer: -n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 + 0)*(4*h - 3*h - h**4 - h**4).\nAnswer: -2*h**4 + h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 14868 and 630?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -70*s - 10. Let i(j) = 5*j. What is k(i(n))?\nAnswer: -350*n - 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 p when two letters picked without replacement from {m: 1, o: 1, u: 2, s: 2, j: 1, p: 2}.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-453)\/2265 - 1\/(-5). Solve i = 22*x + 54 - 10 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-13 - (-832)\/65) + (-27)\/315?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 399061?\nAnswer: 13, 30697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in 0.1, 0.5, -0.4, 10?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 52098.\nAnswer: 2, 3, 19, 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the third derivative of -b**4\/24 + b**3\/6 + 506*b**2. Let t(d) = d**3 - d - 2. Let c be t(0). Calculate n(c).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -27341*g + 109687. Determine p(4).\nAnswer: 323","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1023 + 36b3?\nAnswer: 2690","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qjj when three letters picked without replacement from {k: 1, q: 5, j: 5}.\nAnswer: 10\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + sqrt(1100))*-6)**2.\nAnswer: -720*sqrt(11) + 39636","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -c**2 + 13*c + 107441. Is x(0) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w when two letters picked without replacement from {l: 2, u: 2, y: 4, w: 1, r: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = 2*x, -5*x = -6*r + 2*r. Solve -w = -r*w + 5*m - 21, -4*w - 3*m = -16 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (44\/(-2))\/((2\/(-9))\/(1233\/(-33291)))?\nAnswer: -11\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*m - 3*p - 399, 5*m + 5*p + 395 = -0*m. Let t = -76 - m. Suppose 4*q + 3 = x + t, x + 2 = -2*q. Let a(o) = o + 6. Calculate a(q).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -s**2 + 5*s - 3. Suppose 0 = -a + 36 - 32. Give l(a).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z*z\/z**(2\/5)))**(-8\/7) assuming z is positive.\nAnswer: z**(24\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 - 2)*(12*q**3 - 3 - 6 + q + 8).\nAnswer: -12*q**3 - q + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -0.14*12681\nAnswer: -1775.34","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 9, b: 1, g: 4, j: 1, e: 1, c: 1}. Give prob of picking 3 q and 1 e.\nAnswer: 3\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -d1 - 70?\nAnswer: -141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 411 = -4*q + 5*d + 420, 3*q - 5*d - 8 = 0. Let y(n) = 8*n - 4. Let w(l) = l - 3 + 0 + 2. Determine q*y(h) - 2*w(h).\nAnswer: 6*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1344, -2682, -4002, -5304, -6588, -7854?\nAnswer: -9102","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -101 + 389. Let d = -194 + c. Let o = d - 73. What is the remainder when 53 is divided by o?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -17, 1117, 3, 1 in decreasing order.\nAnswer: 1117, 3, 1, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 314 is divided by 125.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -10*c - 1. Suppose -q - 25 = 4*s, 20*s - 25*s + 2*q = 28. Let w(u) = 10*u + 1. Give s*w(t) - 5*d(t).\nAnswer: -10*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10279, -20558, -30837?\nAnswer: -41116","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 602146.9t?\nAnswer: 602146900000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 274 - 271. Let b be 2 + 0*(-1)\/(-2). Let f = b - 2. Solve 2*o + n = u*n, -3*o + n - 2 = f for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -12 + 8. Let j = 713.19 + -713. Let w be 1\/(-2) - 14\/(-44). What is the closest to -2\/3 in j, k, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-6))\/(63\/(-18)*1)?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4 - -54?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -68.35131 to the nearest 10.\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 235848620?\nAnswer: 2, 5, 7, 31, 1753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -79157\/2 + 40948. Let o = -1404 + w. Find the common denominator of o and ((4185\/(-600))\/(-31))\/(1 - 37\/35).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*b - 111 + 3 = 0 for b.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-3)\/(18\/4))\/(28\/(-276)). Let n = 223\/35 - k. Let y be (-9)\/15 + (-48)\/70. What is the third biggest value in 2\/17, y, n?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4\/(-10)*(1 + 4). What is the closest to 2 in 4, o, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 11\/15 - 7\/5. Let t = 0.1982 + 2.8018. Which is the nearest to -1? (a) -1\/2 (b) v (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 256 = -y, 221 + 44 = -y + 5*b. Let r = y + 418. Suppose 3*k = -k + r. 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: Is 7603291 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.9524 rounded to 0 dps?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -8*l**3 + 66*l**2 + 30*l - 50. Let o(z) = -3*z**3 + 23*z**2 + 10*z - 17. Let m(g) = 4*n(g) - 11*o(g). What is m(-10)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 24\/(-10) + 2 - (-157)\/(-45) and 83\/10.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2755952424?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 598?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/11, -5, 5, 0.2, 50 in ascending order.\nAnswer: -5, -2\/11, 0.2, 5, 50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w**(-19)*w**(-9)*w)\/(w**18*w\/((w\/(w*w**(-1\/14)\/w)*w)\/w)*w) assuming w is positive.\nAnswer: w**(-629\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - f = -18. Let j be 3\/f - (-2)\/4. Is j >= -1\/8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28054000?\nAnswer: 2, 5, 13, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4887 + -4885. Which is the biggest value? (a) 4\/3 (b) v (c) -498\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11808865 divided by -5?\nAnswer: -2361773","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -3*z + 6. Let p(a) = 8*a - 17. Let g(r) = -11*n(r) - 4*p(r). Let m(l) = -4*l - 7. What is 14*g(f) + 4*m(f)?\nAnswer: -2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 1645*i - 3. Let o(d) = d. What is o(m(v))?\nAnswer: 1645*v - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-10))\/(34\/(-10) + 3)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = 4*q + 4, -1 = 5*q - 2*x - 3. Factor -4 + 25*r + 7*r**3 + 5 - 20*r**q - 2*r**3 - 11.\nAnswer: 5*(r - 2)*(r - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 149848 and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -3*p + 4. Let n(y) = 2*y + 7. Let h = 9 + -14. Let x be n(h). What is the remainder when t(x) is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -7 - 11ac?\nAnswer: -11b6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-40)\/25 - 8436\/665. Which is smaller: -15 or m?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(-1\/27)*(q\/(q*(q*q*q**(-36))\/q))\/q assuming q is positive.\nAnswer: q**(917\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 34 - 31. Let c(a) be the first derivative of -5\/3*a**s + 11\/2*a**2 - 1 + 11*a. Let p(m) = m**2 - 2*m - 2. Determine -4*c(k) - 22*p(k).\nAnswer: -2*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the second derivative of z**5\/20 - 7*z**4\/6 + 23*z**3\/6 + 7*z**2 - 10*z + 19. What is l(12)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19705?\nAnswer: 5, 7, 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -4*i + 7465*i**2 - 7469*i**2 - 5 + 1 + 5*i**3 - 6*i**3. Let h be k(-6). Calculate the greatest common factor of h and 161.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*d + 11*d + 200 + 216 = 64 for d.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide ((-3297)\/(-42))\/(2\/36)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (3\/2)\/(4\/8). Let v = 5 - 3. Let h be (-6)\/((1 - k)\/v). Solve -3*s = -9, g + 2*s = 2*g + h for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, -3, -7246, -20 in increasing order.\nAnswer: -7246, -20, -7, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:30 AM and 4:29 PM?\nAnswer: 539","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 15160?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v + 96*g = 94*g + 113, 3*v - 66 = -3*g for v.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h when two letters picked without replacement from bbhzzh?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 0 - 4)*(16*o - 30*o - 151*o) - 33 - 3*o + 49 + 0*o in the form q*o + z and give z.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(6\/13)*h)\/(h**23*h)*h**(1\/27)*h**(-4))**9 assuming h is positive.\nAnswer: h**(-9302\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 25 - 22. Let d be (-2 + w)\/((-1)\/(-10)). Suppose -2*b = 4*k - 6, -5*k = -2*b + 3 + 3. Solve 3*o - o + d = k for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -37 + 46. Let x be 30\/4*6\/v. Let s be -1 - ((-1 - 2) + x). Is s greater than -9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1022579637 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 4, 0, 0.3, -5, -8171, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*t**2 - 2*t**2 + t**2)*(-2*t**3 - 2*t**2 + 2*t**2).\nAnswer: 8*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 1000110100001000100011 (base 2) to base 14\nAnswer: 442135","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 196 divided by -4\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 14 and 122.\nAnswer: 854","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 278200.\nAnswer: 2, 5, 13, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3581 - -57271\/16. Let a be 0 + 2 - 244959\/(-16). Let u = -15307 + a. Find the common denominator of u and l.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s\/s**(-2\/3))\/s)\/(s\/(((s*s**(7\/4)*s*s)\/s)\/s)))\/(s*s**(-2\/13)*s*s**1*s*s*s) assuming s is positive.\nAnswer: s**(-535\/156)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*v + 46 = 12*v - 10*v. Sort 16, -3, v, -8 in decreasing order.\nAnswer: 16, v, -3, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 33.97 - 2.4.\nAnswer: 31.57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 take away 12586823?\nAnswer: -12586822.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.022 - 256?\nAnswer: -255.978","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 3*w**3 + 16*w**2 - 6*w - 26. What is the thousands digit of x(8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -11 and -0.12564 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*h**4\/3 - 17542*h**3\/3 + 17536*h**2 + 8*h\/3 - 70144\/3 = 0. What is h?\nAnswer: -1, 2, 8768","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-2 + -2)\/24*-61 and 4\/(-6) - ((-477)\/90 - 1)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21299387 is divided by 974.\nAnswer: 929","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:39 PM and 8:55 AM?\nAnswer: 616","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -1. Let h = -153 - -123. Let g(x) = -x**2. Let l(c) = -36*c**2 - 18. Let k be (-4)\/(4 - 12)*2. Let d(p) = h*g(p) + k*l(p). Determine -d(m) + 18*n(m).\nAnswer: 6*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 38\/11 - 1016\/275. Let a = j + 104\/225. Find t, given that 2\/9*t**2 + 2\/9*t - 2\/9 - a*t**3 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 343051?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 0 = 5*q - 30, 4*q = 4*y + 8. What is the second derivative of 4*u - y*u - 4*u**2 - 6*u + 3*u wrt u?\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:31 AM and 12:57 PM?\nAnswer: 386","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 430, -619, -1654, -2669, -3658, -4615, -5534?\nAnswer: -6409","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 7*k**2 + 19*k - 8. Let z(j) = -4*j**2 - 10*j + 4. Let n(g) = -3*y(g) - 5*z(g). Let m be n(-6). Solve 0 = 3*w - w + m, -r + 9 = -w for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -70 in -4\/7, 0.4, -0.6, 3384, 5?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -50202 (base 6) to base 16\nAnswer: -199a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -5 + (0 - -3) + (-11 - -6)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 12639?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g**35*g*g)\/(g*(g**(18\/7)*g*g)\/g) assuming g is positive.\nAnswer: g**(234\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1a61 - -2?\nAnswer: 1a63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 97 - 97. Let p = 4976 + -4986. Which is the closest to q? (a) 0.4 (b) p (c) 0 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 6.033164 millennia?\nAnswer: 603.3164","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -18 + -21. Find the common denominator of -7\/404 and 80\/80*(r\/4 - 1).\nAnswer: 404","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 38492749 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: What is the common denominator of 137\/552 and -119\/138?\nAnswer: 552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 70613*g**2 - 36262*g wrt g.\nAnswer: 141226","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -w**3 - 7*w**2 - 9*w. Let j be b(-6). Suppose -j = -2*l - 4*z, -9*z + 5*z - 58 = -2*l. Does 8 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand s**4 - 3*s**4 + 0*s**4 + (-6 + 6 + 47*s)*(1 + s - 1)*(-s**2 + 0*s**2 - s**2) - 66*s**3 + 66*s**3 - 4*s**4.\nAnswer: -100*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + i = 0. Suppose i*c - 120 = 4*c. Let j = -17 - c. What are the prime factors of j?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(33)*1)\/sqrt(11) - (2 + sqrt(27)).\nAnswer: -2*sqrt(3) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-261 + 57 - 113)*(0*n**2 + 0*n**2 + 2*n**2).\nAnswer: -634*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mspmsss. Give prob of picking 1 m and 1 s.\nAnswer: 8\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*u**2 + 2*u**2 + 0*u**2)*(-9 + 44*u**2 + 9 + 11*u**2).\nAnswer: -110*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*z = 1921 - 1929 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 743.4749mm?\nAnswer: 743474.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -68*r + 3. Let x(g) = -2404*g. Give s(x(o)).\nAnswer: 163472*o + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = -16, -6*d + 8 = -8*d - l. What is the nearest to d in -718, -0.4, -3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -5, 11, 94?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -60 - -12 - (-82 - -35)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the first derivative of 517*t**3\/3 + 8115. Let b(c) = -c**2. What is i(b(z))?\nAnswer: 517*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.2 - -4.8. Let v = 6.0000002 - h. What is v rounded to seven dps?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 5 - 2 - 3*x + 5. Suppose -24*o + 29 = 9*o - 169. Let y(n) = -3*n + 9. Calculate o*y(a) - 7*c(a).\nAnswer: 3*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -645c (base 14) in base 13?\nAnswer: -7b71","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 22873117082 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2.76 + 3. Let a = b - 0.240076. What is a rounded to five decimal places?\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 987 is divided by 19?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the first derivative of 0*c + 1\/2*c**2 - 1\/20*c**5 - c**3 + 0*c**4 - 7. Let i(f) be the second derivative of q(f). Differentiate i(u) wrt u.\nAnswer: -6*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:57 AM and 2:46 PM?\nAnswer: 709","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - (-3 - -1) - (2 + 3).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Do 2369 and 2359 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3169 - -6931. Suppose -q - 2216 = -7*n. What is the tens digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*m - 4*a + 16, 2*m + 2*a + 16 = 6*a. Let x = -1\/2183 - 4127\/521737. Do m and x have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = l**2 + 7*l + 7. Let x be j(-6). Let z(u) = 1. Let h(t) = -4*t**2 + 1. Let r(k) = x*z(k) - h(k). Let w(f) = -2*f. Give r(w(m)).\nAnswer: 16*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 62*o**2 - 5802*o + 32570. Determine d(6).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 764 + -759. Let b be (-402)\/(-10) + 2\/(-10). Calculate the greatest common divisor of p and b.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 57 + -62. Let l be 28\/(-45) + 4\/18. What is the second biggest value in l, 0.3, i?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 67567 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: Simplify (((f*f*f\/((f*f\/(f\/f**(-2\/5))*f*f*f)\/f))\/(f**9\/f))**24)**(-30) assuming f is positive.\nAnswer: f**5472","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 50764 = d, -48*d + 50*d = 2*m + 25382. Let p be ((-147)\/m)\/((-2)\/7). Which is bigger: p or -1?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 122835.6 milliseconds?\nAnswer: 0.034121","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 36792 is divided by 248.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = y + 90. Let s be p(0). Calculate the greatest common divisor of s and 36.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -g**2 - 6*g - 4. Let h be (-1)\/(-5) - 42\/10. Let y be 18\/4*h\/6. Let s be (y + 11\/5)*5. Calculate c(s).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2.878*224.\nAnswer: -644.672","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 209 - 20*w - 209 + 35*w - 15*w - 24*w + (-3 - 3 + 4)*(-w - 2*w + 5*w) - 4*w + 4*w - 2*w to b + m*w and give m.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 167 is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 279.98 + -284. Let i = d - -0.02. Which is smaller: 1 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 not equal to -8259372?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z + 16 = 3*p, p + 0*z - 12 = -5*z for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 2051*c + 12200. Determine b(-6).\nAnswer: -106","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3393444?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2655?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 10*w**2 - w**4 - 319*w**3 + 7*w + 318*w**3 + 0*w**4 as y + i*w**2 + z*w**4 + t*w**3 + o*w and give o.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 20 = 0, -10 = -5*r - 0*r - 3*g. What is the remainder when 14 is divided by r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2923216991 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (102\/119)\/(18\/294).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-3)\/2)\/(-3))\/((8487\/(-2378))\/(-207)).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -8740 + 8755. Let p be (-1)\/4 + 183\/12. What is the greatest common divisor of p and a?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1184 + 5382. Suppose l + 6044 = 10*k. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*n = -2*r + 2*n + 362, -5*r - 3*n = -870. Let j = -38 + r. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 22332 (base 5) to base 6\nAnswer: 11212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3383 = 384*f + 6985 for f.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3807 and 73179.\nAnswer: 423","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 2\/35*(-185)\/(-74)\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 621*v**3 + 68325*v**2 + 1880175*v + 45375.\nAnswer: 3*(v + 55)**2*(207*v + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -67\/154 and 5\/1272971.\nAnswer: 28005362","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -3*s - 54. Let o be j(-22). Suppose -3*h - 8*t = -3*t - 10439985, -o = 4*t. What is h rounded to the nearest one hundred thousand?\nAnswer: 3500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 123602?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 554609 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that -5*d**2\/2 - 55420*d - 307137640 = 0.\nAnswer: -11084","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25*q**2 - 278 - 25 + 151 + 38*q**2 - 70*q**2 + 152.\nAnswer: -7*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = p**3 + 9*p**2 - 8*p - 69. Let f be v(-9). Suppose 0 = -5*u + 2*u - 3*b + 25623, f*b + 12 = 0. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 80568896?\nAnswer: 2, 1258889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 17012?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) be the second derivative of 41*p**7\/7 + p**6\/10 - p**5\/20 + 5*p**4\/4 - 7*p**3\/6 + p**2 - 119*p - 19. What is the third derivative of a(r) wrt r?\nAnswer: 14760*r**2 + 72*r - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the third derivative of 5*d**2 + 1\/60*d**6 + 17 + 0*d - 25\/24*d**4 + 0*d**5 - 2\/105*d**7 - 1\/6*d**3. What is the second derivative of z(r) wrt r?\nAnswer: -48*r**2 + 12*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3, -5, -1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that 5*q**4\/3 + 10435*q**3\/3 + 1097425*q**2\/3 - 16904755*q\/3 + 20322750 = 0.\nAnswer: -1975, -126, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 99064?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 37*z**2 + 1 - 23*z**2 + 5550*z - 13*z**2 to t*z**2 + s + r*z and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -3 times 168\nAnswer: -504","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the second derivative of 0 + 0*j**3 + 2\/5*j**5 + 1\/4*j**4 + 5*j + 0*j**2. Find the third derivative of w(x) wrt x.\nAnswer: 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = -5*n + 30, -3*n + 1 = -2*v + 2. Let u be (-42)\/(-11) - 2*n\/(-33). List the prime factors of 222\/4 + (-2)\/u.\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -120 + 138 = -4*r + 5*a, 0 = 5*a - 10 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -129.3866 rounded to one decimal place?\nAnswer: -129.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(2\/5)\/(c*c\/(c**(1\/3)*c)*c))**(-2\/27)*(c\/((c*c**(-1))\/c)*c**(3\/14)\/c)**(-41) assuming c is positive.\nAnswer: c**(-281753\/5670)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a litre in millilitres?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the second derivative of 0 + 3*g - 7\/2*g**2 - 3\/2*g**3. Calculate the remainder when d(-7) is divided by 19.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3 - 4. Suppose 2*q = -4*i, i - 3*q + 10 = 2*i. Which is the nearest to -1? (a) i (b) j (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -118*o + 15 + 2*o**2 + 118*o to t*o + a + n*o**2 and give a.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 793757?\nAnswer: 793757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*v**4 + 2357*v - 1173*v + 1 - 10*v**3 - 2*v**4 - 1186*v + 12*v**2 as k*v**3 + s*v**2 + y*v**4 + o + q*v and give s.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 5 * 55882\nAnswer: 279410","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6213 + -6216. Put -17, -2, w, 10, -0.4 in descending order.\nAnswer: 10, -0.4, -2, w, -17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 452671*s + 452584*s - 905184*s.\nAnswer: 71*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 7199543 and 91?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-5 - 1818\/(-372))\/((-2)\/10). Let k = z - 2229\/434. Which is greater: -6 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = y**3 - 5*y**2 - 6*y + 8. Let w be b(6). Let r be (3 - w\/(-6))*-30. Round r to the nearest 100.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 54 + -19. Let m be -14*(h\/2)\/(-7). Let a = m + 6. List the prime factors of a.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 4 = 0, 0 = 2*j - 0*j - s. Suppose -56 = -j*a - 2*a. Solve 0 = -5*u + 5 - 0, -4*u = 2*k - a for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 643 minutes after 1:24 AM?\nAnswer: 12:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2*1 - (2 + -20 - -18). Solve -13 = d - 4*c, -13 - 3 = q*d - 3*c for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 6 + 0 + 4 + 1 - 3 - 2 + 1 + 0 + (-2 + 6 - 5)*(5 - 1 - 2) + (3 - 2 + 0)*(-1 - 1 + 0))*(-12*p + 22*p + 26*p) to z*p + x and give z.\nAnswer: -216","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 162 less than or equal to 430\/27?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5e8 - 2?\nAnswer: 5e6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - g = -45, -10*j + 9*j = 5*g - 35. Let p(t) = -2*t + 21. What is p(j)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2320 - 2316. Suppose 7*j - 726 = -4*j. What is the highest common factor of j and r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 317204*m + 7930098. Calculate w(-25).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 10*z**2 + 5*z + 149. Let i(d) = -8*d**2 - 4*d - 145. Determine 4*i(r) + 3*q(r).\nAnswer: -2*r**2 - r - 133","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -31*k + 3. What is the tens digit of c(-2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/135, 0.2, -3\/50 in increasing order.\nAnswer: -3\/50, -1\/135, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*d = 16*d - 160. Let m = -32 + 8. Let b = m + d. List the prime factors of b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) be the second derivative of 63*a**5\/4 + 134*a**3\/3 + 7*a - 4. What is the second derivative of v(l) wrt l?\nAnswer: 1890*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1848 divided by 42\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2678\/5356)\/((-42)\/8).\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-29 + 14 + 18 - 35) + 8.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 20 - 11 - 10. Let u(z) = -29*z + 4. Let i(x) = 5*b(x) + u(x). What is i(1)?\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16\/(-28)*((184 - 265) + 69).\nAnswer: 48\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*d**3*u**3 + 2*d**3 - 32504*d**2*u**3 + 11763*d*u wrt u?\nAnswer: -12*d**3*u - 195024*d**2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 50883881 and 0.2.\nAnswer: 10176776.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1043 + 395 = 36*x. Let t be (-6)\/4*(-3 + (-74)\/x). Let y(c) = -2*c**2 - 2*c + 2. Let r be y(-2). Do r and t have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 + 4*g**2 - 6)*(g**3 + 0*g + 0*g) - 2*g + 2*g**5 + 2*g.\nAnswer: 6*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 3459 a factor of 26203083?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-150)\/(-500)*6\/9.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -57\/1105 and -76\/4165.\nAnswer: 54145","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -4 + 341\/62 - (-126)\/4. Solve -2*n = -4*t - 4, -2*n - 29 = -t - g for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert a (base 16) to base 12.\nAnswer: a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 - (1 + -4) - (1 - 5).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5385 * 74.4.\nAnswer: 400644","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -34245346 != -68490691\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) be the first derivative of -v**3\/3 + 11*v**2\/2 - 8*v + 1. Let k be f(10). Let g = 0.9 - -0.1. Which is the nearest to 0? (a) k (b) -0.5 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = s**3 + 2*s**2 - 2*s - 2. Suppose -4*v + 230 = -t, 83 = v + 5*t + 15. Let z = v + -54. What is the units digit of f(z)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 2*w**3 + 10*w**2 + 186*w + 712. Determine s(-4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2 - a?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -7*z**2 - z. Let m(k) be the second derivative of -k**7\/2520 - 3*k**4\/4 - 8*k. Let y(u) be the third derivative of m(u). Determine -j(q) + 6*y(q).\nAnswer: q**2 + q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(33) - ((4*sqrt(297) + sqrt(297) - sqrt(297)) + sqrt(297)))\/(sqrt(99)\/(sqrt(9)*3) - sqrt(11)).\nAnswer: 21*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -682 - -692. Solve 3*z - s = -q, 4*q - 2 = 2 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -18 or -57?\nAnswer: -57","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - 1) + 0 + (7 - 4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 245 divided by 86\nAnswer: 245\/86","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m - 2*u + 237 = -5*m, 0 = -m + 2*u - 41. Let g = -137\/3 - m. Factor 14*p**2 + g*p**4 + 4\/3 + 22\/3*p + 34\/3*p**3.\nAnswer: 2*(p + 1)**3*(5*p + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = g - 3*g. Let s(u) = 6*u**2 + 4*u - 4. Let o(q) = -q**2 + 1. Let i(h) = g*o(h) + s(h). Solve i(p) = 0 for p.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -36 - (23 - (17 + 12)).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:14 AM and 3:36 PM?\nAnswer: 502","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -2*s - 7. Let p = -7 - -2. Suppose -5*u - 7*h + 3*h = -60, 3*u + 4*h = 44. What is the remainder when u is divided by j(p)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4921669 smaller than 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/11, 0.5, -66, 3, 5, 19, -49 in descending order.\nAnswer: 19, 5, 3, 0.5, 2\/11, -49, -66","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Are -1021950 and -1021945 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:47 AM and 1:12 AM?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 2*h - 1023 = 0. List the prime factors of h.\nAnswer: 11, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -42.4 + -20755.\nAnswer: -20797.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -26016916, -52033832, -78050748, -104067664?\nAnswer: -130084580","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 624 by -48.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -10 times 0.05101\nAnswer: -0.5101","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-8)\/3 + 2\/(-6). Let i be 0 + -4 + (v - -1). Is -5 at least as big as i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c**(1\/14)*c*c**0*c)**20)**(-33) assuming c is positive.\nAnswer: c**(-14190\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that 5*i**4\/3 - 3975*i**3 - 15980*i**2 + 382240*i\/3 = 0.\nAnswer: -8, 0, 4, 2389","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 720, -27, -1, 5 in decreasing order.\nAnswer: 720, 5, -1, -27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.2, 4\/5, -1\/6, 131716?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (34\/10 + -3)*(6642\/108 - -51)\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -35000 rounded to the nearest ten thousand?\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) be the first derivative of n**6\/12 + 19*n**5\/10 + 79*n**4\/8 - 119*n**3\/6 - 20*n**2 + 50*n + 58. Determine i so that t(i) = 0.\nAnswer: -10, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = -5*r + 161, r + 168 = 4*w - 4*r. Suppose 0 = 3*a + w + 4. Let j = 10 - a. Find the common denominator of -99\/8 and j.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8191, -4, 0 in descending order.\nAnswer: 0, -4, -8191","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -25 - -27. Suppose j = -3*v + 12, -n*v + 20 = -j + 3*v. Solve j*b - 20 = 5*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the third derivative of a**6\/360 - a**4\/72 - 19*a**2. Suppose j(c) = 0. What is c?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20660276029 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*y**3 - 2202*y**2 - 433131*y - 10467156 = 0. Calculate y.\nAnswer: -353, -28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 100280485 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4978 divided by 37.\nAnswer: 4978\/37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 31843, 63558, 95273, 126988, 158703, 190418?\nAnswer: 222133","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -16 - 460?\nAnswer: -476","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5653654268?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1512 is divided by 338.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v**39\/v)\/v**(2\/149))\/(v**(-14)*v*v)**(-9))**(-23) assuming v is positive.\nAnswer: v**(239936\/149)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 6, 19, 11, 0, -85, -1 in descending order.\nAnswer: 19, 11, 6, 1, 0, -1, -85","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 826031 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (6\/(-10))\/((-2)\/10). Suppose -h = 5*o - 4*h - 85, -o - 1 = i*h. Suppose 20 = l + 4*l. Calculate the remainder when o is divided by l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -6*i**3 + 2*i**2 + 10*i + 18. Let l(q) = -6*q - 99. Let c be l(-16). Is z(c) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*q**5\/7 + 8546852*q**4\/7 - 9131076341882*q**3\/7 - 18262178324328*q**2\/7 - 9131093435592*q\/7 = 0. What is q?\nAnswer: -1, 0, 2136714","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000002307 rounded to seven decimal places?\nAnswer: -0.0000023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 5, x: 2}. Give prob of sequence mxmm.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -259.68 + 260. Which is greater: p or -2?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*(4 + -1)*(-15)\/(-135)*18.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10000001010100 + 101?\nAnswer: 10000001011001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 158*b + 148*b - 6802 = 127*b for b.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xiidfifdddfxigfdd. What is prob of sequence dx?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the first derivative of -d**4\/16 - 59*d**3\/4 + 179*d**2\/4 - 2981. Suppose i(c) = 0. What is c?\nAnswer: -179, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/11, 2, -2.956, 0.2, 2\/5 in descending order.\nAnswer: 2, 2\/5, 0.2, 2\/11, -2.956","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-6)\/m*m\/(m*m*m\/m**(-9))*m*m)**(-1\/42) assuming m is positive.\nAnswer: m**(8\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -11*o - 75. Determine h(-6).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g + 17. Let u be k(10). Suppose 2*i + 4*w = 10, w = -4*i + u - 7. Suppose 1940 = x + 3*x - 2*y, i*y - 20 = 0. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 5*p + 24 = 0, 0 = 3*p - p + 6. Let b(k) = -k**2 - 6*k - 4. Let u be b(q). Suppose -7 = -m + u. What is the units digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -22102002100 (base 3) to base 13.\nAnswer: -5a474","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 209*k**2 + 121*k. Let o(b) = -7*b**2 - 4*b. Give 4*i(p) + 121*o(p).\nAnswer: -11*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5667674*r**2\/13 + 11335332*r\/13 - 32\/13.\nAnswer: 2*(r + 2)*(2833837*r - 8)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 34 + -30. Suppose -37 = -3*u + 5*d, -9*u - s*d = -12*u + 32. Solve 0 = u*n - 19 + 3 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*b = -q + 13, -20*b - 6 - 51 = -4*q + 21 - 26 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1512068887 to the power of 1\/6, to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - ((-10 - -5) + 25) - (1 - 6)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -2979 divided by -6\nAnswer: 993\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 4*s + 191. Let j(x) = x. What is -a(n) + 2*j(n)?\nAnswer: -2*n - 191","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*n - 277 + 73 + 113 - 4*n**2 - 428 - 145 to the form h + w*n**2 + q*n and give w.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*c + 14*c + 13 + 46 = -22*f + 9*c, -f + c - 7 = 0 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Add -226041774 and 13.88.\nAnswer: -226041760.12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 48*s - 3*s**2 - 5*s**2 + 6*s**2 + 73 - 74 to z*s + b*s**2 + y and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -83*v = -134580 - 164552. Does 91 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -67, 67, 205, 347, 493?\nAnswer: 643","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -204603717 take away 0.5?\nAnswer: -204603717.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (0 - -2)\/(7\/161). What is the units digit of 0 + (3 + -2)*d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the second derivative of -4 + 0*u**2 + 22*u - 1\/6*u**3 + 1\/100*u**5 + 1\/15*u**4. Find v, given that l(v) = 0.\nAnswer: -5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 11*h + 14. Let x be -2 - (-3 + 0 - 4). Suppose 4*r + 3 = x*r. Let y(q) = 4*q + 5. Let d = 49 + -57. What is d*y(c) + r*v(c)?\nAnswer: c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2057)*1 - sqrt(2057))**2*5.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = -8*d - 2. Suppose -5*n = -4*h - 489, h - 6*h - 296 = -d*n. Calculate the remainder when n is divided by 20.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-2)\/(-1))\/((-2)\/5). Let i = x + 5. What is i rounded to the nearest 10000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 940127 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**27*g**(-32)*g\/g**(-20)*g**(1\/59)\/g)**32 assuming g is positive.\nAnswer: g**(28352\/59)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = a**3 - 5*a**2 + 5*a + 1. Let i be c(4). Let n = i + 28. 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 nearest to 2\/3? (a) -0.15 (b) 0 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.03 + -0.27. Let o be (-11690)\/45591*(0 - (1 - (7 - 0))). Which is the nearest to -2? (a) p (b) 0.2 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 9*l**3 - 33 + 19533842*l**4 - 46*l**2 - 4*l**3 - 19533016*l**4 wrt l.\nAnswer: 19824*l + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*(5\/(-1))\/(-5).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1035 (base 8) to base 4\nAnswer: -20131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 19181 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the third derivative of b**5\/210 + 19*b**4\/84 + 278*b**2 - 2. Factor o(x).\nAnswer: 2*x*(x + 19)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 95*g**2 - g. Let a(i) be the third derivative of i**4\/4 + 486*i**2 + 3*i. What is a(w(z))?\nAnswer: 570*z**2 - 6*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 335 (b) -0.015 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in ten sevenths of a week?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 22.405 plus 2.1?\nAnswer: 24.505","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = o - a, -10 = -2*o - 5*a + 5. Solve 2*h - 19 = o*q - 2*h, q - 2 = -5*h for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 230*l - 124*l + 13*l**2 - 109*l.\nAnswer: 13*l**2 - 3*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 95970?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Put 227, 0.1, -2\/9 in ascending order.\nAnswer: -2\/9, 0.1, 227","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8 + 49. Is 19 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 30\/600*(-28)\/7.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -11*k**3 - 30*k**2 - 124*k - 9. What is the thousands digit of m(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(2) + 0)**2 + (sqrt(2) - sqrt(2)*-3)**2*-1.\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -2, 0.3 in decreasing order.\nAnswer: 1, 0.3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -859583 + 859587. Let l(z) be the first derivative of -2*z**3\/3 + 4*z**2 - 8*z - 1. Calculate l(m).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1 - -1 - (-14 + 2). Let z = g + -99. Round z to the nearest ten.\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = -0*o - u - 2, -2*o - 2*u - 4 = 0. Put o, -5, -1 in decreasing order.\nAnswer: o, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 17348439.7 to the nearest 1000000.\nAnswer: 17000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 384601 + -0.3?\nAnswer: 384600.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -391, -1535, -3441, -6109, -9539, -13731?\n\"Answer: -381*c**2 - c - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -3\/926 (b) 80 (c) -1 (d) 5 (e) -2\/45\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/((m**(-2\/3)*m)\/m))\/(m\/(m*m\/m**(-8)*m))*m**9\/(m*m**(1\/4)))**(-11) assuming m is positive.\nAnswer: m**(-2563\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 168583547?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4\/35? (a) 165 (b) 3 (c) 3\/8 (d) 4 (e) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = 5*n + 28, 4*m - 3*n = -7 + 34. Let i be m*1\/3 - -5. Suppose i = -0*s + 3*s. Is s even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16923 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: Calculate (-132)\/(-22)*2\/9.\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -781 - -1352. Let f = u - 596.3. What is f rounded to the nearest ten?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 57 a factor of 2\/(-14) + ((-8487)\/(-21) - 9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 14314616?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-17 - (28 + -32)) + 2.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/(-14))\/(9\/21).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 2, i: 3, d: 3, s: 4, a: 1, n: 6}. What is prob of sequence isdl?\nAnswer: 1\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one halves of a century in years?\nAnswer: 1050","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -277214.601 - -277099. Let r = 115.201058 + c. Let l = r + 0.4. What is l rounded to 5 dps?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 w when two letters picked without replacement from wwwwwyiwyiwiqwywwwwi.\nAnswer: 24\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 31, 2, 101, -97 in decreasing order.\nAnswer: 101, 31, 2, -97","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out -325481.66 - -3615.\nAnswer: -321866.66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 72.99 - 73. Which is the second smallest value? (a) -0.3 (b) x (c) -4\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5317840?\nAnswer: 2, 5, 11, 6043","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 118*p = 119*p. Suppose p = 9*k - 859 + 13. What is the tens digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 15*j**6 - 266*j**5 + 2*j**3 - 6*j**2 - 50*j + 28 wrt j?\nAnswer: 1800*j**3 - 15960*j**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 304 = 3*a - 257. Let o = a + -71. Suppose -2*y + 0*y = 4*k - 58, 4*y - 4*k - o = 0. Calculate the remainder when y is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 4*w - 12 = o, 0 = -5*w - 10. Is (6*o - -3)*-127 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 316840159 to the nearest integer?\nAnswer: 17800","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 2779 at most 2065?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1111, 2210, 3335, 4498, 5711, 6986, 8335?\n\"Answer: 2*y**3 + y**2 + 1082*y + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 28, 61, 94, 127, 160?\n\"Answer: 33*n - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*q + 54*q - 11*q + 3*q + 0*q - 47*q.\nAnswer: q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) be the third derivative of h**5\/30 + h**4\/24 + 5*h**3\/6 - h**2. Let o be w(0). Suppose -4264 = -o*z + 3091. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 2*w**2 - 15*w + 13. Let q be h(8). Suppose -10*l - 1562 = -q*l. What is the tens digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -c**3 + 6*c**2 + 3*c - 15. Let d be f(6). Let j(a) = -a**3 + 5*a**2 - 3*a + 1. What is j(d)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:48 AM and 9:06 PM?\nAnswer: 618","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 394 minutes before 5:06 AM?\nAnswer: 10:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = p**2 + 4*p - 1. Suppose 2*g - 6 = 0, -4*c + 3*g + 28 = 7*g. Suppose -4*u - 16 = f, -u + c*u + 4*f = -12. Let y = -8 - u. What is r(y)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.1 and 8575.\nAnswer: 8574.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = d**2 + 10*d - 3. Let l be x(-11). Let h(f) = -l*f**2 - 7*f + 0*f**2 + 3*f**2 + 6*f**2. What is h(5)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 761154 to the nearest integer?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -14904*s - 193849. Determine d(-13).\nAnswer: -97","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a*a**(-1)*a*a)**(-7\/2)\/(a**(4\/7)\/(a**(1\/8)*a)))**(2\/31) assuming a is positive.\nAnswer: a**(-557\/868)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -123.33 < 24990?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:17 AM and 12:34 PM?\nAnswer: 677","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = -q + 4*v, -3*v + 40 = 5*q + 2*v. Solve -8 = 5*l + q for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 98 = -q, -8*t + 2*q - 243 = -13*t. Solve t*p = -414 + 38 for p.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 460232?\nAnswer: 2, 57529","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6 + 6. Suppose -4*x + 32 = -q*x. Calculate the lowest common multiple of x and 4.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange n**3 + 29970*n**4 - 4*n**2 - 28 + 4*n**2 - 29972*n**4 to i*n**4 + l*n**3 + u*n**2 + d + a*n and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b**2 + 876*b - 61157. Determine d(65).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -11973 * -5\nAnswer: 59865","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2 - 87d9c49?\nAnswer: -87d9c4b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.37 + -0.07. Let h = 1078 - 1073. Let o be 20\/(-10) - h\/(-5). Sort -3\/8, o, j in ascending order.\nAnswer: o, -3\/8, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the first derivative of -11 + 0*j - 5\/6*j**4 - 25\/2*j**2 + 0*j**3. Let w(u) be the second derivative of m(u). Let d(h) = h**2. Give w(d(n)).\nAnswer: -20*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1179 and 131.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -3.9, 23, 1.8, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/((-5)\/2)*(-28 - 720\/(-36))?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -5*l**2 - 10*l**3 - l + 9*l**3 + 2*l**2. Suppose 4 = 5*w + 5*f + 9, 0 = 3*w - 2*f + 3. Give r(w).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 0*k + 3*u + 9 = 0, -5*u = -k + 17. Let n be k - -4*(-40)\/(-4). Suppose 3*p = -4*a + 148, -n = 3*a - 4*a - 5*p. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 0*j**3 + 32\/9*j**2 + 0*j - 64\/9 - 4\/9*j**4 = 0. Calculate j.\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-22)\/(-55))\/((-18)\/60)?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-10)\/(-2))\/(28\/308) is divided by 19.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -64*o + 59*o - 3*p + 110, 3*o + 3*p = 66 for o.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -23, -3, -2, 1735 in decreasing order.\nAnswer: 1735, -2, -3, -5, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-45)\/(-5)*10\/30. Let f = 26 - 13. Let u = f - 10. Solve u*x - q = -0*x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -103112212203 (base 4) in base 16?\nAnswer: -4d69a3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3 + -4 - 3*-93. Let g = u + -60. What is the hundreds digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1466 at least as big as -1466?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*d - 2 - 3*d + 2*d + 1 to j + u*d and give u.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the first derivative of 29*r**6\/360 - r**5\/120 - 25*r**3\/3 - 26. Let l(g) be the third derivative of i(g). Let p(x) = x**2. Determine l(p(o)).\nAnswer: 29*o**4 - o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10240 = -11*v + 13*v - 3*o, -15345 = -3*v + 2*o. Is 129 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/124440837 and 8\/1704669.\nAnswer: 124440837","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-12)\/10*(-75)\/(-10). Let v = -1 + 11. What is the remainder when 585\/20 - (n\/(-4) + -2) is divided by v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/16 of a century?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 15188863?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -t**2. Let a(i) be the second derivative of -4*i + 5\/6*i**3 + 0*i**2 + 1 + 1\/6*i**4. Give a(g(o)).\nAnswer: 2*o**4 - 5*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2.2 (b) -87 (c) 5 (d) -4 (e) -0.4 (f) 19\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 142*i**3*j**2 + 14*i**3*j + i**2*j wrt j.\nAnswer: 284*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1069.\nAnswer: 1069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 193 divide 23160?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-117) + 214795\/(-1511640)?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the second derivative of 2*p**3 + p**2 - p. Let v be o(2). Suppose v - 2 = 2*s. Calculate the highest common divisor of s and 84.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*r - 3*r = 4*y + 143, -4*r + 5*y + 192 = 0. Let h = r - 17. Calculate the highest common factor of 396 and h.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*o = -2829 + 3109 for o.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1917820 divided by 479455.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6\/7 or 0.0347175?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) be the second derivative of d**4\/4 - 2*d**3\/3 - 5*d**2\/2 + 5*d. Let j(p) = 7*p**2 - 8*p - 10. Let g(w) = -4*j(w) + 9*m(w). What is g(-5)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1573) + -3 + 2 + sqrt(1573) + 1 + 5)**2 - (-3 + (sqrt(1573) - 5*(sqrt(1573) + sqrt(1573) + -1) - (-1*sqrt(1573) + -3))**2).\nAnswer: -94416 + 1628*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 51, -506, -1, -6, 1 in descending order.\nAnswer: 51, 1, -1, -6, -506","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/((s\/(s*s**(2\/3)))\/s))**(-8\/7)\/(s\/s**(-2\/5))**46 assuming s is positive.\nAnswer: s**(-7082\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-7)\/(280\/(-936))*-1. Is -22 greater than or equal to w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 0*q**2 - 4*q**2 - 3*q**2. Let m(j) = -j. Calculate m(r(x)).\nAnswer: 7*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2073640*n**3 + 38594386*n wrt n.\nAnswer: 12441840*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y - 5*y - 84 = -n, 3*y + 32 = -4*n. Let h = y - -17. Suppose -5*i + 5 = -0. Which is the nearest to i? (a) 5 (b) h (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 4*h**2 - 650*h - 650. Give u(-1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 less than 0.03821214?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 1, m: 9, i: 4, x: 1}. What is prob of sequence ixii?\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 + 29 = 4*n. Suppose -n*i = -4*i - 32. Let a(l) = -l**3 + 9*l**2 + l + 1. Calculate the remainder when a(i) is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -2*w**3 - 12*w**2 - 2*w - 8. Let y be c(-6). Sort -2, y, -1\/7 in decreasing order.\nAnswer: y, -1\/7, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3109 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*-2*sqrt(1470)*-5)\/(-3*(sqrt(10) + sqrt(60)\/(-2*sqrt(6)))*2).\nAnswer: -140*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -50*i**4 - 70729*i**2*t**3 + 49794649*t**3 wrt i?\nAnswer: -200*i**3 - 141458*i*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -11\/12023157 and 19\/63885?\nAnswer: 60115785","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2461200 - 924*i**4 - 2460197 - 215*i**4 wrt i?\nAnswer: -4556*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*j**2*t*u - 4*j**2*t - 364*j**2*u + 10*j**2 - 2*j*u - 2*t*u - 43*t wrt t?\nAnswer: 2*j**2*u - 4*j**2 - 2*u - 43","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 27*v - 12. Let a = -78 - -71. Let t be b(a). What is t rounded to the nearest ten?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 k when two letters picked without replacement from kmkkxkhmkkmk?\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2.1 - -1.1. Let w = -88 - -86. Let m = 49\/164 + -2\/41. Which is the closest to m? (a) w (b) t (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5 + 6. Let q = 0.03 - 4.03. Let o be (9\/96)\/(1\/(-4)). What is the closest to n in 1\/2, q, o?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:24 AM and 3:48 PM?\nAnswer: 444","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = l + 6. Suppose 38 = l*w - 82. Suppose w = 5*v - v. Solve c = -c + v for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -4*l + 2*l. Let v(g) be the third derivative of g**6\/60 - g**5\/12 - g**4\/12 - g**3 - 954*g**2. What is the remainder when 133 is divided by v(l)?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -31 divided by 335379?\nAnswer: -31\/335379","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-116)\/(-10) + 10\/25. Differentiate c**2 + s - 8 + c**2 - c**2 wrt c.\nAnswer: 2*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1996 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 38640 and 3312.\nAnswer: 115920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*r**5\/7 + 45*r**4\/7 + 33*r**3\/7 - 33*r**2\/7 + 6*r\/7 = 0. Calculate r.\nAnswer: -1, 0, 1\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 32, 12, -6, -22, -36, -48?\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 350 + -624. Let t be -1 - 5\/((-10)\/b). Let x = 267 + t. List the prime factors of x.\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000004588972721 to 7 dps.\nAnswer: -0.0000046","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (45*u + 38*u - 11*u)*(11 - 3 - 7 - 8 - 6).\nAnswer: -936*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -29*r - 2. Let s(t) = -7*t. What is s(v(b))?\nAnswer: 203*b + 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) 1 (b) 7 (c) 2 (d) -1\/3 (e) -8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -51*a**2 + a - 1. Let z(o) = -4700*o**2 - 4385*o + 2. Let p(b) = -2*l(b) - z(b). What is the second derivative of p(u) wrt u?\nAnswer: 9604","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 385075421 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 1443, 2425, 3153, 3627, 3847?\n\"Answer: -127*i**2 + 1363*i + 207","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the third derivative of -2*m**4\/3 + 3*m**3\/2 - 41*m**2. Suppose 5*k = -2 - 8, -3*f + k = -29. Let w(j) = 4*j - 2. Calculate f*w(u) + 2*a(u).\nAnswer: 4*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 171 and 323.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**2 + 43750348*p - 478523237530276.\nAnswer: -(p - 21875174)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.4 and 295.78.\nAnswer: 118.312","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 4*n = 660, 91 + 94 = f + 5*n. What is the third derivative of 3*p**2 - f*p - p**6 + 80*p + 72*p + 60*p**3 wrt p?\nAnswer: -120*p**3 + 360","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (7 + -51)\/(4*(-3)\/54). Is (c\/12 + 2)*58 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 + (2 - 3) - 4) + 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-2 + 7 + 1)*(-3 - 2 + 4) + 32 + 5 - 6)*(0 - 5*z + 0) to the form c*z + p and give c.\nAnswer: -125","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 2699 = -1081. What are the prime factors of y?\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 188*x + 123*x + 1035*x + 1 - 287*x + 1756*x to h + l*x and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 4*c + 2*c - c. Let t(l) be the first derivative of l**3\/3 + 16. Give t(r(x)).\nAnswer: 25*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -4*r**2 + 4*r + 4. Let u be t(-1). Which is the closest to -7? (a) 2\/23 (b) 1 (c) u (d) -3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 372*p - 206*p = -2930896000. What is p rounded to the nearest one hundred thousand?\nAnswer: -17700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/5 of a litre?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -62? (a) 2 (b) -2\/3 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*y**4 + 0*y**4 - 3*y**4 - y - 2*y**4 + y + (7*y - 3*y - 3*y)*(0*y**3 + 0*y**3 - 3*y**3) - 4*y - 13*y**4 - 6*y + 14*y**4.\nAnswer: -5*y**4 - 10*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = -5*l - 8. Let q be (-1 - 2) + -1 - l. Suppose -4*o - p + 31 = -6*p, -4*o - 4*p + 76 = q. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 5*r + 9976 = 0, -5*r + 51 - 11 = 0. Solve -3*a + z = 2528 for a.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44530 = -2*h - 604. Let v = 10470 + -22737. Let u = h - v. Round u to the nearest 1000.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the second derivative of -q**5\/10 - q**4\/6 + 2*q**3\/3 - q**2 - 14*q. What is n(2)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 12 - 20. What is the common denominator of 62\/(-40) - (-2)\/t and -22\/5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.656 + -1.556. Let u = -4.4 - -1.5. Let d = s - u. Which is the second smallest value? (a) d (b) 3 (c) 9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = n - 0 - 4. Let y(h) be the first derivative of 2 - n*h + 1\/2*h**2. Give y(5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27105674 is divided by 26.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = f**6 + f + 1. Suppose -3*m - 20 = 2*m. Let k(r) = -3*r**6 + r**2 - 4*r - 4. Let d(g) = m*n(g) - k(g). Find the third derivative of d(s) wrt s.\nAnswer: -120*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -105*g = -103*g + l + 14, 0 = 3*g - 25*l - 85 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 2600441396?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33 + 63 = 3*g. Suppose 8*n = 160 + g. Solve 5*z - 2*w - 2*w = -n, 2*z + 3*w + 5 = 0 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 768\/(-20) - (-4)\/10. Let m be d\/(-8) - 3\/(-12). Calculate the greatest common divisor of 10 and m.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5407.\nAnswer: 5407","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 85\/74379644 and -5\/35304.\nAnswer: 446277864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -191, -375, -585, -833, -1131, -1491, -1925, -2445?\nAnswer: -3063","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -455040 divided by 113760.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 4267 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 52542?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30058 = 170*l - 151*l. Is 79 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -10 + 4 - 4*b**3 - 1 - b**3 wrt b.\nAnswer: -15*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1001210 - -20?\nAnswer: -1001120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -58372 divided by -6?\nAnswer: 29186\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 16\/3 - 6*r**2 + 10\/3*r**3 - 4*r.\nAnswer: 2*(r - 2)*(r + 1)*(5*r - 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -46, -2, -4 in descending order.\nAnswer: -2, -4, -46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((16\/14)\/2)\/((-24)\/(-28))?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14796314*h**2 - 935*h**3 + 14796314*h**2.\nAnswer: -935*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 + 66 = 3*f. What is the units digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2824501292?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 17 = -13. Let h be c\/(3 - 23\/8). What is the greatest common factor of h and 64?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 40 - 36. Suppose -3*h + 2317 = 4*r - 211, h = s. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = 5*s - 9 - 1, 0 = 3*s + n - 6. Suppose -3*v + s = -2*x, x + 4*v = 10 - 0. Solve -x*b - 3 = -h + 2, 3*b = 3*h for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 16146, 31399, 45756, 59217, 71782?\n\"Answer: -448*i**2 + 16597*i - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = -5*c + 3090, 3*c - 1859 = 2*y - 4*y. Suppose -55 + c = 4*h. Is h a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -2106*j + 1948. List the prime factors of w(-3).\nAnswer: 2, 4133","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(234\/(-20)*-5).\nAnswer: -2\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -848*i + 6778. Determine b(8).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 434.1279l in millilitres?\nAnswer: 434127.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 12*a - 3305 - 1483. Calculate the lowest common multiple of 1064 and a.\nAnswer: 3192","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12800*g - 2 + 26228*g - 13434*g.\nAnswer: -6*g - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-384)\/224)\/((-8)\/168*-3)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 16555 to the power of 1\/2, to the nearest integer?\nAnswer: 129","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -2*m**2 + m**2 + 13*m + 0*m**2 + 5. Is x(7) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 20 - -21. What are the prime factors of d?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 10848 and 2712.\nAnswer: 10848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.3 and 11337?\nAnswer: 11336.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1 + 1)\/(0 + 1). Let u(h) = -h - 4. Let x be u(-3). Let w be 3*((-10)\/(-9) + x). Which is the nearest to i? (a) w (b) 0.3 (c) -1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-two fifths of a meter in centimeters?\nAnswer: 840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4209563 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 951 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -a. Let q(y) be the first derivative of 625*y**3\/3 + 1687. Determine q(k(t)).\nAnswer: 625*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1587 = 48*u - 346 + 253. Solve -u*j - 74 = 66 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 250 minutes before 4:43 AM?\nAnswer: 12:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7.1 - -0.3. Let v = -0.019 + 2.119. Let i = v + p. Round i to the nearest integer.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = 3*q - 25, 0 = z + 5. Let d(b) = b**2 - b - 4. Let x be d(0). What is the nearest to -1\/3 in x, q, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1 + 53242?\nAnswer: 53243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = -519 - 288. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*y**4 - 2*y**4 + 6*y**4 + (y**3 + 0*y**3 + y**3)*(14 + 15*y - 14).\nAnswer: 34*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 705171000 divided by 6.\nAnswer: 117528500","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 20111002111112 (base 3) to base 15\nAnswer: 481218","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = -5*o + 16256, -3*o + 9774 = -6*l + 11*l. Suppose o = -5*n - 352. Is n < -722?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -137893, -138010, -138205, -138478, -138829, -139258?\nAnswer: -139765","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2 and 223.\nAnswer: 446","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 - 1 - 1 + 0 + 6*f**4 - 2*f**2 to the form w + c*f + v*f**3 + p*f**4 + n*f**2 and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2940461 and 188?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -89\/124 or -0.03?\nAnswer: -89\/124","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -83 - -82.971. Round f to 2 decimal places.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 38 - 37. What is the nearest to x in 1\/3, 0.09, -0.3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.61 - -2.61. Let w be (-2 - -1)\/((-2)\/(-10)). Let p = -9.4 + 9.9. What is the third smallest value in w, p, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1842 + 612. What is the tens digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 19, 0, 13\/6, 0.5, 0.06 in descending order.\nAnswer: 19, 13\/6, 0.5, 0.06, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000414175 rounded to 4 dps?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 11 + 5*c**2 + 6*c**2 + c**3 + 4*c**2 - 2*c**2 + 10*c. Let f be 46\/(-4) + (-2)\/(-4). Is d(f) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*l**3 - 38*l**2 + 152*l + 440.\nAnswer: -2*(l - 5)*(l + 2)*(l + 22)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -z**3 - 10*z**2 - 23*z + 7. What is b(-7)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 0, 891, 281?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 184743 and 585.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 94*c - 29. Let r be t(8). Suppose -6*x - r = -3303. List the prime factors of x.\nAnswer: 2, 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 5, -2, 1\/4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m + 5*g = -4 + 41, 23 = -m + 4*g for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-5)\/((2093\/1051)\/(-1) - -2). Let b = r - -587. Find the common denominator of (-21)\/6*40\/(-14) and b.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 27728 and 41387506?\nAnswer: 3466","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3.85 - -12.15. Let w(r) = -r**3 + r**2 - r. Let u be w(1). What is the nearest to u in j, 3, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -26.55 - -0.55. Let j = 28 + o. Let p = 8 + -11. Which is the nearest to 2\/5? (a) p (b) j (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (14\/(-3))\/((-1)\/6). Suppose 889*r - 878*r - 1694 = 0. What is the greatest common factor of o and r?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(63\/27*(-4)\/(-14)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6 by -219420.\nAnswer: 1\/36570","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((sqrt(500) - (1 + sqrt(500))) + sqrt(50)\/(sqrt(40)\/sqrt(4)))**2.\nAnswer: -6 + 2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = u. Let j be c(4). Suppose j*q + 5 = 25. Let y(k) = k**2 + 3*k + 3*k - 2*k**2. Determine y(q).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*y + 2*y + 63 = 0 for y.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(1\/2)\/(v\/(v\/(v*(v**(-1\/2)\/v)\/v)))*((v\/(v*(v**(2\/9)*v)\/v))\/v)\/(v\/((v*v**(2\/13))\/v)))\/((v\/(v\/(v**(1\/3)\/v)))**(29\/3))**5 assuming v is positive.\nAnswer: v**(418\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 28968 to the nearest integer?\nAnswer: 170","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1 + -1. Suppose -10*v + 7*v + 9 = o. Let w be 2 - v*14\/18. Which is the closest to -0.2? (a) w (b) -0.1 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1743.\nAnswer: 3, 7, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 9627 and 30.\nAnswer: 96270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13561 (base 9) to base 7.\nAnswer: 35563","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.8, 31\/24, 3\/5, 0.5 in ascending order.\nAnswer: -0.8, 0.5, 3\/5, 31\/24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1720 or 2822?\nAnswer: 2822","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-55)\/22)\/((-2)\/4). Let s(o) = o - 3. Let n be s(z). Are 2 and n non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 862917768?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/k**(-31)*k)\/(k**(2\/33)*k) assuming k is positive.\nAnswer: k**(1054\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -7670, -30684, -69040, -122738, -191778?\n\"Answer: -7671*x**2 - x + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -59*o + 366. Let x(s) = s**3 - 5*s**2 - 6*s + 6. Let d be x(6). Let g be v(d). Solve -9*q = -12*q + g for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -15 + 11. Let r = 2 - w. Let o = -3 + r. What are the prime factors of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 294484 a multiple of 39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2178 by -121.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.1383993 to three dps.\nAnswer: 1.138","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -2*i**2 + 3546*i - 142017. Determine w(41).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 160 and 16.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 - 52 - (-4 + -42)?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 19\/95*95 - 17?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.3 + -4.7. Let k = 4 + i. Let o = -2.1102 + 0.1102. Which is the third biggest value? (a) o (b) 0.4 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 5\/4 of a microsecond?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.95 + -0.917. Let y = -1.967 - a. Which is greater: y or -10?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 30186, 59360, 86520, 110658, 130766, 145836, 154860?\n\"Answer: -168*w**3 + w**2 + 30347*w + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 9*f**2 + 31*f + 34. Let j be c(-13). Let m = 2191 - j. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 552 minutes after 10:48 AM?\nAnswer: 8:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-22)\/3 + ((-2)\/35 - 512\/840)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*k - k - 92. Let i be (-13)\/2*6\/(-1). Let q = i + k. List the prime factors of q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 161766 and 1161?\nAnswer: 387","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 352703371*t**2 - 349184351 wrt t.\nAnswer: 705406742*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*x**3 - 137725398*x**2 + 67327888?\nAnswer: 6*x**2 - 275450796*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 3 w when four letters picked without replacement from {w: 2, a: 1, k: 6, i: 1, m: 2}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-54)\/(-36)*(28 + -6) - (1 + -4). Calculate the highest common divisor of 3888 and y.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -53094734, -106189470, -159284208, -212378948, -265473690, -318568434, -371663180?\nAnswer: -424757928","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z**2 - z - 20. Let k(x) = -x**2 + 32*x - 227. Let w be k(10). Calculate m(w).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -226.99, -2\/9, -0.2, 75 in descending order.\nAnswer: 75, -0.2, -2\/9, -226.99","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -703*m + 3 - 170*m + 860*m.\nAnswer: -13*m + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the third derivative of -m**4\/6 + m**3\/6 + 2*m**2. Let y = -4 + 3. Let p be w(y). What is the greatest common divisor of 25 and p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 minutes before 2:40 PM?\nAnswer: 2:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -562, 0, -1, -76 in ascending order.\nAnswer: -562, -76, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 119 = 17. Let x = 175 - 126. Let g = x + t. Let w(u) = -4*u - 2. Determine w(g).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is -2438836 bigger than 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Is -308708 less than or equal to -308719?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 38574?\nAnswer: 2, 3, 2143","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 4*r - 20 = 0, -i + 0*r + 8 = -r. What is the lowest common multiple of (-32)\/(-6)*9\/i and 12?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 45 and 1135.\nAnswer: 10215","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 896644.8 meters?\nAnswer: 896644800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of 8 and -0.049.\nAnswer: -0.392","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 790 + -3175\/4. Find the common denominator of o and 107\/10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 9152?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 7*p**2 - 7*p - 5. Suppose 4*k - 10 = -v, -k - 8 = -2*v - 3*k. Let n(b) = 6*b + 52*b**2 - 24*b**2 + 4 - 34*b**v. Determine -4*h(m) - 5*n(m).\nAnswer: 2*m**2 - 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5 + 53?\nAnswer: 4e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a day in seconds?\nAnswer: 20736","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the first derivative of 1663*h**3\/3 + 847*h + 2853. Differentiate u(k) wrt k.\nAnswer: 3326*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 92 is divided by 37.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9)\/(-110) - (2\/70)\/(24\/(-84))?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:35 AM and 9:05 AM?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -5139*j**2 + 12*j*r**2 - 301730*r**2 - 1 wrt j?\nAnswer: -10278*j + 12*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-11)\/44 + (-62)\/8 - 1. Let s = c + 10. Let w be (-26)\/(-30) - 2\/(-6). What is the closest to s in w, -2\/17, -0.2?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) be the first derivative of -r**4 - r**3\/3 - 3*r**2\/2 + 3*r - 658. Let i(s) = s**3 + s + 1. Give 3*i(c) + v(c).\nAnswer: -c**3 - c**2 + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -183 divided by -1303847.\nAnswer: 183\/1303847","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 995, 2032, 3073, 4118, 5167, 6220?\n\"Answer: 2*o**2 + 1031*o - 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 4 = -0*v. Suppose 2*k = -3 + 7. Suppose v*z - 16 = 2*b, 0 = -k*b + 5*b - 2*z + 29. Are b and -13 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 100899*l**2. Let b(q) = -2*q. Determine b(g(n)).\nAnswer: -201798*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -2*d**2 - 17*d - 5. Give i(-9).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 3846*o + 34107. Calculate d(-9).\nAnswer: -507","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 248 and 250.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -d**3 + 6*d**2 - 5*d + 2. Suppose -25 = -4*u + x - 0*x, 0 = 5*u - 5*x - 20. Calculate the smallest common multiple of w(5) and 13 + (-7)\/(u\/3).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -w**3 + w**2 + 7*w + 7. Let u be v(5). Which is greater: -59 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -2*n**3 - 4*n**2 - 10*n - 207. Let w(k) = -k**3 + k**2 + 3*k + 2. Let j(z) = f(z) + 4*w(z). Differentiate j(m) wrt m.\nAnswer: -18*m**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the first derivative of 35\/4*x**4 + 15*x**3 + 0*x + 0*x**2 - 13. Find the third derivative of n(k) wrt k.\nAnswer: 210","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*w = 26 - 42 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 31885 - 31759. Solve -g = 15*t - t for t.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 2, g: 3}. Give prob of sequence gyyg.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 23054 + -4?\nAnswer: 23050","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -68\/1193465 and 31\/13?\nAnswer: 1193465","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**6\/l)\/l*l*l**(-1\/4))\/(l**(-3\/8)*l*l**(-1\/8))*l**4*l*l\/(l\/(l**(-5)*l*l))*(l**(2\/5))**(-30) assuming l is positive.\nAnswer: l**(-23\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express ((2 - 1 + 0)*(-40*j + 75*j - 55*j) + (-6*j + 3*j + j)*(-2 - 6 + 1))*(3 + 0 + 0) as i*j + m and give i.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 3*l**2 - 8. Let v = -11 + 7. What is the tens digit of n(v)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3 - -3282?\nAnswer: 3278","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1 - ((-1)\/12 - (-3)\/9). What is the closest to -0.2 in o, -2, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2.5987 - 104531589.\nAnswer: -104531586.4013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -w**2 + 9*w + 27. Let q be y(11). Suppose 3*g - 6 = -q*b + 11, -b + 3 = g. Is (-8)\/1 + b*1 - -1173 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = 58 + 40. Let w = 493\/5 - d. Let a be (-5)\/(-9)*(0 + -3). Sort -0.2, w, a in decreasing order.\nAnswer: w, -0.2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -8*n - 4. Let y be l(-5). Let d = -12 + y. What is the tens digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d + 45 = -3*u, 4*d - 3 = -u + 30 for d.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1067.5 and 49.\nAnswer: -52307.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:33 AM and 9:13 AM?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 6033822 to the power of 1\/3, to the nearest integer?\nAnswer: 182","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 75913.\nAnswer: 75913","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -496, -640, -880, -1216, -1648?\nAnswer: -2176","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 84 = 3*j - 0*j. Let h = j - -8. Is 12 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2, 23, 74, 151?\nAnswer: 254","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -163 + 285. Suppose 2*q = q - 39. Let f = a + q. Is f 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 {t: 1, p: 1, d: 1, m: 1, r: 1, h: 2}. What is prob of sequence pm?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2514 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -473943*c**5 - 6*c**2 - 62*c - 36 wrt c?\nAnswer: -28436580*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -164150*u + 164150*u - u**2.\nAnswer: -u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) be the second derivative of -g**3\/6 - 4*g**2 + 54*g - 4. Calculate x(10).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 196 - 199.9. Let o = n - -3.899999743. Round o to 7 decimal places.\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 568896617?\nAnswer: 79, 433, 16631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 1816913.1 months?\nAnswer: 151.409425","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*l**3 - 3*l**3 + l + 27*l**3.\nAnswer: 21*l**3 + l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -25? (a) -0.4 (b) -0.01 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -23 + 21. Suppose 3*k = -2*g - 0*g + 17, -5*g + 17 = -k. Suppose 5*l - g*s - 3 - 5 = 0, -8 = -4*l + 4*s. Is l less than a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 59 + -79. Let h = -15 + 32. Let u = f + h. What is the nearest to -3 in -0.2, 0.2, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2 + -4. Let c(k) = -11*k + 5. Let w(j) = -83 + 165 - 4*j + 0*j - 80 - 2*j. Let a(f) = d*c(f) + 5*w(f). Let r(y) = -11*y. What is a(r(q))?\nAnswer: 88*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 85755583 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -2*(-1)\/((-1)\/(-5)). Is 4\/(-10) - (-2954)\/v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 11\/20 and ((-335)\/130)\/(2 - 1).\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = -q - 508, 0*q + 16 = 4*q. List the prime factors of c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 19.764*-24.27\nAnswer: -479.67228","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 9409284 and 268308.\nAnswer: 272869236","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 832, 830, 824, 814, 800, 782, 760?\n\"Answer: -2*r**2 + 4*r + 830","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by 108.\nAnswer: -1\/36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 2232113 equal to 2232107?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = j**2 + 28*j + 51. Let q be v(-2). Let i = -29 - -29.37. Sort q, -4, 5\/2, i.\nAnswer: -4, q, i, 5\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6181\/5 + -1240. Calculate the common denominator of v and 1 + 28\/(-16) + -6*(-1)\/20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(6) + (-3*sqrt(150) - sqrt(150)) - sqrt(6))\/((-4*sqrt(18))\/sqrt(9))*5.\nAnswer: 25*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 43903.54ml in litres?\nAnswer: 43.90354","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 5*w + 11 = 3*z, 2*w = z + 2. Suppose -3*k - 1 = -7. Suppose k*d = 2*t - 8, 3*t + 3*d - 38 = z. What is the remainder when t is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*s**5 - 3*s**5 + 7*s**5)*(2 - 3 + 2).\nAnswer: 6*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 58, 106, 130, 118, 58, -62, -254?\n\"Answer: -2*g**3 + 62*g - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/3*(-1356)\/8. Is 0 + 2\/((-2)\/l) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d when two letters picked without replacement from ssdsssddsss.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 28 + -5. Suppose -z - 2*z + b = 2*o, 0 = 3*z - 15. Let q(y) = y**2 - 2*y - 2. Give q(o).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -184662*d + 3588 = -184754*d for d.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = -3*h - 6, -5*f - h + 4 + 30 = 0. Suppose -36 = -5*m - f. Does 3 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1331032304 + 44?\nAnswer: -1331032210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.11 + 4.01. Let s = f + -3.4. Is -3 at least s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 84*r + 212. Let o(h) = -118*h - 212. Let g(p) = -3*o(p) - 4*w(p). Calculate g(11).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30326 + 7355 = -741*z for z.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 9*a**4 + 527?\nAnswer: 36*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*r + 10*r = 45. Let x be 1 + (-15)\/(r\/(-3)). Solve 0 = y - x*v - 20, 3*v + 10 = -y + v for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -248*q = -y - 252*q - 36, 43 = -3*y + q for y.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 19*l**2 - 2*l + 4. Determine g(2).\nAnswer: 76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 43 - 176*g + 55*g + 51*g + 60*g + 38. Calculate i(8).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2309\/154 - -271\/14. Let h = 229\/55 - k. Which is the nearest to -0.2? (a) 3 (b) -1 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-12)\/18)\/(16\/204) + (-2)\/(-4). Put 4, 5, a, 1 in decreasing order.\nAnswer: 5, 4, 1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 192580*a*f**4 + 11*a*f**2 + 247*a*f + 12*a - 2*f**4 + 5*f**3 - 4*f**2 + f wrt f.\nAnswer: 4621920*a*f - 48*f + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/112*78\/(-117).\nAnswer: -1\/42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -7*r**3 + 377*r**2 + 51*r + 161. What is l(54)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -5530*d. Let q(h) = -h. What is q(v(f))?\nAnswer: 5530*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*i - 8 = 9*i. Solve 0 = -3*d + i*j + 12, 4*j + 8 = 2*d - j for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 27809\/16 + -1738. What is the fourth biggest value in 11, w, -3, -0.2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -18 - -16. What is the nearest to 0 in k, 2\/5, 1?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 176\/12716*(-561)\/(-33)\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**1)**19)**(-11\/2) assuming n is positive.\nAnswer: n**(-209\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(6171) + -3*sqrt(6171)*1)\/((sqrt(108) + sqrt(108)*-1 + sqrt(108) - sqrt(108)) + sqrt(33)\/(sqrt(44)\/sqrt(4))))**2.\nAnswer: 8228","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 h when four letters picked without replacement from {h: 6}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 1602 = -3*o, 2*o = -5*a + 3*o + 2654. What is the remainder when a is divided by 515?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 180783.\nAnswer: 3, 53, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -4692011 + 42?\nAnswer: -4691969","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) be the second derivative of -h**4\/2 + 9*h**3\/2 + 27*h**2\/2 - 2*h. Let i(c) = c**2 - 4*c - 4. Let o(r) = -27*i(r) - 4*q(r). Let w(n) = -n. Give o(w(t)).\nAnswer: -3*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 20, -5, 39, 4 in decreasing order.\nAnswer: 39, 20, 4, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = t**3 + 6*t**2 + t - 1. Let f be b(-6). Let i = f - -13. What is the units digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 10*a**2 - a. Let w(t) = -4*t - 8 + 5*t - t + t. Suppose 40 = 5*r + 5*l, -5*l + 22 = -0*r + 3*r. Let p be w(r). Calculate y(p).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 284107 = 629*r - 610*r. List the prime factors of r.\nAnswer: 19, 787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -12351.06426 to the nearest 10.\nAnswer: -12350","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -14398662 + 201731053\/14. Let s = f - 10692. Let c = 1\/435 - -2869\/870. Find the common denominator of s and c.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (1*(sqrt(320) - (1*sqrt(320) + sqrt(320) + sqrt(320)))*6)**2*-3.\nAnswer: -138242","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(891)*3 - sqrt(891) - sqrt(891) - sqrt(891))**2.\nAnswer: 72171","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 7*a + 3. Let o(m) = -m + 1. Let h(y) = -g(y) + 6*o(y). Is h(-4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -71 divided by -76\nAnswer: 71\/76","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -13 + 27. Is (f - 46)*14\/(-4) a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1868 a factor of 378180336?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = 0, 5*z + 1590 = 3*t + 7*z. List the prime factors of t.\nAnswer: 2, 5, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -5*o**2 + 7 + 26 + 3 + 4*o**2 - 3*o. Give b(-7).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 327 minutes after 1:59 AM?\nAnswer: 7:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -6*y**2 + 14*y + 20. Let f be j(-5). Calculate the common denominator of (-295)\/f - (-12)\/(-32) and (-2)\/4 - 11\/24.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -2*q**2 - 5*q - 3. Let x be (522\/396 - ((-126)\/(-33) + -4))*-2. Let g(m) = -5*m**2 - 9*m - 5. Give x*g(y) + 5*o(y).\nAnswer: 5*y**2 + 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -19, -38, -73, -130, -215?\nAnswer: -334","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1174 is divided by 42?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -2847697.47 rounded to the nearest one hundred thousand?\nAnswer: -2800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5116 + -5115.9. Is 719\/12 at least o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 (base 14) in base 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 40*(-24)\/81 - (-1452 + 1440).\nAnswer: 4\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.3? (a) -0.7 (b) -3 (c) 27\/5 (d) -0.07 (e) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 - 4 + 0)*(-2*g**2 - 2*g**2 + g**2) + (-1 + 1 - 2)*(-2*g + 2*g + g**2))*(6*g + 7*g + 0*g).\nAnswer: 52*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + 0 + sqrt(72))*1)**2.\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -140*z - 39 = -153*z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -29, -167, -529, -1223, -2357, -4039?\nAnswer: -6377","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -10167218 at least as big as -10167215?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (3*sqrt(19)*1 + 1)**2 + (sqrt(133) + (sqrt(133) - (sqrt(133) - sqrt(133)*-1)*2))\/(sqrt(63)*-1).\nAnswer: 20*sqrt(19)\/3 + 174","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = f**3 - 4*f**2 - 3*f - 4. Let t be b(5). Suppose -1 = -3*y + c + t, -5*c = 3*y + 17. Is -3\/7 < y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -4*g**2 + 3. Let b(y) be the second derivative of y**4\/4 - y**2 + 24*y. Let a(j) = 6*b(j) + 4*k(j). Let c(q) = -q**2 + 2. What is c(a(n))?\nAnswer: -4*n**4 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in four fifteenths of a millennium?\nAnswer: 3200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 2*h - 10 = 0, -11*v - 5*h - 4 = -7*v. Let j be (0 - -4) + 8 + v. Solve 0*f + j = 6*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.45 minus 6.3?\nAnswer: -8.75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -14.9 plus 2085521769.6?\nAnswer: 2085521754.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1875604541\/5148902 + -3\/468082. Let b = -368 - g. Calculate the common denominator of b and (80\/6)\/((-2)\/(-6)).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 75466219 to the power of 1\/2, to the nearest integer?\nAnswer: 8687","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (6\/10)\/(23\/(-23))\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 49252, 98505, 147758, 197011?\nAnswer: 246264","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1308 is divided by 69?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 152925951.\nAnswer: 3, 113, 451109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bttbb. What is prob of picking 3 b and 1 t?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-12760)\/1914*(((-74)\/8 - -3) + 1)\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12937.137s in minutes?\nAnswer: 215.61895","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11*q**2 - 2*q**3 + 3*q - 180630 + 0*q**3 + 180634 to the form y + f*q**2 + k*q + h*q**3 and give k.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -379*b + 492*b - 79*b.\nAnswer: 34*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**1\/(k*k**(12\/5)*k*k) assuming k is positive.\nAnswer: k**(-22\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 2*s + 1. Let v be m(3). Let o be 6*8\/96*4. Sort v, o, -4, 5 in increasing order.\nAnswer: -4, o, 5, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 494 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) be the third derivative of 175*i**5\/4 + 1116*i**3 - 2*i**2 - i - 3178. What is the derivative of x(p) wrt p?\nAnswer: 5250*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 70052*i = 70080*i - 336 for i.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*u**3 + 1572911*u**2 - 1572911*u**2.\nAnswer: -3*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 174, -4, 72 in ascending order.\nAnswer: -4, 0, 72, 174","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -15974.8 * 5\nAnswer: -79874","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 230363 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 0.5, 3, -82\/5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 924?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19120156?\nAnswer: 2, 11, 19, 22871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -29, 2, -4, 0, -3.\nAnswer: -29, -4, -3, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 6 (base 15) to base 2\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n**2\/2 + 597081*n\/2 + 6567649 = 0. Calculate n.\nAnswer: -597059, -22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 2 h when three letters picked without replacement from {h: 3, n: 7}.\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 2*c**3 + 71*c**2 + 36*c + 41. Let u be b(-35). Suppose -u*o + o = o. Solve -2*k + 2 = -o for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 7600.828 milligrams?\nAnswer: 0.007600828","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 3*q**2 + 8*q - q**3 + q**2 + 4 - 3*q. Let r be y(5). Is (-134)\/r*(-3 - -1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, -6, 2, -3, 22, 4 in descending order.\nAnswer: 22, 4, 2, -3, -6, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*u + 2*u**2 - 4*u**2 + 0*u**2 - 30*u**3 + 3*u to the form i*u**3 + l + v*u**2 + g*u and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1308034626?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(200) + 0)**2*4.\nAnswer: 799","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2\/3 (b) 5 (c) 57.24451 (d) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1764\/(-6615)*2\/16.\nAnswer: -1\/30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5610 and 55?\nAnswer: 5610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1131847 to the nearest integer?\nAnswer: 1064","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 2 = 5. Let n(t) = t**2 + t. Let b(l) = 10*l**2 + 3*l - 4. Let k(u) = a*n(u) + b(u). What is the first derivative of k(h) wrt h?\nAnswer: 14*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*i**3 - 12715871 - 5*i**3 + 12715871 + 2*i**3.\nAnswer: -7*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6372 divided by 2.\nAnswer: 3186","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 1, 0, -11, -1 in decreasing order.\nAnswer: 1, 0, -1, -4, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 times -6?\nAnswer: -1.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*s - 4 = -82. Let n = -13 + s. Suppose -5*p = 2*v - 6 - 63, n = v - p - 52. What are the prime factors of v?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.06 and -7932?\nAnswer: 7932.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.1189092 and 5.\nAnswer: -0.594546","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.05352081 to three dps.\nAnswer: 0.054","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 5\/177 or -1?\nAnswer: 5\/177","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + -6*((-2*sqrt(132))\/sqrt(12) - (sqrt(77)\/(1*sqrt(7)))**2).\nAnswer: 12*sqrt(11) + 64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5705*m**4 - 5752 with respect to m.\nAnswer: 22820*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.323060054 minus 0.04?\nAnswer: 0.283060054","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 65*c**3*p*q**2 + 3*c**3*p - 3*c**3 + 14*c**2*q + 10*p*q**2 + p wrt q?\nAnswer: 130*c**3*p + 20*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the first derivative of 63654*a**5\/5 - 11227*a**4\/2 + 418*a**3\/3 - a**2 + 6140. Suppose l(y) = 0. What is y?\nAnswer: 0, 1\/103, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fzfz when four letters picked without replacement from {f: 2, z: 5}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 2, b: 11}. Give prob of picking 2 p and 1 b.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*x**2 - x**2 + x**2)*(-7*x + x + 4*x + (1 - 6 + 3)*(19*x - 25*x - 35*x)) to the form q*x**3 + n*x + r + z*x**2 and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 66*2\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 8*b - 20. Let n(p) = 3*p - 7. Let m(a) = -11*n(a) + 4*x(a). Let o be m(-3). Suppose o = -0*v + v. Solve 4*w = -v*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1*2 - (10 - 9))*2. Is (184\/10)\/(o\/(-30)) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 774 is divided by 243.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 32949 and 63?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r, 1 e, and 2 a when four letters picked without replacement from {e: 7, k: 6, r: 1, a: 4}.\nAnswer: 7\/510","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 89.68 + 1.32. Let y = m + -94. What is the nearest to 1\/4 in y, 0.3, -2\/17?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -2*h**3 + 3. Let n(j) = 7*j**3 + 9*j**2 - 9*j - 16. Let g(u) = 3*u**3 + 4*u**2 - 4*u - 7. Let v(z) = 9*g(z) - 4*n(z). Calculate 6*v(o) - 2*w(o).\nAnswer: -2*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -2*c**2 + 31*c - 1185. Let v(q) = 14*q**2 - 3. Determine y(v(z)).\nAnswer: -392*z**4 + 602*z**2 - 1296","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -7, -36, -85, -154, -243?\n\"Answer: -10*z**2 + z + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -4*b**3 - 11*b. Let a(p) = p**3 + 4*p. Suppose 7*r + 165 = 2*r. Let m = r - -37. What is m*f(n) + 11*a(n)?\nAnswer: -5*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.02 less than -32919.0959413?\nAnswer: -32919.0759413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 62*y - 8*y - 216 = 0. Solve w - 20 = y*q - 3*w, 3*q + 5*w = -7 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -29 + 63. What is the tens digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 35*(6\/39)\/((-49)\/(-91)). Calculate the greatest common factor of z and 9430.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-10*19\/(-380))\/(2\/36). Put 3, 10, -0.1, m in increasing order.\nAnswer: -0.1, 3, m, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 2 p when three letters picked without replacement from {l: 5, z: 1, p: 11}.\nAnswer: 11\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 5*j + 15. Let p be b(-3). Let f(y) = -5*y**2 + 102*y - 349. Let t be f(16). Solve 0 = -5*w + t*w - 5*c - 29, -5*w - 3*c - 25 = p for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33 = 2*h - 5*h. Suppose h = -3*j + 26. Suppose -4*m = -2*f + 3*f + 5, -2*m = -j*f + 19. Solve 8 = 2*u + 3*p, -u - 2*u = -f*p + 3 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*q + 68 = 9*q. What is the third derivative of 10*g**4 + 19*g**q - 5*g + 22*g**4 + 3*g**2 wrt g?\nAnswer: 1224*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-4455)\/44)\/(-5))\/((-21)\/(-28))?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mu when two letters picked without replacement from kmukulmmmkmm?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 14*q**2 - 84*q + 3. Let z be x(6). Let h(k) = -12*k + 56. Let l be h(4). Solve 4*j - 2*v = -16, -z*v + l + 8 = -4*j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*g - 4*k - 22, 0 = 2*k - 2 - 8. Let c be g\/28*2\/(-4). Let n = 12 + -6. Sort n, c, 0 in descending order.\nAnswer: n, 0, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8814485 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v**(-2\/27)*v))\/v*v\/v**(-6\/17)*v*v assuming v is positive.\nAnswer: v**(1114\/459)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -130, -9, 302 in decreasing order.