diff --git "a/data/dm_maths/full_data_2/1528_11255.jsonl" "b/data/dm_maths/full_data_2/1528_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_2/1528_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Is -2\/513 > 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -4*l - 4. Let x(c) = 3*c + 1. Let h(n) = 4*n + 1. Let y(w) = -2*h(w) + 3*x(w). Let m(s) = -4*f(s) - 18*y(s). Give m(4).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 554573?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 14 - 15. Calculate the common denominator of -143\/12 and w\/(-2) - (10626\/324)\/11.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 33 and 69.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*c*n**3 + 23052*c + 201764*n**3 + n + 41 wrt n?\nAnswer: -6*c*n**2 + 605292*n**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Solve -6537*i + 4*q = -6540*i - 24, 16 = -2*i - 5*q for i.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -20c4 (base 13) to base 15\nAnswer: -1539","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3894696 divided by 53352.\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -18 (b) 305.2 (c) -215\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 1, -8, -6, 12644 in ascending order.\nAnswer: -8, -6, -1, 1, 12644","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 4 times 59160.1\nAnswer: 236640.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/(z**4*z))\/z**(5\/4))\/(z*z**(-2\/11)\/z)**18 assuming z is positive.\nAnswer: z**(-87\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 60266*w + 48431 wrt w.\nAnswer: 60266","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = n. Let f be (1 + -13)*(-5)\/15. Suppose 0*z + 5*z = 0. Let a(j) = -2*j**2 + z*j + f*j - 4*j. Determine t(a(i)).\nAnswer: -2*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -c**2 - 2075*c. Let k(j) = -1267*j**2. What is n(k(w))?\nAnswer: -1605289*w**4 + 2629025*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 84282*h - 3 - 84282*h - 138*h**2.\nAnswer: -138*h**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((-5*(sqrt(2299) + 3*sqrt(2299)))**2 + ((5 + sqrt(2299))*2 - sqrt(2299))).\nAnswer: 22*sqrt(19) + 1839220","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 136, -8, 2, -2, 7, -5 in descending order.\nAnswer: 136, 7, 2, -2, -5, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 665 = -7*q + 2*q, 0 = 4*o + 4. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1246936 to the power of 1\/3, to the nearest integer?\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 96\/(-30)*(3 + -31 - -33).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 173786, 173851, 173916, 173981?\n\"Answer: 65*o + 173721","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 2306*d - 861. Is g(20) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2 and 32898?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = c**3 + 3*c**2 - 3*c - 5. Let o be m(-4). Let w be 2\/13 + o + (-1440)\/(-104). Solve -4*v = w*v + 36 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -z**2 + 6*z - 3. Let q be p(3). Suppose b = q*b. Suppose 2366 = w + 2*w + 5*m, -2*w - m + 1589 = b. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(36)*-1*1 + sqrt(36) + sqrt(72)\/sqrt(32))\/(sqrt(60)\/((sqrt(5) + sqrt(25)\/sqrt(5))*-5)) + -4.\nAnswer: -5*sqrt(3)\/2 - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + -12 + -63 + 10 - (-18 - -17)?\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 69 minutes before 8:58 PM?\nAnswer: 7:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 30*x**3. Let o = -919 - -920. Determine n(o).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c + 4*c + c - 2*c. Let n(b) be the second derivative of b**7\/1260 + b**4\/6 - b. Let v(u) be the third derivative of n(u). What is r(v(d))?\nAnswer: 8*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5581*o**2 - 64*o - 1125216 wrt o.\nAnswer: -11162*o - 64","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 58438331?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 503 a factor of 2534614?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4)\/8*-8 + 6. Suppose 0 = h*q + 27 - 87. Let k be 22*1\/q*-3. Which is the nearest to -0.1? (a) k (b) 5 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-139)\/5*(3 - 13 - -5) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-611800)\/(-25300) + ((-40)\/(-22) - 2).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6.1 + 1.1. Let l = 764842.00001 + -764837. Let k = l + p. What is k rounded to 6 decimal places?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 221\/(-255) - (-1)\/5\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -1\/3 (b) 5 (c) -42\/11 (d) -26\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 - 1 - 1)*((-12 - 7 - 9)*(-3*s + s + 3*s) + 0*s - 4*s + 2*s) to p*s + y and give p.\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put together 833154.8681 and -0.35506.\nAnswer: 833154.51304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 100 + -101. Sort l, -3\/4, -2\/7, 5.\nAnswer: l, -3\/4, -2\/7, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -276 - -402. Suppose -o + 4*b = 4*o - 322, -3*b = -2*o + g. Solve 56 = 5*x + o for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -14*(1*3)\/((-8)\/(88\/(-33)))\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Expand (2*w + w**2 - 2*w + 5*w**2 - 4*w + 4*w + (-2 - 1 + 1)*(-w**2 - 4*w**2 + 4*w**2) + 2*w**2 + 2*w**2 + w**2)*(-10*w + 10*w + 5*w**3).\nAnswer: 65*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:35 AM and 12:05 PM?\nAnswer: 690","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i**3 - i**2 + 15. Calculate the remainder when 43 is divided by u(0).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*j - 8*v + 7*v - 6, 0 = -5*v - 10. Suppose -4*a - j*h = 44 - 128, 4*a + 5*h = 78. What is the remainder when 129 is divided by a?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 118759, 237548, 356341, 475138?\n\"Answer: 2*a**2 + 118783*a - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -337*g. Let d(u) = 5*u**2. Give d(a(y)).\nAnswer: 567845*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*i = i + 50. Let d(y) = -y**2 + y - 4. Let c be d(0). Let l be -18*(1 + i\/c). Calculate the greatest common divisor of 18 and l.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1248852 a multiple of 132?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -11411 rounded to the nearest one thousand?\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 - 40 + 38 + 40*c)*(1 - 2 - 4)*(c + 3*c - 3*c) as d + a*c + l*c**2 and give a.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 228207?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -u**3 + 7*u**2 + u + 180. Determine j(9).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2 - (-3 + 1))*1. Suppose 6*q - 2*q = 3*x - 1, 3*q - 6 = k. Which is smaller: -2 or x?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -t**3 + 46*t**2 - 166*t - 81. Calculate w(42).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 113964395 and 1766?\nAnswer: 883","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -27.708 - -27.718. Which is smaller: a or 153.9?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r when two letters picked without replacement from duuuirrrduud.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -l**2 + l + 3. Let c be w(4). Let p(j) = j**3 + 9*j**2 - j - 7. Let o be p(c). What is the derivative of 0*z**2 - 2 - 3*z**2 + z**2 - z**o wrt z?\nAnswer: -6*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.7 (b) -110 (c) 1\/10 (d) -5 (e) -1\/22\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -940635 by 188127.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 26\/3 (b) 0 (c) -2 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iiiiiiiu. What is prob of sequence iiu?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(34) - (sqrt(34) + (sqrt(34) + sqrt(1666))*-5) - sqrt(34))\/(-5*sqrt(128)).\nAnswer: -39*sqrt(17)\/40","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 71 = -5*a + 46 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 14 + -18?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1772031401 to the power of 1\/2, to the nearest integer?\nAnswer: 42096","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -281*r + 284*r - 16 = 2*g, -3*r - 1301 = 4*g - 1323 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1 + -1. Suppose x = -5, -8*x - 85 = -5*z - 10*x. Suppose 0 = -i*g + g - z. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1377)*-3)**2 + (2 + sqrt(153))**2 + 5.\nAnswer: 12*sqrt(17) + 12555","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1724 and (13 - (-1778)\/(-42))*((-45)\/6)\/5.\nAnswer: 18964","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7513 is divided by 3369?\nAnswer: 775","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -2\/11, 4, -1, -4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 27736.10719 rounded to the nearest 10?\nAnswer: 27740","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 413 (b) 852 (c) -0.01\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oy when two letters picked without replacement from yyryyoyroooyy?\nAnswer: 7\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -2698.586 rounded to the nearest integer?\nAnswer: -2699","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-527)\/238*-14)\/(-5)?\nAnswer: -31\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 e when three letters picked without replacement from eer?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/9 (b) 4 (c) 0 (d) 15.86\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.29 - 0.01. Let v = 8 + -8.06. Let g = -0.34 + v. Which is the third biggest value? (a) g (b) f (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1ab662 (base 13) in base 12?\nAnswer: -28a930","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -3*t**2 + 2*t**2 - 7*t**2. Let a(b) be the first derivative of -2*b**3\/3 + 75. Give h(a(x)).\nAnswer: -32*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -12 - -17. Solve 2*a = a - g for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(26)\/(3*sqrt(72)) + sqrt(325)*3*4 + 1)**2.\nAnswer: 1081*sqrt(13)\/3 + 15194209\/324","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 14644 and 28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1484573?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22 = z - 2*a - 9, -8 = z - a for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 6, j: 4}. Give prob of picking 1 w and 1 j.\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 2*k**2 - 3*k - 2. Let z(q) = -q**3 + q**2 + 5. Let f be z(0). Is c(f) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -2*s**3 - 207*s**2 + 101*s - 330. What is x(-104)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -18, -18, -8, 18, 66, 142?\n\"Answer: c**3 - c**2 - 4*c - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -66 + 84. Find the first derivative of 49*p - 7 - w*p - 51 wrt p.\nAnswer: 31","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 5 (b) -120 (c) 4 (d) 19\/18\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.08 or -120?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that -35912*j**2\/3 + 2680*j\/3 - 50\/3 = 0.\nAnswer: 5\/134","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 15\/632 and 53\/948.\nAnswer: 1896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 439 is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 3 - (2 - (2 + 0))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 119894.\nAnswer: 2, 151, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the first derivative of -4*p**3\/3 + 5*p**2 - 4*p + 8. Factor l(c).\nAnswer: -2*(c - 2)*(2*c - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -349463.594 and 0.4?\nAnswer: 349463.994","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the second derivative of 0 - 1\/2*p**3 - p**2 - 2*p. Differentiate o(h) wrt h.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = 5 - 0. Let o = p - -16. Suppose -4*j + o + 5 = 0. Sort 0, -5, j in increasing order.\nAnswer: -5, 0, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) be the second derivative of -x**4\/12 + 11*x**3\/6 - 11*x**2\/2 - 2*x. Suppose -2*t + 16 = -0*t. What are the prime factors of o(t)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 230?\nAnswer: 2, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -1. Let j(g) = -2*g - 75 + 26 + 26 + 17. Suppose -5*d = -3*l - 48, -4*d + 5*l + 16 = -25. Suppose -8*u + d*u - 6 = 0. Give u*w(y) - j(y).\nAnswer: 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = h + 292. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*n - 2*n + 76. Let p be (-8)\/930*(-12005)\/14. Let v = 1\/744 - p. What is the common denominator of n and v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 8669561 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 8004 to the power of 1\/6, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -7 - (22 + 4) - (1 + -25) - (2 + 4)\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2514478529 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1872)*-1 - sqrt(1872)) + 4 + 2*sqrt(1872)*5)**2 + 3.\nAnswer: 768*sqrt(13) + 119827","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*d**2 - 16626*d + 16626*d.\nAnswer: -7*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/10*(40\/(-15))\/4?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -5*h + 4*p, -h - 2 + 5 = -p. Let m(b) = -4*b**3 + b**2 - 2*b + 2. Determine m(h).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 33 in -2, -0.4, 51, -20?\nAnswer: 51","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (144\/(-468))\/((-2)\/26). Suppose 0*p + 4*k - 1836 = -2*p, -3*p - l*k + 2752 = 0. What are the prime factors of p?\nAnswer: 2, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = -1, 3*n + 15 = -3*m - 0. Sort 3, 2, m.\nAnswer: m, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*a - s - 166 - 144, 0 = s + 1. Let l be (-26660)\/(-280) + 10 - (-6)\/(-28). Is l less than or equal to a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 460641.\nAnswer: 3, 233, 659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o**2 + 6\/5*o + 0 - 1\/5*o**4 - 2\/5*o**3 = 0. Calculate o.\nAnswer: -3, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-36)\/(-6) + (-40)\/660*390\/4. What is the biggest value in z, 0.1, -0.3, 4\/5, -2?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1474?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -5*v**2 + 31*v - 5. Calculate the lowest common multiple of d(6) and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-20592)\/192 + (58\/24 + -2)\/((-355)\/(-213))\nAnswer: -107","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 92 + -90 + -1*7515. Round u to the nearest one thousand.\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 606*f**2 - 746 with respect to f.\nAnswer: 1212*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 36446 is divided by 36446?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8 - 5. Let m(o) = -2 - q*o + 2. Let a(p) = 9*p**2 + 10. Let h(b) = 11*b**2 + 12. Let y(c) = 6*a(c) - 5*h(c). Determine y(m(s)).\nAnswer: -9*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.254254ml in litres?\nAnswer: 0.004254254","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*n = 11*n - 240. Put 3, 1, n in decreasing order.\nAnswer: 3, 1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -2*j**3 + 6*j**2 - 6*j + 5. Let d(f) = f**2 - f. Determine 6*d(y) - x(y).\nAnswer: 2*y**3 - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 2*v - 0*v. Sort -5, v, 5 in ascending order.\nAnswer: -5, v, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*z + 699 + 1821 = 0. What is the highest common divisor of 168 and z?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 26902, 25943, 24990, 24043?\nAnswer: 23102","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4\/17 - -6\/119. Put -1\/2, r, 10 in descending order.\nAnswer: 10, r, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -o**3 + 3*o. Let m(u) be the second derivative of -u**4\/24 - 30*u**2 - 131*u. Let w(b) be the first derivative of m(b). What is -j(c) - 5*w(c)?\nAnswer: c**3 + 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.24 in 0.06, 1, -3?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 3*q + 4)*(-2*q + 0 + 0)*(-16*q - 4*q**3 + 16*q).\nAnswer: 24*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -j**3 + 5*j**2 - 3*j - 6. Let q be d(4). Let g be (-77)\/(-14) - 6 - 1\/q. Let h = -4 + 3. Sort g, 2, h.\nAnswer: h, g, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 423116 to the nearest integer?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 18, 46, 106, 210, 370, 598, 906, 1306?\nAnswer: 1810","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 47\/2220 and 109\/60?\nAnswer: 2220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c = -2*f - 6, 5*f - 8 + 31 = -3*c for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -721 = -1200*a + 9253 - 1574 for a.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -z**2 - z. Let m(f) = 6*f**2 - 5*f - 7. Let k(d) = -m(d) + 5*r(d). Let c(o) be the first derivative of k(o). Let i(b) = 2*b. Give c(i(j)).\nAnswer: -44*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4954\/21 - 236. Is f < 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -4*f + 7. Let h be (-24)\/(-9)*45\/20. Calculate q(h).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 7*u + 2. Let h be t(5). Let c = h + 4. Is c a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3927566 is divided by 214.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -136218 times -184\nAnswer: 25064112","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 12) to base 15.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 246141 is divided by 61527?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**1*y)**(-1\/16)*(y*y*y**5)**(3\/5))**10 assuming y is positive.\nAnswer: y**(163\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -9*l + 307. Let n(k) = 8*k - 308. Let a(w) = -4*h(w) - 3*n(w). Let x be a(25). Let z(b) = -b**3 - 5*b**2 - 3*b - 4. What is z(x)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 8 - 5. Let m be 22 - (-5)\/(-15)*-3. Suppose n*i - 1 = m. Calculate the least common multiple of 11 and i.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -7, -0.5, -16?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 5 = 2*c + 3, 2*p - 4*c = 12. Let y be (-1)\/5 - 5\/((-25)\/p). Let j be 5 - (y + (-4 - -3)). What is the greatest common factor of j and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*l + 21*l = 318. Let o be ((-6)\/(-4))\/(3\/16). What is the lowest common multiple of (16\/3)\/(o\/12) and l?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-33)\/22)\/((-6)\/(-20))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 16*p**4 - 12*p**4 + 42*p**4 + (0*p**2 + p**2 - 4*p**2)*(-3*p - 3*p**2 + 3*p) + 0*p**4 - 3*p**4 + 2*p**4.\nAnswer: 54*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 29108 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: Suppose -15 = 6*n - 9*n. Let l(h) = -h**3 - 6*h**2 + 4*h + 10. Let y be l(-7). Suppose n*d - 5 = -2*v - 3*v, 4*v = 5*d + y. Solve 5*a = -v + 19 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 61 + -54. Which is the smallest value? (a) -2 (b) -1 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sskszskkvhkkzvss. What is prob of sequence zk?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 10, a: 1, v: 4, h: 2}. Give prob of sequence jah.\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 8\/29, 0.5, 9, 2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f - 567*s = -571*s - 12, s - 17 = -3*f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 79 a factor of 730066119?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 57 + -743\/13. Suppose 15 = -17*h + 12*h. Let l be h*(-4)\/12 - -3. What is the third smallest value in 1\/2, l, y?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 - 1010\nAnswer: -1008","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, -23097, 2.6 in ascending order.\nAnswer: -23097, -0.4, 2.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 20 + -13. Let v be u - (-2 + (-4)\/(-1)). Suppose v*p + 26 - 5 = -s, s + 3*p + 11 = 0. What is the units digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 4*v + 2 + 9*v**2 - 8 - v**3 + 3*v. What is the remainder when u(9) is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 - (2 + 33\/7).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/s**2)\/(s*s*s**(-3\/8)*s) assuming s is positive.\nAnswer: s**(-29\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.3, 1\/437, -0.04, 4, 3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -7 * -7023\nAnswer: 49161","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the second derivative of r**5\/20 + 13*r**4\/12 - 7*r**3\/6 - 6*r**2 - 1885*r. Calculate g(-13).\nAnswer: 79","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2849089 to the power of 1\/5, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.04 and 83440119?\nAnswer: 83440119.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1 + 5163?\nAnswer: 5162","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -56\/134457455 and -29\/55?\nAnswer: 134457455","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 13 = 2*j, -6*j + 21 = 4*z - 7*j. Solve 12*y - 28 = z*y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 4*s. Let q(n) = 0*n + n + 5*n - 8*n. Give w(q(u)).\nAnswer: -8*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 - (2\/(-17) + 3403\/(-697))) + 0?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 31*s**3 + 11*s**2 + 3*s + 3. Let i(t) = -11*t**3 - 4*t**2 - t - 1. Let v(p) = -8*i(p) - 3*r(p). Let k = 3 + -4. Determine v(k).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -434888*n**6 - n**5 - 10*n**2 - 2766*n + 3.\nAnswer: -52186560*n**3 - 60*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2 + -4. Let x be (0 + (-7)\/1)*-1. Suppose x = -g + 3. Is a at most as big as g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qvyl when four letters picked without replacement from cvqvlqy.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (190\/15)\/(4\/138). Calculate the greatest common divisor of 19 and w.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vvavh. What is prob of sequence avvv?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5808661 decades in millennia?\nAnswer: 0.005808661","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 5*k + 12 = 0. Suppose 5*n - 31 = -k*b, 6*n - 2*b - 4 = 2*n. Let x = n + 12. Is x <= 15?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 39333147?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -220 - 123 = -49*k. Solve -5 + 19 = k*m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/5 of a centimeter in millimeters?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 28*i**2 + 16*i. Let u(w) = -9*w**2 - 5*w. Suppose -29 + 11 = -9*r. Suppose -5*v - 3*c - 63 + 23 = 0, -r*v - 15 = c. Give v*o(d) - 16*u(d).\nAnswer: 4*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -4685550, 1, -7, 2 in increasing order.\nAnswer: -4685550, -7, -2, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*t + 16 = 85 - 39 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 23 - 21.7. Let z = -1.300017 + c. What is z rounded to 5 decimal places?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*q**2 - 14*q**2 + 14 - 5 + 18*q**2 as z*q + g + v*q**2 and give g.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 188 is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 4, a: 7}. Give prob of sequence ff.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -8127.999983968 + 8128. Round n to 7 dps.\nAnswer: 0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 3*h. Let r(z) be the first derivative of -z**6\/120 - z**3 + 3. Let b(t) be the third derivative of r(t). Calculate b(w(u)).\nAnswer: -27*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 258640?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:44 PM and 7:12 PM?\nAnswer: 148","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2915*m + 259718 = -1617*m - 12202 for m.\nAnswer: -60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 260*y - 263*y + 9 = 0 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3*12\/(-27)*-51 is divided by 23.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0 - (-10 - (3 - 6)). Let p = x + -6. Solve -3*b = p + 14 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 20 = -5*b, 0 = b - 2*d - 1 - 3. Factor 1\/2*s + 1\/4*s**5 + 0 + 1\/4*s**b - 1\/4*s**2 - 3\/4*s**3.\nAnswer: s*(s - 1)**2*(s + 1)*(s + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/11*((-470)\/(-282))\/(5\/9)?\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (25\/100)\/(24\/((-696)\/29)).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1 + -1. Let n = 13 - 11. Let c be ((-8)\/(-10))\/(n\/10). Solve 5*g = -3*f + 4*f + 21, -c*f - 4 = u for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/4, -1, 37, 14, 1\/5, 1.\nAnswer: -1, -1\/4, 1\/5, 1, 14, 37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 81294 is divided by 6250?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 204413 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 727 - 725. Suppose -6*u = j*n - 5*u - 5, 0 = -3*n - 4*u - 5. Solve -3*r + n*v - 2 = 0, 0*r = -4*r - 3*v + 7 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 19*z. Let t(a) be the second derivative of 1\/3*a**3 + 0 + 0*a**2 + 11*a. Determine t(n(f)).\nAnswer: 38*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(833) + 1)*6*-1)**2 + (-2 + -2 + sqrt(833) + 1 + sqrt(833))**2 + 5.\nAnswer: 18060*sqrt(17) + 1084210","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**10*x**7*x**(4\/5)\/x*x**(-1\/30) assuming x is positive.\nAnswer: x**(503\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4 - 5?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 4, e: 7, o: 4, h: 1, m: 2, f: 1}. What is prob of picking 3 e?\nAnswer: 35\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 13\/42007 + -7765456092\/210035. Let x = w - -36721. Let s = x - -252. Which is the second smallest value? (a) 1 (b) -7 (c) -2 (d) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5517 is divided by 5484.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 17112\/775 + -38 + 4\/(-50)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 8 = 12. Calculate the remainder when 7 is divided by j.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 45, 209, 475, 837, 1289, 1825, 2439, 3125?\n\"Answer: -z**3 + 57*z**2 - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-15)\/(-10) + 1\/(-2).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 271 = 267?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 242336, 969349, 2181036, 3877397?\nAnswer: 6058432","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*p + 12*p - 72 + 58 = 33*p - 4*q, -8 = 3*p + 7*q for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/11? (a) -3 (b) 0.01 (c) 1.39\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the second derivative of a**4\/12 + 11*a**3\/3 + a**2 - a + 24. Suppose 2*j + 18 + 31 = -5*z, -z - 1 = 0. Let f be p(j). Solve 4*r - 6 - f = 0 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 46591 - 46590.9904588. Round c to three decimal places.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/20*75\/(-180)*10.\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -10, 65, 198, 395, 662, 1005, 1430?\n\"Answer: k**3 + 23*k**2 - k - 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 501 minutes before 3:58 AM?\nAnswer: 7:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 151\/42 and 9 + (-10 - 356\/(-8)).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 11*p - 11. Calculate b(5).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Add together -30270300204 and -0.7.\nAnswer: -30270300204.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1734945342 to the power of 1\/3, to the nearest integer?\nAnswer: 1202","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -a**2 + 2*a + 2. Give w(5).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3*13\/(-26)*((-104)\/(-708))\/13?\nAnswer: 1\/59","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2230125?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 5, w: 2, i: 4, z: 2}. Give prob of picking 2 w.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.2079618 and 4.\nAnswer: -0.8318472","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/7 - 4\/(-14). Suppose 4*i + n = 20. Let u = 0 + 3. Solve -5*v - 25 = 5*k, i*v + 25 = 7*k - u*k for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*y + 8. Let l = y - -5. What is the units digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -94 != -69?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = o**2 - 7*o - 20. Let h be j(11). Let v(a) = -a**3 + 24*a**2 + 13*a + 29. What are the prime factors of v(h)?\nAnswer: 11, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2901 not equal to 2924?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -4\/5 (b) -1\/6 (c) 1.2 (d) 0 (e) 3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*b + 2*b = 0. Suppose b*i + i = 6. Suppose 4*m = i*m + 1400. Round m to the nearest 1000.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = -4*c - 0*c - 6, 3*k - 11 = -5*c. Suppose -3*u - 3*o = -18, -14 = u - 5*o + 2*o. What is the greatest common divisor of c and u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.4 and 2044.\nAnswer: 2044.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3432.5 + 6285.4. Let v = -2731 + a. What is v rounded to the nearest 10?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40303 to the power of 1\/2, to the nearest integer?\nAnswer: 201","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -4.3138038622 and -2.8?\nAnswer: 1.5138038622","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + 4 + (-4 + -3 + 1 + sqrt(243) + 3 + 2)**2 + -4.\nAnswer: -18*sqrt(3) + 244","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 12*n**2 - 4*n - 4. Let x = -18 - -14. Let m be u(x). Suppose f + 5*s - 37 - 23 = 0, m = 3*f + 3*s. What is the tens digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4.032 + -0.032. Which is the smallest value? (a) 0.4 (b) 10 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g*(((g\/g**22)\/g)\/g)\/g*g\/(g**10*g) assuming g is positive.\nAnswer: g**(-33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2627835, 2627865, 2627895, 2627925, 2627955, 2627985?\nAnswer: 2628015","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = p - x, 5*x + 7 = -5*p + 7*p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve h**4\/3 - 9*h**3 - 11*h**2 + 143*h\/3 - 28 = 0 for h.\nAnswer: -3, 1, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -18840 - -61740. Is 11 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 39435, 6, -82, -4 in increasing order.\nAnswer: -82, -4, 6, 39435","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 3 - 2*a + a**2 + a**2 - 2*a. Suppose 5 = 2*q - 9. Let h = q + -4. Calculate u(h).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 8*d**2. Let u be s(-1). Suppose -u = -2*r - 2*t, 6*r - 5*r - 12 = -5*t. Is 8 a factor of r*-1 - -1 - -18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 190790 is divided by 69.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2 - 1052?\nAnswer: -1050","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 563 + -26?\nAnswer: 539","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -4*s**2 + 14*s - 1. Let i(j) = 2*j**2 + 61*j + 438. Let r be i(-19). Let y(d) = -d**2 + d. What is r*m(z) - 5*y(z)?\nAnswer: z**2 + 9*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + ((-4*sqrt(176)*1)**2 - sqrt(176)) + (sqrt(176) + sqrt(176) + 1 + sqrt(176))**2 + -2)*5.\nAnswer: 100*sqrt(11) + 22010","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 2*q = -49, r = -0*r - 4*q + 13. Calculate the remainder when 48 is divided by r.