\nAnswer: 302, -9, -130","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 3*c = 5*u - 15, -4*u + 12 = 3*c. Solve u*a + 2 = 11 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -54 + 45. Let d = 5 + 8. Let u = x + d. Calculate the remainder when 7 is divided by u.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -312.8 to the nearest 10.\nAnswer: -310","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 16 = -2*n, -10 = -5*n - 2*l + 23. Let y = 2 + n. What is the remainder when 16 is divided by y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 23504*s**3*t*u**3 + 4227*s**2*t*u**3 + s**2*u**3 + t*u - 2*t wrt s?\nAnswer: 141024*t*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1 - -1101?\nAnswer: 1102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 6569 a factor of 1655368293?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4.2 - -4.28. Let m = -0.2 - 0.1. Which is the second smallest value? (a) 2\/15 (b) s (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -0.13, 1\/4, -0.4, 1243?\nAnswer: -0.13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 608*k - 122*k + 273*k = 23*k - 31648 for k.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5238270 and 6246.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:20 AM and 3:28 PM?\nAnswer: 428","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:41 AM and 11:40 AM?\nAnswer: 539","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3*b**4*n**2 + 158*b**4 + 3708*n**2 wrt b?\nAnswer: -12*b**3*n**2 + 632*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -102 + 101.9. Which is the fourth smallest value? (a) v (b) 6 (c) 1\/6 (d) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -40012442 - 2?\nAnswer: -40012444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 1531 divided by -562\nAnswer: -1531\/562","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25 = x + 5*h, 206*x - 208*x + h = -6 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 170 = 2*o + 172, -d - 4*o = -99741. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*b + k + 5, -9*b = -10*b + k for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6*w**2 + 88 + w - 88 wrt w.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -5*i + 7. Let z be h(2). Which is smaller: z or -11?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:33 PM and 5:12 AM?\nAnswer: 459","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*a**3*f**3*t + 12*a**3*f*t - a**2*t - f**3 + 66*f**2*t wrt a?\nAnswer: -12*f**3*t + 72*f*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -103*a**5 + a**4 + 187*a**3 + 301254*a**2?\nAnswer: -6180*a**2 + 24*a + 1122","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1406973 + -35.7779564.\nAnswer: 1406937.2220436","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -2\/151115 (b) -0.12 (c) 152\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1121 - z + 114 + 2712 - 1249*z**3 with respect to z.\nAnswer: -3747*z**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) 12 (b) 3\/4 (c) -41 (d) -2\/83\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11352806719.29 + -2.\nAnswer: 11352806717.29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j - l = -14, -22*j - l + 9 = 26*j - 48*j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2.6 + -138.6. Let d = -12895487152.99999929 + 12895487289. Let r = q + d. Round r to 7 decimal places.\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44 - 47 - 57 = -6*v. What is the highest common divisor of v and 454?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10dc91 (base 16) in base 9?\nAnswer: -2063743","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*r**4 + 2*r**4 - 4*r**4 + (-9*r**2 - 47*r**2 + 6*r**2)*(1 - 1 - 3*r**2) to z*r + t*r**3 + y*r**4 + u*r**2 + h and give y.\nAnswer: 146","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 10198 - 8859. List the prime factors of t.\nAnswer: 13, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1135514543 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 63521346 is divided by 136605?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5 - -5. Let b be (-8)\/(-204)*(-12)\/(-8). Is h bigger than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -567 - -567. Suppose 25*f + 7*f - 992 = x. What is the remainder when f is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.22342722 - 17.09?\nAnswer: -17.31342722","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - -1) + 0 + 15 + 3 - 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 23715\/4 + -6040. Let m = o + 3055\/28. Let l = 334205 - 334201. Sort l, m, 3 in descending order.\nAnswer: l, 3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -21 - -63. Calculate the highest common divisor of 462 and v.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6482*s - 13 = -7*k + 3*k + k - 6480*s, s = -k + 1 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t - 3*r - 29 = -10, t + 9 = -5*r for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -5*w**2 + 14*w - 1. Let g(r) = r**2 - r. Let t(o) = 6*g(o) + i(o). Let p be t(-8). Find the common denominator of 91\/2 and (2 - 3) + ((-42)\/(-27))\/p.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.35 + -0.12. Let f = -0.07 - d. Which is the second biggest value? (a) -1 (b) f (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.95 + -2.95. Let g = -4 - k. Let b = 25 - 30. What is the closest to 0 in 0, b, g?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43371356813 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 29 - 41. Let u be ((-34)\/f + 1)*-2. Let o(v) = -v**2 + 34*v - 127. Let m be o(4). Is m at most as big as u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15552266 a multiple of 529?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of -5571036 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2753 - -2752.9. What is the closest to 3 in -2, -4, -5.7, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 0 (b) 2 (c) -0.2 (d) -7\/38 (e) -0.17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 967 a factor of 1549155?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2569104.\nAnswer: 2, 3, 19, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out -17 * -414.\nAnswer: 7038","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (114\/8)\/(27\/72).\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -99, -373, -829, -1467, -2287, -3289?\n\"Answer: -91*d**2 - d - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 149809.8 take away 252001?\nAnswer: -102191.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -29*q - 201. Let x be n(-7). Let r(v) be the third derivative of -23*v**x + 0*v**3 + 0*v**4 - 1\/60*v**5 + 0*v + 0. Let m(u) = u. What is m(r(k))?\nAnswer: -k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 9*f**2*j + 5*f**2 - 2*f*j**4 + 2*j + 9 wrt j?\nAnswer: 9*f**2 - 8*f*j**3 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 41685 (base 10) to base 7\nAnswer: 232350","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32 = -5*o - z, -8258*o - 11*z - 105 + 65 = -8255*o for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -12907*h**2 - 28. Let c(l) = 47648341*l**2 + 103368. Calculate -7*c(w) - 25842*y(w).\nAnswer: 4307*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5896.85 - 5759. Let i = o - -3.65. Round i to the nearest 10.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (341\/9)\/((-32)\/(-2620)). Let t = s + -3102. Let q = -2\/9 - t. Which is bigger: q or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 127957 times -0.1148\nAnswer: -14689.4636","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (9\/(-2))\/1*100\/(-15). Let m = 38 - i. Suppose -3*r = 4*z - 96, m*r = 3*z + 3*r - 43. Calculate the remainder when 37 is divided by z.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p\/(p**(-2\/3)*p*p)*p**(1\/10)*p)**(-2\/59)*(p\/(p**(1\/13)\/p)*p*p*p**(-3\/4)*p*p)**(2\/9) assuming p is positive.\nAnswer: p**(75221\/69030)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1)\/(-2) + (-22)\/4. Let u(c) = -7*c**2 - 7. Let p(f) = -63 + 120 - 63 - 8*f**2. Let l(g) = z*u(g) + 4*p(g). What is the derivative of l(v) wrt v?\nAnswer: 6*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/9)\/(67\/(509535\/(-130)))?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 12\/72*(-6)\/4*80\/220\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 937063?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 93*f - 677688 = 491973 + 656022. What are the prime factors of f?\nAnswer: 67, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.06 + -5.06. Let t = 1 + p. Let c be 1\/(-2) - (-2)\/(-4). Put t, c, 5 in decreasing order.\nAnswer: 5, c, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1077 and 2263136.\nAnswer: 359","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 plus -90629427742112?\nAnswer: -90629427742112.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 328624?\nAnswer: 2, 19, 23, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 2*b - 40 = 0, 0 = -4*z + b - 6*b + 166. Let v be ((-42)\/4)\/(-7) + (-55)\/z. Factor -1\/4 - v*w**2 - 1\/2*w.\nAnswer: -(w + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (10100\/8)\/((-15)\/90). What is the remainder when ((-1)\/3)\/(25\/b) is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.001246 to four decimal places.\nAnswer: 0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 31*n - 11 + n**2 + 29 + 5 + 6. Let t(f) = -f**2 - 31*f - 29. Let w(g) = -4*t(g) - 5*u(g). What is the hundreds digit of w(-24)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5 - -11. Let k be ((-9)\/j)\/((-7)\/(-2)). Let u = -100871 + 100870. What is the second smallest value in -4, -2, u, k?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(1\/3))**(14\/5))**(32\/5) assuming y is positive.\nAnswer: y**(448\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the third derivative of -2*d**3 + 0*d + 0*d**4 + 11\/30*d**5 + 0 + 22*d**2. What is the first derivative of i(r) wrt r?\nAnswer: 44*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-317)\/(-15) + (-4)\/30. Suppose -4*n = -8, -t = -5*b + 3*n - 2. Suppose 34 = b*l - 41. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -119419897\/273 - -437436. Let d = a - -25937\/13650. Find the common denominator of d and -33\/20.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 489374*r**2*t**4 + 3*r**2*t**3 - 10879*r**2*t + 7*r**2 + 2*r*t + 2*t wrt t.\nAnswer: 5872488*r**2*t**2 + 18*r**2*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -i + 14. Suppose 2*o + 2*o - 60 = -4*n, -5 = -2*o + 3*n. Let j be a(o). Suppose s = j*s - 489. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -55 - -54. Sort -4\/5, i, -12\/5, 2\/7 in increasing order.\nAnswer: -12\/5, i, -4\/5, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 18 + -14. Suppose 5*g + 224 - k = 0. Let w = -26 - g. Does 12 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the first derivative of -71*f**5\/5 + 38*f - 35. Find the first derivative of v(q) wrt q.\nAnswer: -284*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 431 - 39 = 0. Calculate the remainder when l is divided by 79.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*a = -16*a. Let i(s) = 2*s + 4. Let z be i(a). Solve 9*l - 15 = z*l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12 + 1 + 11 + -27 + (119 - 63) - -13.\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 11690343?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 25 + 4?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -v + 24*v**2 + v**3 - 12*v**2 + 5 - 18*v**2. What is f(6)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 95957452?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 72 a factor of 2224?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 15 and 21.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.3 (b) -17 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of q**2*w**2 - 4*q**2*y - 18*q*w**4*y - 8*q*w*y + 2*w**3*y wrt w.\nAnswer: 2*q**2 - 216*q*w**2*y + 12*w*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -31 (b) 2 (c) -5 (d) -18\/11 (e) 5 (f) 36\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1\/118 - -247\/1298. Let y = -0.9 - -0.6. Let l(r) = r**2 - 3*r + 3. Let h be l(2). Sort h, y, c in descending order.\nAnswer: h, c, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -183*t - 1\/2*t**4 + 82*t**2 + 189\/2 + 7*t**3.\nAnswer: -(t - 21)*(t - 1)**2*(t + 9)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2767 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide (-6 - -4) + 2 + 3 + 549?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -13 - 22. Let p be 4\/6*(-15)\/k. Let i = -11 - -10. Which is smaller: i or p?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -321777 less than -50203824?\nAnswer: -49882047","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = v**2. Let p be 3\/21 - (3 - 628\/14). Let z(q) = -16 - 11*q + 11*q + 7 + 5 + p*q**2. Determine z(f(i)).\nAnswer: 42*i**4 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 742646, 742630, 742614, 742598, 742582, 742566?\nAnswer: 742550","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = 4*q + 10*i, 45 = -4*i + 49. Let w(u) = -17*u - 14. What is w(q)?\nAnswer: -82","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12431021 (base 6) in base 3?\nAnswer: -202202022111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -102 = -3*f + 194*l - 197*l, 272 = 8*f + 2*l for f.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 11952\/(-45318)*65\/(-20)\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 33 + -25. What is the smallest common multiple of 9 and g?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22810 to the power of 1\/3, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) be the first derivative of -d**2\/2 + 16*d - 5. Let y be t(7). Find the second derivative of -2*o**4 - 7*o**4 + y*o**4 + 2*o - 3*o**4 wrt o.\nAnswer: -36*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15\/12*6\/(-10)*-1.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j**6\/(((j*j\/(j\/j**(1\/4)))\/j)\/j))**(-35))**44)**(2\/17) assuming j is positive.\nAnswer: j**(-20790\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 709245 and 3675?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -465*a*c**2 - 2*a*c + 336*a*p**2 - 2*a - 6*c**3*p**2 - 457*c**3*p + 2*c - 973*p**2 wrt c?\nAnswer: -930*a - 36*c*p**2 - 2742*c*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 + r**2 - 10*r + 8*r - 1 to the form x + a*r + p*r**2 and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -y**2 - 7*y + 13. Calculate j(-7).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 20*z**3 + 7*z**2 + 21*z - 7. Let d(i) = 6*i**3 + 2*i**2 + 7*i - 2. Determine 21*d(l) - 6*o(l).\nAnswer: 6*l**3 + 21*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 175 - 175 + 1123*w**3 - 6371*w**3 - 2495*w**3.\nAnswer: -7743*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.01669 + -2.83181. Let u = -0.0055 + y. Let w = 0.856 - u. Round w to 0 decimal places.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/6 (b) -3 (c) 0.412 (d) -0.4 (e) 0.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*c = -6*c - 32. Let g(n) = 11*n**2 - 5*n - 8. Let v(b) = 7*b**2 - 3*b - 5. Calculate c*v(d) - 5*g(d).\nAnswer: d**2 + d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 7*x - 2384 = 0. Let h = x - -313. Let j = h - -680. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -267, -264, -261, -258?\nAnswer: -255","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 31 = -f - 3*f, 0 = 3*f + x - 22. What is the greatest common factor of 45 and f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1546, -1545, -1544?\nAnswer: -1543","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 2*i + 19 = -3*g, 0 = i + 5*g + 24. Let o = -0.5 + 0.7. Let q = 0.04 - 2.04. Which is the nearest to i? (a) o (b) 1\/4 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j**5\/3 - 130*j**4\/3 - 952*j**3\/3 - 974*j**2\/3 + 685*j = 0. Calculate j.\nAnswer: -5, -3, 0, 1, 137","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 250616*d**2 - 12*d - 4. Let o be f(-9). Round o to the nearest 100000.\nAnswer: 20300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1952 and 48.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = i + 4. Let g(s) = -s + 3. Let k be g(3). Let o be q(k). Let x be (-2 - (o + -1)) + 2. Is x at least -4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4550.7 + 4551. Sort -5, 4, -3, q, -0.04 in ascending order.\nAnswer: -5, -3, -0.04, q, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -62 - -65. Suppose 3*c - 13 = -2*v, 0*c + 2*c = 5*v - 23. Is c\/((-1)\/(-74)) + o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2, -1\/6, -4, -5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-5) + (-957)\/145\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a + 0*a - 7760 = -7766 for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 215.45 or -98?\nAnswer: 215.45","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1646 - -12?\nAnswer: 1661","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -61 - 54 = -3*x + 5*q, -3*q + 43 = x. Does 10 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 495903671 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*p + 7*p - 2*p)*(2*p + 4*p + 0*p + (-3*p - 3*p + 4*p)*(3 + 2 - 6)).\nAnswer: 16*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 92884381?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l**4\/4 + 401*l**3\/2 - 40391*l**2\/4 - 401*l\/2 + 10098 = 0. Calculate l.\nAnswer: -1, 1, 54, 748","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Solve -40*v + 8 = -42*v + 5*m, 4*m = 4*v + 28 for v.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 4 = 6. Suppose 0 = c*d - 26 + 2. Is d a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (101 - 70*b - 101)*(3 - 6 + 1)*(33*b + 7*b**2 - 2*b**2 - 34*b)*(b + b - 3*b) as l*b**4 + n + g*b**3 + h*b**2 + k*b and give g.\nAnswer: 140","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 3*m = 3, -3*t = 15*m - 10*m - 33. Calculate the lowest common multiple of 426 and t.\nAnswer: 426","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 20\/736*4*(-54)\/45\nAnswer: -3\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 891 is divided by 291?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 10.185801809 - -0.001\nAnswer: 10.186801809","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 27 + -3. Suppose 0 = f*s - 22*s - 50. Is 17 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*i - 199 - i + i**2 + 206 to l*i + b*i**2 + g and give g.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 6 - ((1 - 2) + 4 + -5)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v when two letters picked without replacement from {o: 1, v: 3, e: 2, m: 1}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 456*v = 452*v + 216. What is the remainder when 156 is divided by v?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -22 - -26. Suppose -55 = a*j - 243. Suppose -j = -5*o - z + 40, z = -3. List the prime factors of o.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8815409\/228 - -38664. Find the common denominator of -7*(-1)\/(-24)*28 and h.\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -925 + 628. Let t = h - -509. Suppose 0 = 5*c - c - t. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-38)\/((-4256)\/(-240)))\/1.\nAnswer: -15\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.05 and -1.2498.\nAnswer: 0.06249","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(110)*-1)\/sqrt(10).\nAnswer: -4*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*p - 13*p - 90 = 0 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) 5 (b) -26 (c) -1\/184504 (d) 1 (e) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -w - 2. Let p(b) = 0*b - 2 - b - 5*b + b**2. Let a be 1\/(-2) - (-30)\/4. Let x be p(a). Determine h(x).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r + 91*v + 56 = -r - r + 94*v, 644 = -56*r + 7*v for r.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (3\/2)\/((-3)\/4). Calculate the common denominator of 79\/6 and o\/20*(-99 + 2).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the first derivative of 4\/3*s**3 - 2*s**2 - s + 1\/4*s**4 + 2. Is f(-4) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3 + -159?\nAnswer: -156","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/3*(-432)\/(-120).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 16.32 - 46925?\nAnswer: -46908.68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*x**3 + 4*x**3 - 17*x**3.\nAnswer: -17*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (sqrt(405) + (sqrt(405) - (-5 + sqrt(405)*2)) + sqrt(405) - sqrt(405) - sqrt(405)) + -4)**2.\nAnswer: 18*sqrt(5) + 406","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 294592 rounded to the nearest 100000?\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -69 - -73. Let o be -1 - ((r + -1)\/3 - 2). Which is greater: o or -2\/3?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -18.56 in -0.5, -0.3, -0.2, -2\/93, -0.4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 203503 (base 6) to base 3.\nAnswer: 211110210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-1\/5))**(7\/6))**(-3\/10)\/(((w\/(w\/(w\/(w**(1\/2)*w))))\/w*w\/(w*w**(8\/7)))\/(w**(1\/5)*w**(-2\/5)\/w)) assuming w is positive.\nAnswer: w**(1059\/700)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that 330*c - 3*c**2 + 0*c**2 - 38212 + 38547 - 2*c**2 = 0.\nAnswer: -1, 67","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -0.3, -23\/24, -3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 7 = 1. Solve t = -t - r for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = w + 2*z + 2, -3*w - 2*z = -3*z - 8 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 72 - 73.26. Let r = 0.08373 + 1.17739. Let n = p + r. What is n rounded to 4 dps?\nAnswer: 0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3\/(21\/(-2))*238\/(-153)\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.15 (b) -1 (c) -1214 (d) -361\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 32 = -4*u - 3*i, -3*u = -4*i - 37. Which is the fourth smallest value? (a) 5 (b) 3\/2 (c) -5\/3 (d) u\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-106)\/(-84111)*69*69\/12?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*i + i + 2*i)*(5*i - 5*i + i**4) - 2*i**4 + 2*i**4 + i**5 - 238*i**5 + 22*i**4 + 117*i**5 + 120*i**5.\nAnswer: i**5 + 22*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 61 + -188 + 36 - -51\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2923 is divided by 121?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -3, -0.1, 3939\/9635?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 18.918 to 0 decimal places.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 4*w**2 + 2*w - 9. Let l be h(6). Let y = l - 74. Suppose s - 46 = -5*b, 2*s + 5 = -4*b + y. What are the prime factors of s?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*c**2 - 25072*c - 24062220.\nAnswer: -4*(c + 1183)*(c + 5085)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*-3*(sqrt(75) + -3) + (-4 + sqrt(75) + 0 - (-2 + sqrt(75) + 0 + sqrt(75))))**2.\nAnswer: -2500*sqrt(3) + 8125","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 47\/4 of a kilogram in grams?\nAnswer: 11750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 990 and 495?\nAnswer: 990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 5468969501 to the power of 1\/7, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -229 - -420. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -719 in -0.1, -0.2, -3, 2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i**2 + 133*i. Let r = 854 - 576. Let l(y) = 1 - 1 - r*y + 280*y. Determine l(g(b)).\nAnswer: 2*b**2 + 266*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 11 = 1. Let g(o) = -o - 32. Let v be g(-27). Put v, s, 4 in ascending order.\nAnswer: v, 4, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a gram in milligrams?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3190778?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -24535 less than -24566?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 181\/6 at most 29?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 0.3005935 centuries?\nAnswer: 360.7122","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l = -j + 3*j - 22, 0 = 3*l + 5*j - 43 for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 18*j - 26\/3 + 3*j**3 - 73\/6*j**2 - 1\/6*j**4.\nAnswer: -(j - 13)*(j - 2)**2*(j - 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -v**2 + 5*v. Let a be j(4). Let b be (-3)\/6 + (-15)\/(-6)*5. Suppose -6*h = -b - 0. Sort h, a, 5 in increasing order.\nAnswer: h, a, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*w - 46 + 35 = 0 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the first derivative of 7*s**2 - 18*s + 11. Let y be d(19). Let g = -123 + y. What is the units digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 3*o - 6. Suppose 3*s - 4*d = 61 + 57, 0 = -o*s - 2*d + 130. What are the prime factors of s?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19689*z - 19689*z - 44*z**2.\nAnswer: -44*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0\/(0 - (2 + 0)). Suppose 0 = -a*c - c - 5. What is the common denominator of (c\/(-8))\/(6\/120) and 16\/7?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 2*r**2 - 137*r - 10213. Determine b(-45).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*u - 4*v + 5 - 29, u + 2*v = 0. Suppose n - 16 = -2*o - 2, 2*o + u = 4*n. Solve -6*k - o = -k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - -5) + 2 - (4 + -11 + 13).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t + 58 = 2*a, -176*a - 179*a + 146 = 5*t - 351*a for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) be the second derivative of w**4\/6 - 2*w**3\/3 + w**2 - w. Let o(l) = l**2 - 3*l + 2. Let f = 516 - 1384. Let i = f + 865. Calculate i*o(m) + 2*a(m).\nAnswer: m**2 + m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -255*m = 279 + 996 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -17, -7, 7, 25, 47?\nAnswer: 73","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 126 + 4. Suppose -2666 = -8*a - j. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -25*r**2 - 50*r - 5. Let t(z) = -13*z**2 - 20*z - 2. Let u(o) = 2*l(o) - 5*t(o). Let s(y) = -17*y. What is u(s(a))?\nAnswer: 4335*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55*r = -62*r + 35. Solve 15 = -5*j + r for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -323 - -602. Is 52 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3\/5 - (-92)\/5. Suppose -l*r = -25*r + 42. Sort 5, -1, r in descending order.\nAnswer: r, 5, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1024463 and 55.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -17*w**3 - 2*w**2 - 2*w. Let n be x(-1). Calculate the greatest common factor of 17 and n.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -12675, -12556, -12437, -12318?\n\"Answer: 119*f - 12794","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 354 = 4*z - 1506. Calculate the greatest common factor of z and 93.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 35090, 35045, 34970, 34865, 34730, 34565?\nAnswer: 34370","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 12*f**6*w + 2147*f**4*w**3 - f**2*w**3 - 23966*f*w**3 + 2*w**3 wrt f.\nAnswer: 1440*f**3*w + 51528*f*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 3 - 9 = -l, 2*l - 24 = -3*w. Suppose -4*n + l + 4 = 0. Is n a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 3*a + 7. Let s be f(0). Solve z - g - g = -s, -4*z = 4*g - 8 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 11714 + 2*j**3 + 13*j - 5855 - 5859 - 10*j**2. Calculate h(3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mxx when three letters picked without replacement from pxkmkpxmmmkmmmmm.\nAnswer: 3\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 16.27 - -28.89. Let v = u + -44. Let j = v + -1.2. Which is the smallest value? (a) -0.3 (b) 2 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g - 59 = 102 - 21 for g.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = s**2 + 117*s - 1198. List the prime factors of u(81).\nAnswer: 2, 5, 7, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 9\/(-39)*(-124)\/(-18). Let s = -892\/273 + j. Find the common denominator of s and 77\/4.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 290*f - 4057. Let m be s(14). Solve -3*l = r + 13, m*l - 5*r = -2*l - 35 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 13) to base 14.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 197 = 4*h, h + 2*h = 4*q - 158. Calculate the remainder when q is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 848372 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: b\"What is the hth term of -43, 43, 439, 1349, 2977?\n\"Answer: 34*h**3 - 49*h**2 - 5*h - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 13) in base 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -60549 (base 14) to base 13\nAnswer: -8150b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -874\/60943 or -1?\nAnswer: -874\/60943","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1*5 - (6 + -4). Suppose -2*d + 3*g = -20, -d - 3*d + p*g = -28. Solve 0*l + 3*a + 22 = -2*l, -5*l = -d*a + 9 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1\/2*(1 + -3)*-3. Let w(v) = 32*v**2 - 4*v - 1. Let r be w(p). What are the prime factors of (r\/15 + 0)\/(1\/6)?\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(136)*3)\/sqrt(8))**2 + (2 + (sqrt(17) + sqrt(153))*6)**2.\nAnswer: 96*sqrt(17) + 10408","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 2*f + 15 = 11, b + 5*f - 14 = 0. Solve 3*y + 17 = 5*w, b*w = -3*y - w + 23 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 148742?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (4\/(-6))\/(5\/(-165)). What is the greatest common factor of 286 and i?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -37892 - -37896. What is the closest to 39.14 in f, 5, -5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*i + 43 - 15. Suppose 0*h + 2*h - 16 = 0. Let t = i + h. Solve 3*m - 2*o = -t, o - 23 = -m - 3*o for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4 - -9. Suppose -15 = y*g, -5*m + 8 = g - 4. Suppose 2*b - b = m. Solve -v - 18 = -b*a, a = v - a + 13 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 11040 and 161.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.1, 1.225, -5, 0, -0.3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -1022 (base 3) to base 8\nAnswer: -43","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 0 - (-1 - -6)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*y - 5 = 12*y. Suppose -y*i + 3*i = -18. Calculate the lowest common multiple of (-6)\/8*-4 + 28 and i.\nAnswer: 279","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tced when four letters picked without replacement from {e: 1, c: 1, t: 1, d: 3, a: 4, u: 6}.\nAnswer: 1\/14560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -774132.798 rounded to the nearest one hundred thousand?\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 254777672 to the power of 1\/2, to the nearest integer?\nAnswer: 15962","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 1451?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (35\/(-63))\/((-10)\/306).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 7288960 divided by 182224\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 10*o**3 + 727*o**2 - 215*o + 160. Determine t(-73).\nAnswer: -132","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2, 10, 20, 32, 46, 62, 80?\nAnswer: 100","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (-3 + -1 + -2*sqrt(17) + (2*sqrt(68))\/sqrt(4) + 2 + 4 + sqrt(1377) + -1 + 1)**2.\nAnswer: 36*sqrt(17) + 1377","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 137 minutes before 3:00 AM?\nAnswer: 12:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 61 = t + 3*j - 3105, 2*t + 3*j = 6329. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 110 - -33230?\nAnswer: 33340","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0 (b) 42 (c) 35 (d) 4.29\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 2\/327 and -79\/317868.\nAnswer: 34647612","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 558277?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5192003.\nAnswer: 653, 7951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.05716 and 80222?\nAnswer: 80222.05716","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-10)\/6)\/((-4)\/12). Suppose -o*p - 3*s = -2*s - 22, -s + 2 = 0. Let y be 1*p\/(12\/39). Calculate the greatest common divisor of 143 and y.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -59368, -59303, -59238, -59173, -59108, -59043?\n\"Answer: 65*t - 59433","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -7989800 rounded to the nearest 1000000?\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2 and 680?\nAnswer: 680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) 0.5 (b) 0.1 (c) 11\/4 (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 39\/4*u - 9\/4 - 3*u**2.\nAnswer: -3*(u - 3)*(4*u - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 176\/19 or 8?\nAnswer: 176\/19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*g**6 + 1310*g**5*r + 2*g**2*r + 177*g**2 + 3*r wrt g?\nAnswer: -360*g**3 + 78600*g**2*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 w and 1 d when four letters picked without replacement from wdwdwdkd?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -4*(-91)\/(-468)*3\/(-14)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 96950034.\nAnswer: 2, 3, 598457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 1. Let w(u) be the third derivative of -u**4\/12 - 3*u**3 + 3*u**2. Let l(c) = -5*f(c) - w(c). Is l(12) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k + 10*k = -0*o - o - 35, -2*k = -3*o - 13 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10154604.\nAnswer: 2, 3, 846217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 4259, 4254, 4249, 4244, 4239, 4234?\n\"Answer: -5*f + 4264","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 1665*p**3 + 6*p**2 - 16*p - 14. Is w(3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 466 is divided by 268.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 646119 is divided by 145?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/16 + 656879\/223068. Let s = p - 18\/641. Find the common denominator of -61\/96 and s.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (t + t + 0*t**3 + 2*t**2 + 3*t**3)*(-437 - 2421 + 105) to the form p*t**3 + j + b*t**2 + i*t and give b.\nAnswer: -5506","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 34 - 176?\nAnswer: -142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the second derivative of -33*v**3\/2 + 2*v**2 - 3*v. Is g(-9) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 329.6245ml to litres.\nAnswer: 0.3296245","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 1 - (0 - 3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 2*r**2 - 33*r - 16. Calculate o(17).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -3*n**2 - 10*n - 3. Give k(-8).\nAnswer: -115","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -a + 10. What is the remainder when 9 is divided by d(6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3980 and 6.\nAnswer: 11940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3250 (base 7) to base 8.\nAnswer: 2212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 32 - 42. Let g(w) = -w**3 - 10*w**2 + 4. Let p be g(b). Suppose -p*s + 9*s - 5 = 0, 4*n - 5*s = 1043. Is 15 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wu when two letters picked without replacement from {m: 5, i: 4, u: 1, z: 1, b: 7, w: 1}.\nAnswer: 1\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + 11 + -10 - -3?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + (12 - (52 + 59 + (-1 - -1))).\nAnswer: -101","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 488040 and 4740960?\nAnswer: 33186720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) be the first derivative of 6*l**3 + 29. What is the tens digit of x(-4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38 = v - 2*q - 0*q, v - 46 = 4*q. Let z = v + -16. Does 7 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*6*(0 + sqrt(931))**2.\nAnswer: 22344","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tv when two letters picked without replacement from mvtlttvmmmmfllmv?\nAnswer: 3\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 95061 = 33*r - 235467. What is the ten thousands digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 328 minutes after 9:46 AM?\nAnswer: 3:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1092 + -1109)*3\/((-6)\/4).\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 567.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 3*y = -2*y - 684, -o + 171 = -3*y. What is the units digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*j + j + 2*j)*(-2 + 9 - 19) - 2*j + 3*j - 4*j - 3*j + 3*j + 2*j - 1 - 2*j + 1 + (2*j + 3 - 3)*(-1 - 1 + 4) - 7 + 7 + j.\nAnswer: -10*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-3*k + 0*k + k)*(-5*k - 14*k + 25*k) - 4 + 4 - 2*k**2)*(0 + 3 - 2) in the form w*k + f*k**2 + b and give f.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cqaq when four letters picked without replacement from {y: 1, a: 1, m: 4, f: 2, q: 8, c: 4}?\nAnswer: 28\/14535","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that -40*f - 20 + 60*f**2 + 15*f**2 + 66*f**3 - 31*f**3 - 15*f**5 - 35*f**4 = 0.\nAnswer: -2, -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aaa when three letters picked without replacement from aaaaaaa.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -4*d + 3. Let l(z) = 3*z - 2. Suppose 7*g = 3*j + 9*g - 19, -20 = -6*j + 5*g. Calculate j*l(v) + 4*f(v).\nAnswer: -v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-6)\/4 - (-324)\/(-8). Let i = 60 + s. Does 9 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-4\/3)*v**6*(v**1)**(-33)*((v*v\/(v**5*v))\/v*v*v*v*v*v**2*v*v)**(-32) assuming v is positive.\nAnswer: v**(-373\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*c + 3*c - x = -34, -10*x + 10 = -c - 11*x for c.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**8\/j*j)**(1\/31)\/(j**(-5))**43 assuming j is positive.\nAnswer: j**(6673\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1992\/235 - 21\/94. Let q = -373\/26 + -15\/13. Calculate the common denominator of q and x.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-h + 3*h - 4*h)*(-16 - 1 + 7)*(3*h**3 - 4*h**3 + 2*h**3) to c*h**3 + j*h**2 + x*h**4 + v*h + l and give x.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.460023 to 2 decimal places.\nAnswer: -1.46","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 384 is divided by 35?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = r - 5*k, 2*k + 6 = 4. Suppose 0*p + r*p = 15. Suppose 0 = 4*j - 5*v - 89, 4*j + v - 3*v = 74. Calculate the remainder when j is divided by p.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = n**2 - 27*n + 51. What is v(25)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 245*j - 137*j - 127*j + 190 for j.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -8508*b - 11453*b - 4404*b + (1 - 2*b - 1)*(1 + 2 - 5) + 2 - b - 2.\nAnswer: -24362*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 4 + 1 + 2 + g. Let x be l(-9). Sort x, 0, -1 in decreasing order.\nAnswer: 0, -1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -16*b**3 + 94*b**2 + 60*b + 12. Let u(m) = -16*m**3 + 92*m**2 + 61*m + 13. Let y(x) = 6*o(x) - 5*u(x). Solve y(h) = 0.\nAnswer: -1\/4, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1.3 - -1. Let n = 0.78 - 2.68. Which is smaller: n or b?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 3, d: 1, b: 3, e: 3, c: 7, l: 1}. What is prob of picking 1 c, 1 d, and 1 b?\nAnswer: 7\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1888 + 87 = 188*j + 95. Suppose 115 = -5*y + 1350. Calculate the remainder when y is divided by j.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 443 times -142?\nAnswer: -62906","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -a**5 + 5*a**4 + 15*a**2 + 4*a - 5. Let y(o) = -6*o**4 - 16*o**2 - 5*o + 6. Let x(u) = -6*i(u) - 5*y(u). Find the second derivative of x(k) wrt k.\nAnswer: 120*k**3 - 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1 + -4. Is (0 - m) + (189 - -7) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12445\/(-129428))\/(3*(-5)\/(-6))?\nAnswer: -1\/26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/13 in 0.3, -170\/7, -0.14?\nAnswer: -0.14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 698650*z - 349322*z + 4 - 349348*z.\nAnswer: -20*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.7, -7, -3, -6, 0.2558 in decreasing order.\nAnswer: 0.2558, -0.7, -3, -6, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 1 + 0)*(97*l**3 + 142*l**3 + 47*l**3 + 29*l**3).\nAnswer: -630*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = -6*k. Let w(d) be the second derivative of k*d**5 + 1\/3*d**3 + 2*d - 1\/30*d**6 + 1\/4*d**4 + 0 + 0*d**2. Factor w(l).\nAnswer: -l*(l - 2)*(l + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, -0.3, 0.4, 5, -4 in decreasing order.\nAnswer: 5, 0.4, 0.3, -0.3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 252 and 144?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.35 - 0.15. What is the closest to -2\/5 in a, -2\/3, 0.3?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0001471007732 rounded to five dps?\nAnswer: 0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 64244 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1031 - -1030.354. What is k rounded to 1 dp?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14289447 equal to 14289447?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 4 = w + 5, -3 = 3*w + 5*u. Let z be (-13)\/w + -3 + 0 + 0. Solve 3*j + 2*j = 2*i + z, -2*j - 20 = 4*i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -d**2 - d. Let z(t) = -13*t**2 + 11*t + 11. Let c(s) = -7*s**2 + 6*s + 6. Let u(g) = 11*c(g) - 6*z(g). What is u(l(k))?\nAnswer: k**4 + 2*k**3 + k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 23*c - 6 + 3 + 5 in the form h + i*c and give i.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 357, 266, 113, -102, -379, -718?\n\"Answer: -31*b**2 + 2*b + 386","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 3*u**2 - 5. Let z(p) = 1. Suppose 2 + 0 = 2*h. Let q be (-21)\/(-14)*3*164\/3. Let g = 250 - q. Give g*z(r) + h*l(r).\nAnswer: 3*r**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7.3 - 7. Let f = -7 + 3. Let y be 4\/(-10) + 24\/10. What is the second biggest value in y, f, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the third derivative of -s**6\/120 - s**5\/15 - 23*s**2. Let r be q(-4). Suppose 5*l + 8 - 33 = r. Solve -l + 17 = -4*x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 23 - 20. Suppose 1370 = -n + j*n. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12\/17*v**2 - 64\/17 + 0*v + 2\/17*v**3 = 0. Calculate v.\nAnswer: -4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 8.472 or 2\/53?\nAnswer: 2\/53","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -22530, -26584, -30636, -34686, -38734, -42780?\n\"Answer: k**2 - 4057*k - 18474","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -216\/973967 or 1?\nAnswer: -216\/973967","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -6.76 and -734?\nAnswer: 727.24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -4999.49 times -3?\nAnswer: 14998.47","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4386 and 1032.\nAnswer: 17544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is (-91)\/182 + (-2)\/(-4) + -6 + 15845 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.2 and -7228620.\nAnswer: -1445724","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/11 - (1960\/330 - 6)*(-83 + 11)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.5 (b) -35 (c) -45\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2 + 547?\nAnswer: 549","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 11 + 2 - (74 + 10 + -2 + -6)\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36355408*k + 36355408*k + 98 - 82 + 5*k**2.\nAnswer: 5*k**2 + 16","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13142041 (base 5) to base 11.\nAnswer: -8a387","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 25\/20*(-19)\/190.\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.1 and 841?\nAnswer: -84.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 963 is divided by 57?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - -1 - 3) + -2?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 37*j**2 - 71 + 38 + 33 + 30*j**2 - 30*j**2.\nAnswer: 37*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4680 and 423?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5493*a*n**3 + a*n**2 + 5*a*n - 34*a - 250125740*n**3 wrt a.\nAnswer: -5493*n**3 + n**2 + 5*n - 34","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 93\/8 and -57\/580.\nAnswer: 1160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 2340 a multiple of 78?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -40 - -46. Let c be (2*(-4)\/24)\/((-1)\/o). Solve 0 = c*x - 0 - 4 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:17 AM and 6:42 PM?\nAnswer: 445","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i when two letters picked without replacement from {p: 7, d: 2, i: 7}?\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 128 and 192?\nAnswer: 384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 2248 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 40091 and 1739?\nAnswer: 1483367","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 3*(-2)\/(-2)*(-20)\/15?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5537\/6 - -931. Let h(f) = -4*f**2 - 3*f - 10. Let q be h(-10). Find the common denominator of -4 - -4 - q\/16 and x.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -p**3 + p**2 - 2*p + 4. Let m be a(-3). Let n = m - -102. Let j = n - -55. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 31 = 2*j - 0*j, 18 = 3*j - 2*t. Solve 12 = j*h - 5*h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 402 = 13*n + 337. Solve -n*r + 4*d + 16 = 0, 2*r - 4*d = -2*d + 6 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5218?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that 4*m**4 - 444*m**3 - 12*m**2 + 1324*m + 888 = 0.\nAnswer: -1, 2, 111","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -w + 24. Let g = -787 - -833. Calculate the remainder when g is divided by j(0).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 5, d: 1, l: 11, s: 2, t: 1}. What is prob of sequence tk?\nAnswer: 1\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 227645557 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 133 times -35?\nAnswer: -4655","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -693 + 4aa4?\nAnswer: 4411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-40)\/12)\/((-12)\/261). Let z = b + -74. Let x = -359\/3485 + -3\/205. What is the smallest value in x, z, 1\/5?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -3*(1 + 0 + -13). Suppose -4*n + 72 = -n. What is the highest common divisor of u and n?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4541400 and 522000?\nAnswer: 45414000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1096 = -4*p + 52. Is p a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -i - 9. Let y be f(-13). Let p be (-4)\/(-6) - 20\/(-15). Suppose 140 = p*o + 3*o. Calculate the greatest common factor of o and y.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 106395711 to the nearest integer?\nAnswer: 10315","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 416\/26000 + (-93)\/(-2000)\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1415 + -1385. What is the least common multiple of v and 270?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -745 + 1188. What is the units digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 38 is divided by 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 39727 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 3*i - h = 0, 3*h + 14 = 2*i. Which is the fourth biggest value? (a) i (b) -0.4 (c) -0.2 (d) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 58938 is divided by 83?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*y + 6*y - 7*y**3)*(-12*y**2 + 7*y**2 + 8*y**2).\nAnswer: -21*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000000122 to seven decimal places.\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*t - 33 = 12*l + 23*t - 48*t, -5*t = -2*l - 55 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6970 + 7090. Calculate the greatest common factor of g and 2190.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(-5)*-10 + -4?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -8 + 4 - (-19 + (-3)\/(-1)). Let a = y - 3. What is the units digit of -103*-3*3\/a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 188949413 and 29.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 11, -0.01, -5\/2?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3 - 0. Let n = o - 3. What is the second biggest value in 2, 5, n?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1329?\nAnswer: 3, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2, -3\/2, -3\/5, 45?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 181314 - 263744. Is 2\/11 + s\/(-22) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) be the first derivative of -15\/2*m**2 + 3 + 1\/24*m**4 - 1\/60*m**5 + 0*m + 1\/3*m**3. Let y(h) be the second derivative of j(h). Give y(2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -439 - -6160. Let p = 15427073\/2706 - 1907\/451. Let i = y - p. Calculate the common denominator of -61\/14 and i.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -221404431 (base 5) to base 14.\nAnswer: -1b21b3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 3010 divided by -70\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7 - 5. Suppose c = -n*c. Which is smaller: c or 1\/2?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = q. Let g(n) = 11*n**2. What is g(h(f))?\nAnswer: 11*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pppbpbppbpbpppwbp. Give prob of sequence bwp.\nAnswer: 11\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -19 + 16 + 0 - 18 - 2*l to the form h*l + r and give r.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -13, -1\/51, -4\/9?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.8? (a) 0.6 (b) -7 (c) -4 (d) 1\/2381\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 892.3635 centuries in months?\nAnswer: 1070836.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-104)\/(-10)*75\/10. Let p be (-4)\/(-26) - 402\/u. Let y = 12 + p. Does 7 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = w**3 + 6*w**2 + w + 11. Let r be y(-6). Suppose -4*i = 0, 0*o + 3*i = -r*o + 270. List the prime factors of o.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 152770351?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -2094\/86657?\nAnswer: -2094\/86657","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 13618 - 9175. Suppose -4*b + o = -b. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -g**2 + 2*g - 1. Let n be w(1). Suppose n = -3*x - 3 + 15. Let h be ((-8)\/6)\/(1\/(-15)). Calculate the greatest common divisor of h and x.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.2 (b) -1\/8 (c) 5 (d) 0.1 (e) 0.3 (f) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 6*b = 0. Let k(f) be the second derivative of 1\/18*f**4 + 0 + 0*f**3 + b*f**2 + 1\/30*f**5 - 2*f. Determine c so that k(c) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*n - p + 149, -8 = n - 3*p + 39. Let x = 53 + n. Solve -r - 12 = 4*b, 2*r = -x*b - 14 + 5 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 0.4 (b) -0.5 (c) 0.5 (d) 5 (e) -0.214\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that 0 - 1\/7*p + 13\/7*p**2 - 12\/7*p**3 = 0.\nAnswer: 0, 1\/12, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((sqrt(1008) - sqrt(1008)*-4) + sqrt(1008) + 1 + sqrt(1008)).\nAnswer: -504*sqrt(7) - 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*n + 6*n = 8, -5*x + 2*n + 14919 = 0. List the prime factors of x.\nAnswer: 19, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 21*y - 2. Let g be -1*1\/(3\/(-3)). What is the units digit of u(g)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -918962*g*n*x + 368915*g*x**4 + 2*g*x**3 + 19*g*x - 6*n*x**3 - 3*n*x**2 + 2*x wrt x.\nAnswer: 8853960*g*x + 12*g - 36*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t\/((t\/(t\/t**21*t))\/t*t))**(4\/9) assuming t is positive.\nAnswer: t**(-8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -316*s**2*t**6 + 24*s**2*t**4 + s**2 - 802*s*t**2 - 5*t**2 wrt t.\nAnswer: -37920*s**2*t**3 + 576*s**2*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -125 - -30. Let a = 557 - 461.6. Let r = y + a. What is the third biggest value in -0.4, 1, r?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that -9892*y**2\/7 - 39556*y\/7 + 48\/7 = 0.\nAnswer: -4, 3\/2473","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 7*u + 3*u = -3047, 0 = -39*x - u + 117903. Solve 4*y - 3015 = -x for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*j = -5*j. Suppose 2*w + 5 - 111 = j. Let t = w - 47. Solve -4*n + 24 = 4*l, -4*n + l + l = t for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(190) - (sqrt(190) + (sqrt(190)*-2 - sqrt(190) - sqrt(190) - sqrt(190))) - sqrt(190)))\/(1*sqrt(90)).\nAnswer: 8*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.04 (b) 26 (c) 5\/3 (d) -0.3 (e) 2 (f) 207\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 u when three letters picked without replacement from uuuuuuuuuuuuuuuuuut?\nAnswer: 16\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lkmlllkoolkololkook. Give prob of sequence lm.\nAnswer: 7\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 243548213 to the power of 1\/8, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -145\/6 and -113\/3402?\nAnswer: 3402","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 408 minutes after 4:53 AM?\nAnswer: 11:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 + 7 - -5 - 0.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 58.9662 months?\nAnswer: 0.491385","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-54)\/8)\/((-27)\/(-72)). Let f be 0*6\/i*3. Solve -2*t = -f*t + 2*b - 16, 12 = 4*b for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -173947, -347896, -521845?\n\"Answer: -173949*c + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (-1 + 9 - 2) + -5 + 3\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 40? (a) 3 (b) 0 (c) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.0961 and 4.\nAnswer: 4.0961","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 3*u**2 - 24*u + 28. Let a be x(9). Suppose -2*g = 9*g - a. Calculate the highest common divisor of g and 120.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 6951595?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(315)\/sqrt(7) + 4 + (sqrt(5)*2*-4 - -1*2*sqrt(5)).\nAnswer: -3*sqrt(5) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-1)\/(-7))\/((-2)\/(-2614)). Let s = h - 185. Let v = 3627 + -29065\/8. Calculate the common denominator of v and s.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*c + 17*c - 30 = 0. Let t be 15\/c*(-4)\/5*194. Let b = 590 + t. List the prime factors of b.\nAnswer: 2, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 + 10 = 3*k. Suppose -r + 4*t = -2, -2*r + k = 3*t - 38. Suppose 4*s + 12 = 0, -3*l + 2*s + r = -0*s. List the prime factors of l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 86*n**2. Let p(j) = 8*j. Calculate p(b(q)).\nAnswer: 688*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = v**2. Let z(p) = 1956522*p**2. Determine z(h(j)).\nAnswer: 1956522*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1399014 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 8*r*v**6 - 1676*r*v**2 + r*v + 5*r - 298230*v**6 + 2*v**2 wrt v?\nAnswer: 960*r*v**3 - 35787600*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -6 (base 16) to base 14\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = -g. Let x(l) = 2*l. Let j be x(g). Solve j*t - 16 = 4*t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 280\/(-42) - 2\/(-3). Let m = p - -6. Solve m = 3*s + 2 - 17 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*a**3 - 37*a - 80*a**2 + 37*a.\nAnswer: 12*a**3 - 80*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) -0.28 (b) 0 (c) -209\/5 (d) -5 (e) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 36*z + 1547. Calculate u(-43).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 113 - 1340?\nAnswer: -1222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-92)\/69*12*(-9)\/(-72)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of 5 and 29846417.\nAnswer: 149232085","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 58149284?\nAnswer: 2, 71, 204751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j = j - 5*r + 10, 2 = -j + r for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = n + 7. Let p be a(-6). Let b(g) = -2*g**3. Let t be b(-1). Put p, t, -4 in increasing order.\nAnswer: -4, p, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 944033.7 centuries to years.\nAnswer: 94403370","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.05226722 to four decimal places.\nAnswer: 0.0523","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/(r**4*r)*r\/r**(-8\/7)*(r**(-4))**(-9\/7))**(-50) assuming r is positive.\nAnswer: r**(-1150\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5091 and 3098.\nAnswer: 15771918","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = -5*q - 25, -2*b = -q + 5*q - 4. Let x = 3 + -2. Let k = b - x. List the prime factors of k.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4.4 - -4. Let p be (-3 - 0)\/(6\/(-8)). Suppose -15 = 3*y + 3*q, 0 = -2*q - 2 - p. What is the second biggest value in y, 2, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -14\/11?\nAnswer: -14\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -31*j**2 + 7*j - 6. Let h(a) = -7*a**2. Give 4*h(m) - k(m).\nAnswer: 3*m**2 - 7*m + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.3 (b) -2 (c) 16 (d) -12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(2*sqrt(300))**2*-3.\nAnswer: 10800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 14566 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-50421)\/2058*63\/49?\nAnswer: -63\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*1*(-1)\/(-12*30\/2340).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -307791 divided by 130?\nAnswer: -307791\/130","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.111038 + -0.111. Round b to 5 dps.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-b**2 - 8*b - 3*b**2 + 7*b)*(-4*b**2 + 0*b**2 - b**2 + (-3 - 1 + 3)*(-b**2 + 3*b**2 - 3*b**2))*(-5*b + 5*b + 4*b).\nAnswer: 64*b**5 + 16*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0 + -1 - 21\/(-7). Suppose -146 = 4*u + k*s, 0*u + 4*s - 189 = 5*u. Let h = u - -55. List the prime factors of h.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -5\/2, 1\/112, 0.2?\nAnswer: 1\/112","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 15) to base 7.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2 - 6868?\nAnswer: -6866","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:19 AM and 2:00 PM?\nAnswer: 641","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the first derivative of -36 - 4 + 2059*l - 2031*l + 9 + l**5. What is the derivative of i(c) wrt c?\nAnswer: 20*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 193\/5, 0.3, -0.3 in ascending order.\nAnswer: -0.3, 0.3, 193\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s, 1 i, and 2 l when four letters picked without replacement from bsddddsccddbliicbl?\nAnswer: 1\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 90 or 1334\/15?\nAnswer: 1334\/15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1433 to the power of 1\/3, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the second derivative of z**5\/5 - 5*z**2\/2 - 7*z. Differentiate v(s) wrt s.\nAnswer: 12*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) be the first derivative of -j**3 - 13*j + 12. Let t(w) = -2*w**2. Calculate c(t(x)).\nAnswer: -12*x**4 - 13","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 2*s - 10 = 0. Solve 5*p = 6*b - b + 15, -4*b = s*p + 12 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.6 not equal to 6460?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-7*(-3)\/(-525))\/((-4)\/(-10)). What is the nearest to -5\/4 in 0, -17, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 407*i - 393*i = -84 for i.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = v + 2. Let o(r) = r + 1. Calculate h(m) - 2*o(m).\nAnswer: -m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-10 - -12) + 2\/1. What is the greatest common divisor of g and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1020*c**3 - 2*c**2 + 37*c wrt c.\nAnswer: -6120","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-515)\/412)\/(2\/(-8)). What is the highest common factor of a and 375?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = j**2 - 27*j + 7. Calculate l(20).\nAnswer: -133","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -33, -122, -1 in descending order.\nAnswer: 2, -1, -33, -122","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -i + 24. Let t be b(-20). Let z = -3 + t. Calculate the remainder when z is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7560 (base 12) to base 10\nAnswer: -12888","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (-1*((-1 + sqrt(1216) - sqrt(1216)) + sqrt(1216) - sqrt(1216)))**2 + (sqrt(304) + (4 + -2*sqrt(304))**2 - sqrt(304)).\nAnswer: -64*sqrt(19) + 1232","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 45381, 45550, 45831, 46224?\nAnswer: 46729","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -2*l - 32. Let m be n(-22). Let d be (-8*3)\/(18\/m). What is the common denominator of -37\/9 and (2 - (-24)\/(-9))*d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1000001 - -100100111111100101?\nAnswer: 100101000000100110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -36952.5 + 36953. What is the second smallest value in -4.9, -2, 62, c?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 38064.26 millennia?\nAnswer: 38064260","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/11 - (-456)\/88. Let n be a\/(-10)*2*1. Is (-52)\/(2 + -3 + n) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2.1 + -31151.5805586.\nAnswer: -31153.6805586","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 2*z**2 + 22*z + 33. Give x(-11).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:20 AM and 10:05 AM?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (69*b + 5 - 241*b - 12*b**2 + 171*b)*(2*b**2 - b**2 - 2*b**2) to the form d*b**4 + c*b**2 + i*b + t + y*b**3 and give c.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -u**2 + 37*u - 164. Give b(32).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 13046 - 4?\nAnswer: 13042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -5382*d**2 + 9*d - 16. Let s be y(3). Let f be s\/9 - (0 + 14\/63). Let k = -2952 - f. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/3)\/((-18)\/189)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 30 = b, -2*z + 3*z = -3*b + 92. Suppose 5*u + 0*u - b = -2*p, -3*u = -3*p - 6. Let h(a) = -a + 6. Determine h(u).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r**3 + 205*r**2 - 1630*r + 2400 = 0.\nAnswer: -48, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 1, h: 1, e: 1, f: 2, z: 2}. What is prob of picking 2 f and 1 h?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0.07 (b) 10 (c) -0.06\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 37835802?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (16 + 18*v - 14 - 4*v)*(3*v**4 - 3*v**4 + v**4).\nAnswer: 14*v**5 + 2*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 49, 0.3, 5, -0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 22 - 22 - 10*j**3 + (-j**2 + 5 - 5)*(-58 + 58 + 215*j) in the form q*j + t*j**3 + z + c*j**2 and give t.\nAnswer: -225","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) be the second derivative of -7*w**3\/6 - 2*w. Let x be j(-4). Let h = x - 10. Calculate the lowest common multiple of h and 4.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -16 + 12. Let l = -5 - h. Which is bigger: 0.04 or l?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j + 4*n = 1 - 2, j + 3*n = 4 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 18*c - 29. Let h be y(2). Suppose -4*s - 25 = g, -h*g - s = -5*g + 15. Sort g, 5, -45 in ascending order.\nAnswer: -45, g, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -3*t - 5. Let s(b) = 1 - 20*b - 5 + 55*b - 38*b. What is 4*a(z) - 5*s(z)?\nAnswer: 3*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 8821.67 millilitres in litres?\nAnswer: 8.82167","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -137*g + 153*g = 26816. What are the prime factors of g?\nAnswer: 2, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -97 - -97. Suppose 2\/9*y**3 + k*y**2 - 2\/3*y - 4\/9 = 0. What is y?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19880 = -5*y - 3*w, 4*y - 15381 = -4*w + 515. Suppose 0 = -31*f + 5910 + y. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00291875 rounded to five dps?\nAnswer: 0.00292","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = v**2 - 19*v + 34. Let p be u(17). Solve p = -3*l + 1 + 14 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10069588 divided by 229\nAnswer: 43972","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*g**2 - 2*g**2 + 0*g**2 + (0*g - 4*g + 6*g)*(-3*g - 2*g + 4*g) + (4*g - 5*g - 1 - g)*(0*g - g + 3*g).\nAnswer: -11*g**2 - 2*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(((sqrt(1053) - (3*sqrt(1053) + 4))*5)**2 + ((sqrt(1053) - (sqrt(1053) + sqrt(1053)*-2 - sqrt(1053)))*1)**2*-6)*-2.\nAnswer: -293028 - 21600*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxxuuxx. What is prob of picking 3 x?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3149 or 393737\/125?\nAnswer: 393737\/125","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5 - -5. Suppose -2*j - 4*o - 18 = 0, k = -5*j - 3*o - 0. Let n = j - 0. What is the units digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1617*t + 8456*t + 628*t - 1811*t.\nAnswer: 8890*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1000 + -1000110?\nAnswer: -111110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -2 - 3*p**3 + 4*p - 4*p**2 + p**3 + 3*p**3 + 0. Let g be t(3). Let y be g*((-81)\/24 + 3). Which is the third biggest value? (a) y (b) 0.5 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:21 AM and 1:31 PM?\nAnswer: 130","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -481*k**3 + 5*k**2 + 5*k + 5. Let b(h) = 2*h**3 - h**2 - h - 1. What is -5*b(f) - i(f)?\nAnswer: 471*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 18, -5 in ascending order.\nAnswer: -5, -1, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(128) - -2*sqrt(128)) + 4 + 3)**2.\nAnswer: 336*sqrt(2) + 1201","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40\/3*q**2 + 34*q + 0 + 2\/3*q**3 = 0. Calculate q.\nAnswer: -17, -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(140)\/sqrt(4))\/(sqrt(30)\/(-3*sqrt(6))).\nAnswer: -18*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d when two letters picked without replacement from {p: 4, d: 10}.\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 13\/6 at most 46255?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(2*sqrt(275) + 0 + 1)**2.\nAnswer: 100*sqrt(11) + 5505","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(1*sqrt(2541)*-6)\/(sqrt(363) + (sqrt(363) - 6*(sqrt(363)*-2 + sqrt(363)) - sqrt(363))).\nAnswer: -18*sqrt(7)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = 2*h - 42, 0*z + 3*z = 0. Suppose 2*y - 339 = 3*t, 3*y + 93*t = 90*t + 456. What is the remainder when y is divided by h?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = b**3 - 31*b**2 + 2*b - 60. Let z be v(31). Let w(j) = 4*j**2 + 6*j**2 - 9*j**z - 6*j. Let c = -12 - -17. What is w(c)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in twenty-five quarters of a year?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -12*z**2 - 2*z + 1. Let q(o) = -o + 3. Calculate r(q(c)).\nAnswer: -12*c**2 + 74*c - 113","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3446290?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(-3 + 1*(-2 + sqrt(17)))*-3)**2*3.\nAnswer: -270*sqrt(17) + 1134","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 7*u**2 - 2*u - 5. Let f(m) = -20*m**2 + 5*m + 14. Let l(c) = -4*f(c) - 11*z(c). Let g be l(1). Solve -7 = g*p + 1 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -41 - -60. What is the units digit of t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (55 - 4)*28\/(-21). Which is bigger: -17 or g?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -160 - -314?\nAnswer: 124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1528 by -4.\nAnswer: -382","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + f = 9, -2*w - 2*f = -0*w - 10. Let u = -14 + 19. Which is the third biggest value? (a) 2\/3 (b) 9 (c) w (d) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00834117 rounded to three dps?\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -14*r**6 + 28*r**2 + 21*r + 21. Let t(i) = i**6 - i**2 - i - 1. Let m(l) = b(l) + 21*t(l). What is the third derivative of m(g) wrt g?\nAnswer: 840*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 6*t - 8. Let f(d) = 11*d - 17. Let g(i) = -2*f(i) + 5*y(i). Let j be g(-8). What is the units digit of ((-6)\/4)\/(15\/j)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*p - 471 = -4*u + 4*p, -5*u = -4*p - 558. Let z(h) = h - 1. Let t be z(5). Suppose v = -b + 3*b + 26, t*v + 2*b - u = 0. Is v a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 * -0.06353\nAnswer: -0.006353","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 6376640 divided by -3\nAnswer: -6376640\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 f when three letters picked without replacement from ffffiffisf.\nAnswer: 7\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 18282 + -18272. Solve s*n + 428 = 428 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -33.3 - 214.7. Let x = r + 247.8. Which is the closest to 5? (a) 3 (b) -0.3 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = 4*a + 3, -5*g + 4*a - 2*a + 33 = 0. Solve -4*b = -15 + g for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -n**2 + 4*n - 3. Let t be g(2). Let d be t + 7\/(-2) - -2. Let v = 1.77 + -1.47. Which is the nearest to -1? (a) -2\/7 (b) d (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mgmaggq. Give prob of sequence qg.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2.8588 and -75.\nAnswer: 214.41","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 47 = -10*i + 9*i, -12 = n + 5*i. Calculate the remainder when 1207 is divided by n.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 8 + 7 - 2*r - 2*r + 5*r in the form k*r + j and give j.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = -5*i + 2*s, 26*s - 21*s + 10 = 0 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d**3\/5 - 18*d**2\/5 - 8*d - 24\/5 = 0.\nAnswer: -6, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.4 from -300403.2097.\nAnswer: -300403.6097","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Do 2 and 9749\/18324 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 272827.2mm?\nAnswer: 27282.72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -459 = 3*v - 444 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 379660 - 162669. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 6\/15*(-10)\/(-6). Let a be -4*(-4)\/(-24) - (-1 - 0). What is the biggest value in o, 5, 0.1, a?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/(-12) + 0*(-7)\/126. Which is the fourth smallest value? (a) -0.5 (b) 0.05 (c) -2 (d) x\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2217183, -4434359, -6651535, -8868711, -11085887, -13303063?\nAnswer: -15520239","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = t**2 - 42*t + 85. Let b be v(40). Let s = -7 + 10. Suppose s = b*j - 12. What is the greatest common divisor of j and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 106*h**2 - 53*h**2 - 106*h**2 + 95*h**2.\nAnswer: 42*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*q - 4 - 16. Let y be (-37)\/(-3)*(-6)\/q. Let a = 18 - y. Is -1 at least a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = -3*k + 15, -4*g = 3*k - 5 - 3. What is the units digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 9 + o**3 + 8*o**2 - 28*o + o + 7*o**2 + 0*o**2 + 11*o**2. Suppose -3*f + 69 = -0*f. What is the remainder when f is divided by a(-27)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((sqrt(66) - (sqrt(66)*-1 + sqrt(66)))*5)\/((sqrt(60)\/sqrt(2) + sqrt(30))\/sqrt(5))*-3 + 0.\nAnswer: -45*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 480 is divided by 23?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 190? (a) -3 (b) 5 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0 - (-4 - -1) - -42. Suppose -n = -2*z - z. What are the prime factors of z?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9 - -19 - 10) + 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1)\/((-5)\/(-6) - 31\/30). Which is greater: y or 327?\nAnswer: 327","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the third derivative of 34*x**5\/15 + 9*x**4\/8 - 13*x**3\/3 + 32*x**2. Let u(p) be the first derivative of h(p). Is u(7) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2908.402 - 5.598. Which is greater: v or 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.08 - 5.08. Let p = 2 + y. Let g = 2.5 + p. What is the closest to -1 in -3\/5, -1\/3, g?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -10*h - 12. Let q be m(-7). What is the tens digit of q\/6 - (-3)\/9?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 25250107*q - 23888801?\nAnswer: 25250107","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -11.627412 to one dp.\nAnswer: -11.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - 2) + (-3 - (-4 - 7))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3913, -3914, -3915, -3916?\nAnswer: -3917","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/4 or -2\/59?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 22*t**2 + 3*t - 3. Let c be v(2). Suppose 7 = 7*h + c. Is -13 >= h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -221\/418 + 4\/19. Let a = 6267\/8 + -782. Find the common denominator of k and a.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -3*q**3 - 2*q**2 - 12*q + 3. Determine f(0).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the second derivative of -v**4\/6 - v**3\/2 - v**2\/2 + 5*v. Let a be y(-1). Suppose -3 = o - a*o - 3*h, -4 = -5*o - 4*h. Solve o = 4*z + z - 20 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 31085.32 litres to millilitres.\nAnswer: 31085320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 2\/7, 2, -99\/4?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00035877735724 rounded to 5 decimal places?\nAnswer: -0.00036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 353?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 416.11 - 416. Let i(j) = j**3 - 12*j**2 - 29*j + 10. Let s be i(14). Which is the nearest to 1? (a) o (b) s (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 5\/6, 7, 0.1, 7\/5, -1?\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that 40*v**5 - 125625*v**4 + 95482330*v**3 + 4955538195*v**2 + 55126485700*v - 180574894500 = 0.\nAnswer: -26, 21\/8, 1595","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7 + -2. Solve d*k = -2 + 17 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*u - 2*u - 2*u)*(41843*u**4 - 76300*u**4 + 38676*u**4).\nAnswer: -8438*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the first derivative of -5\/2*r**2 - 2 - 2*r. Calculate the smallest common multiple of 20 and o(-2).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 5\/6 of a hour?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28\/(-63) + 0 + (-6)\/(-27).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 44776*w**2 - 179114*w - 5. Determine b(4).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 5213, 10425, 15641, 20861?\n\"Answer: 2*g**2 + 5206*g + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-30))\/(1*(-6)\/18)\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -6\/7, -1.4, 18\/7, 1, 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 33*d**2 + 11*d + 11. Let p(c) be the first derivative of -17*c**3\/3 - 3*c**2 - 6*c - 38. Let w(v) = 11*p(v) + 6*y(v). Let z(g) = -2*g. Give z(w(l)).\nAnswer: -22*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -24777*g. Let x(w) = 912*w**2. Give j(x(u)).\nAnswer: -22596624*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:41 AM and 5:39 AM?\nAnswer: 238","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 3327720 rounded to the nearest 100000?\nAnswer: 3300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -248*i**2 - 2*i - 1. Let j(c) = -251*c**2 - 3*c - 4. Determine -2*j(g) + 3*z(g).\nAnswer: -242*g**2 + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 34*b - 2453. Give o(71).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) be the third derivative of -3*h**2 + 0*h**3 - 1\/24*h**4 + 0 + 0*h. Let d(u) = -u**2. Give w(d(x)).\nAnswer: x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 245118832?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1777\/511733 greater than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.3853 and -0.5.\nAnswer: -0.1147","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*q + 4 = -8*q. Let l be q\/8 + (-1)\/(-2). Solve -p + l*p + 4 = 0 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in seventeen quarters of a year?\nAnswer: 51","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a**(-2\/11)*a)\/a**2)\/(a*a\/((a**(-1)*a)\/a)*a*a*a)**(-1\/11))**(3\/4) assuming a is positive.\nAnswer: a**(-21\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 10d3ad - 7?\nAnswer: 10d3a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15298 is divided by 319?\nAnswer: 305","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnkznnznk. Give prob of picking 2 n.\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 4, f: 6}. Give prob of sequence aaa.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence obo when three letters picked without replacement from oobooobb.\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -50 divided by -48.\nAnswer: 25\/24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 418718633 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 6\/(-33) - (-96)\/44. Let i be (y - 0)*3\/2. Let g be 2\/i + 56\/(-12). Which is the closest to 0.2? (a) -0.2 (b) g (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2201143150 a multiple of 102?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -75*k + 97*k - 330 = 0. Let q be 36\/(-78)*5\/k. Put 1, -2\/7, q, 4 in decreasing order.\nAnswer: 4, 1, q, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l - 3*l - 24 = 0. Let i = -185.067 + 185. Let g = 0.367 + i. What is the second biggest value in l, g, 2?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 11 + 22. Let p be (-47)\/4 + 5\/(-20). Let x = 24 + p. What is the remainder when f is divided by x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.4837 and -22.\nAnswer: -21.5163","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -8\/19?\nAnswer: -8\/19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = 4*l - 28, 4*l = -2*w + 9 + 7. Calculate the highest common divisor of w and 1920.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 202 a factor of 159236?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = 3*z - 0*c + 341, z + 5*c + 95 = 0. Let d = z + 242. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -15\/11 and (4\/(-55))\/(8 - 6102\/765).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) be the third derivative of 1\/6*f**3 + 11*f**2 - 3\/8*f**4 + 0*f + 0 - 1\/60*f**5. Calculate o(-7).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -21 + 38. Let b = -12 + k. Suppose -b*c + 40 = -4*j, -3*c - 4*j + 2*j + 24 = 0. Is 4 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -2\/3 (b) 48 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 10818257, 10818264, 10818285, 10818326, 10818393, 10818492, 10818629, 10818810?\n\"Answer: h**3 + h**2 - 3*h + 10818258","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -14039 - -21867. What is the lowest common multiple of n and 14?\nAnswer: 54796","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 81 + -115. Suppose 234*p + 229*p + 15279 = 0. Which is smaller: j or p?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y and 1 o when three letters picked without replacement from nyoyonyoynnonnyny?\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t - q + 14 = 0, 0 = 18*t - 20*t + 2*q - 22 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 5*k + 11. Let f = 88 + -92. Let p(h) = 3*h + 6. Let w(i) = f*j(i) + 7*p(i). Determine w(0).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k**3 - 9*k**2 + 8*k - 9. Let m be x(8). Let r = m + 16. What are the prime factors of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -3*q**3 - 4*q**2. Suppose -5*b = -z - z - 24, z + 10 = 2*b. Let f(x) = -15*x**3 - 21*x**2. What is b*f(u) - 21*o(u)?\nAnswer: 3*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2086*v - 3592*v**2 + 2086*v.\nAnswer: -3592*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 94*c + 2*b = 89*c - 20 + 2, 3*b + 28 = -8*c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.24 + -3.24. Which is the nearest to 0.1? (a) -0.2 (b) s (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -9693, -9480, -9267?\n\"Answer: 213*l - 9906","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in -2\/13, -4\/3, 0.3, -1, -0.01, 400.63?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.42810584 to 2 dps.\nAnswer: 3.43","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3 - -133223322?\nAnswer: 133223331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -2, -6, -3 in ascending order.\nAnswer: -6, -3, -2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0 (b) 928 (c) -0.03 (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 660 minutes after 10:21 AM?\nAnswer: 9:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*t - 5*o + 11, 2*t + 5*o = 9 + 17. Suppose -3*i + 15 = 2*i. Suppose -t*r = i*r - 132. What is the remainder when 41 is divided by r?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/(n**(-2\/77)*n))\/n)\/n*n**(4\/7)\/n*n*n assuming n is positive.\nAnswer: n**(-31\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 17*o - 4. Give l(-3).\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2525, 5177, 7837, 10505, 13181?\nAnswer: 15865","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*q + 2*q + 8 - 12 + (-1 + 1 - 2)*(2*q + 5 - 5) - 2*q - 3*q + 7*q)*(-3 - 2 + 6) to the form i*q + n and give n.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + -88 - (864 + -923)?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19768832.\nAnswer: 2, 38611","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (4\/10)\/((-2)\/(-20)). Let u(a) = 275003*a - 12. Let s be u(f). Round s to the nearest 1000000.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j**2 - j + 9. Let g be i(-3). Suppose -2*x = 5*o - 100, g*o - 2*o + 223 = 5*x. What is the remainder when 173 is divided by x?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*n + 1 - 1)*(-6 + 2 + 1)*(21*n**3 - n**3 + 10*n**3) in the form k*n**4 + p*n + y*n**2 + o + w*n**3 and give k.\nAnswer: 180","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 444 minutes after 5:45 PM?\nAnswer: 1:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 61195 is divided by 1030.\nAnswer: 425","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ni when two letters picked without replacement from iirniiniiriiiirr.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -7*k + k - 93 - 3*k**2 + 91. Let a(x) = 3*x**2 + 5*x + 1. Give -4*a(b) - 3*m(b).\nAnswer: -3*b**2 - 2*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 3 b when four letters picked without replacement from {b: 15, q: 5}?\nAnswer: 455\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 6, 11, 14, 15, 14?\n\"Answer: -v**2 + 8*v - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = -3*d. Suppose 6*l - 10*l + 104 = d. What is the remainder when 49 is divided by l?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 o when two letters picked without replacement from {a: 1, y: 4, j: 2, o: 2, x: 5}?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 8.04993 to the nearest integer.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, 8, -4\/23, -3 in increasing order.\nAnswer: -3, -4\/23, 0.5, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i**2. Let v(j) be the second derivative of 0*j**3 + 0 + 0*j**2 + 6*j - 1\/4*j**4. What is v(g(l))?\nAnswer: -3*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = u**3 + u**2 + 1. Let y(b) be the second derivative of -b**5\/5 - b**4\/4 - 5*b**2\/2 - 5*b. Let s(l) = -5*g(l) - y(l). Factor s(c).\nAnswer: -c**2*(c + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 123131021 (base 4) to base 6\nAnswer: 2224345","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that -2*q**5 + 16*q**4 - 48*q**3 + 64*q**2 - 32*q = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8 + -5. Solve -2*b + 5 = -d*b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xxx when three letters picked without replacement from vvvxvvvvxxvxxxxvxx?\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -677*m**2*o**2 - 2*m*o + 1007*o**2 wrt m?\nAnswer: -1354*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 d when three letters picked without replacement from {e: 1, d: 3}.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 47593261873 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 33 and 33?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) be the first derivative of -f**5\/5 - 5*f**4\/24 - 2*f**3\/3 - 1. Let u(j) be the third derivative of x(j). Is u(-4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 39126374\/3 or 13042126?\nAnswer: 39126374\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*r + 4*h + 3 - 6, -10 = -5*h for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*o**4 - 2*o**4 - 3*o**4)*(5*o - 4*o - 4*o).\nAnswer: 15*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - (2 - 3 - 2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -410 - -699. Let l = 488 - x. What is the remainder when l is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 15033.4, 4, 13\/5 in descending order.\nAnswer: 15033.4, 4, 13\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Are 2 and -51 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 2*i**3 - 45*i**2 + 12*i - 10. What is the hundreds digit of f(23)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -v + 7. Let t be r(5). Let f = 0 + t. Let j(u) = -3*u**2 + u**2 - 2*u**f + u**2. Let b(m) = -m**2. What is b(j(d))?\nAnswer: -9*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, l: 5, v: 2, j: 3, a: 8}. What is prob of sequence ja?\nAnswer: 4\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*r + 5*r + 2044 = 0. What are the prime factors of r?\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-22)\/(-4)*12\/(-42) - -1. Suppose -30*l = -29*l. Put l, 2\/5, s in descending order.\nAnswer: 2\/5, l, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(121) + sqrt(121)*-6)*-5)\/sqrt(11) - ((sqrt(77) + 3*sqrt(77))\/sqrt(7) + -5).\nAnswer: 5 + 21*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 133 divide 382548?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 945577 to the nearest integer?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 366399.9cm in kilometers?\nAnswer: 3.663999","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3 + (-2 - 1 - -2). Suppose -b*z + y = 3*y - 28, 5*y = 2*z - 7. Let p be z\/(11\/6 + (-3)\/9). Which is greater: p or 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -79c1 + -47a?\nAnswer: -805b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*f + 461*f = 1820 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2140 - -8801. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1459153 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -224 = 3*t - 53. Let b(q) = q**2 + q - 104. Let d be b(0). Let z = d - t. Calculate the common denominator of z and -63\/2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -31? (a) -2\/65 (b) 0 (c) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 1, s: 1, u: 2, e: 1, n: 3, j: 8}. What is prob of sequence jvuu?\nAnswer: 1\/2730","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 3 = 13. Let v = -251 - -250. Put v, 4, l in descending order.\nAnswer: l, 4, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -291110.3 rounded to the nearest one hundred?\nAnswer: -291100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 459 + -294. What is the units digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -3*k + 10. Find u such that -2*u + k*u**2 + 6*u + 3*u**3 - u**3 = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 6\/5, -0.1, 6, -3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -79485481.6515 - -0.15\nAnswer: -79485481.5015","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 76.13269 centuries in millennia?\nAnswer: 7.613269","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 1\/20 of a tonne?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 155 + -2018\/13. Which is the second smallest value? (a) q (b) 0 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (120 - 28 + 112 + 88)*(8 - 8 - 9*b) to f*b + x and give f.\nAnswer: -2628","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3) - sqrt(9)\/(sqrt(6)\/sqrt(2))) + (sqrt(27) - sqrt(54)\/sqrt(2))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/42)\/((-1)\/(-4)).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k = -7*b + 50, 334*b = 337*b - 2*k - 9 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(2448) + 0 + sqrt(2448) + 1 + sqrt(68).\nAnswer: 1 + 26*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-6)\/4 + (-95)\/(-70). Let o = 7 - -8. Let y = o + -17. Which is the second biggest value? (a) z (b) y (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10 - -2112211221?\nAnswer: 2112211211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in t + 3*t - 4 - 20 - 4.\nAnswer: 4*t - 28","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = o. Let g be z(6). Suppose 9*y = 4*y + 20. Suppose -4*r = 2*f - 40, g*f - 34 = y*f - r. Does 16 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -m. Let j(q) = -q - 7. Let d(b) = -j(b) + 2*v(b). Let f = -2 + 7. Determine d(f).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1081, 4, -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 6*j - 3. Let i be z(5). What is the tens digit of (i - 0)*1 - -3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4857823662?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 - 1)*(-3 + 0 + 5)*(-3251*l + 2662*l - 8680*l)*(4*l - 2*l + 0*l).\nAnswer: 74152*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((32 - 33)\/((-2)\/(-32)))\/(-3 + (7 - 2))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (4\/20)\/(19\/(-19))\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(-23)\/z*z**(-17) assuming z is positive.\nAnswer: z**(-41)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4034020 - 443011?\nAnswer: 3041004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 101 - 159. Let q = p + 98. Does 5 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -h**3 - h**2 + 3*h - 18. Let t(z) = -z**3 + z + 1. Let p(f) = 2*t(f) - u(f). Calculate the remainder when p(0) is divided by 2800\/(-240)*3\/(-5).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 5*d - 18. Does 22 divide n(12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.2 and -0.59706?\nAnswer: 0.79706","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 10*b + 2. Let r(j) = 8*j + 2. Calculate 4*r(p) - 3*u(p).\nAnswer: 2*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -a**3 + 28*a**3 - 7*a**3 + (2*a - 2*a + a)*(-2*a**2 - 2 + 2) as s*a**3 + w*a**2 + q + j*a and give s.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18 - (7 + (-8 - -6)) - 3?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*x + 3*x + 2576. Is x a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 - 38 = 3*u. Let n be 42\/(-8) + (-5)\/u. Let v be 2\/6 - 5\/(-3). Which is the third biggest value? (a) n (b) v (c) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = 3*m + 2*m - 35, 4*m + 5*b + 8 = 0. Suppose -3*t = -0 - m. Let c be (((-8)\/10)\/4)\/t. Sort 3\/8, c, -2.\nAnswer: -2, c, 3\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 423 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 109\/1112958 and 5\/910602.\nAnswer: 10016622","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -967610 - 14*n + 967610.\nAnswer: -14*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -3*z**3 + 14*z**2 + 10*z - 31. Let p(x) = x**3 + x + 1. Let c(h) = -2*p(h) - q(h). What is the units digit of c(16)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2333*q - 115*q**2 + 2333*q + 115*q**2 + 398*q**3.\nAnswer: 398*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1777 is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -22309 + 23130. Calculate the remainder when c is divided by 283.\nAnswer: 255","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 17 + -22. What is the smallest value in 0, a, 1?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -266 = 3*h - 2*f + 674, 4 = -4*f. Is 4 - 3 - (h - 2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1079?\nAnswer: 13, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1019 + -40987?\nAnswer: -42006","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.1 > -0.89406?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/(-6) - 45004\/(-30). Let c = 1505 - p. Factor 18\/5*b**5 - 4\/5*b**2 + c*b**3 - 48\/5*b**4 + 0*b + 0.\nAnswer: 2*b**2*(b - 2)*(3*b - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r, 2 a, and 1 x when four letters picked without replacement from {x: 6, r: 5, k: 3, a: 2, t: 1}?\nAnswer: 3\/238","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 403430 to the power of 1\/2, to the nearest integer?\nAnswer: 635","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37 - 19 = -4*a. Let k(o) = o**2 - 14*o + 2. Let h be k(a). What is the second biggest value in 0, -4, h?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -z**3 - 10*z**2 - 5*z - 10. Let n = 19 - 29. What is the remainder when r(n) is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -659738*q**3 - 36845*q**2 - 1?\nAnswer: -3958428","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1171148*s**3 + 667306*s.\nAnswer: -7026888*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 45194705?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + 3*(-3 + (sqrt(5103) - -2*sqrt(5103))*-6).\nAnswer: -1458*sqrt(7) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 265185?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -u**3 + 9*u**2 - 8*u + 18. Let l be c(8). Solve 16 = -4*v + 2*y, v - 2*v = -4*y + l for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 71 - 45. Suppose 26 - b = s. Solve 2*a = -s*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m + 26 = 7*q, -3*m = -50*q + 49*q + 10 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = -5*f + 105. Suppose -7 = -3*w + y, -5*w - 3*y = -0*y - f. Calculate the smallest common multiple of w and (-156)\/(-7) + 4\/(-14).\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4)\/6*3\/1. Let d(i) = 3*i**2 + 2*i. What is the least common multiple of d(m) and 22?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 447 - 390. Sort 3, 1, v in ascending order.\nAnswer: 1, 3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 574915, 574933, 574951, 574969?\n\"Answer: 18*x + 574897","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9097272?\nAnswer: 2, 3, 101, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:13 AM and 9:56 AM?\nAnswer: 463","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*s + 953 = -6089. Is s a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*s - 5*s = 0. Suppose -2*y + 8 = -s. What is the common denominator of -1\/10 and (-57)\/y - (2 - 0)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eeejjjjjw. Give prob of picking 1 w and 1 j.\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that 2*t**2\/7 - 9714*t\/7 + 87264\/7 = 0.\nAnswer: 9, 4848","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 17, k: 2}. Give prob of picking 2 e.\nAnswer: 136\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(2)*5)**2 + sqrt(288)*2.\nAnswer: 24*sqrt(2) + 52","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 830832 and 36?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.0235434 rounded to zero decimal places?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.35 + -0.05. Let x be (4 - 5 - 1)\/10. Which is the closest to 0.1? (a) 3 (b) x (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 431 is divided by 144.