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 16 and 10576.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -9 - -8. Let s be 1 - c*5\/5. Let r(d) = -d - 16. Let m be r(-16). Solve -k = -2*t, 2*k = -m*t - s*t + 6 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-52 + 23 - -5 - -49) + -108?\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 167213965 and 16815.\nAnswer: 5605","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 111011011010111010 (base 2) to base 8.\nAnswer: 733272","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 12293?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-48)\/(-21) + 2\/(-7). Calculate the remainder when (-4 - 70\/(-20))*(-3 + -57) is divided by ((-1)\/(-2))\/(f\/44).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5 (base 14) to base 9.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 42\/(-1 - 3\/6). Let t be 28\/(-8)*16\/x. Find the third derivative of -c - c**t - 5*c - 5*c**4 + 6*c wrt c.\nAnswer: -120*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 678*k. Let f(o) = 467*o**2 - 16*o. Give f(z(g)).\nAnswer: 214672428*g**2 - 10848*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wkiiikiikik. Give prob of sequence ki.\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 75096 and 100128.\nAnswer: 300384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(50) + 0) + -5*(sqrt(32) + sqrt(2) + 1).\nAnswer: -50*sqrt(2) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 848724*h**6 + 4*h**2 - 150668*h - 1.\nAnswer: 101846880*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -105 - -105. Which is the closest to -1\/4? (a) 6 (b) -0.4 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 5*l + 3*h + 6 = 0, -3*h - 3 = -l. Let i be 3 + (-7 - 2) + l. Let v be 270\/9*i\/6. Which is smaller: v or 0?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -18*t + t**2 - 22*t + 0*t + 8 - 1 + 7*t as r + g*t**2 + h*t and give r.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = v - 0*v - 4. Let s = v + -10. What is the tens digit of ((-6)\/s)\/(2\/30)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000558 to six dps.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) be the third derivative of b**9\/241920 + b**8\/13440 + b**7\/4032 - b**5\/15 + 6*b**2. Let q(k) be the third derivative of z(k). Factor q(d).\nAnswer: d*(d + 1)*(d + 5)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 68 and 416?\nAnswer: 7072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 725448 and 1448?\nAnswer: 725448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d\/((d\/(d\/d**(2\/3)))\/d)*d)**(-3\/22) assuming d is positive.\nAnswer: d**(-5\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 102*s**2 + 1069*s - 27. List the prime factors of n(-17).\nAnswer: 2, 5639","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 248757.9702 rounded to the nearest 10?\nAnswer: 248760","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = v**3 - 2*v - 1. Let o be w(-2). Suppose 7*y = -12*y + 1539. Let p = y + o. What is the remainder when p is divided by 20?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-35 - 105 + 312)*(4*u - 2*u - 3*u) in the form q*u + s and give q.\nAnswer: -172","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(3) + 1 - (-4 + sqrt(192)))**2 + (4*(-4 + -3*sqrt(432) + sqrt(432)))**2.\nAnswer: 2972*sqrt(3) + 28229","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = a. Let l(o) = -o**2 - 7*o. Let d be (-3)\/(17\/(-10) - -2). Let n = -17 - d. Let s be l(n). Calculate z(s).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34959475181 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - 4*n = -315, -2*w + 2*n + 49 = -w. Suppose r - w = 34. Which is smaller: 2 or r?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 1, c: 2, m: 2}. What is prob of picking 1 c, 1 w, and 1 m?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 26.78 - -1?\nAnswer: 27.78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -7*q**2 + 4*q + 9. Let m(s) = 2*s**2 - 3*s. Let v(k) = -3*m(k) - p(k). Give v(-6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -827699*b**3 - 17*b**2 - 79400*b + 93.\nAnswer: -4966194*b - 34","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n = -4*n + 308. Suppose -3*i - 3*r - 94 = -7*i, 0 = 3*i + r - n. What is the remainder when i is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-33320)\/29988)\/(10\/(-4))?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2*-1*10\/20)\/1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -10 - 35387022?\nAnswer: -35387032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(68)\/(1*sqrt(4)) + sqrt(204)\/sqrt(3).\nAnswer: 3*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*x - 1557 = -1539 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in three fifths of a meter?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 370*w - 24618 + 30161 = -109*w - 45710 for w.\nAnswer: -107","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -742*r + 3*h + 31 = 557*r - 1300*r, -4*h = 6*r - 0*r + 88 for r.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 (base 7) in base 8?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w when two letters picked without replacement from {w: 2, z: 6, r: 1, k: 6, v: 3}.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 210824579 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*g = 5*u - 20*g - 4630, 4675 = 5*u - 5*g. List the prime factors of u.\nAnswer: 2, 3, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(3\/4))**(19\/2) assuming w is positive.\nAnswer: w**(57\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 2, y: 2, o: 10, l: 2, n: 3}. What is prob of sequence al?\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -m**4 - 3*m**4 + 2*m**4 + (1 - 8 - 10)*(-4 + 0 + 3)*(3 - 3 - m)*(-2*m**3 + 2*m**3 + 3*m**3) to y*m**4 + i*m + q*m**2 + d + v*m**3 and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from crcanrcncverre. What is prob of sequence cace?\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (2*sqrt(1008)*-1)**2.\nAnswer: 4033","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 53 + 11?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i**(-1\/2))\/i)**(1\/87)*(i\/(i*i*i\/(i*i*i**5*i)))\/i**(-4\/9)*((i\/(i\/(i**(-2)\/i)))**11)**(1\/12) assuming i is positive.\nAnswer: i**(3851\/1044)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 2*n**2 + 27*n + 8. Give j(-4).\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 7.956 to the nearest integer.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 16261 to the nearest integer?\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*w + u + 3*u - 23, 2*w + 3*u = -4. Let t(k) = 7*k**2 + 1. Let j be t(-1). Let s = j - 12. Which is the third smallest value? (a) s (b) 1 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 6, w: 6, e: 3, z: 3}. What is prob of picking 1 e, 1 w, and 1 q?\nAnswer: 9\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 353793, 707603, 1061411, 1415217, 1769021, 2122823?\nAnswer: 2476623","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.04 + -10.04. Put 1\/2, h, 2 in descending order.\nAnswer: 2, 1\/2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1020444*d**3 + 2*d**2 + 1120*d - 27 wrt d.\nAnswer: 6122664","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 120116851 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 37 or 18?\nAnswer: 37","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 65894?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 18533203?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 119991, 119992, 119995, 120000, 120007?\n\"Answer: q**2 - 2*q + 119992","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + -9 + 2 - 0?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.098 not equal to 15\/8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -5894786, -5894785, -5894784?\n\"Answer: c - 5894787","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -v**2 - 4*v - 1. Let h be (17 + -18)*(-6)\/(-2). What is b(h)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 383360 a multiple of 64?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that t**4 - 33*t**3 + 206*t**2 + 240*t = 0.\nAnswer: -1, 0, 10, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -6 + (11 - 19) + 4\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 13944 and 246344?\nAnswer: 739032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve u - b - 2 = 0, 10*b + 7 = u + 8*b for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 1 + 4 - q + 0*q + 7*q. Let b be r(5). Suppose 5*d + b = 165. What is the remainder when 49 is divided by d?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*p - 13*p = 84 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l**2\/11 - 292*l\/11 + 294\/11 = 0.\nAnswer: -147, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w + 0*w = 12*f, -16*f - 4*f + 92 = -6*w + 14*f - 35*f for w.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-60)\/(-45))\/(0 + 7\/(-3))?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -83.3 times -0.4953?\nAnswer: 41.25849","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 520 and 78988?\nAnswer: 789880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6.1 - -1.1. What is the closest to -14\/3 in -0.5, 5, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*sqrt(405))**2*6 + (2*sqrt(405) - sqrt(405))*-4 + 5)*-6.\nAnswer: -131250 + 216*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(30) + sqrt(120)\/sqrt(4)))\/(sqrt(600)*-2) + (sqrt(50) - sqrt(400)\/sqrt(128))\/(sqrt(10) + -4*sqrt(40)) + -3.\nAnswer: -3 - 57*sqrt(5)\/140","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1, -2\/7, -33, -1, -5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (3*-9)\/(6 + -7) is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.8276 times 0.2\nAnswer: -0.16552","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 14421225 and 91?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 6.42 - 93.2589506\nAnswer: -86.8389506","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*w + 0*w - w - 14*w.\nAnswer: 2*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 11, l: 4, p: 4}. What is prob of picking 1 p and 3 o?\nAnswer: 55\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pm when two letters picked without replacement from {p: 3, m: 1, b: 1, v: 4, n: 4, t: 1}?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11 - ((-672)\/(-14))\/(-12)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 39*q**3 + 11*q**4 - 54*q + 3*q**5 + 6*q**2 - 32*q**4 + 3*q**2 + 0*q**4.\nAnswer: 3*q*(q - 3)**2*(q - 2)*(q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 807\/8 in -0.055, 12\/11, 0.1?\nAnswer: 12\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 88 and 66.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eyyieuee. Give prob of picking 2 u and 1 y.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(500) + -3*sqrt(500)*2)\/(-1*sqrt(360) - sqrt(40)\/sqrt(16)).\nAnswer: 50*sqrt(2)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -51*w + 3. Let v(n) = -n**3 + 6*n**2 + n - 7. Let d be v(6). Let r be b(d). Calculate the greatest common divisor of r and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -26893, -107465, -241705, -429601, -671141?\nAnswer: -966313","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -98*s**2 - 41*s - 12. Calculate k(-2).\nAnswer: -322","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = 5*b - 59, 47 = 2*b + 3*b - l. Let c be 12\/b*(4 - -1). Find the third derivative of 0*i**6 - i**c + 6*i**2 - 4*i**2 wrt i.\nAnswer: -120*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -9*s**2. Let t be (-1*15)\/(-3) - 1. Let b(i) = 2*i**2 - 4 + 0 + t. Give b(x(g)).\nAnswer: 162*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 5*z = 3. Let h be z + (-2)\/((-4)\/6). Is 20\/(6\/(6\/h)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence whw when three letters picked without replacement from {h: 2, w: 3}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 6*m + 11. Let o = 11 + -9. Let w(x) = x + 2. Determine o*t(c) - 11*w(c).\nAnswer: c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -j**3 - 42*j**2 - 118*j - 40. Let f be w(-39). Is f\/(-1)*(2495 - -26) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2 + 0. Suppose -6 = -x*j + 14. Let g = 5 - j. Let h(t) = -t - 6. Determine h(g).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 13290 and 21?\nAnswer: 93030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6407, -10378, -14349, -18320, -22291, -26262?\nAnswer: -30233","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 80465618.\nAnswer: 2, 233, 172673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -701045 (base 9) to base 11\nAnswer: -263147","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -y**2 - 356*y. Let w(j) = j. Give x(w(u)).\nAnswer: -u**2 - 356*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence offo when four letters picked without replacement from dozfddxxdxzofzfoxzd.\nAnswer: 1\/2584","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 2*j**2. Let y(i) = 72*i + 7. Let k(f) = -37*f - 4. Let r(u) = 10*k(u) + 6*y(u). Calculate r(c(n)).\nAnswer: 124*n**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = -b + 17, 2*q + 3*q = 5*b + 50. Suppose 2*i = -2*d - 0*i - 30, 2*d = -4*i - 36. Is d\/(-9)*q\/2 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 l when two letters picked without replacement from ttylttyty?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10 + -1 - 0) + (-3 + -36 - -19).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15619.\nAnswer: 15619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3708 and 3816?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3.49, -6, -3\/7, 0, -2\/17 in descending order.\nAnswer: 0, -2\/17, -3\/7, -3.49, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(24)\/sqrt(3))\/sqrt(4) - 6*5*sqrt(2).\nAnswer: -29*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y\/y**(-2\/15))**(-44)\/((y**(-6\/19)*y)\/y**(10\/9)))**(-23) assuming y is positive.\nAnswer: y**(1837493\/855)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -13544*f + 2. Let n(o) = o**2. Calculate i(n(x)).\nAnswer: -13544*x**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 238321 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2662 = 127*i + 150*i - 723 for i.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 816 is divided by 25.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -9118 - -9145. Solve a*x + 147 = 6*x for x.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -255 + 361. Let j = -104 + q. Which is the third smallest value? (a) 0.4 (b) -3 (c) j (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3011881 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the third derivative of -l**4\/12 - l**3 + l**2. Let r(w) be the third derivative of w**4\/24 + 5*w**3\/6 + 94359*w**2. Determine 4*k(m) + 5*r(m).\nAnswer: -3*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1090 a factor of 15954993?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 111012212 + -2001022?\nAnswer: 102011120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 1 = 4*h + 6, -4*k + h + 16 = 0. Solve 0 = k*t + 6, -4*u + 7 = 2*t - 5 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p = -2*r - 18, r + 486*p - 490*p = -15 for r.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 60 in 1\/6, 19389, -1\/3, 0?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 405 divide 1578606?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2.7 - 2.3. Let i be 4\/(-12) - (-40)\/12. Suppose i*v + 2*v = 5. Sort v, u, 2\/9 in ascending order.\nAnswer: 2\/9, u, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 15? (a) 4 (b) -4\/3 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = -4*z - 4, 5*z - 3*v - 1 + 2 = 0. Suppose s + z = 5*m, 5*s + 49 - 125 = -2*m. Calculate the least common multiple of s and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*q + 71*a = 72*a, 0 = 4*a - 136 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -14 or -15?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (18\/10)\/((-114)\/380).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 415384?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + sqrt(19) + 1 + 4 + (3 + (sqrt(1216) + -1 - sqrt(1216)))**2.\nAnswer: sqrt(19) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -35, -3, 1, -7, 5, 17, -5 in decreasing order.\nAnswer: 17, 5, 1, -3, -5, -7, -35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6 - 96*b**4 - 2*b**2 + 186*b**4 + b**3 - 92*b**4 to the form m*b**3 + v*b**2 + c*b + i + z*b**4 and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -334.1 + 334.8. Sort d, -6, 6 in descending order.\nAnswer: 6, d, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) be the first derivative of 11*c**3\/3 + 5*c**2\/2 + 3*c + 3125. What is x(-1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 3 h when four letters picked without replacement from {l: 3, h: 3, s: 5}?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3141)\/3 + 1\/1. Let j = -312 - c. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:04 AM and 12:06 PM?\nAnswer: 662","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x**(3\/11))\/x)**3 assuming x is positive.\nAnswer: x**(9\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1484475 is divided by 5458.\nAnswer: 5357","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -2*n. Let p be 120\/(-150)*(-20)\/24 + (-33)\/9. Let k(s) be the third derivative of -s**4\/12 - 2*s**2. What is p*k(j) + 4*w(j)?\nAnswer: -2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**5*(n**15*n*n)\/n assuming n is positive.\nAnswer: n**21","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 11735827 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:57 AM and 8:54 AM?\nAnswer: 237","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.5 (b) 5 (c) 0.137 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put together -156.2147206 and -654.8.\nAnswer: -811.0147206","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 32ba - 157?\nAnswer: 3163","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that -22*h**4 - 1270*h**3 - 14120*h**2 + 92920*h + 105792 = 0.\nAnswer: -38, -24, -1, 58\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 3*r = u - 9, 0 = 2*u + r + 13. Let s(j) = -3*j - 1. Calculate the remainder when s(u) is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5.91 + -9.91. Let b = 71\/6 - 12. Sort -3, y, b, -2 in descending order.\nAnswer: b, -2, -3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 34\/1624761 and 33\/7401689?\nAnswer: 66615201","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in five eighths of a litre?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4702*j**2*l**2 - 40829981*j**2*q**2 - 2*j*l + 4*l**2*q**2 - 17*l**2*q + 4*l*q + 6 wrt q.\nAnswer: -81659962*j**2 + 8*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1)\/(-2*(-2)\/(-12)). Calculate the remainder when 40 is divided by (-2)\/(-6) - (-41)\/c.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1422.5 - -1423. Put 1, m, 0.01 in decreasing order.\nAnswer: 1, m, 0.01","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pprnvrcnnvpvcnvcnpp. Give prob of sequence ccpn.\nAnswer: 25\/15504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 4*k**2 - 3*k - 8. Determine a(-2).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2290?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 29 (b) 4 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 25 + -21. Let o be (-2)\/(-16)*s*6. Suppose 3*l = 2*n + n + o, -5*l = -3*n - 9. Solve 2*x + 4*h = x, -2*x = -l*h - 11 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5\/(-30))\/(48657\/(-3972)).\nAnswer: 2\/147","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 13000543?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 104 - 62. Suppose -l*h + 38*h = 0. Solve -5*q - 2 = 4*m + 3, -m - q = h for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -205*k**2 + 357*k**2 - 262*k**2.\nAnswer: -110*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -111.231*2\nAnswer: -222.462","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 62*k**2 + 7*k + 23. Let j be v(-4). Suppose w + i - j = 0, -2*i = 4*w + 676 - 4628. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1649 and 147.\nAnswer: -1502","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is i in 2*i**5\/7 - 18*i**3\/7 - 8*i**2\/7 + 24*i\/7 = 0?\nAnswer: -2, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -14*l**3 + 12*l**2 + 7*l + 227. Let i(c) = 40*c**3 - 34*c**2 - 20*c - 681. Give -17*h(s) - 6*i(s).\nAnswer: -2*s**3 + s + 227","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 times -102710?\nAnswer: -1951490","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.8058652l?\nAnswer: 805.8652","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(1*4\/(-24))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/f**(-8)*f*f\/f**(-2\/3))**5\/(f**(5\/3)*f**10)**(-30) assuming f is positive.\nAnswer: f**(1225\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -2, -2054, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 446 minutes after 9:05 PM?\nAnswer: 4:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 14966 plus 0.03074143?\nAnswer: 14966.03074143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1*5\/(-20))\/(-5 + 6). Sort 2, -3, n in decreasing order.\nAnswer: 2, n, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-5)\/20 + 578\/8. Suppose 318*k - 8 = 317*k. Calculate the greatest common factor of k and l.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7622, 7326, 6524, 4964, 2394, -1438?\nAnswer: -6784","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 7 and 0.3228651.\nAnswer: 2.2600557","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 f when two letters picked without replacement from yfyryyrway.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -3*m**2 + 45*m - 174. Let w be s(7). Let g(n) = -n. Let p(z) = -4*z**2 + 8*z - 2. Determine w*g(t) - p(t).\nAnswer: 4*t**2 - 2*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 731850908*s**3 - 82*s**2 + 2311559.\nAnswer: 4391105448","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 3138731 divided by 863\nAnswer: 3637","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (sqrt(847) - 4*sqrt(847) - sqrt(7) - -4*(sqrt(7) + sqrt(252)))**2 + -1)*2.\nAnswer: 500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3397 - 0?\nAnswer: 3397","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 624*d - 305*d + 769*d**3 - 316*d as i*d**3 + b*d + f*d**2 + l and give i.\nAnswer: 769","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 3*l**3 + 2*l**2 - l - 2. Determine d(-2).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -369 - -242. Let b = 73 - w. Calculate the highest common factor of b and 40.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-18)\/(-2))\/(-45))\/((-21)\/70).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -125*i - 3 = -122*i. Let x = -49 + 51. Suppose 5*g - x*g = a + 4, 3*a = -3. Is g >= i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2924862080 and 896.\nAnswer: 896","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 106 - 106. Suppose i - 2*p - 12 = o, -i - 5*p = i + 21. Suppose 12 + 5 = -q + 4*m, q - i*m = -7. Do 1.7 and q have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 116 = 3*c + 5*b, 0 = 2*c - b - 3*b - 92. Is 18 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 7 = 4*c, c + 0*c = -2. List the prime factors of (j\/(-1) - 9)\/(-1).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s = -4*g + 5*s + 27, 3*g + s = 6. Let p = -4 - -9. Suppose p*d = g*d + 130. What is the highest common divisor of 13 and d?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16882 is divided by 407?\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 6*12\/16*2\/3*-1. Which is the closest to s? (a) 1\/2 (b) 0 (c) 40 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -727 - -26.6386?\nAnswer: -700.3614","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q**3 + 2*q**2 - q + 3. Let b be v(-3). Let u be -4 + (-10 - -5)*1*b. Differentiate u - 3*s**3 - 2*s**3 + 15 - 11*s**3 wrt s.\nAnswer: -48*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 19, 0, 2\/9, -2\/79, 1\/4, 3 in ascending order.\nAnswer: -2\/79, 0, 2\/9, 1\/4, 1, 3, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 - 5 - (8 - 1).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 4*j - 4654 = 3288, 2*k - 7963 = -3*j. What are the prime factors of k?\nAnswer: 41, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 40*t + 1. Let d(i) = 79*i + 2. Give 4*d(s) - 9*n(s).\nAnswer: -44*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 3997 to the power of 1\/2, to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 761112110?\nAnswer: 2, 5, 11, 41, 168761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -272*i**3 - 41*i**2 wrt i.\nAnswer: -1632","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 13.9 + -15. Let m = -100.1 - -100. Let p = m - l. Sort 0, p, -1 in ascending order.\nAnswer: -1, 0, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6615\/2 - -3281. Find the common denominator of 18\/(-80)*232\/(-6) and h.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 3*s = -5*l + 5, -10 = 2*s. Let p be (2\/l)\/((-12)\/(-18)). Which is smaller: p or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*r**3 + 5*r**3 + 232*r - 502*r + 270*r.\nAnswer: -r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/25*(-55)\/22*16\/24.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9468389 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = s**2 - 6*s + 1. Let y be n(6). Let w = 10 + y. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -73267, -73275, -73283, -73291, -73299?\nAnswer: -73307","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5 in 1.5, -1\/14, -1\/2, 14, 1?\nAnswer: 1.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 15.7 + -15. Let d = -1 + r. Let x = -0.2202 - -0.2702. Sort 1\/8, x, d in decreasing order.\nAnswer: 1\/8, x, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -7*(-12 + 3 + 4). Suppose i + 4*l = 47, -26 = -3*i + 4*l + r. Suppose -4*k + 37 + i = 0. What is the remainder when 127 is divided by k?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = 9, 0 = -8*l + 3*l + 5*h + 160. Calculate the highest common divisor of l and 29.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-88)\/(-5) - 8\/(-20). Let h be 2 - (-2 - -5) - -11. Factor -12*j**2 - h*j**3 + 4 + 14*j**2 - t*j + 22*j**2.\nAnswer: -2*(j - 1)**2*(5*j - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -39 - -116. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -67182*r**2 + 134357*r**2 - 328 - 67177*r**2 + 3*r**2 - r**2 - r**2 + (-4*r + 3*r + 3*r)*(-2*r + 2*r - 2*r) + r - r + r**2 + 3 - 3 + r**2.\nAnswer: -3*r**2 - 328","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -23 + (-29 - -49) + 43\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -3, 0.4, -5 in increasing order.\nAnswer: -5, -3, 0, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 2 = -106. What is the tens digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 3 x when four letters picked without replacement from xmmxmfcfxffxvf?\nAnswer: 12\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -t**2 - 8*t + 5. Let y be n(-7). Let g = 34 - y. Is g a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25994 + 8?\nAnswer: 26002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y = -3*o + 3*y + 9, 5*o - 13 = 4*y. Find the third derivative of 5*u**3 + 5*u**2 + 3 - o - 2 wrt u.\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 70367*s + 1 + 6017*s**2 - 70367*s to p*s + n + f*s**2 and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in seventeen sevenths of a week?\nAnswer: 408","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) be the second derivative of o**2\/2 + 52*o + 11. Let j(s) = s + 1. Give j(q) - 3*k(q).\nAnswer: q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 14, 931, 0, -7, -2, 4 in descending order.\nAnswer: 931, 14, 4, 0, -2, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 0, -4, -2, -5, 28081 in decreasing order.\nAnswer: 28081, 1, 0, -2, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - h)*(-5 + 5 + 2*h**2) + (-1 + 2*h - 4 + 1)*(0*h**2 + 2*h**2 - 3*h**2).\nAnswer: -4*h**3 + 4*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((p*p**29\/p*p*p)\/p)\/p)\/p**(4\/7))\/((p*p\/(p\/p**(-7))*p)\/(((p**(-1)*p)\/p)\/p)))**(-23) assuming p is positive.\nAnswer: p**(-5060\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(196) - sqrt(196)*1*2)\/(2*(sqrt(4) - sqrt(100))))\/(-6*sqrt(7)*-3 - (sqrt(77)*-2 - sqrt(77))\/sqrt(11)).\nAnswer: sqrt(7)\/168","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(2450) + -3*sqrt(200) + sqrt(200))\/(-6*1*sqrt(160) + 4*1*sqrt(160)))**2.\nAnswer: 125\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -21091438*g**2*r + 2046*g*r - 2*g + 5*r - 50 wrt g?\nAnswer: -42182876*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q**5\/2 - 424*q**4 + 95119*q**3 - 2173382*q**2 - 9267639*q\/2 - 2364894 = 0. What is q?\nAnswer: -1, 28, 411","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 37 divided by -1335?\nAnswer: -37\/1335","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.5 * 8521885.\nAnswer: 12782827.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1142*b = 1136*b + 24. Let y(j) be the second derivative of 7\/12*j**3 - 1\/60*j**6 + 1\/8*j**5 + 0 - 3\/8*j**b + 6*j - 1\/2*j**2. Solve y(o) = 0 for o.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 9, t: 2, m: 2}. Give prob of picking 3 o.\nAnswer: 42\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4.064 + 1.064. Which is the nearest to 0.057? (a) k (b) -5 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 6552?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-16)\/(-10))\/(1\/5). Suppose 0 = 2*d + 3*p + 84, -42 = -d + 2*d - 2*p. Let m = d + 44. Solve f = -3*n + m for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that -3*a**5\/7 - 6*a**4\/7 + 39*a**3\/7 + 6*a**2 - 72*a\/7 = 0.\nAnswer: -4, -2, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -8*f**2 - 29*f - 154. Let q(t) = -2*t**2 - 6*t. What is n(v) - 5*q(v)?\nAnswer: 2*v**2 + v - 154","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -1\/6 (b) 1\/11 (c) 0.04 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + b + 35 = 0, -o - 10*b - 17 = -15*b. Solve 0 = -o*x - 9*x + 51 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = v**3 - 2*v**2 - 8*v - 2. Let p = 10 - 6. Let r be n(p). Sort r, 2, -10 in decreasing order.\nAnswer: 2, r, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 629817 rounded to the nearest 1000?\nAnswer: 630000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.02 and -30.6?\nAnswer: 0.612","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w - 4*v = 4, 3*w + 10*v - 12*v = 20 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a**(2\/3))**(11\/4)\/(a*a\/(a**(1\/15)\/a)*a*a*a**(-1\/4)))**(2\/99))**(-8\/9) assuming a is positive.\nAnswer: a**(76\/1485)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 25*b - 15*b. Solve -3*k + b*k - 9 = 0 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 841 to the power of 1\/3, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 0.3, 2.1, -0.2, 9?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1 + -1 + 8682*61. Suppose l + 2 = 0, 4*l - g - 292365 = -3*z. Suppose 2*x + 3*n = z, 5*x + n - 533147 = 151850. Round x to the nearest 10000.\nAnswer: 140000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 2\/7, -0.6, -129, 1 in decreasing order.\nAnswer: 1, 2\/7, 0, -0.6, -129","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 2*m + 3 = -m, 5*m + 7 = w. Suppose 6*l - 5*l = 1. Is (-22)\/(-6) - l\/w a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1601107.9 to the nearest 1000.