\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 0 + 5 - 4 + 6*m + 9*m. What is the lowest common multiple of f(1) and 2?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -14, -11, -10, -11, -14?\n\"Answer: -x**2 + 6*x - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = -2*n + 14, -2 - 12 = -2*n - 2*k. Let q be (-6)\/21 + 163\/n. Solve 4*f = -4*w + 55 - q, -5*w = -5*f for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -18788817 divided by 4\nAnswer: -18788817\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 47 - 1457*k + 12209*k - 49 in the form m + p*k and give p.\nAnswer: 10752","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22045 - 14002 = -3*k - 4*l, 2*l = k - 12039. What are the prime factors of k?\nAnswer: 5, 13, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3027449158 rounded to four decimal places?\nAnswer: 0.3027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -o**3 - 3*o**2 + 2*o + 4. Let l be a(-3). Is ((-9)\/18)\/(l\/92) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 3*j - 10. Let i be w(5). Suppose 4*t + 7 = -5*o, -i*t + 3 = 4*o + 5. Which is the third smallest value? (a) -18 (b) -0.4 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-2)\/3)\/(160\/(-48))*(-10 - -25). Let d(p) = 4 - 3*p**2 + 3*p**2 + 2*p - p**2. Give d(r).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + 2 + 2 + -2 + -2?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kk when two letters picked without replacement from {h: 2, k: 5}.\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16 + 2159*m**2 - 8198*m**2 - 2.\nAnswer: -6039*m**2 + 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -7? (a) 0.1 (b) 2\/11 (c) 0.01\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r**3 + 2*r**2 - 2*r - 1. Suppose 5*p + 6 = -4. Let w be x(p). Let t(b) = w - 3 - 4*b - 2 + 6*b. Determine t(3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y**3\/4 - 1385*y**2 - 60577*y - 665016 = 0.\nAnswer: -5496, -22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -26942, -28129, -29316?\nAnswer: -30503","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -30 and -226479?\nAnswer: 6794370","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 19 + 4*d**2 + 0*d**2 + 5*d - 24 + 2*d**2 - d**3. Let g be k(5). What is the greatest common divisor of 18 and g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.5 (b) -2785 (c) -0.4 (d) -2\/3 (e) -0.3 (f) 5 (g) 0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 600 - 296 - 3*s + 0*s - 304. Let y(z) = 85*z**2 + 33*z - 11. Let l(t) = -28*t**2 - 12*t + 4. Let p(h) = 11*l(h) + 4*y(h). Give b(p(x)).\nAnswer: -96*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*d - 2*d - d)*(-12 - 18*d**4 + 5*d**4 + 12*d**4).\nAnswer: 3*d**5 + 36*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -61\/112 and (97 - -14)\/((-44)\/1)?\nAnswer: 1232","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 7 - 412*z - 5.\nAnswer: -412*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/(m*(m\/((m*m**(-23))\/m)*m)\/m))\/((m\/(m*m\/m**(-7)))\/m))\/((m**(11\/2)\/m)\/(m*m**(-1\/7))) assuming m is positive.\nAnswer: m**(-261\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.012466um in meters?\nAnswer: 0.000003012466","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 times -40?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -9*x - 120. Let a be d(-16). Calculate the highest common factor of 600 and a.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -400*i + 325*i = -600 for i.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (0 + -2)*(-135)\/10. Let h = w + -15. Calculate the greatest common divisor of h and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 10 and 2456.\nAnswer: 12280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 5, 277, -0.23, -2, -0.5?\nAnswer: -0.23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(78)*2*2)\/(2*sqrt(600)).\nAnswer: sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2 (b) 5 (c) -0.5 (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*j + 112 = -4*j. Is 2 + j*167\/1 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0 (b) 105 (c) -0.3 (d) -0.064 (e) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kkwk when four letters picked without replacement from kwkkwwwwkwkkkwkkwww?\nAnswer: 35\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -2*u**2 + 16*u + 244. Determine z(14).\nAnswer: 76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.7620166 to 4 decimal places.\nAnswer: -1.762","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 253*r**3 - 147*r**2 wrt r.\nAnswer: 1518","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 5}. What is prob of sequence ssss?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1122 is divided by 769.\nAnswer: 353","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-20)\/(-2)*119\/119. Solve -r*a + 51 = 1 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) be the third derivative of 3*p**4\/4 - p**3\/2 - p**2. Suppose 4*l = 6*f - f - 7, -4*f - 2*l = -16. What is the remainder when g(f) is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*v**2 + 31 - 16 - 2*v**2 + 21 + 4*v**3 + 5.\nAnswer: 4*v**3 + v**2 + 41","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 1345?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*y - 12, 3*m = -2*y + 5 + 9. What is the third derivative of 2*x**5 - x**m - 4*x**5 + 10*x**5 + 3*x**5 wrt x?\nAnswer: 660*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.226 and -68.\nAnswer: -15.368","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -791*a - 781*a + 2360*a - 789*a.\nAnswer: -a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -46249896 divided by -42\nAnswer: 1101188","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 32 = -0*m. Let f be (1\/(-2))\/(1\/m). Let w(t) = f*t**2 + 2 - 9*t**2 + 2 - 5*t. What is w(-5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -6472.6 to the nearest ten.\nAnswer: -6470","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 361 + 244. Differentiate -201 + i - 203 + 69*v**2 - 211 with respect to v.\nAnswer: 138*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = p**2 - 15*p + 39. Let r(u) = -u**2 - 13*u - 10. Let v be r(-11). Let x be s(v). What is the second derivative of w + 10*w**2 + w - x*w + 36*w wrt w?\nAnswer: 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 202 is divided by 24.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ohooxxssxhsshh. Give prob of sequence xo.\nAnswer: 9\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 783 + 5?\nAnswer: 788","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*g - 36 = -g. Solve 3*j + g*v = -24, j - 2*v - 9 = -2 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2899, -5798, -8697, -11596, -14495?\nAnswer: -17394","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/(-10))\/((-64)\/(-40))?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the first derivative of 3*w**2 + 11*w - 97. Let l(n) = 4*n + 7. Determine 5*b(i) - 8*l(i).\nAnswer: -2*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -1ba70 (base 12) to base 9\nAnswer: -62543","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 26732*p**6 - 15*p**2 - p - 78 wrt p?\nAnswer: 3207840*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-8 - -11) + 4 - 3. Let o(r) be the third derivative of 0 + 0*r**3 + 1\/6*r**d + 0*r - 3*r**2. Let n(v) = -2*v. What is n(o(g))?\nAnswer: -8*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 22\/797777 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -118.39 rounded to zero dps?\nAnswer: -118","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3363 + 72*p - 2*p - 72*p to f + z*p and give f.\nAnswer: -3363","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -5 (b) -2\/7 (c) -2\/11 (d) 162.4 (e) 4 (f) 5 (g) -3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -81*c**2*n*o - 5*c**2*o - 30*c*o - 101312*n*o wrt c.\nAnswer: -162*c*n*o - 10*c*o - 30*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1955 is divided by 22?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o and 1 g when three letters picked without replacement from {g: 3, x: 6, s: 2, j: 2, o: 5}.\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + k = -6, -5*b + 0*b = 2*k - 18. Suppose -b*c - 5*o = -20, c + 4*c = -5*o + 20. Suppose 2*z + 14 = 3*u, 3*u - z = -2*u + 21. Sort u, c, -4.\nAnswer: -4, c, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -14010412 + 10?\nAnswer: -14010402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -71*s = -23 + 378 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -51 + 39. What is the smallest common multiple of 22\/6 + (-4)\/b and 2?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -8 - (-13)\/(91\/112). Calculate the highest common divisor of 2 and q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v**2 - 3*v + 2. Let p be ((-6)\/4)\/(4\/8). Let c be m(p). What is the units digit of (-3)\/6*(-8)\/c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-8)\/3)\/2)\/(4\/12)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/(-15)*12\/(24\/(-6))*-5.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2*(-5)\/(-2) - (8 + -94). Suppose -2*o - 6 = -5*o. Suppose 4 = j - 3*w, 4*j + o*w - f = -w. Solve 3*d = -3*g + 9, -j = -3*d + 5*g - 10*g for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -71938, -76327, -80718, -85111?\n\"Answer: -r**2 - 4386*r - 67551","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 135837 - 1?\nAnswer: 135836","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -663, -5257, -17733, -42033, -82099, -141873, -225297, -336313?\nAnswer: -478863","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 13 - 13. What is the units digit of ((-423)\/(-4) - w) + 4\/16?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (24 - -53) + -267 + 271.\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 11*g - 148. Calculate z(14).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-one halves of a litre in millilitres?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -903808, -903400, -902994, -902590, -902188?\n\"Answer: -t**2 + 411*t - 904218","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 7\/216?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -5 + -1 + 4 - -4\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 3*s + 30 = 0, -3*z + 0*s - s + 18 = 0. Let k = z - 7. Suppose k*u - u = -22. Solve 2*q - 4*c + u = q, c = q + 7 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l, 2 t, and 1 f when four letters picked without replacement from tgfltft.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -29*r - 5*r - 5*r to the form w*r + a and give w.\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 37109 is divided by 25893.\nAnswer: 11216","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1062 by 531.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/21 (b) 319 (c) -616 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 10741 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 100*x**3\/3 + 8180*x**2\/3 + 20832*x - 1608768.\nAnswer: 4*(x - 19)*(5*x + 252)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 4277786479 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -g**3 - 8*g**2 + 3*g + 9. Give z(-8).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 168, 172, 180, 192, 208, 228?\n\"Answer: 2*j**2 - 2*j + 168","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 108 + -38. Let m = 70.31 - c. What is the third smallest value in m, -4, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 88374 to the power of 1\/3, to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = t + 20. Let a(j) = -19. Let i(r) = 4*a(r) + 5*z(r). Let c be i(-4). Solve 0 = 3*l + 7 - c for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rrkkrffrekrkmrkkeife. Give prob of sequence iek.\nAnswer: 1\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 950230 is divided by 144.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 59, 82, 119, 170, 235, 314?\n\"Answer: 7*b**2 + 2*b + 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -6*v. Let w be q(-1). Let y(p) = -p - 3. Let d be y(-5). What is the highest common factor of w and d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s\/(s\/s**(-5))*s**(-30) assuming s is positive.\nAnswer: s**(-35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 2594350965?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the second derivative of -7*f**4\/12 + 3*f. Let y(c) = -113*c**2 + 218*c**2 - 109*c**2. Calculate y(q(w)).\nAnswer: -196*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*(l*l*l*l*(l\/l**4*l)\/l*l)\/l*l*l**(-33)*l)**(-2) assuming l is positive.\nAnswer: l**58","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*sqrt(704)*-1*-1 - (4 + ((sqrt(176)\/sqrt(4))\/sqrt(4) - sqrt(11)))*-3.\nAnswer: 12 + 40*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22b9 (base 13) to base 8.\nAnswer: 11424","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2554 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7782 + -7780. Let -2\/5*o**3 - 6\/5*o - 6\/5*o**m - 2\/5 = 0. What is o?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11424 divided by -8.\nAnswer: 1428","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3185 - 3189. Let d(q) = 21*q**2 - 3*q + 3. Let c(t) = 21*t**2 - 4*t + 4. What is p*d(j) + 3*c(j)?\nAnswer: -21*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the first derivative of 0*o**2 + 0*o + 1\/3*o**3 - 10. Let y(c) = 3*c**2. Calculate i(y(r)).\nAnswer: 9*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 + 39 = 3*l. Let s be (l\/(-48))\/(2\/24). Let n = -0.632 - -3.632. What is the fourth smallest value in n, -3, 5, s?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*g + 4*g - 3*g)*(2*g - 3*g + 3*g) + 2 + 2*g**2 - 2 - 3*g**2 + 4 - 4 - 465*g - 73219 + 73219 + g**2.\nAnswer: -4*g**2 - 465*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 969 divide 2023272?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 + (-56)\/(-196)*7 + 441\/(-88) + -5.\nAnswer: -1\/88","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 1 - 3*i**2)*(253*i + 4417 - 464*i + 210*i) to the form j*i + r*i**3 + a*i**2 + d and give r.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) be the second derivative of 0 - 1\/40*i**6 + 11*i - 1\/4*i**3 - 3\/20*i**5 + 0*i**2 - 5\/16*i**4. Factor j(w).\nAnswer: -3*w*(w + 1)**2*(w + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6*r + 867 - 777 for r.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:48 PM and 8:35 AM?\nAnswer: 707","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*k**3 + k**3 + 0*k**3)*(243*k - 8134 + 8134) to r + j*k + y*k**4 + i*k**2 + b*k**3 and give y.\nAnswer: -486","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 29 + -8814?\nAnswer: -87a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 9, 104, 11, 2, 51, -4 in descending order.\nAnswer: 104, 51, 11, 9, 2, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -302616535*q**2 - 76448571 wrt q?\nAnswer: -605233070*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) be the second derivative of -1\/10*k**5 + 4\/3*k**4 + 1\/3*k**3 - 8*k**2 - 2*k + 0. Factor a(n).\nAnswer: -2*(n - 8)*(n - 1)*(n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47 = -l + x + 12, 5*l = x + 311. Let n be 4\/6*l\/14 + 5. Solve -j - j + n = 0 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*o**2 + 4 - 4)*(114 - 42 - 28).\nAnswer: 264*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -33, 118, -5, -16 in increasing order.\nAnswer: -33, -16, -5, -2, 118","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1529050 to the nearest integer?\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in -10, 75, -2\/23?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 79 divided by -3.\nAnswer: -79\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(72)\/((2*sqrt(45))\/sqrt(5) + sqrt(9)))\/(4*sqrt(484)*-4) + -1.\nAnswer: -1 - sqrt(2)\/528","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(80) + 1 + -2)**2.\nAnswer: -8*sqrt(5) + 81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1563, 4245, 8043, 12957, 18987?\nAnswer: 26133","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve u + 25 = -5*c, -u + 5*c - 77 + 112 = 0 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 217194450 to the nearest integer?\nAnswer: 601","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1213 is divided by 861?\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 42 = -82. Let k = 153\/5 - s. Let o be ((-8)\/5)\/(-2*1). Sort o, -0.5, k in decreasing order.\nAnswer: o, k, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1884 a factor of 2117495419?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = z - 2. Let n(l) = l - l**z + 5*l**2 + 59 + 14*l**2 - 8 - 20*l**2. Does 13 divide n(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -28\/4626691 or 0?\nAnswer: -28\/4626691","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -12.67 - 0.33. Let w = -2 - 14. Let u = o - w. Put -0.5, u, 4 in increasing order.\nAnswer: -0.5, u, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (7\/(-6))\/(217\/(-93))\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-40)\/(-30))\/((-2)\/(-183)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 163210482?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ybcvk. Give prob of sequence kbv.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) be the second derivative of -13*f**4\/12 + 2*f. Let p(r) be the second derivative of r**3\/3 - 66*r - 1. What is o(p(s))?\nAnswer: -52*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - q)*(5*q**4 - q**4 - 3*q**4) + (5*q**2 - 2*q**3 - 5*q**2)*(7*q**2 - 7*q**2 - 24*q**2) + 6*q**5 - 2*q**5 - q**5.\nAnswer: 50*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -r**3 - 5*r**2 + 7*r + 15. Let h(c) = -c**2 - 4*c - 6. Let z be h(-4). Let i be s(z). Solve 0*o + o + 7 = -2*u, -4*u - o = i for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-10)\/(-14) + 4\/14. Suppose -3*f - d = -7, 4*f - 3*f + b = -2*d. Let n be (3 - f)\/(-1 - -2). Solve 3*g + 8 - 2 = n for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 96?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 6*(-2)\/9*105\/(-28)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3873156 and 56.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (13*-5)\/((-45)\/(-27) + -2). Let b = -192 + q. Solve z = -z - m - b, m = -1 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 930.5721ug in nanograms?\nAnswer: 930572.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -31\/63 and (0 + 20\/162)\/((-400)\/1950)?\nAnswer: 756","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6033 is divided by 2479.\nAnswer: 1075","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4464047\/955854 - -1303\/279. Let i = 228688\/77085 - g. What is the common denominator of -34\/69 and i?\nAnswer: 690","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17828875460 rounded to the nearest one million?\nAnswer: 17829000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12093 is divided by 3020?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = i + 5. Let d be y(-3). Let t be (-20)\/(-6)*(-14 - 19*76\/(-95)). Solve 0 = -4*q - 4*c, d*q + t*c = 3*q - 10 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is q in -2*q**2\/5 - 791372*q\/5 + 791374\/5 = 0?\nAnswer: -395687, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x - 22 = -2*f, x - 32853*f + 10 = -32851*f for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 13\/80568?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 104, -0.2 in increasing order.\nAnswer: -0.2, 4, 104","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -343*o**2 + 667*o + 182*o**2 + 169*o**2 - 670*o.\nAnswer: 8*o**2 - 3*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -89*j + 4*k = -88*j - 5669, 0 = 2*j - 3*k - 11313. What is the tens digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) be the first derivative of l**4 - l - 13. What is the first derivative of v(p) wrt p?\nAnswer: 12*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in -18, 102, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.05901 - 2.05901. Let m = -22 - -21.95. Let f = m - -0.06. Sort f, -4, v in ascending order.\nAnswer: -4, v, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3011 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -52\/207 and 23\/63.\nAnswer: 1449","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -j**3 - j**2 + j - 2. Let d be c(-2). Suppose 2*s - y = 65, 2*y - 5*y + 3 = d. What is the units digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2421637 divided by -4.\nAnswer: 2421637\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*f**2 - 984320*f - 3937200.\nAnswer: -5*(f + 4)*(f + 196860)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in -2\/17, 0.3, -106, 7\/27?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:02 PM and 3:23 PM?\nAnswer: 141","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3334, -3453, -3570, -3685?\nAnswer: -3798","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t - 28 = -4*t - 4*v, -4*t + 2*v = -52. Solve 20 = 4*o, -4*j + t = 3*o - 0*o for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*s - s + 192 = 0. Let b be -7 - -4 - (-3 + s). Which is smaller: b or -74\/5?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -t**2 + 8*t - 4. Suppose 0 = 3*x + 4*o - 69 - 14, -2*o + 31 = x. Suppose x = 4*d - d. Let q be k(d). Solve -q*s = -s + 10 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1514? (a) -2 (b) -5 (c) 2\/3 (d) -0.03\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 437 is divided by 160?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1317.\nAnswer: 3, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of -40*(-5 + 3)*3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve h = -2*a - 1, -a + 5*h = -0 + 28 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.49910791 rounded to 3 dps?\nAnswer: -0.499","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-28)\/(-36) - (-8)\/36. Suppose 0 = -u + 3 - y. Suppose -u*r = -4*h - 26, h + 2 = -3*r + 6. Solve 5*c - 12 = -4*o + 10, r*o + 1 = 5*c for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1745 (base 10) to base 12.\nAnswer: -1015","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 85885.5877 to zero dps.\nAnswer: 85886","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.5, 0, -8, -10?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -8, -4, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*d + 1794 = 67*d - 6*d for d.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 36.16 rounded to zero dps?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 934809240 to the power of 1\/3, to the nearest integer?\nAnswer: 978","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hohh when four letters picked without replacement from hooohoooooohhoooohoo.\nAnswer: 5\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - (-1 + 6 + -2 + -3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 2*x - 8 = 0, 3*q - 6 = -q - 5*x. Suppose -q*t = 9 - 25. What is the lowest common multiple of t and 3?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + x - 2)*(-2 - 3 - 3)*(-3*x + x + 4*x) to z*x**2 + o + t*x and give z.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-12)\/18*(-2 - (3 - -109))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 15*p**2 - p. Let k be t(-1). Suppose -k = 2*x + 40. Is x\/(-6) + (-6)\/(-18) a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -2*n**3 + n**2. Let q(a) = 2*a**2 + a + 13. Let y(s) = s**2 + 12. Let i(c) = -q(c) + y(c). Let k = 7 + -6. Give k*i(u) + x(u).\nAnswer: -2*u**3 - u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 7*t + 49. Let o be r(8). Suppose 33*h + o = 2118. Calculate the remainder when h is divided by (-18)\/(-3)*22\/6.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -421.8 - -422. Let b = 0.3 + -0.2. What is the nearest to u in 5, b, 1\/3?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 2*h**3 - 2*h - 2. Let c(y) = -42*y**3 + 266*y**2 + 570*y + 306. Let g(r) = 2*c(r) + 44*x(r). Factor g(b).\nAnswer: 4*(b + 1)**2*(b + 131)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21661 = -3*s + a, 5*a - 26470 = 3*s - 4805. Round s to the nearest one hundred.\nAnswer: -7200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 861 + -861.1. What is the smallest value in -5, -3, w, 1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4686578, -4686580, -4686582?\nAnswer: -4686584","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 319927.2 hours to milliseconds.\nAnswer: 1151737920000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*((m\/(m\/m**(-5\/2)*m))\/m)\/m*m)**7 assuming m is positive.\nAnswer: m**(-49\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the second derivative of n**6\/10 - 13*n**4\/4 + 22*n**2 - 84*n. Find the first derivative of j(a) wrt a.\nAnswer: 12*a**3 - 78*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*u + 2 - 14. Suppose -u*v + 330 = -v. Suppose 6*o - v = 3*o. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 5, -1\/4, -3, -23875?\nAnswer: -23875","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(-2\/9)*h**(4\/7)*h\/(((h\/h**(-4\/3))\/h)\/h)*h\/(h*h*h*h\/(h\/(h**(-1\/3)\/h))*h) assuming h is positive.\nAnswer: h**(-41\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 194*c**2 + 286*c + 43. Is r(26) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is a347 - -1?\nAnswer: a348","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) 0 (b) 841 (c) 3274 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 207*r - 106. What are the prime factors of m(4)?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -88*z + 109*z + 147 for z.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -17*x + 1857252 + 2484769. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1398.\nAnswer: 2, 3, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-273*w**5 + 266*w**5 + 187*w**5)*(0 - 2 + 3).\nAnswer: 180*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1\/(-3)*(-72)\/6. Solve -3*g - p = b, 5*p = 2*g - 0*g - 3 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 23 - 20.7. Let n = -0.1 - -0.8. Let z = g + n. What is the third biggest value in 1, 1\/10, z?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in three tenths of a milligram?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.2, -55, 5?\nAnswer: -55","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*((i\/((i\/(i*i\/i**(1\/8))*i)\/i))\/i)\/i*i*(i*((i**(1\/4)*i)\/i)\/i)\/i)\/(i**(4\/11)*i**(-1\/3)) assuming i is positive.\nAnswer: i**(289\/264)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 113 divided by -4?\nAnswer: -113\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*r + 17*r + 5*r - 9*r + 2*r.\nAnswer: 29*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mtzzzzzzzmzzzzmzz. What is prob of sequence tz?\nAnswer: 13\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 59 = 2*p. What is the tens digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3)\/(1 + (-34)\/28). Let n be 390\/91 + (-4)\/z. Let 8*s**2 - s**3 - 4 - 2*s**3 + 3*s**3 - n*s**4 = 0. What is s?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -1998 + -3 + (2 - (-4 + 5)). What is c rounded to the nearest 100000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 209304 and 2736?\nAnswer: 418608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*a - 2*z + 14, 5*a - 3*z = z + 37 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40 = -4*v - 2*n, -4970*v + 4 = -4968*v - 3*n for v.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 217*h + 252*h - 302*h + 9185 for h.\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 678 minutes before 9:11 AM?\nAnswer: 9:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l**(-6\/11)\/l*l)**(12\/5)*l**22\/(l*l**(-1)) assuming l is positive.\nAnswer: l**(254\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) be the second derivative of a**6\/20 + a**5\/40 - 11*a**4\/12 - 11*a. Let i(x) be the third derivative of z(x). What is the tens digit of i(2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4960347 divided by -3.\nAnswer: -1653449","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 15*u - 6. Let b(v) = 7*v - 3. Calculate -13*b(x) + 6*q(x).\nAnswer: -x + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4741\/6348 + 5\/1587. What is the closest to 4\/5 in a, 0, -61?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 2*m**2 - 3*m. Let f be t(2). Suppose -5*k + 6*u + 358 = 2*u, -f*u - 4 = 0. Suppose k = 5*o + s - 4*s, 0 = -5*s. What are the prime factors of o?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -7*((3 - 5) + 0). Calculate the highest common factor of t and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*a - 652*a**2 + 7*a**3 - 5 + 1310*a**2 - 658*a**2 to v*a**2 + y*a**3 + f*a + g and give g.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve p + 3*p - 4 = 4*m, 5*m = 3*p + 3 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8916 - -34511. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 13430160 and 43794.\nAnswer: 40290480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:33 AM and 4:39 AM?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 18118147*d**5 - 365*d - 44503.\nAnswer: 362362940*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3b3e43 (base 15) to base 10.\nAnswer: 2848338","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -n**2 - 6*n - 1. Suppose 2*k + 26 = -2*k + 2*i, -5*k - 2*i = 19. Does 3 divide q(k)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q**3 + 2*q**2 - q - 1. Let y(g) be the second derivative of g**5\/20 - 5*g**4\/4 + g**3\/6 - 13*g**2\/2 + 9*g. Let w be y(15). Determine n(w).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 70340693?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bz when two letters picked without replacement from ttbtytzybzbfbtty?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-2)\/4)\/(2\/36). Suppose 9 = g - 16. Suppose g*z - 26*z = 3. Put 4, d, z in ascending order.\nAnswer: d, z, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 276603?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 279001?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 634 minutes after 2:34 PM?\nAnswer: 1:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 87 + -85. What is the second biggest value in -0.3, -0.1, l?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -8 at least as big as -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -u**2 - 11*u + 6. Let x = 3 + -11. Is t(x) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 86.8476 + 20.154. Let g = 275 + -168. Let w = g - j. What is w rounded to 3 decimal places?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 90 = -h, -h + 6*h + 255 = 5*k. Let l(u) = -3*u - 3. Let j be l(-3). Let v(q) = 2*q. What is the remainder when k is divided by v(j)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1396932 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(4 + (2*(0 + 6*2*sqrt(847) + -2))**2).\nAnswer: -1951568 + 8448*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -n**4 + 0*n**4 + 2*n**4 + (-n + n + 2*n**2)*(-19*n + 12*n - 7 + 9*n)*(0*n + n + 0*n).\nAnswer: 5*n**4 - 14*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 161 is divided by 155?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 70637 and 11396?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y**3 + 15*y**2 + 4*y - 19. Is r(14) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/30*((-10)\/4)\/5?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1\/2 + 3\/4. Let x = 18 - 35\/2. Which is smaller: x or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - (9 + -4)) + 4.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 60 - 70. Let v(d) = -d**3 - 9*d**2 + 2*d - 33. Calculate the remainder when v(i) is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1010011001000 - -10001?\nAnswer: -1010010110111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (66 - 2) + -867 + 862?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -1652382, -3304765, -4957148?\n\"Answer: -1652383*c + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 46 a factor of 3725394?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of 10816 and -24415.\nAnswer: -264072640","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8\/11*k + 10\/11 - 2\/11*k**2 = 0. Calculate k.\nAnswer: -5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 34336150 and 15.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -3*f - 1. Let z be o(-1). Let s be 2 + (z - 2)\/1. Suppose -9 = -s*l + l. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 3372*u - 3367*u - 282)*(0*u**4 + u**4 - 12*u**3 + 0*u**4).\nAnswer: 5*u**5 - 341*u**4 + 3372*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1\/(-2 + (-39)\/(-18)). Suppose 0 = -g*h + 3*h. Solve h = 5*c - 5 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 4*u + 3 = -0*u, -5*z = -4*u - 33. Let g(i) = z - 4*i**2 - 2 - i**3 + 4 + 13*i. Let r be g(-6). Solve -5*l = -0*l + r, 2*j + 3*l = -7 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -150*s - 1497 - 17*s - 2*s**3 + 20*s**2 + 1497 wrt s?\nAnswer: -12*s + 40","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aoobazzbkkoabos. Give prob of sequence zbb.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**3\/8 + 93*a**2\/4 + 91*a.\nAnswer: a*(a + 4)*(a + 182)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -12160 divided by 4?\nAnswer: -3040","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 313256347 to the power of 1\/8, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b + 21*w - 16*w = 29, -2*w = -8 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 3*p = 28, -6*r - 3*p + 80 = -r. Let n = -11 + r. What is k in 22\/5*k**n + 8\/5*k**3 - 4\/5 + 2*k = 0?\nAnswer: -2, -1, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -784.9 + 785. What is the third biggest value in -0.4, -10.6, b?\nAnswer: -10.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nd when two letters picked without replacement from {d: 7, u: 2, n: 1}?\nAnswer: 7\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 47613657?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -2*b**2 - 8*b + 5. Let z be i(-5). Is z\/(5\/4)*(-55495)\/220 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*m**4 - 55010*m**3 + 9603236*m**2 wrt m?\nAnswer: -48*m - 330060","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -61475437*g**3*l**3 + 1624*g**3*l**2 - 154*g**2*l**2 - g**2*l + 5*l**2 wrt l?\nAnswer: -368852622*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 109 + 112 + 229*t - 184*t. Let c be f(-5). Sort 2, 6, c in increasing order.\nAnswer: c, 2, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -178 - 117*w + 59 + 62 + 52*w + 57 - 13*w**2.\nAnswer: -13*w**2 - 65*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 34\/6 - (-24)\/(-36). Suppose -2*h - 527 - 401 = -x*y, -4*y + 740 = -h. Suppose 0 = 5*q - q - y. What is the remainder when q is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uuu when three letters picked without replacement from {u: 7}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 73455911 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3 and -324.\nAnswer: 972","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = v**3 + 59*v**2 + 869*v + 29. Give m(-30).\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -905406*k - 905372*k + 1810772*k.\nAnswer: -6*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -150*c**2 - 1 + 148*c**2 - 6 + c**3. Let i be a(3). Suppose -5*n + i*p + 1312 = 426, 0 = n - 3*p - 172. Is n a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 409276799*q**3 + 470682006.\nAnswer: 1227830397*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1102232 (base 5) to base 14.\nAnswer: 6d3d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/17, -0.3, 8, -2114, -5 in decreasing order.\nAnswer: 8, 2\/17, -0.3, -5, -2114","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 32\/1469 and 73\/130.\nAnswer: 14690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 516*n**4 - 12*n**2 - 19.\nAnswer: 12384*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21 = -5*z - 4*d, -8*d + 127 = 4*z + 115 for z.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 345 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -7*w - 61. Let o be c(-9). Suppose 4*p = -b - 0*b + 44, o*b + 3*p = 93. Is b a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 22*s**2 - 68*s - 26*s**2 + 8 + 66*s in the form q*s + b + n*s**2 and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0 + 0.1. Is l >= 2\/25?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-13182)\/(-468) - 4\/24. Is k greater than 5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 68 = -5*f + 6*k, 5*k + 58 = 4*f. Suppose -3*a + f = a. Suppose a*u = -5*c + 285, -2*c + 7*c + u - 295 = 0. Does 20 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -5*x - 5. Let o(u) = 10 - 22 + 11. Let f(r) = -i(r) + 5*o(r). Let s(h) = -40*h**2. Calculate s(f(n)).\nAnswer: -1000*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -l - 4*h + 11, 3*l - 14 + 37 = 2*h for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -17, 16434, -5, 12 in increasing order.\nAnswer: -17, -5, 0, 12, 16434","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the second derivative of 0 - 8\/33*d**3 - 1\/66*d**4 + 20\/11*d**2 - 56*d. Solve y(j) = 0.\nAnswer: -10, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -7*y**3 + y**2 + 3. Let p be f(-2). Let c be 2849\/p - (0 - 6\/(-27)). Let g be 215\/c + 4\/(-18)*-1. What is the second biggest value in -6\/19, -0.3, g?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 404 or 400?\nAnswer: 400","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the second derivative of b**3\/2 - 13*b**2\/2 + 1463*b. Let w = -4 - 2. Let t be g(w). Is t less than -31?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1178?\nAnswer: 2, 19, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 25 + -20. Suppose -2*l - h + 2 = -3*h, l - t*h = -7. Let v(q) = 2*q + 3. Give v(l).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-9)\/(-6))\/((15\/(-8))\/(-1)).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 11? (a) 5 (b) 25 (c) -1\/4 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -11267 + 236659\/21. Let w = 1\/42 + t. Let i = -5 + 10. Which is the biggest value? (a) i (b) w (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3*l**2 - 590*l + 563.\nAnswer: -6*l - 590","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is fifteen sixteenths of a century in months?\nAnswer: 1125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-182)\/(-39))\/(30\/90)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a kilometer in meters?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 59341 = -17216*n - 2794*n - 83893 + 43184 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -38.354 rounded to the nearest integer?\nAnswer: -38","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -14816.1 - -15840. What is d rounded to the nearest one hundred?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 5*x**2 + 3*x - 2. Let c be o(3). Is c > 254\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 447265845 and 591?\nAnswer: 591","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7 - 5. What is the first derivative of 1 - 3*y**2 - 3 + 1 + y**r wrt y?\nAnswer: -4*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 256\/3 + -86. Let h = 0.96 + -1. Let j = h - -3.04. Which is smaller: o or j?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 267\/9 + (-2)\/(-6). Suppose -w = l - 17, 5*l = -3*w + 57 + 18. Let k be (-3)\/l - (-61)\/4. What is the greatest common factor of k and i?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2 + 1\/(3\/3). Find the first derivative of 15 - 9*i**4 - b + 11*i**4 - 11*i**4 wrt i.\nAnswer: -36*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 542*(-1)\/6 + (-8)\/(-24). Let i be (-15 - -3)\/4 + p\/(-24). Suppose -i*s + 3*s**3 + 0 + 9\/4*s**2 = 0. Calculate s.\nAnswer: -1, 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 to the power of 1\/8, to the nearest integer?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 714 minutes before 11:47 PM?\nAnswer: 11:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -175*g - 13*v + 59 = -171*g, -5*g + 37 = 4*v for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -511 - 14?\nAnswer: -525","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4482*h - 119 + 119.\nAnswer: -4482*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (2 + 173\/5)*430. Let y = 23619 - b. Let n = y + -94471\/12. Find the common denominator of n and 107\/6.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15423 divided by -159.\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1018824845, -1018824844, -1018824843, -1018824842, -1018824841, -1018824840?\nAnswer: -1018824839","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*s + 100 - 9*s - 80)*(0 + 4 - 2 + (2 + 2 - 2)*(-2 + 3 - 2) + 2 + 1 - 2).\nAnswer: -7*s + 20","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t, 2 f, and 1 b when four letters picked without replacement from oowftcobbbboofo.\nAnswer: 4\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 250014 is divided by 77.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 26*j. Let t be g(1). Suppose 2*r + 7 = z, -4*r + 5*z = -3*r + t. List the prime factors of r\/(-1) - -9 - -2.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 442*o + 1768 = 450*o. What is the greatest common factor of o and 65?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*q**2 - 3*q**2 - 2*q**2)*(-18742*q + q**2 + 18742*q - 128).\nAnswer: -7*q**4 + 896*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 371 - -48. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 830108611 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: What is 98 minutes before 5:18 PM?\nAnswer: 3:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -273505 < -273646?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2112) + sqrt(33))\/sqrt(11))**2 + -5 + ((sqrt(288)\/sqrt(6) - sqrt(48))*-6)**2 + 0.\nAnswer: 238","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:49 PM and 11:31 PM?\nAnswer: 402","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m + 33 + 12 = -5*c - 5, c + 37 - 15 = -10*m - 36 for c.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -651 + g**2 + 179 - 3*g - 2055*g**3 + 472 to the form v*g**2 + c*g**3 + s*g + m and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01376579 rounded to two decimal places?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) be the first derivative of -331*k**4\/4 - 1849*k**2\/2 + k + 2228. Find the second derivative of m(j) wrt j.\nAnswer: -1986*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (24 - 15) + -2 - 72.\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 5048648123 to the power of 1\/10, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 774 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 10 = 0, 37*c = 35*c + 5*q + 16800. List the prime factors of c.\nAnswer: 5, 23, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the second derivative of 7201*h**5\/20 + 77*h**4\/12 + h**3 + h**2 - 611*h. What is the third derivative of p(j) wrt j?\nAnswer: 43206","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = m**3 + 1. Let y be w(-1). Suppose 2*v + 2*v - 8 = y. Solve 2 = -3*q + v*d + 3, 5*q - 35 = -5*d for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in twenty-one quarters of a millimeter?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.7 + 2.3. Suppose -603 + 45 = -3*x. Let j = -1676\/9 + x. What is the closest to j in 5, 0.4, t?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 8250*h**3*m + 4*h**3 - 613*h*m**4 + 5600250*h wrt m?\nAnswer: 8250*h**3 - 2452*h*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) be the first derivative of -y**2 + 6. Let h(b) = -10*b**2. Determine h(n(k)).\nAnswer: -40*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3520?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 271529 or 271531?\nAnswer: 271529","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -249 = -m - 246 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*a**3*l - 316*a**2*l**2 - 106*a**2 - 3*a*l + a + 1417*l**2 wrt a.\nAnswer: 12*a*l - 632*l**2 - 212","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -357*h + 176*h - 288 = -163*h for h.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 121 + 3*k - 116 - 3*k**3 + 5*k**2 + 0*k**3 + 4*k**3 + 3*k. Calculate l(-3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 924 divided by 6.\nAnswer: 154","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -18*j - 360. What is the smallest common multiple of 40 and n(-25)?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - 4) + -11 + 17 + 5\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 15, 4, 2.\nAnswer: 1, 2, 4, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*v**2 - 90*v - 675.\nAnswer: -3*(v + 15)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and 509\/2051 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-16)\/(t**(-21)\/t))\/(t\/(t**(-30)\/t))**26 assuming t is positive.\nAnswer: t**(-826)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 35 + -6. Suppose -3*r = -2*u + a, r - 6 = -3*u - 2*r. Calculate the smallest common multiple of 9 and u.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 6 (b) 0 (c) 1 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 58893293 and 293?\nAnswer: 58893293","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -3 - (0 + -1)\/((-2)\/(-10)). Solve -3*i = -1 - b for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9519.383mg in grams?\nAnswer: 9.519383","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k + 2*x = 19, 5*x = -k + 17 + 24 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l**9*l**(7\/2)*(l**(2\/9))**(-50))**(2\/3) assuming l is positive.\nAnswer: l**(43\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k\/(k**0*k))**(-15\/4)\/(k*k\/k**1)**(-34))**(-1\/9))**(-41) assuming k is positive.\nAnswer: k**(1394\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2 (b) 0 (c) 1294 (d) 66 (e) -1 (f) 1.6\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.16370188 rounded to one decimal place?\nAnswer: 1.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-10)\/8)\/(5\/(-20)). Which is the closest to 0.1? (a) 1\/4 (b) h (c) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-16)\/(-72) + (-1252)\/(-36). Suppose -g + 8 = -t. Solve -4*f - t = -23 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -133, -216, -283, -328, -345, -328, -271?\n\"Answer: h**3 + 2*h**2 - 96*h - 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 divided by 6346003?\nAnswer: -7\/6346003","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 4*g = 66, 2*p + 2*g + 23 + 21 = 0. Let n be 2\/11 + (-260)\/p. Let l = 21 - n. Calculate the remainder when 16 is divided by l.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -63, -1, -5, 5 in ascending order.\nAnswer: -63, -5, -1, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 525 minutes after 11:51 AM?\nAnswer: 8:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7497 and 395532557?\nAnswer: 833","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 612*r + 1503 + 2408 - 851 = 0 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -491*u**3 - 10*u**2 - 10*u - 1. Is a(-4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -349 + 352 - (-3 - (-3 + 2) - -6 - -25)?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/130)\/((-21)\/273) - (-28)\/(-90).\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -47\/42318 and 56\/9?\nAnswer: 42318","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-w + 0*w - w)*(-2*w - 3*w + 0*w)*(0*w**2 - 3*w**2 + 4*w**2).\nAnswer: 10*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15545418 divided by 6186.\nAnswer: 2513","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 16323.4 rounded to the nearest 10000?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -120 (base 3) to base 7\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-13)\/(2 + 15\/(-7)). Suppose -3*u - 2*n - 70 = 0, -n - 4*n = 3*u + 85. Let l = -7 - u. Calculate the greatest common factor of b and l.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 30330070?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 126.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 127, -1\/3, 15 in descending order.\nAnswer: 127, 15, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 71020.06 weeks in days?\nAnswer: 497140.42","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (220\/75)\/11*6\/(-4). Which is the nearest to -0.2? (a) 2 (b) -7 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 42964 is divided by 33?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2079, 2071, 2049, 2007, 1939, 1839?\nAnswer: 1701","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the first derivative of -1\/2*f**2 - 1 + 1\/3*f**3 - 1\/12*f**4 - 2*f. Let q(w) be the first derivative of s(w). Factor q(j).\nAnswer: -(j - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) be the first derivative of w**4\/4 + 8*w**3\/3 + 7*w**2\/2 + 2*w - 4265. Let r(d) = d**2 - 9*d + 7. Let p be r(7). Calculate g(p).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -d**3 + 425*d**2 - 46224*d + 90732. Let h(b) = -2*b**3 + 851*b**2 - 92447*b + 181466. Let p(u) = 3*h(u) - 5*s(u). Factor p(m).\nAnswer: -(m - 213)**2*(m - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 6*v + 1. Let h(i) = i - 9. Let j be h(8). Let k be g(j). Let c = 240 + -239. What is the nearest to c in k, 2, -7?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -16460, -2.\nAnswer: -16460, -4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = z - 375967, -r + 66015 = 3*z - 59302. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 bigger than 1\/31751?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 plus -77880.7?\nAnswer: -77874.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2 + 3)*(2 - 3). Let f be (-10)\/(-16)*s\/5. Let m = -3\/8 + f. Which is the closest to m? (a) -3 (b) -2 (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s**(-3))\/s**(5\/2)*((s*s*(s\/(s*s**(2\/7)))\/s*s)\/s)\/s*s**(-3\/2)*(s**(-2\/3)*s*s**(-2\/31))\/(s*s\/(s\/(s*(s*s**1)\/s)))**0 assuming s is positive.\nAnswer: s**(-3917\/651)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = i**2 - 10*i - 23. Let m be t(13). Suppose 78 = -m*r - 10*r. Which is the third biggest value? (a) -4.6 (b) 2 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) be the first derivative of -q**6\/15 - 2*q**5\/5 - q**4\/5 + 16*q**3\/15 + 22. Solve v(c) = 0 for c.\nAnswer: -4, -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1 + (2 - 1 - 0). Let g(i) = 4*i**2 - 3*i**2 - 2*i**w. Let j(m) = 3*m**2. Determine g(j(y)).\nAnswer: -9*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4, -27, -106, -271, -552?\nAnswer: -979","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 327 to the power of 1\/3, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -4.97+2\nAnswer: -2.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mywwyyyykwmwnky. What is prob of sequence wyy?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 117 = -4*g - 109, 5*g - 3*q = 21. Suppose -4*l = 8 + 32. Let j = l - -19. Solve -3*i = -g + j for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -0.1 (b) -4 (c) 17 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.66144 + -0.3.\nAnswer: 0.36144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the first derivative of -x**5\/5 + 11*x**4\/12 + 8*x + 14. Let u(l) be the first derivative of q(l). Find the third derivative of u(i) wrt i.\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in twenty-one eighths of a millennium?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5*c**2*y**3 + c**2*y**2 - 11*c**2*y - 8*y**3 + 99*y wrt c.\nAnswer: -10*c*y**3 + 2*c*y**2 - 22*c*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = d**3 - 14*d**2 + 13*d + 29. Let v be k(13). Suppose j - j = v*j. Factor -w**2 + 2\/3*w + 1\/3*w**4 + 0 + j*w**3.\nAnswer: w*(w - 1)**2*(w + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1203126?\nAnswer: 2, 3, 239, 839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in 3, -524, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2472, -4942, -7412, -9882, -12352, -14822?\nAnswer: -17292","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-2)\/4)\/((-2)\/(-4)). Let p = 823.05 - 813.05. Which is the fourth biggest value? (a) h (b) 1 (c) -0.3 (d) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -19597274 divided by -9798637\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 100 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 237\/1757 + 2\/251. Let g be 14*((-676)\/4095 - 2\/(-9)). Which is the closest to 0? (a) 2\/9 (b) g (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = h**3 - 10*h**2 - 5*h - 3. Is g(11) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 376 + 1705 = -135*c + 56 for c.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 8 = 4. Let m = 1261\/8 + -158. Let v = 5995\/27 + -222. What is the second biggest value in v, b, m?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 45778.01 litres in millilitres?\nAnswer: 45778010","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -488.52769 rounded to 0 dps?\nAnswer: -489","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 + (-1555)\/(-12440) + (-450)\/16?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 194 and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3\/94 + 43\/1598. Let g = w - -12\/85. Let v = -123176 - -123190. Which is the second biggest value? (a) 0.3 (b) -1 (c) v (d) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2306383.2ns in days?\nAnswer: 0.00000002669425","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -412\/285 - -30\/19. Let y be (-8)\/(-6)*(36\/(-16) + 2). Which is the second smallest value? (a) y (b) 3\/4 (c) 1\/3 (d) i\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*j + 1 - 1 - 4*j + 3*j**2.\nAnswer: 3*j*(j - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 9*-3*(-8)\/24. Suppose -h*i + 13631 + 157 = 0. Is i a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 10136 + -6690. Let a = -2389 + k. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y**3\/3 - 39083*y**2\/3 - 7734480*y = 0. Calculate y.\nAnswer: -38480, -603, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000005932 to six dps.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 1924?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(75) - 6*(sqrt(75) + sqrt(75) + 4*sqrt(75) + sqrt(75) + sqrt(75)))\/sqrt(5))\/((sqrt(432)*6)\/sqrt(9)) + -2.\nAnswer: -47*sqrt(5)\/24 - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = j**2 - 2423*j + 598184. Determine m(279).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 156*f + 45*f - 15594 + 519 = 0 for f.\nAnswer: 75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -10*c. Let s(a) = 11*a. What is -4*q(r) - 5*s(r)?\nAnswer: -15*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12057125.\nAnswer: 5, 96457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-4)\/(-6)*582*(-10)\/(-40) is divided by 25.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 7\/1006520 and -99\/40.\nAnswer: 1006520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 48 - 145\/3. What is the closest to -3 in y, -3, -5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (17 + (-26 - 0))\/(8\/72).\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -4*z + 4. Let a(b) = -9*b + 7. Let o(i) = 2*a(i) - 5*k(i). Let t be o(5). Solve 9 = -t*j - 11 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:50 AM and 12:22 PM?\nAnswer: 152","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -301\/1395 + -1\/155. Let v = 0.6 - 0.8. Is y less than v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 60749325 and 16211?\nAnswer: 559","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 625 minutes after 3:52 AM?\nAnswer: 2:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-18 - -48) + -11 + 1 + 13 + -9?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 4, o: 3, n: 1, y: 11}. Give prob of sequence yyny.\nAnswer: 55\/5168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 3*c + 18. Let t be a(-6). Suppose -5*d - 3*p + 1987 = t, -5*p = 2*d + 3*d - 1995. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2837808656 to the nearest integer?\nAnswer: 53271","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -311*c - 1122 = -317*c. Let m = -1299\/7 + c. What is the common denominator of m and 45\/86?\nAnswer: 602","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -657*s = -23*s + 129*s + 264*s - 63674 for s.\nAnswer: 62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 10*m**3 + 67397*m + 14533106.\nAnswer: 30*m**2 + 67397","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -13*l**4 - 6*l**3 + 14*l**2. Let i(o) = 14*o**4 + 5*o**3 - 14*o**2. Let g(j) = -5*h(j) - 6*i(j). Find the third derivative of g(w) wrt w.\nAnswer: -456*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1 + -1030231?\nAnswer: -1030232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 161 (base 16) to base 2.\nAnswer: 101100001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 35*b + 199*b + 88*b + 178*b - 264*b**2 + 4*b**3 + 348 + 420.\nAnswer: 4*(b - 64)*(b - 3)*(b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -u**3 + 14*u**2 - 6*u - 1. Let s(y) = 7*y - 1. Suppose 9*t - 16 = t. Let m be s(t). List the prime factors of f(m).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9)\/2*(170\/(-4335))\/((-2)\/238)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3 - 0\/(1 + (-4)\/2). Suppose -4*w + c*j = -199, -105 = -2*w + j - 4. What are the prime factors of w?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 5*d + 298 = -d, 3*d = -a + 300. Does 13 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -z**3 + 93*z**2 - 76*z - 1010. Determine t(92).\nAnswer: 462","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + -0.6152?\nAnswer: -5.6152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.036380616 rounded to three dps?\nAnswer: -0.036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 10*f = 7*f. Put -0.4, -3, 3, f in decreasing order.\nAnswer: 3, f, -0.4, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -3, -151, 51 in descending order.\nAnswer: 51, 2, -3, -151","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49*d = -2*a - 241, 0 = -2*d - 0*a + 4*a + 2. Solve -1 = g + d*i, g - 176*i + 175*i - 5 = 0 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4.58 + 2.58. What is the nearest to 1 in -21\/8, q, -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 874340.4 centuries to decades.\nAnswer: 8743404","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 209 + -42.3\nAnswer: 166.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + 25 = 0, 0*a + 4*b - 40 = -2*a. What is the greatest common divisor of a and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*n = 52*n - 39*n - 1368 for n.\nAnswer: -76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(176) + -1 + -3)*-4*-3.\nAnswer: -240*sqrt(11) + 240","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = 2*w + 7, -3*j - 5*w = 35 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -4*l - 2*q, 4*l - 3*q + 3 = 20. Suppose -p = v - l, -2*p = 4*v - 0*v - 12. What is the closest to -1 in -1\/4, -0.3, v?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4886133.\nAnswer: 3, 7, 43, 773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Do -5\/1519714 and 1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 51 divided by 8\nAnswer: 51\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a + 21*p = 18*p + 6*p + 290, -2*p - 210 = 0 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3 + 1*(21 + -3). Let k be (m\/(-15) - -1) + 3618\/45. Suppose 7*f = 12*f - k. Calculate the highest common divisor of f and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -3*t**2 + 2*t - 3. Let z(f) = 2*f**2 - f + 3. Determine 3*y(d) + 4*z(d).\nAnswer: -d**2 + 2*d + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2563298 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 89.68 + -91. What is m rounded to 1 decimal place?\nAnswer: -1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, t: 2, b: 1, a: 2, v: 1, q: 1}. Give prob of sequence ql.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2*9\/(-6))\/(9\/(-45)). Solve -t*s + 3*s = -36 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -3*d**2. Let s(i) = -115664*i**2. Determine s(p(m)).\nAnswer: -1040976*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.87 - 0.07. Let m = f - 1.1. Let z = -0.1 - m. Is 2 at least as big as z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -36\/319 and 0.1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -b + 2. Let j be z(-2). Suppose -3*i + 24 = -3*k, -4*k + 40 = -8*k - j*i. Let r = 17 + k. What are the prime factors of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) be the third derivative of 5*i**5\/12 - 215*i**4\/24 - 15*i**3 - 20*i**2. Solve j(u) = 0 for u.\nAnswer: -2\/5, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17879*q - 35799*q + 17893*q - 540 = 0 for q.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1058403 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -138.524105 rounded to the nearest ten?\nAnswer: -140","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 9 - 21. Let y = -8 - a. What is the closest to -0.1 in -5, y, 5?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6685?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1771?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 6 - -32?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the second derivative of -85*o**7\/42 - 23*o**4\/4 + 23*o. Find the third derivative of i(k) wrt k.\nAnswer: -5100*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 398931 and 14699073.\nAnswer: 191087949","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -2*((-63)\/(-153))\/(-7)\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = i - 26. Let y(x) = -135*x - 961. What is b(y(s))?\nAnswer: -135*s - 987","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -115979 - -173353. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1512 a multiple of 84?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 560 = -774*z + 809*z for z.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w - 3*w = -12. Let f be 3*(0 - w\/3). Sort -0.4, 4\/9, f in increasing order.\nAnswer: f, -0.4, 4\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + -5 + 1*(sqrt(1900) + sqrt(1900)*2) + -4 + 3)**2 + -3.\nAnswer: -540*sqrt(19) + 17178","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1\/4 + (-9)\/4. What is the remainder when (-2)\/(-3)*(-123)\/n is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 - (-8 + 3) - -27 - 9 - 7?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven tenths of a hour in minutes?\nAnswer: 66","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*k - 2 + 8. Let s be (k\/(-6))\/(21\/315). Suppose -37 + 132 = s*g. What is the units digit of g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 92*y**2 + 3212*y + 92. What is the tens digit of x(-42)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 2*c = 6, 0*k + 2*k - 4*c = -12. Let a be (30\/k)\/(-3)*2. Suppose 5*w - 4*n = 32, -5*w + a*n - 2*n = -34. Solve w*m = 3*m - 15 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -1316, -2350, -4064, -6452, -9508, -13226, -17600, -22624?\n\"Answer: f**3 - 346*f**2 - 3*f - 968","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = -2*t + 1. Let a = 2 + t. Suppose 6*r - 4*r = 3*b - 8, -5*r + 26 = 4*b. Solve -2*f = -5*s - b, 4*f - 5*s + a + 1 = 0 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1011 + 995. Which is smaller: 7.5 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) be the first derivative of c**6\/6 - 114*c**5\/5 + 12*c**3 + 135. What is the third derivative of v(o) wrt o?\nAnswer: 60*o**2 - 2736*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1058 is divided by 106.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-24)\/21*(-7)\/2. Let f be (-6)\/(-9)*(-210)\/(-28). Differentiate 7 - h + 7*g - f*g - 17*g wrt g.\nAnswer: -15","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -859 and -1.7?\nAnswer: 857.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -71 + 70. Let r(b) = 2*b. Let q(c) = 19*c - 8. Let n(h) = i*q(h) + 3*r(h). What is the units digit of n(-5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k - 4*g = g + 10, -3*k - 19 = g for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-48)\/(-4) + 142)*4\/14. Solve 0 = n + 45 - y for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 179 a factor of 681453?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1152050 is divided by 3802?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/k**14*k\/((k\/(k*k**7*k*k*k))\/k))**(-4\/5)\/(k**(1\/14)*k*k**(4\/7))**(-9\/7) assuming k is positive.\nAnswer: k**(1427\/490)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 67 - 33. Suppose -139 = -2*p - 2*p + k, p - x = k. What is the remainder when p is divided by 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3014035 (base 7) in base 10?\nAnswer: -356746","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v - 4*o + 72 = 0, 2*o - 16 = 79*v - 81*v - 0*o for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -2*i - 2. Let t(u) = 10*u + 10. Let p(r) = r**3 + 26*r**2 + 24*r - 22. Let x be p(-25). What is x*t(g) + 14*z(g)?\nAnswer: 2*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2.1466*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -w**3 - 17*w**2 + 20*w + 37. Let s be v(-18). Let b be s + -630999 - (2 - 0). What is b rounded to the nearest 100000?\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -102*h**2 + 191*h**2 + 4 - 4 - 99*h**2.\nAnswer: -10*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = p**2 - 6*p + 6. Let m be (-91)\/(-21) + 4\/6. Let d be f(m). Let n(a) = a**2 + 4*a - 6. Let b be n(-5). Put b, -2, d in decreasing order.\nAnswer: d, b, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 104390 and 10770?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that b**2\/5 + 80461*b + 2413794\/5 = 0.\nAnswer: -402299, -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = l, 5*l + 5*x = -0*l + 20. Let y be l - -4 - (2 + 1). What is the second derivative of 238*a**2 - 238*a**2 - y*a**5 - 2*a wrt a?\nAnswer: -120*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 156.101 - 156. Let l = u - 7.001. Let a = l - -6.8. Which is smaller: -36 or a?\nAnswer: -36","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31\/5 of a centimeter in micrometers?\nAnswer: 62000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4855*g + 977*g + 166754 = 0 for g.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 1066.562 days?\nAnswer: 92150956800000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.2 and 1706921.\nAnswer: -341384.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 11 (b) -0.2 (c) -16 (d) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 802263?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in -4, 2\/11, -5, 5?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 6121 (base 13) to base 2\nAnswer: 11010001000010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 4*l + 2. Let m be g(2). Let f(q) = q**2 - 9*q + 14. Let y be f(8). Suppose y*u - 109 = 11. Calculate the greatest common divisor of m and u.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.12996 and -588704965?\nAnswer: 588704965.12996","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -119 by -4396.\nAnswer: 17\/628","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bhhbaabhbbaw. Give prob of sequence hab.\nAnswer: 3\/88","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is x in 12*x**4 - 6988*x**3 + 9216*x**2 + 46608*x - 74368 = 0?\nAnswer: -8\/3, 2, 581","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 87, 92, 97, 102, 107?\nAnswer: 112","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/4 of a hour in seconds?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-63414)\/(-72) - (-9)\/(-12). Factor u*p**3 - 566*p + 100*p**4 + 694*p + 990*p**2 - 334*p**2.\nAnswer: 4*p*(p + 8)*(5*p + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that -10*c**5 + 869584*c**4 + 1391358*c**3 + 173924*c**2 - 347840*c = 0.\nAnswer: -1, 0, 2\/5, 86960","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -150 = -5*n - 5*n. Suppose 3*a = c - 6*c - n, -4*a = -3*c - 9. Which is smaller: -0.1 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = j + 5*h + 6, 2*j - 3*h - 5 = 4*j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 806, 3049, 6772, 11963, 18610, 26701, 36224?\nAnswer: 47167","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-10)\/(-30) - 38\/(-3). Let f be ((-4)\/(-3))\/(2\/3). Find the third derivative of -5*k**3 + 2*k**f - s*k + 13*k wrt k.\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -90327 divided by -3.\nAnswer: 30109","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*d - 3*d + 8*d - 2)*(-2*d - d - 2*d).\nAnswer: -15*d**2 + 10*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 2, s: 2, t: 5, j: 3}. What is prob of picking 1 s and 1 t?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1690\/(-10)*((-48)\/9)\/4. Let z = u + -226. Let h = -2.3 - 0.7. Sort 5, z, h in increasing order.\nAnswer: h, z, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29940 to the power of 1\/3, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*r + 131 - 31. Let p = r - 3. Suppose -4*v + 14 = -p. What are the prime factors of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -155\/72162 and 7\/666.\nAnswer: 2669994","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = p**6 - p**5 - p**3 - p**2. Let c(b) = 3*b**6 + 4*b**5 + 6*b**3 + 221*b**2. Let l(o) = -c(o) - 6*x(o). What is the third derivative of l(u) wrt u?\nAnswer: -1080*u**3 + 120*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -24 - 37. Let n = u + 100. Does 11 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*i**3 + 241450*i**2 + 2915146560*i + 5829327360.\nAnswer: 5*(i + 2)*(i + 24144)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, 0, -194, 2 in increasing order.\nAnswer: -194, -0.2, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1421 is divided by 175.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2.301 + -193.699. Which is the fourth biggest value? (a) 3 (b) -0.3 (c) z (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 + -503048.\nAnswer: -503057","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -a - 51. Let r(s) = 3. Let b(y) = 102*r(y) + 6*z(y). Let k(t) = t**2. Determine b(k(w)).\nAnswer: -6*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 1 + 3)*(-6 + 6 + j) - 1152*j + 4705 - 4705 + (3 - 1 + 0)*(-j + 2*j - 2*j).\nAnswer: -1152*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 103\/122142 and 29\/2568.\nAnswer: 52276776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -2*h - 5. Calculate the remainder when 27 is divided by c(-6).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:17 PM and 3:31 PM?\nAnswer: 194","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 301\/4 + -1387\/12. Let u = -40 - j. Solve -2\/3 + 1\/3*b**2 + u*b = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2.8969015589 + 2.8969. Round m to 7 dps.\nAnswer: -0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 60520 (base 7) to base 3\nAnswer: 202010011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000106466 to six dps.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 437, 2092, 4853, 8720, 13693?\nAnswer: 19772","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f*f**(-15)*f*f\/f**26 assuming f is positive.\nAnswer: f**(-38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is a - 161?\nAnswer: -157","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b, 1 n, and 1 q when three letters picked without replacement from {z: 1, n: 3, b: 1, h: 2, q: 12}.\nAnswer: 12\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 49*w + 41 - 139. Suppose -w*r - 20 = 2*r, 0 = -2*j - r + 3781. What are the prime factors of j?\nAnswer: 3, 631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 135\/3368 or -71?\nAnswer: 135\/3368","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2940547.\nAnswer: 103, 28549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -20266, -81060, -182392, -324262, -506670?\n\"Answer: -20269*x**2 + 13*x - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0012508779861 to 4 decimal places.\nAnswer: -0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15\/(-9)*29\/(870\/(-216))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1197 and 63?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the second derivative of d**7\/168 + d**6\/8 + 149*d. Solve j(y) = 0.\nAnswer: -15, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*x - 39732 = -6*x. Calculate the highest common divisor of x and 430.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -198 - -787\/4. Which is the second biggest value? (a) x (b) 0 (c) 8\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 111*y - 141*y = -2070. What are the prime factors of y?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ccjcjccccccjcjccjjj. What is prob of sequence jcjj?\nAnswer: 35\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*q**4 - 5368*q**3 - 7526*q**2 + 1072*q + 3225 = 0. Calculate q.\nAnswer: -1, 3\/5, 1075","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -26 - 11*t + 18 + 24 - t**2. Let l = -20 - -8. Let v be p(l). Let w(x) = -x + 3. What is w(v)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 5*a - 18 = 2*h, -a - 18 = 4*h. Suppose -3*w - a*w = 0. Suppose 16 = 3*b + 4*z - w*z, -4*z - 16 = -5*b. Solve -o + 3*g - b = 4*g, 2*g + 2 = 0 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 20 in 1\/3, -8, -3, -42?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = t**2 - 5*t + 17. Does 2 divide z(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4165 is divided by 139.\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 - ((-432)\/(-40) - 9))*(-110)\/3.\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*s**2 + s**2 - 12*s**2 - 10*s**2.\nAnswer: -17*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by 18155.\nAnswer: 2\/18155","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 340*g**2*w + 2*g**2 - 66*g*w - 20*g + 135303963*w with respect to g.\nAnswer: 680*g*w + 4*g - 66*w - 20","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 49961 is divided by 10946?\nAnswer: 6177","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*o**2 - 4*o**2 + o**2)*(85*o**2 + 9*o**3 - 85*o**2) + 0*o**3 - 3*o**5 + 0*o**3.\nAnswer: 15*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = -3*z - 2. Let l(v) = -v**3 - 2*v**2 + v - 6. Let c be l(-3). Is c bigger than z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -s**3 + 6*s**2 - 6*s - 3. Suppose 246*r = 245*r + 3. Calculate t(r).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3460 and 3980.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*l**2 + 8*l**2 - 12*l**2 + 9*l**2 - l**2.\nAnswer: 4*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000000421453879 to seven decimal places.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1453016, -1453031, -1453062, -1453115, -1453196, -1453311, -1453466, -1453667?\nAnswer: -1453920","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 11\/((-231)\/(-6)) + 20\/77. Find l, given that 0 - 4\/11*l - 2\/11*l**4 + 0*l**3 + y*l**2 = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-29 + 0*b - b + 35)*(4 - 1 - 2)*(-2 + 5 - 2)*(-1 - 4*b + 1) to l + a*b + o*b**2 and give o.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7 + -12. Sort -1, q, -4 in decreasing order.\nAnswer: -1, -4, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vvvmvvvvmvvvmvmvvvv. Give prob of sequence vvvv.\nAnswer: 455\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, 320, -5 in ascending order.\nAnswer: -5, 8, 320","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) be the first derivative of q**7\/630 + q**6\/360 - q**5\/180 - q**4\/72 + q**2\/2 + 3. Let n(k) be the second derivative of z(k). What is j in n(j) = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-13)\/78*9*4\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 8848995?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*u**2 + 9860755*u.\nAnswer: -5*u*(u - 1972151)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.89647 to 1 dp.\nAnswer: -3.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -29*s**4*w**2 - 3*s**2*w**3 + s*w**3 - 854*s*w**2 wrt s.\nAnswer: -348*s**2*w**2 - 6*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.2 and 0.49081.\nAnswer: 0.29081","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (26 + 48 + 41 + 77)*(9 - 5*t**2 - 9) to y + g*t + h*t**2 and give h.\nAnswer: -960","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 2 (b) -82 (c) 0.13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sum -5885789 and -0.2.\nAnswer: -5885789.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 2*x = 6. Let a = -8 + 13. Sort a, -3, x in increasing order.\nAnswer: -3, x, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + (33 + -2 - 32) + 54 + -2.\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 24 = 4*v, 10*t - 4*v - 21 = 7*t. Find the third derivative of -31*g**2 + 92*g**t + 4*g**2 - 15*g**3 - 17*g**2 - 39*g**2 wrt g.\nAnswer: 462","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -c**3 - c**2 + c + 27. Let m = 0 - -2. Let v = -2 + m. Let u be n(v). What is the highest common factor of 3 and u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11000002021012 (base 3) in base 12?\nAnswer: 867188","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 64590017 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Total of 4054.84 and 0.0302.\nAnswer: 4054.8702","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -80 - -173. What is the second derivative of 3*h + 24 - 87*h**4 - d - 41*h**4 wrt h?\nAnswer: -1536*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -137*s**3 - 3779*s**2 wrt s?\nAnswer: -822","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 276651506 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: What is the sixth smallest value in -1\/5, 2, 0.16, 2\/1391, 0.04, -0.9?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 24\/18 + (-1036799988)\/(-9). Suppose -3*y = 13*y - j. Round y to the nearest one million.\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4303716 by -358643.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -131\/92952 and 68\/64125261.\nAnswer: 513002088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 210018?\nAnswer: 2, 3, 17, 29, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6403 to the nearest integer?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 16 + -11. Suppose h*d + 90 = 435. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/(n\/(n\/n**1)*n))**(-17\/2))**(-43)*((n**1*n*n*n*n)**0)**20 assuming n is positive.\nAnswer: n**(-731\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1763212 divided by -4.\nAnswer: -440803","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 9*d + 318. Let f = 101 + -71. Calculate the remainder when n(-29) is divided by f.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -23*j**3 + 3*j**2 + 3*j - 4. Let c be ((-6 + -3)\/(-3))\/(-1). Is d(c) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18368 divided by -1312.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3851321*-0.3.\nAnswer: -1155396.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 5, b: 1, u: 5, j: 6}. What is prob of picking 1 p and 1 b?\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -15*d + 685*d**2 + 5 - 1282*d**2 + 604*d**2 to c*d + q + a*d**2 and give c.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 26 in 0.1, -6450, 5, -1?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -193\/35784000 and 53\/1562000.\nAnswer: 393624000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3293258 rounded to two decimal places?\nAnswer: -0.33","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6 + -1912476.23?\nAnswer: -1912475.63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 734220.1 nanometers?\nAnswer: 0.0007342201","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -27*f. Let l(v) = -46*v. Let z(t) = -20*t. Let d(c) = 2*l(c) - 5*z(c). Determine d(x(y)).\nAnswer: -216*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2492 is divided by 1656?\nAnswer: 836","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5054505 (base 7) to base 12.\nAnswer: -250380","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -837 - -877. What is the highest common divisor of 16 and f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3907 + -62567\/16. Find the common denominator of a and 49\/58.\nAnswer: 464","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2.21688 and 0.5?\nAnswer: 1.10844","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 3, p: 6, n: 4, f: 1}. What is prob of sequence jjj?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 76 - 261 + 218 + 4*j**2 - j.\nAnswer: 4*j**2 - j + 33","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (sqrt(612) - (0 + sqrt(612))) + (sqrt(612) - (sqrt(612) + -1))*3 + ((sqrt(612) + 1)*5)**2 + -2)*-1.\nAnswer: -15322 - 300*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2, 7, 14, 23, 34, 47?\nAnswer: 62","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1380)\/(-730)*7\/3. Let d = -82151\/292 - j. Let n = 284 + d. Do n and 0.1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is four thirds of a year in months?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1013 (base 5) to base 9\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -2*d**3 + 18*d**2 + 6*d - 1. Let m(t) = -6*t**3 + 56*t**2 + 17*t - 3. What is -6*m(z) + 17*y(z)?\nAnswer: 2*z**3 - 30*z**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24 - 21 = 3*y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-52)\/(-2)*(903\/42)\/(-43)\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -0.07, 3, 18, -3\/10, -2\/21?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 2*z - 2 = 0, 3*f + 5 = -2*f + 5*z. Put -1, f, 1 in decreasing order.\nAnswer: 1, -1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0353 rounded to 1 dp?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1813439009 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 744119 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37 = 5*g - 0*g + 3*n, g - 4*n - 12 = 0. Let r = 74 + -72. Suppose 4*t + 20 = 4*p, -p + 1 = -3*t + r. What is the lowest common multiple of p and g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.50348 milligrams to tonnes.\nAnswer: 0.00000000650348","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 455 and 628810?\nAnswer: 455","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3067.\nAnswer: 3067","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -741478 by 4286.\nAnswer: -173","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that -3*q**2 - 116904*q + 116907 = 0.\nAnswer: -38969, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-99)\/77 - 2\/(-7)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/739 equal to -1\/16?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a - 4*a + 52 = 0. Let c = -9 + a. Suppose -j - 3 = f - 17, 101 = c*j - 5*f. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 220*a - 4*a**3 - 38 + 150 + 45*a**2 + 84*a**2 + 4*a**2 - 29*a**2.\nAnswer: -4*(a - 28)*(a + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.5 + -0.7. Let k = 631 + -629.8. What is the second smallest value in o, k, -3?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 66341071?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence if when two letters picked without replacement from iiiiiiiifiiii?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -38.2 + 6.3. Let k = -24 - -56. Let p = h + k. Which is the third biggest value? (a) p (b) 4\/7 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -s - 95. Let m(x) = 2*x**2 - 979*x. Determine o(m(q)).\nAnswer: -2*q**2 + 979*q - 95","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 1146210?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 1406, 1416, 1430, 1448, 1470, 1496?\n\"Answer: 2*g**2 + 4*g + 1400","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2102\/209 + 103\/19. Find the common denominator of -18\/121 and n.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/2 (b) -0.1 (c) -0.195\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -c**2 + 10*c - 8. Let p be x(8). Let w(y) = y**2 + y + 24. Let l be w(p). Let j be (l\/(-18))\/((-4)\/6). Let u(i) = -i**2 + 7*i + 11. Give u(j).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*j - 26 - 7. Let v = 416 - 395. What is the remainder when v is divided by j?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.30663 - 0.3923. What is c rounded to two decimal places?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 12*g - 117*g - 56*g**5 + 39*g**5 wrt g?\nAnswer: -340*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -705 and -0.06983979.\nAnswer: -705.06983979","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 8*o - 2*o = 0. Suppose x - 18 - 11 = 0. Solve 2*l - 5*a - x = o, -2*l - 14 = l + 4*a for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*b - b - 2*h + 143, -3*b - 5*h + 101 = 0. What is the lowest common multiple of 18 and (-12)\/(b\/12 + -3)?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that 0 - 6*s - 3\/2*s**3 + 6*s**2 = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 54263 and 73995?\nAnswer: 813945","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -3 (b) -0.1 (c) -0.0415064 (d) 12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -64*j**2 + 36*j**2 + 11*j**2 + 0*j**2 - 3*j**2 + 10*j**2 + (0 + 0 - 2*j**2)*(2 - 4 + 1) in the form v*j**2 + c + z*j and give v.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (288*i - 36*i + 14*i + 354*i)*(1 - 3*i**4 + i**4 - 3).\nAnswer: -1240*i**5 - 1240*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 80, 153, 236, 335, 456, 605, 788, 1011?\n\"Answer: z**3 - z**2 + 69*z + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -30.4 + 30. What is the fourth biggest value in -1, -0.01, s, 5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) be the first derivative of 7*s**3\/3 - 6*s + 1. Let d(c) = -40*c**2 - 2*c + 28*c**2 + 2*c + 17 - 8*c**2. Determine -6*d(p) - 17*j(p).\nAnswer: p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -3*a**2 - 27*a + 113. What is d(5)?\nAnswer: -97","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 55 = a, -g - 9 = -14. List the prime factors of a.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -3*s**2 - 2*s**2 + 7*s**2. Let m(l) = 12*l**2. Determine x(m(t)).\nAnswer: 288*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of h + 8*h**4 - 29*h**4 - 24*h**2 - 15*h**4 - 21*h**4 - 40*h**2 wrt h.\nAnswer: -1368*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in q - 33*q**3 + 2*q**3 + 20*q**3 - 34*q**3.\nAnswer: -45*q**3 + q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w**6\/(w*w\/w**(-5\/2)))**(-33))**(1\/6))**(-37\/3) assuming w is positive.\nAnswer: w**(407\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -2\/23, -0.7, -7, -0.1, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -64\/33 and 149\/186.\nAnswer: 2046","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 48332052661 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 2010*n - 32190. Determine d(16).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 10922233 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 227422.\nAnswer: 2, 13, 8747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 5*q + 4. Let z(k) = -k - 3. Let x(s) = g(s) + 3*z(s). Let y(m) = -m**2 + 5. Let l be y(0). Suppose 4*d - l*d + 4 = 0. Determine x(d).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*h = -39*h + 54 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5 + sqrt(833)*1)*-4 - (-5*2*sqrt(833) + (4*(sqrt(833) + -1) - sqrt(833))))**2.\nAnswer: -672*sqrt(17) + 7753","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2\/((-6 + 33\/6)\/(-13)) and 18?\nAnswer: 468","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-10912 - 10102 + 15755)*(b - 2 + 2 - b + 3 - 3 + (2 - 1 - 2)*(-2*b + 4*b + 0*b)) to the form o*b + p and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 4, -3, -5, -151, 1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v + 29 = 5*d, 6*v - 94 = d - 93 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 1\/18, -0.3, 2\/7, 0.0357, 5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -x + 1. Let n be t(2). Let u(z) = -45*z - 288. Let j(k) = -k - 8. Let s(d) = -36*j(d) + u(d). Let c(p) = p. Determine n*s(l) - 6*c(l).\nAnswer: 3*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 4*h + 11. Let s(g) = g + 4. Calculate -6*k(n) + 21*s(n).\nAnswer: -3*n + 18","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + -7 + (76 - 73)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 327659 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1674310 is divided by 963?\nAnswer: 616","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 16, 0.2, 3, 640.9513 in decreasing order.\nAnswer: 640.9513, 16, 3, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 26372441?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -6*v + 10. Let y(x) = -6*x + 9. Let c(p) = 6*k(p) - 7*y(p). Suppose -4 = -2*w + 4. Let g be c(w). Solve 5*l - 2*s = -4*s + 7, -3*l + 3*s = -g for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qqpqqqpqpqqqppqpqqp. What is prob of sequence qqpq?\nAnswer: 385\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 11*u - 2. Let h(s) = 2*s. Let k(a) = g(a) - 6*h(a). Let l(d) = -1. Let j be 4\/14 + 30\/(-7). Calculate j*l(p) + k(p).\nAnswer: -p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0 and 531.37.\nAnswer: 531.37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ynhhhhznpnhyhhyznhyp. Give prob of picking 2 z.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b**(-1\/3)\/b))**(2\/57)\/((b**(-3)\/b*b*b*b*b)\/((b*b\/(b\/b**(-16)))\/b)) assuming b is positive.\nAnswer: b**(-2722\/171)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 275538669 a multiple of 547?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -5 (b) 0.3 (c) 113 (d) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 49\/4 and 117\/4396?\nAnswer: 4396","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/4, 5, -0.5, 22\/9, 1\/25, 3 in descending order.\nAnswer: 5, 3, 22\/9, 1\/25, -1\/4, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.4280569ml?\nAnswer: 0.0004280569","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 161872 and 5092.\nAnswer: 268","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (4 - 4) + 3 + -3. Is 6 a factor of (1 - b\/(7 + -3)) + 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = y**2 + 3*y - 5. Let f be x(-4). Let p be 30\/(-8) + f\/4. Let t be 42\/8 + (-5)\/20. Sort t, -3, p in descending order.\nAnswer: t, -3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 0*d + d + 7 - 11*d + 8*d. Let l be z(5). Calculate the common denominator of 284\/(-24) + l + 2 and -95\/18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2 - 3500?\nAnswer: -3465","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -11, 1\/4, 2\/5, -106?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 34\/(-36) - (15 + (-19)\/(304\/256)).\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2000489355 a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -304*h - 873*h + 141065 = 408*h for h.\nAnswer: 89","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*f - 1816*f**3 - 3*f + 1814*f**3.\nAnswer: -2*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 3, c: 1, b: 2, l: 12, f: 1}. What is prob of sequence bfl?\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cup when three letters picked without replacement from {f: 1, a: 1, w: 1, p: 2, u: 1, c: 1}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**35\/j*j**37*((((j*j\/(j\/(j*j\/(j*j**(18\/5)*j*j)*j*j)*j*j))\/j)\/j)\/j*j)**1 assuming j is positive.\nAnswer: j**(327\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -26 - -31. Let m(l) = -7*l + 5. Let o(q) = 3*q - 2. Let h(z) = 2*m(z) + 5*o(z). Let j(g) = g + g - 5*g + 2*g**3 - 3 + 2. Determine x*h(u) + j(u).\nAnswer: 2*u**3 + 2*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 10 - k + 0 - 2*k**5 - 7 + (0*k**4 + 0*k**4 + 2*k**4)*(15*k + 9*k - 2*k).\nAnswer: 42*k**5 - k + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -n**3 + 2*n**2 + 3*n + 2. Suppose 0 = u + 2 - 5. Let z be q(u). Let y(r) = 3*r**3 - 4*r**2 + 4*r - 2. Does 14 divide y(z)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -3 - ((-17)\/1 - 3). Suppose -3*i = x - 2. Suppose -7*r = -5*v - 8*r, -3*r = -v. Sort i, -2, v.\nAnswer: i, -2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 86 is divided by 9.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -223 - 215 - 221 + 660 + 24*s**2.\nAnswer: 24*s**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15 - (-46 - (9 + -19 + 11))?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7 + -5. Suppose j + n - 7 = -q, -j - 2*n = 0. Let w be ((-1)\/j)\/((-2)\/(-5)). Is 1 greater than w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 154375 and 625?\nAnswer: 154375","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1.5 + -1. Let o = -18.11 - -18. Let g = 0.51 + o. What is the biggest value in -4, v, g?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 154455 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/11 (b) 3\/2 (c) 7724\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-27 - -24) + 4 + -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = k**3 - 7*k**2 - 7*k - 7. Let o be h(8). Solve -5*m + 8 = 3*x, -4*x - m + o = -4*m for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 39 - 2\/(-4)*-2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 8*u + 0*u - 10*u + 5*u - u. Let h(p) = -1081*p**2. What is b(h(a))?\nAnswer: -2162*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2032 and -0.5?\nAnswer: -1016","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2343792 and 1749?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4515883 is divided by 45.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 744 is divided by 36.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 122801, 245604, 368407?\n\"Answer: 122803*w - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 5278?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 14) to base 10\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - i - 33 = 0, -i - 90 = -2*r - 5*i. Let w = -149\/4 + r. What is the closest to -1 in -5, 2, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 56827.3 and -0.3.\nAnswer: -17048.19","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00018861 rounded to six dps?\nAnswer: -0.000189","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -350 or 226?\nAnswer: -350","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l, 1 z, and 1 i when three letters picked without replacement from zzvliubv?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 76 is divided by 27?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -62+194240\nAnswer: 194178","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -312, -2, 3, -555, 4, -5 in increasing order.\nAnswer: -555, -312, -5, -2, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*s + 5*r + 13963 - 14085, 0 = 160*s + 3*r + 574 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -263*r**2 - 269*r**2 - 266*r**2 + 1059*r**2 - 265*r**2.\nAnswer: -4*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 f when two letters picked without replacement from {f: 7, x: 12}.\nAnswer: 28\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 7*k + 48 - k**2 - 6*k + 2 - 3*k. Let j be w(-8). Let i = 87 - 263\/3. Which is the closest to 1\/4? (a) i (b) 2\/9 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4 + -13. Which is greater: x or -10?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-3 - 21)\/(9\/(-312)). Suppose 2*t + d = -0*r + 4*r, r = -3*t + 215. Calculate the lowest common multiple of 190 and r.\nAnswer: 2090","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4 + -1e2c12?\nAnswer: -1e2c0d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/9 (b) -0.01 (c) -5 (d) 0.5 (e) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3.2 - 3.16. Let i = -8.54 + w. Let y = i - -9. Which is the third biggest value? (a) 2\/13 (b) -2\/15 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00002000261 rounded to six dps?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 20 and 1530?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q**4\/2 - 3723*q**3\/2 - 121197*q**2 + 123060*q = 0 for q.\nAnswer: -1172, -70, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9269 + 429*c - 9269)*(-c + 2*c + 0*c) + (1 - 1 - 3)*(-2 + 2 - 2*c**2).\nAnswer: 435*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-2534)\/27)\/(-1 - (-3)\/9). Let r = v - 141. Which is smaller: 0.3 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 46 + -44. Let t = -220 - -1096\/5. Sort t, p, -2\/17 in descending order.\nAnswer: p, -2\/17, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 162878765?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -65.1 - -68. Let r = -3.9 + z. What is the second biggest value in -4, r, 4?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 492 and 2316?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 2\/125 of a kilometer?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3432 and 5148.