\nAnswer: 1601000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 42187*h**2 + 42198*h**2 + 42192*h**2 - 168780*h**2 + 42205*h**2.\nAnswer: 2*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/(g*g\/g**(2\/5)*g))**(-47)*g**(-7)\/(g**(2\/23)*g))**22 assuming g is positive.\nAnswer: g**(169796\/115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 29b03 (base 13) in base 15?\nAnswer: 18507","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 870 a factor of 38106749?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -0.991 * 0.2\nAnswer: -0.1982","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.611937 to one decimal place.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 209 a factor of 37316?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -0.1 (b) -0.02 (c) 9\/10 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000009 to seven dps.\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 479586939 and 30654?\nAnswer: 5109","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.06 in -2\/7, 5, -0.3, -2.3?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = 4*o - 16. Suppose 4*x - 2*k = -0*x + 12, -5*x - o*k = -15. Solve 0 = -3*f + 15, 0 = -3*p - 7*f + x*f + 14 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-12)\/12)\/(2*3\/42)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(425))**2*4.\nAnswer: -40*sqrt(17) + 1704","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.049? (a) 0.5 (b) 483 (c) 1.03 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*t - 4*t - 8. What is the first derivative of 2*d - 9*d + d + t wrt d?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 14*a**4*q**2 + 3*a**4 - 126*a**3*q**2 + 207*a**2*q**2 - 8*a**2 + 2*a*q - 8*q**2 - 1 wrt a.\nAnswer: 336*a*q**2 + 72*a - 756*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in three fifths of a microgram?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 - 35 = -4*s. Suppose 0*l + 2*l - s = 0. What is the units digit of l\/(-8)*(-4 - -2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -215 + 273. What are the prime factors of v?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = 3*r - 2*q, -192*r - 2*q + 8 = -187*r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1 (b) -10\/9 (c) -8 (d) 1\/5 (e) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -376489540 divided by -10756844.\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1495.6 - 1495.5. Which is smaller: g or 0.553?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -b**2 - b. Let i be (-1152)\/540 - -2*(-1)\/(-15). Let n(a) = -11*a**3 + 3*a**2 + 3*a. Determine i*n(t) - 6*x(t).\nAnswer: 22*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -32, 0.5, -0.2, -3\/2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1 + 552?\nAnswer: 551","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 greater than -107187360?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 432457 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 683a60 (base 12) to base 3\nAnswer: 10010121202000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48*k - 59*k = -7766. Let q = -691 + k. Suppose 5*x - 69 = -19. What is the remainder when q is divided by x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = -3*r - 6, -4*n + 14 = 4*r - 2. Which is the smallest value? (a) 0 (b) 1\/5 (c) 2\/11 (d) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*k + k**4 + 11 - 27 - k**3 + 14 to the form v*k**4 + a*k**2 + w*k + x + r*k**3 and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*k**2 - 13315184195*k + 13315184195*k.\nAnswer: 6*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t - 5*t + 10 = 0. Suppose -t*z = -7*z + 35. Let f be 2\/14*(z + -5). Do f and 0 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -4575*y + 17597. What is b(4)?\nAnswer: -703","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ck when two letters picked without replacement from kchckck.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3\/2, 1\/38, -0.1444805?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 - 2 = 4*f. Let q be (4\/2)\/((-2)\/9). Let z = f + q. Let u(a) = -a**2 - 3*a + 5. What is u(z)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 30019 + -29742. Calculate the remainder when 277 is divided by f.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 12968?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 726 and 13310?\nAnswer: 242","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.775 in 6, -0.04, 2, 4?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 359 minutes after 4:13 AM?\nAnswer: 10:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -377.132 - -8074.\nAnswer: 7696.868","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -157 - -157.01396. What is v rounded to 3 decimal places?\nAnswer: 0.014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -184 - 32 + 467*p + 193*p - 21*p**3 + 342*p**2.\nAnswer: -3*(p - 18)*(p + 2)*(7*p - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 2*s**2 + 21*s + 1. Let r be w(-13). Let h = -60 + r. Calculate the smallest common multiple of h and 30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d, 1 t, and 1 h when three letters picked without replacement from {t: 2, h: 2, n: 6, d: 3}.\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 2*r = 12. Factor 12*y - 59*y**2 - 9*y**3 + 59*y**2 - r*y**4.\nAnswer: -3*y*(y - 1)*(y + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/4 - (2 + 18\/(-8))?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2815880380?\nAnswer: 2, 5, 140794019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + 0 - (9 - (14 - 2)) - 17?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/(-2))\/(5*(-7)\/(-28))?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/(8\/(-4)*2\/4). Sort p, 73, 4, 3 in ascending order.\nAnswer: p, 3, 4, 73","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 32 + -11. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 268.5 rounded to the nearest one hundred?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -14 - -13. Let r = -523\/19530 + -1\/558. Is r <= y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -14, -37, -68, -107?\nAnswer: -154","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -x**2 - 7*x + 3. Let f be i(-3). What is the greatest common factor of f and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 56862*a**3 + 84374?\nAnswer: 170586*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -20*y**2 + 9*y - 1. Let d(t) = 100*t**2 - 42*t + 4. Give 3*d(u) + 14*f(u).\nAnswer: 20*u**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 36 = 22. Suppose 2*d - 3*z - b = 0, 3*d + 0*z - 42 = 4*z. Let y = 32 + -3. Calculate the remainder when y is divided by d.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (92 - 5 + 49)*((-2*m + 1 - 1)*(-1 - 1 + 4) - 2*m + m - m + (-m + 4 - 4)*(-5 + 0 + 4)) to x*m + o and give x.\nAnswer: -680","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 12, l: 2, b: 5}. What is prob of picking 1 l and 1 b?\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:46 PM and 7:22 AM?\nAnswer: 456","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 19851661 a multiple of 509?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00001081787 rounded to 6 decimal places?\nAnswer: -0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/7*16\/(-48).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by -6402.\nAnswer: 1\/6402","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -412.22 from -0.177.\nAnswer: 412.043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 260 minutes before 12:08 PM?\nAnswer: 7:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 61350222?\nAnswer: 2, 3, 73, 140069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (40\/50)\/(4\/10). Solve 0 = f*i + i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -3, 55, 7, 13, -6 in ascending order.\nAnswer: -6, -3, 1, 7, 13, 55","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q = -5*a + 4090 - 4030, 48 = -138*q + 4*a for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a - 2*k - 5 = 0, -5*a = -7*a + 3*k - 10 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2424136 = 12757*z + 599885 for z.\nAnswer: 143","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) be the first derivative of b**3\/3 + 3*b + 4. What is the units digit of x(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 2*n. Let j(r) = -2*r - 34229 + 34314 + 4*r. Determine k(j(w)).\nAnswer: 4*w + 170","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 302247245.\nAnswer: 5, 149, 405701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -269399*d**2 + 538792*d**2 - 269244*d**2.\nAnswer: 149*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -2*m**3 - 4*m**2 - 5*m - 4. Let s be a(-2). Let t(p) = s + 28*p - 50*p + 23*p. Calculate t(-6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 114.37125 to the nearest 10.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.001532 to 4 decimal places.\nAnswer: 0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/9 (b) 363 (c) 0.3 (d) 1\/8 (e) -0.5 (f) -13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -l**2 - l. Let x(g) = -6*g**2 - 4*g - 1. Let b = -15110 - -15115. Calculate b*o(j) - x(j).\nAnswer: j**2 - j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -2*p + 2. Let s = 4 + -2. Let z be x(s). List the prime factors of (-40)\/(-18) + z\/9.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = -2*y + 1443, 0*t - t - y + 482 = 0. Let l = t - -882. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 116155, 116157, 116161, 116167, 116175, 116185, 116197?\n\"Answer: g**2 - g + 116155","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Add -20 and -1920020.1.\nAnswer: -1920040.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 3, v: 2, s: 7, f: 5}. What is prob of picking 2 f and 1 s?\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/n**(2\/15)*n**(-2\/15))\/((n\/(n\/(n*n*n**3)))\/(n*n*((n\/n**(1\/4))\/n)\/n)))**46 assuming n is positive.\nAnswer: n**(-4853\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1700513 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -s - 248485*a + 248481*a - 21, 0 = -3*s - 4*a - 23 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 8) to base 11\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7*h**3*k + h**3*r**2 + h**3*r + 2*h**2*k*r - 6*h**2*r + k*r**4 + 12*r**5 wrt r?\nAnswer: 2*h**3 + 12*k*r**2 + 240*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1699 is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-46 - -39) + (-15 - 14) - 80?\nAnswer: -116","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 164*t + 6. What is d(-1)?\nAnswer: -158","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3 or -1\/72334?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-30)\/(-4)*(-400)\/(-150). Let m be ((-5)\/(-10))\/((-30)\/c). What is the closest to 14 in 0.4, m, -2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2430?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.91 + 0.41. Let z = -48.53 - -46.53. What is the nearest to z in m, -10, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -15623745 >= -15623746?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(14\/11)\/(p\/(p*(p*(p*p\/(p*((p*p*p**(3\/11))\/p)\/p*p)*p)\/p)\/p)))**8)**(7\/4) assuming p is positive.\nAnswer: p**14","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 769 - 769.1835. Round w to 2 dps.\nAnswer: -0.18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -5*r. Let f(i) = -2*i. Calculate f(c(o)).\nAnswer: 10*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v + 1075 = 47*u - 1095, -u + 20*v + 126 = 0 for u.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 190 by -85.\nAnswer: -38\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 42 and 1560?\nAnswer: 10920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 171? (a) 4 (b) 5 (c) 0.3 (d) 10\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 42 divide 568386?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -469*k**2*x**2*y**3 + k**2*x**2 + 36*k**2*x + 38*k*y**3 - 61*x**2*y**2 + 3*y**3 wrt k.\nAnswer: -938*x**2*y**3 + 2*x**2 + 72*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 3*z**2 - 17 - 2 - 5*z - 2*z**2. Let w be s(8). Let c(h) = h**2 + h + 2. Let b be c(0). Solve -2*m + 0 - b = -t, -w*t + m + 19 = 0 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -459 - -458. Let z be 1 - 4 - h - (-3 - -1). Let q = -95123\/58 - -1640. Is z greater than or equal to q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = -17 + 9. Factor 0 - 3\/2*w + 3\/4*w**x.\nAnswer: 3*w*(w - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, -1514, -3.\nAnswer: -1514, -3, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*g + 55 = 67. Let i(r) = r**2 + 4*r - 2. Let o be i(-5). Suppose -z = o*d - d - 83, -g*z = 3*d - 165. What are the prime factors of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -5*o**2. Let s(h) = -h**2. What is s(j(y))?\nAnswer: -25*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1882655251 to the power of 1\/3, to the nearest integer?\nAnswer: 1235","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4 + -5. Let r be w\/(3 + (-1 - 1)). What is the units digit of ((-8)\/(r - 1))\/2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2234300 (base 5) to base 14\nAnswer: -107b8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 3*f**2 - 7*f - 3. Let w(j) = -j**2 + 10*j - 13. Let s be w(9). Let a(h) = 0 - h**2 + 0*h - 6*h + 3*h**2 - 2. Give s*k(d) + 5*a(d).\nAnswer: -2*d**2 - 2*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 59*i**3 - 6*i**2 - 6*i + 6. Let f(s) = -3185*s**3 + 325*s**2 + 325*s - 325. Give 6*f(k) + 325*r(k).\nAnswer: 65*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47*o = 4*y - 167, -3*y - 115 = 5*o - 89 for y.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -24286 divided by 6.\nAnswer: -12143\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -18129504 divided by 4?\nAnswer: -4532376","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -282*v = -227*v - 10450. Is v a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-8)\/10*10\/(-4). Let s be x\/2*(-1 + 1). Suppose 2*g + 0*g - 12 = s. Solve f + 10 = g*f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 101 = -18*b + 101. Suppose -11*w + 181 - 49 = b. What is the highest common factor of 3 and w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -57\/13280 and 47\/2036405.\nAnswer: 65164960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3 (b) -3\/7 (c) 9\/104\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 3587*t. Let z(v) = -12*v. What is z(l(s))?\nAnswer: -43044*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -1144 (base 8) in base 5?\nAnswer: -4422","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1160 divided by -1160.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -124432433 (base 5) to base 12.\nAnswer: -26121a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3242319853 and 367.\nAnswer: 367","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -2.312 less than or equal to 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 140 = -14*h + 182. Suppose y = -h*y + 9668. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -4, 5, 4\/3, -101, 3, 0, -45?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -11, -18, -25, -32, -39?\n\"Answer: -7*i - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 714948979 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iw when two letters picked without replacement from gigggedigdiigviigwgi?\nAnswer: 7\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 384*k + 409*k + 32*k - 1625*k.\nAnswer: -800*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7213 = -l + 7214 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(1*sqrt(112) + sqrt(112) + -5*sqrt(28)).\nAnswer: -2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 11596986?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.01, -0.2, 1\/5, -1\/4, -10, 0?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -302 (base 12) in base 5?\nAnswer: -3214","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 710556 is divided by 160.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 352231248?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 13 + w**2 - 6*w + 8*w + 9*w + 0*w**2. Let h be l(-9). Let r = -28.6 - -28.5. Which is the closest to r? (a) 3 (b) -0.1 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = -7*c + 48. Suppose -f - 12 = -4*f - 4*j, f + 3*j - 4 = 0. Suppose f*o = 6*o - c. What is the units digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is a in 12*a**4 - 705*a**3 + 2463*a**2 + 660*a = 0?\nAnswer: -1\/4, 0, 4, 55","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 4*k**3 + 46*k**2 + 22*k + 4. Let m be j(-11). Let l = 947 + -558. Let r = l + -1543\/4. Which is greater: m or r?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1201 + 1201. Let k(q) be the second derivative of 0 + 1\/78*q**4 + 0*q**3 + 8*q + c*q**2. Find d such that k(d) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -51*o + 109 - 4*o**2 - 41 + o**2 + 157 + 78 wrt o.\nAnswer: -6*o - 51","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -4*x + 6. Suppose 2*o = 2*b - 6, 3*b = -3*o - 0 - x. Solve 2*q + b = 5*q - d, 0 = d + 1 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -j**3 - 10*j**2 + 10*j - 8. Let u be o(-11). Let i = 13 - u. Which is smaller: i or 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -470, -373, 16, 703, 1694, 2995?\nAnswer: 4612","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-90)\/(-50))\/(-6 - (-348)\/60)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 7*k + 23. Let z be m(6). Let d = -24 + z. Let w = d - 30. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 20 + 15 = 4*g, -4*g + 4*a = 0. Let q(p) = p**3 - 4*p**2 - 9*p + 24. Give q(g).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*y**3\/4 - 2385*y**2\/2 + 472824*y + 950424.\nAnswer: 3*(y - 796)**2*(y + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) be the first derivative of p**2\/2 - 3*p + 2. Let y be g(0). Let d(k) = 3*k + 1. Let h(r) = 10*r + 3. Let z(l) = -21*d(l) + 6*h(l). Give z(y).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 43881973.\nAnswer: 43, 47, 21713","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2090 and 4730.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/(x**(-10)*x))\/x*x*x*x)**4\/(x**(-40))**40 assuming x is positive.\nAnswer: x**1648","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -3*y - 98. Let i(w) = w + 33. Let p(n) = 7*i(n) + 2*l(n). Let r be p(0). Round r to the nearest ten.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-24)\/(-20)*(-10)\/(-3). Suppose -9 = t - h*t. Suppose 2*z + t*p - 11 = 0, 3*z - 3*p - 32 = 7. What is the units digit of z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 < -54\/9131411?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 683.3 to the nearest 100.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 397 by 45.\nAnswer: 397\/45","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 72\/17*b + 122\/17*b**3 + 0 + 168\/17*b**2 + 28\/17*b**4 + 2\/17*b**5.\nAnswer: 2*b*(b + 1)**2*(b + 6)**2\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q\/q**(-2)*q*q**(5\/7)*((q\/q**(-6))\/q)**(-28) assuming q is positive.\nAnswer: q**(-1143\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -26*n. Let p(r) be the second derivative of r**3\/6 + 12*r. Calculate p(x(k)).\nAnswer: -26*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 341 is divided by 29.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -17157337, -17157344, -17157351, -17157358, -17157365?\nAnswer: -17157372","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 8\/(-2) + -1*(-1)\/(-1). What is the smallest value in 0.5, -0.3, k, -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 29063*q**5 - 194*q**3 + 1787*q**2 - 4792*q - 1 wrt q.\nAnswer: 1743780*q**2 - 1164","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 10559 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 1 = -u - 7, -2*u = -2*v - 34. Let l be (-3)\/(-3)*u\/4. Solve 5*s + 22 = -2*f + l*f, 2 = -5*f - 3*s for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 61 divided by -26\nAnswer: -61\/26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**5 - 31927*f**4 + 223449*f**3 - 287253*f**2 - 861894*f + 1723680.\nAnswer: (f - 31920)*(f - 3)**3*(f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 56 - 52. Let f be 1\/1 + 48 + 0. Suppose -31 - f = -g*y. Calculate the least common multiple of 10 and y.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.013, 1\/142, 12, 2 in decreasing order.\nAnswer: 12, 2, 0.013, 1\/142","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v = -3*b + 5*b - 9, -13*v + 2*b + 11*b - 15 = -18*v + 9*b for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 568?\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 165073367.\nAnswer: 71, 73, 31849","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1*4\/5)\/(1078\/385)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 413.0375 - 413. Round u to two dps.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -4*v - 6. Let l be (-22)\/4 - (-48)\/96. What is b(l)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 4, -9, -32, -71, -132?\n\"Answer: -t**3 + t**2 - 9*t + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 9 - 23?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-10)\/(n**(-2\/9)*n))\/((n**(-10)\/n)\/n**(3\/5)))**(-10\/7) assuming n is positive.\nAnswer: n**(-74\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 38 + 42 = 0. Suppose -1 = v - n. What is the greatest common factor of v and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.517 to two decimal places.\nAnswer: -0.52","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1494 <= 1379?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 3*k - 6. Let y be a(-5). Let d be (4\/(-10))\/((-1)\/85). Let w = y + d. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.2 and -13.264?\nAnswer: 2.6528","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 1651*n + 13186. Determine c(-8).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 133159 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(11)*3)**2*3 - sqrt(176)\/sqrt(4).\nAnswer: -2*sqrt(11) + 297","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 2*d**2 - 5*d + 2. Let z = -9 + 21. Suppose 6*m = -5*x + 3*m + 15, -5*m = -2*x + 6. Suppose -3 = x*i - z. Calculate v(i).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 270091180 to the nearest integer?\nAnswer: 16434","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 p when two letters picked without replacement from {w: 1, u: 1, d: 2, s: 7, a: 5, p: 1}?\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -2143 (base 5) in base 7?\nAnswer: -604","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 v when two letters picked without replacement from vwyib?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(1\/37)*c)**(-33)\/(c**(1\/5)*c**(1\/21)) assuming c is positive.\nAnswer: c**(-132632\/3885)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6777, 13581, 20411, 27273, 34173, 41117, 48111?\nAnswer: 55161","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -7260047 <= -7260180?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2383370 - 10?\nAnswer: -2383380","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (95 - -1) + (-2160 - -2110)\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14*41525.\nAnswer: 581350","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7181 is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 20 = 4*y, 0 = -6*l + 3*l + 4*y - 20. Suppose -3*r + 44 = -2*t, 2*t = -5*r + 21 + 31. Solve -3*o + r = 0, -2*p + o + l + 2 = 0 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10022 (base 3) to base 5.\nAnswer: 324","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-42)\/(-9))\/14 - (-57)\/(-9)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -75*j**2*t + j**2 - 2*j*q*t - 2*j*q - 439*q*t wrt j?\nAnswer: -150*j*t + 2*j - 2*q*t - 2*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -s**2 - 7*s - 4. Let u(v) = -v - 1. Let r be u(5). Let q be x(r). Calculate the highest common divisor of q and 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 240888787 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4\/8 + 59\/2. Let k be (-4)\/g*3\/2. Let b = 3 - 5. Sort k, b, -0.1 in decreasing order.\nAnswer: -0.1, k, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (11 + -9)*(-1)\/(-5). Suppose 2\/5 - p*f**2 - 2\/5*f**3 + 2\/5*f = 0. What is f?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (0 + -2)\/((-27)\/((-11583)\/(-78)))*1*-2\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*k**3 + 5*k**3 - 3*k**3 - k**3.\nAnswer: k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1049, -1, -3, -9 in decreasing order.\nAnswer: -1, -3, -9, -1049","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1926.7595 and 2?\nAnswer: 3853.519","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 0 - 57 = 0. What is the units digit of v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(5\/6)\/(x\/(x\/x**35)))\/(x*x**(6\/25)\/x)**(-13) assuming x is positive.\nAnswer: x**(-4657\/150)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -22*l**2 - 10*l + 28. Let h be n(7). Let z = -335 - h. What is the units digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (13 - 16 - (-2 + 1)) + 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(g**(-18)\/g))**20*g**(-17)\/(((((g*g**(-15)\/g)\/g)\/g)\/g)\/g) assuming g is positive.\nAnswer: g**402","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4, -2.7, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 12*c - 11*c - 6. Calculate the remainder when c is divided by 3 - 3 - (-15)\/3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cn when two letters picked without replacement from cncncnccnnnnnnnnnn.\nAnswer: 65\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 171*g**6 + 1700*g**4 - 2*g**3 + g**2 + 226521*g wrt g?\nAnswer: 20520*g**3 + 40800*g - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52 + 292 = z. Is 30 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3.1491025075 - 3.1491. What is y rounded to 6 decimal places?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnmvyhn. What is prob of picking 2 n and 1 y?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4301)\/255 - -18 - (-1)\/(-1). Let f = -0.3 - -0.3. Sort 3, f, p, -0.5 in increasing order.\nAnswer: -0.5, f, p, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 128 and 56?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -18 - -18. Let u(m) be the first derivative of -1 + 1\/16*m**4 + l*m**3 + 0*m**2 - 1\/10*m**5 + 1\/24*m**6 + 0*m. What is t in u(t) = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 118*z**2 + 2*z + 1. Let v be i(-1). Suppose 4*w - v = 15. What is the remainder when (2328\/(-168))\/(2\/(-14)) is divided by w?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12 + -1 + (1 - 0).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 606626800 to the nearest one million.\nAnswer: 607000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*o - 5*o - o)*((4*o + 0*o - 3*o)*(-4 - 1 + 3) - 7*o + 3*o + 0*o).\nAnswer: 24*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:45 PM and 3:22 PM?\nAnswer: 97","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1318 - 2547\/2. Find the common denominator of o and 3\/10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2854127 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 2, y: 1}. What is prob of sequence yyy?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.04157 + 0.00287. Round l to 1 dp.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1906 - 1902. Suppose -8*u + 3*u = -110. Suppose -c = -u - 10. What is the greatest common factor of l and c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 571079 divided by -7823\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3866*v + 5*j = -3870*v + 13, 62 = v + 13*j for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*h + 19*h - 16680 = 0. Suppose -41*d + 36*d = -h. Does 16 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 401 minutes after 6:51 AM?\nAnswer: 1:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -257*k**2*m - 5*k**2 - 2*k*m**3 + 12*m**3 - 139 wrt k.\nAnswer: -514*k*m - 10*k - 2*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -8944? (a) -2 (b) 0.3 (c) 0.02\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*z - 5*o + 3155, 5*o + 0*o = -15. Let j = -640 - z. Let y(f) = -2*f - 20. Calculate y(j).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 222500092 to the nearest integer?\nAnswer: 606","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -19002781, -38005561, -57008341?\nAnswer: -76011121","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 1, e: 11, w: 5}. Give prob of sequence ewes.\nAnswer: 55\/5712","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*g**2\/7 + 19980*g\/7 + 79888\/7.\nAnswer: 2*(g + 4)*(g + 9986)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 22534 and 190.\nAnswer: 112670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -16 - -21. Suppose 0 = -k - 3*k - 4, 0 = w*u - 3*k + 7. What is the closest to -1 in -0.5, 0.2, u?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*u + 3427 = -647. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -220 (base 6) in base 15?\nAnswer: -59","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-25)\/150 + (-484)\/(-24). Let j(o) be the first derivative of 3\/2*o**2 - 41 - o**3 + t*o. Differentiate j(m) with respect to m.\nAnswer: -6*m + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 1 - (-4 - 4 - -5).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/528 < 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -69\/5, -1, 0.4, -25\/6?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - ((-17 - (-36 + (9 - -18))) + -1 + 36).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -7 divided by 23\nAnswer: -7\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 669 minutes after 2:38 PM?\nAnswer: 1:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2058094*z**4 + 3*z**3 - 2*z + 3666021 wrt z.\nAnswer: 24697128*z**2 + 18*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + 1 + 0 + 4515\/(-860).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.5, -338, -4, -12, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 264 + 179. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = r + l - 60, -r + 68 = 3*l - 2. What are the prime factors of r?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 248*g**4*p - 2*g**3*p**2 + g**2 + 795*p**2 wrt g.\nAnswer: 5952*g*p - 12*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 203*r**2 + 11*r - 15*r**2 + 345*r wrt r.\nAnswer: 376","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2390)\/(-120)*-4 + 1 + -1. Suppose 4*a = 3*x + x + 304, -a + 396 = -5*x. Let r = i - x. Is 0.3 greater than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(200) - (sqrt(200) + (sqrt(200) - -1*(5*sqrt(200) + sqrt(200)))))**2 - (-4*1*(0 + sqrt(200)))**2.\nAnswer: 6601","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 162721901 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 26*q + 12. Suppose 3*s = 7 + 8. Calculate the remainder when d(s) is divided by 36.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -2*w**2 + 5*w + 4. Let a(b) = -12*b + 115. Let r be a(10). Let y(j) = -2*j**2 + 4*j + 3. What is r*y(z) + 4*q(z)?\nAnswer: 2*z**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 60 + 75 = 0. Which is the fourth biggest value? (a) -0.06 (b) 0 (c) m (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m when two letters picked without replacement from {r: 2, m: 2, c: 2, y: 1, k: 1}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 25225?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 6 - 4*d + 2*d + d + 6*d. Let w = -5 + 11. Let k(s) = 6*s - 8. Let v(x) = -5*x + 7. Let c(i) = -6*k(i) - 7*v(i). Calculate w*c(b) + l(b).\nAnswer: -b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8920, -73801, -250586, -595225, -1163668, -2011865?\nAnswer: -3195766","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the first derivative of 2*q - 2 + 1\/2*q**2. Determine j(-1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*c**5\/13 + 20*c**4\/13 + 60*c**3\/13 + 80*c**2\/13 + 50*c\/13 + 12\/13.\nAnswer: 2*(c + 1)**4*(c + 6)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4 - 11. Let p = -9 - h. Let s = -2 + 11. What is the highest common divisor of s and p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3*2*(8\/88)\/(1520\/440)\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*w = -7*w + 10. Find the common denominator of 32\/3 and w - ((-1)\/5)\/((-36)\/550).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39876 a multiple of 121?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 37 - 35 = 0. What is the units digit of r*(41 + -2) + (1 - 3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 556427946?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.207606104 to 1 decimal place.\nAnswer: 1.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 11324263 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -3\/572 and 25\/16.\nAnswer: 2288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 9159 + -5223. What are the prime factors of z?\nAnswer: 2, 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -9984.3 + 9984. Which is smaller: y or -547?\nAnswer: -547","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4004 - 3917. Calculate the remainder when 455 is divided by o.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 1094?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4505 - -4507. Suppose 1625 = 6*h - h. Suppose -i*d + h = -5*m, 3*d + 3*m = -2*m + 475. List the prime factors of d.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2 and 134?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 2, n: 1, h: 6, g: 2, p: 1}. Give prob of picking 2 h and 1 g.\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 2*p**2 + p**2 - 2*p**2. Let r(o) be the first derivative of 4*o**3\/3 + 1. Determine j(r(q)).\nAnswer: 16*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2000754546 and 126.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = k**2 - 8*k + 9. Let r be c(7). Suppose -3*n + n = -r. Let t(m) = -2*m - 2. Let b be t(-2). Sort 3, b, n in descending order.\nAnswer: 3, b, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 58 = 3*y - 9, x = -5*y + 121. Let m = 122 + -22. Calculate the greatest common divisor of m and y.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*x - 12, -2*x - 441 = -b - 145. Is 10 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yo when two letters picked without replacement from kkzzokkzkykvkkbkkkkz?\nAnswer: 1\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = y + 27. Let x be t(-16). Let p = -15 + x. Let j be (-132020)\/p - 3 - 2. What is j rounded to the nearest 1000?\nAnswer: 33000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p**(-2)\/p*p*p*(p*p**(-3\/5))\/p)**33 assuming p is positive.\nAnswer: p**(-99\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - x = 13044 + 2393, -3*x = -18. List the prime factors of l.\nAnswer: 15443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -92 = 1772*a - 1768*a + 3*d - 7*d, d - 99 = 5*a for a.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14 + (331 + -337 - (45 + -2 + 4)).\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 522308026 to the nearest integer?\nAnswer: 805","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 959 and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 8718 + 3?\nAnswer: 8720","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 46 + -42. Suppose -3*b - 3*v = v + 3, -b + l*v = 1. Sort 4, b, 1, 3 in descending order.\nAnswer: 4, 3, 1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1098597 is divided by 81?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6 + 12. What is the highest common divisor of 12 and a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -3*n**3 - 42*n**2 + 27*n + 28. What is the remainder when 310 is divided by g(-15)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**1)**(-3\/14)\/(y**(2\/5))**(-44)*y**(7\/4)*y**(-3)*(y*y\/(y*y*y**(-1\/2)*y))**(-12) assuming y is positive.\nAnswer: y**(3099\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(-4) - ((-60)\/16 - -4).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + (5 - (-5 - 2)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -u**3 + 5*u**2 + u - 3. Let z be n(5). Let y = -136 + 139. Let l(w) = -w - 1. Let b be l(-6). Solve c - y = -t + z, 25 = -4*t + b*c for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = 4*l - 16, 9*l = 3*x + 4*l + 20. Solve 6*b - 2*b + 8 = x for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 627 minutes before 4:33 PM?\nAnswer: 6:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2 (b) -9\/5 (c) -0.33 (d) -21023\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-20))**(1\/19)*n**(-36)\/(((n**45\/n)\/n)\/n) assuming n is positive.\nAnswer: n**(-1502\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9020130?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -27*r**5 - 2*r**2*s - 6*r*s - 3*s + 3 wrt r.\nAnswer: -540*r**3 - 4*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -904*b**2 - 10836*b + 137. Give d(-12).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 33893653 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 107 minutes after 7:08 PM?\nAnswer: 8:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 23 - 24.24. Let u = 1.308 + m. Round u to two decimal places.\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 3*r + 4)*(0*r - r**3 + 0*r) + (16*r**2 - 2*r**2 - 3*r**2)*(-18*r**2 + 11*r**2 - 11*r**2).\nAnswer: -195*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1.1, -4, 4\/5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 63 - -61. Let i = -122 + n. Find the third derivative of 49*t**5 - 27*t**i + 354*t**4 - 354*t**4 wrt t.\nAnswer: 2940*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = c**2 - 6*c - 5. Let z be g(7). Suppose u + b - 4 = 0, -b - 10 - 1 = -z*u. Suppose -n = -2*r - 5, 6*n - u*n - 8 = 5*r. Is -2\/5 at most as big as r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -3*f**2. Let q(k) be the first derivative of 0*k**3 - 24 + 0*k**2 + 5\/12*k**4 - 2*k. Let b(s) be the first derivative of q(s). Give b(t(r)).\nAnswer: 45*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -k + 16. Let r be n(16). Let i = 0.05 - 0.35. Which is the third biggest value? (a) i (b) 1 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 27*k - 3. Let q(u) = 13*u - 2. Let j(b) = 5*q(b) - 2*x(b). Let m be j(2). Suppose -m*t = -158 + 32. What is the units digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -19 + 19. Suppose l = 2*w - 4*d - 58, 3*w + 2*w + 5*d - 115 = 0. Does 11 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (0 + (sqrt(637) - sqrt(637)*2) + sqrt(637))*1)**2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 129 + -129. Solve -z - h + 3 = -0*z, s = -5*z + 5*h - 15 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 34814, -2, 10, 5, 3, 2, -4 in decreasing order.\nAnswer: 34814, 10, 5, 3, 2, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 67*v - h = 71*v + 62, 4*h + 23 = -v for v.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-30)\/(-48)*(-44)\/55.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 71 (b) 0 (c) -5.58853\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -18557 or 1908?\nAnswer: -18557","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2.7? (a) -3 (b) -18\/2207 (c) 3\/8 (d) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1*7 + (19 - 21). Let l = 853\/5 - 11079\/65. Put g, -3\/2, l in ascending order.\nAnswer: -3\/2, l, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 9*j - 29. Let i be y(19). Suppose 2*n + 4*k + 70 = 0, -6*n + k = -n + i. Is -29 bigger than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -9493 (b) 25191 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = -263 + 103. Let v = -32 + r. Solve v = -f + 8 - 3 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5*n**3*q**3 - 1175*n**3*z**3 + 8*n**2*q**3 - 3*n**2*q**2*z + n**2*q*z**2 + n*q**2*z**3 + 3*q**3*z**3 wrt n.\nAnswer: -30*q**3 - 7050*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2972976 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -48 by 6.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -6 + z + 20 + 3*z + 3*z. Let d be m(6). What is the remainder when 47 is divided by 14\/d - (-47)\/4?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29722 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4 + ((-3)\/(-15) - 46\/10). Let a = -10 - -5. What is the second biggest value in 0.1, f, a?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 38 - 28. Let c = x + -12. Let a = 1.7 + -0.1. Sort -0.5, a, c in ascending order.\nAnswer: c, -0.5, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p - 4911 + 4921 = 5*r, -25 = -5*r for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 238\/(-8) - 2\/8. Let h = 0 - z. Let q(g) = 2*g - 27. Let v be q(15). Solve 5*l - 25 = 0, -4*r + h = -r + v*l for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1839843 times -0.05\nAnswer: 91992.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = k**2 - 8*k + 9. Give i(8).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = 20 + 37. Find the first derivative of -20 + t*x - 21*x - 16 wrt x.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 993 is divided by 635?\nAnswer: 358","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 3131 a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 56652216 by -4721018.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by 183\nAnswer: -1\/183","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 90 a factor of 4590196?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**8)**(2\/9) assuming y is positive.\nAnswer: y**(16\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 6074857963 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -42502942 + 1190730671\/28. Let x = -23150 + f. Calculate the common denominator of 19\/20 and x.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10*(-3)\/(-12) + 45\/(-10)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2112)\/330330*-130 + ((-9)\/7 - -1).\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - 0) + -6 + 10 + -20 + 2?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a second in milliseconds?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20201 (base 3) to base 16.\nAnswer: b5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f*(f**(-1)*f*f)\/f*f*f**(-19) assuming f is positive.\nAnswer: f**(-17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (34\/(-51))\/(16\/264).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in -4, 3\/26, -5\/2?\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3898326?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1)\/(4\/(24\/15)). Let c = 1046 - 1041. What is the smallest value in c, v, 0.1, 0.4?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 31\/6 + 4\/(-24). Put 0, r, -1 in decreasing order.\nAnswer: r, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 7, j: 2, c: 1}. Give prob of picking 1 c and 2 t.\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the first derivative of -k**3\/3 + 7*k**2\/2 - 6*k - 4. Let a(u) = -u**3 + 6*u**2 - 6*u + 3. Let t be a(2). Calculate o(t).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 165, 328, 491, 654, 817, 980?\nAnswer: 1143","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8186\/63 + -908\/7. Put -2, -5, -71, h in decreasing order.\nAnswer: h, -2, -5, -71","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = g**3 - 5*g**2 + 77*g - 302. Let l be t(4). Let q be 357\/9 - 2\/(-6). Suppose 4*u = -5*v - q, 0 = 3*u - v + 6*v + 30. Is u > l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c*c\/(c\/(c\/(c*c**(-16)*c*c)*c))*c)\/c**(-3\/5)*c**(-4)*c*c\/c**(-8) assuming c is positive.\nAnswer: c**(123\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -9 + 6. Which is the nearest to -1\/4? (a) z (b) -1 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v**3 + 7*v**2 - 5*v - 5. Suppose -22 = -4*r + 2. Determine m(r).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 187 = 5*a, 4*x - 137 - 131 = 2*a. Let q = 97 - x. Is 14 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 14.03 in 0.5, 0.4, 10\/7?\nAnswer: 10\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 5*w**2 + 1. Suppose -4*i = -3*q - 2, -5*i = 6 - 1. Let x(f) = -f**2 - 4*f - 3. Let h be x(q). Let v be (-3 - -4)*(h - 2). Determine g(v).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-5)\/(-3)*(-60)\/(-50). Suppose -2*j + 2*y + 40 = 6*y, 3*j + k*y - 60 = 0. Calculate the common denominator of -25\/8 and (-14)\/(-35) - (-357)\/j.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3 - 1. Let t(z) = 2*z**2 - 5*z**2 + 2*z**s. Let x(f) = 7*f**2. Let g(l) = -10*l**2. Let y(v) = 5*g(v) + 7*x(v). Calculate y(t(q)).\nAnswer: -q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 43757 is divided by 573?\nAnswer: 209","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 209407104?\nAnswer: 2, 3, 181777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*a - 34 + 304 = 0. Let i(z) = -4*z - 12. Determine i(a).\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iieee. Give prob of picking 2 i and 2 e.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 5 (b) 1\/6 (c) -1 (d) -5 (e) 2677.24\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4 and 580.\nAnswer: 2320","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (0 + 4)*1*1. Suppose 5*x - n*x + 5*w = -2, 0 = -2*w - 2. What is the second derivative of x*g**2 + 2*g + 0*g - 4*g**2 wrt g?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 216003 = 11*m + 36406. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of j**2*t*u - 5*j**2*t + 14*j**2*u**2 + j*t*u - 3*t*u**2 - 6*t*u wrt j?\nAnswer: 2*t*u - 10*t + 28*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6144 + -15204. Let k be (-4)\/18 - m\/(-54). Let s be (7200\/14)\/((-6)\/k). Round s to the nearest 1000.\nAnswer: 14000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5.64113 + 5.\nAnswer: 10.64113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 1, -4, -3257\/5, 0, 0.2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in twenty-five eighths of a microsecond?\nAnswer: 3125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 49 - 47. Differentiate g*t + t - 6*t - 2*t - 16 wrt t.\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -523 + 4709\/9. What is the third biggest value in l, 1, -1376?\nAnswer: -1376","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 127.6 - 128. What is the third smallest value in v, 2\/7, 0.2, -0.3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.2644828ng to micrograms.\nAnswer: 0.0002644828","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 10.76 - 9.1. What is d rounded to one decimal place?\nAnswer: 1.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 7, o: 4, n: 7}. What is prob of picking 1 b and 1 n?\nAnswer: 49\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5? (a) -357 (b) -1\/5 (c) 25154 (d) 1\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 3*z - 5*k, -k - 8 = -5*z - 3. Let l be ((1 - 2) + 0)*0. Suppose 5*i - 5*n = l, -6 = -2*i + n - z. List the prime factors of i.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 0*b + 17 = -4*k, 5*b + 4*k = -53. Let p be (b\/(-6))\/((-3)\/(-30)). Suppose -2*w + 22 = 2*w - 2*a, 0 = -3*a - p. What is the units digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.142312538*-1\nAnswer: -0.142312538","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 162 = 4*w, 100 = -2*w + 2*m + 10. Let c = w - -27. Let d = 21 + c. Solve -3*r + 1 = y, 0 = 5*y + r + r - d for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.03? (a) -1 (b) -0.1 (c) -1\/4 (d) -23521\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-91*n**2 + 91*n**2 - 6*n**4)*(-2 + 3*n + n - n) + n**5 + n**5 - 3*n**5.\nAnswer: -19*n**5 + 12*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = 2*x + 180. Calculate the highest common factor of x and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -150*h - 84. Let v(b) = 6*b + 1. Calculate t(a) + 24*v(a).\nAnswer: -6*a - 60","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = r**3 + 5*r**2 - 7. Let s be i(-5). Let m = -4 - s. Suppose w - m*w = -18. Does 7 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -2\/9, -8, -0.2, 5\/13, -4\/3 in ascending order.\nAnswer: -8, -2, -4\/3, -2\/9, -0.2, 5\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.29149 rounded to 2 dps?\nAnswer: 6.29","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -525*m - 8936. Give s(-17).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 264*g**3 - 238*g**2?\nAnswer: 1584","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-6)\/(-24) - (-95)\/4. Let u = -2 - l. Let m = u - -44. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1 + -150?\nAnswer: -148","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11797198 is divided by 1695.\nAnswer: 1693","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -23 (b) 2 (c) 90\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in fourty-four fifths of a century?\nAnswer: 880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12417.\nAnswer: 3, 4139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 39439 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 225 - 4*t + 194 + 185 - 661 as f*t + p and give f.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -426957 times -27\nAnswer: 11527839","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5 - -3423?\nAnswer: 3415","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 195.9 - 234.9. Are b and -13 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6 (base 8) to base 3.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*l = 12*l - 2. Let b(u) = -2*u**3 - 2*u**2 + u + 2. Let v be b(l). Let s = v + 30. Solve 0 = 4*f + 3*r - 4, 3*f + s = 5*r - 16 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cffvvqpffc. What is prob of sequence vc?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 2388 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 458 minutes before 12:16 AM?\nAnswer: 4:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (2 + 0 - 2)\/1. Solve -g - 2 = -v for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 0.8452651 millennia?\nAnswer: 8.452651","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 2\/3, -0.03, -8, -7.84, 2\/5?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 599, 365, -3, -499, -1117, -1851, -2695, -3643?\n\"Answer: k**3 - 73*k**2 - 22*k + 693","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1038766973 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 2, q: 7, a: 2, y: 2, t: 1, n: 2}. Give prob of sequence nyry.\nAnswer: 1\/5460","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gqegeeg. What is prob of sequence ge?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (2 + 18)\/4 - 2. Suppose 2*w - 5*o - q - 15 = 0, w - 2*o = 8. Solve -w*c - 12 = -7*c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -2 + 6*p + 2. Let j(b) = 9*b + 5. Let g(l) = 8*l + 4. Let w(d) = -5*g(d) + 4*j(d). Calculate 5*q(m) + 8*w(m).\nAnswer: -2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -41 + 45. Solve -4*f = -0*f - d for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b**(2\/5)*b)\/b)**(-3\/7)\/(b**(-1)\/((b*(b\/(b**(1\/3)\/b))\/b)\/b)))\/(b*(b\/b**(-2\/3)*b)\/b*b*b\/b**(-1\/5))**(-4\/7) assuming b is positive.\nAnswer: b**(449\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = 3*z + 15, -5*z = 3*p - 2*p + 9. Suppose 295 = p*v - 971. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -329*q + 637*q - 306*q + 21*q**2 + 17*q**2. Determine l(-1).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Round 46.73 to the nearest 10.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -m**2 + 17*m + 4. Let p be g(17). Let a(r) = 56*r - 12. What is the hundreds digit of a(p)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6 - 6. Let i(w) = 5*w - 133. Let z be i(25). Let r be (2 - 30\/(-24)) + 2\/z. Put r, l, -4, 1\/4 in descending order.\nAnswer: r, 1\/4, l, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1891305 and 9540.\nAnswer: 2385","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 7105*x**4 - 656*x**3 + 47*x**2 - 64508.\nAnswer: 170520*x - 3936","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4 - 9. Let s = f + 5.075. What is s rounded to 2 decimal places?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -2*i**3 - 3*i**2 - i. Let q(l) = l**2 - 3*l - 6. Calculate the remainder when w(-2) is divided by q(5).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(147) + -4)*3 + 0.\nAnswer: -12 + 21*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = -12*w. Let l(c) be the third derivative of 0 + w*c + c**2 + 1\/12*c**5 + 1\/3*c**3 - 7\/24*c**4. Let l(v) = 0. Calculate v.\nAnswer: 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 6\/1 - (-3 + 3). Solve -v*i - 3 = -3*i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o**2. Suppose 21 = 3*l + 3*m - 27, -3*l + 90 = -4*m. Let n = 25 + -11. Let h(s) = s - l*s - n*s + 7*s. Give h(a(b)).\nAnswer: -28*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -330*k**4*x + 46*k**2*x - 3*k*x wrt k?\nAnswer: -7920*k*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 230*q - 87*q - 449*q = 526*q + 6656 for q.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = d**2 + 6*d + 5. Let q be t(-4). What is the remainder when 3\/(9\/(-4))*q is divided by 2*(77\/42 - 1\/3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5 - -9. Let z be (-1)\/p - (-30)\/(-8). What is the nearest to -1\/2 in -0.2, 11, z?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 12.333 - 12.383. Let s = -822\/7 - -117. Which is the closest to u? (a) 4 (b) s (c) 2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 466417600 to the nearest integer?\nAnswer: 21597","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30298.\nAnswer: 2, 15149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in fourty-five halves of a gram?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -34124690 - -53349446. Suppose -j - 17255244 = 6*d. What is d rounded to the nearest one million?\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7743224.\nAnswer: 2, 967903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 984069101 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 3595821 a multiple of 609?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-5)*s\/(s\/(s**3*s)))**(-7\/6)*(s\/s**(-1\/4)*s*s*s)\/s**(-1\/9)*(s*s\/s**1)**(-4\/39) assuming s is positive.\nAnswer: s**(2539\/468)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 255505?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2720 and 510.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -881*m + 900*m = 142768 + 978308. Is m a multiple of 132?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -97\/56 and -44\/343.\nAnswer: 2744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -224 + 229. Let a(y) = 2825*y + 6. Let o be a(3). Suppose 3*q = h*w - 10598, q = 4*w - 4*q - o. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2833 and 259120345?\nAnswer: 2833","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ngj when three letters picked without replacement from {g: 1, d: 2, n: 1, j: 5, x: 1}?\nAnswer: 1\/144","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -1589242 rounded to the nearest 100000?\nAnswer: -1600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence avb when three letters picked without replacement from babvbab.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ph when two letters picked without replacement from impmbbhpbbbmmbn?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 183205881 to the power of 1\/2, to the nearest integer?\nAnswer: 13535","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 198428 is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -13.71139 to the nearest ten.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -435 + 9034 + j + 21010 + 320.\nAnswer: j + 29929","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q + 4*k + 12 = 5*k + 8, 8*q = -5*k + 20 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -30441730 rounded to the nearest 100000?\nAnswer: -30400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -56 + 61. Let h = -5.04 - -5. Which is the nearest to 0.1? (a) l (b) -2 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 12\/1222*(1 + -2). Let q = -26854\/3055 + m. Suppose -4*z + 0*z + 91 = -u, 2*z = -5*u + 29. Calculate the common denominator of q and z.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 34920875*i**2 + 66346*i + 201?\nAnswer: 69841750","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/(-4))\/(((-161)\/644)\/(7\/1))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3 + 2. Let d = 13480 + -13479. What is the closest to d in -4, -32, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 704 (base 8) to base 11\nAnswer: 381","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4073044358?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -2*d**2 - 2*d. Let b(h) = -h**2 - 10*h + 14. Give b(a) - 5*m(a).\nAnswer: 9*a**2 + 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 5737 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.21 (b) -3 (c) 2\/13 (d) 368 (e) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 130 + -126. Suppose -4*j + 15 = -5. Let b be (-3)\/(-6)*(j - 1). Solve b*q = y*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*v + 15 = -5*g + 4*v, 2*g + v = 2 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 4506 divide 473113552?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 35912 divided by -243\nAnswer: -35912\/243","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1535*b - 675*b + 60249 = -2311*b for b.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -2*x. Let a(y) = 527*y - 440*y - 576*y + 1. Determine z(a(q)).\nAnswer: 978*q - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = 2*r + 3 - 128, -2*r + 119 = -n. Suppose 4*w - 44 = m, -5*m = 2*w - 7*w + 235. Let q = -18 - m. What is the remainder when r is divided by q?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*d**3 + 1170*d**2 - 1173*d.\nAnswer: 3*d*(d - 1)*(d + 391)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a when two letters picked without replacement from afffaffaffffff?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((2 - 5) + 39\/21)\/(-2). Let c be 9 + -2 + (-45)\/6. What is the biggest value in c, -9, -3\/2, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t\/(t*t*t**(3\/4)\/t*t))\/t)**(-13)*t**(-6\/11)\/(t**7*t) assuming t is positive.\nAnswer: t**(625\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 130*x + 134*x - 172*x - 95*x.\nAnswer: -3*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -6*t**2 - 139*t + 35. Give b(-24).\nAnswer: -85","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.1 - 1.3. Let g = -1 - j. Suppose -4 = -5*z - 24. Which is the second smallest value? (a) g (b) 0.4 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -8*v**2 - 307*v + 30. What is the remainder when z(-38) is divided by 31?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -5*t**2 - 14*t + 6. Let w be c(-6). What is the hundreds digit of (-20180)\/w - 6\/27?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 103\/25461228 and 55\/6?\nAnswer: 25461228","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.513298ng in micrograms?\nAnswer: 0.009513298","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 17376 and 8544?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-5)\/(-3) + 0)*-3. Let k be 8\/10*(-5 + q). Let f(x) = 2*x**2 - 11*x + 7. Is f(k) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -16.651 + 33.651. What is the nearest to 0.1 in -5, 2\/5, o, -0.3?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 111 is divided by 23.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 36*p**2 + 14*p - 63618.\nAnswer: 72*p + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 740 is divided by 16?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*y + y + 0*y)*(-2*y - 9 + 9)*(-2*y + 9*y + 10*y).\nAnswer: -34*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.1478544l to millilitres.\nAnswer: 147.8544","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11361.\nAnswer: 3, 7, 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-112374)\/(-8) - -1 - (-48)\/(-64). Calculate the highest common divisor of w and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((1 - 6 + 3)*(-1 - 1 + 5) - 3 + 3 + 1)*(4 - 5 + 3)*(-i - 2 + 2)*(-1 - 3 + 2) to the form u*i + w and give u.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 - 2) + 57 - (-90 - -212 - 141)?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*l = -3*p - 18*l + 10, -5*l = -5*p + 25 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 4*i**2 + 8*i - 137. Let j be q(5). Solve 5*v - 29 - 26 = 5*o, 38 = j*v - 4*o for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (24\/2 + -2)*(-1)\/2. Let h = -5501 + 5551. Which is greater: g or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 94294284.\nAnswer: 2, 3, 7, 1122551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -587*q - 486 + 1610 = 6994 for q.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -4814, -4813, -4812, -4811?\n\"Answer: x - 4815","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 287 rounded to the nearest ten?\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -2.441 + 0.0401\nAnswer: -2.4009","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (t + 4*t + 7*t)*(3*t - 3*t + 3*t + t + t + 0*t + (-t + 4*t - 4*t)*(3 - 2 - 3)).\nAnswer: 84*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1120)\/(-18) + 0 - 20\/90. Calculate the greatest common divisor of p and 93.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 244 + -104. Let t(n) = n**2 - 13*n - 22. Let d be t(15). Suppose -d*k = -3*k - x. Solve 22 = 3*q - 0*q - 4*p, -k = -4*q + 5*p for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 5.34216 to zero dps.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 708 minutes before 7:09 AM?\nAnswer: 7:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 4766, 4769, 4760, 4739, 4706, 4661, 4604?\n\"Answer: -6*s**2 + 21*s + 4751","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(90))\/sqrt(5).\nAnswer: -3*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 697 by 12267.\nAnswer: 697\/12267","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 92*u + 79 = 171. Let b(f) = -80*f + 2. What is b(u)?\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -b9 (base 16) in base 3?\nAnswer: -20212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = y - 4. Let g be t(7). Suppose 15 = g*l + 2*l. Let v(w) be the third derivative of w**5\/30 - w**4\/24 - w**3\/2 - 9*w**2 - 23. What is v(l)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -1 + 2 - 4*-1. Suppose 325 = -3*b - 4*t, -s*b - 3*t - 852 = -303. Let i = 167 + b. Does 14 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*d + 59 + 47 - 55 - 52 - 3*d**2 - 537*d**3 in the form a*d**2 + t*d**3 + j*d + s and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41 = -3*m - 26 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3596 and 9238?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = h**3 - 4*h**2 + 3*h + 4. Let r be (2 - (-3 + 4)) + 2. Let i be z(r). Solve -14 = 2*v - i for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ypde when four letters picked without replacement from {y: 7, p: 8, e: 1, d: 4}?