\nAnswer: 10296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h**3 + h**2 - 1. Let l(p) = p**3 + 4*p**2 + 8*p + 2. What is -l(s) + 3*q(s)?\nAnswer: 2*s**3 - s**2 - 8*s - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 32.2 and 3013?\nAnswer: 97018.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 146*d**2\/15 - 354478*d - 145676\/15.\nAnswer: 2*(d - 36419)*(73*d + 2)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7 - 21. Let p(s) = 7*s + 3. Let x(z) be the third derivative of -8*z**4\/3 - 14*z**3\/3 - z**2 + 19*z. Determine b*p(u) - 3*x(u).\nAnswer: -4*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44 - 97 = -k - 5*o + 1 + 207, -6*k - 3*o + 135 = 0 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.4 from -719155040.55.\nAnswer: -719155040.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:56 AM and 4:08 AM?\nAnswer: 132","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) be the second derivative of 0*d**2 + 0*d**3 - 1 + 1\/12*d**4 - 44*d. Let w(k) = 290*k**2. Determine w(t(b)).\nAnswer: 290*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1 - 148\/(-10))\/((-47)\/(-1645)). Is -11 less than or equal to z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 78559379 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = -0*a + 2. Let n = a - -4. Let q = 8 - n. Are 3 and q equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -6 + 7*i - 8*i - 11*i**3 + 7 + 2*i**4 - 11*i**3 in the form s*i**4 + w*i**2 + k*i + m + q*i**3 and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in -25, 4, -3\/2, -7\/5, 21?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*f**2 + 0*f**2 - 7*f**2 + 5*f**2 - 14*f.\nAnswer: -2*f*(f + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -70 (b) 105 (c) 67\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 835415748?\nAnswer: 2, 3, 37, 209063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -261, -417, -687, -1077, -1593?\n\"Answer: -o**3 - 51*o**2 + 4*o - 213","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (4 - (-1 - 0)) + -3 + -5\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.0214594 and -17.\nAnswer: 0.3648098","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 39518 - 20032. What is the thousands digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) be the third derivative of -w**9\/28 - w**5\/12 - 8*w**2. Find the third derivative of j(q) wrt q.\nAnswer: -2160*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2\/9 or 4\/101?\nAnswer: 4\/101","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 8133456 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: Two letters picked without replacement from bbxqdqjkdjdjk. What is prob of sequence bj?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is b - 211d?\nAnswer: -2112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*y**2\/5 + 1884*y - 18832\/5.\nAnswer: -2*(y - 4708)*(y - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10063235?\nAnswer: 5, 7, 13, 17, 1301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 253?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h when two letters picked without replacement from {k: 3, j: 3, h: 2}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 12713 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*2*((-1*(sqrt(11) + 0))**2 + sqrt(11)).\nAnswer: 2*sqrt(11) + 22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = -3*q - 4. Let c be 682\/q - 6\/15. Let f(s) = 136 + 2*s**2 - c. Let j(g) = 7*g. Determine j(f(d)).\nAnswer: 14*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 147684895 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**1\/k**(-5)*k*k**(-3\/2)*k*k**(1\/3))**(-27) assuming k is positive.\nAnswer: k**(-369\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -5*b + 17. Suppose -b + 2 = -f. What is the first derivative of -f - 4*y**2 - 1 + 6*y**2 wrt y?\nAnswer: 4*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 14.777226 months?\nAnswer: 0.0012314355","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:37 AM and 4:02 PM?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*m**4 + 64*m**3 - 218*m**2 - 280*m.\nAnswer: 2*m*(m - 4)*(m + 1)*(m + 35)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 29\/47 and -8\/9?\nAnswer: 423","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 18194 = 11804. Suppose -3*n + 39002 + j = 0. Round n to the nearest ten thousand.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.3 - -0.1. Let u(v) = v - 3. Let q be u(3). Suppose 4*p + 5*d - 40 = q, 2*d = -3*p - p + 28. Put p, l, -3 in descending order.\nAnswer: p, l, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 483 = 3*w + 33, 3*q - 450 = -3*w. Suppose -5*h + w = -0*h. Suppose 0 = -3*r - 5 + 17. Solve r*t + 10 = h for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.03 - -0.144. Round y to two decimal places.\nAnswer: 0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 63580 to the nearest ten thousand.\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1814 - -1838. What is the smallest common multiple of v and 66?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -114 and 351827932.\nAnswer: 351827818","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 5*7\/5*(-40)\/(-140)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -96*a - 1. Let b(f) = f**2 - 33*f + 3. Let i(n) = 24*n**2 - 660*n + 60. Let t(v) = -60*b(v) + 3*i(v). Calculate m(t(y)).\nAnswer: -1152*y**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 156385728 and 970?\nAnswer: 194","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 51\/85 + (-138)\/5. Let d = 32 + u. Suppose 2*c + 5*s = 1, -d*c + 0*s = -2*s - 17. Solve i + j - 5 = 0, -c*i + 5 = 4*j - 10 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2 + 4. Let t be ((-4)\/3)\/((-2)\/w). Suppose -3*y + 0*y = -9. Solve -t*n + 3*n + y = 0 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 4 = 2*l, -8*f + 5*f - 3*l - 57 = 0. Let n = 15 + f. Put -1, 3, 4, n in ascending order.\nAnswer: -1, n, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9655 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(99)*3.\nAnswer: 9*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 163*i**3 + 0 + 0.\nAnswer: 163*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15a136 (base 11) to base 5.\nAnswer: 30411401","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*d**2*w - 13*d**2 - d*w - 57*d - 65 wrt d.\nAnswer: -8*w - 26","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pkkpppkp. What is prob of sequence kkkp?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.2 (b) 3435 (c) 46 (d) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = f**3 - 25*f**2 + 86*f + 14. What is the tens digit of w(22)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -5*y + 135. Suppose 8*h - 3*h + 4*w - 33 = 0, 5*h = 2*w + 51. Is 2 a factor of m(h)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that 5*f**4 - 32855*f**3 + 53988965*f**2 - 53890425*f - 107912250 = 0.\nAnswer: -1, 2, 3285","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*a**3 - 859441*a**2 - 7032720*a wrt a?\nAnswer: -18*a - 1718882","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1085.\nAnswer: 5, 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*z**2 + 535990*z + 734475 with respect to z.\nAnswer: 4*z + 535990","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that 462*m**2\/5 + 463410*m - 2317512\/5 = 0.\nAnswer: -386252\/77, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -15053885*t**5 + 2*t**4 - 2*t + 525959?\nAnswer: -301077700*t**3 + 24*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lee when three letters picked without replacement from llleelll?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) be the third derivative of -w**9\/60480 - w**8\/5040 - w**7\/2520 - w**6\/720 - w**5\/60 + 3*w**2. Let i(f) be the third derivative of g(f). What is i(-4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 40960 and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -2 + -39 - (18 - (7 + (-19 - -37) + 6))\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51*h - 116 = 55*h. Suppose -42 = 5*t + 98. Is h less than t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the third derivative of c**5\/60 - 17*c**4\/24 + 25*c**3\/6 + 10*c**2. Let p be f(11). Let z = 44 + p. Solve 2*n - 1 = z*n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 8*k - 60*k + k**2 + 29*k + 23*k. Let d(w) be the first derivative of 1 + 5*w**2 - 5*w**2 - 2*w**3. Calculate u(d(c)).\nAnswer: 36*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 15 = 7. Suppose -5*i = q*d - 6 - 5, -21 = -5*i + 3*d. Suppose 8 - 5 = -i*k. Let w(t) = t**3 - 2*t**2 + 1. What is w(k)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 10393 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zttg when four letters picked without replacement from {z: 7, t: 4, g: 5}.\nAnswer: 1\/104","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out -207170 + 0.6.\nAnswer: -207169.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -8837 + 36896. List the prime factors of u.\nAnswer: 3, 47, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 579 + -543. Does 12 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (9\/(-6))\/(28\/168)*(-1)\/(-7)?\nAnswer: -9\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 108 - -89. Suppose -2 + d = 5*t. Let b = -28 + t. Is b a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 100.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -5179 divided by 147\nAnswer: -5179\/147","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*v**2 - 102*v = 0. Calculate v.\nAnswer: -34, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (23 - 14) + -7 + (-2 - -10).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -111 = -2*i + 251. Let y = -74 - i. Is (y\/(-6))\/(-5)*-2 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 191*u**3 + 5*u**2 - u - 1. Let h be c(5). Let z = 13956 - h. Is 4\/(-26) - z\/182 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50*r + 2334 = 734. Solve 23*c = r*c + 9 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1228271 and 0.4.\nAnswer: -491308.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 7 = -5*a + 78, -5*a - 3*h + 81 = 0. Calculate the remainder when a is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-56)\/56*(-16)\/(-88)*8\/(-40)?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*o**4 - o**4 + 0*o**4 + 5*o**4 + 13*o**4 - 2*o**4 + (-2*o + o + 3*o)*(-2*o**2 + 2*o**2 + 2*o**3) - 3 + 3 - 2*o**4.\nAnswer: 17*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (4 + 10)\/(43\/14 - 3). What is the greatest common factor of 20 and t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26097*b + 25807*b - 50952*b.\nAnswer: 952*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3148 - 3132. Solve -9*r = -11*r + 8, -y = -4*r + l for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32*b**3 + b - 100*b**3 + 0*b.\nAnswer: -68*b**3 + b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6314)\/(-4059)*(-12)\/(-98).\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3315037643 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = k - 1, x + 5*k = 17. Let p = 0 + x. Let 2\/5 + 2\/5*a**p - 4\/5*a = 0. What is a?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -j**3 - 241*j**2 + 485*j - 60086. What is d(-244)?\nAnswer: 182","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = r**2 + 15*r + 15. Let f be j(-13). Let s = f - -26. Let z = s - 10. Put z, 3, -4 in increasing order.\nAnswer: -4, 3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37218920293 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (396\/(-7920))\/(12\/(-54)*-9*1\/(-32)).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 31\/((-16275)\/42) + 8\/((-5600)\/(-156))?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -3\/4, -9400 in increasing order.\nAnswer: -9400, -3\/4, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*z**2 - 103617*z + 207222.\nAnswer: 3*(z - 34537)*(z - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -w**3 + 8*w**2 - 7*w - 10. Let h be r(7). Let i be 4\/h*(-50)\/5. Solve -3*m + 27 + i = 4*u, 0 = -3*m - 2*u + 23 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6139098 and 872.\nAnswer: 218","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 12 + -13. Suppose 31*r - 240 = 11*r. Let j be (5\/(-3))\/(r - 11). What is the nearest to s in 4, -7, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54*o + 255 + 130 = -19*o for o.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1068701 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 132361963 to the power of 1\/3, to the nearest integer?\nAnswer: 510","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*v**4 - 656506*v**3 - v**2 - 440*v + 17443?\nAnswer: -36*v**2 - 3939036*v - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 5*x**2 - 12*x + 4. Let g(j) = -4*j**2 + 9*j - 3. Let h(t) = 4*g(t) + 3*o(t). Let y(r) = 39*r. What is y(h(c))?\nAnswer: -39*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-1)\/3)\/(207\/122337). Sort 2, -5, h, 0 in decreasing order.\nAnswer: 2, 0, -5, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 506862212?\nAnswer: 2, 126715553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qakkmhz. Give prob of picking 1 m, 1 a, and 1 q.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -61\/211279658 and 1\/10.\nAnswer: 1056398290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 + (9\/135)\/((-5467)\/(-1827) + -3)?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 740 divide 1382525120?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 37039.\nAnswer: 37039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = j + 167. Let c(w) = w + 168. What is -4*c(k) + 3*m(k)?\nAnswer: -k - 171","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 16*x - 18*x + 162374. Let h = x + -259187. What is h rounded to the nearest ten thousand?\nAnswer: -180000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -5*s**4 - 303*s**2 + 4*s - 32583 wrt s?\nAnswer: -20*s**3 - 606*s + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) be the third derivative of 0*k - 125*k**2 + 0 + 0*k**3 + 23\/24*k**4. Let a be (0 - (-1 - 0))*1. Determine j(a).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -364*d**3 - 2 - d**2 + 20537306*d + 0*d**2 - 20537306*d to u + r*d + i*d**2 + z*d**3 and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(36)\/sqrt(2))\/sqrt(6) - (-5 + sqrt(3)*-1 + sqrt(3))**2*-5.\nAnswer: -5*sqrt(3) + 125","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t**(-48)\/t)\/t)\/((t*t**(-2\/55)*t)\/t))\/((t\/t**(-17\/4))\/t*t**(3\/5)) assuming t is positive.\nAnswer: t**(-12279\/220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -21 - ((-174)\/44)\/(270\/1485)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 5314 and -1048.887822.\nAnswer: 4265.112178","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - p = 1781 + 268, -3*p + 9 = 0. Let q = -450 - i. What is the highest common factor of 52 and q?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t + 0*t = -3*y - 12, -31 = 5*y + 2*t for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -23 - -22. Let l(a) = -227*a. What is the tens digit of l(p)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1 + -1 - (2 + -57254). Let k = -149527 + 37275. Let t = k + s. What is t rounded to the nearest 10000?\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -8887 + 16685. What are the prime factors of b?\nAnswer: 2, 7, 557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -45*v - 6. Let m be z(7). Let a = m - -325. Solve 16 = a*t + 4 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = -13 - 5. Suppose 0 = -5*l - s - 0*s + 5, -1 = -l - s. Solve -4*h - l = -i for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1a0a77 + -5?\nAnswer: 1a0a72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z**2 + z + 1 - 6 + 1. Suppose -u + 5*n = 46, -5*u + 3*n = -0*u + 164. Let m be (-2)\/16 + -2*u\/(-16). What is y(m)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = i**3 + i**2 - i + 6. Let p be r(0). Suppose -296 = -p*b + 2*b. Let o = b + -47. What is the tens digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 124682 and 25606?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*q**3 - 18*q**3 + 7*q**3 + 7*q**3.\nAnswer: q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -1643, -4, -2 in increasing order.\nAnswer: -1643, -4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -d (base 15) to base 13\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2473180 and 25.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.1, -46, -15\/8, 113\/5, 0.2?\nAnswer: 113\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 114 is divided by 34.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*s**3 - 14*s**2 - 24*s.\nAnswer: -2*s*(s + 3)*(s + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -2*k**3 - 29*k**2 + 44*k - 80. Give m(-16).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 4078, 16412, 36998, 65836, 102926?\n\"Answer: 4126*d**2 - 44*d - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t**(-22)*t)\/(t\/(t*t**(-4\/21))))**32 assuming t is positive.\nAnswer: t**(-13568\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10255?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 2857867271?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.1, -1\/1243, -56?\nAnswer: -1\/1243","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-110)\/22)\/((-15)\/9). Solve -5*m + 12 = -4*y, -2*y = -3*m + z + 5 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -5*x - 7. Let t(q) = -q. Calculate 2*t(m) - y(m).\nAnswer: 3*m + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2.7 + -2.4. Which is the closest to 2? (a) -2 (b) o (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -19006400 rounded to the nearest one hundred thousand?\nAnswer: -19000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 127 = -s + 18, -5*v - 296 = -2*s. What is the least common multiple of s and 11?\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 8*d - 32. Let y be j(4). Let i(g) = -g**3 + g**2 + 2*g + 179. Let u be i(y). Suppose 5*o + 2*k = 992, o = 2*k + 17 + u. List the prime factors of o.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 2*z = l - 4, 0 = l - 5*z + 10. Let s = 37 + -53. Let w(c) = c**3 + 17*c**2 + 15*c - 19. Let t be w(s). Is t less than or equal to l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2\/1)\/(4\/10). Suppose 4*u - 56 = -3*v - 15, v = -h*u - 1. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*a + l + 12 = 34*a, 0 = 5*a - 2*l - 14 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o\/(o*o**(-1))*o*o\/o**5 assuming o is positive.\nAnswer: o**(-2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v = 4*b - 12 - 1, -3*b + 12 = 3*v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 4 - t**3 - 4.\nAnswer: -t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 599052 to the nearest integer?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 70954281994 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -7424*a - 28222 - 16322 for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -13757.3 rounded to the nearest ten?\nAnswer: -13760","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 5\/108, 0.25, -24\/7.\nAnswer: -24\/7, 5\/108, 0.25, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*v**2 - 4*v**2 + 0*v**2)*(164*v**2 - 11*v**2 - 5*v**2) to the form l*v**3 + b*v**4 + z + w*v**2 + p*v and give b.\nAnswer: 148","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 670 minutes before 1:13 PM?\nAnswer: 2:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 4608839830706 less than -0.1?\nAnswer: -4608839830706.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) be the first derivative of 2111*i**2 - 4475*i + 706. Differentiate n(m) wrt m.\nAnswer: 4222","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 40 + -37. Solve 8*i**2 - 20*i**v + 4*i + 22*i**3 - 2*i**2 = 0 for i.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-2)\/4)\/((-76)\/2651032) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 52500*l**3 - 2*l - 2. Let y be q(-1). Round y to the nearest 10000.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -51007688*n**3 - 23926837*n**2.\nAnswer: -306046128","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14005103*g**2 - 28009816*g**2 + 14004758*g**2.\nAnswer: 45*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 28*t**2. Let r(n) be the third derivative of -n**5\/15 + 33*n**2. What is r(s(w))?\nAnswer: -3136*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -k**3 + 7*k**2 + 12*k + 28. Let g be y(9). Let i = 298 + g. Calculate the highest common factor of 102 and i.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*l - 14*l + 9984 = 14*l. Let t(q) = q + 39. Let n be t(0). Calculate the greatest common divisor of n and l.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -5*i - 7. Let u(l) = -14*l - 20. Let q(m) = -6*u(m) + 17*y(m). Let k(d) = -6*d + 4. Suppose 5*z + 3*w - 26 + 7 = 0, -6 = 3*w. Give z*q(a) - k(a).\nAnswer: a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -407*b + 398*b = -4059. What is the remainder when b is divided by 110?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2148, 9207, 21142, 37953?\nAnswer: 59640","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -165, -204, -247, -294, -345?\n\"Answer: -2*f**2 - 33*f - 130","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4331934499\/148823610 - -2\/1459055. Let d = -288\/17 - k. What is the common denominator of d and 95\/22?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -19408*o + 15*o**3 + 3*o**2 + 18998*o + 4 - 4 + 32*o**3 wrt o?\nAnswer: 282*o + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4\/11, -5\/87592, 0.5 in descending order.\nAnswer: 0.5, 4\/11, -5\/87592","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 17.5 + -17. Let t be (-1)\/2*0\/(-2). Let l be 13\/(-2) + 18\/12. What is the nearest to -2 in l, t, c?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 3208, 3199, 3190, 3181?\n\"Answer: -9*m + 3217","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*g + 353 = 411 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 49860*q**3*s - 2*q**3 - 20414*q**2 - 1 wrt s?\nAnswer: 49860*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 14290?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 189788?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pupupxpppuppu. Give prob of picking 1 p and 3 u.\nAnswer: 32\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r**3 - 4*r**2 + 16*r - 32. Let t be (16\/14)\/((-16)\/(-56)). Let d be x(t). Calculate the greatest common divisor of d and 72.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -38.43*173\nAnswer: -6648.39","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 22 = -0*d + 3*d, -4*d = -5*r - 55. Let u = 5 + r. Calculate the smallest common multiple of 12 and (12\/(-9))\/(1\/u).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 127158 is divided by 165?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.008 to 4 dps.\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (28\/(-10))\/(5\/(-75))?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 90 + -35. Let d = n + -387\/7. Sort 0.2, -0.5, d in ascending order.\nAnswer: -0.5, d, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5\/4? (a) -3 (b) 0 (c) -2\/7 (d) 2 (e) 23\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 84599427?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -9 + 7 - 1 - 52*b**3 - 4*b + 2 wrt b?\nAnswer: -312*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 44 - 12. Suppose 3*r - 13 - 8 = 3*y, 0 = -3*r - 3*y + 27. Suppose 13*k = r*k + 400. Calculate the highest common factor of k and l.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -213334526*w**2*x**2 - 170*w**2*x - w**2 - 501*w*x - 3*w - 1 wrt x?\nAnswer: -426669052*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -876984 from 940.41.\nAnswer: 877924.41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -423 and -43845?\nAnswer: 43422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -2 - 1\/(1\/5). Let l(h) = -32*h + 396. Let o(i) = -21*i + 256. Let p(f) = 13*l(f) - 20*o(f). Calculate p(t).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11213 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 54.08*-0.8\nAnswer: -43.264","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1908 and 1620?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -0.5489*17\nAnswer: -9.3313","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 162 + -154.82. Let b = 7 - d. Let z = -0.02 + b. Which is smaller: -2\/7 or z?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 9 + -3. Let n = -6 + o. Solve n = -3*i + 12, 2*u + 2 = 2*i - 16 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 232333 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1020d6d (base 14) to base 4.\nAnswer: -131001222311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**5*o)\/(o**(-4)*o)*(o\/(o*o**(-2\/3)\/o))**(1\/14))**(1\/2) assuming o is positive.\nAnswer: o**(383\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 4 + 3)*(-5 + 3 + 15)*(8*v + 5*v + 3*v) to a*v + x and give a.\nAnswer: -208","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3042666 and 22352?\nAnswer: 2794","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Let q be (1 - 2)*-5*18\/(-15). Let k be 45\/36 - q\/8. Solve -d = -5*i + 2 + 3, 2*i = k for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 6 + -1 + 3\/(-3). Suppose -6*s - 19 + 13 = 0. Is 3 - (s - (-8)\/t) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*u - 65 + 11 = h, 9 = 5*u + 4*h for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -25 + 10*r + 25 - 7*r**3 - 5*r**3 wrt r.\nAnswer: -72*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 453180, 906398, 1359590, 1812744, 2265848?\n\"Answer: -2*s**3 - s**2 + 453235*s - 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 61*b + 81*b + 13 + 100*b**3 - 142*b to h + r*b**3 + n*b + j*b**2 and give r.\nAnswer: 100","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3312*q + 33 = -3315*q for q.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 291 and 873.\nAnswer: 873","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -599 - -923. Suppose 323*j + 120 = l*j. What is the highest common factor of 280 and j?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 185361366?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 179040 and 90855.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 7\/8 of a kilometer?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 9 = -s + 3*h, 4*s + 3*h = 12. Suppose -3*a = -s*p + 8*p - 176, -4*a + 263 = p. What are the prime factors of a?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 220252061 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -220*p + 2679. Calculate h(12).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -k**2. Let x(p) be the second derivative of -84*p**3 - 486*p. Give x(d(r)).\nAnswer: 504*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 2557 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -3.3 (b) -18 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.55 - 1064?\nAnswer: -1065.55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -3 - 2*j - 2*j + 3*j. Let o be h(17). Let u = 66 - o. What are the prime factors of u?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*w + 100 = -6*w. Solve 0 = w*n - 25, 3*m - 3*n = -m - 19 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -537 - -542. Solve 3*t = y - 8, -5 = 3*t - i*y - 1 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3336552 is divided by 133?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 2563*k**2 + 9*k + 54. Is v(-6) a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.4, 0.3, -0.6, -34, -2\/27, -17?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 211501?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -2227, -4443, -6655, -8863?\n\"Answer: 2*g**2 - 2222*g - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.5 (b) 6\/545 (c) -6.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1038561 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:59 AM and 1:10 PM?\nAnswer: 491","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.32 in -3, 3, -1\/4, 0.1?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 1115 (base 12) to base 11\nAnswer: 1468","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 230409?\nAnswer: 3, 25601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 10.08999811 - 10.09. Round r to 6 decimal places.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve t + 12333 = -l + 12314, 4*l = t + 4 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-4371)\/47)\/4185)\/(2\/24).\nAnswer: -4\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1599, -1471, -1345, -1221, -1099?\nAnswer: -979","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 34845569?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6598779273?\nAnswer: 3, 47, 349, 44699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -200011211 (base 3) in base 11?\nAnswer: -9a58","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4906 + 4906. Solve r = -s - 4*y + 23, -4 = 5*s - 2*y - 9 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -27.96 - -28. Let y = 2.74 - c. Let p = y - 2.6. What is the nearest to p in -1\/6, 2, -1\/3?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(95)*1*-2)\/(sqrt(10)\/sqrt(2)*5)*2.\nAnswer: -4*sqrt(19)\/5 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 354 = -4*s, -c + 5*c - 423 = -5*s. What is the tens digit of 0\/(-15) + 1 + s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (2 + 6*sqrt(300) + sqrt(300) + 5 + 4 + -3 + 2*sqrt(300) + -3)**2.\nAnswer: 900*sqrt(3) + 24321","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (33\/3)\/(-4 - -3). Let u = c - 0. Let q = 28 + u. List the prime factors of q.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -63*b - 5. Let c(a) = 114*a + 11. What is -3*c(d) - 5*g(d)?\nAnswer: -27*d - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2608306805 to the nearest integer?\nAnswer: 1377","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 421*f - 18 = 439*f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.33159 to 1 decimal place.\nAnswer: -1.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is p in -p**5\/7 - 761*p**4\/7 - 3022*p**3\/7 + 4546*p**2\/7 + 3023*p\/7 - 3785\/7 = 0?\nAnswer: -757, -5, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-39375)\/(-30625))\/((-33)\/(-7))?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -2 + (-2 - -3) - -3. Suppose 3*u + 357 = 5*p, n*p - 158 = -5*u + 10*u. Calculate the highest common factor of 3 and p.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 21474 and 90?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-68)\/(-68))\/((-1)\/11).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 + 0 = -5*s. Let f be ((-188)\/(-1034))\/((-1)\/3). Which is greater: s or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*r - 10*r = 201. Let t = r - -74. Let -4*s**5 + 20*s**2 + s - 28*s**4 + 48*s**4 - 24*s**4 + t*s + 12*s**3 = 0. Calculate s.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7252999*n**2 + 7255100*n**2 - 14508101*n**2.\nAnswer: -2*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 63 a factor of 256563925?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that 183*y**5\/5 + 1096*y**4\/5 + 171*y**3\/5 - 4394*y**2\/5 + 2976*y\/5 - 32\/5 = 0.\nAnswer: -4, 2\/183, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) be the third derivative of c**7\/560 - 7*c**6\/160 + 33*c**5\/160 + 7*c**4\/4 + 4*c**3 + 2*c**2. What is p in r(p) = 0?\nAnswer: -1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 875621.8 weeks to seconds.\nAnswer: 529576064640","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/2 of a milligram in micrograms?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 9 = -z. Let k(j) be the first derivative of 0*j**z + 1\/2*j**2 + 1\/2*j**4 - 1 + 0*j. Find the second derivative of k(s) wrt s.\nAnswer: 12*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11a (base 13) to base 3\nAnswer: 21010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 652, 3369, 8146, 14983, 23880, 34837, 47854?\nAnswer: 62931","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -50169 or -50165?\nAnswer: -50165","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) be the second derivative of 7*x**3\/6 - 2*x - 107. Let o(w) = -109*w**2 - 2*w. Calculate o(d(c)).\nAnswer: -5341*c**2 - 14*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -29*x - 7. Let v be g(3). Let u = v + 146. What is the remainder when u is divided by 14?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 472 minutes after 8:47 PM?\nAnswer: 4:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) be the first derivative of -a**2\/2 + 2*a - 3. Let c be g(-4). Let s(h) = h**2 - 5*h - 4. Let o be s(c). What is the greatest common factor of 16 and o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47 a factor of 13863026?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of (3 - (-5 - -6))*94?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 538423 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 27 - 23. Let q be (-8)\/((-6)\/3) - 2. Suppose -2*s = -q + 18. Sort s, -4, n in decreasing order.\nAnswer: n, -4, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -2*q**2 + 7*q + 4. Let j(f) = -f**2 + 7*f + 3. Let b(y) = -3*j(y) + 2*x(y). Suppose 16 = -6*g + 2*g + 2*p, 3*g - 4*p + 7 = 0. Determine b(g).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = d - 3. Let y(p) = 3*p + 4. Let i(w) = -4*w - 4. Let v(r) = -5*i(r) - 6*y(r). Determine 3*c(a) - 2*v(a).\nAnswer: -a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6 - 6. Suppose r = -u + 96 + 159. Suppose -o + 278 = -u. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 7219115 and 1595.\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*f - 171*f - 297*f - 2540 = 4804 for f.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 3 + 16 - (85 - 74) - -27\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-2)\/6)\/(2\/(-12)). Let b(g) = 10 + 2*g**s - g**2 - 11. Let w be b(2). Solve -3*m + 3 = k, 4*m = -2*k + 5 - w for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 93 + -84. Suppose -7*i - t*i = -12752. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 - ((-68)\/(-5) + -9).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 152*u - 104*u - 23 - 2*u.\nAnswer: 46*u - 23","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -5668 (base 16) in base 12?\nAnswer: -10974","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -10212 (base 6) to base 8\nAnswer: -2540","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 646281 or 646287?\nAnswer: 646281","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Let o = -8520.1 - -8520. What is the second biggest value in -20, o, -115?\nAnswer: -20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 97787963 to the nearest integer?\nAnswer: 461","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-3)\/(-21))\/((-9)\/(81\/30) + 3). Is j at least as big as 617?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1528*t + i + 18 = -1532*t, 3*t + 7 = -4*i for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 3 - 2*i)*(5 - 1 - 3)*(-5 + 5 + 2)*(-4*i + 0*i + 2*i) in the form a*i + n + r*i**2 and give r.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/7? (a) -5 (b) 4\/3 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = -5 + 25. Let l(y) = 6*y - 5. Let a be l(x). Let z(t) = -2*t - 7. Let s be z(-5). Solve 0 = -s*u - 2*u - a for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 3 - 30 = 0. What are the prime factors of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (16 - 16 - (-2)\/3)\/((-1232)\/(-3234))?\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 94 + 1.2439.\nAnswer: 95.2439","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/587? (a) 10 (b) -48 (c) 4 (d) 3.9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 31 + -6. What is the closest to -2 in -5, -1, d?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -32\/95 - -14\/19. Let w = -2905 + 11617\/4. Which is the closest to -0.5? (a) w (b) o (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -21309 or -91?\nAnswer: -91","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express ((9 - 5*d - 9)*(2 + d - 2) + (-3*d + 3*d + 2*d)*(0*d + 0*d - 2*d))*(d + 18*d - 6*d)*(-3 + 0 + 2) as r*d**2 + k + h*d**3 + x*d and give h.\nAnswer: 117","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 84*s + 47*s = 434527. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 3 - 2)*(-2*g**2 + 0*g**2 + g**2) - 2*g**2 + 5*g**2 - g**2 + 2*g - 255*g**2 - 844*g**2 + 17*g**2.\nAnswer: -1079*g**2 + 2*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 15502760 divided by 1820\nAnswer: 8518","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 170 minutes before 1:29 PM?\nAnswer: 10:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 0*l**3 - 7*l + l**3 + 11*l + 25 - 13*l**2. Is p(17) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 20*(3 - 20\/8). Is 12 <= s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 84\/36 - (-238)\/(-21).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 113035?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(85) - -1*(sqrt(85) + sqrt(85) + sqrt(85) + 2*sqrt(85) + sqrt(85) - sqrt(85)))\/(sqrt(5) + (sqrt(605) - (-1*sqrt(605) - sqrt(605)))).\nAnswer: 3*sqrt(17)\/17 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:03 AM and 5:14 PM?\nAnswer: 491","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.5 and 0.076621.\nAnswer: 0.0383105","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(5*(sqrt(448) + sqrt(448) + (sqrt(448) - 6*(sqrt(448) - (sqrt(448) + -2))))**2 + 3).\nAnswer: -8640*sqrt(7) + 62649","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25 - z - 41 + 16.\nAnswer: -z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/((-26)\/(286\/33)*(-2)\/6).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/4, 2\/9, 50.\nAnswer: 2\/9, 1\/4, 50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:06 AM and 9:05 AM?\nAnswer: 59","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 66502 is divided by 4988.\nAnswer: 1658","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 470.1 (b) -1\/9 (c) 0.3 (d) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -9 + 99. Calculate the highest common divisor of 18 and u.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101011011011 - 1111?\nAnswer: 101011001100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 14.79199674 from 2.701.\nAnswer: -12.09099674","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 12 = 0, o + 8 = 3*o + 4*k. Let t be (-6)\/(-2) + (-7 - -5). Is 6 a factor of 46\/8 - t\/o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((0 + 0)\/1)\/(-1). Suppose 0 = o + 3*a - v*a + 11, -13 = -o + 5*a. Is -2 < o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = -5*r - 4, -p - 9 = -5*r - 33. Suppose -f + 14 = p*j, 2*f = -j - 2*j + 13. Solve 4*s + 18 = -q, -j*s - 12 = 3*q - 3 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -2 + -2 + 4 - 3. Let u be (1\/(-2))\/(1\/2). Which is greater: u or m?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7 - 2*d + 12*d + 0 - 3*d.\nAnswer: 7*d - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (2\/4)\/((-3)\/(-6)). Let b(g) be the first derivative of g**2 - 4 + 2 - 4*g + r. Give b(5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.117042191 to 4 dps.\nAnswer: -0.117","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3\/(-7) - 12996\/(-532). Let k = -108 + 57. Let p = -15 - k. What is the greatest common factor of p and n?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -3*n**2 - 2*n - 1. Let c be d(-5). Let i be (-4)\/57*(-36)\/c. Let b = i - -406\/21527. Which is smaller: -1 or b?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1101110110010010000 - -110?\nAnswer: -1101110110010001010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 14958 and 700810?\nAnswer: 554","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 133866 to the power of 1\/3, to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.09 * 4671.1.\nAnswer: -420.399","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a millisecond in microseconds?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (204\/(-21))\/(((-292)\/(-1387))\/(798\/361))?\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -205 - -206. What is the nearest to q in -9, -19, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 n when three letters picked without replacement from {j: 10, n: 10}.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -k**2 - 4786*k + 115459. Determine h(24).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-26)\/(q\/q**(10\/3)))\/(q**(3\/14)*q\/q**(2\/15)) assuming q is positive.\nAnswer: q**(-5197\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 72*q - 20*q + 38*q + 2 - 4 - 121*q.\nAnswer: -31*q - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 4197*s**2 + 41986*s - 11. Give y(-10).\nAnswer: -171","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2720 rounded to the nearest 1000?\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -247 = -8*g + 17. What is the greatest common factor of 11 and g?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 261 and 477?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -3136*y - 18856. Calculate d(-6).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 372 = -o. Let b = -73 - o. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 195 - 196 = -5*z, 0 = 3*z - 2*x + 5. Put 2, -40, z, -3 in ascending order.\nAnswer: -40, -3, z, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 181493, -2 in ascending order.\nAnswer: -4, -2, 181493","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 400154923 to the nearest integer?\nAnswer: 20004","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1274*m + 1419*m + 1634*m + 3165*m - 48*m - 1011*m)*(3*m**3 + 5*m**3 + 4*m**3).\nAnswer: 77196*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -49440 and -0.2?\nAnswer: 9888","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 202325 is divided by 334.\nAnswer: 255","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -0.1 (b) 1\/253 (c) 3 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -83*d - 272 = 143 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f + 30. Let y be o(0). Suppose -2*d = -18 - y. Suppose 4*q = -0*q + d. List the prime factors of q.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 66 a multiple of 43?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (147\/(-12) - -12)*8.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 3*u - 6. Let h(j) = 2*j**3 + 12*j**2 + 7*j - 4. Let m(v) = v**3 + 6*v**2 + 3*v - 2. Let f(i) = u*h(i) - 9*m(i). Give f(-6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/19 in -0.1, 2, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 1983*p**2 - 988*p**2 - 996*p**2. Let f(w) = -90*w**2. Give m(f(a)).\nAnswer: -8100*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 111*c + 11 = 122*c. List the prime factors of c\/(((-77)\/11515)\/(-11)).\nAnswer: 5, 7, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12677, -585, 0, 4 in descending order.\nAnswer: 12677, 4, 0, -585","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the third derivative of 0 + 1\/15*d**5 + d**3 + 1\/120*d**6 - 12*d**2 + 0*d - 1\/8*d**4. Suppose 23 = -5*m - 4*f + 2, -2*m - 5*f = 5. Calculate l(m).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 147.2 - 180.2\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1782110887 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**0\/u)**29)**3 assuming u is positive.\nAnswer: u**(-87)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 93273 - 289833 = -65*q. Is q a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1.06 - -0.06. Let d = 11 - 11.9. Let m = d - -1.1. What is the third smallest value in g, 0, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 260 minutes after 8:16 AM?\nAnswer: 12:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the first derivative of -5*k**9\/3024 - k**8\/336 + k**7\/84 - 7*k**3 + 23. Let w(r) be the third derivative of f(r). Suppose w(h) = 0. What is h?\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*sqrt(114) - sqrt(114) - sqrt(114))*2)\/(sqrt(150) + 4*sqrt(150)).\nAnswer: 6*sqrt(19)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 49\/18 and -71\/14397.\nAnswer: 86382","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4620 in 13, 2, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 775 * 4.1.\nAnswer: 3177.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 39 - 12. What is the greatest common divisor of b and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 20\/11, -3\/7, 787 in ascending order.\nAnswer: -3\/7, 20\/11, 787","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 405 minutes after 2:41 PM?\nAnswer: 9:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = y**2 - 7*y - 1. Let s be b(7). Let f = 2 - s. Suppose -f*u + 29 + 1 = 2*v, 0 = 2*v. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 12*h**2 + 46*h - 2. Give v(-4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -377186 - -128?\nAnswer: -377057","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -77150.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -334 (base 7) in base 2?\nAnswer: -10101100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -i - 1. Let u(l) = -4*l - 4. Suppose 27*p + 480 = 47*p. Suppose p*c - 9 = 27*c. Calculate c*b(n) + u(n).\nAnswer: -n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -26, -0.5, 1\/271034, 0 in decreasing order.\nAnswer: 1\/271034, 0, -0.5, -2, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.3 and 142?\nAnswer: -42.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -2*q - 0*q. Let p(y) = -y + 1. Let l = 128843 + -128844. Let k(g) = 9*g - 6. What is l*k(o) + q*p(o)?\nAnswer: -3*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0\/(3 + 2 + -3). Let g(s) be the second derivative of -s**4\/12 + s**3\/6 + 5*s**2\/2 - 3*s. Calculate g(t).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.349503km to millimeters.\nAnswer: 2349503","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 273 - 264. Suppose 3*y = -4*t - 7, n + 18 = 5*y - 3*t. Solve y*p - 8 = -4*i, 2*i + 5*p = 14 + 4 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 12 - 11?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*g - 4*d - 56 = 8*g, 0 = 4*d + 12. Let h(i) = -i**3 + 13*i**2 - 22*i - 7. Determine h(g).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3159691?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v**3 - 3*v**2 - 10*v + 2. Calculate g(5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3 + 1. Is (q + 8)\/((-3)\/(-6)) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -317, -423, -541, -677, -837, -1027?\nAnswer: -1253","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -2\/13 (b) -1 (c) 0.14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (18 - 9) + -27 + (-44 - -103).\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 6469.1 to the nearest one thousand.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - (9 - (2 - 3))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 3*a**2 + 8*a - 5. Calculate the remainder when c(-6) is divided by 18 - (-1 - 0\/(-2)).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the second derivative of -187*z**5\/20 - 11*z**3\/6 + 14*z**2 + 1372*z. What is the second derivative of k(y) wrt y?\nAnswer: -1122*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1174 + -663. Let n = o + -515.86. Round n to one decimal place.\nAnswer: -4.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-4)*((-13240)\/660 + (-2)\/(-33))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -96548*g + 4092 = -96610*g for g.\nAnswer: -66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.638369 millennia to years.\nAnswer: 2638.369","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/s**(-30))\/s)**(-44) assuming s is positive.\nAnswer: s**(-1320)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 97\/13266112 and -71\/3816?\nAnswer: 119395008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 1083, 1848, 2467, 2868, 2979, 2728, 2043?\n\"Answer: -12*p**3 - p**2 + 852*p + 244","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 575 is divided by 32.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 198\/(-55)*75\/(-18)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 478 + -207. Let h = -199 + n. What is the highest common divisor of h and 360?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(1*-6*((sqrt(121) - (2*sqrt(121) + sqrt(121) + sqrt(121))) + sqrt(121)))\/((1*sqrt(110) + sqrt(110))\/sqrt(10) + sqrt(22)\/(sqrt(2)*2)).\nAnswer: -24*sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = f. Suppose -18 = 58*c - 40*c. Let w(s) = 3 + 3*s - 3 + 2. Calculate c*w(u) + a(u).\nAnswer: -2*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(102) + (sqrt(102) - 2*sqrt(102)) + sqrt(102)) + (-2*sqrt(102) + sqrt(102))*2)\/(6*(sqrt(48)\/sqrt(32) - sqrt(6))).\nAnswer: 8*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -3179*w + 1689*w - 1183*w + 729*w - 3273*w as m + b*w and give b.\nAnswer: -5217","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -w**2. Let n(h) be the third derivative of h**4\/24 + 5*h**2. Determine n(t(l)).\nAnswer: -l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -11*r**2 - r**3 - 7 + 3*r**2 - r - 4*r**2. Let c be g(-12). Let k be (-1)\/(1\/(1 + -3)). Sort -6, k, c in descending order.\nAnswer: c, k, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (9*(-8)\/(-1386))\/((-45)\/(-21) - 3). What is the nearest to -2 in y, 0.4, 5?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of h**3 - 86*h**2*i + 104*h*i wrt h?\nAnswer: 6*h - 172*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 104*z**5 + 167*z**5 + 462*z**5 - 682*z**2 wrt z.\nAnswer: 43980*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -7*a + 121. Let l(z) = -60. Let u(t) = f(t) + 2*l(t). Let x(d) = -d. Calculate -u(c) - 4*x(c).\nAnswer: 11*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = -5*q + 5 + 3, -5*k - 8 = q. Is 8 < q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 3*x - 10 = 0. Suppose -4*f - p = 4*p - 96, f - x*p - 24 = 0. Suppose 0 = -4*g + 84 - f. Calculate the remainder when 40 is divided by g.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -345*(-14)\/(-70) + 40\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-16)\/(-56) - (1858\/(-14) - -2).\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7914837926 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = 5*x - 61 - 309, -3*x + b + 233 = 0. List the prime factors of x.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((2*sqrt(24) - sqrt(24))\/sqrt(4))\/(sqrt(2) - (sqrt(54)\/sqrt(3) + sqrt(18))).\nAnswer: -sqrt(3)\/5 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -f**3 - 35*f**2 - 189*f + 11. What is the units digit of s(-37)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in -1, 0, -0.3, -0.0601?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 1. Let a(y) = 3*y + 7. Suppose 13*n - 13 - 3 = -29. Let f be ((120\/4)\/5)\/1. What is f*b(j) + n*a(j)?\nAnswer: -3*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the first derivative of 71*d**2\/2 + 1. Let t be r(3). Suppose -t = -4*l + l. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((4*j - 6*j + 4*j)*(-2 - 2 + 1) + 0*j - 5*j + 0*j)*(2*j + 2*j - 3*j) to the form z*j + l*j**2 + p and give l.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -3*m**2 - 16*m - 16. Let w(j) = -6*j**2 - 31*j - 31. Let l be (-66)\/(-15) + 2\/(-5). Let d(h) = l*w(h) - 7*c(h). Determine z, given that d(z) = 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 2*p**3 - p + 1. Let c be z(1). Let y be (8\/(-30))\/(c\/(-3)). Which is smaller: 0 or y?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -10909\/2338 - 20\/167. What is the common denominator of 41\/204 and g?\nAnswer: 1428","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3147*h*z + 217748459*h - 358*z + 1 wrt z?\nAnswer: -3147*h - 358","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6833?\nAnswer: 6833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 10\/3? (a) 0.4 (b) 0.2 (c) 10 (d) -11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 15\/22769 and 44\/137.\nAnswer: 3119353","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 75 - 78. Let k(g) = g**3 + g**2 + 1. Let z(u) = -4*u**3 - 8*u**2 - 4*u - 2. Let r = -14 - -15. Let c(t) = r*z(t) + 3*k(t). Determine c(x).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 779471442?\nAnswer: 2, 3, 43303969","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14248672 is divided by 18.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Let p be (24\/30)\/(2\/25). Suppose 3*g - 3*a = 16 + 2, 0 = 5*g + 5*a - p. Is (55 - -1) + g + -5 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2c - -2908f?\nAnswer: 29063","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 19 + -17. Suppose 2*f - 5*q - 1033 = 0, -216 = -z*f - 5*q + 807. What are the prime factors of f?\nAnswer: 2, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 2*c + 27 = 3, 0 = 5*g - 3*c + 30. Find the common denominator of -151\/18 and (22\/g)\/(28\/36*4).\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = h + 21. Is h equal to -34?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -53*z = 51*z - 24*z - 80 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 2648 = -p + 2*v, -2*v = -4. Suppose -5*t + 2418 = p. What are the prime factors of t?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = -7*v - 31. Let w(h) = -4*h**3 - 6*h**2 - 9*h - 4. Let g(k) = 1 + 18*k**2 + 4 + 11*k**3 + 6 + 26*k. Let j(b) = v*w(b) - 3*g(b). Calculate j(-5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -306 divided by -56.\nAnswer: 153\/28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.62713596 to 3 dps.\nAnswer: -2.627","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 177710229*n. Let r(l) = 4*l. Determine r(f(y)).\nAnswer: 710840916*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 5 - 103300*h + 102870*h - 1.\nAnswer: -430*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3 - 8e?\nAnswer: -8b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2950, 13597, 31974, 58123, 92086?\nAnswer: 133905","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000206388086 rounded to seven decimal places?\nAnswer: -0.0000206","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 0.1, -2, 18.35, -3, 0.3 in descending order.\nAnswer: 18.35, 0.3, 0.1, -1, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1544021 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n - 14*k + 71 = -32*k, 0 = 2*n + 5*k - 65 for n.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + ((sqrt(24)\/(sqrt(64)\/(sqrt(8)*1) + sqrt(8)) + sqrt(300) + -2 + -1)*-1)**2.\nAnswer: -63*sqrt(3) + 1355\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (490\/(-70))\/(14\/(-12)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 38 + -20. Calculate the remainder when (-4)\/i - 114\/(-27) is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -93*w - 1 + 96*w**3 + 21*w + 21*w + 29*w + 20*w to the form f*w**2 + h*w**3 + z + c*w and give h.\nAnswer: 96","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-6)\/2*(-1)\/4. Let o = -7 - -8. Is o at least p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1089 (base 16) in base 12?\nAnswer: 2549","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 14*n - 34*n**2 - 21*n + 9*n + 2*n in the form h*n + v + z*n**2 and give z.\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:18 AM and 11:37 AM?\nAnswer: 19","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is fifteen quarters of a day in hours?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 222*s - 10*s**2 + 226*s - 675*s + 227*s.\nAnswer: -10*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one eighths of a litre in millilitres?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 134623?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6782, -7014, -7388, -7904, -8562?\nAnswer: -9362","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the third derivative of 0 + 1\/1080*b**6 - 1\/216*b**4 + 11\/540*b**5 + 0*b - 60*b**2 - 11\/54*b**3. What is a in j(a) = 0?\nAnswer: -11, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 11*a**4*x - 2*a**4 + a**3 - a**2*x + 51*a*x + 9*a wrt a.\nAnswer: 264*a*x - 48*a + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1\/(2*2\/8). Suppose -3*w + 6 = -3*z, 0 = -5*z + 2*w - 0 + i. Let o be z\/8 - 39\/(-12). Which is smaller: o or 4?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z - 2. Let y be q(7). Let v be (2 + -3)*8 - (-5 - -3). Let d be v\/(-5)*95\/57. Solve -d*k = y*l - 2*l - 5, -k = 2*l - 4 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q = -5*f + 3*q + 32, -5*f + 36 = -4*q. Let w(x) = -2*x + x**2 - 7*x + f + 8*x. Let j be w(0). Solve j*u = -2*a + 8*u - 2, -3 = 3*a + 5*u for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -270675155*w**4 + 237983291 wrt w.\nAnswer: -1082700620*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 763, 789, 831, 895, 987, 1113, 1279, 1491?\nAnswer: 1755","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -j**3 + 16 + 139*j**2 - 75*j**2 - 60*j**2 to n*j + l*j**2 + m*j**3 + f and give l.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - d = -p - 17, -5*p = -3*d. Suppose -d*b + 4 - 32 = -2*t, 3*b = 0. Is (1 - 5) + 1330\/t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = i**3 + 33*i**2 - 41*i + 775 - 28*i - 740. Let n be k(-35). Solve -5 = -5*l, 0 = -n*w - 4*w - l - 7 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 411312 = 6*o + 2*a, 616958 = 3*o + a. Suppose 16186621 = 3*v + o. Let n = v + 4973010. What is n rounded to the nearest 1000000?\nAnswer: 10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31*h**3 + 123449*h - 123449*h.\nAnswer: 31*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*h + 5*m + 2257, -h - 2*h - 2*m = -3433. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the third derivative of 5*n**2 + 0 - 1\/40*n**6 + 1\/12*n**5 + 0*n**3 + 0*n + 0*n**4. What is the third derivative of z(r) wrt r?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1 - -16. List the prime factors of s.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*s - 2*s - s)*(4*s**2 - s**2 - s**2) + (0*s + 0*s + 3*s**2)*(-11198*s + 559 + 5596*s + 5600*s).\nAnswer: -4*s**3 + 1677*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -1\/3, -0.03, 2\/7, -1\/4?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*r - 4*r = 2. Let d = -45 - -92. Calculate the remainder when d is divided by (-4 + 19)\/r + -3.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 7 in 3\/11, -5, -1, -0.0018, 1\/4?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve s - 3*k - 25 = 0, -29 + 112 = 7*s + 2*k for s.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-15))**(-14)\/(t**3*t**(-6\/11)) assuming t is positive.\nAnswer: t**(2283\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -2*m**2 - 16*m. Let b(f) = f - 2. Let a(x) be the first derivative of -3*x**2\/2 + 7*x - 44. Let t(z) = 4*a(z) + 14*b(z). What is u(t(d))?\nAnswer: -8*d**2 - 32*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) be the first derivative of -11 - 13\/2*y**2 + 14*y. Find the first derivative of x(g) wrt g.\nAnswer: -13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 83, 159, 235?\nAnswer: 311","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6*f**2*j*m - 4*f**2*m**3 - 29*f*j*m - m**3 wrt f.\nAnswer: -12*j*m - 8*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 802 to the power of 1\/2, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (518\/(-3626))\/(-2 + 2728\/(-574)) and 61\/22?\nAnswer: 21318","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 65*m - 1. Let z be s(1). Let o be 2 - 3 - (-1 - 2). Suppose 2*u + o*u - z = 0. Calculate the highest common factor of u and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 7*u. Let j(x) = 900*x. What is q(j(s))?\nAnswer: 6300*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/15)\/((-7)\/(-5))?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/19, 0.059, -2, -4, -7, 0.02.\nAnswer: -7, -4, -2, 0.02, 0.059, 3\/19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -23241, 1, 0 in increasing order.\nAnswer: -23241, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 57\/5 of a kilogram in grams?\nAnswer: 11400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (50\/(-28))\/(-5)*(-5256)\/(-6570)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6.3 + 6.6. Sort 4, 0.5, m, 0 in increasing order.\nAnswer: 0, m, 0.5, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h*h**(-18))\/h)**(-21) assuming h is positive.\nAnswer: h**357","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1937 and 65.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8865*h - 8852*h = 139 - 22 for h.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 34, 3, -18, 0.3 in ascending order.\nAnswer: -18, 0.3, 2, 3, 34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = 2*k + 9. Suppose 3*s = -2*u + 273, -k*s - 2*s + 364 = -2*u. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve z + 20 = 4*g, -1040460*g + 1040462*g - 10 = -4*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -r - 4. Let s be q(-7). Which is the nearest to -1? (a) -0.3 (b) s (c) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 + -2 + (0 - -20) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (2996\/490 - 6)\/(4\/30). Let g = 38\/35 - 4\/5. Factor 4\/7 + k*b + g*b**2.\nAnswer: 2*(b + 1)*(b + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.4 - -0.3. Let b = 9.9 - 9. Let q = -0.9 + b. What is the biggest value in 0.3, k, q?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 206*p. Let d(z) = -6*z. Give d(m(y)).\nAnswer: -1236*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4.1 + -4.5. Suppose -4*x = -g - 17, -5*x + 5*g = -0*x - 10. What is the nearest to h in -5, x, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aa when two letters picked without replacement from {y: 2, g: 9, a: 7, n: 1}?\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out -22205591328424 - -4.\nAnswer: -22205591328420","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7186 to the nearest integer?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/34*((-64)\/8)\/(-8).\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = f**2 + 2*f + 10. Calculate z(0).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 22637?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a day in seconds?\nAnswer: 8640","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 y when two letters picked without replacement from jqwmyjd?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 250 divide 269872?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 n when three letters picked without replacement from nunnf?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 68450 - -99651. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 17 + 2*w + 18)*(-36*w + 16*w - 20*w)*(w**2 - 2 + 2) to h*w**3 + s + u*w**2 + f*w**4 + c*w and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1262 + 1898. Suppose -w + 367 = 3*n, -3*w + 441 = n - r. What is the units digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (2 + 2 - 2) + -17. What is the lowest common multiple of 12 and 8*(a\/(-6) + -2)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.01 and 368.2.\nAnswer: -3.682","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by 12447737.\nAnswer: 2\/12447737","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 205 and 123?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -2*m**3 - 5*m**2 + 3*m + 5. Let b(u) = -3*u**3 - 6*u**2 + 4*u + 6. Suppose -g - 9*g - 50 = 0. Give g*b(d) + 6*l(d).\nAnswer: 3*d**3 - 2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2 - 1. Let m be -2*d\/(-30)*3. Let j = 43 - 38. Put m, j, -2\/3 in increasing order.\nAnswer: -2\/3, m, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, a: 1, e: 2, x: 1}. Give prob of picking 1 x and 1 a.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1085)\/62*(-8)\/10.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -628 + 1664. List the prime factors of 100\/8*s\/35.\nAnswer: 2, 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 266841?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express b**3 + 1 + 477*b**2 - 952*b**2 + 474*b**2 - 3*b**4 as h*b**4 + x + u*b**2 + m*b**3 + j*b and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 89778 and 994464?\nAnswer: 12928032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -1084*j + 4. Let y be t(6). Round y to the nearest 1000.\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 5*o**3 + 3*o**2 - 11*o + 39. Let k be b(3). Suppose k = 7*d - 7. Solve -4*m + d = -3*j, -j - 14 = -3*m + 1 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(-2\/11)\/y*y\/(((y*(y*y**(-7\/5))\/y)\/y)\/y)*y assuming y is positive.\nAnswer: y**(177\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-1\/2))**13*i**(2\/3)*i\/(i\/(i*i**(3\/29)*i*i)*i) assuming i is positive.\nAnswer: i**(-649\/174)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3 + 30?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + k - 2 + 155*k + 144*k - 510*k + (5 - 5 + 1)*(4*k - 2*k - k) + 0 + 0 - 2*k)*(2 + 0 - 1) + 2 - 2 - k - 2*k + 1 - 1.\nAnswer: -214*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**7*z**(-2)*(z*z**(-2\/7)*z)\/z*z*z*(z\/(z\/z**3))\/z)\/((z\/(z*z**(2\/7)*z))\/z**(-1\/10)*((z**(-4)*z)\/z)\/z**7) assuming z is positive.\nAnswer: z**(219\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -252220 divided by -63055\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 4*o - 25 = 0, -4*y - 83*o + 84*o = -16. What is the highest common divisor of 723 and y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2014.1 + -2014. Which is the nearest to -3? (a) -3\/7 (b) l (c) -2\/17 (d) -3\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-32 + 33)\/((-1)\/(-248)). Calculate the greatest common factor of 8 and a.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**5\/(y*y**(1\/12)) assuming y is positive.\nAnswer: y**(47\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fuuu when four letters picked without replacement from ffuu.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 109 is divided by 23.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the third derivative of -w**8\/56 - 7*w**4\/24 + 3*w**2. Find the second derivative of q(z) wrt z.\nAnswer: -120*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 462 divide 203726292?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*z - 3*h + 3157, -5*z - h - 391 = -3540. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(2 + -4*1*sqrt(343) + -2 + 2)**2.\nAnswer: -27460 + 560*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -5*n. Let k(z) = 967200*z**2. Give k(p(u)).\nAnswer: 24180000*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 78 and 10?\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 30 and 594?\nAnswer: 2970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13*p**2 + 29*p**2 - 79*p**2 - 58*p**2 to the form n + l*p**2 + u*p and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -1, -2426, -7 in increasing order.\nAnswer: -2426, -7, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (19 - 4*a + 6*a - 2)*(-7*a + 5*a + 12*a) + 1 + 0 - 7 - a**2.\nAnswer: 19*a**2 + 170*a - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -u**3 - 3*u + 8. Let j be x(-4). Suppose -j = -d - 3*d. Suppose -8*v = -171 - d. Is 5 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5 + -143366?\nAnswer: -143361","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*o**3\/5 - 528*o**2\/5 - 57844*o\/5 - 880992\/5 = 0. What is o?\nAnswer: -56, -19, 207","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 36 + -1 + -22 - 23 - (1 - -4)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*g = 160 + 15 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -z**2 - 13*z + 63. Let o(y) = -y**2 + 15*y. Give j(i) + o(i).\nAnswer: -2*i**2 + 2*i + 63","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7882 = -299*f - 1304 for f.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 83.881 + 0.119. Let m = 83.99999334 - g. Round m to seven decimal places.\nAnswer: -0.0000067","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -6*t**2 + 46*t + 71. What is u(8)?\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -cc9c2 (base 13) to base 16\nAnswer: -5a857","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -18 + 28 + (1 - 23). Suppose 5*r - 2*r = -42. Which is bigger: r or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3815*b**4 - 2204*b**2 + 2*b wrt b?\nAnswer: 91560*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**2\/3 - 97*a\/3 + 124.\nAnswer: (a - 93)*(a - 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2540 a factor of 1020914900?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 4*y = -y + 31, -5*j = -5*y + 15. Suppose -j*m - m - 2499 = -2*s, -3745 = -3*s + m. Is (-3)\/15 - s\/(-15) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -266 (b) 2 (c) -0.101 (d) -0.52\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that -4*o**4\/5 + 5118*o**3\/5 + 7744*o**2\/5 - 74358*o\/5 + 15372 = 0.\nAnswer: -5, 3\/2, 2, 1281","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -21828.211695 - -21828. What is w rounded to 3 dps?\nAnswer: -0.212","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 107404?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -883 * -0.030757\nAnswer: 27.158431","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m**3 + 7*m**2 + 16*m - 60. Let d be o(8). Solve 2*t = 4, 21*c - d*t = 17*c - 24 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 (base 8) to base 9\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (13880\/330 + -7*4\/462)\/(3\/(-10))?\nAnswer: -140","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.01 and -0.246549.\nAnswer: -0.256549","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.02 + -0.64. Let a = -212.22 - -212. Let t = m - a. What is the closest to 0 in -6\/5, t, 4?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-330)\/(-88)*((-38)\/(-10) + 3 + -2).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*j - 12 - 0. What is the derivative of -j*w**3 + 3*w**3 + 5*w**3 - 4 wrt w?\nAnswer: 6*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-2\/11)*q*((q\/q**(-4)*q*q)\/q)\/q)**(-5\/11) assuming q is positive.\nAnswer: q**(-320\/121)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1575 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(112) + -5 - (sqrt(35)*-2 - sqrt(35))\/sqrt(5)) + -3*2*sqrt(1008) + 5 + 5 + -1.\nAnswer: -65*sqrt(7) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*u - 2*u + u**3)*((2 - 3 + 2)*(1 + 5 - 5) + 19 + 27 - 12)*(-1 + 4 - 2).\nAnswer: 35*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -13a92d (base 14) in base 12?\nAnswer: -28aa39","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v**4\/8 - 75*v**3\/4 + 387*v**2\/2 + 4131*v\/4 + 6561\/8 = 0. Calculate v.\nAnswer: -3, -1, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (-182*n**2 + 13*n**2 - 171*n**2)*(4*n - 2*n - 5*n) in the form c*n + w*n**3 + b*n**2 + l and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19927441?\nAnswer: 379, 52579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the first derivative of -d**2\/2 + 2*d - 9. Let b be o(-1). Solve b*c + 2*q = -0*c, -5*c + 25 = -5*q for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = s + 5*m - 1, -153*s + 151*s + 7 = 5*m for s.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is five sixths of a decade in months?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -7 + 4. Suppose -81 = 3*x - 12*x. Suppose n - 29 = 5*v, v - 2*n = -n - x. Put -2, v, a in decreasing order.\nAnswer: -2, a, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 282.\nAnswer: 2, 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/(-42))\/((-9)\/(4095\/26)).\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:32 PM and 6:56 PM?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.25 + -0.15. Which is the closest to g? (a) -0.3 (b) 5 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 23904 by 144.\nAnswer: 166","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -6*r**2 - 7*r + 6. Suppose -c + 0 = 4*y + 2, -4*c = 3*y - 5. Let u be 1 + 0 + 3 - y. Let s(w) = w**2 + w - 1. Determine u*s(b) + k(b).\nAnswer: -b**2 - 2*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -17016 - -17021. Which is the nearest to -2? (a) 1.6 (b) w (c) 3\/2 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 3*j + 42. Suppose 0 = -10*r - 23 + 63. Let b(w) = 6*w + 82. Let p(d) = r*b(d) - 7*c(d). Find the first derivative of p(k) wrt k.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -107, -151164, -4 in decreasing order.\nAnswer: -4, -107, -151164","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1333 is divided by 78.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a\/a**(-1\/5)))**(37\/2) assuming a is positive.\nAnswer: a**(-37\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -142, -282, -422, -562, -702?\nAnswer: -842","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5 - 14. Let l(z) = 6*z + 4. Let f(r) = 17*r + 5. Let b(k) = -16*k - 6. Let s(y) = -4*b(y) - 3*f(y). Let a = 4 + 0. What is a*s(q) + d*l(q)?\nAnswer: -2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (1 - -6) + ((-5)\/(-3))\/((-168)\/504). Solve 10 = -4*u - 3*f, -2*u = -t*f - 9 + 7 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*r - 422730 = -51*r - 55*r. Does 5 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*c + 17*m - 15*m + 694, -2*c + 2*m = -464. Calculate the remainder when c is divided by 49.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34*o**3 - 20*o**3 - 17*o**3.\nAnswer: -3*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of 386?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (483 + 42*h - 89*h + 50*h)*(2*h**3 - h**3 + 0*h**3).\nAnswer: 3*h**4 + 483*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -222 or 1.2?\nAnswer: 1.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1149.982002 + 2.616998. Let b = -1152 + t. Round b to 1 dp.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 18700 + -18699. Let v(f) = f**3 + 1. Let x(s) = -40*s**3 + 2*s**2 - 4. Determine l*x(n) + 4*v(n).\nAnswer: -36*n**3 + 2*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4059154*c**6 - 2560179*c**2?\nAnswer: -487098480*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(432) - (sqrt(432) + -2 + 1)**2.\nAnswer: -433 + 36*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1076759 and 93873.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23 + 19 - 5*l + 7*l - 42.\nAnswer: 2*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10210 + -11221020220?\nAnswer: -11221101200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1128550.4 rounded to the nearest 1000000?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 24 - 28. Let n be 1 - ((-46 - q) + 2). Suppose -w = 3*b - n, 5*b - w - 65 = -2*w. Which is bigger: 11 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + (-2 - 3 - (-1 + -2)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 97936638 is divided by 1216.\nAnswer: 1214","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, e: 1, r: 1, y: 3, j: 1}. What is prob of sequence ej?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 620179 and 57323?\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u - 20 = 0, -4*u - 18 = 2*r - 0*u for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 53 - 53. Solve 3*s = -w*s + 15 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-959)\/42*10 - (-3)\/9. Let b = f + 793. Does 25 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o**2 + 49787*o - 33190 = 0. Calculate o.\nAnswer: 2\/3, 16595","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 15, 2, 3, 1, -63391 in descending order.\nAnswer: 15, 3, 2, 1, -63391","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 12613425 (base 8) to base 3\nAnswer: 12022110202000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 108 - 175. Let k = -95 - f. Let w = 51 + k. List the prime factors of w.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-36)\/(-10))\/(21\/140). Suppose -3*p = -7*p + 144. What is the highest common factor of p and n?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37 + 268 = 5*j. Suppose 22 - j = -3*w. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 141068?\nAnswer: 2, 35267","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 327689?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5 (base 12) to base 16.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 17\/102*27\/42*12\/(-9)\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-53 - 0) + 3280647\/59784?\nAnswer: 15\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/212, -4, -2?\nAnswer: 1\/212","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 605?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 1858, -3, -1\/7 in descending order.\nAnswer: 1858, -1\/7, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -65 + 70. Suppose 4*n - r*g = 21, 3*n - g - 2*g = 12. Which is greater: -5 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*n**4 - 12*n**3 - 18*n**2.\nAnswer: -2*n**2*(n + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.001499 to 4 decimal places.\nAnswer: 0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 2*k - 7. Let u be ((-5)\/(-4))\/(2\/16). Let p(j) = -5*j - 1. Let h be p(-1). Solve -u = -h*s - k for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 579576 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that s**3\/7 + 13542*s**2\/7 - 747781*s\/7 + 734238\/7 = 0.\nAnswer: -13597, 1, 54","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -200*(-9)\/((-162)\/45). Let u = -500 - q. Let a be 9\/((-1)\/((-1)\/8)). Which is smaller: u or a?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three sixteenths of a hour in seconds?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24184 is divided by 28?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 527.890104 minutes in weeks?\nAnswer: 0.05237005","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -175304 less than 0.8?\nAnswer: 175304.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 1135171617 divided by 11217\nAnswer: 101201","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 2*d - 52. Calculate g(25).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -19\/7 - -22\/7. Let l = 1 + 0. Let w = 0.3 + 0.2. Which is the third smallest value? (a) y (b) w (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4216*r**5 - 2*r + 1463.\nAnswer: 84320*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -51 + 87. Let z be 46\/115 - q\/(-10). Suppose z*c + 4*g = 4, 0 = 5*c - 2*c + 4*g - 2. Solve -2*f = c*f - 8 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*v = 18 - 18. Suppose 4*c - 2*t - 14 + 2 = v, 0 = 3*c - 4*t - 14. Factor 8\/5*u + 2\/5*u**3 + 0 + 2*u**c.\nAnswer: 2*u*(u + 1)*(u + 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-5)\/4)\/1)\/(162\/(-178848)*-92).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = 4*k + 17. Let a(r) = -r**2 + 2*r + 3. Let p be a(3). Does p = k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 787277857?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 6990000 to the nearest 1000000.\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -652881*k**2 - 652873*k**2 + 1305758*k**2.\nAnswer: 4*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 1 - 2 + (-4 - 1 + 3)*(-1 - 3 + 2))*(1 - 1 - 1)*(12*d**3 - 18*d**3 - 21*d**3) in the form v*d**2 + i + c*d**3 + x*d and give c.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 q and 1 a when four letters picked without replacement from {b: 6, z: 2, q: 3, a: 2, p: 1}?\nAnswer: 2\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8 - 8. Let x = 40 + -77. Let d = x - -39. Which is the closest to -1? (a) t (b) -1\/6 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 4*i - 4 = 0, 7 = 4*i + 3. Suppose o = -3*x + 56 + 4. Suppose 3*s = k + 4 - 26, 0 = 5*k + 3*s - x. What is the remainder when 20 is divided by k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 103*o**3 - 663*o**3 - 52 + 52 + 281*o**3 + 285*o**3.\nAnswer: 6*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Is 334003 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1971 and 511?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 7616 <= 7616?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 30107 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 56137?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*i**2 + 2526010*i + 319036326005.\nAnswer: 5*(i + 252601)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) 2\/3 (b) 1\/2 (c) -1871 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -207*g. Let f(b) = -50*b - 14*b + 111*b - b. Determine f(s(q)).\nAnswer: -9522*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 134412125 - -1?\nAnswer: 134412130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of g**5*k**3 + 109*g**5*k - 2*g**2 + 123*g*k**3 - k**3 wrt g.\nAnswer: 60*g**2*k**3 + 6540*g**2*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15*v + 0*v - 19*v)*(v**3 - 3*v**2 + 3*v**2) + 2*v**4 - 5*v**4 + 5*v**4.\nAnswer: -2*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*y - 1 + 5 + 6 + (4 + 2*y - 4)*(-5 + 4 - 1).\nAnswer: -2*y + 10","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-4\/9)\/z**5)\/(((z*(z**(2\/35)\/z)\/z*z*z)\/z)\/(z\/z**(4\/11))) assuming z is positive.\nAnswer: z**(-16858\/3465)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 17 + 9a3036?\nAnswer: 9a3052","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 108 = -p + 6*p, 0 = -2*q - 5*p + 24. Let t = -15 + q. Suppose 24 = t*c - 3*c. Calculate the remainder when 17 is divided by c.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.791 - 0.199. What is h rounded to one dp?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47*s + 9*s = 5472. Let j be (-85)\/(-9) + s\/324. Solve 2*z - j*z - 28 = 0 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2670 + 5651*m + 2*m**2 + 2941*m - 1471*m wrt m?\nAnswer: 4*m + 7121","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*j**2*v - 5719*j**2 - 9*j*v + j + 7*v - 3 wrt j?\nAnswer: 8*v - 11438","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*a + 12*a - 9*a + 1865*a**2.\nAnswer: 1865*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -415 + 414.9999962. What is x rounded to seven decimal places?\nAnswer: -0.0000038","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18297962 divided by -1?\nAnswer: -18297962","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7584, 15182, 22780, 30378, 37976, 45574?\nAnswer: 53172","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4421325 divided by 884265.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0, 8, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = -4*n + n + 2*y, -3*n = -3*y + 12 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7 - 9. Let y be 0\/((i\/(-1))\/(-1)). Is 0 > y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 38 + -27. List the prime factors of w.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-15)\/(-25))\/((-1)\/(-25)). Let q be r\/10 - 8378\/5588. Let k = q - -115933\/25146. What is the common denominator of k and 33\/20?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1\/(-5))\/(57\/(-285))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:49 AM and 4:31 PM?\nAnswer: 402","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = r**2 - 23*r - 48. Let z be d(25). Solve u + p = 3*u, -6 = z*u - 4*p for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 5 = 0, 0*i - 128 = -c - i. What is the units digit of c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve s + j - 8 = -3*j + 2*j, -10 = -2*s - 14*j + 11*j + 2 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1 + -29601?\nAnswer: -29600","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1 - 5 + 25*i - 20*i**2 - 11 + 7 + 5*i**3.\nAnswer: 5*(i - 2)*(i - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jej when three letters picked without replacement from llljejjej?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = 4*o - 295, 3*q - 43 = 3*o - 280. Let m be (-2)\/(-14) - 4\/(-28)*o. Suppose -217 = -2*t + m. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h, 1 r, and 1 a when three letters picked without replacement from {a: 10, h: 6, r: 2}.\nAnswer: 5\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2492 - -408. What are the prime factors of h?\nAnswer: 2, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -3*(-3)\/(-2)*40\/(-30). Suppose w*t = 15 - 3. Solve -2*y + 8 = -3*v, 0 = -5*y + t*y - 5*v + 12 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1215636*t**2 + 750682 wrt t?\nAnswer: -2431272*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + (-2 - -7) + -9?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5\/8 + -19\/56. Which is the closest to -4? (a) -0.3 (b) 5\/2 (c) -3 (d) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/2 of a gram in milligrams?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 502 minutes before 11:37 PM?\nAnswer: 3:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 99 and 759?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 272 = 3*x - 5*g, 25*x - 155 = -111*x - 2*g + 285 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) be the third derivative of x**8\/3360 + x**7\/1260 - x**6\/360 - x**5\/60 + x**4\/24 + 3*x**2. Let o(l) be the second derivative of d(l). Factor o(w).\nAnswer: 2*(w - 1)*(w + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -26 or -17\/10?\nAnswer: -26","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 52 or 53737?\nAnswer: 52","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1037065 to the nearest integer?\nAnswer: 1018","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-70 - 2) + 35 + -42 + -25?\nAnswer: -104","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -11 + -37?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.1 and 149024.\nAnswer: -14902.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -c**3 + 9*c**2 + 14*c - 38. Let f be z(10). Let o(g) = -4408*g + 0 + 3*g**2 - 4414*g - 1 + 8821*g. Give o(f).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 12\/(-20) + (-23)\/(-5). Suppose -x + 135 = u*x. Is x a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(5) - (sqrt(30)\/sqrt(24))**2).\nAnswer: sqrt(5) + 15\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - 6\/(-24)*(-8 + 36).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 84*t - 1056. What is the lowest common multiple of 288 and n(19)?\nAnswer: 4320","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*z - 3*l - 41 = 13*z, -5*z = -4*l - 53 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the first derivative of 6 - 9\/16*o**4 + o**3 - 3\/5*o**5 + 0*o + 3\/2*o**2 - 1\/8*o**6. What is p in z(p) = 0?\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 147 - (67 + 69) - (10 - -1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 434233?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 2\/13, 62 in increasing order.\nAnswer: 0, 2\/13, 62","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -3*k**2 + 192*k + 189. Let a be s(65). Let u(o) = -2*o - 2. Let h be u(-5). Let m = a + h. Solve 4*z + 3 = -3*n, -2*n + 11 = -3*n + m*z for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 115921470 and 115921471 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 187 divided by -668107.\nAnswer: -17\/60737","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n**2 - 3*n. Let y be r(-4). Let x = 486 - 487. Put -5, x, y, 3 in ascending order.\nAnswer: -5, y, x, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (10\/(-15))\/(3\/(-18)). Suppose -h*i = -9*i - 25, 21 = 2*g + 3*i. Solve 4*v + v - g = -u, -5*u - v - 6 = 0 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -607 * -0.01.\nAnswer: 6.07","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(1080)*-3)\/(sqrt(66)\/(-3*sqrt(1331))).\nAnswer: -1782*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 508 divided by 5\nAnswer: 508\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -82 + (68 - 1 - 35)\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 56.3 + -56. Which is the second smallest value? (a) 1 (b) -9 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -84? (a) -1\/4 (b) -0.4 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -3, 5, 1106 in ascending order.\nAnswer: -3, 4, 5, 1106","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 3, l: 2, x: 1, c: 3, j: 1, v: 3}. What is prob of sequence clx?\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2 + -1)*1\/(-3). Suppose 3*p + c = 7. Solve 2*w - 11 = -g, -3*w = -p*g + g - 14 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 59 minutes before 1:13 AM?\nAnswer: 12:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 minutes before 7:14 PM?\nAnswer: 7:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence se when two letters picked without replacement from nkekkknskessenkkkkk?\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -y**3 - 10 - 12*y**2 + 4*y + 7*y - 12*y. Let v be h(-12). Suppose -v*z + 5*b - 95 = -4*z, -4*z + 3*b + 177 = 0. Is z a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 != -14?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 20043213 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10251, -11276, -12973, -15336, -18359, -22036, -26361?\nAnswer: -31328","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) be the second derivative of n**3\/3 - 9*n**2\/2 + 3*n. Let x be k(6). Suppose -c - 22 = -x*c. List the prime factors of c.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 21 = 4*q, -2*q - 3*a = 7 - 22. Let 241*d**5 + 364*d**5 - 24*d**4 + 40*d**2 + 1454*d**4 + 460*d**q = 0. Calculate d.\nAnswer: -2, -2\/11, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 90372552 and 18?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4864 and 206606.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that -2*o**2 - 5*o\/4 + 3\/4 = 0.\nAnswer: -1, 3\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 118735062 to the nearest integer?\nAnswer: 492","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6707784906?\nAnswer: 2, 3, 23, 5400793","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 2*z = -11, 2*n - 2*z - 3 = 11. Suppose -w + n*t + 52 = w, t + 44 = 2*w. Let s(a) = a**2 + 2*a + 3. Let g be s(-3). Solve g*c = 2*c - w for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 87b6 + -3?\nAnswer: 87b3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 6 + (4 - 16) - -1\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14718 is divided by 474.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6\/29191 + 1431499\/5546290. Find the common denominator of z and -53\/8.\nAnswer: 760","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-20)\/(-25))\/(1\/40). Suppose -35*u = -z*u - 1821. What are the prime factors of u?\nAnswer: 607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.009307288985 and -0.8.\nAnswer: -0.809307288985","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 800873569 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 3*n = -96. Let d = -5 + n. Is 5 a factor of d - (0 - 1)*3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*m - 2*d + 4*d - 6, 0 = -m - 2*d + 6. Let k be 1*((-36)\/15 - 12\/20). Sort k, -1, m in descending order.\nAnswer: m, -1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 156 and 1794.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 1.6114 times -8445\nAnswer: -13608.273","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -88001 to the nearest ten thousand.\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 206 a factor of 425802?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4860*q - 5999*q - 10325*q - 1177*q to the form n + u*q and give u.\nAnswer: -22361","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 9\/(-10)*20\/(-30). What is the closest to -1 in s, -2\/9, 0.1?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1036 - -1481.5. Let h = -446 + z. What is the closest to 1\/3 in 0, h, 9, -0.2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-3)*m**(1\/5))**(-6\/5) assuming m is positive.\nAnswer: m**(84\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z**2 + 20*z + 103. Let d be v(-10). Solve 2*w + 22 = 3*l, -3*l + 2*w - 5*w = d for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3 + 10. Suppose 10 = -n*l + 2*l. Let s be 36*1*l\/(-4). Calculate the highest common factor of s and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(5 + (sqrt(5) - (-2 + sqrt(5) + sqrt(5))) + sqrt(5) - sqrt(5)).\nAnswer: -7 + sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2425334 - 5025?\nAnswer: 2420305","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1606857890?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -6c33 + -2?\nAnswer: -6c35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 1\/4 (b) -65\/23 (c) -0.04 (d) -1 (e) 0.4 (f) 2 (g) -44\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (21\/(-35))\/(1\/(-5)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 11, f: 2, b: 2}. Give prob of picking 1 p and 2 f.\nAnswer: 11\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 23202 (base 6) in base 7?\nAnswer: 12443","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5783241 - 5783252.899953. Let i = -11.9 - s. What is i rounded to four dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15204*f = -5*n - 15209*f + 5, 3 = 116*n + 3*f for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Is 467 a factor of 2106170?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = x**2 - 17*x + 36. Let a be c(15). Let t(y) = -a*y + 8*y + 5 + y + 2*y + 2*y**2. Let b be t(-2). Solve -u - 1 - b = 0 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -u**2 - 13*u - 8. What is f(-10)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 1262 = -3663 - 2510. What is the remainder when q is divided by 165?\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1 - 226c?\nAnswer: -2270","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 184 = 692. Let d = -5 - x. Let s = 555 + d. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 26*b - 1053*b**2 - 1054*b**2 - 1053*b**2 + 3158*b**2 + 2 as h + k*b**2 + l*b and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (198\/22)\/3 + (-4252)\/(-2)?\nAnswer: 2129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1144 and 33?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(19)*1 + 0 + 5 - (-4*(sqrt(19) - sqrt(171)) - sqrt(133)\/(sqrt(21)\/sqrt(3))))**2.\nAnswer: -80*sqrt(19) + 1241","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*h**2*n**3 - 3*h**2*n**2 - 11*h**2 + 849*h*n**3 - 87*n**2 + 1 wrt n?\nAnswer: 18*h**2 + 5094*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 8*g + 220. What is h(-18)?\nAnswer: 76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 1 + 0)*((-4*d - 2*d + 4*d)*(-3 + 1 + 4) + 15*d + 42*d + 24*d).\nAnswer: 77*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1412177 is divided by 2802?\nAnswer: 2771","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/16 - ((-1)\/(-3))\/((-152)\/2337). Solve 40 - 5 = k*g for g.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o + 6 = 3*o - 2*l, 0 = 2*o + 4*l - 4. Find the third derivative of 4*s - 3*s**2 + o*s**3 - 4*s + 0*s wrt s.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 + 10 = 2*q. Let m(n) = -15*n - 40. Calculate the remainder when 6 is divided by m(q).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1.3 + -0.7. What is the closest to q in -4, -2\/7, 4?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/(-15))\/((12\/4)\/6)?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -3*k**2 + 17*k + 2543. Give a(32).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = 4*l + 2*x + 2508, 4*l + 2503 = -3*x. Is l greater than or equal to -622?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-875)\/(-60) + -3 + 1\/(-3). Factor -7*i**3 - m*i**2 - 1 + 7*i + 49\/4*i**4.\nAnswer: (i - 1)*(i + 1)*(7*i - 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -78560*d**5*i**3 - 2401*d**3 + 4*d*i**3 - 1378632*d + 6*i wrt d?\nAnswer: -1571200*d**3*i**3 - 14406*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 33*f**2*l**4 - 16*f**2*l**2 + 18*f**2*l + 49*f*l**4 + 10*f*l**2 wrt l.\nAnswer: 792*f**2*l + 1176*f*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 17 and 139.\nAnswer: 2363","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -123 + 123 - 21*m**2.\nAnswer: -21*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -2.1982 * -3\nAnswer: 6.5946","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 972 and 180.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*((sqrt(198) - ((sqrt(198) - (-4*sqrt(198)*-2 - sqrt(198))) + sqrt(198))) + sqrt(198)))\/(-2*-1*sqrt(1331)).\nAnswer: 21*sqrt(2)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -5038*x + 15120. What is v(3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11575*g**2 - 23267*g**2 + 11606*g**2.\nAnswer: -86*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 95 - 6*j - 49 - 2*j - 47*j + 2*j**2. Let f be b(27). Solve -3 = -6*a + 9*a, a - f = -5*t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 341 + -336 - (4 + 11 - 3)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l + l = 2. Find the third derivative of o**2 + 0*o**2 - l*o**4 - 3*o**4 + 3*o**4 wrt o.