\nAnswer: 28\/14535","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5 + -4a?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.49528 to two decimal places.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 21*w - 1. Give z(1).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - -22) + (-94 - -134 - 49) + (-68 - 0).\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 27 - 55 - 81*b + 27 + 82*b. Let u(c) = 2*c - 2. Let r be 2 + (0 + -1 - -4). Suppose 5 = -x, 0*t = -2*t - r*x - 7. Determine t*f(j) - 4*u(j).\nAnswer: j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the third derivative of -349*z**8\/336 - z**6\/60 + 285*z**4\/8 + 1203*z**2. Find the second derivative of k(w) wrt w.\nAnswer: -6980*w**3 - 12*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 620227465 is divided by 239.\nAnswer: 238","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -1308240 rounded to the nearest one hundred thousand?\nAnswer: -1300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (45\/(4455\/(-264)))\/(2\/6).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -59099 divided by 37?\nAnswer: -59099\/37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 420 minutes after 9:44 AM?\nAnswer: 4:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-1)\/2 - 468\/65 and -1 - (32\/(-22) - 2).\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*p**2 - 732*p + 66978.\nAnswer: 2*(p - 183)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 34700 is divided by 63.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 32517 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4 + 4. Suppose v*h + 49 = 7*h. Solve 0 = -w - 9 + h for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 166 a factor of 16268?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 22351*i**2 - 55108*i?\nAnswer: 44702","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2 and 1206354?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 2*l**2 - 14*l + 6. Let o be f(10). Let t = -56 + o. Suppose -t = 4*z - 374. What is the remainder when z is divided by 23?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 4*a = -30. Calculate the greatest common factor of a and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4183 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/55 (b) 6 (c) 1110\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 5, s: 7, a: 5, i: 1}. What is prob of sequence us?\nAnswer: 35\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*k - o + 9, k + 2*o = -o + 2. Solve 0 = 3*t - k*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 20304 and 48.\nAnswer: 20304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 404870707 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-j - 4*j + 3*j)*(113 + 89*j**2 - 113) - 2 + 2*j**3 + 2 + (-3*j + 0*j + 2*j)*(2 - 2 + j**2) + j**3 + 0*j**3 - 3*j**3.\nAnswer: -179*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 1, i: 1, b: 4, s: 2, h: 2, g: 5}. Give prob of sequence ssgi.\nAnswer: 1\/3276","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, l: 1, i: 2}. What is prob of picking 1 l and 1 b?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -m**2 - m - 1. Let u(c) = -c**3 + 6*c**2 + 4*c + 4. Suppose 3*v = 4*p + 8, p + 0 + 3 = v. Let b(x) = p*u(x) + 4*t(x). Find k such that b(k) = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 - 3)*(-13 - 9 + 8)*(2*t**3 + 0*t**3 - 4*t**3).\nAnswer: -56*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -1, 5, -225, 6, -3 in descending order.\nAnswer: 6, 5, 3, -1, -3, -225","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = j**3 - j**2 + 13*j - 1. Let n(h) = -7*h**2 + 8*h - 8. Let g(f) = -2*b(f) + 2*n(f). Calculate g(-5).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 9 by -143.\nAnswer: -9\/143","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 152417?\nAnswer: 152417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/g**3)\/g**(-1)*g**(1\/6)*g**(-1))**(10\/7) assuming g is positive.\nAnswer: g**(-55\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 - 2 - 1)*(1 + 1 + 0) - 17 - 4 + 13)*(-2*d**3 - 1 + 0 - 1).\nAnswer: 20*d**3 + 20","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 192372393 to the power of 1\/3, to the nearest integer?\nAnswer: 577","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.31 + -0.21. Which is the closest to n? (a) -4 (b) -1\/5 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 47450441 or 47450449?\nAnswer: 47450441","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 59331004 * -0.07\nAnswer: -4153170.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 g when three letters picked without replacement from {z: 10, v: 4, g: 5}?\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1048*i + 1046*i = 1722. Let j = i + 864. Solve j*l = -3*z - 9, 2*l - 5*z = l + 27 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43249441559 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -5342*d - 486112. Calculate u(-91).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 2*o**2 - o**2 - 2*o**2. Let f be 1 - 2*(-3)\/6. Let a(r) = -3 + f - 4*r + 1. Determine j(a(g)).\nAnswer: -16*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = s**3 - s**2 - 1. Let d(b) = 10*b**3 - 10*b**2 - 2*b - 12. Calculate -12*c(v) + d(v).\nAnswer: -2*v**3 + 2*v**2 - 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w**(-6)\/w)\/w)\/w*w*w**(-4\/5)*(w\/w**(-1)*w*w)**(-22) assuming w is positive.\nAnswer: w**(-479\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/((-28)\/8))\/((-6)\/84*2).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1646778?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 144326?\nAnswer: 2, 7, 13, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2636 - 2636. Let r = 8 + -8.03. Put g, r, -4, 5 in ascending order.\nAnswer: -4, r, g, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 675 and 60.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 13, -3, -21\/4, 5, -31 in descending order.\nAnswer: 13, 5, -3, -21\/4, -31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 177021536 and 3252?\nAnswer: 1084","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -96, -230, -400, -612, -872, -1186?\nAnswer: -1560","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) 1 (b) -28 (c) -0.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*b + 6 = -4*b + 3*c, 93*c = -b + 90*c + 16 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*s - 3*i - 246 = -99, 14 = 11*s - 7*s + 2*i for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -91134, -182091, -273048, -364005, -454962?\n\"Answer: -90957*o - 177","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = 4*y - 0 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2448) + 4 + 2)*-4)**2.\nAnswer: 2304*sqrt(17) + 39744","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.008684 rounded to three decimal places?\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the first derivative of 9 + 1\/2*r**2 + 0*r. Let k(h) = 8*h + 1. Let s(d) = 6*a(d) - k(d). Determine s(-7).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.03, 2.6, -9, 0?\nAnswer: 2.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2 + 3\/(-1 - -4). Suppose 4*i - k = 6, -5*i = k + q*k + 3. Let p(l) = 5*l**2 + 1. Let z be p(i). Solve 0 = z*j - 3*j - 3 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 3 = -2*y. Let k be (6\/8)\/y + 0. Which is the nearest to k? (a) -4 (b) -1 (c) 1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 15, -183, -837, -2175, -4425, -7815, -12573, -18927?\nAnswer: -27105","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/19 (b) -0.2 (c) -4 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 167429*b*i**3 + b*i**2 + 437*i**3 - 2*i**2 - 7996 with respect to b.\nAnswer: 167429*i**3 + i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (96\/(-160))\/((592920\/400)\/61)\nAnswer: -2\/81","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.10874 * 0.18.\nAnswer: -0.0195732","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x - 24 = -36*n + 32*n, -4*n + 24 = 5*x for n.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -1*12\/15 + 2490760\/200?\nAnswer: 3, 7, 593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 82248488?\nAnswer: 2, 7, 1468723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 128009354 by 22082.\nAnswer: 5797","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 + (-8)\/12 + 9146\/3 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 3*k**5 - 3*k**4 - 3*k**3 - k - 3. Let s(d) = d**4 + d**3 + d + 1. Let y(i) = -b(i) - 3*s(i). Find the second derivative of y(r) wrt r.\nAnswer: -60*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 10*y**2. Let f(g) be the third derivative of -g**5\/3 - g**2 + 1451*g. Determine f(d(m)).\nAnswer: -2000*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 376 smaller than 377?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 18827 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = a - a**2 + 9*a**3 - 4*a**2 + 5*a**2. Let f be b(1). Solve 2*t + 0 + f = 0 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1030 - 204422?\nAnswer: -203342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = u**3 + 6*u**2 + 2*u + 9. Suppose -17 = -10*x - 107. Let q be (-12)\/x*30\/4. Let r = q - 16. Calculate a(r).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1986*u + 4239*u - 2247*u.\nAnswer: 6*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4884*h - 2454*h - 432 - 2432*h.\nAnswer: -2*h - 432","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 48342383 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1195741 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 5*u**2 + 6*u + 6. Let i be d(-4). Let c = -9 + i. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -50*n + 13. Let s(f) = 33*f - 8. Let x(p) = -8*s(p) - 5*z(p). Determine x(-2).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 3*f = 15, 17 = 4*f + 13. Which is the nearest to -2? (a) h (b) -0.2 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that 400*s**5 - 580*s**4 - 1556*s**3 - 864*s**2 - 144*s = 0.\nAnswer: -3\/4, -2\/5, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -2 + 4 + -3 - -19. Let r(l) = 1. Let m(f) = 3*f - 18. Calculate w*r(y) + m(y).\nAnswer: 3*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -4 * -1030678\nAnswer: 4122712","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*j - 3*j - 1725 = 5*u, 0 = -5*u. Is j a multiple of 64?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*x - 12 = 4 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26604731*p - 1705 = 26604562*p + 1675 for p.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*x**2 - 22 - 8 + 0*x**2.\nAnswer: -13*x**2 - 30","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 12\/(-42) + (-402)\/14. Does 16 divide (-1 + t)\/(-2) - -1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 406 = 764. Does 45 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 16747302?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:24 AM and 12:28 PM?\nAnswer: 424","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 771 - 828. What are the prime factors of 1 - (b + (-8)\/(-4))?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 66998697799 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -3*l**2 + 19*l + 1. Let c(x) = 4*x**2 - 19*x - 1. Let m(r) = -6*c(r) - 7*f(r). What is the units digit of m(-6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(36) - ((sqrt(252)*2)\/sqrt(7) - sqrt(36)))*4)\/(4*((sqrt(243)*-1 + sqrt(243))*-6 - sqrt(243) - sqrt(243) - sqrt(243))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 19221.5 - 19200.4842. Let j = x + -21. Round j to three decimal places.\nAnswer: 0.016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1778247 a multiple of 603?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1505*z**3 - 38 + 229 - 36 + 276.\nAnswer: -1505*z**3 + 431","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 0.6430898 nanometers?\nAnswer: 0.0000000006430898","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3421? (a) 3\/7 (b) -23\/7 (c) -1\/6 (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.061? (a) -8 (b) -1\/3 (c) -1\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (159 - 3*l - 159)*(4 - 3 + 1).\nAnswer: -6*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2366 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 1836?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*o**2 + 2655*o - 2650.\nAnswer: -5*(o - 530)*(o - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + (3 - 1) - -4 - 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.02 + 0.52. Let p = -0.5 - u. Let x = p - -6. What is the third biggest value in x, -3, 3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6.7, 5, -5, -2, 0.4.\nAnswer: -6.7, -5, -2, 0.4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 + 1 + 18 + -22 + 1 + -3.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 76 divide 222496612?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-1\/2))**(-27))**(-15) assuming g is positive.\nAnswer: g**(-405\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = c**3 + 9*c**2 + 7*c - 4. Let w be s(-8). Suppose -15 = -5*m, w*f - 2*m - 19 = 3. List the prime factors of f.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k + 3*x = 2, -3*k - 2*x - 20 + 15 = 0 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -30608? (a) 2 (b) 0.1 (c) -1\/4 (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -o**2 - 3130*o - 2263485. Determine a(-1134).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1510 + -333453?\nAnswer: -331543","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(4\/7)\/d)**(3\/11)*(d*d**(-2\/21))**17 assuming d is positive.\nAnswer: d**(3526\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 - 20 - -9 - -2?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31232 - 31232 - 2*u**2 + 109*u**3.\nAnswer: 109*u**3 - 2*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 43*y**2 - y + 2. Let o(r) = 87*r**2 - 4*r + 5. Determine 5*g(a) - 2*o(a).\nAnswer: 41*a**2 + 3*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -355*a - 6466 - 989 = 0 for a.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 63 a factor of 629622?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4033 (base 6) to base 11.\nAnswer: 735","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 24\/20*10\/(-4)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor j**3 - 833*j**2 + 173888*j - 173056.\nAnswer: (j - 416)**2*(j - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 14*r. Let w(p) = -82*p**2. Give i(w(t)).\nAnswer: -1148*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -288 + 2016 = 36*t. Solve t*p = 49*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11121.92 rounded to the nearest 10000?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 416*s**2 + 449*s - 15. Let m(w) = 414*w**2 + 450*w - 18. Let p(i) = -5*m(i) + 6*o(i). Find the second derivative of p(y) wrt y.\nAnswer: 852","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.259 rounded to 0 dps?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6*m**4 - 32*m**3 - 2*m**2 + m + 8583 wrt m.\nAnswer: -72*m**2 - 192*m - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ledleledldlel. What is prob of sequence ee?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 8 = -2. Suppose -r*p = 2*p - 10. Suppose -11 = -5*s - 4*u + 64, 5*s - p*u - 105 = 0. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 466 minutes after 11:03 AM?\nAnswer: 6:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 8.2 (b) 1 (c) -5 (d) -3\/2 (e) 3 (f) 46\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2064461999 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -9903504, -19806893, -29710282, -39613671, -49517060, -59420449?\n\"Answer: -9903389*b - 115","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = f**2 + 1. Let t(y) = 6*y**2 + 12. Let a(i) = 9*k(i) - t(i). Factor a(x).\nAnswer: 3*(x - 1)*(x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = 3*u - 12. Suppose 4*g - g - 69 = -5*h, 0 = -u*h - 2*g + 42. Suppose h - 89 = -a. What is the highest common divisor of 7 and a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the third derivative of -7\/6*r**3 - 1\/4*r**4 + 0 + 1\/6*r**5 - 1\/120*r**6 - 3*r**2 + 0*r. Does 9 divide k(9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -117 - -120 - (1 + 1).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*a**2 - 2*a - 2*a**4 - a**2 + 6*a**3 + 0*a in the form k*a + i*a**4 + m*a**2 + d*a**3 + t and give d.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 3*l + 69 = 0. Let g = l + -84. Let m be (1\/15)\/(g\/25). Which is the closest to 4? (a) 3 (b) 1 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q = 6*l - 55, -3*l + 7*q + 2*q - 4*q = 10 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 2*c**2 + 29*c + 12. Let s be g(-11). Let x = s + 68. Solve -1 = -2*b - x for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 2*j**3 + 73*j**2 - 16*j - 156. Give u(-37).\nAnswer: -933","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f**(2\/17)*f*f)**(-27)*f*f*f\/f**5*f\/f**(-2\/63) assuming f is positive.\nAnswer: f**(-91190\/1071)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the second derivative of -p**7\/42 + p**3 - 4*p. What is the second derivative of i(v) wrt v?\nAnswer: -20*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1396397 or -1396398?\nAnswer: -1396397","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*u - 42 - 48. Let z = -20 + u. Calculate the lowest common multiple of 6 and z.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 3619?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 32 = 3*d, -8*o - 5 + 41 = 2*d. Let j be 80\/14 + (-2)\/(-7). Solve j*u - o*u = 8 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -0.4 (b) -4 (c) -0.2 (d) 18\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -95 - -38. Let t = z - -57.01. Let x = -0.01 - -3.01. Which is the closest to 0? (a) -5 (b) t (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*w**4 + 12*w**4 - 120*w + 548*w**3 + 372*w**2 - 366*w**3 - 368*w**3 = 0. What is w?\nAnswer: 0, 2\/5, 2, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + h + 27389 = 0, 17*s + 13690 = 19*s - 2*h. Is s a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -156*i**3 - 330*i**3 + i**2 + 0*i**2 - 5*i**5 + 604*i + 602*i**3 wrt i?\nAnswer: -300*i**2 + 696","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/(-5) - (-532)\/95?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 142 is divided by 74?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1003517 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*b - 922 = 15*b - 1094. Factor 1\/7*r**b - 3\/7*r**2 - 1\/7*r**3 + 1\/7*r + 2\/7.\nAnswer: (r - 2)*(r - 1)*(r + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -k + 247. What is the units digit of d(0)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that -13\/2*v**2 + 5\/4*v**4 - 1\/8*v**5 + 43\/8*v**3 + 0 + 0*v = 0.\nAnswer: -4, 0, 1, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 179*z**3 - 23*z**2 wrt z?\nAnswer: 1074","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6520 - 13057 + 6537 - 4642*l to k*l + n and give k.\nAnswer: -4642","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = l**3 + 4*l**2 + 5*l - 2. Let m be n(-2). List the prime factors of 2 + -2 + 219 - m\/1.\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 151938540 divided by 201510.\nAnswer: 754","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -2\/13, 3\/2, -0.159 in increasing order.\nAnswer: -3, -0.159, -2\/13, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 2 - 4)*(37*i**3 - 168*i + 168*i).\nAnswer: -296*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 398.4664 meters in centimeters?\nAnswer: 39846.64","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -4 + 11*t**3 - 30*t**3 - 3*t + 65*t**2 - 7 - 71*t**2 + 18*t**3. Determine m(-5).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 60 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -12*l**2. Suppose -n - 8 = -3*n. Suppose 2*j - 3*a = n, 3*j - 8*a = -3*a + 4. Let f(w) = -2*w - j*w + 19*w - 3*w. What is c(f(t))?\nAnswer: -432*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-74)\/(-4)*-4 + 125*(-27)\/675.\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the third derivative of u**9\/21 - u**5\/60 - 22*u**2. Find the third derivative of y(b) wrt b.\nAnswer: 2880*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3 + 5. Let x = 164 - 164. What is the nearest to x in 3, c, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -606, -850, -1166, -1590, -2158?\n\"Answer: -6*i**3 - 202*i - 398","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2839913 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 42, -1, 3, -4\/3, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 1045 divided by 209\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 148\/222*(-3 - -1 - 70\/(-44)).\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 353 minutes after 1:00 PM?\nAnswer: 6:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1055 + 1101. Calculate the remainder when d is divided by ((-63)\/(-35) + -7)*10\/(-4).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -10388 less than or equal to -1069892\/103?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-3*(-1 + sqrt(117))*-3)**2.\nAnswer: -57348 + 2916*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 9 - 3 = 0. Let p be (w\/5)\/(((-36)\/15)\/6). Let g = 0.4 - 0.1. Which is the second biggest value? (a) g (b) p (c) 0.06\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -8\/5*m**2 + 6\/5*m**4 + 0 + 0*m + 2\/5*m**5 + 0*m**3 = 0. Calculate m.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 4*h - 10. Let r be m(3). Let d(s) be the third derivative of 0*s + 0 + r*s**2 + 1\/60*s**4 - 1\/50*s**5 + 0*s**3. Factor d(c).\nAnswer: -2*c*(3*c - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 14904 + -14901. Let s(b) be the third derivative of b**5\/20 - b**4\/8 - b**3\/6 + 2*b**2. What is s(m)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -13186990\/11 and -1198817 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 38618.\nAnswer: 2, 19309","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*i = -7*i + 5. Suppose 4*n - i - 7 = 0. Calculate the smallest common multiple of 6 and n.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + -1*sqrt(1872) - sqrt(1872)) + (sqrt(156)\/sqrt(3) + sqrt(13) + (sqrt(39)*-1)\/sqrt(3) + sqrt(13))**2.\nAnswer: -24*sqrt(13) + 120","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -225*z + 28. Calculate p(1).\nAnswer: -197","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 25617 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -5*x - 4*f + 10, 2*x - 12 = 2*f. Solve 2*b + x*p = 18, -2 = 5*b - 4*p - 5 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -17 - -10. Let o = 9 + g. Which is the smallest value? (a) -3\/5 (b) o (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 404\/(-20 - (1 - 0)). Let v = 10085\/462 + x. Calculate the common denominator of -79\/16 and v.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3.8 - -6.5. Let v = l - 20.2. Let q = 10 + v. Is q at least 0.5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -k**2 + 3966*k + 5739803. What is s(-1127)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 27\/34 and -69\/22.\nAnswer: 374","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Total of 11858041 and 76.\nAnswer: 11858117","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + -3 + sqrt(2448) + 0.\nAnswer: -2 + 12*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(847) - -2*(sqrt(847) + sqrt(847)*-3)) + (sqrt(847) - (-1 + 2*sqrt(847))) + (3*(sqrt(847) + 1) - (-1*sqrt(847)*3 - sqrt(847)))**2 + 1.\nAnswer: 418*sqrt(7) + 41514","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2 - 3\/(-24)*18*(-400)\/750. Factor d - 2\/5*z - 2\/5*z**2.\nAnswer: -2*(z - 1)*(z + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -s**2 + 18*s - 10. Determine m(18).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*s - 17*s = -38*s - 714 for s.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*s**2\/11 - 252*s\/11 + 2754\/11 = 0 for s.\nAnswer: -51, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 5*n = 293, -3*y + 5*n + 307 + 150 = 0. Calculate the remainder when 167 is divided by y.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*b = 41*b - 10. Let l(c) = -c**3 + c**2 - c - 4. Determine l(b).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (8\/(-24))\/((-1)\/(-3)). Let z = b - -5. Solve 2\/7*r + 2\/7*r**2 + 0 - 2\/7*r**z - 2\/7*r**3 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1318735939.\nAnswer: 31, 42539869","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 62 and 806?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = y**3 - 6*y**2 + 3*y + 4. Suppose -5*q + 15 = -5*p, 0 = -4*q - p - p + 30. Let n be (-2)\/q*0 + 6. Is x(n) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 207 minutes before 4:54 PM?\nAnswer: 1:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 297421 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) be the third derivative of 0*t**4 + 1\/15*t**7 + 0 - 29\/6*t**3 + 0*t + 1\/120*t**6 - 161*t**2 + 1\/60*t**5. Find the third derivative of j(f) wrt f.\nAnswer: 336*f + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -d62c7 + -2e1?\nAnswer: -d65a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -154 + 138 - 406*f**3 + 16.\nAnswer: -406*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -16*c**3 + 2*c**2 - c. Calculate t(1).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 14129?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 14*y**2\/11 - 4332*y\/11 - 163472\/11.\nAnswer: 2*(y + 34)*(7*y - 2404)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000673237363 rounded to 7 dps?\nAnswer: -0.0006732","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*t + 41 = 1. Suppose 0 = -0*v + 3*v + t*m - 2841, 0 = 5*v + 2*m - 4721. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the second derivative of -1\/300*p**5 + 0 - 4*p + 11\/2*p**2 + 1\/60*p**4 - 1\/30*p**3. Let y(d) be the first derivative of r(d). Factor y(a).\nAnswer: -(a - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v, 1 k, and 1 h when three letters picked without replacement from vkkhvx.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2\/1)\/(-6)*-51. Suppose 0 = 3*r - 5*x - 508, 4*x + 1 = i. Calculate the greatest common divisor of r and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 3*s**2 + 2*s + 4. Let b(c) be the third derivative of -c**5\/12 - c**4\/8 - 7*c**3\/6 + 7*c**2. What is -7*a(w) - 4*b(w)?\nAnswer: -w**2 - 2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 8 = -0. Let b = u - 6. Let y(q) = 2*q**2 + 4*q + 2. Let i be y(b). Solve 4*s + 3 + 10 = f, i*f - 5 = s for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 45\/1972 and 79\/406.\nAnswer: 13804","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 25d + 12?\nAnswer: 270","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in u - 730078 + 1460200 - 730122.\nAnswer: u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5.2 - 18128.\nAnswer: -18122.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - (1 - (-16)\/(-3))?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4\/(-28) - 536\/(-28). Suppose 360 = 24*u - p*u. Let a = u + -65. Calculate the lowest common multiple of 4 and a.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 = g + 4*g. Calculate the highest common factor of 21 and g.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -29\/100 and -127\/140.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -c**3 - 35*c**2 + 38*c + 72. Let k be t(-36). Let g(d) be the third derivative of 15*d**2 + 0*d - 1\/30*d**5 + k - 4\/3*d**3 + 1\/3*d**4. Factor g(h).\nAnswer: -2*(h - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 - (-74580 + (-7 - -5 - 1)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/((f**(2\/7)\/f)\/f))\/(f*f*f\/f**(2\/7)*f)*(f*(f\/f**1)\/f*f)**(2\/5))\/((f\/(f\/f**2)*f)\/f*f**(-6\/11))**(4\/23) assuming f is positive.\nAnswer: f**(-1079\/1265)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f**4 + 62*f**3 + 172*f**2 + 112*f = 0.\nAnswer: -28, -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11*(-408)\/(-1683)*9\/42?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 1, l: 2, w: 2}. Give prob of sequence wltl.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = b**2 + b + 7. Give f(7).\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-5563)\/((4\/(-27))\/4). Suppose 4*i = 1649799 + k. Round i to the nearest one hundred thousand.\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + 0 - (73 - 40 - 29)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52*i = -78 + 79 + 103. Solve 0 = -2*f + i*l - 8, -24*f + 25*f = 5*l - 12 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -29*c. Let a be m(-1). Suppose 4*l + 5*v + 16 = 159, -l + v + a = 0. Suppose 2*t + 36 = 5*t. What is the remainder when l is divided by t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 170 - 169.93. Let s = 3.8 - 4. What is the biggest value in s, 2, r?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cjic when four letters picked without replacement from pjijc?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(209) - (sqrt(209) + -5*3*sqrt(209)))\/sqrt(11).\nAnswer: 15*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -12*a - 36. Let s be c(-3). Solve 9*m - 8*m - 4 = s for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2096 is divided by 901?\nAnswer: 294","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1148 - -4418. What is the hundreds digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*s + 8*s. Suppose -5*c - c = s. Suppose -2*k - 4*b + 28 = c, -5*k - b = -5*b - 42. Calculate the remainder when k is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - (-3 - 6) - 4 - 3?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9907256 to the nearest integer?\nAnswer: 3148","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1918 + -1847. Let y(q) = -167*q + f*q + 95*q. Let t(a) = -4*a**2 - 6*a. Let c(d) = -9*d**2 - 11*d. Let o(z) = -6*c(z) + 11*t(z). Give y(o(n)).\nAnswer: -10*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:52 AM and 12:31 PM?\nAnswer: 459","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(2299) + 1 + -3.\nAnswer: -3 + 11*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 19, 2, 32\/5 in descending order.\nAnswer: 19, 32\/5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 70*j = 68*j + 12. Let d be 3\/j + (-11)\/2. Which is the third biggest value? (a) 1\/17 (b) 4 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5616.5 - -5617. What is the nearest to 19 in -1, o, -4?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*p**4 + 130*p**3 - 2340*p**2 + 7470*p - 5265 = 0. Calculate p.\nAnswer: -39, 1, 3, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the third derivative of s**5\/60 - s**4\/24 + s**3\/2 + 5*s**2. Let w be p(0). Solve -w*u = 2*u + 5 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 169747873?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 18\/9 + (-2 - -1*2). What is the highest common divisor of 2 and g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 207 + 0?\nAnswer: 207","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -468 - 1178*w - 1835*w + 468 + 657*w to s + u*w and give u.\nAnswer: -2356","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -2*z + 1. Let m be i(-2). Let u(c) = -c**2 + 4*c + 5. Let s be u(m). Solve -5*h + 8 + 2 = s, -2*h = d - 9 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -11*q**3 + q**2 + 2*q + 1. Is m(-2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -310, -1224, -2740, -4852, -7554, -10840, -14704?