\nAnswer: -48*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -13*z**3 - 8*z**2 - 2*z - 11. Let k(v) = 7*v**3 + 4*v**2 + v + 6. Let b(m) = 3*c(m) + 5*k(m). Let t = -27 + 24. Is b(t) a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vvvvmvmv. Give prob of picking 1 m and 3 v.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -43194*z**3 - 40432*z**3 + 83703*z**3.\nAnswer: 77*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 2 = 87. Does 7 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.27 + 0.03. Let z be (-2460)\/210 + (-10)\/35. Put 1\/5, q, z in descending order.\nAnswer: q, 1\/5, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the third derivative of -1\/6*a**4 + a + 1\/2*a**3 + 1\/30*a**5 + 0 + 108*a**2. Give p(3).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*c + 3*f - 18 - 12, -f + 2 = 0. Find the second derivative of 2*q - 4*q + 3*q**4 - c*q**2 - 557 + 534 wrt q.\nAnswer: 36*q**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3421286440 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: Calculate -3 + 690\/280 - 2\/(-8).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 37268*r + 186254. Calculate p(-5).\nAnswer: -86","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-24))\/(52\/14*1218\/1392)\nAnswer: -1\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 309649 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*k + 4*p - 16, 7*k + 4*p - 14 = 6*k. Solve -5*v + 5*q - 20 = 0, -2*v + 3*v + k*q = 8 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - a = 5*x - 37, -a - 5*x = -22. Let w = 0.613 - -51.587. Let u = -52 + w. What is the nearest to 2\/7 in a, u, -4?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*j + 923*j**2 - 311*j**2 - 307*j**2 + 4*j - 311*j**2.\nAnswer: -6*j**2 + 4*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2010 - -2009.999133. What is f rounded to 5 dps?\nAnswer: -0.00087","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*2*(sqrt(187)\/sqrt(99) + (sqrt(612) + 0)**2).\nAnswer: -4896 - 8*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 259779?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 66 = -3*l + 225, -5*j = -3*l + 411. Let z be (-1)\/(-3) + 19480\/j. Let s = z - -231. What is the smallest value in s, 0.3, -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*w + 624*m - 619*m = 23, 0 = -w + 3*m - 6 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5*g**3*p**3 + 797*g**3*p**2 - 2*g**3 + 2*g**2*p**3 - 99*g**2*p**2 - 3*g**2*p + 5*g*p**3 - g*p**2 wrt g?\nAnswer: -30*p**3 + 4782*p**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 101010100201220 (base 3) to base 5\nAnswer: 2334134212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 471 a factor of 34543140?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aglllagglllgvgllalg. Give prob of picking 1 a and 1 l.\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 266.18015 to two dps.\nAnswer: 266.18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.0332 - -0.03826. What is y rounded to 3 dps?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1020122010000101 - -1?\nAnswer: 1020122010000102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -23.1 + 22. Let q = s + 1.24. What is the closest to -1 in q, 2, 2\/15?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(12) + 1*sqrt(972) + -1*sqrt(300))\/(2*2*sqrt(96)))**2.\nAnswer: 25\/128","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -n**3 + 9*n**2 + 11. Let d be k(9). Let z = 158 + -162. Sort d, z, 4 in descending order.\nAnswer: d, 4, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -5, -1 in descending order.\nAnswer: -1, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 25 - -62623.598661\nAnswer: 62648.598661","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -2*m**2 - 2. Let k(y) = -4*y**2 - 174*y - 5. Give -k(f) + 3*r(f).\nAnswer: -2*f**2 + 174*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1053 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -206070 from -0.3007185.\nAnswer: 206069.6992815","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -1 + 0 + (-3)\/(-3). Let t be (-12)\/(-3) + k + -1. List the prime factors of 10\/(-15) - (-35)\/t.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1 + -3)\/((-13)\/156). Let h be 481\/4 - (-2)\/(-8). What is the highest common factor of w and h?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 26193?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 313696 - -15873. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3\/4 + -235\/12. Let a = 21 + b. Let f = 616\/3 + -207. What is the nearest to 1 in a, -1, f?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -61*s**3 - 13*s**3 - 3*s**3.\nAnswer: -77*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) be the third derivative of 7*q**4\/24 + 11*q**3\/3 - 551*q**2. Suppose 4 = -5*p + 29. List the prime factors of x(p).\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/10 of a millennium in decades?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*a*u**3 - 381*a*u**2 - 15*u**3 - 6*u - 1 wrt a?\nAnswer: 2*u**3 - 381*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1538960?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1 - -0.8. Let p = 0.23 + l. Let z(m) = 2*m - 3. Let g be z(1). Which is smaller: p or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*b + 7*b - 3*b)*(-4*b + b + 0*b) - 4*b**2 + 4*b + 26 - 20 - 5.\nAnswer: -10*b**2 + 4*b + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 6, h: 1, r: 2, p: 8, a: 1}. Give prob of picking 1 a, 1 p, 1 r, and 1 h.\nAnswer: 4\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 219 - 429 + 210 + 9827*r**2 + 40846*r**2.\nAnswer: 50673*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -27*c + 34. Calculate the smallest common multiple of 315 and i(-13).\nAnswer: 3465","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 181571826*w**2 - 11358540*w?\nAnswer: 363143652","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 13537000 rounded to the nearest one million?\nAnswer: 14000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 81\/99 + 4\/((-40)\/6). Do -1 and k have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the second derivative of -z**5\/12 + 5*z**2 + 6*z. Let p(c) be the first derivative of r(c). Let x(m) = -7*m. Give p(x(d)).\nAnswer: -245*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 32667 a multiple of 38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -1963.743 rounded to the nearest one hundred?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - -2) + (3 - 11 - -10)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add 43.728 and 26302.93541.\nAnswer: 26346.66341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the third derivative of s**5\/60 + s**4\/8 + s**3\/6 - s**2 + 23*s. List the prime factors of y(11).\nAnswer: 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*f + 2 + 16. What is the highest common divisor of 18 and f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 84*g*l**2 + 22*g - 7*l**2 - 56934*l + 901578 wrt l.\nAnswer: 168*g*l - 14*l - 56934","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 - 19 = -6*r, -5*r = 4*o - 38574. What are the prime factors of o?\nAnswer: 2, 3, 11, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7244 divided by 16312\nAnswer: -1811\/4078","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: ((-8)\/(-10))\/(1\/((-70)\/(-42)))\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 4*b + b - 14 = 0, -2*b = 3*s + 2. Let a be (-36)\/(-8) + 1\/2. Sort a, s, -3, -5 in ascending order.\nAnswer: -5, -3, s, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1301725*j**4 + 6537*j**2 + 3168*j**5 + 1301725*j**4 wrt j.\nAnswer: 190080*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(363) + -2*sqrt(363)*-2)*2 + 4)**2 - (((sqrt(363) - (sqrt(363) - (-1 + sqrt(363)))) + 0 + (sqrt(363) - (-1 + 0 + sqrt(363))))*-1 + 2)**2.\nAnswer: -1716*sqrt(3) + 144849","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(68)\/sqrt(2) - sqrt(34))*3)\/(-6*sqrt(2)*1) + (sqrt(187)*-2*4)\/(sqrt(11) - sqrt(132)\/sqrt(108)).\nAnswer: -12*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (9*10\/(-36))\/((-84)\/(-2520))\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 5\/(12 + -67) - (-424)\/(-11)*-2. Suppose 4*n - 3*n = 11. What is the greatest common divisor of n and w?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 345402\/7 equal to 49343?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out 128.213 - 155141102.\nAnswer: -155140973.787","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9)\/6*(-7)\/(1323\/(-168)).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37866 = 123*o + 39957 for o.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 11 and 4158.\nAnswer: 4158","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 v when two letters picked without replacement from {i: 6, g: 2, z: 2, a: 1, v: 3, f: 1}?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3203404 (base 5) to base 8.\nAnswer: 150544","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 1. Suppose 0 = t - 9 + 7. Suppose -2*m - 2*z - 2*z - 6 = 0, 4*m + 8 = -4*z. Let b(n) = 2*n + 3. Calculate m*b(l) + t*u(l).\nAnswer: -2*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-24)\/(-28) + (-299)\/161. Sort b, 5, 103, -2\/11, 13 in decreasing order.\nAnswer: 103, 13, 5, -2\/11, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -23 in 6, -0.3, -95, -297?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that 2*l**2 - 582*l - 4784 = 0.\nAnswer: -8, 299","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -2*z**3 + 4*z**2 - z + 5. Give k(3).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 108 and 1216?\nAnswer: 32832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sum -41592930 and -24.\nAnswer: -41592954","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13609*u - 13613*u = -4*n - 24, -5*n + 15 = 4*u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 - -41665\nAnswer: 41664.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 9 and 24.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-775539)\/(-5 + -4) - -6 - -3. What is o rounded to the nearest 1000?\nAnswer: 86000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = a + 6. Let q(j) = -1. Let o be (-1 - 2) + 3 + 1. What is o*d(x) + 3*q(x)?\nAnswer: x + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gcgc. What is prob of sequence cgcg?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Product of -9658 and -0.3.\nAnswer: 2897.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -10*u + 352 - 212 for u.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 4, g: 2}. Give prob of sequence jgjj.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1293?\nAnswer: 3, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -264294 take away -29452?\nAnswer: -234842","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.16629495 to 1 decimal place.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -47721, -47722, -47723, -47724, -47725?\nAnswer: -47726","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -14 + 30. What is the greatest common divisor of w and 48?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6849 - 6847.803. Round i to 2 dps.\nAnswer: 1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -48125 - -69035. What is the units digit of b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert c14 (base 13) to base 11.\nAnswer: 159a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -68*a**2 + 8571*a - 164. Calculate o(126).\nAnswer: 214","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(-60)*(-15)\/6.\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 197 divide 100547?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 38.16 to zero dps.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = z**2 - 17*z + 4. Let b be k(16). Let o = b + 19. Does 8 divide 468\/28 - (-2)\/o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 24 and 2350634472?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, b: 3, s: 4, m: 9, z: 2}. Give prob of sequence qm.\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yd when two letters picked without replacement from dwwuyhddumduddm.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 259 + 0?\nAnswer: 259","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 5853 times -29?\nAnswer: -169737","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*o**4*p**2 - 2*o**3*p - 8*o**2*p**2 - 7*o*p**2 wrt o?\nAnswer: 72*o*p**2 - 12*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 4, e: 1, y: 2, t: 4, o: 7, d: 2}. What is prob of sequence yg?\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -62*t**3 + 45*t**2 wrt t?\nAnswer: -372","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1305636147?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 473337192.\nAnswer: 2, 3, 137, 359, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) 1\/3 (b) 19 (c) -8 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.4 and 234.\nAnswer: 234.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2622 and 736.\nAnswer: 41952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -f + 2. Let w be h(0). Let p be (-4)\/21*(-966)\/828 - 0. Suppose -32\/9 - 16\/9*o - p*o**w = 0. What is o?\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -20967407.62 rounded to the nearest one million?\nAnswer: -21000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 2*o - 292 = 0. Suppose 6*c + 53 = -m + 2*c, -5*c = -m - 8. Let j = m - o. What is the highest common divisor of 8 and j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -61 + 93. Let p = -29 + l. Solve 3*g - 5*i - 6 = 0, -5*i = -2*g - 2*i + p for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*a**2\/5 - 27357*a\/5 - 5640294.\nAnswer: 3*(a - 10054)*(a + 935)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:11 AM and 1:07 PM?\nAnswer: 236","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 475*z - 807. Let q be n(-89). Round q to the nearest one hundred.\nAnswer: -43100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-24)\/(-14) + (-28)\/(-98). Suppose 153 = -p*w + 159. Solve -w*l - 4*d = -5, -7*d + 2*d = -2*l - 35 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.722016 years in millennia?\nAnswer: 0.002722016","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of j**3*q**2 - 15*j**3*q*z - 972*j**3*z**2 + 4*j**2*q**2*z + j**2*q*z**2 + 32*j**2*q - 5*q**2 + q*z**2 wrt j?\nAnswer: 6*q**2 - 90*q*z - 5832*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1815*u**3 - 19467558*u**2 - 7079148*u\/5 - 128712\/5.\nAnswer: 3*(u - 10726)*(55*u + 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-232)\/203*(-7)\/10.\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 2*a. Let l(s) be the first derivative of 5*s**3\/6 - 5*s**2 + 201*s - 103. Let v(g) be the first derivative of l(g). Determine v(d(m)).\nAnswer: 10*m - 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-4)\/(-3))\/((-12)\/(-54)). Suppose -25 = n - j. Let s = n + 19. Solve 5*g - g = s for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16944 a multiple of 181?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (670\/15 - 1) + (69\/45 - 66\/55)?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wc when two letters picked without replacement from pfwctqq.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -12 or -92\/7?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 66, -4, 1\/6?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1 - 38090\/(-14))*(-18 - -32). Let o be (-3)\/(-15) + -4 + g\/20. Suppose o = 26*p - 6*p. What is the units digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 85.86506mg to kilograms.\nAnswer: 0.00008586506","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6284544 by 8016.\nAnswer: 784","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = 2*c + 4. Suppose -c = -5*l - 0. Suppose -2*a + 15 = 5*r, -r + 16 = 5*a - l*a. Solve -j + r = -4, 3*m + 2*j - 13 = 0 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = u + 4*c - 17, -u = c - 6 + 1 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 28 = -4*t, k = 4*t + 11 - 39. Suppose -2*l - 3 = -2*v + t, -3*l = 4*v - 13. Which is the nearest to l? (a) 6\/5 (b) -2 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 7, i: 1}. Give prob of picking 1 i and 2 m.\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -w**2 + 16*w - 23. Let r be q(9). Is 10716\/120 + (-12)\/r a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - (-8 + 2 + 6).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 6 or 3.3892202?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*b + 728 = 36*b for b.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 377 and 104429.\nAnswer: 377","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxvxxwvvxvw. What is prob of picking 1 x and 1 v?\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 720\/70 - (-4)\/(-14). Calculate the common denominator of -7*l\/16 + -2 and 41\/12.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 99 + (-174 - -3) - -83.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/((g*(g*g*g**(-13)\/g*g)\/g*g*g)\/g))\/g**3*g*g\/(g*g*g\/g**(-3\/11))*g**(-9) assuming g is positive.\nAnswer: g**(-25\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9736?\nAnswer: 2, 1217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5 and 1805.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -2*u - 2. Let m(p) = 4*p + 5. Let w(k) = 2*m(k) + 5*s(k). Let j(h) = -2*h + 2*h + 4*h. Determine w(j(o)).\nAnswer: -8*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c - 16 = -4*c, r + 131 = c. Let k = 32 - r. List the prime factors of k.\nAnswer: 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 73702?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -0*p + 4*p. Let o(a) = 3*a**2 - 5*a - 9. Let g(b) = -4*b**2 + 5*b + 10. Let j(y) = -4*g(y) - 5*o(y). What is the units digit of j(p)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*l + 98 - 82. Suppose -11*o = -26 + l. Round o to the nearest 10.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1521 + -156665\/103. Let z = -89\/721 + v. Suppose 2*k + 5 = -3. What is the biggest value in -6, k, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 > 40?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3 (b) 2\/5 (c) -24 (d) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the third derivative of -r**8\/2800 - r**7\/700 - r**6\/600 - r**3\/6 + 3*r**2. Let p(y) be the first derivative of f(y). Factor p(i).\nAnswer: -3*i**2*(i + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 + 3 - 4)*(2*t + 2*t - 170 + 168) to the form c*t + s and give c.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-25 - (11 + -42)) + 42 - 16.\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - (-3 - -10 - 0).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*w = -17*w + w - 5*s - 24, 2*w - 3*s = -40 for w.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*v = -4*z + 3*v - 39, -4*z - 33 = 3*v. Let n = z + 16. Let k(q) = 15*q - 6*q - n*q. Let g(d) = -2*d. Calculate g(k(x)).\nAnswer: 2*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -562 + 573. Solve -n*r - 13 + 2 = 0 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -772193 + 0?\nAnswer: -772193","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) be the third derivative of -w**6\/540 + w**4\/9 + 16*w**3\/27 + 6*w**2 - 12*w. Let r(i) = 0. What is i?\nAnswer: -2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) be the third derivative of n**4\/24 + 7*n**3\/6 - 2*n**2. Let m be q(-7). Let a be (1 + -2)*(-6 + 5). Sort m, a, 2 in increasing order.\nAnswer: m, a, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -167520.1*-0.4\nAnswer: 67008.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.4594 times -0.3?\nAnswer: -1.03782","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 289\/5 - 58. Let r be ((-7)\/((-147)\/36))\/(3\/21). Let l be 2\/7*(5 - 78\/r). What is the nearest to 1 in l, -0.02, f?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25022 to the power of 1\/3, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 8302 to the power of 1\/2, to the nearest integer?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 732 and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 6, g: 3, d: 3, w: 2, h: 6}. Give prob of picking 2 c and 2 w.\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 655521 is divided by 139.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3403\/6? (a) 5 (b) 11 (c) 0.3 (d) 627\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (41184\/(-44))\/(-52)*(-8)\/(-18)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -2 + (-2 + (-70)\/(-8))\/3. Solve t*f**3 + 1\/4*f**5 + 0*f**2 + 0 + 0*f + 1\/2*f**4 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 55185357 to the power of 1\/2, to the nearest integer?\nAnswer: 7429","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 17\/2 of a week?\nAnswer: 85680","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 10920642 a multiple of 83?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -2270 minus 262?\nAnswer: -2532","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*b**3 - 15*b**3 + 4*b**3 + 2*b**3 - b**2 + b**2 + (0*b + 2*b**3 + 0*b)*(3 + 2 - 3) + 3*b**3 - 7*b**3 + 2*b**3)*(2*b - b - 3*b).\nAnswer: 22*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, r: 2, j: 1}. What is prob of picking 1 a and 1 j?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1003 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -417176, -417602, -418028, -418454?\n\"Answer: -426*q - 416750","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*y**3 + 4*y**3 + 12*y**3.\nAnswer: -y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 2*h)*(221*h - 172*h**3 - 221*h).\nAnswer: 344*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 635 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0082208222 to three dps.\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -61 + 113. Suppose 5*h - 28 - u = 0. Let d(s) = -4*s - 2. What is the lowest common multiple of d(-6) and h?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 18\/(-99) + 70\/22. Suppose -t*l + v = -202, -2*l = 3*l - v - 334. Let r be 3*(-4)\/l + 0. Is -1 bigger than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 494?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 719 minutes before 3:54 PM?\nAnswer: 3:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = -2*z + 8748, -3*z - 7110 = -4*l - 107. Does 7 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/(63\/6)*-21.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 18230538?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 67069\/618 - -29\/206. Which is greater: z or 110?\nAnswer: 110","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kyyynkdkkpsyk. What is prob of sequence ykp?\nAnswer: 5\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29 - 2*p**2 + 29.\nAnswer: -2*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = 2*j + 10. Let d be 4*(-3)\/(-8)*j. Let u = -147 - -1026\/7. Which is the second biggest value? (a) d (b) 2\/17 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 0 + -1000101?\nAnswer: -1000101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 2 = 6*f. Suppose f*p = -5*p - 1862000. What is p rounded to the nearest ten thousand?\nAnswer: -270000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -17919371 by 2.\nAnswer: -17919371\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 76378342.\nAnswer: 2, 38189171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (1 + -1)*(-34 + 33) - -17445?\nAnswer: 3, 5, 1163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*n + 2*n**2 + 2*n)*(-2 + 9 - 6*n**3 - 8).\nAnswer: -12*n**5 - 2*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 2*z - 5. Let f(p) = -2*p + 6. Suppose -4*c - 4*s - 24 = 0, 0 = -2*c - c + 2*s - 3. Suppose -17*g = 4*g + 84. Give c*f(l) + g*m(l).\nAnswer: -2*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 127 minutes before 8:12 PM?\nAnswer: 6:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 2*x**3 + 3*x**2 + 4. Let a be o(-2). Sort -50, a, -4, -1, 2.\nAnswer: -50, -4, -1, a, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 3*y = -z - 21, 0 = -z + 3*y + 3. Let k = z - -3. Solve k = -n + 5*j + 1 - 10, -5*n + 13 = 4*j for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the first derivative of -k**6\/36 + 299*k**5\/30 + 1207*k**4\/24 + 1513*k**3\/18 + 101*k**2\/2 - 1085. Determine v, given that s(v) = 0.\nAnswer: -2, -1, 0, 303","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 78635 + -2?\nAnswer: 78633","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.03? (a) 0 (b) -1 (c) 1\/91 (d) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is f in f**3\/6 - f**2\/2 + f\/3 = 0?\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19225655 is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 61294 times 14.787?\nAnswer: 906354.378","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-42)\/480)\/((-1134)\/1944)?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 - 0 - (-131 - -151)?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-19)\/1820 + (-2)\/(-8). Let x = 6118 + -214127\/35. Let y = h - x. What is the nearest to -2\/5 in -2\/9, 2, y?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 75, 67, 35, -33, -149, -325, -573?\n\"Answer: -2*m**3 + 6*m + 71","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - 28) + (-69 - (92 + -254))?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1985 by -397.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ggwq when four letters picked without replacement from {w: 1, q: 5, g: 5}.\nAnswer: 5\/396","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vfmhunf. Give prob of picking 1 v, 1 m, and 1 f.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-9 + 2)*(18\/(-7))\/3. Suppose j*n = -2*n + 1008. Does 21 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24782 = -7489*v + 312223 for v.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 10\/3 of a hour?\nAnswer: 12000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = -5*u - 9, 2*b + 8*u - 6 = 5*u. Solve b = -6*y + 2*y - 5*f, 18 = y - 5*f for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4.89 - -0.11. Let r = k - 9. Which is the third smallest value? (a) 5 (b) -1\/3 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7\/2 + -1)*(-25)\/125.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 402331253 (base 6) to base 13\nAnswer: 1556040","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = x. Let r(c) = c**2 + 4*c - 8. Let u(w) = -w**3 + 8*w**2 - 7*w + 1. Let h be u(7). Let p(m) = h*r(m) + 4*o(m). Calculate p(-7).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1974 by 21.\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2053 * 7090.\nAnswer: -14555770","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -14*l + 10*l - 11*l - 14. Suppose 77*x + 101 = -361. Is j(x) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -23441574 divided by -12102.\nAnswer: 1937","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1210) - (sqrt(1210) + -6*-1*sqrt(1210)))\/((-1*sqrt(135) - sqrt(135))\/sqrt(3)).\nAnswer: 11*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 14 + 1 + -24 - -8\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v when two letters picked without replacement from {v: 9}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5126 + -3199. Let m = -1096 + r. What is the hundreds digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7829 - -7476.9. Let t = -352 - w. Is t <= 167?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1575377266 - 5?\nAnswer: -1575377273","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 373, 763, 1153?\n\"Answer: 390*j - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l when two letters picked without replacement from llvvtt.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 26844 < 13158?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 at most as big as -1.53627?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -11 - -74. Let n be 2\/4*(-126)\/(-7). Calculate the greatest common divisor of o and n.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 356304932 is divided by 3277?\nAnswer: 3276","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 699259?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 671989?\nAnswer: 569, 1181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a + 2 = 5*q, -15 = -2*q + 4*a - 9 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*q**3 - 2*q**3 + 2*q**3)*(3*q - 2*q**2 - 3*q) - 229*q**4 + 230*q**4 - 3*q**5 + 2*q - q.\nAnswer: q**5 + q**4 + q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u and 2 y when four letters picked without replacement from {c: 2, y: 2, u: 4}.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 12011 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rgrksgrrwkgo. Give prob of sequence sr.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - (-5 + 2) - 4 - (29 - 48)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.055 + -45.055. Let h = 45.00000019 + a. Round h to seven decimal places.\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the first derivative of k**3 + k**2 + 2*k + 2. Is f(-2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.17 + 0.13. Let x(u) = u**2 - 5*u - 1. Let h be x(6). Which is the smallest value? (a) 0.5 (b) t (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ogg when three letters picked without replacement from ggooogoogogg?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2091 in -2, 4, -0.17?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -399.5 - -400. 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: Simplify (sqrt(24)*2*-1)\/(sqrt(8) + 4*sqrt(288))*5.\nAnswer: -2*sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) be the third derivative of -29*t**5\/20 + 6*t**3 - 38*t**2. What is the derivative of k(o) wrt o?\nAnswer: -174*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 165515 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-1 - -1)*1)\/(-2). Suppose 3*s - c = -5, -s = 4*s + 3*c + 13. Suppose 5*q = -4*x + 16, -2*x + 20 = 5*q + 2. Sort k, s, -3, q.\nAnswer: -3, s, k, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/(y\/(y\/y**4)))\/y**(-3\/7)*(y\/((y\/y**(2\/15))\/y))\/y**(-2))**(-17) assuming y is positive.\nAnswer: y**(-1003\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.998 + 0.998. What is the second smallest value in 0.5, 2\/9, s, 2\/61?\nAnswer: 2\/61","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (i - 2*i + 0*i)*(6*i**4 + 0*i**4 - i**4 + (3 + 2*i**2 - 3)*(-6*i**2 + i**2 + 4*i**2)) + 2*i**2 + 1339*i**5 - 417*i**5 + 11*i**3 - 10*i**3.\nAnswer: 919*i**5 + i**3 + 2*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 681 minutes after 5:45 AM?\nAnswer: 5:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*w**2\/7 + 899923680*w\/7 + 67488552485395200\/7.\nAnswer: 3*(w + 149987280)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -1\/3, -3286, -0.5.\nAnswer: -3286, -0.5, -1\/3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t = 2*z - 3*t - 12, 0 = z + 4*t + 5. Let a be 33\/15 + z\/(-15). Solve -3*j = x + a*x + 6, -j = -2*x - 10 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -204*v. Let g(d) = 3*d**2. Calculate o(g(a)).\nAnswer: -612*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + 0*b - 1475 = 0. Suppose 12*m - 41 = b. Solve 2*i + 0*w = 2*w + 16, 3*w = 4*i - m for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 11*q**2 - 6*q - 7. Suppose -3*j + 46 = 5*g, g + 15 = 5*j - 3*g. Let p(o) = -6*o**2 + 3*o + 4. Give j*p(y) + 4*u(y).\nAnswer: 2*y**2 - 3*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Add together -843 and -406.\nAnswer: -1249","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the third derivative of -h**5\/60 + 11*h**4\/24 - 2*h**3 + 4*h**2. Let n be j(9). Suppose -n*s = -s - 95. Solve -s = 5*q + 1 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t + 399*f + 20 = 401*f, 0 = 5*t + f + 25 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in nine quarters of a micrometer?\nAnswer: 2250","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -j + 2*j. Suppose j*z = -z - 123000. What is z rounded to the nearest 10000?\nAnswer: -120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -1321037 and 204?\nAnswer: 1321241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - (-2 - -3 - 1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-1\/2)*l)**31*l**(-2\/3)*l**(-3\/2)*l*l assuming l is positive.\nAnswer: l**(46\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1.43 - 1.39. Let t = 119 + -473\/4. What is the closest to -1 in 8, n, t?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -181 - -176. Let y(i) = -22*i - 3. Let r be y(3). Let u be 5\/(w\/r) + 1. What is the greatest common factor of u and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -24344 and -0.0626.\nAnswer: 1523.9344","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 + 8*q**2 - 7)*(q - 5*q + 3*q).\nAnswer: -8*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 0.23 - 97.6\nAnswer: -97.37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let 845*q**3 - 7665*q**2 + 15750*q - 1080 = 0. Calculate q.\nAnswer: 12\/169, 3, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.9 - -1. Let d be 3\/(((-315)\/6)\/5). Let k = 46 - 45.9. What is the closest to k in z, -3, d?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 1, v: 1, f: 1, e: 1, k: 2, x: 1}. What is prob of sequence vtef?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 35107, 70185, 105263, 140341, 175419?\nAnswer: 210497","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 21 = 4*x, -4*x - 2*y + y + 9 = 0. Let q be (-1)\/((-4)\/(-32)) + 3. Sort x, q, -1, 2.\nAnswer: q, -1, 2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/(-1))\/((-36)\/(-240)*4).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 6677?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d + d = -3 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 102 and 603429093.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*n + 3*n**2 + 2*n - 2*n**2 + 0*n**2 - 11*n**4 to x*n + c*n**4 + r*n**3 + v + d*n**2 and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*m + 2*p - 24 = -14*m, 5*m - 30 = 2*p for m.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -180796 by 18.\nAnswer: -90398\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*f**5 + f**4 - f**4 + (11*f**4 + 3*f**4 - 5*f**4)*(5*f + 15*f + 4*f) + (-3 + 3 - f)*(0*f**4 - f**4 + 2*f**4).\nAnswer: 217*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 117267462 a multiple of 1989?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 4*b + 5*b + 9*b**2 - 39*b**2 - 3*b. Let s be l(5). Round s to the nearest one hundred.\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 39 + -18. Let h(f) = 2*f**3 + f**2 - f. Let t be h(0). Suppose t*c + 7*c = 35. Solve 2*m - c*s - n = 0, s = 2*m - 5 - 4 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 63295407?\nAnswer: 3, 7, 143527","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 35\/1664 and -29\/112?\nAnswer: 11648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uqb when three letters picked without replacement from {b: 1, q: 1, u: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + (-4 + 0 + 0 - -5) + 5?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -465*o**3 - 6*o**2 + 685*o - 42. Let h(p) = -465*p**3 - 5*p**2 + 684*p - 35. Let j(d) = 6*h(d) - 5*u(d). Find the second derivative of j(c) wrt c.\nAnswer: -2790*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w**2 + 28396*w + 255483 = 0. What is w?\nAnswer: -28387, -9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = 3*o - 27, 7*o = 4*o + 5*r + 27. Suppose 13*y = o*y + 720. What is the tens digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2b019 (base 16) to base 4\nAnswer: 223000121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 71*w - 208988 + 208136 for w.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -35136 + 35138. Let j(v) = 12*v - 4. Give j(h).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7*g**3*m**3*s - 9*g**3*m**2*s + 2*g**3*m - 6664*g**2*m**2*s - 19*g**2*m*s + 1649225*g*m**4 + g*m**2*s + 2*g*s wrt m.\nAnswer: -42*g**3*s + 39581400*g*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 23238, 23240, 23244, 23250?\n\"Answer: g**2 - g + 23238","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the second derivative of -v**5\/20 + 7*v**4\/6 - 29*v**3\/6 + 3*v**2 + 2*v - 54. Let n be z(9). What is the greatest common factor of n and 100?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -3*g**2 - 3*g + 1. Let o be k(2). Let l = o - -19. Does 12 divide 2*(216\/6)\/(3\/l)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -a**2 + 5*a + 5. Let g be j(6). Let t be -2*(-3 + (-1)\/g). Suppose 2*q - 42 = -p + 1022, -t*q + 2124 = 4*p. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 3130 - 3086 = 0. What is the remainder when 211 is divided by v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that 2*n**2\/9 - 7474*n\/9 + 862324\/3 = 0.\nAnswer: 386, 3351","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 4269047609 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/2 (b) 3\/2 (c) -0.07 (d) 0 (e) -0.048\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Add -67 and -0.0573.\nAnswer: -67.0573","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -s + 2 - 2*s**3 - 5*s**2 + 3*s**3 + s**2 + 4*s**2 - s**2. Calculate w(0).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 16.1, -2, -234.6, 100\/3?\nAnswer: 16.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p\/p**38)\/p)\/(p*p*p\/p**37*p) assuming p is positive.\nAnswer: p**(-4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 3 times -31\nAnswer: -93","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 467, 468, 473, 482?\n\"Answer: 2*x**2 - 5*x + 470","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3280085245?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -39*l - 11. Let q(s) = -13*s - 4. Let p = 10614 - 10606. Calculate p*q(y) - 3*w(y).\nAnswer: 13*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -0.0385 (b) -0.01 (c) -1 (d) -31 (e) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 7, -4, 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*a = 27*a + 51. Let f(o) = -36*o - a*o - 9 + 33 - 6. Let x(t) = -22*t + 5. Let k(r) = 6*f(r) - 22*x(r). Let h(d) = -2*d. Calculate h(k(j)).\nAnswer: 76*j + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 880508 = -4*s, -303309 = 5*d + 8*s - 1403956. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11717 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -21*x**3 - 38076*x**2 + 30504*x - 6024. Let c(w) = -3*w**3 + 2*w**2 - 2*w - 4. Let s(b) = -18*c(b) - i(b). Find v, given that s(v) = 0.\nAnswer: -508, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 76 is divided by 10*(0 + 8)\/4.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j**5\/5 + 4*j**4\/5 - 4*j**2\/5 + 2*j\/5 = 0. Calculate j.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of -4 - 45\/(-10) - (-123)\/2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 q when two letters picked without replacement from {q: 3, u: 1, i: 2, x: 1, w: 1, b: 12}?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -235 + 76876?\nAnswer: 76641","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the first derivative of -6 + 5\/21*x**6 + 12\/7*x**3 + 0*x + 64\/35*x**5 + 57\/14*x**4 + 0*x**2. Find b, given that z(b) = 0.\nAnswer: -3, -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = -2*d + 34, -d + 0*t = -5*t - 26. Let q = 77 - d. What is the units digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 457 is divided by 52?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 2, v: 3, q: 4}. What is prob of sequence ava?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6783304?\nAnswer: 2, 11, 19, 4057","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -47\/1641 and 2\/1641.\nAnswer: 1641","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -2 (b) 1111 (c) -13.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -14 + 125\/((-70)\/(-14)) + -56\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 + 1 - 2)*(-4 + 2*q + 4) + (4636 - 130*q - 4636)*(0 + 2 - 1) in the form n*q + j and give n.\nAnswer: -126","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) be the first derivative of -27*g**4\/2 - g**2\/2 + 4. Let h = -2 + 1. Is w(h) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-28)\/18)\/(20*84\/(-840)).\nAnswer: 7\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1224384 is divided by 250.\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -4278*o - 31391. Determine u(-8).\nAnswer: 2833","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - (-124 + 135 - (9 + 1))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 173, 168, 169, 182, 213, 268, 353, 474?\n\"Answer: m**3 - 3*m**2 - 3*m + 178","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -78*r**2 + 7*r - 5. Let l(z) = -76*z**2 + 11*z - 6. What is -2*l(f) + 3*u(f)?\nAnswer: -82*f**2 - f - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.1926 - 0.0074. Let p(k) = -k + 13. Let s be p(10). Let r be s + 5\/((-10)\/4). Which is the third smallest value? (a) r (b) j (c) -4\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/4 of a litre in millilitres?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*v = 4*a + 18*v + 22, 3 + 8 = 5*v + 3 - 2 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 17*m**2 + 121 + 25*m**4 + 0*m**2 - 121 wrt m.\nAnswer: 600*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 2405?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 867 = -1021. Suppose -5*x = -4*c - 0*x + f, 2323 = 5*c + 3*x. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 o when four letters picked without replacement from oooooo.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 583 minutes after 12:28 PM?\nAnswer: 10:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 136\/23 - 431\/69. Sort -13, p, 8\/27.\nAnswer: -13, p, 8\/27","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 185859513*s - s**2 - 371718999*s + 185859486*s.\nAnswer: -s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 2, -2, 17 in ascending order.\nAnswer: -2, 2, 5, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 19, -0.3, -5 in decreasing order.\nAnswer: 19, -0.3, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (61 + -67)*(1 + 50\/(-52)) - 0?\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*g**2*n - 241*g**2 + 34*g*n + 105*n + 73 wrt g.\nAnswer: 4*g*n - 482*g + 34*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -4*u**3 - 72*u**2 - 177*u - 3137. Give b(-18).\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -i**3 + 12*i**2 - i. Let r be d(8). Calculate the greatest common factor of 31 and r.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*d**2 - 2*d**2 + 4*d**2)*(2 - 4 - 2) + 218*d**2 + 562*d**2 + 1722*d**2 to the form i*d + u*d**2 + a and give u.\nAnswer: 2506","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 0 - 8 - (-3 - 0)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1 - -3. Let g = v - -31. Let x = 35.00000047 - g. What is x rounded to 7 decimal places?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/((k\/k**(4\/7))\/k)*k*k\/k**13)**(-7\/2) assuming k is positive.\nAnswer: k**33","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 32\/8*1\/2. Let n(i) = -2*i**2 - 8 + 16*i + 8*i**l + 5*i**3 - 2*i - 13*i**3. Let w be n(12). Round w to the nearest one thousand.\nAnswer: -13000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -3*f**2 - 404*f - 3542. Determine x(-9).\nAnswer: -149","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 6 + -3 - (-10)\/(-2). Which is bigger: v or -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(60) + sqrt(1500)*-3)\/sqrt(12).\nAnswer: -14*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3126404451?\nAnswer: 3, 67, 232153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 48787940 to the nearest integer?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1232\/(-2288)*(-4)\/14.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lclcclclclcllllllcl. What is prob of picking 3 c and 1 l?\nAnswer: 35\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1493 is divided by 75.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 29\/2800479 and 32\/138241827?\nAnswer: 1520660097","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 85 divide 121040?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 43918 and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 39510 and 663?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -l**3 + 6*l**2 + 1. What is x(6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = 2*z - 10, -5*z - c - 2 = -4. Suppose 4*k - 8 = -z*k, 5*k - 10 = 5*h. Solve h*f = 5*f - 20 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 46419 and 144.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -83002128 divided by 12?\nAnswer: -6916844","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:52 AM and 5:57 PM?\nAnswer: 485","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2.09 - 0.09. Let z = 0 - 2\/3. Suppose -2*m + 2 = 8. What is the closest to z in m, -0.2, p?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -148, -522, -1144, -2014, -3132?\nAnswer: -4498","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 3, -63, -5 in descending order.\nAnswer: 3, 0, -5, -63","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = w**3 - 4*w**2 + 9*w + 4. Let n be m(4). What is the derivative of -41 - n*v + 72*v - 18 + v**2 - 34*v wrt v?\nAnswer: 2*v - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 41509 and 41510 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -64*i**2 + 26*i + 80. Let h be t(19). Calculate the lowest common multiple of 14 and h\/(-60) - 2\/(-4).\nAnswer: 2632","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8 + -6. Is (u\/4)\/((-6)\/(-4908)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = v - 2*v. Suppose v = -u - 3*u - 5*d + 43, -2*u = -2*d - 26. Calculate the highest common divisor of 108 and u.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1502 - -1502.7. Sort -4, -8, -2\/19, s in increasing order.\nAnswer: -8, -4, -2\/19, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -426878, -853857, -1280836?\nAnswer: -1707815","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 152*m + 190*m - 38*m + 338*m - 45*m in the form g*m + k and give g.\nAnswer: 597","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 4, 234 in increasing order.\nAnswer: -2, 4, 234","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*b + 2310 = 241*b + 3*b for b.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 > 12\/365526223?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 200 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 closest to 1\/5 in -5, 2\/3, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1077 + -1072. Let k(u) be the second derivative of 0 + 3\/10*u**i + 16\/3*u**3 - 2*u**4 + 17*u - 1\/60*u**6 + 0*u**2. Factor k(b).\nAnswer: -b*(b - 4)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -81*i*m**3*r**2 + 2*i*m**3*r + 109*i*m**2*r**2 + 13*i*m**2 - 3*m*r wrt r.\nAnswer: -162*i*m**3 + 218*i*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 702463635?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(40)\/(sqrt(10)*-1))\/sqrt(2))**2 + 3*1*sqrt(32) - (-1 + (-5 + sqrt(8)\/sqrt(4))**2 - sqrt(6)\/(-1*sqrt(147) - sqrt(3))).\nAnswer: -24 + 175*sqrt(2)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -150 + 1846?\nAnswer: 16a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 221*0.2.\nAnswer: 44.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1565 + 1565.033. What is the second biggest value in c, 2, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6151?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 3*b. Let x(o) = -25*o + 28*o - 61*o - 61*o + o. Calculate x(c(h)).\nAnswer: -354*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 688181563 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 485?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g = -3*g + 42. Let w = g + -124\/9. Let t = 1\/8 + 9\/56. Which is the closest to t? (a) w (b) 5 (c) 2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -2 - 3*j - 1 + 0*j. Let a(q) = -2*q - 4. Let b(f) = -4*a(f) + 3*l(f). Suppose 0 = 15*v - 14*v - 3. Give b(v).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 315\/(-735)*-210*4*1\/(-10).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = k**3 - 3*k**2 - 4*k + 5. Determine q(3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-55)*-11*35\/2?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = p**3 + 4*p**2 + 4*p + 6. Let j be q(-3). Let f be ((-2)\/j)\/(3657\/(-522) - -7). Calculate the highest common divisor of f and 87.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 428170 at most as big as 428170?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 682.75 (b) 0 (c) -1\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*s - 472 - 28. Which is greater: s or -4?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -q**3 + 7*q**2 - 4*q + 3. Let r be z(6). Suppose 20*w = r*w + 30. Find the second derivative of 14 - 14 + w*j + 10*j**3 wrt j.\nAnswer: 60*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1870 - -2749. Is 91 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9497.9nm to micrometers.\nAnswer: 9.4979","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 35508548.\nAnswer: 2, 8877137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 2*o**3 - o**2 + 2*o - 2. Let s(b) = -b**2. Suppose -r - 2*r = 4*t - 23, -4*t + 20 = 0. Determine r*s(q) - i(q).\nAnswer: -2*q**3 - 2*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 14*b**2 + b**4 + 2*b**2 - b**3 + 10*b**2 - 7*b**2 to the form u + q*b**3 + z*b**2 + h*b + n*b**4 and give z.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -17 + 30. Let h = s + -16.5. Let y = -3.4999973 - h. Round y to six dps.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4\/7? (a) 199 (b) -2\/3 (c) 2\/57 (d) 0.0556\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3 (b) 4 (c) -0.9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -388680 (base 13) to base 4.\nAnswer: -11030102211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -4766*f**3 - 107*f**2 + 882470 wrt f?\nAnswer: -14298*f**2 - 214*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 869663?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in 0.5, -1007, -3\/2, 2\/23?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -73294000 rounded to the nearest 1000000?\nAnswer: -73000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/3, 7, -1\/4?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1496461919 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1\/(3 - 88\/30). Solve 8*j = 3*j - c, p + j = -7 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 97321 is divided by 6436?\nAnswer: 781","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 103*a**2 + 25*a - 55. What is the tens digit of q(2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 2*p - 2. Let w(d) = 13*d - 13. Let f(z) = 7*z - 7. Let k(b) = 11*f(b) - 6*w(b). Let l(h) = h**2 + 5*h - 15. Let o be l(-7). Give o*x(i) - k(i).\nAnswer: -i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 136008 is divided by 67986?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -86326 (base 9) to base 5.\nAnswer: -3312004","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 586*a**2 + 10*a + 14. Let k(f) = -293*f**2 - 5*f - 6. Let l(z) = -6*d(z) - 13*k(z). List the prime factors of l(1).\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 24 + -9. What is the highest common divisor of o and 60?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 144 and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2643.\nAnswer: 3, 881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/60)\/(((-276)\/460)\/((-2)\/6))?\nAnswer: 1\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 7*s - 6*s - 2*s)*(-422 + 422 + 68*s).\nAnswer: -68*s**2 + 68*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 19 - 15. Suppose 0 = 6*l - d - 2. Let j = -3 - -3. Sort l, j, 6\/5.\nAnswer: j, l, 6\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3414909?\nAnswer: 3, 17, 66959","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2855 = 31*b + 1739 for b.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1839576 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10337, -1\/9, -12 in descending order.\nAnswer: 10337, -1\/9, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((3 + 4*(0 + (sqrt(76) - (-1 + sqrt(76) + -5))))*-3)**2.\nAnswer: 6559","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1723604 divided by -2?\nAnswer: -861802","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 60, -2, -3\/4, 5, -8 in increasing order.\nAnswer: -8, -2, -3\/4, 5, 60","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -9087 + 9197. What is the least common multiple of r and 330?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -4 + 14 + 3 + 0. Let t = h - 12. What is the remainder when ((10 + -1)\/(-18))\/((-1)\/2) is divided by t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 6 = -30. Calculate the common denominator of y\/(-9) - (-1)\/3 and 665\/42 + 4\/6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 272593954 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -236 + 423. Suppose 2*j - i = 137. Calculate the greatest common factor of 6 and j.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 58400 rounded to the nearest 100?\nAnswer: 58400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*w**2 + 20*w - 1800189 - 20*w + w**2.\nAnswer: 4*w**2 - 1800189","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmqkmeemskqq. Give prob of sequence mq.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -329 - 5?\nAnswer: -332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(2\/15)*k)\/(k\/((k*(k\/(k*k\/(k*k**(-1\/5))*k))\/k)\/k))*(k*k*k**(-1\/2)*k*k)**(-16\/7)*(k**(-1\/2)\/k)**(1\/7)\/(k**(1\/3)*k**(-1\/2)) assuming k is positive.\nAnswer: k**(-354\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*z - 8*z + 17*z - 4522 + 5*z.\nAnswer: 2*z - 4522","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -20 (b) 1 (c) -7.9 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*v = 28*v - 40. Calculate the smallest common multiple of 8 and v.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6\/7? (a) 6 (b) -222 (c) 1 (d) -19 (e) -2 (f) -4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f**2 - f - 3. Let i be q(0). Let r = -4.51 - -4.41. Which is the third smallest value? (a) -4 (b) i (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -7*h + 1. Let g be x(-1). Suppose -g*a + 65 = -3*a. What is the units digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -8475.02 - -8475. Sort -4, y, 34, -0.2.\nAnswer: -4, -0.2, y, 34","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -399*w - 165*w - 5 - 421*w - 256*w + 2184*w as n*w + x and give x.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.3 in 3, -8, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1529247 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in three eighths of a gram?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 200639 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -271937\/17 or -0.33?\nAnswer: -0.33","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -0.2, -6, 2\/5, 1\/4 in decreasing order.\nAnswer: 2\/5, 1\/4, 0, -0.2, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**2*u*u)**(-36)*u**(-13)\/u**13)**50 assuming u is positive.\nAnswer: u**(-8500)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that -10\/9*w**4 + 790\/9*w + 350\/9 + 524\/9*w**2 + 76\/9*w**3 - 2\/9*w**5 = 0.\nAnswer: -5, -1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 4211*a + 18. Let t(i) = -12633*i - 51. Determine 6*t(j) + 17*w(j).\nAnswer: -4211*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 337\/10 - 25613\/760. Find the common denominator of w and -111\/40.\nAnswer: 760","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2.3 times 17\nAnswer: 39.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -34693472, -34693470, -34693470, -34693472, -34693476, -34693482, -34693490?\nAnswer: -34693500","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 7 - 5 = 0, 0 = 4*m + g - 19. Find the first derivative of -m*h + 4*h + 20*h**2 + 0 + 12 wrt h.\nAnswer: 40*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -k - 4*h + 4 + 30, 0 = 4*k - h - 34. Solve -4*l + k = -14*l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2156401 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + (7 - (-7 + -2 - -8))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3 + a5?\nAnswer: a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 40696871 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2308 - 7282*i**2 + 177*i**2 - 1045 - 1263.\nAnswer: -7105*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20.045277 months to years.\nAnswer: 1.67043975","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00413960577 rounded to six decimal places?\nAnswer: 0.00414","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3)\/(1\/(6*(-5)\/(-45))). What is the units digit of (-6340)\/(-12) + -9 - m\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3 + -133225?\nAnswer: -133222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 166 minutes before 3:02 AM?\nAnswer: 12:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the second derivative of -509*x**5\/20 - 80*x**3\/3 + x + 176. What is the second derivative of b(l) wrt l?\nAnswer: -3054*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -t**3 - 20*t**2 - 26*t + 41. Is 82 a factor of h(-19)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00013115685 to 5 decimal places.\nAnswer: -0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.063 != 5494?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 66*v - 5*k = 68*v + 12, -4*v + 928 = 248*k for v.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -4*j**2 + 97*j + 18. Let p be t(22). Suppose 16*n + p + 536 = 0. What is n rounded to the nearest integer?\nAnswer: -47","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + -2 + 6 + -133 + 57 + 69.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19 + (10 - 0 - (32 + -28)).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -99\/10 and 5\/9.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) be the second derivative of 3*y + 0 + 1\/16*y**4 - 5\/2*y**2 + 0*y**3 + 1\/40*y**5. Let r(t) be the first derivative of k(t). Factor r(u).\nAnswer: 3*u*(u + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.2 + -0.1. Let t = -0.5 - l. Which is the biggest value? (a) t (b) -0.4 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = x**3 - 6*x**2 + 2*x + 19. Let c be z(7). Let v be 1\/(-5) + 382\/10. Let f = c + v. Is f a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2, 0.07, -188?\nAnswer: -188","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1581)\/390 - (1071\/(-117) - -9). Sort -4, -0.1, j in decreasing order.\nAnswer: -0.1, j, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -5*c**3 + 9*c + 5. Let w(o) = -4*o**3 + 8*o + 4. Let q = 2 - -1. Suppose -5*v = -3*i + 40, q*v = 5*i + 18 - 58. Calculate i*l(z) - 6*w(z).\nAnswer: -z**3 - 3*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (1 - (57 - (-6 + -17))) + 18\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*f - 45*f + 360. Let g(b) = b**2 - 8*b - 17. Let s be g(f). Solve 0 = s*l + 3, 5*d - 6 = -2*l + 2 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -24, -5, 20, -2, 0 in descending order.\nAnswer: 20, 0, -2, -5, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 27541487 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -38 - -41. Calculate the remainder when 4 is divided by f.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = j - 6. Let b(x) = -x + 39. Let m(o) = -5*a(o) - b(o). What is the derivative of m(g) wrt g?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -107\/14 and 19\/49262.\nAnswer: 344834","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + -2.9946?\nAnswer: -4.9946","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29 - 45 = -4*m. Let s(c) be the second derivative of 0 + 2*c**3 - 3\/2*c**2 - 3\/2*c**m - c + 3\/5*c**5 - 1\/10*c**6. Suppose s(f) = 0. What is f?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(2\/7)\/i)**39\/(i**0)**34 assuming i is positive.\nAnswer: i**(-195\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5457 and 7225.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -8 + 8. Suppose 3*l - 4*c = 7*l, 0 = -2*l - 3*c - 2. Suppose -2*t + u*o = l*o - 26, 5*t = o + 65. Is 7 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -61534768 and 59744?\nAnswer: 61594512","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 29432639 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -628.056 + 628. Let z = -131.344 + c. Round z to the nearest ten.\nAnswer: -130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -132*i + 148 = -95*i. Which is the nearest to 2\/25? (a) -1\/2 (b) i (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 429 + -423. Let m = 3 + -13. Let g = w + m. Sort g, 0.3, -0.4 in decreasing order.\nAnswer: 0.3, -0.4, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (257\/(-1028))\/((-13)\/(-4) - 2).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the third derivative of j**7\/840 - j**6\/180 + j**4\/12 + j**3\/3 - j**2. Let f(x) be the first derivative of y(x). Give f(2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 42\/397 and -35\/3.\nAnswer: 1191","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0403838 times -1?\nAnswer: 0.0403838","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-312)\/494 - -3)*7\/210*-6?\nAnswer: -9\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -342231003 (base 5) to base 8\nAnswer: -5640246","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5135744234 to the nearest integer?\nAnswer: 1725","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 314*r**2*w**3 + 2128*r**2*w + r*w**2 - 2738*w**4 - 4*w**2 wrt w?\nAnswer: 1884*r**2 - 65712*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.33431 rounded to 2 dps?\nAnswer: 5.33","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*u + 2*u - u)*(4 + 0 - 2)*(2*u**2 - 29 + u + 29).\nAnswer: -4*u**3 - 2*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-34828)\/(-888114) - ((-2593)\/2805 - -1)?\nAnswer: -2\/55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x**3\/6 + 27*x**2\/2 + 13*x - 80\/3 = 0. What is x?\nAnswer: -80, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1983 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -183502*g**5 - g**3 - 31455*g**2 + 2*g wrt g.\nAnswer: -11010120*g**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 25\/4 of a gram?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d, 1 o, and 2 b when four letters picked without replacement from {s: 4, d: 4, o: 1, b: 2}?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:48 AM and 1:19 PM?\nAnswer: 91","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 34 - 52. Let p be (y\/(-24))\/((-1)\/(-4)). Let z = 13\/6 - 43\/24. Sort 0.3, z, p in decreasing order.\nAnswer: p, z, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*a - 3*a + 3*a)*(5 - 3*a**2 - 4 - 6*a**3 + 4*a**3) to l + j*a**2 + v*a**3 + f*a + u*a**4 and give v.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -8104 + 162171\/20. Calculate the common denominator of 2\/(-7) + (-1479)\/336 and t.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1835262943 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is (4050\/100)\/((-1)\/(-18)) a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = 4*b + 198, -4*b + 0*b + 2*w - 218 = 0. Let t be 1\/2 + b\/72. What is the smallest value in 2\/7, 0.5, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3444 divided by 5\nAnswer: 3444\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2713734 by 1.\nAnswer: 2713734","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-6)\/3 + (-1 - -34) is divided by -11*(12\/4 + -4).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = j - a - 25, 0 = -2*j + 4*a - 5*a + 47. Does 19 divide j\/(-6)*(-98)\/8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) be the third derivative of -b**6\/780 - b**5\/195 + 7*b**4\/156 - 4*b**3\/39 - 14*b**2. Factor r(s).\nAnswer: -2*(s - 1)**2*(s + 4)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*u**5 + 2634*u**4 + 33840*u**3 + 90786*u**2 - 33843*u - 93420 = 0. What is u?\nAnswer: -865, -9, -4, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 13*m**2 + 4*m - 49. What is j(6)?\nAnswer: 443","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -t**2 - 3*t**2 + 5*t**2 + (2*t + 2*t - 3*t)*(-1 + t + 1) + t**2 + 2*t**2 - 2*t**2 + 457 - 457 - 1784*t**2.\nAnswer: -1781*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 64\/5 of a tonne in kilograms?\nAnswer: 12800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -23*b. Let g(l) = 2*l**2 - 6541*l. Calculate v(g(d)).\nAnswer: -46*d**2 + 150443*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8 - -11. Let l = -3.4 + f. Let v = -0.103 + 0.003. What is the smallest value in l, 3\/2, v?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3608 - -144301\/40. Calculate the common denominator of 41\/208 and o.\nAnswer: 1040","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 59553859 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -53418 rounded to the nearest 100?\nAnswer: -53400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3283?\nAnswer: 7, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-606720)\/(-50) - 4) + (-3)\/(-5). Suppose r - 5*a - x = 11017, r = a + 23128. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g and 1 t when three letters picked without replacement from agtgkhhhggmg.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = h**3 - 9*h**2 - 33*h - 10. Let z be v(12). Let f(b) = -z*b**2 + 4*b**2 + 24*b**2. Calculate f(2).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/((-2)\/(-7)*4\/12). What is the highest common factor of 3 and l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-13)\/(-3 - -16) - 4\/((-60)\/(-207)). Sort s, -2\/3, 3, -5.\nAnswer: s, -5, -2\/3, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i + 3*t = 4*i - 6, 2*t + 3*t = 11*i - 16*i + 30 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -627.2*-1.\nAnswer: 627.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -30827.5?\nAnswer: -30827.5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 10 = -4*t + 17, 11*a = -33. Put t, 2, -21 in decreasing order.\nAnswer: t, 2, -21","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve 126*q - 239*q + 152*q = 351 for q.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - a = k + 46, 5*k = 4*a + 121. Let m = -16 + k. Suppose 2 = m*h - 43. Does 3 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -10 (b) 5 (c) 3\/47 (d) 1\/3 (e) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k**(-13\/2))\/k**(-16))**(5\/3) assuming k is positive.\nAnswer: k**(35\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = k**3 + 6*k**2 + 11*k + 55. Let s be d(-9). Let n = 307 + s. What is the smallest common multiple of 320 and n?\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 20817, 20815, 20813, 20811, 20809?\n\"Answer: -2*p + 20819","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:15 PM and 4:48 AM?\nAnswer: 453","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 1, -5, -203532, 2, 6 in ascending order.\nAnswer: -203532, -5, 0, 1, 2, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 11 = 41. Is d at most 7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l - 91 = -9*l - 2*d, 59*d - 60*d + 29 = 0 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 - 4*f**2 + 0 + 3*f**2 - 2*f**2 + 2*f**2 + (3 + 7 - 3)*(f**2 + 3*f**2 - 2*f**2).\nAnswer: 13*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -88779.08367 rounded to the nearest integer?\nAnswer: -88779","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the third derivative of -2\/3*o**4 + 139\/30*o**5 + 0 - 7*o**2 - o**3 + 2*o. Find the second derivative of n(j) wrt j.\nAnswer: 556","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 355052589?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z**1*z*z)**(-36))**(36\/7))**(2\/99) assuming z is positive.\nAnswer: z**(-864\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 11 = -2*f, -2*f = -i + 19 - 2. Let h = 0 + 13. What is the remainder when h is divided by i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10101 (base 2) in base 3?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11896 = 3100*x - 3604 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 423368 and 272.\nAnswer: 846736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that m**2 + 11579*m + 30218638 = 0.\nAnswer: -7606, -3973","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 8*j**3 - 5*j**2 - j + 8. Let c(a) = 9*a**3 - 6*a**2 - a + 9. Calculate -5*c(d) + 6*t(d).\nAnswer: 3*d**3 - d + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22 + 0*x + 2*x + 0*x.\nAnswer: 2*x - 22","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*p**5 - p**5 + 0*p**5 + (-7*p + 4*p + 0*p)*(0*p**2 - p**4 + 0*p**2).\nAnswer: 4*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.2 + -0.7. Let h = -11.7 + 1.7. Let x = -9.6 - h. Which is the biggest value? (a) m (b) x (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.9, -0.4, -11?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*n - 5*n + n)*(-44*n + 13*n - 8*n - 33*n - 15*n) to b + r*n + t*n**2 and give t.\nAnswer: 522","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 97*m = 93*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 86 + -70. Suppose 1009 = s*o - 2335. Suppose 90 + o = r - 5*f, -f = -5. Is 36 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 54425 = -11*q + 54667 for q.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 120487 + -10121035\/84. Find the common denominator of (((-4)\/10)\/1)\/((-120)\/425) and z.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 38*w + 71 = 36*w, 5*p - 5*w = 65. Which is the nearest to -6? (a) p (b) 0.4 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the third derivative of k**5\/30 - k**2. Let t(n) = 22*n + 16. Let s(o) = 7*o + 5. Let p(j) = 16*s(j) - 5*t(j). Calculate p(d(b)).\nAnswer: 4*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 564 minutes before 2:38 AM?\nAnswer: 5:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the second derivative of 0*u**6 + 1\/12*u**4 + 0*u**2 - 1\/21*u**7 + 0*u**5 + 3*u + 0 + 0*u**3. Find the third derivative of t(l) wrt l.\nAnswer: -120*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 4, l: 3, x: 6, q: 4}. What is prob of sequence xxll?\nAnswer: 3\/952","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 678506 divided by -143?\nAnswer: -678506\/143","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -121 or -155?\nAnswer: -121","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6*y**5 + 70*y**4 - 883*y**2 wrt y?\nAnswer: -360*y**2 + 1680*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1053*n - 12265 = -62*n for n.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -8343*i - 1. Let t(h) = h**2 - 4*h. What is t(w(u))?\nAnswer: 69605649*u**2 + 50058*u + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 78 divide 24711385?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 10*j**3 + 7. Let b(k) = 3*k**3 - 11*k - 1. Let v(p) = 20*p**3 + 21*p**3 - 6*p - 40*p**3 - 1. Let h(r) = -6*b(r) + 11*v(r). What is 7*h(g) + 5*u(g)?\nAnswer: g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -625957 rounded to the nearest one million?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gqgfqgfq. What is prob of sequence gg?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4 + -32cd0?\nAnswer: -32cca","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1469.\nAnswer: 13, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -44*b**2 + 26*b**2 - 7*b**2 - 37*b + 13*b**2 in the form r + o*b**2 + w*b and give o.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -756, -747, -726, -687, -624, -531?\nAnswer: -402","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 344286 to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = x**2 - 5*x - 3. Let i be d(6). Let h be (-1)\/(-5) + 86\/120. Let u = h + -7\/6. Which is the biggest value? (a) i (b) u (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(60)\/(sqrt(300)*2 - sqrt(300)).\nAnswer: sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 9, f: 6, x: 1, t: 3}. Give prob of sequence ff.\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 835797?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 42346, 85749, 129164, 172597, 216054, 259541?\nAnswer: 303064","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 67081 is divided by 1157?\nAnswer: 1132","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 2*p**2 - 4*p. Let z = 50 - 50. Suppose -4*f + 4*v + 13020 = z, 0*v + 6511 = 2*f - v. Let t(k) = -3256*k + f*k - 2*k**2. Calculate d(t(i)).\nAnswer: 8*i**4 + 8*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 57 = -6*u - 7 - 56 for u.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = i**3 + 11*i**2 - 13*i + 2. Let a be v(-11). Suppose 3*q = -d - 44, -2*d - a = d - 4*q. Let r = 83 + d. What is the highest common factor of r and 90?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 124c7 - -2e5?\nAnswer: 127bc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 342112320 (base 6) to base 7.\nAnswer: 104136120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0.47, 2, -0.5?\nAnswer: 0.47","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 164, 4, -3 in increasing order.\nAnswer: -3, 2, 4, 164","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 283 = -14. Let j = -48 + l. Calculate the highest common factor of 561 and j.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2712 and 13090584?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -955*o + 935*o + 429760 = 0. Does 17 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from basssaraar. Give prob of sequence rbr.\nAnswer: 1\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 71 + -71. Suppose j = 4*p + t - 436, -2*p + 258 = -3*t + 26. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -4 - 65*f**2 + 129*f**2 - 65*f**2 - 33*f. Let v(c) = c - 1. Let i(d) = u(d) - 4*v(d). Factor i(r).\nAnswer: -r*(r + 37)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 720?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1980806 a multiple of 321?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 107, 233, 2 in decreasing order.\nAnswer: 233, 107, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*r**3 - 15635*r**2 - 617370*r.\nAnswer: 5*r*(r - 3166)*(r + 39)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*b = 4*f - b + 97, 0 = 2*f - 4*b + 16. Let t be (-104)\/(-18) - 4\/f. Suppose -t*k - 110 = -11*k. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5 - 7. Let q be 2*(2 + (-1)\/c). Let d(t) = t**2 - 5*t + 1. What is the units digit of d(q)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -139*o + 83. Is z(-5) a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 3, p: 3, a: 1, g: 2, y: 2, l: 1}. Give prob of picking 1 a, 1 g, and 2 p.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 91\/4 and 83\/9462375.\nAnswer: 37849500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the first derivative of 2*w**5\/15 - 16*w**4\/3 + 170*w**3\/3 - 2192. Factor v(m).\nAnswer: 2*m**2*(m - 17)*(m - 15)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-6 - 28\/(-6)) + 94\/3. What is the greatest common divisor of x and 480?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3 (b) -1\/2 (c) -3 (d) -0.10259\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:09 PM and 4:34 AM?\nAnswer: 445","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -3, 18, 53, 102, 165, 242, 333?\n\"Answer: 7*f**2 - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 193311 is divided by 1111?\nAnswer: 1108","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -11 - -15. Suppose 2*u - 68 = -0*t - 5*t, -t + k = 0. Suppose 6 = -3*q + u. What is the units digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -m**2 - 11*m. Suppose 7*y - 2*y + 55 = 0. Let l be j(y). Solve l*a = 4*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -8*v - 20. Let n be l(-7). What is the highest common divisor of 12 and n?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3*3)\/((-51)\/(-17))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -93*n - 23767 - 23757 + 47524 - 82*n.\nAnswer: -175*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -46 < -565\/12?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.066 - 41.934. Let h = 0.4117271 - 42.4111471. Let a = h - m. Round a to four decimal places.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -608, -1999, -4190, -7199, -11044, -15743, -21314, -27775?\n\"Answer: -3*v**3 - 382*v**2 - 224*v + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 7 (b) -0.6 (c) -6\/13 (d) -1 (e) -7 (f) -1\/2 (g) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -3*x**2 + 4*x + 2. Let u(p) = -6*p**2 + 9*p + 5. Let n(z) = -14*f(z) + 6*u(z). Let o(g) = g**2 - g. Let q(i) = -n(i) + 5*o(i). What is q(-2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 64 and 60?\nAnswer: 960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 462291695?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in 698, 6, 0, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 36560800 to the power of 1\/4, to the nearest integer?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(6*(sqrt(70) + sqrt(70) + (4*sqrt(70) + sqrt(70) + sqrt(70) - sqrt(70)) + sqrt(70) - sqrt(70)) + sqrt(70))\/(sqrt(160)*-4).\nAnswer: 43*sqrt(7)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0\/1 + 0\/(-2). Let g be -2 + 2 - 1124\/418. Let z = -58\/19 - g. Is z > d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (370*t + 2*t**3 - 316*t - t**3)*(2*t**2 + 5*t**2 - 5*t**2).\nAnswer: 2*t**5 + 108*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2375 by 475.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 4*y**2 + 4385*y + 170034. What is n(-1056)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 17 = 7. Suppose 5*u = 3*r + 15, -4*u + 12 = 2*r - 0*u. Let b be 5 + r*(-3)\/6. Which is smaller: s or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = o**2 - 7*o + 4. Let a be n(6). Let j = a - -17. Solve 3*c = -0*c + j for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (0 - 1)*0\/(-5). Suppose 10*j - 5*j - 4 = -3*t, w = -3*j - 3*t. Suppose b = -j*b + 21. List the prime factors of b.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -8, 5, 468, -5 in increasing order.\nAnswer: -8, -5, 2, 5, 468","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 4*n = -52, 8*y - 6*y - 4*n = 92. What is the lowest common multiple of y and 8?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -157*b - 626. Let f be v(-4). Let c(k) be the first derivative of -20 + 1\/15*k**3 - k + 2\/5*k**f. Determine q so that c(q) = 0.\nAnswer: -5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 11*t**2 + 3*t + 2. Let z be n(-3). Let i = -34 + 80. Suppose 3*g - 5*s = z, -5*s = -4*g + 167 - i. What is the tens digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*b**4\/2 + 531*b**3\/2 + 1611*b**2\/2 + 1617*b\/2 + 270.\nAnswer: -3*(b - 180)*(b + 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 164953316.\nAnswer: 2, 11, 3748939","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 15.37 - 0.07. Let x = v - 15. Let p = 7.7 - 8. Which is the nearest to -1? (a) p (b) x (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -23 + 35. Suppose -t = m - 5*m. Suppose -133 = m*s - 10*s. Is s a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1186 - -1179. Sort v, -5, -15 in descending order.\nAnswer: -5, v, -15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*z**2 + 17*z**2 - 4*z**2.\nAnswer: -2*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 96531?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w*w\/((w*w\/(w\/(w*w*w**9))*w)\/w)*w*w*w\/(w*w\/(w*w\/w**(-11))*w*w)*w**(1\/2)*w*(w*w*w\/(w**(-7\/4)*w))\/w assuming w is positive.\nAnswer: w**(25\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -92 - -92. Suppose 5*d + 10 = f, -d = -4*q - q - 3. Is -6 at most as big as q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 93 by 5.\nAnswer: 93\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d - 16 = -2*d. Suppose -2*i + d + 44 = 0. Calculate the highest common divisor of i and 65.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 138351 - 137415 = -24*l for l.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54 = 3*v - 183. Suppose 2*d - v + 41 = 0. Is 4 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - 19*g - 48 = -22*g, 4*g = 4. Let l(x) = -x**2 - 2*x + 64. Let k be l(w). Solve -4*v - k = -5*h - 37, 4*h + 16 = 0 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 (base 16) in base 3?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.6 - 4.6. What is the second biggest value in 2, m, -3\/8?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 k when two letters picked without replacement from {l: 1, q: 3, k: 4, o: 2}?\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -204 + 1003*v + 822 + 4*v**2 - 1001*v. Does 7 divide h(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -124 in 2\/9, -3.5, 0.1?\nAnswer: -3.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 754568905?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1 - 52a07?\nAnswer: -52a06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 3550*f = -3548*f - 35, -4*h - 5*f + 45 = 0. Suppose -y + 0*y = -1. Let k(u) = -1 - y + 9*u - 3*u - u**2. Calculate k(h).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) be the first derivative of 0*p**2 - p + 1\/3*p**3 - 8. What is x(-1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the second derivative of h**4\/12 - 19*h**3\/6 + 8*h**2 + 17*h. Let k be l(18). Which is bigger: k or -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.017*159.6148.\nAnswer: -2.7134516","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2885419?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 3796.118 millennia in decades?\nAnswer: 379611.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -3*f**2 - 52*f + 18. What is t(-18)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + 0 + -31 + 30.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8189 by 4758.\nAnswer: -8189\/4758","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - (27 - -4)) + 24 - (1 - -4) - -80\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 289 times 3231?\nAnswer: 933759","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 0.107881 * 2022\nAnswer: 218.135382","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2 - 2. Suppose r - 2*r - 1 = c. Let u = 0 + r. Which is smaller: -2 or u?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5 - -15.4977299365.\nAnswer: 20.4977299365","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = u. Let t(l) = -10*l + 71062. Determine t(b(d)).\nAnswer: -10*d + 71062","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -37, -159, -361, -643, -1005?\nAnswer: -1447","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the third derivative of -2*z + 5\/36*z**6 + 0*z**3 + 4\/225*z**5 - 1\/15*z**4 + 0 - 1\/75*z**7 - 51*z**2. Determine r so that p(r) = 0.\nAnswer: -1\/3, 0, 2\/7, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 92323.\nAnswer: 7, 11, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 936359 and 37.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 176.3 - 181.3. Suppose -s + 5*f = 24, 0 = -s - 0*f - f. Sort 23, s, r in descending order.\nAnswer: 23, s, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2.179 + -2.079. Suppose 2*i = -2*i + t + 28, 0 = -4*i + 5*t + 28. Suppose 3 = k + i. Which is the biggest value? (a) 3 (b) k (c) 0 (d) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4\/30 + (-58)\/(-15). Solve -s = -3*c - c - 20, -f*c - 3*s - 20 = 0 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 84 - 83.924. Let h = -1.076 + p. Let r = -0.66 + 0.26. Sort h, 5, -5\/2, r in decreasing order.\nAnswer: 5, r, h, -5\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 23483?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = k**2 - 6*k + 7. Let w be 64\/12 - (-2)\/(-6). Let q be g(w). What is c in 2*c**5 - 6*c**q + 0 + 2*c - 4*c**3 - 2 + 10*c**2 - 2*c**4 = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 33*-7.48.\nAnswer: -246.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2 - 15 - 6\/(-3). Let i be 2*((-19)\/2 + 0). Let y = r - i. List the prime factors of y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 49527.\nAnswer: 3, 5503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 3*d - 5*d + 4*d - 8 - 4*d. Let z be s(-4). Suppose 5*x + 5 + 10 = z. Which is the third smallest value? (a) 1\/4 (b) 0 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 16) in base 6?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -109\/930312 and -97\/31152.\nAnswer: 20466864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:33 PM and 5:12 PM?\nAnswer: 159","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 2*j. Let f(d) = -d + 1. Let a(w) = -w + 6. Let g = 40 - 41. Let c(m) = g*a(m) + 6*f(m). Determine u(c(v)).\nAnswer: -10*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-1\/3)\/o)**(-17\/5)\/((o\/o**(1\/3))\/o)**2)**38 assuming o is positive.\nAnswer: o**(988\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 36924 is divided by 105?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 2159 a multiple of 127?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 257093427 is divided by 1307?\nAnswer: 1299","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8302 to the nearest integer?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-4*o - 3*o + 0*o)*(o + 4*o - 3*o) - 20*o**2 - 35 + 35)*(4*o**2 - 5*o**2 - 2*o**2) to the form c*o**2 + r*o**4 + f*o + a*o**3 + p and give r.\nAnswer: 102","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-512367)\/2563 - -185)\/(2\/11).\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -66 - -71. Let d = -0.8 + 1. Which is the closest to d? (a) j (b) 0.1 (c) -0.8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1799?\nAnswer: 7, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that -3*o**5 + 10065*o**4 + 202122*o**3 + 1275162*o**2 + 1985529*o - 3472875 = 0.\nAnswer: -7, 1, 3375","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 103628 is divided by 68?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13*s + 19*s + 28*s)*(-8*s + 3*s - 8*s) + (2 - 2*s - 2)*(5 - 4*s - 5).\nAnswer: -434*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.3 (b) 1\/4 (c) -3 (d) 2593\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -3*p**2. Let g(t) = -12942*t. Give g(b(o)).\nAnswer: 38826*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 33, 33, 31, 27, 21?\n\"Answer: -c**2 + 3*c + 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*j - 6*j + 4. Solve j*w - 2*d - 36 = 2*d, -5*d = 25 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -102 + 102. Let q = 155 - 160. Let i = -38 + 264\/7. Which is the closest to -1\/2? (a) d (b) i (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*o**5\/7 + 4250*o**4\/7 + 141562*o**3\/7 + 1269238*o**2\/7 - 782448*o + 118944 = 0. What is o?\nAnswer: -59, -28, 3\/19, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 0, -14, 22 in decreasing order.\nAnswer: 22, 2, 0, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1008) - 2*sqrt(1008))\/(sqrt(63)\/(sqrt(7) - (sqrt(7)*-2 - sqrt(7)))).\nAnswer: -16*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2127239 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-92)\/6)\/((-8)\/12). Let u = -32 + g. Are -8 and u unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -3*l + 5 - 1 + 0. Let x be (0 + 8)*(-1)\/2. Is 7 a factor of t(x)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -862 - -853. Let n(v) = v**2 + 2*v. Let c be n(0). Which is greater: c or w?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 29*q**3 - 18*q**2 + 26*q + 110. Is z(10) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21588 is divided by 3582.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (2212\/2528)\/(-9*13\/312)?\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1155?\nAnswer: 3, 5, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 26244?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h**(-1))**(-24)*h\/(h**7*h)*(h**(-2\/3)\/h*h)\/h)**40)**(-49) assuming h is positive.\nAnswer: h**(-90160\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (2\/(-7))\/((-18)\/63). Calculate the lowest common multiple of 16 and c + 0 + 0 - -21.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w + 6*l = 4*l - 6, -l - 3 = 0 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -61 + (-24 - (15 + -37)) + -15 + 2?\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*d - 9*d + 18*d + 4 - 7 to the form y + p*d and give y.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 68 + -63. Calculate the remainder when 6 is divided by j.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1068659.\nAnswer: 61, 17519","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (5\/(-1) + 1)\/(-2). Solve -f*h + 11 = -3*x, -3*x - 21 = 2*h - 2 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*p + 3*p + 2*p + (3*p - 3*p + p)*(-5 + 4 + 2) - 2*p - 3 + 3)*(3 + 0 - 1)*(-2 - 1 + 1).\nAnswer: 12*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 2, z: 1, c: 1, l: 4, i: 2}. What is prob of sequence lll?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -68*b**5*s**3 + b**5 - b*s**3 + b*s - 430*b wrt b?\nAnswer: -1360*b**3*s**3 + 20*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2 + -131?\nAnswer: -133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -b**2. Let j(y) = 191*y**2 - 119929*y + 119929*y. Calculate w(j(i)).\nAnswer: -36481*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00951301 - 342?\nAnswer: -342.00951301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*j + 5*j + 4*z + 26, -4*z - 20 = -2*j. Solve -x + j = -0 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 354 to the power of 1\/2, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z when two letters picked without replacement from kvzozzzkov.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (0 - 2\/(-3))\/(210\/2205). Suppose y*t + 5516 = 11*t. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/5099, 4, 9, -3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the second derivative of -2 + 55\/3*t**3 - 231\/2*t**2 - 88*t. What is the derivative of i(w) wrt w?\nAnswer: 110","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 70c199 (base 13) in base 6?\nAnswer: 132140022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zmmmmmxxmmxzpxxkx. What is prob of sequence mm?\nAnswer: 21\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -362 + 137. Suppose 0 = -3*f + 5*g - 662 - 367, 2*f = 5*g - 686. Let s = t - f. What are the prime factors of s?\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 13133, 45629, 97489, 168713, 259301, 369253, 498569?\nAnswer: 647249","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 403.0201 litres?\nAnswer: 403020.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2*6\/(-270))\/(1\/5).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 22.18709 millimeters in kilometers?\nAnswer: 0.00002218709","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*(-2)\/32*18.\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.3731408 to three dps.\nAnswer: 0.373","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 5*u + 12 = -16, 0 = -3*u + 3. Calculate the highest common divisor of 55 and v.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:31 AM and 9:56 AM?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 278918 and -0.3?\nAnswer: -83675.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let 0*c + 0 + 1\/2*c**3 - c**2 = 0. Calculate c.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g - 20 = 3*g - 5*j, -4*g + 4 = j for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9635844?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -25448*j**4 - 2063*j**2 wrt j.\nAnswer: -610752*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -9 + -1. Let p = -7 - w. Let n = 11880 - 11872. Which is the second smallest value? (a) -5 (b) n (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13 - (1\/(-5))\/(-18*15\/29700)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 187527?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3776191?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 275 = 11*t + 352 for t.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 3*t = 5253 + 660, -4720 = -4*a + 5*t. Suppose -5*d = -a - 735. Does 6 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.03 - -0.27. Let c = 3.7 + n. Let q = -6 - -7. What is the closest to q in 0, -3, c?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in 0.2, -2\/15, -0.4, -86.1, -1.7, -281, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + (4 - (-4 - -5)) - -1?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -i**3 + 193*i**2 + 196*i - 477. Determine m(194).\nAnswer: -89","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11*g**2 + 10 - 31*g**2 - 2*g**2)*(3 - 1 + 0).\nAnswer: -44*g**2 + 20","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) be the first derivative of 14*f**5 + 122 - 68*f + 0*f**4 + 0*f**2 + 2\/3*f**3. Differentiate c(m) wrt m.\nAnswer: 280*m**3 + 4*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 21 - (1 + 9 + (-7 - -9))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -215.3645 + 332.36479. Let f = 117 - y. Round f to 3 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -32 - -42. What is the smallest common multiple of v and 12?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -1, -4.2, -23 in increasing order.\nAnswer: -23, -4.2, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2388, -19279, -65200, -154689, -302284?\nAnswer: -522523","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -77537, -152198, -226861, -301526, -376193?\n\"Answer: -a**2 - 74658*a - 2878","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5721, -22860, -51415, -91380, -142749, -205516?\nAnswer: -279675","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -1, -4, 4, -41, 0, -12 in descending order.\nAnswer: 4, 0, -1, -4, -5, -12, -41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 268780.058 less than -106882?\nAnswer: -375662.058","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 142793364 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 144282?\nAnswer: 2, 3, 139, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3\/(-378)*123 + 2\/14. What is the third biggest value in 15, v, 0.5, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 139\/47154 and -35\/783?\nAnswer: 424386","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 1187*h - 3606. Let j be p(3). What is the fourth biggest value in -4, 2\/69, j, -4\/3?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4)\/((-66)\/(-9)*-3). Let y = 2 - 1.8. Let m = y - 0.3. Put n, 3, m in increasing order.\nAnswer: m, n, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -460594.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(117) + (sqrt(117) - (sqrt(117) - (2*sqrt(117)*2 - sqrt(117))) - sqrt(117)) - sqrt(117))*-6)\/(sqrt(90)\/(sqrt(10) - (sqrt(10) + sqrt(160)))*3).\nAnswer: 16*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = z**3 - 8*z**2 + 3*z - 18. Let t(p) = 3*p**2 - 1. Let m be t(-2). Suppose m*g = 22*g - 88. Let i be s(g). Solve 5*h + 6 = i*h + 2*q, q = h + 9 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*n = -2*n - 10. Let y = -7 + 2. Put y, 1, n in increasing order.\nAnswer: y, 1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 37045 is divided by 88?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 692 minutes before 5:14 AM?\nAnswer: 5:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (10\/(-15))\/(2\/9*-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 19 = -5. Let i = -63 - -69. What is the greatest common divisor of i and r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 637 and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3 - -3. Let i = 7 - 4. Suppose -x - 44 = -a - l*x, -i*x = 5*a - 198. What is the remainder when a is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23245 is divided by 830.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 258762982 and -1.60533?\nAnswer: 258762983.60533","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 143325 bigger than 103?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 11, f: 2, c: 2, q: 3, b: 1}. What is prob of picking 2 c, 1 n, and 1 q?\nAnswer: 11\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6255 - -6620. What is the remainder when w is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-seven fifths of a litre in millilitres?\nAnswer: 7400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -2*x - 14. Let b be q(-9). Suppose a = 4*z + 17, 3*a + 2*z - b = 5. Suppose -a = -4*l + 11. Solve -5*g + 24 - l = 0 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 130 - -239. What is the units digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -33*l**2 - 5*l + 0*l - 5 - 5*l**2. Let f(z) = 285*z**2 + 38*z + 38. Give -5*f(v) - 38*s(v).\nAnswer: 19*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12450 is divided by 2471.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 637924, 1275883, 1913862, 2551861?