\n\"Answer: v**3 - 307*v**2 - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 127951 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*a**4*c*p + 397082767*a**3*c*p - 147*a**2*c*p + a**2*p - 203463*c*p wrt a.\nAnswer: -48*a*c*p + 2382496602*c*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5235907 is divided by 5409?\nAnswer: 5404","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8 - 5. Suppose 2*h + 6 = 0, -m + 0 = -j*h - 3. Is m less than or equal to -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - 1) + 2 + 0 + -3?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -110011 (base 2) to base 4\nAnswer: -303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3683 - -3854. Is 7 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 871\/2631 + 2\/877. Let s = 0.8 - 0.6. Which is the third biggest value? (a) -0.4 (b) h (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = -5*f, 0 = 5*f - n - n - 10. Let y be 2\/3 - (-48)\/9. Suppose y = 3*p - 0. Solve f*o - 10 = p for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 2 y when three letters picked without replacement from {y: 3, m: 11}.\nAnswer: 33\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = j**2 - 6*j - 9. Let w be x(9). Suppose v + 4*c - w = -v, -3 = c. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-k**2 - 2*k**2 + 5*k**2)*(-107 + 46 + 22*k**2 + 53) in the form n + l*k + w*k**4 + x*k**3 + u*k**2 and give u.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(-180)*-2*-5?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bbffbbbbbf. Give prob of sequence bbbb.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -336620933, -673241867, -1009862801, -1346483735, -1683104669, -2019725603?\nAnswer: -2356346537","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1.5059 - 2.5059. Let h = -40 + 362\/9. Let y = 1 + 0. Which is the nearest to 1? (a) y (b) v (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 91*l + 32 = -605 for l.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 + 4 + 2 - -5?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8123 by 1.\nAnswer: -8123","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1)\/(-2) + 35\/56*52 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -724.87 - -720. Let o = y + -0.13. Which is the nearest to 1? (a) -0.2 (b) o (c) -5\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 10702.5 - 10702. Let v be (-2)\/3 - 28\/(-6). Sort q, v, -1\/3 in descending order.\nAnswer: v, q, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 217 minutes before 1:26 PM?\nAnswer: 9:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 6271812 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: Suppose -d - 2 = -3*t - 20, -26 = -2*d - 4*t. Suppose 3*l = -2*l + 150. Calculate the highest common divisor of d and l.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -4*w. Let b(u) = 5*u. Let y(i) = -5*b(i) - 6*s(i). Let m(q) = 10*q**2. Calculate y(m(d)).\nAnswer: -10*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2.635 + 0.635. Which is the third biggest value? (a) -4 (b) 1\/3 (c) g (d) 3\/2 (e) 23\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 2, l: 9, f: 3, h: 2, q: 3}. What is prob of sequence qh?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -21*a**3 - 1 - 2*a**2 + 360529*a - 360529*a to m + p*a**3 + s*a**2 + v*a and give p.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 203 a factor of 56028?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 572 - 622.8. Let s = 50.8 + k. Let z = -9.2 - -0.2. Which is the biggest value? (a) -2 (b) z (c) s (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -234144244 (base 5) to base 9.\nAnswer: -2032364","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*l**3 - 2*l**3 - 9*l**3 - 2*l**3.\nAnswer: -11*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 divided by 4058?\nAnswer: 5\/2029","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 - 22 = -2*u + 2*t, u = 5*t + 24. Suppose 9*r = 111 + 24. Is u bigger than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d**3\/2 + 3291*d**2\/2 - 26499*d\/2 + 23205\/2 = 0. Calculate d.\nAnswer: -1105, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -19*z + 0 - 11*z + 43*z + 8 - 2*z**3 in the form k*z + t*z**3 + n + m*z**2 and give k.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 34984735?\nAnswer: 5, 6996947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3)\/(3\/4) + 6. Let x be -19*(o - 4)\/2 + 0. Suppose -3*s - x = -28. Let j(y) = -y**3 + 3*y**2 + y + 4. Give j(s).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 4*n + 42 - 127 = 0, 0 = -2*a - 2*n + 140. What is the units digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3 and 10.59?\nAnswer: 31.77","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 16 + -23. Let q(b) = -b**2 - 9*b - 4. What is the units digit of q(s)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -8\/98447 and -46\/3?\nAnswer: 295341","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -20*d + 43. Let b(i) = 19*i - 42. Let r(q) = -7*b(q) - 6*w(q). Differentiate r(t) with respect to t.\nAnswer: -13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 16 - 16.2. What is the biggest value in -0.12, 3, u?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 24210*k + 8. Let q(u) = 121049*u + 38. Calculate -19*b(r) + 4*q(r).\nAnswer: 24206*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 131 + 14. What are the prime factors of f?\nAnswer: 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30069 is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*f + 164 = 20, -14 - 62 = -4*g - 4*f for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.64545mg in grams?\nAnswer: 0.00464545","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 329 - 307. Let v(k) = k**2 - 24*k + 56. Let y be v(f). Let d(q) = -47*q + 4. Let n be d(-4). Calculate the greatest common divisor of y and n.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (15\/(-12) - -1)\/1?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7003964 is divided by 32.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -0.1577026 + 2401\nAnswer: 2400.8422974","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -15*k + 15. Let m be c(1). Let o(u) be the third derivative of 6*u**2 + 0*u + 0*u**3 - 1\/12*u**4 + m. Let a(y) = -6*y**2. Determine o(a(s)).\nAnswer: 12*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7.5 - 1.5. Let a be 295\/236 + ((-603)\/(-132))\/(-3). Which is bigger: a or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a litre in millilitres?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 16 = 0, -3*w = 3*l - 2*w - 9142. What is the thousands digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 922 is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 h when two letters picked without replacement from {z: 2, h: 2, j: 1, x: 2, s: 1, r: 1}.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1 + -1 - (0 - 194). Let p = 311 - k. What is the tens digit of (1\/(-3))\/((-3)\/p)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -13970 + 13974. Solve 2*j - 7 = 2*o - 3, u*o + 5*j = 37 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*t - 5*o + 1760, 3*t + 7*o - 3*o = -1805. What is t rounded to the nearest ten?\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v = 2*f + 12, 2 = 9*v - 6*v - 5*f for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -1\/3, -0.1, 158\/37, 0.03, 16?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 40*h - 2. Let u be f(-1). Let k be (u\/35)\/(4\/(-10)). Let v(o) = 4*o - 1. Is v(k) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m - 4 = -f, -45*m + 47*m - 4*f - 8 = 0 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00003417 rounded to five dps?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 11704 - 528 = 0. Is (-1 + t\/4)*-2 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4762 - 4749. Suppose 7*m - 585 = 2*m. What is the greatest common divisor of m and v?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 61050 divided by -10175.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 172285 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 26058 to the power of 1\/3, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -r**2 - 28*r - 56. Calculate i(-25).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of 1077594010?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 11\/5 and (-2)\/(-5) + (-66)\/759.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-23)\/92*(-8)\/3. Solve 0*t - n*t**2 + 0 - 2\/3*t**4 + 4\/3*t**3 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a litre in millilitres?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(((sqrt(3) - sqrt(36)\/sqrt(108))**2 - sqrt(27)*-4)*5 - ((sqrt(165)\/sqrt(5))\/sqrt(11) + 0 + sqrt(192) + sqrt(3))).\nAnswer: -250*sqrt(3) - 100\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -12915397 divided by -7909\nAnswer: 1633","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2003568.\nAnswer: 2, 3, 7, 67, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zeferyyyyyuzyzz. What is prob of sequence ze?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 200 and 4880?\nAnswer: 24400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 2105 times 453.5\nAnswer: 954617.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 83 = 760\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -x**2 - 19*x**3 - 2*x**2 + 3*x**2.\nAnswer: -19*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(363) + (0 + sqrt(363))**2 + sqrt(363) + -5 + ((sqrt(363) + -1*sqrt(363) + 1 - sqrt(363))*-5)**2.\nAnswer: -528*sqrt(3) + 9458","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 53231?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*o = -43*o + 652477. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -31 - -168. Suppose 3*h - 43 = j. Let c be h\/35 + 2\/7. Solve c*g + 2*g = 20, -4*u - 4*g = -32 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -29*c**3 + 87988*c**2 - 38093906*c.\nAnswer: -174*c + 175976","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, 227\/7, -0.2 in ascending order.\nAnswer: -0.2, 0.2, 227\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -f**2. Let i = 9 - 8. Let u(n) be the first derivative of 2\/3*n**3 + 0*n**2 + 0*n + i. What is r(u(z))?\nAnswer: -4*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -817\/9 + 91. Let w be (-1)\/(-12)*(-112)\/(-21). What is a in -w*a + 0 + 10\/9*a**4 - 10\/9*a**2 - k*a**3 + 2\/3*a**5 = 0?\nAnswer: -1, -2\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17 = -2*g + 7 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -0.4, 6\/5, -1, 3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*(u\/(u*u**(1\/2)\/u))\/u)**(-1\/13))**(-3\/4)*(u**0)**9\/(u\/u**(-2)*(u\/u**(-6))\/u) assuming u is positive.\nAnswer: u**(-933\/104)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 693.5 + -693. What is the fourth biggest value in y, -1.2, -2, 0.2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -115*d + 111*d + 2693 = k, 0 = 5*d + 3*k - 3354. Calculate the highest common factor of 1296 and d.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = t + 36, -2*u - 2*t + 41 = 3*t. What is the derivative of -7*m + 4*m - 11 + u*m wrt m?\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26709.14l in millilitres?\nAnswer: 26709140","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 199252?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 49056 and 56?\nAnswer: 49056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -60 (b) -0.803 (c) -1 (d) -3.2 (e) 0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = 3*k + 144. What is the greatest common factor of k and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*b + 2 - 2 + (-b + 0*b + 4*b)*(-1 - 3 + 0))*(b**2 + 2 - 2).\nAnswer: -14*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1178736393 to the power of 1\/3, to the nearest integer?\nAnswer: 1056","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the third derivative of -m**5\/30 + 11*m**2. Let d(o) = o**2 - 5*o. Determine d(y(v)).\nAnswer: 4*v**4 + 10*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 2*x - 11 = 37, 4 = -4*x. Let r = m + 14. Let z(c) = 2*c**3 - 14*c**2 + 24*c - 73. Let t be z(5). Put t, r, -5, 0 in descending order.\nAnswer: r, 0, -5, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -j**2 - 3. Let t(o) = -11*o**2 + 17*o - 6. Let l(g) = 10*g**2 - 14*g + 7. Let z(n) = -6*l(n) - 5*t(n). Let c(r) = 4*p(r) - z(r). Give c(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.4 in -3.5, 2\/11, -0.05?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*m**6 - 2038663*m**3 - 103*m**2 + 9*m - 33491.\nAnswer: -240*m**3 - 12231978","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 329 is divided by 22?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2096 = -5*o - 2*a + 2098, 2*a - 2 = 26*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4 + -4041?\nAnswer: -4100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 57959911 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*h - 8*h + 6*h - 12*h to b*h + s and give b.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) be the first derivative of q**3\/3 + 5*q**2\/2 + 5*q + 2. Let z be t(-5). Suppose -2*p = -3*l - 0*l + 20, l - 8 = 2*p. Which is smaller: l or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -k**3 + 18*k**2 + 17*k + 37. Let x be u(19). What is the units digit of 1\/(2\/1062) - (2 - x)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*n**3 - n**3 + 0*n**3 - 3*n**4 + 15 - 17 as a + j*n**2 + q*n**3 + v*n + t*n**4 and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1 + 7*z**2 + 10*z + 7 - 6 wrt z.\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z**(2\/7))**(-27))**(10\/7))**(-4\/9) assuming z is positive.\nAnswer: z**(240\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eeegeeeeegggeeeeee. Give prob of picking 2 g.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2 - -9. Let g(d) = -4*d**2 - d - 1. Let z be g(-1). Let p = v + z. Solve 5*a - 18 + 2 = 3*o, -3*a + p = -4*o for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1542 and 0.2.\nAnswer: 1542.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -3*i - 9. Let p(m) = -m - 4. Let z = -16 - -18. Suppose 4*r - z*s + 77 + 11 = 0, -88 = 5*r + 3*s. Let u = -27 - r. Give u*p(k) + 3*d(k).\nAnswer: -2*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -344*b**2 + 10. Let s(d) = -69*d**2 + 2. What is -14*s(k) + 3*t(k)?\nAnswer: -66*k**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -x**3 - 28*x**2 + 490*x - 58. What is t(13)?\nAnswer: -617","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*j + 12. Let z be (6\/j)\/2*3. Let b(l) = -l**3 - 2*l**2 - l - 2. What is the remainder when 19 is divided by b(z)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -4*o - 143. Let p be y(-37). Let w(h) = -4*h - 3. Let s be w(-2). Find the first derivative of -6 - q - s*q - q - p wrt q.\nAnswer: -7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = v**3 + 3*v**2 - 2*v. Let p(u) be the third derivative of 0 + 0*u**3 + 1\/4*u**4 - 21*u**2 + 0*u - 1\/40*u**6 - 2\/15*u**5. What is -11*i(z) - 4*p(z)?\nAnswer: z**3 - z**2 - 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 157 - (-15 + 130\/5). Solve -140*g = -d*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6? (a) -1 (b) 0.01 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 124\/(-44) + (1 + -2)*-3?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*(h**(1\/10)\/h)\/h*h)\/(((h*h**2)\/h*h*h)\/h) assuming h is positive.\nAnswer: h**(-29\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 21*k**2. Let z(t) = -105*t - 56. Let a(w) = 21*w + 12. Let x(j) = 14*a(j) + 3*z(j). What is o(x(b))?\nAnswer: 9261*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - 119616111.\nAnswer: -119616106","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -3051, -1516, 1043, 4626?\n\"Answer: 512*a**2 - a - 3562","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7788, 7795, 7806, 7821?\nAnswer: 7840","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1591 or 27066\/17?\nAnswer: 27066\/17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -1617, -548, -5.\nAnswer: -1617, -548, -5, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.3 - 0.55. Let g = -0.9 - j. Round g to one decimal place.\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1\/4 - (-9)\/(-36). Solve -3*v + u*s = 2*s + 7, 5*s + 15 = -5*v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 485990 and 230?\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.18 - 9.88. Let f = 9 + l. Let h = -1 - -6. Which is the third biggest value? (a) h (b) f (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1577226 divided by 987.\nAnswer: -1598","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 236306446.\nAnswer: 2, 59, 131, 15287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*n + 2*s - 5 - 3, n - 1 = 2*s for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s - 5*c - 19 = 0, -745*c = 5*s - 749*c - 22 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.03, -3.3, -1, 0.12, 9\/271 in decreasing order.\nAnswer: 0.12, 9\/271, -0.03, -1, -3.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7319*k**2*v - 1054*k**2 + 72023*k*v - 6*v + 5 wrt k?\nAnswer: -14638*v - 2108","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -2*w + 2. Determine i(-8).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 14*d**2 + 24*d + 8. Let c(f) = 5*f**2 + 9*f + 3. Let y(v) = 8*c(v) - 3*l(v). Let b(r) = -7*r - 8. Calculate b(y(o)).\nAnswer: 14*o**2 - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a + 5*t + 176 - 167 = 0, -4*t + 12 = 4*a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the second derivative of y**6\/30 - 17*y**5\/10 + y**4\/4 - y**3\/3 - 2*y + 29. Find the third derivative of h(m) wrt m.\nAnswer: 24*m - 204","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 91054148 divided by -1.\nAnswer: -91054148","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7 + 12. Let u = 21 - n. Suppose 5*k - 465 = -5*q, -u*q - 5*k = -96 - 93. Is 23 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (54\/(-48))\/((-126)\/28). Which is the closest to o? (a) -429 (b) 4\/5 (c) 0.09\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-4)\/30 - (-2881)\/10965 and -9\/35?\nAnswer: 595","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 - (5 - (-7 - -9))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m**2 + 15*m + 14 = 0. Calculate m.\nAnswer: -14, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that -2*g**4\/11 - 50*g**3\/11 - 86*g**2\/11 + 138*g\/11 = 0.\nAnswer: -23, -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 7219.17301 rounded to the nearest one thousand?\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**5*s*s*s**(1\/4)*(s*s*s*s\/((s**3*s)\/s)*s*s)\/((s\/(s**(-4)*s))\/s)*(s**(-6)\/((s*s**(-7)\/s)\/s))**44 assuming s is positive.\nAnswer: s**(381\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -5*((-24)\/160)\/((-2)\/6)*8?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 10599353?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 73\/6231 and -33\/8308.\nAnswer: 24924","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 195 and 224133.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3112783\/319 + 9758. What is the common denominator of -28\/891 and j?\nAnswer: 25839","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 688779 and 41832.\nAnswer: 457349256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -41 - -27. Let a = 40 + -7. Let i = r + a. Calculate the greatest common factor of i and 95.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 732159, 1464317, 2196475, 2928633, 3660791?\nAnswer: 4392949","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/3, -72, -0.9423, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -56*a - 91. Let n be l(-5). Let k = 234 - n. Calculate the highest common factor of k and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20711 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gz when two letters picked without replacement from {g: 8, e: 4, z: 2, y: 2}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*o + 210 - 30. What is the smallest common multiple of 110 and o?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 14*m. Let n(z) = -32*z. Give b(n(c)).\nAnswer: -448*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 225318 and 94?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -334*w = 17073 - 15069 for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 48 + -7. Suppose -4*d = -k - 31. Suppose 0 = 2*w - 3*t - 31, 5*w + 4*t = -d + 153. List the prime factors of w.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z when two letters picked without replacement from {z: 12, f: 1}?\nAnswer: 11\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5 and 80210.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a day in seconds?\nAnswer: 32400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the second derivative of -r**7\/1260 + r**6\/720 - 11*r**2\/2 + 16*r. Let g(t) be the first derivative of o(t). Let g(q) = 0. Calculate q.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = 10 + 2. Solve -5*c = -t - 8, -3*t = k*c + 5 - 0 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h**2 + 37*h - 154. Let a be i(32). Solve 4*d = 0, l + 5*d - 5 = a*l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00001944017745 rounded to seven decimal places?\nAnswer: -0.0000194","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 2*y + y - 13 = 0, -4 = -4*h - 4*y. Let r(d) = -68 - d + 68 - d**3 - h*d**2. What is the units digit of r(-5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*l + 5*w, -w = 2*l - 5*w. Let v(d) be the third derivative of 1\/30*d**5 - 1\/120*d**6 + 2*d**2 - 1\/3*d**3 + 1\/8*d**4 + l*d + 0. Determine v(3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by 16.\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = w**2 + w - 1574. Let p be i(0). Let t = p - -11043\/7. Let m = 1\/291 - 12520\/2037. Calculate the common denominator of m and t.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 1. Let r(m) = -52*m**5 + 2*m**3 + m**2 + 10. Let q(i) = -r(i) + 4*s(i). Find the third derivative of q(d) wrt d.\nAnswer: 3120*d**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -18213, -72945, -164165, -291873?\n\"Answer: -18244*n**2 + 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1596 - -6658. What is the thousands digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 569041 to the power of 1\/2, to the nearest integer?\nAnswer: 754","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*a + 69*a - 15*a + 1872 = 0 for a.\nAnswer: -72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -342*g**2 + 6*g - 11822 wrt g?\nAnswer: -684*g + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 311, 4, 3, 5 in descending order.\nAnswer: 311, 5, 4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 507 minutes before 5:53 AM?\nAnswer: 9:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 3498 divided by -6?\nAnswer: -583","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -342.0181 - -342. Let j = -39.6819 + x. Round j to the nearest 10.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 6.310422 days?\nAnswer: 9087.00768","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:26 AM and 10:06 AM?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) be the first derivative of 0*m + 4 + m**3 + 0*m**2 - 3\/4*m**4. What is the third derivative of n(q) wrt q?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n*n**(-1)*n)**20*(n\/(n\/((n\/(n**(-7\/3)\/n)*n)\/n)))\/n**(-29) assuming n is positive.\nAnswer: n**(220\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 77617, 155378, 233293, 311368, 389609, 468022, 546613?\nAnswer: 625388","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 0*c + 0*c + 165*c**2 - 168*c**2. Suppose -5*v + 5*z = -10*v + 125, -5*z = -5. Let i(w) = 24 - v - w. Calculate i(l(y)).\nAnswer: 3*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -16888 greater than or equal to 47?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*q**3 + 372*q**2 + 9180*q + 24300.\nAnswer: 4*(q + 3)*(q + 45)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:08 AM and 10:37 AM?\nAnswer: 89","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*t = 22*t - 5432. Is t a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5819 - -5824. Solve 0 = -b*w + 5 + 20 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 93278387 a multiple of 2361?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -q**3 + 7*q**2 - 8*q + 8. Suppose -5*h - 2*w = w - 112, 4*w = 3*h - 44. Suppose 5*d - l = 31, -4*l = -3*d - 2*l + h. What is c(d)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*k + 32*k - 2*o = 35618, -4*o - 35600 = -4*k. Calculate the remainder when k is divided by 110.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2.9673 + -0.0327. Let a = -179 + 179. What is the nearest to 3\/5 in a, -2, m?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*r**4\/5 + 430778*r**3\/5 + 17527413*r**2\/5 + 12176722*r\/5 - 983984 = 0 for r.\nAnswer: -61499, -40, -1, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2975 - 2646 = -68*j - 1813 for j.\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 41 divide 12462811?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 10907 and 4195.\nAnswer: 54535","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -7*n**3 + 2*n + 1. Suppose c + 3*d = 12, 8*c - 16 = 3*c - 4*d. Let b be (-3)\/12*c + -1. Give v(b).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 2*x**2 - 4*x + 18 - 5*x**2 + 2*x**2 + 3*x. List the prime factors of k(0).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1*10\/15*-3*-1\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4*3\/(-3)*63*58\/1827?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6359 + 12971 = 10*a. What is the tens digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -570 + 583 + (-5 + -73 - 8)?\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = x**3 + 31*x**2 + 106*x - 55. Determine c(-27).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = m**2 + 3*m + 2. Let a = -35 + 86. Suppose -3*l + a = -5*d + 19, -4*l + 4 = 3*d. Suppose 7 = -l*y - 13. Calculate w(y).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 + 17 = 5*k. Suppose k*f - 70 = -f. Calculate the remainder when 26 is divided by f.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -19*u**2 + 7*u - 7. Let t(g) = -3*g + 80 + 83 + 10*g**2 - 338 + 89 + 89. Calculate -2*n(w) - 5*t(w).\nAnswer: -12*w**2 + w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1308268798 a multiple of 290?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 37313796253 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 7\/(-2)*(-36)\/(-63)*-1. Suppose 0 = 4*k + u - n*u - 1592, 3*u = -4*k + 1608. What is the tens digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1988766 and 116610.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a**(-5)*a)\/a**(2\/3))\/(a\/a**(-6)*a**(1\/2)))**(2\/11) assuming a is positive.\nAnswer: a**(-73\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*w**3 - w**3 + w + 3538*w**2 + 3 - 3510*w**2 to the form u*w**3 + g*w**2 + n + h*w and give n.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1576)\/(-11820))\/(66\/(-270))?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6277327 is divided by 209244.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 21 + -11. Let j = -2 - -19. Suppose 3*v + 5*z = 2*v - j, -65 = -5*v + 5*z. What is the least common multiple of v and q?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -881571 + -0.3.\nAnswer: -881571.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (q**3 + 4*q**2 - 4*q**2)*(47*q - 47*q - 65*q**2 + (-2*q + 2*q + 9*q)*(0*q - q + 5*q)).\nAnswer: -29*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 32.6885+19913\nAnswer: 19945.6885","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4.3 + -4. Let s = 0.12 + 0.48. Let g = s + -0.8. Which is the biggest value? (a) g (b) i (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2925463 or -8?\nAnswer: -2925463","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 5155.741mm in centimeters?\nAnswer: 515.5741","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.049, 5, 7, -3\/7, -2, -0.1 in decreasing order.\nAnswer: 7, 5, 0.049, -0.1, -3\/7, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 420\/6060*(-30)\/105.\nAnswer: -2\/101","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 139387.85 to the nearest 100.\nAnswer: 139400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 243379 is divided by 665?\nAnswer: 654","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3 + 37. Suppose 0 = c - 2*c + 5, -3*k + c = -31. What is the remainder when h is divided by k?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*z**3 - 2*z**2 - 73*z - 20639 wrt z.\nAnswer: -6*z**2 - 4*z - 73","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 164803447801 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*f, 2*a + 15*f = 10*f - 12 for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 18154785 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 29 - 16. What are the prime factors of c?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (0*((11 - 19) + 7))\/(0 - -1). Solve -3*n + 4*x + 3 = p, -n = -4*x + 7 - 0 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*p = 20 - 42 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((sqrt(33) - sqrt(1188))*-3 - -1*(sqrt(33) - sqrt(297) - sqrt(33)))\/(-6*(sqrt(30) + sqrt(90)\/sqrt(3))\/sqrt(10)*2).\nAnswer: -2*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 5.2 * 17\nAnswer: 88.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/(-2))\/((187\/110)\/(-17)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in -5, 0.03, 13\/5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1865517 is divided by 2050?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i - 6 = -p + 7, 0 = -5*i + 5*p - 25 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 30.5 + -1.14535.\nAnswer: 29.35465","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence up when two letters picked without replacement from {p: 1, u: 1, o: 2, k: 1, c: 2}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 4, d: 2, o: 8}. Give prob of sequence www.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 290 + 0*q - 235 - 2*q + 5*q - q.\nAnswer: 2*q + 55","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1242453 is divided by 399.\nAnswer: 366","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*b**2\/5 + 228*b\/5 + 1449\/5.\nAnswer: 3*(b + 7)*(b + 69)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -7*b**2*c**2 - 142*b**2*c - 94*b*c**2 + 14*b*c wrt b.\nAnswer: -14*c**2 - 284*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the first derivative of -447*d**2 - 2*d - 139. Let r(j) = -2*j**2. Give r(x(v)).\nAnswer: -1598472*v**2 - 7152*v - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.5, 32, -1, 2\/137, -11.5?\nAnswer: -11.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 810373 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: List the prime factors of 398245.\nAnswer: 5, 23, 3463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.0003 - 4.\nAnswer: -3.9997","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = c + 1. Let m(l) = 1 + 12*l - 3*l - 10*l. Let t(r) = -m(r) + 4*y(r). What is t(-3)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -34 + 32. Let f be 953 - (6\/3)\/r. Suppose -3*u + f = 21. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 5 = -v + 4, 4*v - 5*z = 10. Which is smaller: v or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3 + -3 + 10\/(2\/1). Suppose -3*b = u - 0*u - 3, 5*b = p*u - 35. What is the highest common divisor of u and 264?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 - 2 + 3*c + 1 + (0 + 3 - 5)*(-47*c - 162 + 162) - 1 + 1 - c + 2*c - 6*c + 2*c + (4*c + 2*c - 4*c)*(1 + 2 - 1) + 0*c + 5*c - 2*c.