\n\"Answer: 10*k**2 + 637929*k - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 = -a + 3*l, 0*a = 4*a + 5*l + 23 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*a - 355 - 421 = 0. Let b = a - -99. Suppose -2*g - 2*g - b*q = -540, -5*g + q + 675 = 0. What are the prime factors of g?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 + -9 - (19 - 27 - -9)) + 5 + -17.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1132 + 1148. Let u = -5 + 10. Suppose -4*t + 52 = u*r - 4*r, -2*r - t + 69 = 0. Calculate the greatest common divisor of r and p.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 7*j - 146. What is a(21)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -907, -17, -36 in decreasing order.\nAnswer: -17, -36, -907","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 31475 and 175?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26928.\nAnswer: 2, 3, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -29 + 29. Let v(k) = 13*k + q + 1 - 14*k + 0. Calculate v(-3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 831*l - 5814. Calculate d(7).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -8*x. Let c(s) = s + 1. Let b(a) = 10*a + 6. Let y(h) = -b(h) + 6*c(h). Let d(o) = 3*p(o) - 5*y(o). Let q(k) = -4*k**2. Calculate d(q(m)).\nAnswer: 16*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = 5*n - 166, 42 = 3*n - v - 52. What is the greatest common divisor of n and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -62\/43, 5, -0.03?\nAnswer: -62\/43","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 775 (base 9) to base 10.\nAnswer: 635","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -164009880.9197995905 - -164009881. Let v = a - 0.0802. What is v rounded to 7 decimal places?\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1539603?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -5*k**2 + 69*k - 93. Determine c(11).\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - 1*-4)*21\/84.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2190*k**3*s - 3*k**2*s + 37*k**2 - 2*k*s wrt k?\nAnswer: -13140*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 0.9212397 meters?\nAnswer: 92.12397","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*x**3 + 60779*x**2 - 60779*x**2.\nAnswer: 2*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 3*a = -4*n + 2, 2*n = -a + 11. Suppose -n*x = 7 - 25. Let w be x\/(4\/(-173)*2\/4). What is w rounded to the nearest one hundred?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 2*s + 1559 = -2075, -3*l + 2724 = -3*s. Suppose 0 = 2*a - y - 913, 6*y = 2*a + y - l. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 68 (base 11) to base 13.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tbim when four letters picked without replacement from ibibtictmittiti.\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -247500 - 1.5\nAnswer: -247501.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 10 and 20960788?\nAnswer: 104803940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 61200 and 336240.\nAnswer: 28580400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 370060 to the nearest one million.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 164*l**2 - 1 + 4*l**4 + 167*l**2 as g*l**4 + p*l + r*l**3 + o*l**2 + x and give g.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 92072 and 16618996?\nAnswer: 33237992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n**2 + 15*n + 56. Let r be l(-10). What is the third derivative of 13*w**4 - 3*w**2 + 11*w**r - w**2 - 17*w**4 + 0 - 2 wrt w?\nAnswer: 1320*w**3 - 96*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.854892 rounded to one dp?\nAnswer: 3.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 56099.\nAnswer: 56099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 421 minutes after 5:28 PM?\nAnswer: 12:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 4535689 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) be the third derivative of 10\/3*h**3 + 14*h**2 + 7\/8*h**4 + 0*h**5 - 4 - 1\/120*h**6 + 0*h. Factor k(j).\nAnswer: -(j - 5)*(j + 1)*(j + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 0 + -1424?\nAnswer: -1424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*a**2 - 367*a + 367*a.\nAnswer: 2*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 726856 divided by -1?\nAnswer: -726856","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 21293?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + 5 - (2 - -19 - (3 + 7))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/6, -208\/3, -1\/7, -20\/3 in decreasing order.\nAnswer: 1\/6, -1\/7, -20\/3, -208\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 20*p**2. Let r(v) = v**2 - 33*v + 99. Determine r(f(z)).\nAnswer: 400*z**4 - 660*z**2 + 99","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(-9\/5)*x**(-7\/3)*(x*x**(-1)*x)**(-4\/11) assuming x is positive.\nAnswer: x**(-742\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2145*i**4 - 2*i**2 + 803*i + 2 wrt i?\nAnswer: 51480*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -33737*y. Let g(k) = 16*k - 2. Determine p(g(h)).\nAnswer: -539792*h + 67474","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) be the second derivative of -5*t**2 + 0*t**4 + 0 + 3\/5*t**5 + 0*t**3 - 3*t. Find the first derivative of x(p) wrt p.\nAnswer: 36*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - s - 10 = 0. Suppose -8*g + 3*g = -5. Suppose 7*c - g = 34. Put 2, s, c in decreasing order.\nAnswer: c, 2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1581\/(-6))\/((-2)\/4). What is the second derivative of 265*m - 13*m**4 + 271*m - k*m wrt m?\nAnswer: -156*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 18213, 36424, 54635?\n\"Answer: 18211*h + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 2 - 2 = 0. Which is the second smallest value? (a) 1 (b) 2 (c) 3 (d) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-1)\/(-4)*-6)\/(17\/(-34)). Suppose 575 = t*s + 5*v, 5*s - v - 521 = 428. Does 19 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 719 minutes before 12:27 AM?\nAnswer: 12:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -67 - -51. Suppose 0 = -5*x + 106 + 79. Let b = x + q. Is 7 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 18*d**2 - 1379*d - 1. Let g(x) = 4*x + 8. What is o(g(z))?\nAnswer: 288*z**2 - 4364*z - 9881","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3, -55740\/53, -1?\nAnswer: -55740\/53","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 924 is divided by 476?\nAnswer: 448","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 338.11 + -338. What is the fourth smallest value in i, -0.1, 3\/5, -4?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -3423, -13866, -31335, -55836, -87375?\n\"Answer: -c**3 - 3507*c**2 + 85*c","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -10*r + 73. Let t be h(7). Solve -t*w + 6*w = 0 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -5 - 6*g**2 + 3*g**2 - g**3 + 3 - 3*g. Suppose -17 = 5*j - 2. Is a(j) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -7442\/7*u**2 - 2048\/7 - 7808\/7*u.\nAnswer: -2*(61*u + 32)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence spss when four letters picked without replacement from {s: 6, p: 7}.\nAnswer: 7\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 5800.7 and -7.67043?\nAnswer: 5808.37043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -164747 in 1\/3, 2\/5, 1, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(704) + -2 + sqrt(704))*3 - (sqrt(704) + 2)*2)*6*-2)**2*1*-1.\nAnswer: -1636416 + 92160*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (13 - 4*t - 13)*(0 - 4 + 2 + (-8 - 12 - 18)*(-5 + 0 + 4)) to r + u*t and give u.\nAnswer: -144","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m\/m**27))**(-31)\/(m**(-24)*m**(-44)) assuming m is positive.\nAnswer: m**(-769)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 10 and 770?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 24831703?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.938 + -0.65. Let f = b - -0.982. What is f rounded to zero decimal places?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 985, 12427 in descending order.\nAnswer: 12427, 985, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in twenty-one halves of a gram?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2112956 is divided by 120.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4734907 - -355.\nAnswer: 4735262","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0494299 rounded to four dps?\nAnswer: 0.0494","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l, 1 y, and 1 j when three letters picked without replacement from {y: 4, l: 2, j: 8}?\nAnswer: 16\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44*p - 6*p - 33 = -133 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -2*i**3 - 11*i**2 - 6*i - 3. Let r be j(-5). Solve y - 16 = 5*w, r*w - y = -4*y - 3 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -201 = -15*i - 5*h - 131, -2*i + 5*h = 2 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 7 - 368\/40 - (7 - 2). Put -0.13, 2\/9, k in ascending order.\nAnswer: k, -0.13, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -57553*g**2 + 57560*g**2 - 1 + 4*g**3 - 3 + 4.\nAnswer: 4*g**3 + 7*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 2*c = -7*c + 54, 158 = 5*s - 3*c. Suppose 1188 = 21*j - 9*j. Calculate the remainder when j is divided by s.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t = 4*k + 28, 4*k - 19 = 5*k - 5*t for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 3069155, 3069147, 3069139, 3069131, 3069123, 3069115?\n\"Answer: -8*s + 3069163","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/(-6)*735\/196.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (184\/(-24) - -8)*(-1 - -982).\nAnswer: 3, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 366315031 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 18 divided by -3227606\nAnswer: -9\/1613803","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 3*z**3 + 4*z**2 + 4*z - 4. Let m be (2\/(-6))\/(2\/(-12)). Suppose m*x = -0*x - 8. Let b(k) = -4*k**3 - 5*k**2 - 5*k + 5. Calculate x*b(u) - 5*y(u).\nAnswer: u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 24 = -4*d, 0 = 4*b - 2*b - 3*d - 19. Let l(x) = 3*x**3 - 2*x**2 + 4*x - 3. Let n be l(b). Solve -r + 4*s + s = n, -r + s - 1 = 0 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -12 + 17. Let r = n - -85. What is the units digit of r?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 17 divided by 20\nAnswer: 17\/20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-k**3 + 4*k**3 - 2*k**3)*(2*k + 0*k - 4*k) - 4 + 9265*k**3 - 9260*k**3 + 43 + k**4 to y*k**3 + v + d*k + l*k**4 + z*k**2 and give y.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 28 in -4, -1\/4, 5, -3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -24 - -71. Let g = -46.9999975 + q. Round g to six decimal places.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 56, 3, 0, 20, 8 in decreasing order.\nAnswer: 56, 20, 8, 3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (45\/(-12))\/((-1)\/(-8)). Let l = -12 - t. What is the remainder when l is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -25887\/28 + 3705\/4. Let g = 8 - 5. What is the third smallest value in x, g, 2?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2729991703 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 3 - 1)*(2*b**4 - b**2 + b**2 + (b**2 - 2 + 2)*(0*b**2 - 3*b**2 + 4*b**2) + b**4 - b**4 + b**4).\nAnswer: -12*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -18*p**3 + 6. Let c(z) = z**3 + 1. What is -2*c(n) - y(n)?\nAnswer: 16*n**3 - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-40 - -42)*(-6 + 11). Suppose 0 = -2*m + 5*m - 6. Solve -4*h - p = y, -h = -m*h + 4*y - 11 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4\/7 - -1\/14. Let t be 5\/(-7) - -1*1. Suppose 0*u = 4*u - 4. Which is the second biggest value? (a) k (b) u (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 + -3 + -5 + (13 - 9) + -41.\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 29*w**2 - 2. Let n be b(-2). Let o = 258 + 56. Suppose -2*h - n = -o. What is the greatest common factor of 40 and h?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.8 (b) -17 (c) 54 (d) 619\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 121012 (base 10) to base 5.\nAnswer: 12333022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (-5 + (sqrt(2057) - (sqrt(2057) - (sqrt(2057) + sqrt(2057)*2))) - sqrt(2057))**2.\nAnswer: -220*sqrt(17) + 8249","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-nine quarters of a gram in milligrams?\nAnswer: 12250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 919 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 4*x - 16 = 0, 0 = 2*g + 4*x - 6*x - 4. Let m be (g + -3 - -2)*2\/4. Let f = -4463\/2485 + -2\/497. Is f >= m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -161*i + 32793 = -164*i. Let h = i - -830815\/76. What is the common denominator of 137\/18 and h?\nAnswer: 684","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (((-35)\/(-7))\/(-90))\/(20\/(-6)). Let d(c) be the third derivative of 0 + 1\/150*c**5 + 0*c + 0*c**3 - 4*c**2 - y*c**4. Determine s so that d(s) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*l - 2*d - 8, -l + 0 = 2*d - 10. Let b be 2\/l - (-145)\/15. Solve -6 = -4*c + b for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 14 and 57848?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2*n + 0)*(-6*n - 179*n**3 + 114*n + 180*n**3).\nAnswer: 2*n**4 + 216*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -a**3 + 23*a**2 + 26*a - 53. Let s be h(24). What is the remainder when ((-85)\/15 - s)*159\/(-2) is divided by 27?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 158 + 78 = 0. Suppose -4*n - 5*f + v = 10, -2*n - 2*f = -22. Let u(h) = -h**2 + 10*h - 12. Calculate the remainder when n is divided by u(8).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10 (base 5) to base 15\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 530293 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 4207249 to the power of 1\/2, to the nearest integer?\nAnswer: 2051","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -4*w + 36. Let x be f(8). Solve -6*r = -x*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the third derivative of 17*c**4\/24 + 75*c**2 + 2*c + 100. Let u(l) be the second derivative of l**4\/4 - l. Give q(u(y)).\nAnswer: 51*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 56424391, 112848779, 169273165, 225697549?\n\"Answer: -d**2 + 56424391*d + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2643721994 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 596 minutes before 3:45 PM?\nAnswer: 5:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from inssisnnnssnssssssn. Give prob of sequence snsi.\nAnswer: 55\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 7\/1077 and -121\/21540?\nAnswer: 21540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*j + 8 = -36. Solve 5*h - 5 = -4*a, 4*h + j*a - 7 = -3 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, c: 2, r: 5, x: 6, g: 1}. What is prob of sequence cg?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 13) in base 16?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 3372*l**2 + 42*l - 39. What are the prime factors of j(1)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 45 divide 3443?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -w**3 + 7*w**2 - 2 - 1 - w + 2*w**3. Let i be l(-7). Let a be ((-12)\/(-10))\/(i\/100). Solve 5*u - s + 14 + 0 = 0, a = -5*u + 5*s for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 5 = -5. What is the first derivative of 0*p**h - 5*p**3 + 4 - 1 + 0*p**2 wrt p?\nAnswer: -15*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12\/80*(-80)\/(-552)*-2.\nAnswer: -1\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -20 <= 1\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 45 and 210?\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 38 - 21 - 26*i**2 + 29*i**2 to b + q*i + m*i**2 and give b.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = -r + 58, -3*m = -2*r - 0*r - 55. Put m, 1, -4 in decreasing order.\nAnswer: m, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -22064 and -16.\nAnswer: 353024","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 46*i - 9*i + 168*i.\nAnswer: 205*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.001392665418 to 4 dps.\nAnswer: -0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that p**3 - 28*p**2 + 115*p = 0.\nAnswer: 0, 5, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -11.1 - -11. Which is the closest to -1? (a) 0.3 (b) 3 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-27)\/(-2))\/((-59655)\/29622 + 2). Suppose -3*p = -2*p + 973. Let q = p - t. Which is greater: q or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10\/6*150\/3625?\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the third derivative of y**5\/60 + 2*y**3 - 4*y**2. Let r be i(0). Find the second derivative of 8*z**2 + 9*z**2 - z**2 + z - r*z**2 wrt z.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 2*r + 24. Let s be n(-14). Let w be (4 - (-36)\/(-8))\/(1\/7). Sort s, 0, w in increasing order.\nAnswer: s, w, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -4*z**3 - 26*z**2 + 8*z + 115. Give s(-6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 48 divide 172314\/(-72)*64\/(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = v**2 + 7*v + 2. Is 18 a factor of a(6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dmmmmmmmmd. Give prob of picking 1 d and 1 m.\nAnswer: 16\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = c**2 - 8*c + 23. What is the units digit of s(23)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:21 PM and 9:19 PM?\nAnswer: 538","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 85 + -85. Which is the smallest value? (a) u (b) -3\/2 (c) 16 (d) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*(sqrt(95) - (sqrt(95) - sqrt(95)*-2*1)))\/(3*sqrt(320)*2 - sqrt(320)))**2*3.\nAnswer: 57\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 134 - 30 = 0. Let a(s) = 9*s**3 + 169*s**2 - 48*s - 26. Let i be a(-19). Calculate the greatest common factor of i and q.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 272\/(-68) - (0 - (3 - -1)). Sort 5, r, -1, 96 in descending order.\nAnswer: 96, 5, r, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 865127047 to the nearest integer?\nAnswer: 953","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -3*l**3 - 111*l**2 - 108*l + 18. What is k(-36)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 91.7341 rounded to zero dps?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41*c + 276 + 220 = -160 for c.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -z - 5. Let d be m(-13). Let t(l) = 2*l + 3. Calculate t(d).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = c, 3*o = 3*c - 5*c + 263. Suppose -3*s + 0*s = -4*y - 139, -2*s + y = -o. What is the least common multiple of s and 10?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(2388\/199*17\/4).\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -325 - -746. Does 9 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the second derivative of -v**7\/21 - v**6\/6 + 155*v**3\/2 + 121*v. What is the second derivative of s(i) wrt i?\nAnswer: -40*i**3 - 60*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence za when two letters picked without replacement from wabboobabbobaazo.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 2, y: 4, j: 8}. Give prob of sequence dj.\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 8*s**6 - 16*s**2 + s**6 + 17*s**2 wrt s.\nAnswer: 1080*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 9 - w - 4 - w**2 + 3. Let t = -60522 + 60515. Give v(t).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (50 - 46) + (-2 - 0) + -13?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p + 2. Let w be n(5). Let t(j) = -j + 8. Let z be t(6). Let l = w - z. Solve 4*r + 3 = -l for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 greater than -17\/12?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*(-3 + sqrt(4)\/sqrt(2)) + (sqrt(2)*-2 + sqrt(2) + 3 - (sqrt(2) + 1 + sqrt(2) + -5)))*5)**2.\nAnswer: -6650*sqrt(2) + 11475","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 13686650 to the nearest integer?\nAnswer: 3700","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*v**4 - 81*v**3 - 222*v**2 - 144*v.\nAnswer: -3*v*(v + 1)*(v + 2)*(v + 24)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (12\/14)\/(14\/98). Suppose -c + 4*c = -q*c. Suppose c = 4*d - 5*s - 12, s - 15 = 2*d - 7*d. Solve -4*b - d*z - 7 = 0, -b - 10 + 3 = -z for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 287 = 2*n - 3*o, -141 = -3*n + 5*o + 290. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -3*s. Let q(h) = -334017*h**2 - 13*h. Calculate g(q(c)).\nAnswer: 1002051*c**2 + 39*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 22221011 + -2?\nAnswer: 22221002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(1\/2))**34\/(v**(-5)\/((v**(-2\/5)\/v)\/v)) assuming v is positive.\nAnswer: v**(98\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-24)\/(-2) + 10 + -7. Let x be (-3)\/z*(2 + 3). Which is bigger: x or -9\/10?\nAnswer: -9\/10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -d0d828 (base 15) to base 12.\nAnswer: -33a3418","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -106*y + 2*a = -104*y + a - 35, -5*y = -5*a - 175 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 526 divide 2934591?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 927921389.1 + 0.46.\nAnswer: 927921389.56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-50)\/5 + (-2)\/1. Calculate the remainder when 453\/18 + 2\/a is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.9 + -1. Which is the nearest to -1? (a) -0.5 (b) 0.1 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 4, 57, 3, 0 in decreasing order.\nAnswer: 57, 4, 3, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-4 - (-1 + 0))*(-14)\/(-147). Let h = -938\/5 + 187. What is the closest to g in h, -0.1, 0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-k - 2 + 2)*(-k - 2*k + 2*k) + 2*k**2 - k**2 + 0*k**2)*(-5 + 1 - 2)*(-1 + 8*k + 1).\nAnswer: -96*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1138416 a multiple of 1923?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6660 or 6657?\nAnswer: 6657","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 8562794*q**3 - 320600*q**2 - 3*q + 1.\nAnswer: 51376764","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gg when two letters picked without replacement from {u: 1, b: 2, g: 3, t: 1}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -59\/504 and 145\/378.\nAnswer: 1512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w\/(w*w**5))\/(w\/(w*w*w*w\/((w\/(w\/((w*w**23)\/w*w))*w)\/w))))\/(((w\/(w\/(w**(-5\/2)\/w)))\/w)\/w**(-19)))**(2\/13) assuming w is positive.\nAnswer: w**(-81\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 20.08 to 0 dps.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 177 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 52675185 to the power of 1\/8, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s*s**(-1\/4)*s)*s*((s\/(s\/(s\/s**(3\/4))))\/s)\/s)**(1\/8) assuming s is positive.\nAnswer: s**(-3\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*o*p**4 - 135*o*p**3 + o + 14*p**2 wrt p.\nAnswer: -48*o*p - 810*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -204 - 5250324?\nAnswer: -5250532","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 209 is divided by 47.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 85*f + 296 - 117 - 179.\nAnswer: 85*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = 4*b - 16, -1 + 0 = 2*b - a. Let l = 2 + b. Find the second derivative of c**4 - 2*c + l*c - 3*c wrt c.\nAnswer: 12*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -7*g**2 + 4*g - 38 + 21*g**2 + 7*g**2 + 40. Let k(c) = 21*c**2 + 5*c + 3. Let v(p) = -3*b(p) + 2*k(p). What is the second derivative of v(q) wrt q?\nAnswer: -42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) be the first derivative of b**3\/3 + 1. Let g(r) be the third derivative of 5*r**4\/12 + 329*r**2 - r. Determine x(g(j)).\nAnswer: 100*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 14679 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 56, 4, 60 in increasing order.\nAnswer: -3, 4, 56, 60","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -58*w**2 + 1. Let f(b) = 12*b. Give f(i(t)).\nAnswer: -696*t**2 + 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*sqrt(360))\/sqrt(8) + 6*(1 + sqrt(5)) + 3)**2.\nAnswer: 324*sqrt(5) + 1701","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1 + 2. Let q = -2 + 3. Let n = 8.9 - 9. Which is the closest to w? (a) -4 (b) n (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 4*s = 3*s - 9, 3*x = 4*s + 6. What is the nearest to 2\/5 in 1\/4, 1.2, x?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*s + 2*s + 0*s)*(570*s - 2841*s - 4434*s - 311*s).\nAnswer: -14032*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v and 1 u when three letters picked without replacement from {v: 2, z: 1, u: 6, d: 2, w: 3}.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 95 - 33. What is the units digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zhevhzzziz. What is prob of sequence zhi?\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -104591, -417685, -939507, -1670057?\nAnswer: -2609335","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1727 (base 10) in base 9?\nAnswer: -2328","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11571305 + 6*z**3 - 13*z**2 + 7*z**2 + 6*z**2 - 11571305.\nAnswer: 6*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4 - -5a?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 0 - 2)*((4 - 2 + 1)*(3*y - 3*y + 2*y) + 0*y - y + 0*y) to q*y + m and give q.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((0 + sqrt(833))*1)**2 - sqrt(833))*-1.\nAnswer: -833 + 7*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-50)\/(-25)*(-30)\/4.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -211 + 111?\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.06 times 16026682?\nAnswer: -961600.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 - 14 + 2)*(0*g**3 + 0*g**3 - g**3) - 2*g + g**3 + 2*g + (41 - 41 - 8*g)*(-4*g**2 - 3 + 3) to the form f*g**2 + o + j*g + m*g**3 and give m.\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 59503815.\nAnswer: 3, 5, 7, 139, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = c - 11, 3*v - 2*c = v + 8. Let t(b) = -17*b - 5. Let l(i) = -6*i - 2. Let z(y) = 11*l(y) - 4*t(y). Determine z(v).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 times -910?\nAnswer: 2730","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 33 = -2*s, 5*n - 19 = 5*s + 26. Let y(p) = -n*p**2 + 3*p**2 + 3*p**2 + 3*p**2. Let c(t) = 5*t**2. Give y(c(o)).\nAnswer: 100*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 32646.21 centuries to years.\nAnswer: 3264621","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 65*a + 236 = -90 + 1 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -5, 2, -0.011, -2\/5?\nAnswer: -0.011","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8289?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = p - 0. Let d be (3 - 4)\/((-2)\/p). Let h = -8 + 13. Solve 0 = h*t + 3*s - 3, s + 10 = d*t - 0*s for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:45 PM and 12:44 AM?\nAnswer: 719","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 36.44952 litres to millilitres.\nAnswer: 36449.52","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 116 rounded to the nearest ten?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 329 - 319. Let f = j - 14. Are f and 2 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3*(-16)\/24*30\/(-20)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -6*i + 75. Let g = i + -9. Solve -2*q + 24 = -5*q - 4*z, z = -g*q - 19 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o and 1 m when three letters picked without replacement from zmjrjsommjorrjo?\nAnswer: 9\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - -6733365.\nAnswer: 6733369","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 504*i**4 + i**3 - 4*i**2 + 867130*i.\nAnswer: 6048*i**2 + 6*i - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -5*z - 54. Let q be c(-12). Suppose -10*p + q*p = 12. Let b(o) = 3*o**2 + o + 1. Let g(r) = -r**2 + r. Let y(d) = -b(d) - 2*g(d). What is y(p)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5 * 787.\nAnswer: 3935","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = j + 10. Let p be y(-6). Suppose -2*v = -0*l - 2*l + 42, 4*l - v - 75 = 0. Suppose 3*u = -0*u. Solve 0 = -u*i - 2*i - 2*a + 8, -5*a = p*i - l for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/25 of a litre?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.05883256 rounded to 3 decimal places?\nAnswer: 0.059","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4.01 + -0.01. Let w = -2 + 6. Let y = w - z. What is the second smallest value in -4, y, 0.2?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 4*k**3 - 2*k**2 + 17342*k - 6. What is m(0)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the third derivative of -a**7\/1155 + 4*a**6\/55 - 8*a**5\/15 + 2*a**2 + 264*a. Factor f(v).\nAnswer: -2*v**2*(v - 44)*(v - 4)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.00022 (b) -0.05 (c) -9\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -1*(-4)\/(-12)*-1. Which is smaller: 0 or k?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = z - 6. Let q(u) be the third derivative of -27*u + 0 + 1\/12*u**4 - u**2 + 0*u**3. Calculate q(d(b)).\nAnswer: 2*b - 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42 = 5*r + 17. Let i = 21 + -19. Suppose c + i = -r*y, -3*y - 2*c = 1 + 3. Solve 4*o + 4 = -y*o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2848 divided by -1424\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**1)**(-10)*(x\/(x\/(x*x\/((x*(x*(x\/((x**(2\/3)\/x)\/x))\/x*x)\/x*x)\/x))))**(2\/3)*x**(-4)*x**(-3)*((x*x\/(x**(-1)\/x)*x)\/x)**(-19) assuming x is positive.\nAnswer: x**(-845\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3*((-21)\/9 + 2). Let q = c + 5. Let g be q\/(-26) - 486\/(-117). Let f(t) = -6*t**2 - 2*t. Let i(z) = z**2. Give g*i(k) + f(k).\nAnswer: -2*k**2 - 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1\/(-3) + 4\/3. Let m(g) = -g**2 + 13*g - 8. Let i be m(12). Suppose i*h - h - 6 = 0. Which is smaller: c or h?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -26 + 29. Suppose 836 = -x*z - c - c, -2*c + 284 = -z. What is the least common multiple of 8 and ((-3)\/(-6))\/((-2)\/z)?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*s - 18*s - s**3.\nAnswer: -s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (2 + 1833\/(-910))\/(24\/170) and -21\/32.\nAnswer: 672","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -148 - -207. Let m = 9 - d. Let g = 55.2 + m. What is g rounded to 0 decimal places?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6057 and 243626?\nAnswer: 2192634","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 37\/21 and -11\/795?\nAnswer: 5565","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 greater than -5008801?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -551633 (base 11) in base 13?\nAnswer: -24aa4b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is c2 + 7?\nAnswer: c9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.01 (b) 19 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, 1\/655, 13\/2, -12.\nAnswer: -12, -0.5, 1\/655, 13\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2\/51, 1285, -0.2, 3, 0.64?\nAnswer: -2\/51","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 143.605 - -6918273.\nAnswer: 6918416.605","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 149303?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -59669 divided by 1581\nAnswer: -59669\/1581","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-16)\/(-10)*(-2 - -7). Suppose 20 = 4*w + d. Suppose -36 = -3*r + 4*h, -2*r - w*h - 2*h = -1. Does 6 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*y + 40 + 12. Let a = y + 2. Solve 0 = 2*h + h + a for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*c - 7*c = -45. Let g be (c\/(-2))\/(-3 + 27\/12). Find m such that -13\/5*m**g - 6\/5*m**3 - 12\/5*m - 1\/5*m**4 - 4\/5 = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1.33 - 1.33. What is the nearest to 11 in -0.2, k, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3*7\/(-63)*-3?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 minutes after 2:27 AM?\nAnswer: 3:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ininn. Give prob of sequence nni.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 22*w - 7432 + 7542 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 1\/3, -38106.2, -2\/9, 1\/9 in descending order.\nAnswer: 3, 1\/3, 1\/9, -2\/9, -38106.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*m - 7*m + 20. What is the remainder when 11 is divided by m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -9*u**2. Let k(n) = n**2 - 5*n**2 + 106 - 7*n**2 - 106. Determine s(k(o)).\nAnswer: -1089*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 5*l + 6. Let a(x) = -2*x**3 + x + 1. Let k be a(l). Does 11 divide ((-8)\/(-16))\/(k\/96)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (6 + (-6 - -5) - 0) + -8 + -3?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/75 of a century in months?\nAnswer: 32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 102 = -o + 4*o, -s - 1 = 0. Let a = -553 - -588. What is the least common multiple of o and a?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = z**3 - z**2 + 4. Let g be c(0). Suppose 0*p - 8 = g*y + p, 0 = -5*y + 4*p + 11. What are the prime factors of 11 + (y + 1)\/2?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -8\/11, 1\/10, 4 in descending order.\nAnswer: 4, 1\/10, -8\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-95)\/(-35))\/(86\/11282383) + 1\/2 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 50556?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -17*w + 20*w, -2*j - w + 7 = 0. Solve -d = -j*d - 3*a - 23, -2*d + 4*a = -12 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -198*y + 31*y - 3841 = 0 for y.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3, 4, -3.33?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 5*p = -56, -42 - 2 = 4*q - 2*p. Let j(c) = c**2 + 8*c - 6. Let r be j(q). Suppose 0 = -a - 2*f - 14 + 38, -r*f + 45 = 2*a. Does 6 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -17*h + 57 - 57 - h + 0 + 0 + 0*h - 4*h + 3*h + 4 + 2*h - 4 + (-h + 4*h - 5*h)*(-1 - 3 + 2) + 2*h + 1 - 1 - 1 + 3*h + 1.\nAnswer: -8*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -30.8 - -1.4. Round j to zero decimal places.\nAnswer: -29","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 583977 = 189*u + 213089 - 609077. What is the tens digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*m - 2, -5*f = -3*f - 8*m - 310 + 302 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2\/5, -5, 6, 1\/4?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3 - -17?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-1)\/3)\/((-1)\/9). Suppose -m*z = 5*w - 53, 4*w = -w - 25. Suppose 4*g + 12 = 2*p, -4*p - 4*g = -g - 68. What is the remainder when z is divided by p?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5807 - -1411081\/243. What is the common denominator of y and 49\/297?\nAnswer: 2673","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11885585.\nAnswer: 5, 2377117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 16 = 5*k - v, 5*v = -k + 4. Solve -4*z = 3*s - 5, -4*z - z = -k*s - 14 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the first derivative of -5*s**4\/4 - 50*s**3\/3 - 85*s**2\/2 - 40*s - 108. Factor o(b).\nAnswer: -5*(b + 1)**2*(b + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -41, -105, -213, -365?\n\"Answer: -22*z**2 + 2*z - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -11803*t - 353770. Determine s(-30).\nAnswer: 320","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*f**2 - 20 + 44 - 21 to x + z*f + j*f**2 and give x.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pj when two letters picked without replacement from {p: 1, j: 3, c: 3}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 3*l**2 - 2*l - 3. What is the remainder when 21 is divided by s(2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6480\/150*(-28)\/(336\/(-15)).\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by 55856\nAnswer: 1\/55856","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -25 + 23. Let r be ((-4672)\/48)\/(p\/21). Let z = r + -643. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 9048\/25 - 4608\/25. Let f = -176 + p. Is 3 > f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 70325999 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1809882?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.093 and -0.5.\nAnswer: 0.0465","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8045 is divided by 31.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 27 - -2 - ((-14)\/8)\/(74\/296). Solve 10*w + 8*w = -x for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*f + 15 - 3. Let s(j) = -6*j**2 - 140*j + 2*j**f + 140*j. Let d(p) = -2 - 4*p + 2. Give d(s(z)).\nAnswer: 16*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -546*o. Let n(l) = -26*l. Let r = -218 + 322. What is r*n(h) - 5*s(h)?\nAnswer: 26*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in -0.2, -4, 1\/2, 4, 1.1, -1619, -2?\nAnswer: -1619","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 - ((-6 - -22) + -7 - 6).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 12980 - 12740. Calculate the greatest common factor of 15720 and i.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 31*v. Let o(t) = -4*t**2 - 168*t + 2. Calculate o(m(j)).\nAnswer: -3844*j**2 - 5208*j + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 197*n = 248*n. Find u such that 4\/3*u**2 + 2*u - 4\/3 - 8\/3*u**3 + n*u**4 + 2\/3*u**5 = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -1667665.179 and -1.65?\nAnswer: 1667663.529","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -53*h - 16. Let j(c) = 66*c + 20. Let p(y) = -5*f(y) - 4*j(y). Let r(t) = 23*t - 3. What is p(r(g))?\nAnswer: 23*g - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.22 + -19.78. Let d = -8 - g. Let q = d + -11.99999965. Round q to seven dps.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 4338413 to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y**(2\/5)*y*y**(-2)*y*y)\/(y*y\/((y**(-4)\/y)\/y)*(y*(y**(-2)\/y)\/y)\/y))\/(y*y**(4\/7)*y*y**(-1\/4)*(y**(4\/3)\/y)\/((y*y**(-1))\/y)) assuming y is positive.\nAnswer: y**(-2207\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 629 and 37.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -232790, -232842, -232884, -232910, -232914, -232890, -232832?\nAnswer: -232734","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -4*c - 1. Let a(p) = 4 + 18*p - 4 - 19*p. Let t(x) = -13*x + 396. Let h be t(30). Calculate h*a(m) - 2*y(m).\nAnswer: 2*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 48 = -2*d, 15*l - 4*d = 11*l + 24. Let g be (4 - 0) + l + 65. Which is the biggest value? (a) 1\/2 (b) g (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = -5*f + 659, -2*z - 394 = -6*f + 3*f. Let j be 8\/(128\/12)*4*1. Suppose j*o - 59 = 2*i + 45, 4*i + f = 4*o. List the prime factors of o.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*i + 10*i - 2*w = -8, -10 = -2*i - 4*w. Put i, 3, -8, 0, -7 in increasing order.\nAnswer: -8, -7, 0, i, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -93 + 239. Let r = -314 + 213. Let c = r + p. Is c a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5025935 is divided by 19.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*v**5 + 0*v**5 - 4*v**5 + 2*v**4)*(-378 + 1001 + 2804 - 50).\nAnswer: 13508*v**5 + 6754*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -71 - -122. Suppose 2*u = 5*u - a. List the prime factors of u.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 506267?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 972802.\nAnswer: 2, 503, 967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1443*o**2 + 3 - 5 - 1497*o**2 + 2.\nAnswer: -2940*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 88572, 88395, 88108, 87717, 87228, 86647?\n\"Answer: s**3 - 61*s**2 - s + 88633","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zqqqzqq. Give prob of picking 2 q and 2 z.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j\/(j*((j\/j**1)\/j)\/j)*j))**20*(j**1)**22*((j**(1\/10)*j)\/j)\/(j*j**5)*j**(-5)*j\/(j*j**4*j) assuming j is positive.\nAnswer: j**(-339\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -201*f + 85*f - 3325 = 549*f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/(-270))\/((-332)\/1660)?\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*n**3 - 228*n**2 + 2808*n + 3040.\nAnswer: 4*(n - 38)*(n - 20)*(n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 4243482 (base 9) in base 15?\nAnswer: 2ed5cb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (6 - 4 + 2)*(2*g + 10*g + 14*g + 8*g) as n*g + l and give n.\nAnswer: 136","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 68*n**2 - 3*n + 2. Let w be y(-3). Suppose q = -2*a + w, -q = -3*a - 2*a - 651. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 3*g**2 + 2*g + 2. Suppose 0 = -10*v - 164 - 6. Let j be 7 + (v - (7 + -15)). Give d(j).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44 = -56*i + 45*i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the third derivative of -c**5\/20 + 2*c**2. Let f be 1 + (-3 - -1)\/((-7)\/77). Let b(o) = -24 + f*o - 26 + 50. What is b(n(a))?\nAnswer: -69*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 145*g + 126*g + 447*g**3 + 182*g - 448*g**3.\nAnswer: -g**3 + 453*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -89\/18 and 8931\/12285 + (-1)\/10.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -15*x - 28*x - 26*x + (-1 + 0 + 2)*(3*x - 4*x + 2*x) as n*x + m and give n.\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4860, 5178, 5480, 5760, 6012, 6230?\nAnswer: 6408","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -5780+4\nAnswer: -5776","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -721 at least -720?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*i - 3*w - 17, 204*i - 203*i - 3*w - 11 = 0 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -828 (base 16) in base 13?\nAnswer: -c48","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 62, 3, -5, 6, -1 in descending order.\nAnswer: 62, 6, 3, 0, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*((sqrt(162) - 1*sqrt(162)*-1) + -2*(sqrt(162) + sqrt(162) + 2))*-1)**2.\nAnswer: 3600*sqrt(2) + 16600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Are -46243\/5 and -9248 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -43 - (-3 + 2 + 1 + -47 + 39)\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = k**2 + 34. Let g be r(0). Let h = 3 + g. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2058)\/sqrt(6) + sqrt(21)\/sqrt(75) + sqrt(7) + sqrt(7))**2 + -1*sqrt(252) + sqrt(7) + 3*sqrt(7)*1)*1.\nAnswer: -2*sqrt(7) + 14812\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-25)\/g*g**(-2)*g**(3\/14)\/(g**(-2\/45)\/g*g))**(-11\/6) assuming g is positive.\nAnswer: g**(192247\/3780)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -110*a**2 - 363*a**2 - 74*a**2 + (0*a - 2*a + 0*a)*((0 + 0 + 1)*(-3 + a + 3) + 3*a + a - a).\nAnswer: -555*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = 5*z + 125, 3 = -z + 2*z. Let o = -17 + q. Is 11 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.4 - -0.3. Let q = 6 - 21. Let x be -2 - (-2)\/((-16)\/q). Which is the closest to n? (a) 5 (b) x (c) 2\/19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*m**3 + m**2 - 2*m + 3*m - 3*m**3 - m**3 as r*m**3 + n + s*m**2 + q*m and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -0.6 times 2666.97\nAnswer: -1600.182","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 3 - 6)*(6*g - 2*g - 14*g)*(2 + 2 - 6)*(0*g**2 + 2*g**2 - 3*g**2) to v + x*g**2 + f*g + o*g**3 and give o.\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**4)**(-32)\/(a**(-4\/7)\/(a*(a*a**(-4\/11))\/a*a*a)) assuming a is positive.\nAnswer: a**(-9609\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the third derivative of 7*n**6\/540 - n**5\/36 - n**4\/18 + n**3 - 2*n**2. Let k(t) be the first derivative of m(t). Find x such that k(x) = 0.\nAnswer: -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 - (-21 - -12) - 10) + (16 - -17)?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -393754880 by 128.\nAnswer: -3076210","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 453294*z**2 + 240230 wrt z.\nAnswer: 906588*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.3, 1, -0.3, -286, -62?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -47 - -46.85. Is c at most -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -147, 62, 393, 846, 1421?\nAnswer: 2118","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2442.279 milliseconds to seconds.\nAnswer: 2.442279","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = c**3 - 2*c**2 - 9*c + 7. Let i be m(4). Suppose -2 + 9 = t. Let -g + 3*g**2 + 2 + i - 2 + t*g = 0. Calculate g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((l**(-1\/3)*l)\/l)\/l)**(9\/4)*((l*l\/(l*l**(7\/2)))\/l)\/l**1)\/((l**(-3))**(3\/17))**(5\/14) assuming l is positive.\nAnswer: l**(-870\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -24266, -24672, -25350, -26300?\n\"Answer: -136*g**2 + 2*g - 24132","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the third derivative of x**4\/24 + 16*x**2. Let o(f) = 4*f + 3. Determine -o(r) + 3*p(r).\nAnswer: -r - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 47.292 + -49. Let x = -0.712 + c. What is x rounded to the nearest integer?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -a**3 + 4*a**2 + 8. Let h(m) = -m**3 + 3*m**2 + 8. Suppose -3*d - 5*f + 22 = 0, -1 = 3*d - f - 11. Calculate d*h(b) - 3*p(b).\nAnswer: -b**3 + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2332?\nAnswer: 2, 11, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 159827 rounded to the nearest 10000?\nAnswer: 160000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-2\/17)*q*q**(-6\/7)*q*(q**(-1))**(-12))\/(((q\/q**(1\/3))\/(q\/(q**(4\/5)\/q)))\/(q**(2\/5))**(-1\/36)) assuming q is positive.\nAnswer: q**(145093\/10710)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 10 + 26 = 0. Suppose -10 = -c + 18. What is the greatest common divisor of z and c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -12603 equal to -12606?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -53866*d + 27357*d + 27437*d as w*d + h and give w.\nAnswer: 928","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -100 = -3*j - 19. Let y be 1\/(-6) + (-1137)\/(-18). Calculate the highest common factor of j and y.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 104540203 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = 4*x - c + 13, -x - 2*c - 7 = 0 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 559?\nAnswer: 13, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -f**2 - 14*f - 2. Let n be -1*2 - (-8)\/(-2). Let a be g(n). Suppose -11*j + 9*j + a = 0. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i**5\/10 + 99*i**4 - 243017*i**3\/10 - 501938*i**2\/5 + 1944264*i\/5 + 7904288\/5 = 0 for i.\nAnswer: -4, 4, 497","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 244558.\nAnswer: 2, 122279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1059 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-16)\/24*-1*(-1 + 7). Solve -n - 5 = 3*p, -a*n + 2*n - 10 = 0 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = -5*c + h + 955, 0 = -4*c + 3*h + 760. Let s be (-15)\/(-10) - 1\/(-2). Suppose -c - 103 = -s*r. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n + 24 = -4*t, -2*n - 2*n = 5*t + 21 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-1 - -2) + -2)*2. Let l be x\/(-6)*-1*-6. Suppose l*t - 4*t + 70 = 0. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5184+3091\nAnswer: -2093","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7916?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4220 + 4220 - 92*y**2.\nAnswer: -92*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -3388763, -3388820, -3388973, -3389270, -3389759, -3390488, -3391505, -3392858?\n\"Answer: -8*q**3 - q - 3388754","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 783450 and 1350?\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -2*h - 5. Let o be q(-8). Find the common denominator of (9\/(-12))\/(o\/36) and 1\/2.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 10*b**2 - 2*b**2 - 24*b**2 as d*b**2 + i + o*b and give d.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2 + -1.6. Which is the third smallest value? (a) i (b) 2\/11 (c) 4\/7 (d) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:30 PM and 11:11 PM?\nAnswer: 341","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 2, -1, 5, -11 in increasing order.\nAnswer: -11, -5, -1, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 726 is divided by 39.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1166, 2332, 3498, 4664, 5830, 6996?\nAnswer: 8162","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (sqrt(2299) + 0)*-3 + 0 + (-2*sqrt(2299) - sqrt(2299)))**2.\nAnswer: -264*sqrt(19) + 82768","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) be the second derivative of -m**4\/2 - 19*m**3\/3 + 9*m**2 + 2*m. Let u(g) = g**2 + 6*g - 3. Let j(t) = -6*n(t) - 39*u(t). Factor j(f).\nAnswer: -3*(f - 1)*(f + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -849, 8, 50, 3, 2, 5 in decreasing order.\nAnswer: 50, 8, 5, 3, 2, -849","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4015453?\nAnswer: 13, 499, 619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 7193 to the power of 1\/5, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 16440757, 16440777, 16440799, 16440823?\n\"Answer: v**2 + 17*v + 16440739","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sum -558.6 and 703.\nAnswer: 144.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 226 and 17289?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -34, -66, -98, -130, -162?\nAnswer: -194","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -415 (base 10) in base 14?\nAnswer: -219","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-seven fifths of a millennium in decades?\nAnswer: 740","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 16, 6, -0.007.\nAnswer: -0.007, 3, 6, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -2*z + 5. Let f(o) = -2*o + 5. Let r(g) = -4*b(g) + 5*f(g). Let m(q) = 2. Let v(d) = -1. Let s(x) = 6*m(x) + 13*v(x). Calculate r(i) + 4*s(i).\nAnswer: -2*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(396) - (sqrt(396) + 0 - sqrt(396))*-6) + 5)**2 - (0 + 1*sqrt(1584) + -4*sqrt(1584)*-1).\nAnswer: 421","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 616771 to the nearest integer?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -17 - 9 + 31 - w**2 - 4 - w. Let p(u) = -3*u**2 - 5*u + 4. What is -2*k(l) + p(l)?\nAnswer: -l**2 - 3*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p + 3*v = -10, -132 = -3*p + 2*v - 126 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 3 + 6)*(-3*c - 1 + 1 + c + 3*c - 5*c + 3*c + 0*c - c + (-2 - c + 2)*(-2 - 1 + 1) + 5*c - 2*c - 2*c).\nAnswer: c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -26, 34, 192, 496, 994, 1734?\nAnswer: 2764","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*g**2 + g**4 - 5*g - 102 + 2*g**3 + g**4 + 117 + 4*g**2 to x*g**3 + d + c*g**4 + v*g + z*g**2 and give v.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 323*u - 45. Let g(h) = -969*h + 136. Let s(q) = 11*a(q) + 4*g(q). Differentiate s(t) wrt t.\nAnswer: -323","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6*8\/336*-1.\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*h - 8*h + 6*h + 2*h.\nAnswer: 3*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6455 + -6451. What is the second smallest value in 1\/4, -111, k, 2\/11, 0.3?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 17.8 + -18. Let i = 50 + -2. Let x be (-1)\/(171\/i - 3). Which is the second biggest value? (a) m (b) -0.5 (c) 2\/9 (d) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1827 (base 12) in base 13?\nAnswer: 142c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 4*q + 1. Let g(k) = -q + 0*k - 5*k + 6*k. Calculate g(2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 10 from -491.9975.\nAnswer: -501.9975","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*b - 5*a - 23 - 42, -641*a + 638*a = 5*b + 8 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1960 and 1487080?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 + 52 = 8*r. Let l be -2*(-2)\/r*10. What are the prime factors of -4 - ((-4)\/(-10) + (-267)\/l)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 16 and 200?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -14*c**2*q*y**3 + c**2*q*y + 2*c*q*y**2 - 20*c*q + c + 4*q*y**3 + 2*y**4 wrt y?\nAnswer: -84*c**2*q + 24*q + 48*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3559?\nAnswer: 3559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 200071 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 9 or 56015\/5604?\nAnswer: 56015\/5604","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -c - 8. Let z be t(-10). Solve 0 = -z*d + 5*d + 15 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 201*v + 65*v = 31 - 4819 for v.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*h**3 + 32*h**3 - 2*h**3 - h**2 - 10*h**3 - 6*h**3.\nAnswer: 9*h**3 - h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1785262*c**4 + 2882170 wrt c.\nAnswer: 7141048*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 126 divide 3122863?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -3, 25, 93, 219, 421, 717, 1125?\n\"Answer: 3*l**3 + 2*l**2 + l - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:59 PM and 6:38 PM?\nAnswer: 159","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*i**4 + 7*i**3 + 3*i**2.\nAnswer: i**2*(i + 1)*(4*i + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -23\/1241 and -23\/119.\nAnswer: 8687","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = r - 9. Let z be b(5). Suppose -3*i + 6 = -3. Suppose 0 = -2*l - l + g + 1, l = g + i. Sort z, 1, l in ascending order.\nAnswer: z, l, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 132486.03 minutes to days.\nAnswer: 92.0041875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -5*b - 12. Give z(-2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 65*-0.5\nAnswer: -32.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1517?\nAnswer: 37, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 804, 806, 808, 810, 812, 814?\nAnswer: 816","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does -47382703 = -47382703?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 102585139?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -24 - 32 - 14*f + 27. What are the prime factors of y(-13)?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*d - 5*d - j - 5100002, -5*d + j = 8499998. What is d rounded to the nearest one million?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l**3\/2 - 8865*l**2\/2 - 17727*l\/2 - 8863\/2 = 0. What is l?\nAnswer: -8863, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is (8\/6)\/(49\/1470) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.01 + 1.99. Let j = 0.09 + -4.09. Let o = j + u. Put -0.4, o, 1\/7 in decreasing order.\nAnswer: 1\/7, -0.4, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44 - 28 = -24*s. Let h(z) be the first derivative of 12*z - 2 + 3\/5*z**5 - 6*z**2 + 3\/2*z**4 - 3*z**s. Find x such that h(x) = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -19*y**2 + 13*y**2 + 7*y**2 + (3*y**2 - 5*y**2 + 0*y**2)*(0 - 1 + 5) + 10 - 10 + 15*y**2 as d*y + v + z*y**2 and give z.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 * 0.2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h**5\/10 - 7*h**4\/2 - 43*h**3\/5 + 229*h**2\/5 - 523*h\/10 + 37\/2 = 0. What is h?\nAnswer: -5, 1, 37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1.5 - -2.2. Let u = -1.7 + t. Which is the biggest value? (a) -5 (b) u (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2 + -3 - (-2 + 3). Let p be ((-9)\/12)\/(3\/a). Suppose -1\/4 - 1\/4*j**4 + 0*j**3 + 0*j + p*j**2 = 0. What is j?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -23 - -8. Let t = 15 - d. Is t a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-2632)\/42)\/(-47))\/(1\/((-36)\/(-88)))\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 - (28 + -17 + (0 - -8) - 4).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -18673063\/13563 + 106780\/411. Let v = 1117 + o. Let m = -317\/495 + v. Sort 1\/9, m, 1.4 in descending order.\nAnswer: 1.4, 1\/9, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -34 and -1231977?\nAnswer: 41887218","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 1015\/87 - (-3 + 33\/9)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30306 (base 7) in base 9?\nAnswer: 11073","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*n + 17*n = 13*n - 199512. List the prime factors of n.\nAnswer: 2, 3, 17, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 131945 and 55.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 11308474?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -17, 0, -2\/15 in ascending order.\nAnswer: -17, -2\/15, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + -5 + -4 + (sqrt(112))**2 - (2 + -2*2*sqrt(343)).\nAnswer: 28*sqrt(7) + 96","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 1 - 2*g)*(40*g - 40*g + 3*g**2) - 4*g**3 - 3 + 3 as r*g**3 + y*g + x + p*g**2 and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-6)\/32*-4 + (-4761843788)\/12720. Let w = -374358 - n. Calculate the common denominator of w and 7\/8.\nAnswer: 6360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -6020*c**2 + 3904*c - 16. Let b(f) = 62*f**2 - 1. Let n(l) = 16*b(l) - x(l). What is the second derivative of n(t) wrt t?\nAnswer: 14024","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/11, 2, 136757\/6?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-14)\/(-6) - (-234)\/27.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -n**2 - 26*n + 4. Let v(k) = -k**2 - 3*k + 30. Let o be v(-9). What are the prime factors of w(o)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 708, 5, -6, -5 in increasing order.\nAnswer: -6, -5, -3, 5, 708","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 8510\/50 - (-1)\/(-5). Let j = c - 175. Let s be (-4)\/(6\/15 - 0). Sort s, 0, j, -2 in descending order.\nAnswer: 0, -2, j, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = -5*v + 338, 5*v - 2*j - 353 = -11. Suppose 4*h = 2*f - v, f + h = -0*h + 31. Is f a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -14453.9087 - -14324.9. Let o = 125 + -254. Let k = o - j. Round k to 3 dps.\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2.5 - 11.9\nAnswer: -14.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 65 and 117?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zzkmmhkhkzzxmhzxzzk. Give prob of picking 2 m and 2 x.\nAnswer: 1\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 16, 2, 7, 1, -3 in increasing order.\nAnswer: -3, 1, 2, 7, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Are 567 and 557 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 869 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 27686 and 11176?\nAnswer: 254","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*m**2 - 1909832*m - 1909836.\nAnswer: 4*(m - 477459)*(m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -221\/168 - 1\/56. What is the closest to y in -5, 5, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 817*i**3 - 4*i**2 - 53*i + 110. List the prime factors of a(2).\nAnswer: 2, 7, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 - c + 2 + (-5*c - 3*c + 2*c)*(-3 + 1 + 1)*(1 + 1 + 0 + (2 + 3 - 1)*(-3 + 2 + 0)) - 2*c + 4*c - 3*c in the form m*c + u and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 46\/(-6) - 6\/(-9). Let l be (9 + r)*(-3)\/(-2). Differentiate 8*u**l + 68*u + 7 - 68*u wrt u.\nAnswer: 24*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -61120 divided by 80.\nAnswer: -764","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 23054548 and 165.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/6, 5, 113, -5, -0.111?\nAnswer: -0.111","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*2*sqrt(432) - -5*sqrt(243)*2.\nAnswer: 42*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -5*o - 3. Suppose o*z - 4 = -0*z. Let y(s) = 2*s**2 - s - 1. Let b be y(z). Solve 4*q - 3 - b = 0 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 minutes before 2:59 PM?\nAnswer: 2:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 54 divide 22078332?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 22, 41, 60, 79, 98, 117?\nAnswer: 136","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.05 - -0.25. Let y = 1019.7 + -1022. Which is the second smallest value? (a) l (b) 1 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 3*w - 92 = -0*n, -5*n - 212 = 3*w. Suppose -4*j + 2*j - 418 = -4*r, -515 = -5*r - 5*j. What is the units digit of r\/10 + 16\/n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 43, -4, 5, 3, -140 in decreasing order.\nAnswer: 43, 6, 5, 3, -4, -140","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 7\/((-105)\/10)*1515. Is 7 a factor of (-1)\/6 + 1\/(-12)*x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5353363701?\nAnswer: 3, 7, 101, 841327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2609 + -2614. What is the nearest to -1 in p, 43, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -46 + 2*d**2 + d**4 - 28*d - 5*d**3 - 85 + 133 + 6*d**3 in the form j*d**3 + k*d**2 + a*d**4 + b*d + m and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 367 minutes before 5:47 PM?\nAnswer: 11:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -8117.9704 rounded to the nearest ten thousand?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/(-2)*2*(-15)\/20.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = 3*b + 22. Let y(m) = 2*m - 6. Let f(l) = -10*l + 30. Let w(z) = b*y(z) - 2*f(z). Determine w(6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3772 and 791660.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -52\/3 and ((-70)\/32 + 2)*56\/2.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2522.8+6\nAnswer: -2516.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 70895 and 110?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -2*z - 2. Let u(t) = -2*t - 8. Let p be u(z). Solve -p*y - 4*j - 12 + 4 = 0, -4*y = -4*j for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:21 PM and 2:14 AM?\nAnswer: 173","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 221*l**3 + 52*l**2 + 52. Let f(c) = 13*c**3 + 3*c**2 + 3. Let s = -135 - -83. What is s*f(d) + 3*q(d)?\nAnswer: -13*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 51 times 0.0143\nAnswer: 0.7293","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1387 + -1392. Which is the nearest to 1? (a) 1 (b) -2\/41 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -82304 (base 10) to base 12.\nAnswer: -3b768","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 353?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 240744 divided by 2866\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 6187, 0.08, 214 in decreasing order.\nAnswer: 6187, 214, 0.08","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = y**2 - 27*y - 953. Let m be t(-34). Calculate the highest common factor of 177 and m.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 1\/6, 5, -5205, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-6)\/h)\/(h\/((h*h**1*h)\/h)))**(-4)\/((h**1)**21*(h**(-1))**12) assuming h is positive.\nAnswer: h**15","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(12)*2)\/sqrt(4) + sqrt(3) + sqrt(3) + sqrt(3) + -1 + sqrt(12)\/sqrt(4).\nAnswer: -1 + 6*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 64, 263, 594, 1057?\n\"Answer: 66*g**2 + g - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 20\/(-60) + 5168\/6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 5*c - c**2 + 5*c - 6*c + 4. Let o be l(4). Solve o*y = -20 - 0 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 275503*l - 275503*l - 770*l**4 + (l**3 + 0*l**3 - 3*l**3)*(3*l - 3*l - 2*l).\nAnswer: -766*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 26 (b) -3 (c) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:21 AM and 1:19 PM?\nAnswer: 418","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 577787 divided by -1.\nAnswer: -577787","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 14*w**3 + 4*w**2 - 4*w + 7. List the prime factors of m(4).\nAnswer: 3, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2 + -1. Let g = -22 - -22.2. Sort g, i, -2\/7 in increasing order.\nAnswer: -2\/7, g, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.0575 + -0.3575. Let z = 0.122 - -10.878. Sort 4, p, 1, z in increasing order.\nAnswer: p, 1, 4, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -j**2\/8 - 31221*j\/8 - 62410.\nAnswer: -(j + 16)*(j + 31205)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 3 = -2*n, -5*n - 5 = -r - 4*r. Let c be (4 + -1)*n\/18. Let h = -159 - -1747\/11. Is c > h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 w when two letters picked without replacement from {w: 3, h: 2, x: 6, j: 2, e: 2}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12\/20)\/((-4)\/330)*(-910)\/1365?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 41003121 is divided by 120?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 101 - -550. Let l = 1137 - w. What is the hundreds digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 396, 3, 1 in ascending order.\nAnswer: 1, 3, 396","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 64341885 a multiple of 61?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = 4*d - 76, d = -5*c + 34 - 3. Suppose 0 = -u + 4*a - d, -u = 2*a - 3 - 5. Find the first derivative of -7*f + 9*f + 15*f + 4 + u wrt f.\nAnswer: 17","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 2, 1.1, -5, 13, -1\/11?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1790 + 6*o + 1790 - 2*o**3 - 552*o**2.\nAnswer: -2*o**3 - 552*o**2 + 6*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -13 - -24. Let r = j - 7. Let x(f) = -f**2 - 10*f - 5. Let u be x(-9). Solve t - 3 = -r*q, -t - u*q = -5*t + 12 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (489\/4)\/(72\/96) is divided by 28?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 2 d when three letters picked without replacement from {s: 1, d: 4, r: 5}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3056 + 3067. Solve -50 = -21*a + n*a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.1, -1\/11, 10, 1968?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) be the second derivative of -73*k**5\/20 - 43*k**3\/2 - 5*k - 28. What is the second derivative of m(r) wrt r?\nAnswer: -438*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -1, 274494, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 53328?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*j + 6 + 4. Suppose j*p - 15 = -3*z + 5*p, -4*p = 16. Let y(a) = 1 - a**2 - z. Let k(i) = i. What is y(k(t))?\nAnswer: -t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 5 + 1)*(-5*t - t + 4*t) - t + 6*t - 4*t.\nAnswer: 9*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -8 - (-7 + 6\/(-6)). Let b be c\/(8\/(-8)) + 86000. Round b to the nearest one thousand.\nAnswer: 86000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -8326*p - 3456*p - 779316 - 610960 for p.\nAnswer: -118","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a - 4 = -3*x - 2*x, 4*a = -3*x - 16 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((0\/(-5))\/3)\/1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 223*v + 14. Let n be s(6). Suppose -4*m + n = k, -2*k - 1693 = -5*m - 4*k. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -11849 + 11854. Let i be 3\/(-12) - (-2)\/8. Solve i = -a + 2*v + 1, 0 = x*a + 6*v - 3*v + 34 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -28238 less than 6?\nAnswer: 28244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.179 (b) -2\/9 (c) -0.4 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 98 - 94. Suppose -3*s + w + 259 = 0, 0 = q*s + 2*w - 0*w - 342. Calculate the greatest common divisor of 43 and s.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 107557 and 6?\nAnswer: 645342","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -31, -4, 41, 104?\n\"Answer: 9*q**2 - 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34572157.\nAnswer: 34572157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that 2*x**3\/5 - 188*x**2\/5 - 240*x = 0.\nAnswer: -6, 0, 100","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 53120282.\nAnswer: 2, 26560141","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1429*b + 256*b + 39882 for b.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 461, 3737, 12629, 29945, 58493?\nAnswer: 101081","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*k - 3*k - 2*k)*((2 - 5 + 2)*(-1 - 2 + 2) - 6 - 16 - 3).\nAnswer: 24*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) be the third derivative of n**5\/60 - 13*n**4\/24 - 37*n**3\/6 + 30*n**2. Is 60 a factor of a(-9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 - 0 - (-14 + 0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7 + -2. Suppose 3*u + u = 4*l - 12, 14 = o*l - 4*u. Suppose -4*f = 3*j + 4, -l*f + j = -10 + 2. What is the units digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -i**3 - 6*i**2 - 1. Let d(b) = 2*b**3 - 12*b**2 - 5. Let j(q) = -d(q) + 2*y(q). Let t(w) = 9*w**3 - 5. What is -5*j(c) - 3*t(c)?\nAnswer: -7*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 382520263 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1413*f**2 + 2893*f**2 - 1414*f**2)*(7*f + 0*f - 11*f - 1).\nAnswer: -264*f**3 - 66*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zeezezzzoje. What is prob of picking 2 z?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -12*a**4 + 2*a**3 - 23*a*j + 3485*j wrt a.\nAnswer: -48*a**3 + 6*a**2 - 23*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31219755 is divided by 1486655.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = -2*b + 15. Calculate the lowest common multiple of 2 + 0 + (-8)\/(-1) and (-14)\/b*(5 - 8).\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(1\/2)*l)\/((l*l\/(l*(l\/l**(2\/27)*l)\/l)*l*l)\/l)*((l\/(l**(1\/4)\/l))\/l*l)**(-15\/8))**47 assuming l is positive.\nAnswer: l**(-115949\/864)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 10*w - 25 = 0, 5*x + 3020 = w. Let g = x - -63. Round g to the nearest one hundred.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13 + (-13 - (12 - 13))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 368112207?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -1*(3 - (1 - -2)). Suppose y = -3*c + 3*d + 6, -d + 22 = 4*c + 2*d. Solve -c = 3*t + 5 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 46, 43, 1 in increasing order.\nAnswer: 1, 4, 43, 46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6.23 + 6.53. What is the nearest to -1 in v, -13, 3, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -3.5, 2, 3, -1.3, -27\/5?\nAnswer: -27\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -4015 divided by 803\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-12)\/21)\/4 + 8*8\/140*-155?\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 260.6682 decades to millennia.\nAnswer: 2.606682","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -35*c**2 + 36*c - 20. Let v(g) = -33*g**2 + 32*g - 18. Let k(r) = 8*u(r) - 9*v(r). Let z(i) = -18*i**2 - 2. What is 4*k(s) + 3*z(s)?\nAnswer: 14*s**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = m**2 - 4*m**2 - 3*m**2. Let j(v) be the second derivative of v**3\/2 + 31*v + 6. What is j(a(r))?\nAnswer: -18*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1289 a factor of 5354506?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that 5*b**3 + 23640*b**2 - 379520*b = 0.\nAnswer: -4744, 0, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -1120 divided by 70\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = -6 + 18. Suppose 0 = -8*z + n*z - 24. Let l(o) = -o**3 - 12*o**2 - 4*o - 10. Does 17 divide l(z)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 673413 is divided by 1400?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 272447 is divided by 198?\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 12625 by -1032.\nAnswer: -12625\/1032","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 3*q**3 + 2*q**2 - 3*q - 2. Let f(h) = 5*h + 73. Let j be 2\/15 - (2 - 197\/(-15)). Let p be f(j). What is g(p)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -b**3 + 38*b**2 - 127*b + 737. Give x(35).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -1120.7294751 to the nearest 100.\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 3*z**2 - 4*z. Let j(q) be the first derivative of 4*q**3 - 9*q**2 + 182. Let d(b) = 2*j(b) - 9*k(b). Let s(a) = -111*a. Determine d(s(u)).\nAnswer: -36963*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5410 and 2450?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 799 and 141?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + 2 + sqrt(3) + sqrt(147)*1)*6 + -2)**2.\nAnswer: -192*sqrt(3) + 6916","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2 * 3232177.\nAnswer: -646435.4","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: What is -795723 rounded to the nearest 100000?\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by 115\nAnswer: -1\/115","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 3*s = -60. Let m = 7790\/16877 - 424\/2411. What is the nearest to 2 in m, s, -2?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 15\/(-35) - (-492)\/21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00169781082 to three dps.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1\/(-2)*-3)\/(15\/200). Suppose 16*v - p*v = -3772. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 112\/48*3\/21*-2\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-4*(sqrt(539) + 0))**2.\nAnswer: -43120","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*h = 3*h - 27. Suppose 0 = -s - 5, 2*f - h*s - s = 198. Does 19 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z, 1 n, and 1 x when three letters picked without replacement from znzkznuzoxozzzkzozn?\nAnswer: 9\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 38321.2 centuries to months.\nAnswer: 45985440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2254 is divided by 235?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 88 is divided by 40.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 73579 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -45642, -45650, -45670, -45708, -45770, -45862, -45990, -46160?\nAnswer: -46378","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8\/23 - -42\/253. Which is the second biggest value? (a) 1\/5 (b) -0.77 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 101 + -2234353003?\nAnswer: -2234352502","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 29222511 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*q + 2*q - 3*q)*(1 + 2*q**3 - 1) + (6*q**3 - 4 - 2*q**3 - 6*q**3)*(q + q - q) in the form z*q**2 + n + d*q + i*q**3 + l*q**4 and give d.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 669 is divided by 168?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*a - a - 5973. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 330035635 to the nearest one million.\nAnswer: 330000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -131\/3644916 and -92\/165?\nAnswer: 18224580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 232 and 56492.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3904407 a multiple of 117?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 3, 0.3, -11.88?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the first derivative of o**4\/4 - 5*o**3\/3 - 4*o**2 + 4*o - 10. Calculate r(6).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5.29 + 5.521. Let r = i - 0.331. Which is the smallest value? (a) r (b) -2 (c) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -175151*x - 99534*x + 83861*x.\nAnswer: -190824*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.06, 3, -0.2, 1\/7, -1\/3.\nAnswer: -1\/3, -0.2, 0.06, 1\/7, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 61*t + 274 = -46 + 76 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.023361 - -10376.331491.\nAnswer: 10376.30813","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 351*i + 20827 = 20476 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -8*q - 301. Let a(t) = 4*t + 151. Determine 5*a(f) + 3*p(f).\nAnswer: -4*f - 148","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 399 + -396. Solve -2*w = -5*x - 15, -5*w + i = -x - 0 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -3*t**2 - 70*t + 214. What is c(-26)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*d - 341325 = -24*d. List the prime factors of d.\nAnswer: 3, 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 9258006.2 to the nearest one million.\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = -26 - 22. Suppose 5*o = -k - p, 2*o + 4 + 2 = 0. Solve -2*l - k = 3 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -14*o - 90. What is the smallest common multiple of 1*38 + 0\/1 and v(-7)?\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -122*v**2 - v + 6. Let r(s) = -349*s**2 - 3*s + 17. Calculate -8*k(g) + 3*r(g).\nAnswer: -71*g**2 - g + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1596 and 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*h + 2*h**2 + 2*h)*(4 + 2 - 4)*(-2 - 2 + 2) - 547*h + 547*h + 185*h**2.\nAnswer: 177*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5.173 - -0.173. Let t be 2*1*2\/18. Sort t, r, -4, -0.3 in descending order.\nAnswer: t, -0.3, -4, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1801 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 571164 to the nearest integer?\nAnswer: 756","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 5*c**2 - 259*c - 47. Determine g(52).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 5*t = -1163, f - 3*t - 1457 = -4*f. Is 31 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*f**2\/3 - 40*f\/3 + 46.\nAnswer: -2*(f - 3)*(f + 23)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -48 - -66. What is the remainder when y is divided by 6?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = z**2 - z. Let f(d) = 11*d + 1. Let h(u) = -f(u) - k(u). Let c be h(-8). What is the first derivative of q**3 - c - q**3 - 6*q**3 - 4*q**3 wrt q?\nAnswer: -30*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6 (base 12) to base 16.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -37.22752 + 53.22671. Let y = z - 16. What is y rounded to 4 dps?\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 3, g: 4, q: 2, r: 1, h: 1}. What is prob of sequence kh?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(2 + 2*sqrt(605))**2 + (sqrt(140)\/sqrt(7) - sqrt(25)\/sqrt(5)*-4)**2.\nAnswer: 352*sqrt(5) + 9876","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1953\/(-13020)*110\/(-6)?\nAnswer: 11\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5*a*u**2 - 52*a*u + 2*u**3 + 2*u wrt u?\nAnswer: -10*a + 12*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 + 3. Suppose -q*o = 2*o. Solve o = -5*y - 28 + 3 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -12 + 15. Let h = 5 - l. Let p = -5 - -8. Is p at least as big as h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13668\/3216*128\/816.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*1*sqrt(156))\/(sqrt(24)*-4))\/(sqrt(72)\/(sqrt(12)\/sqrt(3)) - (sqrt(126) - 2*sqrt(126) - sqrt(126))\/sqrt(7)).\nAnswer: sqrt(13)\/72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4266666 is divided by 2334?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -16*c**2*d*w + 1816*c**2*d - 9*c**2*w - 5*c**2 + 5*c + 9 wrt d.\nAnswer: -16*c**2*w + 1816*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 33 - 5. Suppose 2*d - d - 9 = 0. Let t = w - d. Solve -z + 5*p = -0*p - t, -4*z = -5*p - 16 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -1277567*u**2 - 9*u + 54. Let r be g(12). Let q = r + 258369702. Round q to the nearest 1000000.\nAnswer: 74000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) -0.5 (b) 3\/10 (c) -2 (d) 2\/21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11\/22*-16 + -6.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*s - 2 + 2 + 2*s + 3*s + 0*s + s + 3*s - 2*s + 2 - 2 + 2*s + 1 - 1 + s + (s + s - s)*(5 - 4 + 1) - 2 + s + 2 + 3 - 3 - 3*s.\nAnswer: 8*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -1701, -3418, -5135, -6852, -8569?\n\"Answer: -1717*s + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 24733 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*f - f + f)*(65*f**4 + 84*f**4 + 2*f**3 - 174*f**4) - f - 2*f**5 + f.\nAnswer: -52*f**5 + 4*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -u**3 - 9*u**2 - 3*u - 9. What is i(-9)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.24 + -1.26. Let u = -3.96 - -5.56. Let k = s + u. Which is the smallest value? (a) k (b) -2\/7 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*q - 132 = 60 for q.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = 20, 60*y = -2*d + 57*y + 15353988. What is d rounded to the nearest one hundred thousand?\nAnswer: 7700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in thirty-two fifths of a milligram?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 + 0 = 2*g. Let j(p) = -p**3 + 7*p**2 - 7*p + 7. Let y be j(g). Suppose -2*n + y = -n. What is the smallest common multiple of n and 12?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 81 to the power of 1\/5, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.05 - -0.3. Let c = -12.75 - a. Let l = 12.999954 + c. Round l to 5 decimal places.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 44 and 165.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 640435036?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**2*r)\/r*r)\/(r*r\/r**3*r*r)*(r**(-1\/4))**(2\/39)*(r*r*r**10*r\/r**(-1))**(4\/17) assuming r is positive.\nAnswer: r**(7003\/1326)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4 - 0. Let b = -4.00000112 + c. Round b to seven decimal places.\nAnswer: -0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p and 1 h when three letters picked without replacement from phsph.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -365 (base 8) in base 13?\nAnswer: -15b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -t - 15. Suppose -4*l - 4*n - 23 + 211 = 0, l + 5*n - 27 = 0. Let v = 54 - l. Suppose 4 = h + 9, 0 = s - v*h - 2. Calculate q(s).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5784063499 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 102\/29 or 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 4*j**2 + 5*j - 14. Let h be s(2). Let y(g) = -3*g + 4 - 8 + 2*g + h*g**2 + 3. Let f be y(-1). What is the highest common factor of 156 and f?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 68 + -223. Let a = y + 49.2. Let t = a + 94. What is t rounded to the nearest integer?\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10318141 is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yyytytytbbt. What is prob of picking 2 y and 2 b?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/6 - 13\/(-3). Let w(l) = -d*l - l + l. Let q(o) = o + 1. Let m(g) = -3*g**2 + 4*g + 4. Let a(v) = m(v) - 4*q(v). Calculate w(a(p)).\nAnswer: 12*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/6 - 0)*(-5 - 414\/(-81)).\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*j - 45 = 40. Let n(i) be the second derivative of 0*i**3 + 0*i**2 - i + 2\/75*i**6 - 1\/50*i**j - 1\/105*i**7 + 0*i**4 + 0. Factor n(r).\nAnswer: -2*r**3*(r - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 84054.25 millimeters to nanometers.\nAnswer: 84054250000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 187*p - 2032. Is 2 a factor of j(15)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/9 + (-7)\/9. Let l = 4 - 0. Suppose 0 = 5*m + 4*h, -l*h + 4 = 5*m - m. Sort m, c, 0 in descending order.\nAnswer: 0, c, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor h**3\/4 - 9409*h**2\/4 + 297055*h - 584703.\nAnswer: (h - 9281)*(h - 126)*(h - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -14*d + 39. Let w(u) = -5*u + 13. Let f(q) = -4*r(q) + 11*w(q). Suppose -81*z + 83*z - 250 = 0. Let m = z - 119. Calculate f(m).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + 0 - (-5 - (-39 + (-11 + 11 - 2)))?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 2*z**2 - 96*z + 1517. Let x be u(42). What is the highest common factor of 1 and x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 303? (a) -57.34 (b) -0.4 (c) 1 (d) -2\/15 (e) 4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 2 + -10 - (2 + -11)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.624541684 rounded to 4 decimal places?\nAnswer: 0.6245","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 72 - 74.18. Let i = h - -1.88. Which is the nearest to -0.03? (a) 1 (b) i (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7163558339?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h + 3*h + 6 = 0. Let z be (-2)\/1*11\/h. Suppose z = 5*w - 24. What is the highest common factor of w and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 42*l + 17. Let r(a) = -12*a - 4. Determine d(b) + 3*r(b).\nAnswer: 6*b + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*a**3 - 14010*a**2 + 492732*a - 478720.\nAnswer: -2*(a - 34)*(a - 1)*(a + 7040)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11801, 23727, 35781, 47963?\nAnswer: 60273","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (24 - 29) + (-2 - -1) + 11.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 2*l**2 - 13*l - 2. Let q be i(7). Solve 6*b - b = q for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 7*j - 272 = 0. Let a be 2\/((-2)\/(-1)) - -33. What is the highest common divisor of j and a?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a litre in millilitres?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (933*s + 408*s + 1039*s - 553*s + 399*s)*(-2 + 0 + 6).\nAnswer: 8904*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -604 - -607. Solve 0 = v - 5*x - 8, -5*v + 6*x - t*x - 4 = 0 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2258522 - -0.12555?\nAnswer: -2258521.87445","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 52*l**2 - 9*l + 69. What is the remainder when r(6) is divided by 118?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) -1 (b) 1\/6 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 20, 0, 51, 111 in ascending order.\nAnswer: 0, 20, 51, 111","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53 = 4*x + 5. Suppose 2 + x = w. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*y - 311*i - 311*i + 620*i + 106 = 0, 5*y - 4*i + 69 = 0 for y.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 4*k**2. Let g(v) = 0*v + 7*v - 22*v. What is g(q(j))?\nAnswer: -60*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 3875201329 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -22285 - 4115. Round s to the nearest 1000.\nAnswer: -26000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 6) to base 16\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*v - 105 = -13*v. Let n(m) = -m + v - 17 + 4*m. Let z(j) = -7*j - 9. What is -5*n(d) - 2*z(d)?\nAnswer: -d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 14\/15 < 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -16*p - 4 + 0 + 3 to the form l*p + h and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -106*u - 517. Let p be i(-5). Let b be 4\/(4\/(-3)) + 6. Is p greater than b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the first derivative of -2 - 2*h + 1\/3*h**3 + 1\/2*h**2. Let l(r) be the first derivative of t(r). What is the derivative of l(d) wrt d?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 3*x**2 - 6*x + 10068. Let c(t) = t**2 - 2*t + 5035. Let l(r) = 5*c(r) - 2*g(r). Is l(0) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -377, -388, -399, -410, -421, -432?\nAnswer: -443","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l - 7*i + 70 = 0, -12*l - 30 = 944*i - 947*i for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -14 - -16. Suppose 0 = n*x + 3 + 7. Let r be 2\/(-110) - 1\/x. Which is the biggest value? (a) -0.1 (b) 2\/13 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 62 + 1?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + h - 46 = 32, 0 = -3*o - 2*h + 51. Is 4 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*p - 3*m + 6*m - 3, -4*p + 5*m = -3 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (18\/10)\/((-3)\/(-10)). Let i(b) = b - 3. Let d be i(f). Suppose v + 42 = d*v. What are the prime factors of v?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 81412?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 48647496.\nAnswer: 2, 3, 71, 28549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -319*p**3 + 169 wrt p.\nAnswer: -957*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 9554404 and 53440?\nAnswer: 668","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 351*u - 1510 = 49*u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 5102 to the power of 1\/2, to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -2*g**3 + g**2 + 3*g - 1. Let o be r(2). Let i(p) = 3*p**2 + 9*p - 1. Is i(o) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 z when three letters picked without replacement from zzzznn.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -87*w**3 - w**2 + w**4 + 83*w**3 + 4*w**3 - 10 + 0*w**4 - 53*w as m*w**4 + x + o*w + s*w**3 + g*w**2 and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - -4 - (32 - 28).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 27454687?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 46 - 26. Suppose 9*p + 7 = -u. Put -1, p, 5 in decreasing order.\nAnswer: 5, -1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-3450)\/(1\/2*-2). Let d = 10725 - l. Suppose -5*b + d = 5*z, b = z + 4*b - 1465. What is z rounded to the nearest 100?\nAnswer: 1500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 2 + 0)*(503 + 317*q - 503) in the form m + y*q and give y.\nAnswer: 317","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -4\/5, 1\/3, 1\/4, -3, 9.901, -0.01?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*g**3\/5 + 8*g**2\/5 - 62*g + 60 = 0. What is g?\nAnswer: -15, 1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 8573346253 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000109133 rounded to 7 dps?\nAnswer: -0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -1\/2193257?\nAnswer: -1\/2193257","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 244 minutes after 9:26 AM?\nAnswer: 1:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -8*h**2. Let d(i) = -525*i**2 + i - i - 472*i**2 + 1115*i**2. Calculate b(d(c)).\nAnswer: -111392*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (-3 + -2*sqrt(1331)*6 + 4)**2)*3 + -5.\nAnswer: -792*sqrt(11) + 574996","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1471550 and 30.\nAnswer: 4414650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.23875 rounded to two decimal places?\nAnswer: -2.24","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*s**4\/6 + 22163*s**3\/6 - 25321*s**2\/6 + 1055*s\/2 = 0 for s.\nAnswer: 0, 1\/7, 1, 3165","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6*p**3*t**4 - p**3*t - 2*p**3 - 9*p**2*t**5 + 7*p*t - 4 wrt t.\nAnswer: -72*p**3*t**2 - 180*p**2*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-12)\/(-22) - 4596\/(-44). Let b be (-2)\/4 - 182\/(-4). Suppose 3*v + 0*v - b = 0. Calculate the greatest common divisor of v and p.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/3 - (-56)\/6. Let z = i + -5. Let r(p) = p - 1. What is r(z)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2 - -2. Suppose -2*x + h - 7 + b = 0, 2*x + 4 = -2*h. Let g be x*((-24)\/9)\/(-4). Which is smaller: g or 1?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.44 - 33.44. Let k = -348 + 315.1. Let f = k - z. What is the nearest to f in -4, 3, 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 2*i = 26, -p - 28*i + 25 = -26*i. Which is smaller: -99 or p?\nAnswer: -99","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14705?\nAnswer: 5, 17, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 672, 2713, 6116, 10881, 17008, 24497?\nAnswer: 33348","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 304286264?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) be the second derivative of 5*l**8\/8 - l**7\/42 + 149*l**4\/6 - 123*l. What is the third derivative of a(b) wrt b?\nAnswer: 4200*b**3 - 60*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 48567?\nAnswer: 3, 16189","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -304556 (base 9) to base 6\nAnswer: -3511423","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -235, -254, -273, -292, -311?\nAnswer: -330","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 34 = -5*d - 2*u, -22 = d - 3*u. Let b be (d\/(-15))\/(2\/45). Solve -2*g + b = g - i, 0 = 2*g + 4*i + 4 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = y**2 + 4*y - 4. Let t = 1 - 6. Let r be x(t). Let m(p) = 33*p**2 - 1. Let w be m(r). Calculate the highest common factor of 48 and w.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 12*o**2. Let q(i) be the second derivative of -5*i**3\/6 - 57*i. Calculate q(r(t)).\nAnswer: -60*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 5080?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 2*s - 18. What is y(5)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 125 + 21345?\nAnswer: 21503","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r = 4*r - 15 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 2*b - 3*b + 13 = 0, 0 = 4*c + 3*b - 29. Suppose 0 = w - 5*w + 20. Suppose 20 = c*g + w. Put 5, 2, g in decreasing order.\nAnswer: 5, g, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 719 minutes before 8:48 AM?\nAnswer: 8:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 12*d*p**2 - d*p + 29*d - 67*p**4 - 33*p wrt p?\nAnswer: 24*d - 804*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3 + (-6)\/(-3))*1. What is the nearest to 0 in 3\/5, -3, s?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9894700 a multiple of 61?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 938 to the power of 1\/2, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 34\/5 of a kilogram in grams?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1100300330 - 11?\nAnswer: -1100301001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5.7 + -5.6. What is the closest to i in 1\/4, 2\/5, -2\/5?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3807593 to the power of 1\/4, to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out -355271 * -18.\nAnswer: 6394878","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1413, 2817, 4277, 5811, 7437?\nAnswer: 9173","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3*-11125.\nAnswer: -3337.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -98*g + 22 = 30*g - 2026 for g.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -212526 (base 7) to base 2\nAnswer: -1001000001100110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1 - -4)*(-1 + 2). Suppose 2*r - 3*m - 3 = -0*m, -2*r + n*m = -9. Does 11 divide (-3 - -28) + 0 + r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11362 a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -4*f**2 - 20*f + 7. Let p(b) = b**2 - 2*b - 1. Let h = -89 + 88. Let i(w) = h*p(w) + x(w). Factor i(v).\nAnswer: -(v + 4)*(5*v - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -9*l**2 - 3*l + 7. Let m(d) = -11*d**2 - 4*d + 10. Let q(y) = 5*m(y) - 6*p(y). Factor q(s).\nAnswer: -(s - 2)*(s + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 64222327.\nAnswer: 13, 29, 170351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c\/(c*c**(2\/7)*c))\/c)\/c**1*(c*c**(-1))**(5\/2))\/(c**(2\/3)*c**(-4))**(-3\/8) assuming c is positive.\nAnswer: c**(-127\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.18297 days in nanoseconds?\nAnswer: 620608608000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 94897 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -65\/4418806 and 25\/6?\nAnswer: 13256418","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -d**2 + 27*d - 3. Let q(i) = i**2 - 26*i + 3. Let w(m) = 2*q(m) + 3*r(m). Let t be w(6). What is the highest common divisor of 27 and t?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -r**3 - 7*r**2 - 5*r + 8. Let h = 28 + -55. Let c = 21 + h. Determine z(c).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 12398880 and 702?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -0.19*-1609\nAnswer: 305.71","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*g**2 - 2650*g + 35295.\nAnswer: -5*(g - 13)*(g + 543)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((-3 + sqrt(11))**2 + 3).\nAnswer: -30*sqrt(11) + 115","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(7)*-1 + -1)**2.\nAnswer: 2*sqrt(7) + 13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*n - 4*n + 18. Suppose -2592 = 4*a - 2616. What is the highest common divisor of n and a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -1, -0.2, 0.06, -4?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that -2*x**4 - 3482*x**3 - 1840188*x**2 - 229727680*x + 26340204800 = 0.\nAnswer: -728, -355, 70","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3248 - 92*q + 3248)*(3 - 3 - 2*q)*(2*q**3 + 0*q**3 - q**3).\nAnswer: 184*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7 + -3. Suppose -2*j = -4*j + z*g + 56, 3*g = -j + 18. What is the units digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4 (b) -2 (c) 1\/48576\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4.8, -0.4, 94\/13, -4\/3?\nAnswer: -4.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1 + 2)*2\/(-3). Let p = -30 + 31. Calculate the remainder when (o\/(-2))\/(1 + 0) is divided by p.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 10*m + 5. Let l(h) be the second derivative of -3*h**3\/2 - 2*h**2 + 1363*h. Determine -7*l(y) - 6*z(y).\nAnswer: 3*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that 18*a**3 - 9*a**3 - 5*a**2 - 8*a**3 - 3 + 7*a = 0.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 108674?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -4*f - 0. Suppose b**f - 5*b - 5*b**2 - 21 + 19 - b**3 = 0. Calculate b.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5043 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -371 - -380. What is the remainder when 43 is divided by v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yib when three letters picked without replacement from {d: 2, b: 5, y: 8, z: 2, i: 1}?\nAnswer: 5\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that 1\/3*m**2 + 8\/3 + 2*m = 0.\nAnswer: -4, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y**2 + 28*y + 86. Let n be k(-80). What is the greatest common factor of n and 44?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.2 - 3.8. Let m = 51.3 + -51. Sort x, m, -6 in increasing order.\nAnswer: -6, x, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5*15184\nAnswer: -75920","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-8 - 0)\/(-20 + 22). What is the third biggest value in 1\/2, -2\/27, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1978177 less than -1978177?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 88 + 137 = 0. Suppose 7*z - 2*z - s = 0. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the second derivative of 1\/20*z**5 + 4*z - 2 - 17\/3*z**3 + 7\/6*z**4 - 11*z**2. Does 10 divide d(-15)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 716143634?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2, -1\/4, 9\/5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 6*y + y + 3859 = 0, -3*y - 4833 = -5*o. Is 9 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at least as big as 418\/1593?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5992 and 6741?\nAnswer: 749","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 4, m: 9, l: 1, t: 5, g: 1}. Give prob of sequence ttqt.\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the third derivative of 1259*m**5\/30 + 31*m**4\/24 + m**3\/2 + 33*m**2. Let s be b(-13). Is s\/198 - 2\/11 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**2\/8 - 5*i\/2 - 69\/8.\nAnswer: (i - 23)*(i + 3)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 131 - 132. Let f be 4\/(-6)*(-7 - n) - -6. Solve 15*c - f*c = 10 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 28899, 29236, 29573, 29910, 30247?\nAnswer: 30584","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (190\/(-684))\/(4\/(-18))?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 39353?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 122 and 1037?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -c**3 - 7*c**2 + 6*c + 4. Let v be z(-8). What is the highest common factor of 40 and v?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -179303*j + 59722*j + 59737*j + 59857*j.\nAnswer: 13*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -n. Let g(v) = -12 + 2*v + 19*v**2 - 6*v + 10*v**2 + 4 - 23*v**2. What is f(g(d))?\nAnswer: -6*d**2 + 4*d + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 2796*f - 58096. What is c(20)?\nAnswer: -2176","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4225657659?\nAnswer: 3, 1408552553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*i + 2*i**2 + 4*i)*(1 - 1 - i**2) + 0*i**4 - i**4 + 0*i**4 + 3*i**3 - i**4 - 3*i**3 + 2*i**4 + i**4 - 2*i**4 + 2 - 5 + 5 + 5*i**4.\nAnswer: 2*i**4 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*z - 38 + 11 = 0 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/(-4)*(9\/(-27))\/1\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Do 3336 and 3324 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 12322622?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1164?\nAnswer: 2, 3, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 5, z: 11}. Give prob of sequence aaza.\nAnswer: 11\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 32554?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -189*g + 46 + 1466 for g.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 157*s**3 - 152*s**3 + 192*s - 385*s + 193*s.\nAnswer: 5*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 4*v + 2*v + 9 + v + 9. What is the tens digit of a(5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -3.83296 and 198.32551?\nAnswer: 202.15847","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -147*m**4 - 223110*m**3 - 467570041*m.\nAnswer: -1764*m**2 - 1338660*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -l**2 + 7*l + 21. Let y be f(9). Suppose 5*d - 236 = -0*d - y*q, -4*q = -8. List the prime factors of d.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4211 + 4198. Put 5, a, -46 in ascending order.\nAnswer: -46, a, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8493702589 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = -g + 10, 7*g - 3*g - q - 22 = 0. What is the units digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -4*t**2 - 19*t - 6. Let v be x(-4). Let s be 2\/(2 + (v\/(-10) - 1)). Sort 1, -5, s, 0.\nAnswer: -5, 0, 1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -100010001100 (base 2) in base 12?\nAnswer: -1324","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5\/2, -15, 22, -35, -301.\nAnswer: -301, -35, -15, -5\/2, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -58 + 54. Suppose 0 = b - 7*b - 12. Sort p, -1, b in descending order.\nAnswer: -1, b, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mk when two letters picked without replacement from {q: 2, m: 1, k: 1, h: 2, f: 1}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 5*v. Let m(a) = -a. Let q(t) = f(t) + 3*m(t). Let g(p) be the first derivative of -2*p**3\/3 - 45. Give g(q(i)).\nAnswer: -8*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 364139 is divided by 1369.\nAnswer: 1354","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 167 - 117. Suppose -2*m - y + 25 = 0, -5*m - 4 = -3*y - u. Suppose 0 = -t - 4 + m. What is the remainder when 12 is divided by t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 17 - 10. Suppose -4*c = 1 + t. What is the units digit of (c\/3)\/((-10)\/255)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 9372 and 13596.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4869 and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -51 - 40. Let i = -28 - y. Is 6 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 82549 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = c - 9. Suppose 5*h - 32 = 8. Let k be y(h). Which is greater: k or 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 4*b. Let n(r) = -5*r. Let m(k) = -7*l(k) - 6*n(k). Let h(o) be the third derivative of -o**5\/60 - 4*o**2 + 9. Give h(m(j)).\nAnswer: -4*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 7*x + 15. Let u be (3 + x + (7 - 1))*3. Find the second derivative of 0*c + 20*c + 17*c**4 - u*c**4 + 13*c**4 wrt c.\nAnswer: 108*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/2? (a) -80 (b) 0 (c) -6\/55 (d) 2\/21 (e) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 322 to the power of 1\/3, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 28783, 115150, 259101, 460624, 719707?\nAnswer: 1036338","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -2*p**2. Let f(u) = -5*u + 7. Let o be f(-8). Let s(r) = 3*r**2 - 47 + o. Determine s(j(b)).\nAnswer: 12*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 = d + 3*j, 0 = -4*d - 23*j + 22*j - 13 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 c when two letters picked without replacement from sdsdsdssdsscqjssc?\nAnswer: 9\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = n. Let z be y(4). Let c = 3 - z. Let x(u) = -1. Let a(m) = -m + 6. Give c*a(k) - 5*x(k).\nAnswer: k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**2\/2 - 27625*n\/2 + 110532.\nAnswer: -(n - 8)*(n + 27633)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -15*s - 22. Let g be 2\/(-5) - -21*(-8)\/30. Calculate the remainder when i(g) is divided by 23.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4 - -9. Solve -4*m = -a*m - 4 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (123*x + 131*x - 260*x)*(16*x + 7*x - 16 + x - 8) in the form i*x + g + m*x**2 and give m.\nAnswer: -144","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 26696288\/675 + -39550. What is the common denominator of -37\/60 and s?\nAnswer: 2700","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6233325 and 2671425?\nAnswer: 18699975","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 2349921 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -47, -85, -123, -161?\n\"Answer: -38*d - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-60)\/(-48)*2*4. Suppose h - 2*n + 2 - 10 = 0, 10 = -5*n. Suppose -t = h*i + i. Put i, 5, 3 in descending order.\nAnswer: 5, 3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, q: 1, m: 1, w: 1, x: 2, b: 2}. Give prob of sequence wy.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 16 - -6. What is the units digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19697 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-2\/7)*q)\/(q\/q**(3\/5)) assuming q is positive.\nAnswer: q**(11\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:49 PM and 11:16 PM?\nAnswer: 327","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.0187584 - -27.2330584. Let i = -27.2 + b. Round i to three decimal places.\nAnswer: 0.014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 136 is divided by 28.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -298*v = -326*v - 252 for v.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s\/((s**(-5)*s)\/s))\/s)**33)**(-7) assuming s is positive.\nAnswer: s**(-1155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7786*k**6*x**3 - 18*k**3*x**3 + 2*k**2*x**3 + 218*k**2 + 5*x**3 - 16*x + 1 wrt k?\nAnswer: -934320*k**3*x**3 - 108*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8146, -8334, -8846, -9844, -11490, -13946?\nAnswer: -17374","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 21 + (3 - 3)\/(-4). Suppose -5*u = -5*q - 105, 3*q - 3*u + 111 = -2*q. Let c = 29 + q. Solve 3*s + 2*x + 11 = 3*x, -p = c*s + x for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 45 times 6\nAnswer: 270","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1299607 + 255998. Let f = q - 905605. Round f to the nearest 100000.\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -83.0295 to 0 decimal places.\nAnswer: -83","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 5 (b) -0.071 (c) -0.155\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 224 = -656. Suppose u - m = -4*u. Suppose -6*a + 2*a + q = -64, a + 3*q = 3. What is the remainder when u is divided by a?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.19 - 0.1. Let h = -63.23 + 61.23. Which is the nearest to h? (a) d (b) -0.3 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 3.3 (b) 6 (c) -5\/4 (d) 3 (e) -0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 92 + -115. Let f = 23.4 + j. What is the nearest to 0 in 2\/11, -5, f?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39*x = 1733 - 1811 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3, -2\/9, -107, 2, -858\/23, -10?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 16 + -7. Let h = 8 - f. Which is smaller: h or 1.2?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = -5*l + 3 + 7, -3*k + 16 = -l. Let n(i) be the third derivative of 0*i + 0 - 1\/300*i**6 + 1\/60*i**4 - i**2 + 0*i**k + 0*i**3. Solve n(o) = 0 for o.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-7 - -6) + 138\/3.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:57 AM and 5:58 PM?\nAnswer: 481","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*w + 120 - 120)*(2 - 6 + 5)*(-4*w - 71 + 11 - 15) as h + i*w**2 + k*w and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in -0.5, -2\/77, -70\/11, 1\/2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 1190696?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2090884 and -0.223.\nAnswer: -466267.132","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 7051059 to the nearest integer?\nAnswer: 192","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1529532806?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-21)\/(-273)*26\/2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 33*i - 25. Suppose 0 = -4*d + 52 - 0. List the prime factors of y(d).\nAnswer: 2, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-1\/8)\/(i**(4\/5)*i)*i**2\/i**(-1\/3))**(-31) assuming i is positive.\nAnswer: i**(-1519\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -34 + 37. Suppose 4*w + 4*a = 124, 5*w - 134 = i*a - a. Solve -5*s - 3 + w = 0 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 3*b = 4*b - 15, 3*b - 9 = 0. Let s be 0 + (3 - w\/3). Find the first derivative of -k**s - 2 - 2*k + 2*k wrt k.\nAnswer: -2*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -8 - -12. Suppose b - 94 = 5*a, b + d*a + 5 = 72. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 137 + -1?\nAnswer: 136","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 263, 124, -107, -430, -845, -1352, -1951?\nAnswer: -2642","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 323816 is divided by 3055?\nAnswer: 3041","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-1))**(-6)\/(o**(-2\/81)\/o*o**17) assuming o is positive.\nAnswer: o**(-808\/81)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 43 (base 13) to base 15.\nAnswer: 3a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*k**2 + 148905*k - 148905*k.\nAnswer: -13*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -275 take away 262648980.98?\nAnswer: -262649255.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 76483992?\nAnswer: 2, 3, 13, 109, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -36, -37, -40, -45, -52, -61?\nAnswer: -72","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -10 - -7. Let d be ((-9)\/(-15))\/(2\/(-10)). Let s = d - g. Are 1 and s equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 134782 * 0.03\nAnswer: 4043.46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2179 - 1539. Calculate the highest common factor of 240 and y.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4350 = 5*u + 5*q, 4*u + 7*q - 3508 = 10*q. Let z = u - 870. Calculate the greatest common factor of z and 7.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -g**3 + 9*g**2 - 18*g + 6. Let y be k(5). Let i be 1\/(68\/y - 4). Solve 0 = i*d - 0*d + 3*j + 31, j - 7 = 3*d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 96\/2687 + -220237\/7142046. What is the common denominator of q and -161\/60?\nAnswer: 26580","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9307.\nAnswer: 41, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -10778140 greater than -10778140?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 37832635 by -4.\nAnswer: -37832635\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 31461 and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 n when two letters picked without replacement from {n: 5, f: 13}.\nAnswer: 65\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 87\/(4\/((-32)\/12)). Let c = -27 - p. Suppose 0 = -u - 3*t + c, -4*u + 0*t = -3*t - 139. What is the remainder when u is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 70 * -36.\nAnswer: -2520","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 51.9952468 to 0 decimal places.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) -2\/11 (b) -0.14 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 11.4 + 0.6. Let w = -11 + m. Which is greater: w or 2\/3?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 12*g - 9. Suppose 7 = 2*s - v, -4*s + 8*s + 3*v + 11 = 0. Let t be a(s). Factor t*l**3 - 3\/2*l - 3\/2*l**2 + 0.\nAnswer: 3*l*(l - 1)*(2*l + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve g = 89*t - 2764, 4*t + g + 539 - 658 = 0 for t.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 10050736?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (22\/10 + -1)*6565\/21008. Let x be 0\/(-3) + -1 + 1. Which is smaller: p or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 12*j + 4. Determine t(-6).\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4.2112 - -0.0312. Let x = 0.18 + f. Let u = -4.48 - x. What is u rounded to one decimal place?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -o. Let p(g) = 15*g + 11*g - 14*g - 2*g + 11*g. Let n(k) = -10*k. Let i(s) = s**2 + 6*s. Let t be i(-5). Let l(h) = t*n(h) - 3*p(h). Give l(m(a)).\nAnswer: 13*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5188756035 to the nearest integer?\nAnswer: 72033","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -2*((-12030)\/12 + -2 + -3) a multiple of 65?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*q - 3*w - 776, 6*w = 4*w - 4. Suppose -27*f = -22*f - q. What is the units digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 2*s**2. Let h(i) = -33931*i - 458. Determine h(a(l)).\nAnswer: -67862*l**2 - 458","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*c + 6*c - c - 10*c**2 to y*c**2 + v + j*c and give y.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -137\/150 and -121\/50.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 425640 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: Calculate 2*3\/21*14.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 a when three letters picked without replacement from {a: 4, g: 2}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = 4*g + 29, -2*g + 2 - 4 = 0. Sort y, -4, -2 in ascending order.\nAnswer: -4, -2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9342 divided by -2\nAnswer: 4671","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 + 3 + 0)*(-4*g + 1 - 1)*((4 - 4 - 2*g)*(3 + 1 - 6) - 2*g - 2*g + 6*g).\nAnswer: 96*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/27 in 3\/14, 0.22, 4\/7, 2?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 401*v**4 + 7*v - 3072.\nAnswer: 1604*v**3 + 7","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 28*w - 28*w + 13*w**4 + (14*w + 0*w + 2*w)*(2*w**3 - 6*w**3 + 3*w**3) + 6*w - 6*w + 8*w**4 - 4*w + 4*w - w**4.\nAnswer: 4*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -910 = -27*b + 17*b. Calculate the greatest common factor of b and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2535306 and 3802959.\nAnswer: 7605918","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -85 = 5*w - 3*b, -8*w = 5*b + 19643 - 19556 for w.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 8 - 11. Let f = 399 - 3595\/9. Sort f, b, 0.4 in decreasing order.\nAnswer: 0.4, f, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 976.2654 kilograms to milligrams.\nAnswer: 976265400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**4 + 27144761*w**3 + 81434277*w**2 + 81434275*w + 27144758.\nAnswer: (w + 1)**3*(w + 27144758)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 4*i**2 + 5*i - 8. Let f be x(10). Suppose 0 = -4*a + 3*t + f, a - t - t = 108. List the prime factors of a.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 5*g - 285. Let v(b) = -3*b - 5. Give -a(p) - 4*v(p).\nAnswer: 7*p + 305","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1c6 - -210?\nAnswer: 3d6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 0.4 (b) 2 (c) -6 (d) 932\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(-1\/27)*i\/i**(-29) assuming i is positive.\nAnswer: i**(809\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put together -2 and 6322768.\nAnswer: 6322766","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -7.1, -13, -3\/7, 10\/9, 3\/5 in increasing order.\nAnswer: -13, -7.1, -3\/7, 3\/5, 10\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 3497168555 to the power of 1\/8, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = -114 - 162. Suppose 0 = -5*t + 3*v + 450, t = -v + 2*v + k. What is the units digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t + 292 + 150 = -31*t for t.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 11339964\/(-54) + 4\/(-6). Round s to the nearest one hundred thousand.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 13*l**4 + 19*l**4 - 22*l**4 + (5*l + 5*l - 6*l)*(0*l**3 - 3*l**3 + 2*l**3).\nAnswer: 6*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 96038757.6 rounded to the nearest ten thousand?\nAnswer: 96040000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -13, -1, -65, 1\/13?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 8\/24*3 - -4. Solve 58 = k*p + 63 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (17 + -15)\/((-35)\/14).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 11 = 3*v, -7*v + 21 = b - 3*v. Which is smaller: b or -2\/83?\nAnswer: -2\/83","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**0*t)\/t**(-3))**13\/((t*t**1*t\/t**(-2\/13))\/((t**(-1\/6)\/t)\/t**(4\/5))) assuming t is positive.\nAnswer: t**(18283\/390)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*h - 65 - 17. Suppose -h + 13 = -7*q. Solve -v + 8 = 5*r + v, -3*r = 2*v - q for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24727971427 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*(k*k*k**1)\/k*k*k*k)**(-6)\/(k\/k**(-1\/4))**(-3\/16))**(-1\/48) assuming k is positive.\nAnswer: k**(763\/1024)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -i**2 + i. Let v be l(0). Let f(k) be the first derivative of 13 - 7\/5*k**5 - 4*k + v*k**4 + 0*k**3 + 0*k**2. What is the derivative of f(n) wrt n?\nAnswer: -28*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3658 + 3662. Solve -d*k - 19 = -3*b, -3*b = -5*k - 8 - 12 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 - 9 = o + v, 0 = 3*o - 2*v + 22. Let w be 3 - -5 - 12\/o. Calculate the greatest common divisor of w and 15.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 smaller than 115\/8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -34223113 (base 5) in base 7?\nAnswer: -2406403","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 421 divided by -5.\nAnswer: -421\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 804 + 7*s + 46*s**2 - 7*s + 833.\nAnswer: 46*s**2 + 1637","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 15803 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7.5 + -35.8. Let o = g - -28. Let v = -23.9 - -24. What is the third smallest value in o, -1\/6, -2\/15, v?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3 - 2 - 3)*(-2 + 1 + 0) + (5 - 1 - 5)*(-2 - 1 + 4) + 2 - 2 + 2)*(-4*p**3 + 2*p**4 + 4*p**3).\nAnswer: 6*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 111*i - 2916 = 77*i - 74*i for i.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 725?\nAnswer: 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 72.2114 centuries?\nAnswer: 722.114","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -268973355 divided by -5.\nAnswer: 53794671","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2.2 - -1.7. Let q = 0.2 - -0.8. Sort b, q, -2\/21 in descending order.\nAnswer: q, -2\/21, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ezzrlrzzllzz. Give prob of sequence rzle.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 651, 659, 673, 693, 719, 751, 789?\nAnswer: 833","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 17 - 11. Sort 0.3, -0.3, y in decreasing order.\nAnswer: y, 0.3, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 36388 is divided by 28?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (192\/576)\/((-2)\/66*-1)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-1)\/c)**(-1\/10)*(c*c**(2\/13)*c)\/(c*c**(-1)))\/((c\/c**0)**(-28)*c**(-2\/19)*c**(-1\/2)) assuming c is positive.\nAnswer: c**(76469\/2470)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*u - 3*u + 5*u**3)*(1340802*u + 1575*u**2 - 1340802*u) + (2*u - 2*u + 2*u**3)*(0 + 0 - u**2).\nAnswer: 7873*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -686 times 4?\nAnswer: -2744","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 10921640234 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -2*w**2 + w - 1. Let c(g) = -2*g**2 + g. Let y(p) = -3*c(p) + 2*o(p). Let i be y(2). Solve 3*v + i*n + n = -25, 8 = -4*n for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-11 - (13 + -6)) + 23 + 32.\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:51 AM and 2:03 PM?\nAnswer: 252","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (121*w + 4*w + 64*w)*(2 - 2 + w**3).\nAnswer: 189*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11*h - 5*h**4 + 2*h**2 + 4*h - 4 + 0*h + 10*h - 9*h**4 to z + k*h + a*h**3 + v*h**2 + i*h**4 and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence soos when four letters picked without replacement from {s: 7, o: 3}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 56298800 is divided by 389.\nAnswer: 386","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*c - 20 = 46. Let z be (36\/24)\/(c\/4 - -2). Suppose 0*x - z*m - 39 = -3*x, 4*x - 5*m = 56. Calculate the remainder when 79 is divided by x.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/10 of a litre?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -55, -116, -185, -262?\nAnswer: -347","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 52930729, 105861464, 158792201, 211722940, 264653681, 317584424?\n\"Answer: p**2 + 52930732*p - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 130 - 120. Suppose -4*a - 3*a = -630. What is the greatest common factor of n and a?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7852399 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -15397, 4, 1?\nAnswer: -15397","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 171 and 2641.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 (base 3) in base 2?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 226 divide 859264430?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 8 + (2 - -11 - (5 + -13 + 10))\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-28)\/70)\/((-4)\/1990) is divided by 19?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + -33523.0593274?\nAnswer: -33527.0593274","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 215, 432, 649, 866, 1083?\nAnswer: 1300","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -z**3 - 5*z**2 + 4*z - 7. Calculate q(-6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4710 - 2101. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the third derivative of -t**5\/60 - t**4\/6 + 3*t**3 + 2*t**2 + 24*t. Let a be u(-6). Solve -3*z = -3*y + 15 - a, 0 = 4*y - z - 3 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 5, 13, 14134, 0.1, -92, 1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17957 = -639*r + 63326 for r.\nAnswer: 71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence axb when three letters picked without replacement from {b: 2, a: 1, z: 3, i: 1, m: 3, x: 1}.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uqqypoiqpiioiupuu. What is prob of picking 1 y, 1 o, 1 u, and 1 i?\nAnswer: 8\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 15297 + -15241. Solve -10*g - u = 4*g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 8 = 0, 0 - 12 = -2*o - 3*m. Let d(c) = c + 0*c - o*c + 5*c. Let h(q) = 9*q. Calculate d(h(z)).\nAnswer: 27*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 179 = 171. Let c be 168*(25\/15 - 1). Suppose 0 = -p*n - 8, n - c = -3*r - n. Is 8 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.1 + 6.9. Let u = 7.7 - t. Let g = 0.011 + -0.011. Which is the nearest to 2? (a) -3 (b) g (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 579795.4 litres in millilitres?\nAnswer: 579795400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -199, 3, -1, -2 in decreasing order.\nAnswer: 3, -1, -2, -199","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 443888, 443935, 444052, 444275, 444640, 445183?\n\"Answer: 6*d**3 - d**2 + 8*d + 443875","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 175\/((-121975)\/492)*1?\nAnswer: -12\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.06 + 0.56. Let u be ((4 - 1)*-1)\/(-1). What is the second smallest value in u, 4\/9, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -605966990, -605966989, -605966988, -605966987, -605966986, -605966985?\nAnswer: -605966984","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*h**2\/7 + 82*h\/7 - 296\/7.\nAnswer: -2*(h - 37)*(h - 4)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen quarters of a centimeter in micrometers?\nAnswer: 32500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (239*x - 7 - 115*x - 121*x)*((-x + 3*x - x)*(3 - 3 - 3) + 0 + 0 - 3*x) + 1 + 8 + 6*x**2 - 8*x**2 in the form h*x**2 + s*x + t and give h.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -103 - -73. What is the smallest common multiple of 60 and ((-180)\/75)\/(4\/p)?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*c - 16*c + 30 = 0. Suppose -c*d = -2*d - 9. Find the third derivative of -2*r**2 - 6*r**d - 2*r**3 - 8*r**2 - 2*r**2 wrt r.\nAnswer: -48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 21471, 42945, 64419, 85893, 107367, 128841?\nAnswer: 150315","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 83477 - 23134. Is 32 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 5*r - 1. Let p be v(8). Let k = 60 - p. Let n = k + 2. List the prime factors of n.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = f**3 + 28*f**2 - 2*f - 53. Let k be p(-28). Solve -k*s - 1 = 9*n - 10*n, -n + s = 3 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1681?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -c**3 + 16*c**2 + 2*c - 6. Let y be d(16). Let p(b) = b**2 - 21*b + 2. Let t be p(y). What is the greatest common factor of 44 and t?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.7 + -1.3. Let v(f) = -f**2 + 9*f - 11. Let q be v(2). Let r = 588\/1445 - 2\/289. Which is the closest to r? (a) 1\/2 (b) j (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-44)\/(3 - -1) + 3. Let r = n - -10. What is the units digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*h + 3*h + h)*(4*h - h - h)*(-2*h + 4 - 4)*(-h**2 + 0*h**2 - 8*h**2).\nAnswer: 72*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 883*m**2 + 185430*m + 30. Determine t(-210).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2 - 243024.\nAnswer: -243024.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.486080015 and 7385.\nAnswer: 7384.513919985","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the third derivative of o**6\/120 - o**5\/60 + o**4\/24 + 3*o**3 + 4*o**2. Is z(0) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 346887524?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 8*v - 2. Let b be o(6). Suppose 3*m = -4*i + 110, -b = 4*i - 3*m - 168. Does 13 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 10\/(-165)*3 - (-13)\/11. Solve -3*g - s = -2*m + 12, -2*g = 3*m for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1826316 by 59.\nAnswer: 1826316\/59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*h - 2*h + 2*h)*(-5 + 5 - 2*h) - 22 + 22 - 5*h**2 + 4 + h**2 - 4 + 148*h - 148*h - 30*h**2.\nAnswer: -38*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*x - 6*x - 200. Suppose -2*d = -5*d - 63. Let y be 6\/(-5)*700\/d. Calculate the greatest common divisor of y and x.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 4 = -13. Let m = g - -6. Let o be 33 + 0 + (m - 3). What is the greatest common divisor of o and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10\/(-6)*84\/(-60)?\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(12)\/(sqrt(6) - (sqrt(384) - (sqrt(384) - sqrt(384)*-6))) - (sqrt(216)*6)\/sqrt(12).\nAnswer: -881*sqrt(2)\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -42 - 5?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 70 = 3*f. What are the prime factors of f?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4 + 11102032?\nAnswer: 11102041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 681 - 3971\/6. Find the common denominator of y and 39\/1040*35*-4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*b + 3*a - 50, -23*b + 25*b - 7*a = 8 for b.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 0*i + 16 = 0. What is the common denominator of 47\/2 and (8\/12)\/(i\/(-249))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 2 v when three letters picked without replacement from hvhuvvuhush?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gggvsdvpedgeespd. Give prob of sequence ggvs.\nAnswer: 1\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -965, -4259, -9735, -17381, -27185, -39135, -53219, -69425?\n\"Answer: 2*w**3 - 1103*w**2 + w + 135","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1065 + -1070. Let f = 4.9 - 5. Which is the closest to 0.11? (a) o (b) 0.1 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*n**2 - n + n - 75*n**2.\nAnswer: -72*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 17.0111 + -0.0111. Let l = q + 50.4. What is l rounded to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 3*s. Let a(o) = -3*o**2 + 2*o + 70. Give d(a(i)).\nAnswer: -9*i**2 + 6*i + 210","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 328*i + 6027. Is 25 a factor of x(-11)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -292404\/1133 or -257?\nAnswer: -257","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -a**2 + 18*a + 990. What is r(-17)?\nAnswer: 395","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1396*b**3 + 1420*b**3 + 4 - 4 - 4174*b**3 + 1386*b**3.\nAnswer: 28*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*w**3 - 2*w**3 + w**4)*(-2*w + 2*w + 2*w) + 18*w + 0*w**5 - 14*w - 2*w**5 + (-4*w**3 - 4*w**3 + 6*w**3)*(19*w**2 - 22*w**2 + 42*w**2).\nAnswer: -78*w**5 + 4*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -2 - -5 - (-1 - -2) - -1. Suppose -n - v = -7. Solve m = n*m + 15 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 22097388 by 20886.\nAnswer: 1058","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) be the first derivative of 11*u**2\/2 + 83*u + 4006. Calculate k(-7).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*u**3 - 2178*u**2 + 334473*u + 1023102.\nAnswer: 3*(u - 503)*(u - 226)*(u + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 433302, 866572, 1299852, 1733148, 2166466, 2599812, 3033192?\nAnswer: 3466612","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 at least -21?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3, -10, -19, -30, -43, -58?\nAnswer: -75","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5521377.00066 + 5521447. Let s = -57 + -13. Let l = i + s. Round l to four dps.\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the first derivative of -y**4\/4 + 11*y**3\/3 + 11*y**2\/2 + 23*y + 21. What is the remainder when 11 is divided by r(12)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -175 + 223. What is the smallest common multiple of o and 3?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/2, 15, 17\/8, 5320?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 3*c = -6849, -3*l + 2*c = -2888 - 3963. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ddf when three letters picked without replacement from {d: 4, f: 6}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20336541.\nAnswer: 3, 739, 9173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -d**2 + 11*d - 8. Let k be m(10). Let g(n) = 27*n - 1. What is the remainder when g(k) is divided by 18?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -8 - (10\/6 + (-64515)\/207). Solve 277 = -5*l + v for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 134 + -124. Factor -4*k**3 + 2*k**4 - 3*k**2 + 4*k**4 + 11*k**2 - h*k**4.\nAnswer: -4*k**2*(k - 1)*(k + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1024 + -1040.98. Let n = 0.02 - t. Let b = 17.3 - n. What is the closest to -1 in 3, -1, b?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (b**2 - 2*b**2 - b**2)*(3*b - 20*b + 6*b) + 4*b**3 - 2*b**3 - 3*b**3 to the form v*b**2 + c + s*b**3 + r*b and give s.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 83 in -2\/5, 1\/3, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 3*m - 7*m + 7 - 2*m - 2*m + 0*m. Let l(g) = -8*g - 7*g + 10 + 3. Determine 6*l(t) - 11*x(t).\nAnswer: -2*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 227 - 248. Is -2 > v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -2*b**2 - b + 5. Suppose 17*w + f + 3 = 22*w, f = -2*w - 3. Give d(w).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 3*b - 10. Let x be p(3). Let c be x\/3 - 35\/(-15). What is the third derivative of 5*z**2 - c + 2 + z**2 - 18*z**6 wrt z?\nAnswer: -2160*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in seven sixths of a century?\nAnswer: 1400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39*p - 22*p = -81 - 163 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -432*q + 27. Let m(j) = -13*j + 2. What is -2*m(i) + v(i)?\nAnswer: -406*i + 23","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:24 PM and 11:46 PM?\nAnswer: 202","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 = 2*v + 9 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -89\/3 - -29. Let f = 0.1 + 0.1. What is the closest to k in -3, 0.3, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2 - -45498?\nAnswer: 45496","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by 775?\nAnswer: -4\/775","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put together -8153.96 and -20252835.\nAnswer: -20260988.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1542?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 a when four letters picked without replacement from kaaakkaaakkkkackkka.\nAnswer: 35\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f, 1 k, and 1 w when four letters picked without replacement from {f: 4, k: 1, q: 3, w: 7, g: 1}?\nAnswer: 3\/130","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 22898199689 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 21375000 to the nearest one hundred thousand.\nAnswer: 21400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = -s + 12. Let h be 16\/(-12) - 4\/s. What is the remainder when 6 is divided by (h - 0)\/2 - -5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 6*h + 48. Let k be j(-9). Let q(d) = -d + 2. Let z be q(3). Sort z, 3, k.\nAnswer: k, z, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 137*o**4 + 59*o**3 - 687*o**2 - 9072226.\nAnswer: 548*o**3 + 177*o**2 - 1374*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5 + -1. Calculate the remainder when 1\/c - (-333)\/54 is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7 by 13.\nAnswer: 7\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = 5*g - 95, -4*g + 52 = -4*w + 6*w. Suppose -3*m = -3*m - g*m. Suppose 6*i - i - 4*k - 177 = m, k - 76 = -2*i. Which is greater: i or 36?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -11*j**2. Let c(v) = 11*v**2 - 3. Let z(o) = 2*o**2 - 1. Let s(h) = -2*c(h) + 6*z(h). Determine u(s(x)).\nAnswer: -1100*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -113 (base 4) to base 3.\nAnswer: -212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 198.8197 grams?\nAnswer: 0.0001988197","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 12, n: 2, s: 2, k: 4}. Give prob of sequence snk.\nAnswer: 2\/855","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*z + z - 3*c - 635, 2 = c. What is the tens digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2141321 and 5?\nAnswer: 10706605","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -421\/6 + 69. Find the common denominator of m and 21\/2.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1099 - -1099.3. What is the second smallest value in 4, -25, -0.1, l?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 1, o: 1, x: 1, m: 3, e: 3, t: 5}. Give prob of picking 1 e and 3 m.\nAnswer: 3\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-66)\/594)\/((-25)\/(-30)).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 104 = -k, 2*j + 5*k = -0*j + 60. Let c = j + 7. Calculate the highest common divisor of 243 and c.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -118 + 133.6. Let m = l - 16. Let y be ((-8)\/10 - -2)\/2. What is the third smallest value in y, -2\/13, m?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -127, -586, -1417, -2674, -4411, -6682, -9541, -13042?\n\"Answer: -9*s**3 - 132*s**2 + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 4*q + 91 - 341 = 0, -4*x = q - 509. What is the hundreds digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -27 - -27.00064. Round i to four decimal places.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:03 AM and 12:12 AM?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*x + 3*x - 12 = 3*a, -a + 4*x - 4 = 0 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 times -12809\nAnswer: -6404.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -28839, -60016, -91191, -122364, -153535, -184704?\n\"Answer: b**2 - 31180*b + 2340","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*f**2 + 499 - 163 - 169 - 167.\nAnswer: 22*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.003511041 rounded to 6 decimal places?\nAnswer: -0.003511","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*c + 2*c + 0*c + 3)*(-60 - 87 + 90)*(-3 + 3 + 2*c).\nAnswer: 228*c**2 - 342*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -54*t - 207. Let k be s(-3). Let y be (2\/6)\/(12*k\/(-1296)). Solve 0 - 2\/5*n**2 + y*n = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -i + 4. Let o be (-4)\/(-26) + 774\/39. Suppose -5*h + o = -h. Determine j(h).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -9*m**3*r**2*y - 3*m**3*r**2 - 2*m**3*r*y**3 + 687*m**2*r*y**3 + 3*m*r**2*y**3 + m*r*y wrt r?\nAnswer: -18*m**3*y - 6*m**3 + 6*m*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.6, -0.3, 5, 2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) be the first derivative of 3*v**4\/2 - v**3 + 3*v**2\/2 + 13. Suppose 57 = 23*q - 12. Let x(r) = -11*r**3 + 5*r**2 - 5*r. Give q*x(h) + 5*j(h).\nAnswer: -3*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2698 - -2697.998. What is the fourth biggest value in 2\/7, 1\/4, 2, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-15 + 9)\/(1 - 3) + 314.\nAnswer: 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = m**3 + 18*m**2 - 21*m - 41. Let k be z(-19). Let h = 0 + 3. Sort 5, k, h in decreasing order.\nAnswer: 5, h, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.277 rounded to two dps?\nAnswer: 5.28","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eayaeyeyeyyeeey. What is prob of sequence eee?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/(-8)*19\/(2052\/(-126))*(-232)\/319.\nAnswer: -7\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) be the first derivative of -3*g**2 - 4*g + 4. Let o be c(-4). What is the second derivative of -2 + 5*i**4 + o*i - 10*i + 2 wrt i?\nAnswer: 60*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*z + 10*z - 3*z)*(5*z + 2*z**2 - 5*z) to the form m + u*z + j*z**2 + f*z**3 and give f.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1027633 to the nearest integer?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s - 2*f + 18 = 0, -s - f = 2*f - 5 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/9, -1\/3, 6\/11, -1 in increasing order.\nAnswer: -1, -1\/3, -2\/9, 6\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -54\/299 and -59\/5037?\nAnswer: 65481","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -3*t - 2. Let a(w) = 7*w + 5. Let b = 9 + -19. Calculate b*v(s) - 4*a(s).\nAnswer: 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5547 + 12542?\nAnswer: 20311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2 + 6\/(-9)*(-162)\/(-12). Let x be (0\/q - (-2)\/(-20))*-2. Put 2, x, -48 in descending order.\nAnswer: 2, x, -48","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 188246\/9 - 20991. Let m = c + 75. Put m, -2\/5, 28 in decreasing order.\nAnswer: 28, m, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -454, 4, -17, 64 in descending order.\nAnswer: 64, 4, -17, -454","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-276)\/8*(-2)\/15 + -5. Which is the nearest to 2? (a) -0.06 (b) 0.2 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 174303720 to the nearest integer?\nAnswer: 559","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19135 is divided by 11?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -c**3 + 15*c**2 + 2*c + 229. Let g be m(16). Sort -136, 7, 3, g.\nAnswer: -136, 3, g, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 281422, 281142, 280860, 280576?\n\"Answer: -z**2 - 277*z + 281700","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 2 d when three letters picked without replacement from dddlwul.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = j**2 + 14*j + 22. What is the units digit of z(-13)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y - 3*s - 2 - 1 = 0, -4*s = -3*y + 25 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -5 + 165\/35 - 4\/(-14). Let v be 1 - 4 - 12\/(b - 3). Let z(p) = -p. Let u(y) = -2*y**2 + y. Determine v*z(s) - u(s).\nAnswer: 2*s**2 - 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -l**3 - l + 2*l**3 - l + 105 + 3*l - 162. What is x(0)?\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 9) in base 8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -161\/60 and 104\/(-36)*(-21)\/16.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 17\/(-35) + 4\/14. Let m = 40354 - 201772\/5. What is the closest to m in -3, v, -4\/5?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (0 - (-7)\/(-21))\/((-6)\/900). What is the highest common factor of 275 and t?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -45*g*p - 3*g*v**3 + 2*g + 4*p*v**3 - 548*p*v - 2*p - 12 wrt v.\nAnswer: -9*g*v**2 + 12*p*v**2 - 548*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -q + q + q + (3 - 5 + 0)*(-4*q + 3*q - q) + (-3 - q + 3)*(-1 + 3 - 1) + 15*q + 39*q + 16*q.\nAnswer: 74*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -2910, -5\/2, -1572, -9, 1\/4 in decreasing order.\nAnswer: 1\/4, -5\/2, -9, -1572, -2910","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 2, j: 4, s: 10, i: 3}. What is prob of picking 2 s?\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 5*l - 59. Let k = l - 9. Let y(x) = x. Let o(a) = 4*a + 1. Let z(u) = o(u) - 3*y(u). Determine z(k).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5.2 - -38.2. Let y = s - 9. Let g = -23.9 + y. Which is the closest to 1\/3? (a) 2 (b) -0.4 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-1)\/(-4))\/(10\/840) is divided by 10.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 102519049 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1798, -6635, -14692, -25969, -40466, -58183?\nAnswer: -79120","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1554 is divided by 31?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 63666372 to the nearest integer?\nAnswer: 7979","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = 7*u - 18. What is the greatest common divisor of u and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 127 + -125. Find the third derivative of 17*m**j - 22*m**3 - 130*m - 131*m + 261*m wrt m.\nAnswer: -132","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that -4*l**3 - 4*l**2 + 40*l - 32 = 0.\nAnswer: -4, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*y - 15 = 9. Solve -y - 3 = -2*v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 2*f**2 - 34*f + 1. Let x(j) = -85*j**2 + 1020*j - 30. Let b(o) = 30*t(o) + x(o). Let h(a) be the third derivative of -a**5\/20 + a**2. Give b(h(r)).\nAnswer: -225*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10110 - -1001100100110111100101?\nAnswer: 1001100100110111111011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out -6 * 0.688997.\nAnswer: -4.133982","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -1620055900 rounded to the nearest one million?\nAnswer: -1620000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b = -3*m + 5, 5*b - 6*b - 5*m + 14 = 0 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 7 + 8 - 15 + 6 + 4*z**2. Let l(m) = 3*m. What is r(l(x))?\nAnswer: 36*x**2 + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (16\/12)\/((-1070)\/321). What is the closest to a in -3.8, -1\/5, 1\/2?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -x**3 - 21*x**2 - 25*x + 60. What is v(5)?\nAnswer: -715","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -30.7 - -53.7. What is the nearest to 1 in s, -1\/6, -2\/7, -4?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(112) + (sqrt(112) - (sqrt(112) + 3 - sqrt(112) - sqrt(112))) + sqrt(112) - (sqrt(112) + 2*sqrt(112))*-4)**2.\nAnswer: -640*sqrt(7) + 28697","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = w - 2. Let z(q) = -6*q + 10. Let i(j) = 5*j - 9. Let l(f) = -4*i(f) - 3*z(f). Calculate 3*l(s) + 8*x(s).\nAnswer: 2*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 1025880?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = g**3 + 5*g**2 - 8*g - 12. Suppose -r + 23 = -4*t, -16 - 10 = 5*t - 4*r. Let s be z(t). Solve s = -5*m + 3*w + 16, -2*m - 2*m = -3*w - 14 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1670168 a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -219681040 rounded to the nearest one million?\nAnswer: -220000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 2*w + 10 = 0, 4*w - 5 = -w. What is the remainder when 34 is divided by (z\/(-6))\/(2\/(-48))?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*z**2 + 5*z**2 - 4*z**2 + (117 - 26*z + 2*z - 115)*(7*z + 5*z - 5*z)*(-2 - 2 + 6).\nAnswer: -337*z**2 + 28*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 10 = 3*m + 5*q, -10 = m - 2*q. Is (-53)\/(8\/m - -3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-6)\/8*(-3980)\/597. Let k(i) = 15*i + 5. Let w(m) = -29*m - 9. What is b*k(q) + 3*w(q)?\nAnswer: -12*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4844*h + 4848*h = 4*f + 12, -f - 3*h = -5 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -744 divided by 8.\nAnswer: -93","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from emvbembbvbeebbbb. Give prob of picking 1 m and 1 e.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 40975 divided by 40975\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -365, -745, -1139, -1547, -1969?\n\"Answer: -7*c**2 - 359*c + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 29243\/14 - 4177\/2. Which is the closest to 6? (a) o (b) -2\/5 (c) 2\/13 (d) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2854 < -2860?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v + 4*l + 10 = 8, -2*l + 404 = 5*v - 2*v + 361 for v.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -49*c**4 + 0*c + 44*c**4 - 6 + c - c**3. Let w(n) = n**4 + 1. Let i(v) = 4*j(v) + 22*w(v). Factor i(z).\nAnswer: 2*(z - 1)**3*(z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1106 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve m + m - 4*o = 14, 0 = 3*m - 4*o - 17 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 15 - 17. Let p be (-2)\/(((-16)\/(-36))\/s). Suppose p*v - 5*v = 64. Calculate the remainder when v is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -165 + 145.8. What is f rounded to zero decimal places?\nAnswer: -19","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -0*o - o. What is the common denominator of (-49)\/(-36) - (-2)\/o and (2 - (-57)\/(-30))*37?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bbeeeeb. What is prob of sequence eebb?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/8*(-16352)\/876.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7)\/(63\/12)*3?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-90)\/(-25) + (-12)\/3. What is the nearest to 2\/9 in 0, 1, b?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z + 1. Let d(i) = 7*i + 4. Let r be (-4)\/16*-2*(0 + 2). What is r*d(x) - 5*f(x)?\nAnswer: 2*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/(-4)*((-12)\/6 + 6). Solve b + 22 = -4*w, 4*b + 4 = z*b for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, g: 2, y: 4, j: 1}. What is prob of sequence yc?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 500 and 26679.\nAnswer: 13339500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 8483 by 17.\nAnswer: 499","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 24 = 4*u, 5*i + 2*u = 7*u - 15. Let o(m) = 4*m**2 - m + 1. Let c(v) = 3*v**2. Suppose 28 - 3 = 5*h. Let j(k) = h*c(k) + i*o(k). Factor j(g).\nAnswer: -(g - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -436, -926, -1416, -1906, -2396?\nAnswer: -2886","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 17 - 11*a + 739*a**3 - 76*a**3 - a**2 + 12*a - 56*a**3 wrt a?\nAnswer: 3642*a - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7 + -4 - (2\/(-19) - 34\/(-323))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -359781, -359780, -359779, -359778, -359777, -359776?\n\"Answer: u - 359782","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) be the first derivative of -7*d**2\/2 - 21*d + 18. What is the remainder when b(-5) is divided by 18\/(-6) - (0 + -2 - 4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-81 - (-32 + 33)) + (-12 + 6 - (4 + -2))?\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 4 + ((3*sqrt(3)*-1)**2 - sqrt(3))*-6 + ((sqrt(3)*-2 + 4)**2 - (-5 + 0 + sqrt(3))) + 4.\nAnswer: -119 - 11*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 64 in 0, 0.2, -1\/7?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 55*f - 16. Let l be y(5). Let q = l + -133. Calculate the highest common factor of q and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 296*l - 292*l - 2*g + 8, -2*g = l + 7 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-10)\/25*125\/5. Let j(s) = s + 10. Let b be j(u). Is b > -2\/137?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 133126309?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11363 is divided by 3787.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -3*t + 20. Let q be u(5). Suppose 2*d - 237 = 5*n, -q*d + n + 233 = -3*d. What are the prime factors of d?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2694044137 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 848.3 + -852.9. What is the closest to -0.3 in 1, y, -4, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13 - -132724\nAnswer: 132737","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(152)\/(sqrt(72)\/sqrt(9))*3 + -1)*-3.\nAnswer: 3 + 36*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - 1 + 2 - 67*p**2 + 0 + (4 - 4 + 38*p)*(3*p - 10*p + 3*p) as b*p**2 + t*p + u and give b.\nAnswer: -219","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 42205179.\nAnswer: 3, 29, 137, 3541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 928 and 290?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 5\/(-30)*117\/(-27) and 89\/22?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7\/((-322)\/12))\/(73\/(-1679)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 4110184?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tgt when three letters picked without replacement from {i: 1, l: 1, t: 1, g: 2, h: 2}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -3013\/5 (b) 0 (c) -1.4 (d) -0.04 (e) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(117)\/(sqrt(9)*-2))**2 - (sqrt(13) + 3 + -2))*1.\nAnswer: -sqrt(13) + 9\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 131 is divided by 30?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 5*c = b + 23, 83 = -3*b - 5*c. Let p = 76 - b. What is the tens digit of p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000704 rounded to five dps?\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -25*q**2\/4 + 5185*q\/2 - 1075369\/4.\nAnswer: -(5*q - 1037)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3 - 71b9?\nAnswer: -71b6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 28620 and 34344.\nAnswer: 171720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.10671 to 1 decimal place.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 4*u - 8 = 24, 0 = -2*x + 5*u - 19. Let h(p) = -p**3 + 20*p**2 - 27*p + 54. Let b be h(16). Let z = b - 642. Solve z*w - w = -x for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.03108525 + -4444.7.\nAnswer: -4444.73108525","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**2 - 70*f - 45864.\nAnswer: (f - 252)*(f + 182)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) be the third derivative of t**6\/24 + t**5\/15 + t**4\/4 + t**3\/6 + 5*t**2. Let s(z) = -z**3 - z**2 - z. Determine -4*s(q) - y(q).\nAnswer: -q**3 - 2*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4740147l to millilitres.\nAnswer: 474.0147","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - (94 - (-6 + 10 - 15)) - (1 + -10).\nAnswer: -101","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 47383 or 47386?\nAnswer: 47383","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -164, 5, -8 in descending order.\nAnswer: 5, -8, -164","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*f + 2*f - 225. Let i(m) = -m**3 + 10*m**2 + 15*m - 14. Let b be i(11). Calculate the highest common divisor of f and b.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10 - -10223023302?\nAnswer: 10223023312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, -3, 1, 5, 21, 11, -4 in descending order.\nAnswer: 21, 11, 8, 5, 1, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10\/(-6)*(-12)\/(-5).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5)\/(-50))\/(39\/130)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*1\/14 - (-210)\/(-49).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by -35?\nAnswer: -3\/35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -5*f + 88. Let x(h) = 2*h. Determine -w(u) - 3*x(u).\nAnswer: -u - 88","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 9) to base 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-3)\/(-18)*-4)\/(18\/(-135)). Suppose -k - 15 = -2*x - 2*x, -4*k + 30 = 2*x. Solve 0 = -h*u + u + x*q + 30, -6 = 3*q for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the first derivative of h**6\/6 + 8*h**3\/3 - 15. Find the third derivative of p(r) wrt r.\nAnswer: 60*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1282 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 18 + 5. Let m = s + -18. Solve -27 + 12 = -m*t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 294, 2382, 8038, 19044, 37182, 64234, 101982, 152208?\n\"Answer: 297*r**3 + 2*r**2 + 3*r - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 143\/179874 and 203\/87750.\nAnswer: 292295250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 67321 is divided by 22435?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) be the third derivative of g**6\/600 + 3*g**5\/100 + 3*g**4\/20 + 189*g**2. Suppose z(n) = 0. Calculate n.\nAnswer: -6, -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*m - 3*m - 80 = 0. Is m a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 take away -0.134?\nAnswer: -0.866","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*t**3 - 29*t**4 + 4*t**3 - 22*t - 14*t wrt t.\nAnswer: -348*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 233320772 a multiple of 2846?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 7\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 4 = -2*p, p + 4*w - 2 = 3*w. Suppose -5*h + 2*u + 12 = p, 4*h + 3*u = -0*u + 28. Solve -2*y - y - 3 = x, 12 = -h*x - 5*y for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 6078*c - 4929334. What is l(811)?\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3 - 3 + 1)*(-5 + 4 + 2) + 2 - 1 + 0 + 0 - 3 + 0)*(4*o - 5*o + 5*o)*(o**4 - 2*o**4 - o**4).\nAnswer: 8*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (4*(2 + -6*(0 + sqrt(1872)) + sqrt(1872))**2 - (((sqrt(1872) - -2*sqrt(1872))*5 + 3)*4)**2).\nAnswer: -6552129 - 18240*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 7 + s - 4*s**3 - 4 - 5*s**2 + 3*s**3. Let j be n(-5). List the prime factors of (-3)\/j*28\/21.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 88 divide 52023136?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 minutes before 2:12 AM?\nAnswer: 2:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -122864255, -245728509, -368592763, -491457017, -614321271?\nAnswer: -737185525","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.09 - -4.09. Let j be 7\/2*12\/(-21). Let h be (-2)\/(-2)*j\/4. Which is the closest to h? (a) p (b) 1\/3 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-8*(-2)\/4)\/10. Let h = 29 - 31. Let o be (-2 - -1) + (-6)\/h. Which is the third smallest value? (a) -5 (b) o (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*x + 2*x - 2*x**3)*(2*x + x + 0*x) + (12*x**2 - 12*x**2 + 5*x**3)*(-1 + 1 + 2*x) - x**4 - 3*x**2 + 3*x**2.\nAnswer: 3*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 2*y + 3*y**2 - y**2 - 9 - y**2 + 11. What are the prime factors of g(-4)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = 3*x + 5*j + 43, 89 = -5*x + j. Does 2 divide (x\/10)\/(6\/(-20))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 2 - 12 = 0. What is the biggest value in -5, 2\/11, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10214000 rounded to the nearest one million?\nAnswer: -10000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 10) to base 4.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 96 = 2*a + 5*b, -36*a + 32*a + 4*b = -164. Solve 231 = a*d - 10*d for d.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4\/9, -256, -1\/5 in decreasing order.\nAnswer: 4\/9, -1\/5, -256","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g*g\/g**(3\/7)*g)\/(g**(-4\/7)*g))**(9\/4) assuming g is positive.\nAnswer: g**(99\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) be the second derivative of -j**2 + 1\/4*j**4 + 0*j**3 + 0 + j. Determine b(-2).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 81*q**3 - 5*q - 83. Let y(b) = -22 + 41*b**3 - 3*b + 21 - 40. Let t(g) = -3*d(g) + 5*y(g). Differentiate t(s) with respect to s.\nAnswer: -114*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -505 or -2518\/5?\nAnswer: -505","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -v**2 + 4689500*v - 5497852562500.\nAnswer: -(v - 2344750)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -2\/15, 1\/3, 2, 2\/7?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21836.\nAnswer: 2, 53, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -1002 (base 10) in base 2?\nAnswer: -1111101010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -28 + 33. Suppose -6*i = -g*i + 4*o - 409, 4*i - 1674 = 3*o. Suppose -5*m + 267 = 5*r - 258, i = 4*m + r. Is m a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*5*(sqrt(112) + -1 + sqrt(112))**2*6 + (sqrt(42)\/(1*sqrt(150)) - (sqrt(343) - (-1 + sqrt(343) + -2)**2)).\nAnswer: -26588 + 4556*sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 2 times 473083\nAnswer: 946166","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 n when two letters picked without replacement from {w: 3, y: 1, m: 2, u: 3, x: 1, n: 1}?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 3*n**3 - 1880 - 1879 - 2*n**2 + 3759. Let k(l) = l**2. Give -6*k(s) - 3*z(s).\nAnswer: -9*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2 + 3. Let a(v) = v**2 + 8*v. Let p be a(-8). Let t = -4 + p. Put t, -0.3, f in decreasing order.\nAnswer: f, -0.3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2054710 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 138 (b) 3.5 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1920*a**2 + 417*a**2 - 698*a**2.\nAnswer: 1639*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -32 greater than -1107782?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 225 + 149 = 2*h. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 4*c = 3*v - 8, 5*v = c + 2. Suppose 1 = 3*b - 44. Solve v = 3*q - 0*q + b for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 25*m**2 - 20*m - 61. Is l(-4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1264 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -6 + 0 - 0 - 378\/(-56)\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: ((-17415)\/(-516))\/(-9)*1\/((-10)\/16) + -85\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (54\/(-99))\/(1062\/(-9086)).\nAnswer: 14\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 466686?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) be the second derivative of q**4\/15 + 43*q**3\/6 - 27*q**2\/5 + 799*q. Factor v(l).\nAnswer: (l + 54)*(4*l - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -380, 6, 16, -34, -4 in ascending order.\nAnswer: -380, -34, -4, 6, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4\/3*261\/58 - 6. What is the nearest to 2\/3 in j, -31, -6?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.459 + 14.641. Let t = l - 12.1. Which is the third biggest value? (a) 2 (b) t (c) 2\/5 (d) -3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -6*m**2 + 17*m - 1. Calculate p(2).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qqqaaazaa. Give prob of picking 1 z and 3 a.\nAnswer: 5\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 1219229 divided by -409\nAnswer: -2981","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-429 + 441)\/(0 + 1 + 1). Let o be (7\/((-14)\/12))\/(-2). Sort -4, o, n, 1.\nAnswer: -4, 1, o, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 6 - 2)*(-3*z + 0*z + z)*(11*z**4 - 6*z**4 + 9*z**4).\nAnswer: -112*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*f - 7*f = 15*f. Solve f = -3*p + 7*p - 8 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*z + 28 = 0, 2*h - 5*z + 319 = 335 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 2*q - 3. Let h(z) = -2*z - 6. Let y be h(-5). Let c be b(y). Solve 5*t - 5*m = 10, -4*m + c*m - 1 = -2*t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l = -2*i - 27 + 13, 10 = -5*i for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -z**2 + 7*z - 8. Let l be y(4). Let m(j) = 10*j + l*j - 9*j + j**2 - 2*j**2. Let w be m(4). Solve -w*u = -u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = l**2 - 7*l + 2. Let p be i(7). Suppose -p*y + 1 = -5. Solve -2 = x - y for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8\/5*y**4 - 8\/15*y + 22\/15*y**3 - 14\/15*y**5 + 0 + 8\/5*y**2 = 0. What is y?\nAnswer: -2, -1, 0, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -120, -244, -354, -444, -508, -540, -534?\n\"Answer: z**3 + z**2 - 134*z + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 221540 to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5? (a) -0.18 (b) 2 (c) -12147 (d) 1\/6 (e) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 83*w = 78*w - 20. Let f(l) = -l + 17. Give f(w).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -245*i**2 + 302*i**2 - 172*i**2.\nAnswer: -115*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 3*i + 30 = 2*i, 5*m - 22 = i. Let f = 4 - 3. Which is the closest to -3? (a) f (b) 3 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) be the second derivative of -6*h**5\/5 - 3*h**3 - 3*h. What is the second derivative of q(u) wrt u?\nAnswer: -144*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a decade in months?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -2*m**2 + 9*m - 2. Give z(4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6095, 6120, 75, -12034, -30201, -54420, -84685, -120990?\nAnswer: -163329","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/10 of a litre?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -356721*a. Let m(z) = z**2 + 81*z. Give m(g(j)).\nAnswer: 127249871841*j**2 - 28894401*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/(10\/4)*(-3)\/(-3).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 0*u - 5 = 0. Let c = u + 0. Let v(g) = g**2 - g. Let q(m) = -7*m**2 + 3*m. Calculate c*v(a) - q(a).\nAnswer: 2*a**2 + 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/4 (b) 32387 (c) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -2141*z - 15054. Determine x(-7).\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 j when two letters picked without replacement from {z: 4, u: 2, j: 2}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 3504?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7429.999995773 - 7430. What is b rounded to 7 dps?\nAnswer: -0.0000042","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -35*f + 5819. Let y be q(166). Suppose -y*g - 3\/4*g**2 + 39\/4 = 0. What is g?\nAnswer: -13, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*b + 18*b**3 + 2*b**2 + 15*b - 11*b as a*b**2 + t + m*b**3 + j*b and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that 2*y**4 + 216143264*y**3 + 5839739037714972*y**2 + 11679477427000160*y + 5839738605428450 = 0.\nAnswer: -54035815, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -38, -2, 353, -6.\nAnswer: -38, -6, -2, 353","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w + 3*w = i - 19, 21 = 4*i - w. Solve d - 10 = -i*d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 15*q**2 - 3*q. Let i be c(2). Let g = i - 77. Let w(o) = -o + 27. List the prime factors of w(g).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 16*y - 14*y + 90. Let u = y + 71. What is the highest common divisor of 65 and u?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -2*q. Let d(z) = 796*z. Let f(j) = 800*j. Let k(h) = -6*d(h) + 7*f(h). Give t(k(a)).\nAnswer: -1648*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence odo when three letters picked without replacement from {p: 5, d: 6, o: 1, k: 4}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand -t + t - t**2 + 3*t**2 + 6*t**2 - 4*t**2 + 3*t**2 - 4*t**2 + 0*t**2 + (-3 + 1 + 1)*(6*t**2 - 3*t**2 - 23*t**2).\nAnswer: 23*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2026\/(-41533)*(3\/(6\/4))\/2?\nAnswer: -2\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -1741*z**3 + 7*z - 7. Let t(f) = 63546*f**3 - 255*f + 255. What is 255*k(g) + 7*t(g)?\nAnswer: 867*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uuu when three letters picked without replacement from {n: 3, c: 2, u: 1, q: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -5*g**3 + 7*g**2 + 5*g + 1. Let k(l) = -2*l**3 + 3*l**2 + l + 1. Let h(r) = -a(r) + 3*k(r). Let q = -11 + 16. Let s = q + -3. What is h(s)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3592*o - 3 + 2 - 3621*o + 1.\nAnswer: -29*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 494?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-175)\/55 - (-5 + 2))\/(30\/(-10))?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 748?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 8 = -3*i, 4*j + 13*i = 14*i - 36. Let t(v) = -v**3 - 11*v**2 - 9*v + 17. Calculate t(j).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 2 - 3)*(5*u**3 + 0*u**3 - 2*u**3) + (-2*u**2 + 2*u - 2*u)*(0*u + u - 2*u) to the form f + r*u**3 + i*u + y*u**2 and give r.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m + 19*n - 17*n + 6 = 0, -n - 12 = -2*m for m.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 259*g = -35*g + 1691 + 73 for g.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t**(2\/13))**23*(t*t**(-2\/27))**(-16) assuming t is positive.\nAnswer: t**(4115\/351)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 742 - 3?\nAnswer: 738","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = v**2 - 15*v + 67. Let l be w(6). Solve 11 = l*u - 41 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 18023 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 2392, 5183, 7968, 10741, 13496, 16227?\n\"Answer: -i**3 + 3*i**2 + 2789*i - 399","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 36\/77459 and -7\/6?\nAnswer: 464754","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + s + 18 = 0, -s - 2*s - 6 = 0. Find the first derivative of -x*m**3 - m**4 + 4*m**3 + 19*m**4 - 13 wrt m.\nAnswer: 72*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 6 + 2)*(0*l - 1 - 3*l + l)*(0 - 1 + 2).\nAnswer: -8*l - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0\/5 + (-3)\/(-18). Let u = -20.4 + 20.8. What is the second smallest value in -3\/5, j, u?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that 9*f**3 - 17696*f**2 + 162449*f - 35226 = 0.\nAnswer: 2\/9, 9, 1957","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 7*y + 89. Suppose -4*b + 3*f - 47 = 0, -2*b + f - 2*f - 21 = 0. Calculate the least common multiple of 2 and v(b).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = -4*d - 3*y, 3*d - 16 = d - 2*y. Let j be (4\/6)\/(8\/d). Let u be (-2)\/5*12\/8. What is the closest to j in -3, u, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = 5*x - 450, 89*o - 2*x = 87*o + 184. Calculate the highest common factor of 679 and o.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3 - 10\/2 - -5. Suppose 4*d + 2*o - 16 - 42 = 0, -k*d - 3*o = -39. Suppose -z = h - 12, 36*z - 4*h = 35*z + 27. Is z >= d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 88, 0, -5, 1, -1\/5, 2\/9?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 94971528368 - 216.\nAnswer: 94971528152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/3*(-7938)\/8316*1\/(16\/22)?\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 150465804923 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 739950587 to the power of 1\/10, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 69421*t**3 + 2*t**2 + 2*t - 29809.\nAnswer: 416526","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 24795 and 7339465?\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/5 (b) -104 (c) -2 (d) -1\/2 (e) 0.01 (f) -1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 28 + 4 = 0. Suppose -3*o + m = o. What is the remainder when 22 is divided by o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2\/7, 3\/7, 253, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -27180 or -27181?\nAnswer: -27180","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -7*s**2 + 2027*s - 116046. Determine h(211).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (3\/(-4))\/((-2)\/8). Suppose -6*k - t*k = -99. Suppose -4 = -4*z + 4. What is the least common multiple of z and k?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o = 27*o + 87 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 242*f**3 + 24*f**2 + 69225?\nAnswer: 726*f**2 + 48*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -20*g - g + 0*g - 499 + 19*g - 4*g as v + k*g and give k.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -354 + 354. Suppose 4*v + n + 211 = x, 15*n - 19*n = 4*v + 220. Sort 2, -1, v in decreasing order.\nAnswer: 2, -1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = u**3 + 7*u**2 + 4*u + 17. Determine j(-4).\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3340800*a - 3340800*a + 32*a**2.\nAnswer: 32*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 591 minutes before 3:57 PM?\nAnswer: 6:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dd when two letters picked without replacement from ffddk.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -2, 0, -22, 331 in ascending order.\nAnswer: -22, -2, 0, 1, 331","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1889064 and 26446896?\nAnswer: 26446896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(4\/(-3))*29\/16704*32?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 16 = -7*h. Suppose 0 = -f + h*f - 9. Suppose 0 = 5*g + 50, 356*m - 3*g = 359*m + 21. What is the lowest common multiple of m and f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 d when two letters picked without replacement from ddjyyydtydt.\nAnswer: 16\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5\/3*h**2 - 5\/3 + 0*h.\nAnswer: 5*(h - 1)*(h + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*u = -17 - 1. Let m = 66 - 47. Solve -u*q - 9 - 6 = -k, 4*q - k = -m for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**5)**10*(f**3)**(1\/21) assuming f is positive.\nAnswer: f**(351\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -10*v - 5. Let m be a(-1). Suppose 5*q - 1 = 24. What is the highest common divisor of q and m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -5389656 to the nearest one million.\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1*52)\/((-4)\/26). Let a = g + 242. List the prime factors of a.\nAnswer: 2, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 157*t + 703*t + 535*t**2 + 340 - 5*t**5 + 55*t**3 - t**4 - 210*t**3 - 174*t**4 = 0. What is t?\nAnswer: -34, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1044*d**3 + 118*d**5 - 1044*d**3 + (3*d**5 - d + d)*(0 + 5 - 4).\nAnswer: 121*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = -5*m + 5, -m + 2 = 3. Sort t, 4, 2 in decreasing order.\nAnswer: 4, 2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1016.2 to the nearest ten.\nAnswer: -1020","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 441 - 411. Calculate the remainder when 80 is divided by n.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5736)\/(-478)*20\/48.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 359 + -421.7. What is c rounded to the nearest 10?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 + g**2 + 2 + 2*g**2 + 0*g**2 - g**2 + g**2 + 0 + 0 + (-2 + 2 + 2*g)*(g + g - g) - 4*g**2 - g**2 - 2*g**2 - 3*g**2 + 0 - 1 + 4*g**2.\nAnswer: -g**2 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5.04 + -4. Let t = -24597875.9599879 - -24597877. Let h = z - t. Round h to six decimal places.\nAnswer: -0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + 4 + -6 + 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12125110?\nAnswer: 2, 5, 157, 7723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-66)\/3*(-6 - 220) is divided by 16?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1746, -1745, -1744, -1743?\nAnswer: -1742","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1032 and 1771514?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.014198 to 3 dps.\nAnswer: -0.014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 13783507 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 12007 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 11 = -9. Let q(c) = -3*c**2 + 0*c**2 - l*c**2. Let o(t) = 3*t. Determine o(q(b)).\nAnswer: -21*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 154035*p**2 + 154002*p**2 + 153995*p**2 - 461888*p**2.\nAnswer: 144*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1\/23 - 43\/69. Which is the second smallest value? (a) 0.2 (b) d (c) 8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 18.58 + -0.58. Let i = 15 - q. Which is the second biggest value? (a) i (b) -0.3 (c) 0.9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -35468 divided by -2?\nAnswer: 17734","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 3203 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 202965400 divided by 2?\nAnswer: 101482700","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 0 - -55645?\nAnswer: 55645","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five quarters of a milligram in micrograms?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 173\/3 + -57. Let m = -7 + 12. What is the second biggest value in m, w, -1?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -664 divided by 6979\nAnswer: -664\/6979","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*q - 42 - 502 = 142*q. What is the closest to -2 in q, -1\/200, 1?\nAnswer: -1\/200","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.1 (b) 5 (c) -86 (d) -0.01\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 11252 + 4430?\nAnswer: 20122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 5*g**2 - 2*g - 2. Let i(u) be the first derivative of -u**3\/3 + u + 6. What is -h(w) - 4*i(w)?\nAnswer: -w**2 + 2*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let -847188375*c**5 - 56667373050*c**4 - 945233641620*c**3 + 19240721544*c**2 - 130480896*c + 294912 = 0. What is c?\nAnswer: -384\/11, -32, 2\/295","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 27236112 to the power of 1\/3, to the nearest integer?\nAnswer: 301","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -120*n - 33. List the prime factors of a(-6).\nAnswer: 3, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6 + 1. Suppose 8 = -2*p - 2*p. Sort p, c, 5.\nAnswer: c, p, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 0 = -4. Let y(f) = 5*f - 3. Let x(k) = 11*k - 7*k - 2*k + 4*k - 4. Give p*y(l) + 3*x(l).\nAnswer: -2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -0.5, 1112, 8, 2, 27, -3\/4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = -f - 14, s - f + 6 = 3*s. Let x(i) = 4*i + 1. Let m be x(s). Let h be (4\/6)\/(6\/567). What is the greatest common divisor of m and h?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -7192*o**3 + 14382*o**3 - 7189*o**3 - o**4 + 413*o as q + d*o**4 + p*o**2 + u*o + l*o**3 and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve o - 491*g + 14 = -3*o - 489*g, -o + 1 = -5*g for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -h**3 - 4*h**2 - 2*h - 2. Let k be s(-4). Let o be 3\/k*(-2)\/1. Which is the second smallest value? (a) 0.1 (b) o (c) -3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -q**3 - q**2 - q + 1. Let x(d) = -415*d**3. Suppose -14 + 17 = -3*y. Let j(n) = y*x(n) + h(n). Is j(2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.75 - -72908.861?\nAnswer: 72918.611","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 139\/18 and -11\/664.\nAnswer: 5976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.92 + 638.08. Let o = w + -637.798. Round o to 1 dp.\nAnswer: 1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*y + 2*y - 177 - 2*y.\nAnswer: 2*y - 177","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 3, h: 1}. Give prob of sequence dhd.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 208 - 404. Let g = o - -25. Let r = 170.909 + g. Round r to two dps.\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-240)\/(-990)*-11)\/((-10)\/9). Let u(z) be the first derivative of a*z**2 - 3*z**4 + 22\/15*z**3 - 2*z**5 - 8\/5*z + 46. Let u(g) = 0. What is g?\nAnswer: -1, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 20 = 5*i, 0 = -3*i - 3*v + 8 - 23. Let z = 26 + -14. Suppose z = 10*w - 8*w. Solve i*d = -3*d - w for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7226089669 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + q - 5 = -0, 4*q - 12 = 0. Let u(w) = -w + 7. Let m be u(6). Which is the nearest to o? (a) 1\/4 (b) m (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*v**2 - 68*v - 66.\nAnswer: -2*(v + 1)*(v + 33)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 <= 2\/163821?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-9)\/4)\/(138\/(-368))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*w**3 + 3*w**3 - 2*w**3)*(2*w - w + 0*w) + 28*w**4 + 71*w - 71*w + (-2*w**2 + 2*w**2 + w**2)*(4 + 4 - 9)*(-w**2 - w**2 + 0*w**2).\nAnswer: 31*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 78\/14*((-1359)\/(-27) + -48)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-12 - -2 - -27) + -6\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in seventeen halves of a century?\nAnswer: 850","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 + 22 = -5*v. Let i = 5 + v. Suppose i*a = 3*a - 33. Is 11 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 170*v + 66 + 74 - 214 + 74 in the form t + u*v and give u.\nAnswer: 170","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3110*h = 40*a - 3111*h + 193, -2*a - 38 = 4*h for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*x**5\/9 - 2*x**4\/9 - 10*x**3\/9 - 2*x**2\/3.\nAnswer: 2*x**2*(x - 3)*(x + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10 (base 2) to base 8.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/7, 15, -4\/5, 0.9 in ascending order.\nAnswer: -4\/5, -4\/7, 0.9, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 10\/(-3)*(-531)\/(-6). Let f = -2131 - d. What is the tens digit of (1\/2)\/((-17)\/f)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -9762*i**3*u**3 - 3*i**3 + i**2*u**3 - 6*i**2*u**2 + 58*i**2 wrt i?\nAnswer: -58572*u**3 - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - (-5)\/2)*12\/18?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*l + l + l)*(907*l - 144 - 1805*l + 910*l) + (3 - 1 + 0)*(-2*l**2 + 3*l**2 - 4*l**2) to the form f + i*l + j*l**2 and give i.\nAnswer: 144","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1)\/(-9) - 1991\/99. Let g = -17 - m. Suppose 3*p = -q + 857, -p - g*q + 95 + 180 = 0. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 33926374823525+3\nAnswer: 33926374823528","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 123231 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8678434.\nAnswer: 2, 4339217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:18 AM and 10:56 AM?\nAnswer: 158","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -4, 64, 9809 in decreasing order.\nAnswer: 9809, 64, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4, 4599, -0.05?\nAnswer: 4599","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1.078? (a) 13628 (b) 5 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 27170 divided by -48\nAnswer: -13585\/24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dmijeadam. What is prob of picking 1 m, 1 e, and 1 d?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1830659896?\nAnswer: 2, 13, 17602499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 0.5448163 years?\nAnswer: 0.0005448163","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 304 divide 19464816?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -19*j + 14*j + 20. Suppose -j = -10*q + 6*q. Let v(l) = 2*l**2 - l. Calculate v(q).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -56 - (1 + (-5 - 45))\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 7*n**2 + 14*n - 24. Is s(-11) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1390 divided by 139.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 2, 7, 19, -561 in descending order.\nAnswer: 19, 7, 2, -3, -561","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9)\/(-14)*(-26)\/(-39)?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1862647?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 53*p + 3*p + 8*p. Let a be (-4)\/22 - 26\/(-22). What is the nearest to -0.1 in 0.7, p, a?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1b0 (base 14) in base 13?\nAnswer: 20c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*n - 46 + 31 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -22190 + 37768. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the third derivative of -863*u**6\/120 - u**4\/12 + 277*u**3\/3 - 2*u**2 - 700*u. Find the second derivative of i(n) wrt n.\nAnswer: -5178*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 883b17 (base 12) to base 2\nAnswer: 1000010000001010000011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 64470 and 17192.\nAnswer: 257880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 764471?\nAnswer: 764471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1a3 (base 12) in base 10?\nAnswer: 267","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 0.1774467nm?\nAnswer: 0.0000000000001774467","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 69.17101 micrograms?\nAnswer: 0.00000006917101","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -6*t - 5. Let h(n) = 19157*n + 1. Determine q(h(a)).\nAnswer: -114942*a - 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(2\/7)*a)\/(a*a**(2\/5)\/a)*(a\/(a**3\/a*a))\/(a*a\/a**(2\/3)*a))\/((a*a\/a**(3\/8)*a)\/a**(5\/6)*(a**(-1)\/a)**(-12)) assuming a is positive.\nAnswer: a**(-8187\/280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -1311521 (base 6) to base 12\nAnswer: -355a1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the first derivative of 3\/5*d + 0*d**2 + 3\/25*d**5 - 2\/5*d**3 - 6 + 0*d**4. Factor a(q).\nAnswer: 3*(q - 1)**2*(q + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1064 - -1066. Which is the nearest to 1\/4? (a) 1 (b) -0.07 (c) -6 (d) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k, 1 z, and 1 c when three letters picked without replacement from {c: 1, t: 1, z: 4, k: 2, f: 2}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -67 - -45 - (-21 + -3)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 12, c: 3, j: 2, b: 3}. What is prob of sequence cc?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by -1868\nAnswer: 3\/1868","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 7*x. Let n(b) = 25 + 7*b + 11*b - 25 - 5*b. Give n(c(r)).\nAnswer: 91*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 625 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/102155 greater than or equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 85854719 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 21*g*u**2 + 6*g*u + 754859901*g + 246151*u**2 with respect to u.\nAnswer: 42*g*u + 6*g + 492302*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 22, 78, -6, 3\/8 in descending order.\nAnswer: 78, 22, 3\/8, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1 - -5. Suppose z*o = 6*o. Is o + -11*6\/(-2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5909 and 13072?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -57 + 32. Let y = i - -38. Let h = -5 + y. Is -0.1 < h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*u + 2 + 4. Let y be -6 - (4 + -4)\/(-2). What are the prime factors of -2*(y\/(-2))\/u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = f**2 - 4*f - 36. Let v be z(-5). What is the highest common factor of 117 and v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -732 - -3209. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -12070, -24137, -36204, -48271, -60338, -72405?\nAnswer: -84472","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*g - 44*g + g)*(3*g + 0*g + g)*(4 + 49 - 5).\nAnswer: -7872*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 325931 to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.9? (a) -54 (b) 31 (c) 7 (d) -4 (e) -2 (f) 0.3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -358041*o**2. Let w(y) = -4*y. Calculate m(w(c)).\nAnswer: -5728656*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 6*i - 2. Let y be x(2). Suppose 10 = -0*j + y*j. What is the units digit of j - ((-36)\/15)\/(2\/15)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -70 + -df?\nAnswer: -14f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 158737 is divided by 125?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 2*z**3 + 9*z**2 - 2*z + 20. Calculate g(-5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 68*m + 489. Give p(-20).\nAnswer: -871","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the first derivative of 1 + 0*p**3 - 1\/2*p**2 + 0*p + 1\/8*p**4. Let b(x) be the second derivative of f(x). Let c(y) = 2*y**2. Determine c(b(a)).\nAnswer: 18*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*b**4 + 19328*b**3 - 284252*b**2 - 22977200*b + 46936848 = 0. What is b?\nAnswer: -29, 2, 42, 4817","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 4*d = 10, r - 2*d - 20 = -18. Solve w = 4*j + 3*w + r, 3*w = 9 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 214 + -213.69. Let r = 0.32 + -0.1. Let d = r - i. Round d to one dp.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 w when two letters picked without replacement from {p: 2, w: 5}.\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s**3 - 4241*s**2 - 234415*s - 230175 = 0. What is s?\nAnswer: -4185, -55, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 7*f + 13 + 8 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence old when three letters picked without replacement from {o: 1, k: 5, d: 1, l: 2}?\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 631.34542 rounded to 1 decimal place?\nAnswer: 631.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 11, 23, -2, 4 in ascending order.\nAnswer: -2, 4, 11, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*n + 2504 = 14. What is the tens digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.67 or 3015\/37?\nAnswer: 3015\/37","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 5 = 2*m. Suppose -m*b + 50 = -65. Is 19 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 55 is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*u**2 + u**3 + 2*u**2)*(-5 - 2 + 5) - u**3 - 95*u + 113*u + 2*u**3.\nAnswer: -u**3 + 18*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 172937.\nAnswer: 23, 73, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -421*o**3 + o**2 + 16326 with respect to o.\nAnswer: -1263*o**2 + 2*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the second derivative of m**3\/6 + m. Let w(z) = -2 + 0 - 8 - 2 - z. Let g be w(-9). Calculate r(g).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -73, -132, -187, -238, -285, -328?\n\"Answer: 2*k**2 - 65*k - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m when two letters picked without replacement from mmmmm.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 2 q when three letters picked without replacement from {w: 3, h: 9, q: 3, f: 2, x: 1}.\nAnswer: 9\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -3 (b) 0 (c) -3\/2 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 1\/143531?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w + 19 = -4*z, -2*z - 18*w = 2*z - 2 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -18 (b) 9 (c) 1\/4 (d) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = -5*w - 50, -3*b = 2*b + 3*w - 50. Suppose 0*c = 2*s - 2*c - b, c - 27 = -3*s. Calculate the lowest common multiple of 10 and s.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the second derivative of -2401*p**3\/6 - p**2 + 18*p. Suppose r = 5*r + 8. Let a be i(r). Round a to the nearest 1000.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9241.\nAnswer: 9241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -797 + 787. Put -2, -4, c, -5 in descending order.\nAnswer: -2, -4, -5, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o**5\/7 - 324*o**4\/7 + 10324*o**3\/7 - 28988*o**2\/7 + 28320*o\/7 - 9328\/7 = 0. Calculate o.\nAnswer: -106, 1, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**3 - 517*z**2 - 1295720*z + 2593500.\nAnswer: (z - 1425)*(z - 2)*(z + 910)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p when two letters picked without replacement from {s: 1, p: 12, k: 5}?\nAnswer: 22\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -s**2 + 5*s + 9. Let c be v(6). Suppose 3*n - x = -n + 11, -c*x = 5*n - 18. Solve -8 = -2*o - 5*w, o - n*w - w = 4 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -633.994761 - -634. What is a rounded to four decimal places?\nAnswer: 0.0052","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 6952?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 1195.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 134 + -1?\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = p + 14. Suppose -4*w + 15 = -4*n - 49, 0 = -n - 3. What is the units digit of o(w)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*p + 0*p + 5 + 18 + 13.\nAnswer: -2*p + 36","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 3227*c + 19274. Give k(-6).\nAnswer: -88","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ejjejeejejeej. Give prob of picking 2 j.\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 163*4.89.\nAnswer: 797.07","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hlhh. Give prob of sequence hl.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand -o**5 + o**5 + 2*o**5 + (1521*o**3 + 3756*o**3 - 76*o**3)*(-4*o**2 - o**2 + 2*o**2).\nAnswer: -15601*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 571 - 571 - 200*x**2 as k*x + o*x**2 + v and give o.\nAnswer: -200","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 5 + 3 = 0. Let g(o) = 10*o**2 - o - 6. Calculate the remainder when g(h) is divided by 19.