\nAnswer: 101*c + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**3 + 477*q**2 - 957*q + 479.\nAnswer: (q - 1)**2*(q + 479)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -23427 + 4?\nAnswer: -23423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1.2 != -3766780?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(91)\/(sqrt(252) + sqrt(7)) - (sqrt(325))**2*-2.\nAnswer: sqrt(13)\/7 + 650","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -37002.494092 plus 19?\nAnswer: -36983.494092","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -32*h + 31*h - 2*h**2 + 2*h**3 + 0*h**2 to m*h**3 + z*h**2 + w + i*h and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -1\/4677311?\nAnswer: -1\/4677311","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cgc when three letters picked without replacement from {g: 1, c: 2}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -5*k**3 - 6*k**2 + 9*k + 6. Let d(u) = u**3 + 4*u**2 + 5*u + 5. Let q be d(-3). Let j(p) = p**3 + p**2 - p - 1. Determine q*m(h) - 6*j(h).\nAnswer: -h**3 - 3*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -2*j**3 - 3*j**2 - j + 1. Let o(m) = -170*m**3 - 2*m**2 - m + 1. What is 2*b(u) - 2*o(u)?\nAnswer: 336*u**3 - 2*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pttprptt. Give prob of picking 3 p and 1 t.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 126624 and 144?\nAnswer: 379872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 38495*q**4 + 1481*q + 2 wrt q.\nAnswer: 461940*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1043, -1096, -1185, -1310, -1471, -1668, -1901?\nAnswer: -2170","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 minutes before 1:12 PM?\nAnswer: 12:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 plus -6825331?\nAnswer: -6825332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zyyzxxxzxxzzx. Give prob of sequence yxyx.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4\/10405 - -24198\/8813035. Suppose 0 = -8*r + 240 - 232. Which is smaller: r or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 910, 858, 808, 766, 738, 730?\n\"Answer: u**3 - 5*u**2 - 44*u + 958","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 57138254?\nAnswer: 2, 28569127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 13*x**2 + 3*x + 1. Is 3 a factor of o(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/19 (b) 4 (c) 1\/23 (d) 0 (e) -17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1, -1115288, -1\/8?\nAnswer: -1115288","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 58 * 8\nAnswer: 464","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*r - 448 = -3*r. Let j be (r\/18)\/(-2) + 4\/18. Solve k = 5*v - j, -v + 3*v = 0 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.0046 * 9284\nAnswer: -42.7064","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 c when three letters picked without replacement from {c: 9, p: 3}?\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 250 minutes after 10:36 AM?\nAnswer: 2:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 56, 68, 88, 116?\n\"Answer: 4*m**2 + 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*k + 17*k - 33*k.\nAnswer: -8*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 45 + -40. Suppose -2*a + 16 = m*h, 0 = -3*a + 2*a + 2*h - 1. Suppose 153 = 3*s + 5*o, -a*s + 153 = -o + 4*o. Is 17 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/l**(2\/5))\/l*(l\/((l*((l**(9\/4)*l)\/l)\/l)\/l))\/l assuming l is positive.\nAnswer: l**(-33\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.5 and -3.597.\nAnswer: -1.7985","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:25 AM and 1:25 PM?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 0*-0.135\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-6)\/(-12) + (-21)\/(-6). Solve 0 = -y - f*v - 13, v - 2*v - 1 = y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.19 in -3, 4, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 66*z + 88. Let i(b) = -b - 1. Suppose 305*c - 16 = 158*c + 163*c. Give c*n(j) - 88*i(j).\nAnswer: 22*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*t + 6*t**3 + 7 + 1 - 2*t - 9 to the form k*t + o*t**3 + v + u*t**2 and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*r + 18 - 3 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 14 and 4?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -31, -56, -91, -142, -215, -316, -451, -626?\nAnswer: -847","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -30*k + 205. Let u be s(7). Which is the biggest value? (a) u (b) -3 (c) -2\/177 (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -9 - -12. Let b be 4\/(-14) - 0 - 0. What is the closest to 0.1 in 2, b, q?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the second derivative of -3*q**8\/56 - q**4\/6 + 7*q. Find the third derivative of n(c) wrt c.\nAnswer: -360*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 40\/18 + (-2)\/9. Let j be 4\/(-6) - 51\/(-9). Solve g + 4*n = -u*g - 11, -j*g = -3*n - 1 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (2 + -6)\/4 + 64 is divided by 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2 + 7 - 2) + 3. Let g be ((-2)\/m)\/((-2)\/18). Suppose -5*d = 0, -5*o + g*d = -98 + 8. Does 15 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/a**(-2))\/a*a*a**(-5\/14))\/((((a**(1\/14)*a)\/a)\/a)\/(a*a**(-5\/6))) assuming a is positive.\nAnswer: a**(157\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n - 19460*l = -19462*l + 24, -5*n - 3*l = -36 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 10, d: 1, a: 6}. What is prob of picking 4 p?\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43 = 6*y + 23. What is the common denominator of y and -1 + (-51)\/6 + 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -c**3 - 5*c**2 + 11*c - 9. Suppose 3 - 12 = r. Let u be b(r). Suppose 38 = -2*a + u. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-525*w**2 + 169 + 1047*w**2 - 517*w**2)*(2 + 3 - 6)*(3*w + w - 2*w) as b + a*w**2 + t*w + q*w**3 and give t.\nAnswer: -338","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -0.074 + 3.8\nAnswer: 3.726","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1564 (base 7) to base 15.\nAnswer: 2c4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - -24) + (-43 - -1)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 - (17 + (-7 - -3 - 0)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -4\/15 at most -15892?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -26 + (19 + -22 - -21).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 38 + -34. Suppose 2*y = -2*l + 648, n*l + 1081 + 512 = 5*y. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(4*(2*sqrt(50) + sqrt(2)) - 3*sqrt(200)*2).\nAnswer: 80*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 30 in 4, 9, 0?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 5. Let q(g) = g + 6. Let l(o) = -4*q(o) + 5*z(o). Suppose 0 = 4*d - 4 - 4. Let s = 3 - d. Determine l(s).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 5\/(-3)*6\/(-5). Suppose -g*n = -6, 3*q = n + n + 6. Let a(j) = -j + 10. What is the remainder when a(2) is divided by q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00015825129811 to seven decimal places.\nAnswer: -0.0001583","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 139\/2860 and -77\/1300.\nAnswer: 14300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 3*r + 0*r = 81, 2*r = -5*k - 149. Let n = -50 - k. Let j = -7 - n. Solve -t - 2*t = -v - 9, 4*t - j = 2*v for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 57*i = -308*i + 2920 for i.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = w - 102, -w - 18 = 4*t - 5*t. Suppose 7*f + 4 = -2*r + 2*f, 0 = 4*r + 3*f - t. What is the units digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*i**5\/7 - 59600*i**4\/7 - 17022*i**3 + 161780*i**2 + 4052648*i\/7 + 3575760\/7 = 0. Calculate i.\nAnswer: -29798, -3, -2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5306162090.\nAnswer: 2, 5, 503, 1054903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(6)\/sqrt(8) + 5 + 0 + sqrt(3) - 6*(sqrt(3) - sqrt(6)\/sqrt(2))*-6)*-5*6)**2*4.\nAnswer: 54000*sqrt(3) + 114300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51 = -3*d + 5*z + 18, d - z = -9. Calculate the remainder when ((-20)\/d - 0)*3 is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1023 rounded to the nearest one hundred?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the second derivative of 3*t + 0 - 7\/2*t**2 - 1\/3*t**4 + 0*t**3. What is the first derivative of n(o) wrt o?\nAnswer: -8*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-4)\/o**1)**30\/(((o\/((o*(o*o**(2\/13)*o)\/o)\/o))\/o*o**(-3\/7))\/(o*(o*(o**1\/o)\/o)\/o)**40) assuming o is positive.\nAnswer: o**(-13506\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:40 AM and 9:32 AM?\nAnswer: 472","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 144\/(-4)*13\/182*(-7)\/21*-49?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 535128.\nAnswer: 2, 3, 11, 2027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1c + -11?\nAnswer: b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -18670 divided by -234\nAnswer: 9335\/117","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 43750003 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2669?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (3 - 20\/8) + 26\/4. Let m(x) = -x**3 + 5*x**2 + 2*x - 3. Let u be m(5). Find the second derivative of -z - 2*h + u + h**5 wrt h.\nAnswer: 20*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + n + 118 = 21, 4*u = -4*n + 140. What is the remainder when u is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2732 divide 94641944?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 312*m**2 + 114*m**2 + 421*m**2 + 122*m**2 - 4.\nAnswer: 969*m**2 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5561505 to the nearest integer?\nAnswer: 177","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1.6 - -1.7. Which is the second smallest value? (a) 5 (b) z (c) 21\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 178*c - 2*c + 40*c + (-c + 0 + 0)*(-2 - 2 + 3) - 2*c + 0 + 0.\nAnswer: 215*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2489 greater than or equal to 57265\/23?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) be the first derivative of -2*f**7\/7 - 207*f**4\/4 + 5*f**3\/3 - 26*f**2 + 465. What is the third derivative of r(j) wrt j?\nAnswer: -240*j**3 - 1242","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -10 (b) -2\/11 (c) -0.01 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 24 by -52.\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.002297712 to six dps.\nAnswer: 0.002298","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.01 + -0.01. Let m = 178\/9 + -20. What is the closest to 2\/5 in -3\/4, m, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 2*u = -68. Factor -u*f**2 - 44*f**3 - 12*f**2 - 41*f**2 - 24*f - 8*f**4 + 19*f**2.\nAnswer: -4*f*(f + 2)*(f + 3)*(2*f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 963.1152cm in meters?\nAnswer: 9.631152","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1708\/807 + 390\/269. Which is the third smallest value? (a) 1\/648 (b) h (c) -1\/2 (d) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -r**4 + 3*r**3 + 356*r**2 - 144823*r?\nAnswer: -12*r**2 + 18*r + 712","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 159417*-5.39.\nAnswer: -859257.63","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 44321 a multiple of 47?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 13, 0, -4, -503 in increasing order.\nAnswer: -503, -4, 0, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 5*y + 2*o, 0 = -4*y + 6*y + 5*o - 6. Differentiate -26 - 466*s**4 - y*s**2 + 488*s**4 + 3*s**2 wrt s.\nAnswer: 88*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 8408196*p**3*z**2 - 5452*p**3*z + 4*p**3 - p**2*z**2 - 2*p**2*z + 2*p**2 - p + z wrt z?\nAnswer: 16816392*p**3 - 2*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 110716117.\nAnswer: 110716117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.0538 - -0.2462. What is the biggest value in f, 31, 0.4?\nAnswer: 31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -2, -17 in ascending order.\nAnswer: -17, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 50608903\/8043 + -44046\/7. Let u = t + 6955\/52854. Let b = u + 315\/23. What is the common denominator of b and -25\/2?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.11 + -0.61. Let s = -300 - -304. What is the nearest to 0.12 in s, 0.4, c?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 34? (a) 1\/2 (b) 1\/3 (c) -1\/7 (d) 7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the second derivative of -719*b**8\/14 - 463*b**4\/6 - b**3\/3 + 5*b - 165. Find the third derivative of c(d) wrt d.\nAnswer: -345120*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 303 (base 11) in base 8?\nAnswer: 556","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3 + 3.03. Let g = -2.97 - i. What is the biggest value in 0.3, g, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 83 = -7*m + 3*m, -m = 4*c - 317. What are the prime factors of c?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 29748360 and 5495.\nAnswer: 208238520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -2*x**3 - 2301*x**2 + 5827*x + 2731392. Determine u(-1152).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, 0.2, 4, 30, -0.1, 1.42 in decreasing order.\nAnswer: 30, 4, 1.42, 0.4, 0.2, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 76, 0.4, 0.5 in ascending order.\nAnswer: 0.4, 0.5, 5, 76","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -45742, -45744, -45756, -45784, -45834?\nAnswer: -45912","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 410547366 and 270.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -11 - -19. Suppose -5*g + z = -3*t, -48 + 16 = -4*t - 4*g. Let j(v) = -2*v + 16. Let y be j(7). Solve 0 = -p - t, -3*o - y*o + 3*p - 8 = 0 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 11 - 7 = -w, -5*l = 5*w - 100. What is the smallest common multiple of w and 70?\nAnswer: 770","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -5*q, 3*f = 5*q + 36 + 23. What is the tens digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-17993)\/(-1197) + (-4)\/126\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 409 - 290. Calculate the greatest common factor of 17 and k.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5035, -4, 3700 in decreasing order.\nAnswer: 5035, 3700, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 8\/62571 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 76 and 1344.\nAnswer: 25536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:54 PM and 7:08 PM?\nAnswer: 194","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -811.65 rounded to the nearest 100?\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*s**2 - 75 - 8*s**2 - 133 - 2*s**3 to w*s**3 + u + p*s + o*s**2 and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (-1*sqrt(88)*1 - sqrt(88)*2*3)\/(2*(sqrt(88)\/(-2*sqrt(11)) + sqrt(8))).\nAnswer: -7*sqrt(11) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 38189?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(126) - (6*(-2*sqrt(126) - sqrt(126)) - sqrt(126)))\/((sqrt(9) - sqrt(144))*-5 + sqrt(9)))\/(-2*((sqrt(72)*-2 - sqrt(72)) + sqrt(72))).\nAnswer: 5*sqrt(7)\/96","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -58 - 86 = -8*r - 10*r for r.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 35 + -44. Let t be (-1*1)\/(w\/162). Let a(d) = d**3 + 17*d**2 + 51*d + 28. Let l be a(-13). Solve s - 5*s - l = 5*y, 2*y + 2*s = -t for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1326 a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (5 - -4 - 13) + (0 - -7)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -482004 + 1033?\nAnswer: -480a81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 5\/((-15)\/(-216))*1. What is the highest common divisor of p and 48?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = l**3 + 5*l**2 + 3*l + 12. Let v be b(-5). Let o(u) = 12*u + 8 - 3 + 16*u - 1. Let f be o(v). What is f rounded to the nearest 10?\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 60\/45*(38\/16 + -2)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 646 bigger than 646?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = f**3 - 16*f**2 - 15*f + 2. Let u be t(17). Suppose 0 = -5*g + u - 6. Calculate the lowest common multiple of 26 and g.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -y**3 + 8*y**2 + 7*y - 12. What is the tens digit of m(8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1162b - a?\nAnswer: 11621","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**1)**(1\/60)*p**(2\/33)*p**(1\/3) assuming p is positive.\nAnswer: p**(271\/660)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = r**2 + 8*r - 20. Let y be m(-13). Let k be 3*5\/(y\/51). Solve 3*x + k = -3*n + 8*n, 0 = 4*n + 5*x + 16 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 2*t = -160, 3*m - 2*t = 144 + 101. Let d = 84 - m. Let f(g) = 40*g. Give f(d).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*l**3 + 0*l**3 - l**3)*(l + l + l) + l**4 - 5*l**4 + 0*l**4.\nAnswer: 5*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -d**3 + 0*d**4 - 2*d - 28*d**2 - 4*d**4 + 29*d**2 + 2*d**4 to the form o*d**4 + n*d**2 + t*d**3 + i + z*d and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -22 - 436?\nAnswer: -458","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 8 + -5fd4?\nAnswer: -5fcc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 428 minutes before 8:55 PM?\nAnswer: 1:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1 (b) 3 (c) -24 (d) -14 (e) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 115 (base 7) to base 4.\nAnswer: 331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -5*k**2 - 9*k + 4. Let m(j) = 4*j**2 + 8*j - 3. Let f = -5 + 9. Let w(z) = f*m(z) + 3*i(z). Determine w(-6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = o**3 - 4*o**2 - o - 7. Calculate t(4).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 312*i - 146 with respect to i.\nAnswer: 312","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 12247 + -12247.4. Which is the third smallest value? (a) 4\/9 (b) -5 (c) u (d) 0.2 (e) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + ((sqrt(117) + (3 + sqrt(117)*-2)**2 + sqrt(117))*-2 - (-3 + (sqrt(104) + sqrt(104) + (sqrt(104) - sqrt(104)*1))\/sqrt(8))*-1).\nAnswer: -956 + 62*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 1\/4 (b) -2\/35 (c) -1\/4 (d) -1.28 (e) -0.2 (f) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -1288\/144615?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -756.653 rounded to the nearest ten?\nAnswer: -760","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-88)\/44 - 122\/(-2). Suppose -36 = 62*j - l*j. Sort -2, j, -1.\nAnswer: j, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 65\/36 and -17\/7720.\nAnswer: 69480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -27*g + 16. What is q(2)?\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 6 = 6. Let h = 6 - a. What is the units digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 168 and 1946.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10314 + -240432?\nAnswer: -230113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 21955716*n**4 - 2*n**3 + 525340246 wrt n.\nAnswer: 87822864*n**3 - 6*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -945 - -633. Let c = 309.904 + a. Let b = c + 0.096. What is the closest to b in -3\/4, -5, 0.3?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -171\/791 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = -0*j. Suppose -10*u + 7*u - 15 = j. Let o(t) = t**2 + 4*t + 2. Determine o(u).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3138 and -0.4.\nAnswer: 1255.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6 + 1 - -17) + -2?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16650*l**3 + 16816*l**3 - 33453*l**3 - 2*l**2.\nAnswer: 13*l**3 - 2*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a millisecond in nanoseconds?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*m = -17*m + 113*m. Let t = -14\/855 + 5711\/400995. Is m >= t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 - (-6 - (-6 - -7 - 0))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00042283645 to 5 dps.\nAnswer: 0.00042","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ao when two letters picked without replacement from zkisaaos?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 i when two letters picked without replacement from pki.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*h - 5*j - 0*j - 10, -3*h - 4*j + 27 = 0. Suppose 4 = -k + h. What is the hundreds digit of (k - (-6)\/(-4))*-206?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) be the second derivative of -k**3\/6 - 9*k**2\/2 + k. Suppose -4*x - 4*i + 2*i = 18, -5*x - 16 = -4*i. What is j(x)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 321028 is divided by 49.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.1, 2\/1337, 9, -2\/43, 18?\nAnswer: -2\/43","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 7070 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3790 - 3754. Solve -d = 171*j - 159*j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1235900 = 3630*n + 5386*n + 2799*n + 2725*n for n.\nAnswer: 85","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 2*z**3 - 40*z**2 + 25*z + 104. Determine m(19).\nAnswer: -143","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 429000 = 4*g + 7*g. Round g to the nearest 100000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -370665288\/5 or -74133058?\nAnswer: -74133058","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 1 + 1)*(-13*a**3 - 50*a**3 - 50*a**3) + 5*a**3 - 7 + 7 + (1 - 1 + a)*(3*a**2 - a**2 - 3*a**2).\nAnswer: 343*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 - 2 + 100*j + 6 - 85*j.\nAnswer: 15*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -h**3 - 4*h**2 + 3*h - 7. Let g be p(-5). What are the prime factors of (78\/10)\/(g\/135)?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1971719?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 99550 is divided by 488.\nAnswer: 486","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does -39325510 = -39325511?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out -787 * -0.07.\nAnswer: 55.09","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) be the second derivative of 2*v**3\/3 + v**2\/2 - v + 123. Let o be 2\/(-8) + 21\/4. Let i(r) = -9*r - 2. Calculate o*b(p) + 2*i(p).\nAnswer: 2*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (6 - (-2 - -9)) + 2\/(-4). Which is the closest to -3? (a) u (b) -0.5 (c) 4\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*c + 4*c - 5*c)*(3 - 3 + 3) + (c + c - 4*c)*(-1 + 1 - 2).\nAnswer: c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 796398098?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = -3*j + 322, -2*y - 543 = -0*j - 5*j. Let u be (900\/(0 - 3))\/(-1). Let b = u - j. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -420*q**2 - 1111*q + 386*q**2 + 1119*q + (-q - 5*q + 5*q)*(4*q - 4*q - q).\nAnswer: -33*q**2 + 8*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/14, -4\/5, 0.85, -2\/9?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h - 1 = 4*x, 0 = -4*x + h + 7 + 2 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3586 + -6852. Suppose -3*o + 5*b - 2217 = 0, -3*o + 7*o + 5*b = -2921. Let u = o + v. Round u to the nearest ten thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19539 a multiple of 155?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 2*n - 22 = 0. Let q = n - -31. Let x = -5 + q. Solve x*t + 35 = -5*o, 5*o - 11 = 4*t + 2*o for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 11811 + -11812.2. Which is smaller: r or 30?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 - (14 - 7\/(14\/6)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7 - -4. Let f(q) = 5*q - 6. Let m(g) = 4*g - 5. Let w(r) = -r**2 - 3*r + 3. Let l be w(-4). Let j = l - -5. What is h*f(x) + j*m(x)?\nAnswer: x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 219 + 87. Let l = u + -222. Does 11 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the first derivative of 2*c**3\/3 + 3*c**2\/2 + 3*c + 4. Let g(y) = -y - 1. Let a(k) = k + 1. Let i be a(3). Determine i*g(r) + b(r).\nAnswer: 2*r**2 - r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*p - 14*p - 30 = 0. Is 6 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by 8.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hj when two letters picked without replacement from {j: 7, x: 1, z: 1, h: 3}?\nAnswer: 7\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 45 - 46. Suppose -4*q + 2*y + 22 = 0, q + 4*y + 12 = -5. Sort q, 0, v in descending order.\nAnswer: q, 0, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -20*a*c**4 - 2*a*c**3 + 2*a - c**3 - 125 wrt c?\nAnswer: -80*a*c**3 - 6*a*c**2 - 3*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that -6*y**5\/5 + 272*y**4\/5 - 3254*y**3\/5 + 756*y**2 + 1144*y\/5 - 1936\/5 = 0.\nAnswer: -2\/3, 1, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:35 AM and 8:15 AM?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 26272\/821*-8*(-4)\/512.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -33100 (base 4) to base 3.\nAnswer: -1100011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*l + 6*l + 6 = 0. Let t(a) = -2 - 7*a + 24*a**3 + 6*a**l + 2*a**2 - 25*a**3. Determine t(7).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 656?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Product of -53 and -286.\nAnswer: 15158","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m + 3*p - 12 = 0, -3*m = -2*m + 3*p - 8 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(-6)*(-3)\/2 + -5?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3\/(-4)*(-80)\/110. Let u = -209 - -113. Let z = u + 99. Which is the second smallest value? (a) z (b) 1 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1*-2 + (-51448)\/(-23540). Let y = 2\/535 - g. Suppose 0 = 3*r + n - 2, 5*r - r - n = 5. Is r bigger than y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-19)\/(-3) + 8\/(-6). What is the nearest to -2\/5 in -0.5, -2\/13, g?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -27580.9 - -27581. Suppose -5*a = -a + 20. What is the nearest to w in -3, a, -4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -45 by 18737.\nAnswer: -45\/18737","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 21139 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2*(-5)\/(-4)*2. Suppose 29 = o + 3*a + a, 0 = -x*o - 4*a + 65. What is the units digit of o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*z - 7*z. Let k = z + 1. Let q(r) = 30*r**3 + 2*r - 1. Is q(k) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-105*(-206)\/205485)\/((-2)\/(-38))*2\/108.\nAnswer: 1\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 22193 - 16497. Is z even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 4*n**2 + 9*n - 5. Let v be 1\/(-3)*-9*1. Suppose 2*p = -v*p + 85. Calculate the remainder when y(-5) is divided by p.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/(k\/((((k**1*k*k)\/k)\/k)\/k))*k)\/k*k*k*k\/((k*k**(-5\/2))\/k)*k)**(-2\/47) assuming k is positive.\nAnswer: k**(-13\/47)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36*g + 16*g - 47*g.\nAnswer: 5*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from daaaaaakdakakaakaak. What is prob of sequence kkda?\nAnswer: 5\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3906124?\nAnswer: 2, 17, 31, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of (-6)\/45 - 951\/(-45) and 3.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -14649 - 68?\nAnswer: -14717","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1 - -9. Suppose d*l - 24 = 4*l. Suppose -4*f = c - l, -c - 2*f = -0*f - 4. Solve 0 = 3*r - c*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) be the first derivative of 14*i + 1\/6*i**4 + 1\/90*i**5 - 3 + 5\/9*i**3 - 25\/9*i**2. Let v(w) be the first derivative of d(w). Factor v(m).\nAnswer: 2*(m - 1)*(m + 5)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10795900 rounded to the nearest 1000000?\nAnswer: 11000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 35437 - 34077. Calculate the greatest common divisor of b and 1160.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 38 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.01689 - -0.51689. Suppose 2*l - 5*c = -3*l - 60, -4*l + 5*c = 47. What is the biggest value in j, l, -1\/2?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 637 at least as big as 665?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 179675?\nAnswer: 5, 7187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -378016, -756119, -1134224, -1512331?\n\"Answer: -c**2 - 378100*c + 85","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1 - (-2 - -1)*1. Let h = 4 + j. Let o(p) = -h*p**3 + 7*p**3 - 6 - 6*p**2 - 2*p**3. What is o(-6)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 396 - 13858\/35. Which is the third smallest value? (a) 0.5 (b) t (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*v + 0*v - 6*v - 9*v to j*v + g and give j.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 32343.\nAnswer: 3, 10781","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w + 1 = o, -w - 7 + 3 = 0 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -251800*m**3 - 7*m + 4389022 wrt m.\nAnswer: -755400*m**2 - 7","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5940593 to the nearest integer?\nAnswer: 181","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 take away -152?\nAnswer: 151.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -559 - -1306. Let l = -743 + p. Solve -w - 3*w = 4, h - l*w - 5 = 0 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 45*g**2*l + g**2 + 2389*g*l - 242*g + 2*l - 106 wrt l?\nAnswer: 45*g**2 + 2389*g + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -2985, -5410, -7703, -9858, -11869, -13730, -15435?\n\"Answer: d**3 + 60*d**2 - 2612*d - 434","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 124 a factor of 4419856?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1680 to the power of 1\/4, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/4 of a litre in millilitres?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*4*(-1)\/6*3.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 104 + -51. Let o = -2 - -2. Suppose 4*r - 47 = -4*q + r, o = 5*q - 2*r - t. Calculate the highest common divisor of 11 and q.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 59130, 118428, 177726, 237024, 296322?\n\"Answer: 59298*c - 168","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 2*m + 1. Let w be u(1). Suppose -5*d - 5*s = -45, s + 3*s = w*d - 55. Calculate the greatest common divisor of 52 and d.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 40 + 76*j + 32 - 62. Let y be g(-2). Is -141 > y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = 5*f + 2 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -61 (base 12) in base 14?\nAnswer: -53","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 55 is divided by 18.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*g**3 + 0*g**3 + 5*g**3)*(-36*g + 46*g - 137*g + 48*g)*(-4 + 1 - 6).\nAnswer: 4977*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 smaller than -35\/44?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -b2e60c - -1?\nAnswer: -b2e60b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -k. Let b(g) = -8*g**3 + 4*g**2 + 3*g - 3. Let o be b(-2). Let p = o + -68. Let u(i) = i**2 - 8*i**2 + i**2 - p*i**2. Give u(h(l)).