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 8344 or -14521?\nAnswer: 8344","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 942?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 14267\/3 - 4756. What is the closest to 2\/5 in 75, o, -0.1, -0.3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4 is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19586 is divided by 281?\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1*-2*24\/48. Put -3\/5, t, -1\/6 in increasing order.\nAnswer: t, -3\/5, -1\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -1222*z - 1435. Is o(-54) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 27371 - -550?\nAnswer: 30141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -67*g**2 - 283 + 249 - 757 + 102*g - 103*g wrt g?\nAnswer: -134*g - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -12*n**3 - n**2 - 2*n - 1. Let o be f(-1). Let h be 45\/(-140) - 3\/o. What is the nearest to 0 in -1, -1\/2, h?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12497*d + 12187*d - 46 - 449*d + 6674*d.\nAnswer: 30909*d - 46","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + 3*(2 + (sqrt(80) - (5 + -1*sqrt(80))) + 5*1*sqrt(80)))**2.\nAnswer: -2184*sqrt(5) + 35449","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x\/x**(-15)))**24 assuming x is positive.\nAnswer: x**(-360)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -12? (a) 4 (b) 122 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w**(4\/9)\/w*w)**(2\/21) assuming w is positive.\nAnswer: w**(26\/189)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 86274757 and 103.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 16 and 326?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-o**3 + 3*o**3 - 4*o**3)*(4*o - o + 0*o) to the form n*o**4 + u + j*o**3 + c*o + i*o**2 and give n.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -0.01 (b) -1\/14 (c) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nb when two letters picked without replacement from {g: 1, b: 1, n: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 185 - 1297\/7. Suppose -442*y + 447*y - 1445 = 0. Suppose -4*k = -y + 277. What is the nearest to k in -1, s, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*r + 400 - 19*r + r**2 - 16*r + 50*r.\nAnswer: r**2 - 2*r + 400","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 6056482277 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*g + 2*g - g)*(-4*g**3 - 33*g + 33*g - g**2 + 2*g**4).\nAnswer: -4*g**5 + 8*g**4 + 2*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4716*r - 3804*r - 5279*r - 12739*r)*(-4 - 2*r**3 + 4).\nAnswer: 34212*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5 + sqrt(847) + 6*-1*sqrt(847))*4 - -6*(-2 + -3 + sqrt(847) + -1))**2*4.\nAnswer: 68992*sqrt(7) + 676592","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11 + -11 + -2 - -265 is divided by 38.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7*f**3*r**3 + 6*f**3*r - 7*f*r**3 + 21*f*r**2 wrt f?\nAnswer: 42*f*r**3 + 36*f*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -v**2 + 3*v - 3*v**3 + 4 + 5*v**3 + 7*v**2 - v**3. Is d(-5) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 12276\/30551 and -1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = -6*v + 5*h + 30, 2*v - 5*h - 21 = 0. Let r be (-5)\/(-4 + v - 0). Solve 0 = 2*d + 3*z + 5 - 3, 0 = -5*d + r*z - 30 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.3, 0.2, 0.5, -51?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 21023 + -212?\nAnswer: 20211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jmmjmmjmjmjm. What is prob of picking 1 m and 1 j?\nAnswer: 35\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*o - 4*o + 5*o)*(1021 - 773 + 463).\nAnswer: -711*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -36.5? (a) 0.3 (b) 4 (c) -3 (d) 5 (e) 2\/5 (f) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -16*m - 235*m**2 + 6*m - 471*m**3 + 233*m**2 + 7*m - 7373 wrt m?\nAnswer: -1413*m**2 - 4*m - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.17, -1, 0.3, -20\/17, -2, -3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(150))\/sqrt(6))\/(sqrt(5) + 2*sqrt(20)) + 4.\nAnswer: sqrt(5)\/5 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -70 - -65.5. Let o = d - -4.396. Let f = o - -0.004. Which is the third biggest value? (a) -5 (b) f (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1926 - -0.8?\nAnswer: 0.6074","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) be the second derivative of -n**5\/20 + n**4\/2 - 5*n**3\/6 + 2*n**2 - 4*n. Let z be i(5). Solve 2*w + q + 18 = -q, z*q + 24 = -w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -0.9, -61.\nAnswer: -61, -6, -0.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1 + 10110111?\nAnswer: 10111000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -6*j**3 - 3*j**2 - 39*j - 36. Determine g(-1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*r**4 - 129*r**3 + 849*r**2 - 1779*r + 693 = 0. What is r?\nAnswer: 1\/2, 3, 7, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d - 5*f = -d + 116, 3*d = -4*f + 329. Suppose -5*p + 5*r + 238 + 157 = 0, 0 = 3*r. Let j = d - p. Is j a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 3*c)*(-c + 0*c - 3*c) + 30*c**2 + 96*c - 96*c.\nAnswer: 42*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00002182 rounded to six decimal places?\nAnswer: 0.000022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -37753120 or -37753121?\nAnswer: -37753121","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -125 or -123?\nAnswer: -123","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (20\/80)\/(3*445\/60).\nAnswer: 1\/89","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 4*h - 80903 = 0, 0 = 4*k - 15*h + 20*h - 64747. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = -0*b + 3*m + 4, 2*m = -4*b - 8. Let s(p) = -255*p**2 + p + 5. Let c(h) = 256*h**2 - h - 4. Let q(d) = 4*c(d) + 3*s(d). Is q(b) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b*(b**2*b)\/b))\/((b*b**(-1\/2)*b)\/b*b)*(b\/b**(-1))**(5\/3) assuming b is positive.\nAnswer: b**(-1\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = m**3 + 6*m**2 - 11*m - 8. Let d be g(-7). Suppose -d*l + 25*l = 3*x - 110, -3*x = -l - 10. Which is bigger: -21 or l?\nAnswer: -21","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 519429.3 hours in nanoseconds?\nAnswer: 1869945480000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4875200 divided by 2216.\nAnswer: -2200","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 25989409 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 145242534?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2*(-3)\/21)\/(9\/(-7)). Suppose 2*d = -0*d + 4. Which is the biggest value? (a) m (b) d (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45209123 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Are -21 and 21123 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) be the second derivative of -o**5\/20 - o**4\/2 - 5*o**3\/6 + 2*o**2 - o. Let n be h(-6). Suppose -3*f + f = -2*k - n, -2*k + 80 = 4*f. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yggg when four letters picked without replacement from yymmgmgmggmyymgm?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -59213 at least as big as -57887?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in -22, -3, 0.02?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -64405*c**4*i**3 - 45885*i**3 wrt c.\nAnswer: -257620*c**3*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = h**2 - 6*h - 3. Let l(d) = -d**2 - 16*d + 6. Let m = -551 - -535. Let r be l(m). Determine k(r).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*b - 372*f + 376*f + 48765, -3*f = -b + 9753. Is 23 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 101 - -26cd?\nAnswer: 27d0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 74 divide 1406?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 0*h = 54. Calculate the remainder when 106 is divided by h.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 90 (base 14) to base 11\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*a**4\/3 + 2*a**3\/3 - 232*a**2\/3 - 320*a.\nAnswer: 2*a*(a - 12)*(a + 5)*(a + 8)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3573233, -3573239, -3573245?\nAnswer: -3573251","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.9053341 millimeters to micrometers.\nAnswer: 905.3341","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 61*r + 3340 + 2477 = -216*r for r.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*s - a + 7, 11473 = 53*s - 57*s - 3*a + 11526 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o**3\/19 - 199246*o**2\/19 + 68501820*o\/19 = 0.\nAnswer: 0, 345, 99278","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand 13 + 14 - 31*h**3 - 29 - 2*h**2 + 2*h**3 - 5*h**2 + 5*h**2 + (5*h**3 - 3*h**3 + 0*h**3)*(0 + 4 - 3).\nAnswer: -27*h**3 - 2*h**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (14\/84)\/(2\/6).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -6 (b) -32 (c) 2\/5 (d) 3\/4 (e) 5\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 127, 135, 143, 151, 159?\n\"Answer: 8*y + 119","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(14)\/(sqrt(21)\/sqrt(3)) + 1 + sqrt(14)\/(sqrt(7)*-2) + -2*(0 + sqrt(2)).\nAnswer: -3*sqrt(2)\/2 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 128 is divided by 43?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -0.3, 112, -2\/67, -18?\nAnswer: -2\/67","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 38233320 by -38855.\nAnswer: -984","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3834 and 432.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = c**2 - 2*c - 45. Let f be (-4 - (-12)\/3)\/2. Let q be b(f). Let k = q + 47. What is the greatest common factor of 4 and k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let x = 10.9 - 11.3. What is the third biggest value in x, 1, 0?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10431 (base 9) to base 16\nAnswer: -1b01","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*k + k - 18*k + 5*k.\nAnswer: -19*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 17? (a) -3 (b) -1 (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1838667 micrograms in kilograms?\nAnswer: 0.0000000001838667","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 291024?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = j - 5. Let n be t(7). Suppose n*c - w - 25 = 2*w, 4*c = -3*w + 5. Let g be -5*(-2)\/c + -2. Solve k + 4*k - 15 = g for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ss when two letters picked without replacement from ststssttss.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = u**2 - 11*u - 22. Let m be k(19). Let a = -53 + m. Is a a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 148*l - 461*l**4 - 148*l + (4*l**3 + 14*l**3 - 6*l**3)*(l - 4 + 4).\nAnswer: -449*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -11 + 19. Suppose 5*n = 5*b - 31 + 186, -4*b + 137 = 5*n. What is the remainder when n is divided by u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*x**2 - x**2 + 0*x**2)*(1 - 5 - 1)*(4 + 4 + 0).\nAnswer: 40*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2 - 2)*(18*s + 113 - 113) + (0*s + 4*s + 0*s)*(12 - 17 + 11).\nAnswer: 42*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 896583.798 to the nearest one hundred thousand.\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 4*r - 2 + 7 + 3 - 5*r. Suppose 5*n - 294 = -2*m, 5*n = -m + 205 + 87. What is the least common multiple of n and k(0)?\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dopddqdkq. Give prob of picking 1 d and 1 k.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = w**3 + 9*w**2 - 9*w + 12. Let v be j(-10). Sort v, 0, -1 in decreasing order.\nAnswer: v, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -2*j**2. Let y(x) = -11*x**2 - 93*x + 93*x. What is t(y(o))?\nAnswer: -242*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14491 + 5*x + 14491.\nAnswer: 5*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2 - 132\/(-28)) + 2\/7. Suppose h*f - 2*f = 997. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(77)*-4*4 - -3*(sqrt(77) - sqrt(77)*-2))\/((sqrt(700) - 1*sqrt(700)*1) + sqrt(700) + sqrt(700) - 3*(sqrt(700) - -1*sqrt(700))).\nAnswer: 7*sqrt(11)\/40","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-5)\/2*280\/50. Does 13 divide ((-91)\/u)\/((-2)\/(-44))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 11.1 + -11. What is the biggest value in a, 2, -0.3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -13*i - 54. Let x = -82 - -57. What is the units digit of c(x)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 24*k + 130. Let c be m(-5). Solve -3*s - 7 + 3 = -2*g, 0 = s - 5*g + c for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - f + 5 = 4, 3*x = -f - 19. Put -0.4, 1\/12, x in decreasing order.\nAnswer: 1\/12, -0.4, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 2018*f - 19. Determine j(0).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -4\/3 (b) 1 (c) -1\/7 (d) -5 (e) 4\/19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/3 - (-10)\/6. Let m(c) be the first derivative of c**3 - c**2\/2 + c - 294. What is m(p)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -0.05, 4\/9, -0.2, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*j + 36 = 2*q - 31*j, 0 = -3*j. What is the closest to 0 in q, 15, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -277857 divided by 7\nAnswer: -277857\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the second derivative of -q**3\/3 - 3*q. Let v be i(-2). Suppose w = v*p - 11, -3*w + 4*w - p = 1. What is the third smallest value in -5, -0.05, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -2\/21, 2.53, -5, 4?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 78, 0.2, -263, -5, -0.2?\nAnswer: -263","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(-4 + -1 + sqrt(245))*6)**2 + -4.\nAnswer: -90720*sqrt(5) + 349916","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 761314307?\nAnswer: 13, 58562639","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = -0*f - 4. What is the remainder when 2 is divided by ((-3)\/(-2) + -2)*f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -f + 25*f - 8688. Is 362 smaller than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4343574750.38 - 2\nAnswer: 4343574748.38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -4 + 2 + (0 - -3) + 2. Solve -1 = 4*d - 0*c + 3*c, -g*d - 2*c = 2 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 240*o = 236*o + 24. Solve -o*p + 24 = -24 for p.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(29\/2)*g)\/(g\/(g\/g**(2\/5))*g) assuming g is positive.\nAnswer: g**(141\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -4\/7, -854, -1\/2, 3, -115, 2\/5, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*c**2 + 3*c**2 + 2*c**2 + (c + 4*c - 4*c)*(-c + 1 - 1))*(-607 + 2269 + 635).\nAnswer: -4594*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -26 (b) 37 (c) -0.18 (d) -2 (e) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3*-980036.\nAnswer: 294010.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 15389 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1522?\nAnswer: 2, 761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 21265?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 d when two letters picked without replacement from {d: 11, q: 9}.\nAnswer: 99\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 689159?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -o**3 - 3*o**2 - o - 2. Let w be r(-3). Let x be (w\/7 + 2099997\/21)\/(-1). What is x rounded to the nearest one hundred thousand?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 13001 + -13017. Put 5, 0, 126, v in decreasing order.\nAnswer: 126, 5, 0, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(5) - sqrt(35)\/sqrt(7)*3) + 4 - ((sqrt(245) - (0 + sqrt(245)))*-1)**2) + 5.\nAnswer: -2*sqrt(5) + 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 98 a factor of 11773?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -2*w. Let v(q) = -5*q. Let y(s) = -3*v(s) + 8*x(s). Let f(h) = -16*h + 11*h - 13*h**2 + 15*h**2 - 15*h + 18*h - 14*h. Determine f(y(i)).\nAnswer: 2*i**2 + 16*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -12867283 by -869.\nAnswer: 14807","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 45, 128, 0, 1, 5 in descending order.\nAnswer: 128, 45, 5, 1, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -69*o + 78*o = -27 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) be the third derivative of z**2 + 0*z - 11\/30*z**7 + 0*z**5 - 12 - 89\/6*z**3 + 0*z**6 + 0*z**4. Find the first derivative of q(m) wrt m.\nAnswer: -308*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6641 - -6617. Is o less than or equal to -468\/19?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.05, -53904, 3.4 in descending order.\nAnswer: 3.4, -0.05, -53904","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) be the second derivative of 2\/3*b**3 + 0 - 16*b + 0*b**2. Let h(l) = l. Determine h(s(v)).\nAnswer: 4*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(10)\/(sqrt(880)\/sqrt(11))*6 - (2*-2*sqrt(18))\/(-2*sqrt(441)).\nAnswer: 17*sqrt(2)\/14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 253 in 2, 4\/33, -2, 3\/7?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 7*z + 21 - 2*z - 3 - 7*z. Let t be n(7). Solve t*l - 3*i + 11 = -1, 0 = l - 4*i + 3 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -460, -5, -2, -4 in ascending order.\nAnswer: -460, -5, -4, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 3*r + 2 = 5, -r - 1 = 4*k. Suppose k*a - a = -10. Let g be (a\/(-3) + 2)\/6. Which is bigger: -1 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -14*x**2 + 23*x - 9*x**2 + 22*x**2 as y*x + c*x**2 + b and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1 + 3. What is the third derivative of 3*d**5 + d**2 + d**2 + i*d**2 wrt d?\nAnswer: 180*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*d - 3*d - 359. Let x(i) = i**3 + 12*i**2 + 11*i + 7. Let f be x(-11). Suppose f*k - 54 - d = 0. What is the units digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3\/38, 2\/5, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -516 + 515.99658. What is a rounded to 3 dps?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*h**2*r**3 + 2*h**2*r**2 - 3177*h**2*r + h*r**2 + 66*h*r - 4*r**3 - 2*r wrt h?\nAnswer: -4*r**3 + 4*r**2 - 6354*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 153 minutes before 7:27 PM?\nAnswer: 4:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 1061*k + 4199. Let b = -565\/76033 + 8\/547. Let r = 559\/417 - b. Find the common denominator of r and o(-4).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 11, 26, 43, 62, 83, 106?\n\"Answer: g**2 + 12*g - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100 - -100111?\nAnswer: 101011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 80 - 51. Let f = s + -26. Find the second derivative of 4*w**3 - w**3 - 2*w**3 + 7*w + 25*w**f wrt w.\nAnswer: 156*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 469800.6cm to kilometers.\nAnswer: 4.698006","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -75325820 - 0.04.\nAnswer: -75325820.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the first derivative of 0*r + 1\/3*r**3 - 69 + 0*r**2. Let c(s) = -6*s**2. Let x(j) = -11*j**2. Let u(m) = -5*c(m) + 3*x(m). Give u(o(z)).\nAnswer: -3*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 844 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: What is the fifth biggest value in -454, -0.3, 1, -0.5, -22\/335?\nAnswer: -454","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -i**3 - 8*i**2 + 7*i - 10. Let g(n) = 3*n**3 + 23*n**2 - 20*n + 29. Let k(v) = -8*d(v) - 3*g(v). Let a = 1 + -7. Calculate k(a).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oooooovoovooovoooooo. Give prob of sequence ooo.\nAnswer: 34\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-four fifths of a centimeter in millimeters?\nAnswer: 108","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 302 (base 4) to base 8\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -16514, -18175, -19836, -21497?\n\"Answer: -1661*w - 14853","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.974803 + 3232.078803. Let t = k + -3200. Let w = t - 31. Round w to two dps.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-10)\/4*2*-1. Let x(w) = -w**2 - 9*w + 2. Let b be x(-9). Suppose 4*h - 5 = -b*s + 5*s, -s = h - 10. Solve c = -h*o - 0*o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -31, -64, -99, -136, -175, -216, -259?\n\"Answer: -x**2 - 30*x","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -3 + (20 - (2 + 6)) + -16 + -9\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 210 and 140?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m\/(m**(-3)*m))**(-2\/5))**(21\/2))**43 assuming m is positive.\nAnswer: m**(-2709\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 63166 is divided by 106.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1034561 (base 7) to base 12.\nAnswer: -61268","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4c7 (base 16) to base 11.\nAnswer: -a12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*y**2 + 5*y - 8*y**2 - 2*y - 4*y.\nAnswer: -13*y**2 - y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the first derivative of r**4\/4 + 4*r**3\/3 - 3*r**2 - 5*r + 2. Suppose 28216*f + 261 = 28184*f + 101. Calculate q(f).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.046 * -579419.\nAnswer: -26653.274","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1184)\/74*1\/2*10\/(-8)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -6 (b) 127\/5 (c) -0.2 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(-2)*9*160\/432?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -h**3 - 2*h**3 + 0*h**3 + (0*h**2 + h**2 + h**2)*(h + 0*h - 5*h).\nAnswer: -11*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -164\/67 - -753\/335. Let w be 0 + 4\/(-30)*-3. Sort 1\/6, 1, v, w.\nAnswer: v, 1\/6, w, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 + 6 + 3)*(5*n + 0*n + 0*n).\nAnswer: 10*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 976*u**3 + 461*u**3 + 213*u**3.\nAnswer: 1650*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -q**2 - 34*q - 239. Let a be r(-24). Let t be (-34 - -27) + (24 - a). Solve 13*x = 9*x + t for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -23 + 24 - (3 + -2) - 5.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = l**3 + 750*l**2 - 6973*l - 107791. What is k(-759)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -91*u - 29. Let m be ((-6)\/(-4))\/((-20)\/(-8) - 3). List the prime factors of q(m).\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -37 + 7. Let l = t + 65. Does 35 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3 and 1707492.\nAnswer: 1707492","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, 11774, 13 in descending order.\nAnswer: 11774, 13, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32705208?\nAnswer: 2, 3, 41, 1231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2142.\nAnswer: 2, 3, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 10 + 1. Suppose 2*i = 6*n - x*n + 64, 51 = 3*n - 3*i. Calculate the smallest common multiple of 12 and n.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 38104 divided by -1\nAnswer: -38104","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 40 - 38. Suppose -4*d + 0*p + 38 = 2*p, 5*d - z*p - 70 = 0. Calculate the least common multiple of d and 30.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51 minutes after 10:21 PM?\nAnswer: 11:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -2*t + 7 + 0 + 5 + 5*t. Let u be r(-4). Solve u = -q - 3*q - 20 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23 - 11784*m - 11792*m - 23 + 23573*m.\nAnswer: -3*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -5 (b) 0.2 (c) 72 (d) -0.068758 (e) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -91 = 4*p - 71*p - 24 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7556.\nAnswer: 2, 1889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 119373482?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 20354.12 litres in millilitres?\nAnswer: 20354120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 28.2 + -21. Let a = -7 + k. Let d = a + 0.2. Sort 0.5, 1, d in increasing order.\nAnswer: d, 0.5, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: ac2cc3 (base 14) to base 3\nAnswer: 102000001220120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1)\/18*-6 + 3\/(-9). Suppose 0*h + 16 = 3*c + 2*h, 10 = 5*h. Suppose q = 3*u + 4*q - 897, y = -c*u - 3*q + 1196. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 3*w = -0*w + 23, -1 = w. Suppose -36 = v*h - 0*h. Let f be (5 + -2)\/(h\/(-699)). Round f to the nearest 10.\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10a7a (base 11) in base 13?\nAnswer: 7340","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*5*(3 + sqrt(605)*2 - sqrt(605))*1)**2.\nAnswer: 26400*sqrt(5) + 245600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -117*y**2 + 179*y - 2. Let w(t) = -4*t + 45. Calculate i(w(b)).\nAnswer: -1872*b**2 + 41404*b - 228872","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 17 - 9. Does 8 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 3\/52 and 41\/4728?\nAnswer: 61464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -28735.30038 - -28732.6. Let n = 2.7 + x. What is n rounded to four decimal places?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 - -4) + -3 - -6.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = -3*c - 3*g, 3*g + 22 = 3*c - 11. Let y = -9 + 11. Solve c*u - i + 10 = 5*u, 0 = u - 2*i + y for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -25.02849 to 2 decimal places.\nAnswer: -25.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 244626?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 q and 1 w when four letters picked without replacement from qwwwwwqqm?\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -j**2 - j + 3. Let d be m(0). Suppose -4*n + 3*n + 4*h + 735 = 0, -5*n - d*h + 3675 = 0. Suppose -g + 3218 = n. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g**2 - g. Let s(d) = -2*d**2 - 4*d - 6. Let q(y) = s(y) + x(y). Let k be q(-4). Which is the nearest to k? (a) 2\/3 (b) -3 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 27*b**2 + 70*b*y**3 + 3*b*y**2 + 93773*y**3 wrt b?\nAnswer: 54*b + 70*y**3 + 3*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -i**2 + 16*i + 12. Let f be v(9). Let q be -5*1\/((-30)\/18) - 52. Let z = q + f. What is the remainder when 128 is divided by z?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 3*w. Let j = 23 + -21. Let h(k) = 8*k**j + 8*k**2 - 15*k**2. What is a(h(u))?\nAnswer: 3*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 177*k - 3*k**2 - k**2 + 5*k**2 + 1 - 179*k + 6*k**3 as r*k**3 + p*k + g*k**2 + s and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 6.3, -1, -23\/4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 14*c. Let z(h) = 3706*h. What is m(z(l))?\nAnswer: 51884*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*u**2 - 5 + 5)*(-2 + 354*u**3 - 4789*u**3 + 17*u - 17*u).\nAnswer: -13305*u**5 - 6*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/(-5)*(-12)\/(-360)*35*10?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -15 + 12. Let o be (-126)\/b*6\/2. What is the highest common divisor of o and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*o = 21*o + 2*d - 12, 0 = -3*o - 4*d - 9 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -21\/50 in 0.1, -2\/7, -47\/3?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*l = -26 + 68. Solve -n = -2*n - 3*k + 6, l = 4*n + 3*k for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2334942005393 minus 0.1?\nAnswer: 2334942005392.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*y + 44*y = 4128. What is the units digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 3*o**2 + 13*o - 23. Determine b(-6).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m = 11*g - 9*g - 35, -4*m + 5*g - 5 = 0 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ydqryyqyy. Give prob of sequence rqd.\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 5369 divide 1479658817?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 7735 and 255.\nAnswer: 23205","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -j - 5. Suppose -2*p - 4 = -0*p, -j*d + 39 = -2*p. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5560, -5567, -5574?\nAnswer: -5581","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 66454?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -235435.796 to the nearest one hundred.\nAnswer: -235400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 21278?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(768)*-2 + sqrt(768) - sqrt(12) - sqrt(12))\/sqrt(4) + (-3*(sqrt(3) + sqrt(96)\/sqrt(8) + sqrt(12)))**2.\nAnswer: -10*sqrt(3) + 675","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-26)\/(-5733))\/((-4)\/10029). Let z = d + 10\/49. Find the common denominator of 99\/10 and z.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + 0 - (-17 - (-3 - 7)).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = j**2 - 4*j. Let r(d) = -9*d + 9. Let v be r(5). Let a = v - -39. Calculate o(a).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5828.06 less than -2956111?\nAnswer: -2950282.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let 66500*c**3 + 313556*c**2 - 94736*c - 80 = 0. Calculate c.\nAnswer: -5, -2\/2375, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.07 - -1.43. Let p = g - 1.4. Which is the smallest value? (a) -5 (b) p (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -73\/27 - -124\/27. Suppose -2 = 4*h - 6. Which is smaller: h or i?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000001901969 to seven decimal places.\nAnswer: -0.0000019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that -2*a**2\/11 - 44432*a\/11 - 177696\/11 = 0.\nAnswer: -22212, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -516*s**2 - 1503*s - 1938*s - 164*s**3 + 2917*s + 4*s**4 - 176.\nAnswer: 4*(s - 44)*(s + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -64 divided by 8?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1658 or -1662?\nAnswer: -1662","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 13 = -5*w + 54, -13 = -z - 2*w. Solve -8 = 4*q + 5*s, 7*s - 5*s = 5*q - z for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 21 = -6*q. Let h = q + 11. Let a = 12 - h. What is the units digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00003986 rounded to 5 decimal places?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11187?\nAnswer: 3, 11, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12 (base 9) to base 16.\nAnswer: b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 479\/6 + -80. Which is the biggest value? (a) -41 (b) 3 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5\/18 + -1\/18. Which is the third smallest value? (a) z (b) 4 (c) 4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -n**3 + 6*n**2 + 6*n + 7. Suppose 0 = -v - 4 + 11. What is c(v)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3153 - -3154. Let v(f) = -f - 1. Let m(h) = -3*h**2 + 5*h - 2. Determine i*m(y) + 3*v(y).\nAnswer: -3*y**2 + 2*y - 5","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 19*a + 3. Let r(x) = 96*x + 14. Let n(y) = 14*p(y) - 3*r(y). Let g = 300 - 293. Let v(h) = 426 - 6*h + g*h - 426. What is n(v(f))?\nAnswer: -22*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(77)\/(5*sqrt(175)).\nAnswer: sqrt(11)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y*y*y**3*y**(2\/3)\/y)**(-7\/5)*(y**(3\/8)*y**(-5\/2))\/(y\/(y\/(y*y*(y*((y\/(y\/(y*y**5)*y))\/y)\/y)\/y*y))*y*y**5*y) assuming y is positive.\nAnswer: y**(-2767\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -65609, -262341, -590227, -1049267?\nAnswer: -1639461","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8 take away -64013.50462067?\nAnswer: 64014.30462067","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(75)*-2 - sqrt(75)) + -2 + -5.\nAnswer: -15*sqrt(3) - 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 10*c + 12*c - 37*c + 12*c. Let u = -1 - -1. Suppose u = i - 4 + 2. Give n(i).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 85 divide 10370?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 243246298?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 35? (a) 4 (b) 1\/4 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1294669146.\nAnswer: 2, 3, 37, 5831843","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 19, 0.01, 0.3, 2, 13, 1, -1?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 23\/69*354\/(-413)\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -h**2 + 194*h + 102164. Determine k(-237).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 79061.\nAnswer: 173, 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2614*h + 344*h + 133930 for h.\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -227148130*m**4 + 469387399*m?\nAnswer: -2725777560*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 28 - 16. Let o = 14 - r. Let j be (1 + (-1 - o))\/(-7). Are j and -4 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6 + -8 + 3 + (11 - -1) + -7\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 4*a**3 + 6*a - 22. Let x be n(4). Suppose -x*t + 337200 = -261*t. What is t rounded to the nearest one thousand?\nAnswer: -112000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 199 = n, 7*n - 12*n - 97 = -3*h. Calculate the remainder when h is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12\/399)\/(4140\/(-2898)).\nAnswer: -2\/95","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d\/(d*d**3*d))*d**(-2)\/d)**(2\/15)*(d**(-10)*(d\/(d\/(d**(-6\/7)\/d)))\/d)**(-11\/7) assuming d is positive.\nAnswer: d**(15046\/735)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -n**2 - 137*n - 3904. Let k be p(-89). Calculate the highest common factor of 2898 and k.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -r**2 - 15*r - 15. Suppose 5*u + 2*b = -57 + 9, 3*u + 32 = 2*b. Calculate c(u).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 95087?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 586711 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00417421 to three dps.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 909, 7, 0.6 in descending order.\nAnswer: 909, 7, 0.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (0 + 0)\/(-2) - 0. Suppose t = -2*q + 5*a + 12 + 14, 4*q + 2*a - 4 = 0. Let l(d) = -d**3 + 6*d**2 + 3*d - 3. Is l(q) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0102834 rounded to four decimal places?\nAnswer: 0.0103","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -v + 2. Let b be r(4). Let u be -2*-2*b\/(-28). Let j = -7 + 6. What is the closest to j in u, 0.5, 2?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*w + 1 - 1)*(1 + 21 + 22)*(3*w + 0*w + w) to p*w + u + i*w**2 and give i.\nAnswer: 352","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*p + 9*f + 94 = 14*p, -p + 5*f = 2*p - 53 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(-3\/8)*c*c**(1\/17)*(c*(c\/c**(-1\/4)*c)\/c*c)**(-5) assuming c is positive.\nAnswer: c**(-2117\/136)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (36\/(-20))\/((-1)\/((-10)\/(-3))). Suppose 0 = -2*l, k*x - 126 = 5*x + 4*l. What is the units digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2473059815 to the nearest integer?\nAnswer: 223","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -60*l + 2100. What is k(35)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.47 + 0.69. Let j = -0.78 - p. Which is the smallest value? (a) -9 (b) 0.5 (c) j (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 26151\/323 or 80?\nAnswer: 26151\/323","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-26656)\/(-9520))\/(42\/5).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.15 - 12180?\nAnswer: -12180.15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 38143.29 millennia?\nAnswer: 457719480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -796 + 4961 = 164*t - 1651 - 416 for t.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -12 - -17. Suppose -z*u - 2*q + 58 = 0, 4*u + u = 3*q + 63. Suppose -l = 2*l - u. Solve l*c - 3*p - 7 = -20, -3*p = -2*c - 5 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2571973?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4 - 6. Let z = i - -4. What is the units digit of 9 + z\/2*1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12 + -17 - -5) + 27.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -209 = -22*k + 869. What is the greatest common divisor of k and 21?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -129*j = -131*j + 3010. What is the thousands digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 28*r**2 - 19*r + 88. Let x be n(5). Suppose -2079 = -3*q - 3*i, q + 4*i - x = -0*q. What is the highest common divisor of q and 77?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.908851 kilometers in meters?\nAnswer: 6908.851","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (3*sqrt(3) + -2)**2 + (1*sqrt(27) + (sqrt(3) + -1 + sqrt(3))*-6)**2.\nAnswer: -120*sqrt(3) + 315","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 67 + -81. Let b be ((-84)\/w)\/((-2)\/(-1057)). Suppose -3*g + b = -360. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7.94 - -7.54. Which is the fourth biggest value? (a) 3\/2 (b) r (c) 5 (d) -20\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -2\/7, 11, -0.06, -5\/4, 4?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, -8, 2, 65, -5, 1, -4 in decreasing order.\nAnswer: 65, 2, 1, 0.4, -4, -5, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*c - 5*q + 20, 3*c + 2*c - 80 = -5*q. Let m = c - 16. Let -z**m + 3*z**2 - 2*z - 520*z**3 + 520*z**3 = 0. What is z?\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -53724198*v**3 + 47441373*v**2.\nAnswer: -322345188","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 38*j**2 - j - 2 + 445*j**3 - 36*j**2 - 453*j**3 to i*j**2 + x*j**3 + k + l*j and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*p - 17*p = 3 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -221408 divided by -44\nAnswer: 5032","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1346464 is divided by 1346463?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 120 + 40 = 4*x. Calculate the remainder when 115 is divided by x.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -19*t*x**5 + 8999*t*x**3 + 3*t*x**2 - 2*t*x - 197*x + 13 wrt x?\nAnswer: -1140*t*x**2 + 53994*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = p + 77 - 79 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*(q*q\/q**(2\/7))\/q)**20*q**(2\/21)*q**(-1\/3) assuming q is positive.\nAnswer: q**(715\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 92\/12696*69*1*14\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*a**3 + a**3 - 2*a**3 - a**3 + 4*a**2 - 4*a**2 + (-2*a - a + 5*a)*(2 + a**2 - 2) + 4 - 4 - 2*a**3 - 61*a**3 - 456*a**2 + 456*a**2.\nAnswer: -60*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(48) + -3)*4.\nAnswer: -12 + 16*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 44, 129, 214?\n\"Answer: 85*g - 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*a + 5772 + 3792. Suppose -5*l - 4*k + 2008 = 0, -2*k - a = -4*l + k. Is 34 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 1 + 3)*(2*n + 3*n - 6*n)*(2 + 0 + 0).\nAnswer: -2*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 7324477372 + 0.1?\nAnswer: 7324477372.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 67 + 9 = 4*g. Let r be (4 - (-305)\/10)*2. Let u = r - 34. Calculate the remainder when u is divided by g.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -70343 and -0.2.\nAnswer: -70343.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d = -5, 2*p - 42*d + 41*d = 5 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7254*z**3 - 7245*z**3 - 2875*z**2 + 5753*z**2 - 2878*z**2.\nAnswer: 9*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -17973, -17928, -17883, -17838, -17793?\nAnswer: -17748","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*z**3\/6 - 1295*z**2\/6 - 10645*z\/6 - 3115\/2.\nAnswer: 5*(z - 267)*(z + 1)*(z + 7)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 330 and 15972330.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*b**2\/11 + 34062*b\/11 - 30435164\/11 = 0. What is b?\nAnswer: -17882, 851","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4250, -4255, -4248, -4223, -4174?\nAnswer: -4095","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.2 (b) 18 (c) 0.3 (d) 29\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of (-6)\/(-8) + (-1)\/(-32)*17096?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 5*k = -527, -4*c - 1045 - 1139 = -k. Let o = 680 + c. What is the tens digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1735 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -35061 - -43402. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4\/18 + 104\/18. Let j(n) = n**2 - 2*n - 3. List the prime factors of j(l).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(272) - (sqrt(1700) + 1)) + (-6*(sqrt(612)*-2 + 0))**2.\nAnswer: 10*sqrt(17) + 88127","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*x + 3, 4*k + 5*x - 3*x = -18. Let p(o) = -2*o - 2. Let j be p(k). Suppose -3*h = -h - 32. What is the greatest common factor of j and h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 5*f**2 - 2*f**2 + 4 - 11448*f + 2 + 11445*f - 2*f**2. Calculate o(2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 + -1 + 1 + -1 + -2\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 753, 747, 737, 723, 705, 683?\nAnswer: 657","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (5 + -7 + 1)*-1. Let d(a) = -8*a - 27. Let z(g) = -g + 3. Let n(f) = t*d(f) - 6*z(f). Let w(p) = -2*p**2. What is n(w(s))?\nAnswer: 4*s**2 - 45","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4 + 8. Suppose 0 = -0*a - a - 3*w + 10, -3*w = -4*a - 5. Solve -g - a = -3*s + 11, 3*s - q = -g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 19*i**6 - 54467*i**4 + 4491210*i**2 wrt i.\nAnswer: 2280*i**3 - 1307208*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.935183nm to centimeters.\nAnswer: 0.0000004935183","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = j**2 - 16*j + 37. Let m be w(-25). Let t be (-7 - (-5 + 1))\/(2\/m). Does 27 divide (-6)\/9*t\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -523660320 divided by 240?\nAnswer: -2181918","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 less than 591917072122?\nAnswer: 591917072118","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 879 - -122. What is the highest common divisor of b and 273?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 57.38646 kilometers in nanometers?\nAnswer: 57386460000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 0.2 = 95937\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-38))**(12\/5) assuming r is positive.\nAnswer: r**(-456\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -22 - -4?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 42402292?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 1434*r + 85*r + 328*r - 235*r in the form j + v*r and give v.\nAnswer: 1612","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + -2*sqrt(1584) + 0 + 1*sqrt(1584))*-1)**2 + ((-5*2*sqrt(99))\/(sqrt(9) - sqrt(576)*3))**2.\nAnswer: -48*sqrt(11) + 841152\/529","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -9998 rounded to the nearest 1000?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*k = -8*k - 16065. List the prime factors of k.\nAnswer: 3, 5, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 706\/11 + -64. Let l = 0.9 - 0.7. Let z be -3 + 14 - 4 - 7*(-161)\/(-147). What is the smallest value in z, h, l, 0.06?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 16 and 256224377?\nAnswer: 256224361","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(192) - (-1*sqrt(192)*-1 + sqrt(192))) + (sqrt(192)*3)**2*-3.\nAnswer: -5184 - 8*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put together 10 and 11947588.\nAnswer: 11947598","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1104585119?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 48211.\nAnswer: 37, 1303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*w**2 + 16 + 4*w**4 - 22 + w**3 - 6*w**4 + 0*w**3 as d*w**2 + v*w**3 + z*w**4 + p*w + c and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -0.2, -21, 2, -6\/11, 1\/10?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 51131 - 15514. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 70 + 530 = n, 0 = 3*n. List the prime factors of c.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 30282*g + 60597. Calculate x(-2).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -6 + 280\/49 - (-395)\/35. Let m be -1 - (-63596 - (-1 + y - 5)). What is m rounded to the nearest 1000?\nAnswer: 64000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/84*-7)\/((-7174)\/204).\nAnswer: -2\/211","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-9 + 16 + 22)*(3 - 5 + 3)*(3*f**3 - 60*f**3 - 3*f**3) to the form g*f**2 + l + b*f**3 + u*f and give b.\nAnswer: -1740","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 3 + 3)*(0*q - q - q)*(-3 - 57 + 1)*(-6*q + q + 3*q)*(4 + 0 - 1).\nAnswer: -1416*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 55.39764 months in centuries?\nAnswer: 0.0461647","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = q**2 - 4*q - 4. Let p be y(4). Let l(x) = -x**3 - 3*x**2 - 24*x + 3. Is 47 a factor of l(p)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 3130286948?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -u + 9. Let z be s(7). Suppose 4*p = -3*a + 33, z*p = -3*p + 15. What is the units digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that 17232*w**2 + w**4 - 17231*w**2 + 24*w**3 - 24*w - 2*w**4 = 0.\nAnswer: -1, 0, 1, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vz when two letters picked without replacement from {v: 7, y: 3, z: 3}?\nAnswer: 7\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-11*i + 2 + 29*i - 13*i)*(-4*i**2 + 3*i**2 - 9*i**2) to the form g*i**3 + l*i + x*i**2 + h and give g.\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44 + 46 = -3*z. Let g = -24 - z. Let r be 1 + (-1 - (-24)\/2). Calculate the greatest common factor of g and r.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 28 in 1.2, 1, 2\/3, 2, -18\/13?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-6 + 10 - 6)*-1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(119) - (sqrt(119) + -5*-1*sqrt(119) - sqrt(119)) - (-2*sqrt(119)*-1 - sqrt(119)))\/(-1*sqrt(4032))*-1.\nAnswer: -5*sqrt(17)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhhh. Give prob of sequence hhh.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = s**2 - 4*s - 2. Give h(-5).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -339, -61, 381, 987, 1757, 2691, 3789?\n\"Answer: 82*q**2 + 32*q - 453","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1965 = 5*f + 5*t, 5*f - 2*t = f + 1590. Suppose 4*y + 3*v = 5*v + 1518, y + 5*v - f = 0. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u*u*(u*(u\/(u*u*u**(-1)))\/u)\/u*u)**(1\/40)\/((u*u**10)\/(((u\/(u\/(u**(-1\/22)\/u)))\/u)\/u)) assuming u is positive.\nAnswer: u**(-6147\/440)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, -3, -6.\nAnswer: -6, -3, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tmmt when four letters picked without replacement from mmktmkmmmmkttk?\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41 = 16*b - 89. Solve 15*x = b*x + 36 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in -0.2, -2.9, -1\/3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 0.9174972 years?\nAnswer: 0.09174972","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/(-2*(-2)\/(-10)). Let a = b + 0. Suppose -a = -3*s + 13. What is the greatest common divisor of 3 and s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1082? (a) 1\/7 (b) 3\/16 (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in 0.4, 1, 4, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f + 5*a = 412, 7*f - 2*a + 21223 - 21050 = 0 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5233614 is divided by 91.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vgbsggvvvsg. What is prob of sequence bv?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 85 - 2184\/63 - 50?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -39*j + 50*j - 22. Solve 4*w + j*y - 6 = 18, 15 = 5*w - 5*y for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10.6*0.9\nAnswer: -9.54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = m**2 + 2. Let u be h(2). Suppose 2*a - 32 = u*a. List the prime factors of (-171)\/(-15) - a\/(-20).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2535*g - 2 - 14 + 4*g**2 - 2535*g - g**2 to the form x*g + c + j*g**2 and give j.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 3\/5 (b) 1 (c) 0.1 (d) -11\/6 (e) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -42.2 and 22615.91.\nAnswer: -954391.402","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 37.7 - 0.7. Let v = z - 36.9911. What is v rounded to three dps?\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + -6*(1*(sqrt(192) + -3 + sqrt(192) + 1 + -3 + -1*sqrt(192)))**2.\nAnswer: -1297 + 480*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -34 + 34. Suppose 0 = -5*o + 4*k + 7, -o - 8 = -5*k - 1. Which is the second smallest value? (a) o (b) m (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 72 = -n + 5*y - 40, -260 = 3*n + 4*y. Is -1\/30 at most n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-837)\/155 - -10) + 16\/(-10). Which is the closest to -2.4? (a) -0.1 (b) -60 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 71932590?\nAnswer: 2, 3, 5, 266417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is (-5474315)\/(-53) - 70\/(-1855) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u**5 - 684*u**4 + 3372*u**3 - 6042*u**2 + 4689*u - 1338 = 0.\nAnswer: 1, 2, 223","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.456525 litres to millilitres.\nAnswer: 1456.525","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 409 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -1.14, 2\/15.\nAnswer: -1.14, -1, 2\/15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-14)\/133 + 17826\/38?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -195*z + 81 + 86 - 47 + 85 - 205.\nAnswer: -195*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((45\/30)\/((-1)\/(-2)))\/(9\/24). Let a(d) = -27*d + 231. Determine a(l).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*x**2 + x**2 + 2*x**2)*(-4*x**3 + 2*x**3 + 3*x**3) + x**5 - 6*x**5 + 3*x**5 + 10*x**4.\nAnswer: -3*x**5 + 10*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 6 + 6\/(-15)*5\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 359*92\nAnswer: 33028","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 + 0)*(1 - 1 + 8*q) + (0 + 0 + 2*q)*(0 - 1 - 4) - 1 + 2*q + 1.\nAnswer: -16*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 5143 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 2 f when three letters picked without replacement from {f: 15, h: 5}.\nAnswer: 35\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 36540 and 21924.\nAnswer: 109620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 135016.\nAnswer: 2, 7, 2411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 7\/84 + (-40940)\/(-48). Calculate the highest common divisor of 1 and q.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -302310 (base 4) in base 7?\nAnswer: -12324","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8 + 342\/(-42))*7?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the third derivative of u**4\/24 + 3*u**2. Let z be -2*1 + 2 + 1. Let y(s) = s - 1 + z. Determine y(p(m)).\nAnswer: m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*p**4 - 6*p**3 + 9*p**2 + 12*p - 12.\nAnswer: -3*(p - 1)**2*(p + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - 11) + 6 + 3.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = t - 0*r - 2*r - 11, 2*t = 5*r + 24. Let z(o) = -o**3 + t*o**2 + 6*o - 4 + 4*o**3 + 12*o**3 + 11*o**3. Let k be z(6). Round k to the nearest 1000.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 2 + 37*k - 39*k)*(0 - 24 - 45) to the form v + m*k and give m.\nAnswer: 138","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**2)**(-2\/23))**15\/((h\/(h*h**(-2)))**50\/((h*h**(-2\/9))\/(h**5*h))) assuming h is positive.\nAnswer: h**(-22321\/207)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -210030 (base 4) to base 3\nAnswer: -10011210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1978*b**3 + 3984*b**3 - 1988*b**3.\nAnswer: 18*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) be the first derivative of -8*a**3\/39 + 4*a**2\/13 - 2*a\/13 - 5. Factor o(r).\nAnswer: -2*(2*r - 1)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 169198682?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -57 + 56.7. What is the second smallest value in 0.5, -5, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 170307 (base 14) to base 7\nAnswer: 6601510","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1 - 2\/(4 + -2). Let n = 289 + -291. Let g = -35 - -32. Put g, m, n in descending order.\nAnswer: m, n, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let j(u) be the third derivative of u**6\/180 + u**5\/10 + 5*u**4\/12 - 25*u**3\/9 + 135*u**2. Factor j(v).\nAnswer: 2*(v - 1)*(v + 5)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ix when two letters picked without replacement from xiwwwwiwxxx.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -14606391\/43780 - 19\/3980. Let w = d + 64619\/198. Calculate the common denominator of -63\/8 and w.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h, 1 a, and 1 y when three letters picked without replacement from hyayi?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000082362877 rounded to seven dps?\nAnswer: 0.0000824","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*z + 2*z**2 - 2*z)*(-16000 - 22885 + 11581 - 13779 - 15099).\nAnswer: -112364*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 20*b + 967. Give r(-57).\nAnswer: -173","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 7*t**2 - 13*t + 226. Let h(s) = -3*s**2 + 6*s - 113. Calculate 2*d(u) + 5*h(u).\nAnswer: -u**2 + 4*u - 113","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q\/((q**(-1)\/q)\/q)*q)\/(q*q\/(q*q**(-1))))**(-25\/4) assuming q is positive.\nAnswer: q**(-25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29 + 103*m - 12 - 17.\nAnswer: 103*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 16) to base 15\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((((sqrt(126) - sqrt(14)) + sqrt(14))\/sqrt(7) + sqrt(2) + sqrt(2))**2 + sqrt(72)*-1).\nAnswer: -300 + 36*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -88 - -86. Let m be ((-144)\/3 + b)\/((-1)\/(-194000)). Round m to the nearest 1000000.\nAnswer: -10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4355 - 292. Suppose 2*h = j + 5031. What is h rounded to the nearest 100?\nAnswer: 4500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, k: 14}. Give prob of picking 1 k and 1 j.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the second derivative of -21*j**5\/4 - j**4\/12 + 325*j**2\/2 + 564*j - 3. What is the derivative of y(m) wrt m?\nAnswer: -315*m**2 - 2*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 192, 7.145, -3\/5 in descending order.\nAnswer: 192, 7.145, -3\/5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = -g - 16. Let l be (-1)\/g - (-9)\/12. Let w be 2\/(-2) + (2 - l). Solve w*n = -3*n + 6 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -5*t**2 + 0 - t**2 - 3 - 3*t**2 wrt t?\nAnswer: -18*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-5)\/(-20) - (-17)\/(-4). Sort j, -5, -3 in decreasing order.\nAnswer: -3, j, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30289 < 30220?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in five quarters of a millimeter?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -4954600 to the nearest one million.\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 4*b + 1 - 3*b + 5*b**2 + 0*b**2 - 3*b**2. Let y(z) = z**2. Suppose 5*a + 14 - 9 = 0. What is a*n(r) + 4*y(r)?\nAnswer: 2*r**2 - r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 11 - 8. Solve y = x*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that r**4\/2 - 5*r**3\/2 - r**2\/2 + 5*r\/2 = 0.\nAnswer: -1, 0, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1)\/(-3) - 28\/(-6). Suppose 0 = 14*i - 9*i - 95. Suppose i = 2*y + 13. Solve -w*v + 2 = -y for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 5 = -4. Let k(x) = -758*x - 1. Let j be k(b). Suppose 5*f - j = -12. What is the hundreds digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 55821512 to the power of 1\/3, to the nearest integer?\nAnswer: 382","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -u**3 + u + 4. Give g(0).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -52*d**2 - 2*d - 332761?\nAnswer: -104*d - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*m + 0*m - m + (3 + 1 - 3)*(6*m - 3*m - 2*m))*(-41*m + 112 + 107 + 40*m).\nAnswer: -3*m**2 + 657*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*6\/18*(-3)\/2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 15*o**2 - 5 + 0*o**2 + 3*o**2 with respect to o.\nAnswer: 36*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 891\/8 - 111. Let y = 58.107 + -0.107. Let d = -60 + y. Which is the second biggest value? (a) w (b) 3 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 3*n - 73 = 0, 2*n + 30 = -3*x + 5*x. What is the units digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -375*o - 180 + 364 - 185 in the form p + z*o and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -897\/15608 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 136 and 38573.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 44*t + 571 - 1187 for t.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 93172052?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 71*p - 69*p - 8 = -2*r, 5*p - r = -22 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -722*t**2 + 48*t + 16. Let n(f) = -144*f**2 + 9*f + 3. Let v(c) = -3*l(c) + 16*n(c). Let i(p) = -2*p. Calculate i(v(j)).\nAnswer: 276*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -315362 (base 7) to base 16\nAnswer: -d5c8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 108713 = 7475*g - 250087 for g.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lylujuyypyyyyljuyy. Give prob of picking 1 j and 1 y.\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-11)\/6)\/((-49)\/(-98)) + 11?\nAnswer: 22\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 2*l**3 - 13*l**2 - 11*l + 22. What is g(7)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 738707 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 19904 and 12440.\nAnswer: 99520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w**(-2\/9)*w)\/(w*w\/(w*w\/(w*w*w**(-3)*w))))\/((w*(w**(-2)\/w)\/w)\/w)**(-27\/5) assuming w is positive.\nAnswer: w**(-892\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -9*v - 4. Let g(l) be the second derivative of 2*l**3\/3 + l**2 + l. Let a = -1509 + 1503. Give a*c(k) - 13*g(k).\nAnswer: 2*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = u + 1. Suppose -u*g + 6*g = 6. Solve -i + 15 = -g*i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.007873487433 to five dps.\nAnswer: -0.00787","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -153*y + 875*y - 7942 for y.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 3*u**3 - 7*u**2 - 9*u - 5. Is 31 a factor of l(7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3 - -4. Suppose 0 = 5*t - u + 72. Let j = t + 34. Does 16 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -334179, -335267, -336355, -337443, -338531, -339619?\nAnswer: -340707","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -139*i + 103921. Is y(0) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = 4 + 5. Suppose v*g + 0*g = -3. Put 7, 1, 5, g in increasing order.\nAnswer: g, 1, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 69.46 - 70. Let i = g + 1.54. Let b = -21\/13 - -173\/91. What is the closest to 2\/3 in 5, i, b?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = n - 5. Let w be y(10). Let j be (14\/10)\/(4\/w). Let d be -14 + 12 + -1 + 6 + 0. Is j greater than or equal to d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 5 (b) -1 (c) -0.1 (d) -156\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*((sqrt(833)*1 + sqrt(833) - sqrt(833))*1 + sqrt(153)*-1 + (sqrt(153)*2 + sqrt(153))\/sqrt(9)))**2.\nAnswer: 13328","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u = 5*v - 17, 3*v = 4*v - 5 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2616 - 2585. Calculate the remainder when 73 is divided by q.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -4*h**2. Let w(x) be the first derivative of 10*x**3\/3 + 62. What is w(m(j))?\nAnswer: 160*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -102 + 73. Suppose -15*k - 105 = -10*k. Let i = k - m. Calculate the lowest common multiple of i and 20.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the first derivative of w**4\/4 + 4*w**3\/3 + w**2 + w + 8. Let g be v(-4). Which is the nearest to -0.1? (a) g (b) -5 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 230122120 (base 4) to base 5\nAnswer: 21310122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 131021639?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4\/(-9)*(-9)\/(-6). Sort -5, -8, g.\nAnswer: -8, -5, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) -86 (b) 9 (c) 203\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 76*o - 89*o + 48*o + 1680 for o.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 440\/(-1584)*336\/(-20)?\nAnswer: 14\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_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: Let a = -139 - -161. Let z = -3 - -23. Suppose z = 3*k + 5. Solve k*o + 3 = -a for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(-5*(sqrt(171) + sqrt(171) + (sqrt(171) - -3*sqrt(171)*-2) + sqrt(171)))\/((-5*sqrt(72)*2 + sqrt(72))\/sqrt(8)))**2.\nAnswer: 7600\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b = -1417 + 1427 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 169 is divided by 34?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -22643, -45255, -67861, -90461, -113055, -135643, -158225?\nAnswer: -180801","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 32 + -16. Suppose 0 = w, -4*j + 0*j = -5*w - 8. Suppose -g = -0*g - j. Calculate the smallest common multiple of t and g.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -403, -813, -1225, -1639, -2055, -2473, -2893?\nAnswer: -3315","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 1\/10 of a millisecond?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 39136?\nAnswer: 2, 1223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 23239 = -3*d + 3*m, 3*d = -2*m + 23267. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1)\/6 + (-13)\/(-6). Suppose -x*m + 54 = -104. Let r(h) = -m*h - 5*h**2 + 4 + 74*h + 4*h**2. Determine r(-5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10291498280 rounded to the nearest one hundred thousand?\nAnswer: 10291500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 56853 and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -3*l + l + 4*l. Let m(q) = -4*q**2 + 85*q + 3. Let j(g) = -14*g**2 + 289*g + 10. Let n(p) = -5*j(p) + 17*m(p). Give x(n(h)).\nAnswer: 4*h**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8627.\nAnswer: 8627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 (base 4) in base 9?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.20334 rounded to 3 decimal places?\nAnswer: -0.203","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 259041 is divided by 129490.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 242 (base 6) in base 4?\nAnswer: 1202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -234 - 1121?\nAnswer: -1410","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -z + 22. Let o be s(10). What is the remainder when 143 is divided by 3\/(o\/97) - (-14)\/(-56)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3, 32, 137, 348, 701, 1232, 1977, 2972?\nAnswer: 4253","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -3423 less than 142457261056?\nAnswer: 142457264479","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 + 3 = 2*n. Let g be (-4)\/n + (-77)\/147. Which is the third biggest value? (a) -2 (b) g (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -1. Let o(q) = -q**2 - 5. What is 6*f(z) - o(z)?\nAnswer: z**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4222 divided by 69.\nAnswer: -4222\/69","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.7 - 3.7. Which is the closest to -2\/7? (a) 0 (b) g (c) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (5\/(-5))\/2*(-46)\/184*8\/(-23)?\nAnswer: -1\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 148 + -149. Put -5, o, -0.4, 2\/7 in decreasing order.\nAnswer: 2\/7, -0.4, o, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*f**2*l**2 + 1587041*f**2*l - 875051*f*l**2 wrt l.\nAnswer: 4*f**2 - 1750102*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -27606230445\/7958 - -3468991. Calculate the common denominator of q and 145\/12.\nAnswer: 47748","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o - 83 = -4*t - 195, 14*o + t - 422 = 0 for o.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 394*d - 445. What is the units digit of x(4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 times 41?\nAnswer: 164","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 15521 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: Evaluate (-1 - -1) + -5 - (-3 - -2).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from syhjsuhjwhjjj. Give prob of picking 1 s and 1 j.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -115*n + 11982. Calculate u(87).\nAnswer: 1977","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6 - 4. Let z = -318 + 321. Suppose -128 - 8 = -2*o + z*v, 4*v + 134 = n*o. What is the units digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -1253*t - 2. Let l(n) = 5450555*n + 8701. Give -8701*h(o) - 2*l(o).\nAnswer: 1243*o","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(-3 + 5 + sqrt(832) + 0 + sqrt(832))*-6)**2 + 3.\nAnswer: 82944*sqrt(13) + 4318275","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-2)\/(-14) + 292146\/1022?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -2 + 42\/24 + 9\/4. Solve -10*g**2 - 11*g**2 - 14*g**y + 13*g**3 + 15*g + 12*g**3 - 5*g**4 = 0 for g.\nAnswer: 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*w**4\/5 + 47*w**3\/5 - 42*w**2\/5 - 128*w\/5 - 32\/5 = 0.\nAnswer: -1, -2\/7, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t and 1 l when three letters picked without replacement from {t: 2, l: 3, z: 4, s: 1, g: 4}.\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 13642600 rounded to the nearest 1000000?\nAnswer: 14000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 474\/23 greater than or equal to 20?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 60821*c = 60817*c + 3*j + 3, 4*c + 32 = -4*j for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4525204*-9.\nAnswer: 40726836","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -3\/2 (b) -3 (c) -3680 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 9209 + -9367. Do 8 and z have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 151531 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 4177 (base 15) in base 16?\nAnswer: 360d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 520079.8 tonnes to grams.\nAnswer: 520079800000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 796 is divided by 783?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -z + 6. Let l be c(8). Let k = 1 + l. Calculate the remainder when 22 is divided by (k\/(-2))\/(2\/48).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2.9 - 2.7. Which is the second biggest value? (a) 10 (b) o (c) -3 (d) 2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24 = 6*a - 0*a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 76.96466ml?\nAnswer: 0.07696466","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 5*a - 2446 = 4*v, -5*a = -3*v - 4073. List the prime factors of a.\nAnswer: 2, 11, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 2, y: 1, j: 4, w: 2}. Give prob of picking 1 v, 1 j, and 1 y.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 2385 divided by 3\nAnswer: 795","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 16 and 18215268.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 21247553 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 6) to base 15.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 53218+2\nAnswer: 53220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -12*j - 3*u + 54, 7*j - 340*u + 12 - 61 = -343*u for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that -18*o**4 + 3468*o**3 - 5744*o**2 + 2676*o - 382 = 0.\nAnswer: 1\/3, 1, 191","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that -2*h**3 - 908*h**2 - 85730*h + 357576 = 0.\nAnswer: -317, -141, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*d - 3*d + 0*d)*(-3 + 2 + 3) + 2*d + 0*d + 0*d.\nAnswer: 4*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 36536 to the power of 1\/2, to the nearest integer?\nAnswer: 191","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 333953 is divided by 66754?\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -227*s - 251 - 184 - 927 for s.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 165, 3\/2, 28666?\nAnswer: 165","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 491*x + 2288760 - 2283359 = 0 for x.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z**3 - 33*z - 128. Let i(w) = -3*w - 1. Determine 22*i(l) - 2*q(l).\nAnswer: -2*l**3 + 234","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is f (base 16) in base 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14 is divided by 4 - (-1 + (-9 - -6))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7ce152 (base 16) to base 13.\nAnswer: 19071b9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2 - -7. Suppose 4*t - 36 = -2*x, 3*x - h - 90 = 3*t. Calculate the highest common divisor of x and 56.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (1 - 4)*(3 - 4). Let m be -2 + c + 1 + -2. Put m, -0.2, -0.4 in increasing order.\nAnswer: -0.4, -0.2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/(-6) + (-150)\/(-4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - 10 = 0, 3*q + 5*a = 2 - 3. Sort 0, q, -4 in increasing order.\nAnswer: -4, 0, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 29 * -788.\nAnswer: -22852","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 626862 + -375485. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -393 + 710. Let i = -317 + m. Which is the fourth biggest value? (a) 1\/2 (b) -0.3 (c) 6\/25 (d) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 559 is divided by ((-567)\/(-18))\/((-81)\/(-54)).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -205433 - -205478. Let w(n) = n**3 + n - 2. Let j be w(2). Solve j*h + h = -o for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = 3*r - 87750. Let c be ((-800)\/2)\/(3\/r). What is c rounded to the nearest 1000000?\nAnswer: 12000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 d when three letters picked without replacement from ddd?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -96*z + 63*z + 153 = -12. Let w(u) be the first derivative of 30*u**2 + 10\/3*u**3 + 40*u - u**z + 8 - 15\/4*u**4. Solve w(b) = 0.\nAnswer: -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 - 24225735.68826?\nAnswer: -24225735.78826","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (54\/9)\/(-3*1\/2).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 206\/7 in -2\/3, -3, 0, -3\/5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) be the second derivative of l**4\/6 - 23*l**3\/6 + 13*l**2\/2 - 9806*l. What is j(7)?\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 315 = 5*y - 2*u, 81 = y - 3*u. Suppose 4*d - y = d. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g**(-8))**(-2\/77)*(g**(-16)\/g)\/g**(11\/4) assuming g is positive.\nAnswer: g**(-861\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2.553 - -2.153. What is the nearest to -0.2 in 1, f, -9\/11, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9)\/22*1776\/(-1998).\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 386 divided by -1747?\nAnswer: -386\/1747","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*h + 10*h + 2 - 7*h - 5*h**3.\nAnswer: -5*h**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -167*n**2 - 2 - 7 + 332*n**2 + 3 - 163*n**2.\nAnswer: 2*n**2 - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 16\/53 and -39\/265.\nAnswer: 265","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is b8db8 - -18?\nAnswer: b8dd0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -30*y**3 + 28*y**3 - y + 11*y wrt y?\nAnswer: -12*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 70827, -55, -5 in decreasing order.\nAnswer: 70827, -5, -55","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 1036 = -u, -2*y - 6 = 4. Let f = 2015 - u. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.201332 meters in nanometers?\nAnswer: 5201332000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1202405?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 949.\nAnswer: 13, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t\/t**(-2\/17)*t)\/(t*t\/((t*t*t\/(t**5*t))\/t))*(t**(2\/13)*t)\/(t*t**(-3)))**32 assuming t is positive.\nAnswer: t**(1920\/221)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -1. Let x(b) = -b**3 - 7*b**2 + 17*b + 79. Let m be x(-8). Let w(h) = -h**2 - h + 4. Let l(q) = m*y(q) + 3*w(q). What is l(-4)?\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -581, -1153, -1725?\n\"Answer: -572*i - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*w - 5*w**2 - 3*w)*(0*w - 5*w + 3*w)*(0 + 4 - 7).\nAnswer: -30*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 224*h + 115659939 = 843*h - 193958. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 153, 155, 157, 159, 161, 163?\n\"Answer: 2*l + 151","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*i = 5*i + 15. Let k = i + -14. Which is greater: 2 or k?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1892 = 46*o + 40*o for o.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-36)\/840*-14*((-45)\/(-12))\/((-36)\/24)\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 295*s**2*z**6 + s**2*z**3 - 2*s**2*z**2 + 2*s*z**2 - 40 wrt z.\nAnswer: 35400*s**2*z**3 + 6*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 5*k**2 + k + 5. What is p(-5)?\nAnswer: 125","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3366 is divided by 838.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + 4 + 4 + -10?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 35079*c + 5315. Let h(k) = -25*k - 5. Let x(d) = 2126*h(d) + 2*t(d). Let v(a) = -a**2. What is x(v(b))?\nAnswer: -17008*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1652627 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*c**3 - c**3 + 4*c**3 + 0*c**3.\nAnswer: -2*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -w**2 + 4*w - 4. Let a = -53 + 57. Let x(z) = -3*z + 3*z + 3*z - 3. Determine a*x(v) - 3*s(v).\nAnswer: 3*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = l**3 - 11*l**2 + 3*l - 13. Calculate the lowest common multiple of 82 and v(11).\nAnswer: 820","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 47428*w + 237024. What is g(-5)?\nAnswer: -116","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*t = -8*t - 1 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1292 + -221. Suppose -w = 4*r - b - 40, 5*w - 3*r = 5555. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 91.262 (b) -1\/5 (c) 0.5 (d) 2 (e) 1.9 (f) 5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nc when two letters picked without replacement from anaaacaccac.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 118918 (base 12) to base 16.\nAnswer: 45824","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4.4 - 4.389. Let f = 17.022 + -17. Let q = f - g. What is q rounded to two dps?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -97\/18 and -61\/136956.\nAnswer: 410868","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -m*p**2 - 1542140*m - p**2 - 10986*p wrt p?\nAnswer: -2*m*p - 2*p - 10986","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -20 + 121\/6. What is the second smallest value in d, -1, -2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = u + 1. Let x(h) = 6*h - 6*h**2 + 6*h**2 + 5 + h**2. Let w be x(-4). Calculate t(w).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -37 - -31. Suppose 0*q + 5 = -q. Which is smaller: s or q?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 13\/51052?\nAnswer: 13\/51052","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(2\/5)\/h)**(-1\/3) assuming h is positive.\nAnswer: h**(1\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 1 + 2*l**2 - 2*l - 3*l**2 - 3. Let f(b) be the third derivative of b**5\/60 + b**4\/8 + b**3\/2 + 16*b**2 + 2. Calculate 2*f(c) + 3*g(c).\nAnswer: -c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00185172 rounded to five decimal places?\nAnswer: -0.00185","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -29043 - -1945854\/67. Is d < 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2 and -36190839.\nAnswer: 72381678","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x*((x*x*x**(-1))\/x)\/x*x)\/x)**41\/((x\/(x\/(x*x**10\/x)))\/(x\/(x**7*x))))**35 assuming x is positive.\nAnswer: x**(-595)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r - 3*x + 4*x = 89, 0 = 3*r + x - 55 for r.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 370351 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 7*x + 6 + 5066*x**2 - 3*x - x + 0*x. Is w(-1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -51135407*0.6\nAnswer: -30681244.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -3*((-25)\/15)\/1\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 645881158*m**4 + 1005151087?\nAnswer: 2583524632*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 43280334 to the power of 1\/5, to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*c**2 - 1557*c - 77 + 1557*c + 78 + 22*c**2.\nAnswer: 44*c**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*f**2 - f**2 - 232960*f - 2*f**2 + 232948*f + 2 + 4*f**2 - 3457*f**5 wrt f.\nAnswer: -207420*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9313994532?\nAnswer: 2, 3, 23, 43, 784799","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 306 = -3*x, 723 = 92*m - 87*m - 3*x. What is the highest common factor of 27 and m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 2 + 2)*(97*x**2 - 107 + 88*x**2 - 205*x**2) in the form w*x**2 + y + m*x and give w.\nAnswer: -120","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 * 167551.83.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 26 and 20.\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from luubtzukklblb. Give prob of sequence kkl.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -17*j + 91. What is n(12)?\nAnswer: -113","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 262 = 53*a - 52*a, 2*p - 5*a = -186. Do -94 and p have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (4\/1)\/(2 - 0). Suppose v + 11 = -4*v - 4*y, -x*v - 6 = 2*y. Differentiate 2*t**2 + 2 - t**2 - v wrt t.\nAnswer: 2*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6370 and 3675.\nAnswer: 245","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = t**3 + t + 3. Let m(d) = -d**3 - d - 3. Suppose 220 = -8*z + 300. Suppose 12*h + z = 14*h. What is h*m(l) + 4*i(l)?\nAnswer: -l**3 - l - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 600 and 48?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = n**2 - n - 3. Let x be f(4). Suppose 0 = 4*l - x*l - h + 55, 2*l - 3*h - 5 = 0. Let y = -6 + l. Solve 10 = y*k - 6 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -99 = 5*f - 119. What is the second smallest value in 2\/15, f, 2\/19?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18 - (16 - (81 - (-12 - -33))).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*i + 3*i - 4*i)*(223 - 726 + 2892)*(6*i**3 - 3*i**3 - i**3) to the form f + r*i + q*i**3 + o*i**4 + c*i**2 and give o.\nAnswer: 9556","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 67878398?\nAnswer: 2, 7, 1283, 3779","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 9*h**2 + 35697*h + 509808.\nAnswer: 3*(h + 3952)*(3*h + 43)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-765)\/(-3 - 2) + -3. Let s = -107 + z. What are the prime factors of s?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - v + 2 = 0. Let y be (v\/(-2))\/((-10)\/16). Let r = -3789.1 - -3789. Which is the second biggest value? (a) r (b) y (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 102 and 42.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5.14 + -0.14. Let u = 0.2 - -0.3. Which is the biggest value? (a) s (b) 0.2 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/(-5) - 21\/(-60). Let v be (-2)\/((-1)\/1) + 1. Let b = -69 + 64. What is the closest to q in v, b, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 14\/(-4)*(5 - 7). Let w = -2 + c. Let n = 6 - w. Put 5, -2, n in descending order.\nAnswer: 5, n, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = m**2 - 11*m - 16. Let o be h(12). Is o at most as big as -6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 0 = -3*k + 29, 0 = 3*k - 5*t - 1. Suppose k*c = 591 + 655. Is 6 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -40206, -40210, -40214, -40218, -40222?\n\"Answer: -4*v - 40202","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 3*y = -0*v + 213, -5*v = y - 359. Suppose 2*h + 2*w - 24 = 0, -2*h - 6*w + 18 = -2*w. Calculate the remainder when v is divided by h.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 17*l**2. Let y(g) = -34*g**2. What is -7*r(v) - 4*y(v)?\nAnswer: 17*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 8*d**2 + 43*d + 11. Let u be z(8). What is the greatest common factor of u and 51?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 6*d**2. Suppose -2 = -x - 1, 3*x - 8 = 5*u. What is the smallest common multiple of c(u) and 38 - -1*(-1 + -1)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5476 divided by 2.\nAnswer: 2738","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 110002 + 0?\nAnswer: 110002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 20427, 40843, 61247, 81633, 101995, 122327, 142623, 162877?\nAnswer: 183083","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-6)\/(-24) + 3\/20. What is the second smallest value in a, 0.06, -4?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*a - 12223 - 12248 - 12245 - 12248 + 48964.\nAnswer: -2*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -3 + 0*j + 5*j + 4. Let d be q(2). Suppose 3*o = 2*o + 121. What is the highest common factor of d and o?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (10 - (22 + 13 + -17 + -13)) + -2 - 30\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -159 + 148. What are the prime factors of 12\/14*(7 + u - -46)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + -1*sqrt(637)*-2)**2 + (sqrt(637) + 0 - sqrt(637))*4 + -5 + 2.\nAnswer: -56*sqrt(13) + 2549","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12295.\nAnswer: 5, 2459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*w + 10*w. Let d be (-2)\/(-3) - 2\/3. Suppose q + d = 3. Solve q*z + w*z = -9 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -680 + 5433. Is z a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -846*v**2 + 2*v**3 + 846*v**2 + 10*v to the form h*v**2 + f*v + m + l*v**3 and give f.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1678 a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 26\/1641207 and 19\/2955.\nAnswer: 8206035","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (x**2 - 3*x**2 + x**2)*(-4 - 1 + 0)*(-26*x + 484 - 484).\nAnswer: -130*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 49 = 2*h, 0*h + 4*p = h - 22. Is h a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*(w*(w*w**(4\/9))\/w)\/w*w*w\/(w*w**(1\/7)))**(9\/5) assuming w is positive.\nAnswer: w**(29\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 463429634, 463429635, 463429638, 463429643, 463429650?\n\"Answer: x**2 - 2*x + 463429635","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-4\/7))**32)**31*(m**(-2))**(-2\/37)\/(m\/(m\/(m\/(m\/m**(-1)*m))))**15 assuming m is positive.\nAnswer: m**(-139018\/259)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*b + 214 + 74. Let x = -56 + b. Does 15 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-7 + 4)*(-1 + 0). Suppose 0 = -w*m - 13 + 61. What are the prime factors of (20\/m)\/(2\/8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is r in 3*r**3 - 15*r**2 - 42*r = 0?\nAnswer: -2, 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 1, -0.1, -17, 0?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.5 and 201.\nAnswer: -100.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = 8, -n - n + 5*f - 16 = 0. Put 3, n, 15 in ascending order.\nAnswer: n, 3, 15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1.07, -2, 4, -1\/4, 13564 in decreasing order.\nAnswer: 13564, 4, 1.07, -1\/4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 0.1 (b) -0.022 (c) -7 (d) -1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -18 + 0 + 6*o**2 + 11 + 22 + 11. Let m(f) = -2*f**2. Give t(m(j)).\nAnswer: 24*j**4 + 26","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -8? (a) -0.4 (b) 0.2 (c) -1\/5 (d) 16 (e) 7287\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 39250628 and 6908.\nAnswer: 628","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-135)\/9 + 40\/8. Put 4, 0, -4, o in decreasing order.\nAnswer: 4, 0, -4, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 162 + 2682*w**2 - 2682*w**2 - w**3 wrt w.\nAnswer: -3*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q - 13 = -1 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 9*s = 2*z - 63, 5*s = 4*z + 35. Solve -3*h - 5*u + 27 = -z*h, 3*u = h + 5 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 5*k - 2 - 2 + 5 - 4*k. Let g be -1 - (-4)\/(5 - 1). Determine x(g).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-9 - (-8 - -6)) + 8. Let c be (3 - r)*1 + 17 + -13. Solve 2*o = c*o + 4 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -1026, -4240, -9584, -17052, -26638, -38336?\n\"Answer: w**3 - 1071*w**2 - 8*w + 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10, 51, 120, 217, 342, 495, 676?\nAnswer: 885","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 6, s: 2, g: 3, o: 1, n: 4, a: 3}. What is prob of picking 2 g and 2 a?\nAnswer: 3\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 70287223 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-1\/54)\/b**(1\/3))\/(b\/b**(7\/6)*(b\/b**39*b)\/b) assuming b is positive.\nAnswer: b**(1021\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -4892, -9795, -14700, -19607, -24516?\n\"Answer: -p**2 - 4900*p + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-2)\/4)\/(7\/28). Let t be (1\/(-1))\/(p\/16). Solve 5*f = -l - 20, 3*l - t = -2*f - 3 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*c - 5*q + 39, 4*c - 3*q - 8 = 5. Suppose 12*a - 6 = 6*a. Differentiate a + 8*p - c + 1 wrt p.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*o = o - 12 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 11255 (base 9) to base 3\nAnswer: 101021212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 35, 45, 55, 65, 75, 85?\n\"Answer: 10*q + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 10 = -2*w, -5 = -2*i - 3*i. Let h(f) = -f. What is h(w)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 + -25 + (-33 + 27 - -9).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1559.9 + -70270033.\nAnswer: -70271592.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1157477205?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 18176, 36396, 54664, 72980?\n\"Answer: 24*u**2 + 18148*u + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 120 = 23*k - 53*k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.677044ml in litres?\nAnswer: 0.002677044","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -82\/28365 and -23\/12.\nAnswer: 113460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 107526.\nAnswer: 2, 3, 17921","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -d**3 - 8*d**2 + 7*d + 3. Let y be r(-9). Let s be (-16)\/6*y\/(-28). Suppose 3*i + 3*u - 117 = -6, -5*u = s*i - 74. What is the tens digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.01 + 100997904.8.\nAnswer: 100997904.81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - -118) + 910 + -932?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -80 - -96. Suppose 3*v + z*x - 14*x - 152 = 0, 2*x = -10. Solve -49*q + v*q - 20 = 0 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q**4 + 2600*q**3 + 31695*q**2 + 119450*q + 133000 = 0.\nAnswer: -5, -2, 532","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (3*-5*(0 + sqrt(112)))**2.\nAnswer: 25204","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 55541261 + 4?\nAnswer: 55541265","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 9 - 12. Let l be ((-2)\/k)\/((-4)\/6). Let x = 42 + l. List the prime factors of x.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 241, 281880 in increasing order.\nAnswer: -1, 241, 281880","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 573 minutes after 10:11 AM?\nAnswer: 7:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 2714, 5431, 8150, 10871, 13594, 16319, 19046?\n\"Answer: l**2 + 2714*l - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = b**2 + 4*b + 2. Let o be m(-6). Suppose -9*c + o*c - 33980 = 0. Let d be (-6)\/(-51) - c\/(-34). What is d rounded to the nearest one thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -396, -404, -418, -432, -440, -436, -414, -368?\n\"Answer: d**3 - 9*d**2 + 12*d - 400","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6 - -11. Let m be (2 - g - -2) + 1. Suppose m = -2*n + 6*z - 4*z + 38, -3*z = -n + 25. List the prime factors of n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 234338323?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qiiiiqiiqdiqii. What is prob of picking 1 i and 2 q?\nAnswer: 27\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b - 8*a + 76 = 115, -2*a + a = -b + 13 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -f**3 + 13*f**2 + 6*f + 129. Let q be z(13). Which is bigger: 198 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -131310231330 (base 4) to base 11.\nAnswer: -445a951","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 14025625?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1 - 1. Suppose 0 = 3*j + l + 2, r*l + 2*l + 3 = -5*j. Let o = j - -13. List the prime factors of o.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = i - 1. Suppose -5*h + 9*h = 8, 3*t - 29 = 2*h. Let m(o) = -5*o + 2*o + t*o + 0 - 7. Determine -6*f(d) + m(d).\nAnswer: 2*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-4))\/((-1)\/3)*29\/(-1044)?\nAnswer: -1\/24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3 - -361?\nAnswer: 35d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -r**3 - 4*r**2 + 2*r + 11. Let s be i(0). Put s, 3, -6, 4 in decreasing order.\nAnswer: s, 4, 3, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the first derivative of -2\/5*o**5 + 1 + 2*o - 4\/3*o**3 - 1\/15*o**6 - o**4 - o**2. Let x(n) be the first derivative of r(n). Factor x(k).\nAnswer: -2*(k + 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -0.2, -1\/9, 16, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-5142)\/(-5) - (-2)\/(-5). Suppose -f = -5*f + n. Let r = 376 - f. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 8 - (240\/300 + 44\/(-5)). Let n(z) = 3*z - 45. Determine n(b).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -2*s + s**2 - 5 + s + 8*s**2. Let t(f) = 5*f**2 - f - 3. Let l(w) = -3*k(w) + 5*t(w). Suppose l(c) = 0. What is c?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -59170155827*h + 59170155826*h - 20 + 71.\nAnswer: -h + 51","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 597\/2? (a) -2\/3 (b) -94\/7 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -78*n. Let j(g) = -15*g. Calculate x(j(i)).\nAnswer: 1170*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 13 - 9. Suppose -5*d = 3*a - 3*d - 92, -r*a + 104 = -2*d. Calculate the highest common divisor of 14 and a.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 8427, 16865, 25311, 33765, 42227?\n\"Answer: 4*a**2 + 8426*a - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2259?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 12 and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.06 - 0.65. Let z = m + -0.01. Let q be 3\/6 - (-22)\/(-12). Which is the biggest value? (a) q (b) z (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1330071 (base 8) in base 11?\nAnswer: -2350a3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 818841623 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10*n - 25*n + 15*n + 88*n**2 to k*n + y*n**2 + b and give y.\nAnswer: 88","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-4)\/10)\/(3\/(-270)). Let p = 80 - t. Suppose -d + 5*g + 125 = 4*d, p = 2*d - 5*g. What is the remainder when d is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -14 + 31?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -223119 (base 10) to base 16\nAnswer: -3678f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:22 PM and 10:23 PM?\nAnswer: 421","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 5, s: 2, l: 2, r: 5, p: 1, g: 2}. Give prob of picking 2 s and 2 g.\nAnswer: 1\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2389.076 - -2413. Let f = s + 0.076. Is f != 2\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1218?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 787*w**3 - 4*w**2 + 23*w - 20. What is the hundreds digit of i(1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1101 (base 3) in base 6?\nAnswer: -101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -16 and -0.999.\nAnswer: 15.984","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 3*h = -201, g + 4*h + 13 - 77 = 0. What is the units digit of 1\/(-2) - g\/(-8)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -10*t - 5. Is g(-6) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8827, 8398, 7967, 7534, 7099, 6662, 6223?\nAnswer: 5782","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 19 + -1 + 2\/(-1). Suppose -4*j = 3*b - 12, j - 2*b = 2*b - u. What is the closest to j in 5, -0.1, 2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -n**3 - 13*n**2 - 55*n - 959. Let b be m(-14). Solve 23 = 3*v - 2*l + b, 2*v + l + 1 = 0 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 15\/49, 6, 0, -2930?\nAnswer: -2930","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 928.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -29 + 38 + -11 + (3 - (0 - -1))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1204.6502 - 1216.17. Let o = v - 0.0302. Round o to the nearest integer.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 5\/8 of a kilogram?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -186884 by -76.\nAnswer: 2459","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is o in -3*o**3\/4 + 63*o**2\/4 + 72*o + 75 = 0?\nAnswer: -2, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2*0.107.\nAnswer: -0.0214","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 72 is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 33 in 17, -45, 28, 3\/4, 1?\nAnswer: 28","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 26 - 24. Let g(k) = 121*k**3 + 4*k**2 - 5*k + 5. Is g(p) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.05 (b) 0.1 (c) 1 (d) -49\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1098125, -1098117, -1098109, -1098101, -1098093?\nAnswer: -1098085","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 966 + -965. What is the third smallest value in 2\/53, n, 1\/6?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -30 + 4. Let n = s - -35. Put -3, -1, n in ascending order.\nAnswer: -3, -1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -105526 - -109148.23?\nAnswer: 3622.23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-107 - -93) + (25 - 2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) be the second derivative of z**3\/3 - 12*z**2 + 2*z + 2624. Determine f(-11).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(85) - (-4*sqrt(85) + sqrt(85)))*-2 + sqrt(85) + sqrt(85) + sqrt(85) - sqrt(85)*-3*2)\/(5*3*sqrt(720)*4) + 5)**2.\nAnswer: sqrt(17)\/72 + 12960017\/518400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}