\nAnswer: -9*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 217 to the power of 1\/3, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-765*k - 772*k + 1527*k)*(3*k - 5 + 5) to j*k**2 + l*k + s and give j.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -297.27 and -9815?\nAnswer: 9517.73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 46195124683 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 q when three letters picked without replacement from {c: 11, y: 6, q: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2*(-3)\/15)\/((-14176)\/(-315) - (-25290)\/(-562))?\nAnswer: -126","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -365219066 rounded to the nearest 10000?\nAnswer: -365220000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -2 + (1 - (-2 + -1)). Suppose -3*f = -3*g + 21, -f = q*g + f - 14. Suppose g*i - 24 = 4*i. What is the units digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 15470 and 4454?\nAnswer: 2026570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -0.1, 4, -3, -1\/2, -914\/75?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 23 and 207.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/2)\/(59\/380 + (-1280)\/12160).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -20*l**3 - 52*l**2 - 84*l - 28. Let r(y) = -7*y**3 - 17*y**2 - 28*y - 9. Let i(o) = -3*k(o) + 8*r(o). Factor i(q).\nAnswer: 4*(q + 1)**2*(q + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 1507, 1589, 1727, 1921, 2171?\n\"Answer: 28*a**2 - 2*a + 1481","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2417637?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lhbkh. Give prob of picking 2 h and 1 b.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n when two letters picked without replacement from {v: 6, m: 1, n: 4, f: 2}?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 884239147 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l**3 + 13*l**2 + l + 7. Let d be z(13). Suppose -4*s = 5*x + d, -2*x - 4*s = -3*s + 11. Let j = x - -24. What are the prime factors of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/17? (a) 0.2 (b) 3\/5 (c) 111\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 116*j - 3 + 1 + 2.\nAnswer: 116*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -161 - -125. Let c = -33 - h. Solve -3*m = 2*d + d + 3, c*d = -m + 1 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 4, z: 1, f: 1, t: 9, n: 4}. Give prob of sequence tn.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that -a**5 + 51*a**4 + 275*a**3 + 285*a**2 - 274*a - 336 = 0.\nAnswer: -3, -2, -1, 1, 56","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 23*v + 2. Let k(o) = -1040*o - 91. Let u(j) = -2*k(j) - 91*t(j). Let g(f) = -9*f**2. Determine u(g(z)).\nAnswer: 117*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (3\/(-4))\/((-2)\/(-8)). Let r be f\/(-1*6)*78. Suppose 0 = 4*h - r - 29. What are the prime factors of h?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1139.0105 + 1139. Let o = 310 - 309.9476. Let q = o - b. Round q to 2 decimal places.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v when two letters picked without replacement from uvsvv?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5368, 10705, 15966, 21115, 26116, 30933?\nAnswer: 35530","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/(-26)*8\/14*378\/(-270)?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 26922?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(1 + 4*sqrt(117) + 5))**2 + -1.\nAnswer: 576*sqrt(13) + 7631","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4042352?\nAnswer: 2, 467, 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:04 AM and 9:30 AM?\nAnswer: 446","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -191 - -291. What is the hundreds digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -89*w - 8639 + 12288 = 0 for w.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3 - -1102244?\nAnswer: 1102241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*g**3 + 45579*g**2 + 173006433*g - 866172015.\nAnswer: 3*(g - 5)*(g + 7599)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 679335700?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 14990 to the power of 1\/6, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 111 minutes before 4:27 AM?\nAnswer: 2:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -15*h. Let d(q) = -3*q - 3. Let w = 69 - 62. Let s(p) = -p**2 - 7*p - 7. Let j(x) = w*d(x) - 3*s(x). What is j(t(y))?\nAnswer: 675*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*p - 2*o, 4*o - 4 + 0 = 0. Is p at most as big as 2\/665?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1760 is divided by 41?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 707094643 to the power of 1\/7, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -477693, 2, 1\/5?\nAnswer: -477693","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -2*o**3 + 2*o**2 + 6*o + 896. Let z be j(0). Calculate the highest common factor of z and 80.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 617 minutes before 5:49 PM?\nAnswer: 7:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = d**3 + 2*d**2 - 1. Let s(v) = -23*v**3 - 7*v**2 - 2*v + 2. Calculate -2*l(n) - s(n).\nAnswer: 21*n**3 + 3*n**2 + 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 9288.268 minutes in milliseconds?\nAnswer: 557296080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 362 is divided by 62?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 261035 is divided by 783.\nAnswer: 296","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4268 and 44?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-5)\/(7\/((-320964)\/4)). Suppose 2*k = 0, -3*f - 7*k + z = -3*k. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 197+-550\nAnswer: -353","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-4*((-2*(sqrt(80) + (sqrt(80) - 1*sqrt(80))))\/sqrt(10))\/(sqrt(48)\/(sqrt(12) + sqrt(36)\/sqrt(3)) - (4*sqrt(16)\/sqrt(4) - sqrt(4))) + -3)**2.\nAnswer: 288*sqrt(2)\/5 + 2211\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-15)\/(-20) + 2\/(8\/45). What is the greatest common factor of 60 and c?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 6*o**2 + o + 1. Let z be h(-1). Let x(m) = m + 1. Does 3 divide x(z)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -495 + 519.7. Let s = 25 - v. Let j = s - 0.29999925. Round j to 7 dps.\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 443*s - 207 = 420*s for s.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1709, -62, -3, 2 in ascending order.\nAnswer: -1709, -62, -3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p = 337*l - 342*l + 10, 8*l = -2*p - 52 for p.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o and 1 k when three letters picked without replacement from {l: 6, o: 6, k: 7}?\nAnswer: 35\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.0211, -3662, -0.01?\nAnswer: -3662","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -8, -29, -56, -89, -128?\n\"Answer: -3*p**2 - 12*p + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:13 PM and 9:24 PM?\nAnswer: 251","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -9435286*i**3*q**3 + i**2*q**3 - 23*i**2 - 122*i*q**3 - 63*q wrt i?\nAnswer: -56611716*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 8475.15 or -1.367?\nAnswer: 8475.15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*k**3*l + 1302*k**3 + 29*k**2*l - 12*k**2 - 21650*k*l + 2434*k - 2 wrt k.\nAnswer: 18*k*l + 7812*k + 58*l - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = g**2 + 11*g + 20. Let u be q(-9). Suppose 0 = 2*s - 2*x - 16, -u*x + x - 4 = 0. Sort s, 0.04, 5 in descending order.\nAnswer: 5, s, 0.04","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of a**2*d + 3855108*a**2 - 4535*a*d + 634 wrt a.\nAnswer: 2*d + 7710216","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 412708*a*x**2 + 6620*a*x + 4*a + x wrt x?\nAnswer: 825416*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3316055, -3316053, -3316051, -3316049, -3316047, -3316045?\nAnswer: -3316043","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + sqrt(325) + 2.\nAnswer: 5 + 5*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 - -6) + -2 + -7 + -63 + 74.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(16)\/(sqrt(72)*-1).\nAnswer: -sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -25*t + 424 - 774 for t.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.08687 to two decimal places.\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -6777200 rounded to the nearest 100000?\nAnswer: -6800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -q + 6. Calculate the remainder when z(-5) is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 8.549429 meters?\nAnswer: 8549429","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/(t*t*t**(-1)))**(-32))**(-6\/29) assuming t is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (3\/(-24))\/(153\/(-152) - -1). Solve 13*o + k = -7 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 5.41056 and 0.009383.\nAnswer: 5.419943","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4815768 is divided by 32760?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2769 or 2764?\nAnswer: 2764","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:57 AM and 6:21 PM?\nAnswer: 624","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 72\/5 of a meter in centimeters?\nAnswer: 1440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = h**2 - 4*h + 3. Let t be n(2). Let q(w) = 1. Let l be 1\/(5 + -2) - (-640)\/6. Let s(j) = l - j + 102 - 208. Determine t*s(x) - q(x).\nAnswer: x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -o**2 - 114*o + 5. Let j be q(0). Suppose -5*x - 11 = -36. Solve j*w + 18 = x*m - 4*m, -4*m = w + 12 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:37 PM and 3:34 AM?\nAnswer: 657","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) -0.0389896 (b) -0.4 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -2702170, -2702220, -2702270, -2702320?\n\"Answer: -50*b - 2702120","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -35916854 and -0.8?\nAnswer: 28733483.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 493 is divided by 163?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 29\/1091790 and -163\/5292.\nAnswer: 45855180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sum 19748 and -0.04.\nAnswer: 19747.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2762 or -5.6?\nAnswer: -5.6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -72 - -82. Let t(a) = 5 - 6*a - c*a**2 - 3 + 11*a**2. Calculate t(6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.1147498607 to three decimal places.\nAnswer: -1.115","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = n**2 - 10*n + 3. Let q(b) = b**2 - 9*b + 3. Let a(f) = -4*q(f) + 5*z(f). What are the prime factors of a(16)?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1452 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = a**2 - 5*a + 2. Let f be n(5). Let s = -11 - -4. Let j = -4 - s. Solve -y = 3*h + 13, -f + 1 = -j*y - h for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/32 (b) -7 (c) 3\/767\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/m**4)**(2\/3)\/(m**(-1)\/m)**(-38) assuming m is positive.\nAnswer: m**(-78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + -1 - (287 + -311 - (-1 - 5)).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -11, 1, -4, 2 in descending order.\nAnswer: 5, 2, 1, -4, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4.1 - 0.9. Let j = -0.6 - 9.4. Let v = j - p. What is the nearest to 0 in -4, v, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1 - -57) + 3 - 2. Let w be y + 6\/(-2 - 1). Suppose w = 2*r + r. Is r a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*g - 24 - 11. Let x = -4 - -4.4. Is x <= g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((2*sqrt(76)\/sqrt(4) - (sqrt(19) + sqrt(38)\/sqrt(2) + -5)) + -3 + (1 + (sqrt(2736) + -1 - sqrt(2736)) - (sqrt(2736)*-1 + 2)))*5)**2.\nAnswer: 68400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 190, 3\/7, 0.082?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.07, -1, -1\/6, 0.06 in descending order.\nAnswer: 0.07, 0.06, -1\/6, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let 4\/5*m**4 + 0*m**3 - 36\/5*m**2 + 0*m + 0 = 0. Calculate m.\nAnswer: -3, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 168.4738 - -2.4362. What is f rounded to 0 dps?\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -3 + 1*4*-1. Let o = i - -4. Let t(v) = -4 + v - 1 - 2*v. Calculate t(o).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 - 5 - -9 - 4\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -21 (b) 0.4 (c) 2 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -134474 - -3369944\/25. Let a = n - 324. Let j = a - 1313\/50. Calculate the common denominator of j and -73\/20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1 + -3)\/4 - (-35)\/66. Let c = 13\/66 - g. Put c, 3\/8, 2\/5, -2 in increasing order.\nAnswer: -2, c, 3\/8, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*r**3 + 296*r**2 - 2492*r - 103880.\nAnswer: -4*(r - 53)*(r - 35)*(r + 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6492412.\nAnswer: 2, 139, 11677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 13657.59 to the nearest ten.\nAnswer: 13660","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4414757.\nAnswer: 29, 41, 47, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 18090000 rounded to the nearest 1000000?\nAnswer: 18000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 33\/5 of a microgram?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -2*f**2 - 51*f - 25. Determine d(-25).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -3*o. Let s(h) = 16*h**2 - 40*h. Let r(g) be the second derivative of -g**3\/6 - 25*g. Let x(a) = 40*r(a) - s(a). Give b(x(k)).\nAnswer: 48*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 5*l + 2. Let r be a(1). Let o be (r\/(-14))\/((-1)\/458). Suppose -3*p = -116 - o. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.1523946894 to 3 dps.\nAnswer: 0.152","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 3 + 2)*(j - 3 + 3) + j + 2*j - 5*j.\nAnswer: -j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 436649 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 3*j = 2*j - 46, 3*j - 43 = -4*m. Suppose -p + 4 = 0, -a = -m*p + 11*p - 747. Calculate the highest common divisor of a and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the first derivative of r**4\/6 - 14*r + 24. Let d(f) be the first derivative of h(f). Let t(k) = 44*k**2. Give t(d(g)).\nAnswer: 176*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-96)\/(-15)*14170\/(-5668).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = -34 + 14. Let d(w) be the third derivative of -w**4\/24 - w**3\/3 + 150*w**2. Let i(a) = 2*a + 4. Calculate c*d(j) + 2*i(j).\nAnswer: -j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 11*x + 5. Suppose 0*z = -0*z - 5*z. Let n be m(z). Put -4, -3, n in descending order.\nAnswer: n, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3, 1715, 0.212, -0.5, 2\/11?\nAnswer: 0.212","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -52139 divided by 5\nAnswer: -52139\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 281 at most 280?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 524 and 1441.\nAnswer: 5764","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 4*w - 114 = 3*w, -2*w + 466 = -4*i. Let c = i + 174. Calculate the smallest common multiple of c and 9.\nAnswer: 495","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 5, 16, 27, 38, 49?\n\"Answer: 11*j - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 4*b + 5. Let w(x) be the first derivative of 11*x**2\/2 + 14*x - 9. Calculate -8*h(a) + 3*w(a).\nAnswer: a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*a - a - s + 7, -16 = 2*a - 4*s. Let h(y) = -a + 2*y - 3*y + 2*y + 3. Calculate h(1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -v. Let p(k) = 432296*k + 8. Give p(b(h)).\nAnswer: -432296*h + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (159\/(-187726)*-33)\/((-120)\/140).\nAnswer: -3\/92","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -15434, -15363, -15292, -15221, -15150, -15079?\n\"Answer: 71*m - 15505","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is u in 4*u**4 - 788*u**3 + 780*u**2 + 788*u - 784 = 0?\nAnswer: -1, 1, 196","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 4, w: 4, p: 3, e: 1, c: 1, n: 2}. Give prob of picking 1 p and 2 b.\nAnswer: 18\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) be the second derivative of 5*q**3\/6 - 31*q**2\/2 - 38*q. Let g be r(9). Solve -4*s - 2*d + 4 = 0, 2*s - 4*d = d + g for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -1739929, -1739939, -1739961, -1740001, -1740065, -1740159, -1740289?\n\"Answer: -r**3 - 3*r - 1739925","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 6349 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2272 is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*j + 7466604 = 20*j + 166*j. Is j a multiple of 111?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*p = -5*p - 1122. Let s = p - 88. What are the prime factors of s?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10098275?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15762 is divided by 3938.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 242*c = 260*c + 72 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (20 - (-19 + 27 - -5)) + (4 - (-2 - -4))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) be the second derivative of c**7\/280 + c**6\/30 + c**5\/8 + c**4\/4 + 2*c**3\/3 - 5*c. Let n(k) be the second derivative of x(k). Solve n(r) = 0 for r.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gwyygwwwyy. What is prob of picking 3 y?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 328975\/9 + -36666. Let p = 113 + l. Let a be 3\/4 - 99\/84. What is the second smallest value in -2, a, p?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2595736336?\nAnswer: 2, 73, 2222377","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*j**3 - 1443 + 1443.\nAnswer: 18*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 24 - 13. Let h = -7 + c. Find the second derivative of 10*z - 4*z + z + 2*z**3 - h*z**3 wrt z.\nAnswer: -12*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-14608)\/(-664))\/((-2)\/3).\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 815302744?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.422 + -0.45. Let p = t + -0.072. Let x = -0.4 + 0.6. Which is the second biggest value? (a) p (b) 2\/9 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-287 + 169 - -108) + 3 + 0 + 0?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 83*f - 470. Determine u(0).\nAnswer: -470","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 10917979 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) be the third derivative of -11*m**6\/120 - 7*m**3\/3 - 10*m**2. What is the derivative of j(h) wrt h?\nAnswer: -33*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -121 + 278. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*z - 4*i - 8, 5*z - 2*i = -1 + 5. Solve 0 = b - 2*x, 3*x = -z*b - b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6448690*-5.\nAnswer: 32243450","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: ((-10)\/8)\/(8\/(-32)*4)\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -684096 + 0.198.\nAnswer: -684095.802","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24997047 is divided by 480.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 + -348.7?\nAnswer: -348.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r**4\/4 - 945*r**3\/2 - 227265*r**2\/4 + 466875*r\/2 - 176148 = 0.\nAnswer: -466, -168, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -1. Let u(j) = -6*j**2 - 10. Let y(m) = 40*k(m) - 4*u(m). Let c(n) = 2*n. Determine y(c(p)).\nAnswer: 96*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.06 - -0.36. Suppose 7*j = -2*v + 3*j, 3*v - 5*j = -11. What is the closest to 0.1 in v, 1\/6, x?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 28*y + 2 - 1 - 2. Let o be q(1). Suppose -2*z = -z - u - o, 3*z + 5*u - 121 = 0. Is z a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -567*c + 22666. Determine j(40).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, 0.1, -13\/36.\nAnswer: -13\/36, -0.3, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 2*x**2 - 4*x + 1. Let a be v(4). Let d(b) = 20*b**3 + 17*b**2 - 17. Let k(r) = 7*r**3 + 6*r**2 - 6. What is a*k(q) - 6*d(q)?\nAnswer: -q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4386305 and 308.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 692 minutes before 11:18 PM?\nAnswer: 11:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1590 or -1591?\nAnswer: -1590","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lwll. Give prob of picking 2 l and 1 w.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -534 + 267 + 2*n**3 + n**2 - n**3 + 92*n**4 + 270 to the form d*n**2 + q*n**3 + m + b*n**4 + y*n and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 6 = 0, 4*b = -2*k - 3*k + 22. Suppose i - 12 = -0*c - 4*c, b*i + 2*c - 36 = 0. Calculate the remainder when 59 is divided by i.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 10274564980 to the nearest 1000000.\nAnswer: 10275000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1206*h**3*w**3 - 4*h**3*w**2 + 6*h**2*w**2 - 7*h*w**3 - 7*h + w**2 wrt h?\nAnswer: -7236*w**3 - 24*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -a (base 11) in base 16?\nAnswer: -a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -5.6 (b) 0.4 (c) 3 (d) -1\/3 (e) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11994 is divided by 2213?\nAnswer: 929","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -9134976170057 less than -3?\nAnswer: 9134976170054","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 145928 is divided by 34951.\nAnswer: 6124","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -85\/489879 and 23\/303?\nAnswer: 49477779","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/13 - (-4495)\/(-65). Let k = -36 - d. Is 6 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p when two letters picked without replacement from {p: 2, r: 5}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence veee when four letters picked without replacement from vsveeeseevvveevevv?\nAnswer: 28\/765","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10*33\/(-88)*(-144)\/(-1440).\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 899293 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 + 10 = -8*t. Solve 0 = t*k + 3*k + 20 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -343351 (base 6) to base 15.\nAnswer: -8a34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 30.3 + -30. Let k = 3 - 3.5. Let n = k + 0.5. Which is the third biggest value? (a) -1 (b) n (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 15.471 - 15.434965. Let x = -0.036 + y. Round x to 5 decimal places.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23882 - 23794 = 4*v for v.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + -29 + (-134 - (-34 + -117)).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 191.14 minus -0.2?\nAnswer: 191.34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 95637.1 seconds in nanoseconds?\nAnswer: 95637100000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-468)\/(-130) - (-70148)\/1420\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.9227 times -0.52?\nAnswer: 0.479804","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1300 + 2095. What is the hundreds digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -640.9618 plus 628?\nAnswer: -12.9618","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -111\/70 and -95\/16?\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 89.6 + -83. Let f = -1.3 + w. Let r = -5.269 + f. What is r rounded to 2 decimal places?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -115, 2\/9, -1, -1002 in ascending order.\nAnswer: -1002, -115, -1, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 2*n**3 - n**2 + 3*n - 3. Let p(o) = 5*o**3 - o**2 + 5*o - 5. Let m be 7 - -1 - (-8)\/(-9 + 13). Calculate m*y(g) - 6*p(g).\nAnswer: -10*g**3 - 4*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 7 = -33. Let r(l) be the first derivative of -1\/2*l**2 + 13*l + 159. Calculate r(b).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 3, -3, 0, -2 in ascending order.\nAnswer: -3, -2, 0, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4 + 1. Suppose j - 36 = -u*j. Let p(s) = -2*s**2 - 7*s + 10. Let a(i) = i**2 + 8*i - 9. Let m(t) = 3*a(t) + 2*p(t). What is m(j)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1522 + 1445. Let k(g) = -9*g**2 - 2. Let x(l) = 341*l**2 + 77. Calculate v*k(i) - 2*x(i).\nAnswer: 11*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -182000 to the nearest 100000.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*c - 2*n - 4858 = -15*c, c = 2*n - 2444. What is c rounded to the nearest one thousand?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the first derivative of -5*h**2\/2 + 9*h + 21. Let j(i) = 2*i - 4. Calculate 9*j(l) + 4*u(l).\nAnswer: -2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22230667?\nAnswer: 67, 331801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -22 times 795?\nAnswer: -17490","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 10 - 8. Let x(h) = -h**3 + 3*h**2 - 1. Let f be x(j). Let t = f - 8\/3. Is t at most 0.3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = -3*y + 16, 20 = -3*y - 0*y + 5*z. Let a(x) = -4*x**2 + 32*x - 52. Let j be a(4). Let v be (3 + 4 + y)*j\/(-14). Which is smaller: v or -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -732 - -731. What is the nearest to -1 in o, 5, -16, 3\/4?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n = -22*l + 26, 3*n - 915*l - 4 = -913*l for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*l**3 - 9*l**3 + 7*l**3)*(3*l**2 - 2*l**2 + 0*l**2).\nAnswer: 5*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7137.\nAnswer: 3, 13, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 5*q - 37 = 0, q = 3*s - 25 - 6. Let t be s\/(-15) - 1*(-379)\/5. What is the highest common divisor of t and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 3 + 1)*(-3 + 2*i + 3) - 2*i + 1 - 1 - 2*i + 1 - 1 + (3 - 4 + 3)*(-83*i - 21*i + i) + 4*i + 0*i - 3*i.\nAnswer: -213*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4561 is divided by 55.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 25.1 - 21. Let b = m - 4. Let h = -2379 - -2379.2. What is the closest to 3 in b, h, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-20)\/30 - (-34)\/42.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*h = -19*h + 1768. What is the tens digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -1889, -1887, -1883, -1877, -1869, -1859, -1847?\n\"Answer: o**2 - o - 1889","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14831586.\nAnswer: 2, 3, 7, 11, 29, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 24 and 17432?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -44 (base 5) to base 6.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(28) + sqrt(56)\/sqrt(2)*2 + sqrt(1008) + (sqrt(1008)*-1)**2 + 4.\nAnswer: 18*sqrt(7) + 1012","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 3*v - 6 = 0. Let r(g) = g + 1. Let d be r(10). Suppose -2*i + v*i = d. Is 11 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 67\/193502 and -95\/2976.\nAnswer: 9288096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*l**3\/5 + 1734*l**2 + 458511*l\/5 + 1297422\/5 = 0. What is l?\nAnswer: -49, -3, 2942","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 662 + -656. Let f(g) = g**2 - 6*g + 1. Let j be f(6). Sort j, s, 2 in ascending order.\nAnswer: j, 2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5cc (base 13) to base 16\nAnswer: -3f5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 + 34\/11)*(16 - 18)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.8629717248 - -0.5?\nAnswer: -0.3629717248","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 15\/(-2) - (-5)\/(24\/((-384)\/(-16)))\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**2 + 16897571*p\/2 - 12673176.\nAnswer: -(p - 8448784)*(2*p - 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the first derivative of 2\/3*f**3 + 50\/3*f + 1\/30*f**4 + 157 + 5*f**2. What is b in y(b) = 0?\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1157871 to the power of 1\/2, to the nearest integer?\nAnswer: 1076","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -155*g + 21 = -160*g - 4*o, 5*g + 8*o + 17 = 0 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-72)\/270*66 - (-72)\/120?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6864)\/(-234)*4\/16?\nAnswer: 22\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 25712 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 25711?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 9\/3296 and 13\/32.\nAnswer: 3296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*i**2\/7 - 255*i\/7 + 2442\/7.\nAnswer: 3*(i - 74)*(i - 11)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-9)\/(-45)*10)\/10. Let x = -0.3 - 0.7. Let g = 0 - x. Which is the nearest to g? (a) 0.3 (b) u (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 324735*h - 3256096?\nAnswer: 324735","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -125\/108 and 143\/162.\nAnswer: 324","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 686 and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-23 + -56 - -35) + (-5 - 0) + 14.\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -20965576, -20965573, -20965570, -20965567?\n\"Answer: 3*s - 20965579","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 2*n = 812. Suppose -2*z = n - 673. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tb when two letters picked without replacement from {w: 6, v: 3, b: 4, t: 2, h: 2}?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.06 - 3.06. Let h = q - -2.89. Let c = 5.2 + -5. What is the second biggest value in 2, h, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, q: 4, s: 1, g: 6, t: 4, h: 2}. What is prob of picking 2 g?\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2 + -1)\/1 + 7. Let x be ((-36)\/42)\/((-204)\/714). Solve 10 = -x*h + p*h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -46*s + 1210. Calculate b(26).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 391994779 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: Two letters picked without replacement from ususuusuudusdnnus. What is prob of picking 1 s and 1 u?\nAnswer: 5\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/11249 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 40729950?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 125 is divided by 15 - (2\/8 + 13\/(-4))?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -49*t - 112*t - 63*t to the form q*t + n and give q.\nAnswer: -224","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from oooiooofooooig. What is prob of sequence fooo?\nAnswer: 30\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (22\/(-77))\/(4\/(-6)).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 19*f - 594. Let m be p(31). Which is the biggest value? (a) 1\/2 (b) m (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12)\/(-10)*(-16250)\/(-975)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 340103?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 14*v - 7. Let w be o(5). Let r = -35 + w. What is the remainder when (-6)\/4*r\/(-6) is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-127 + 2)*5\/(-5)*67520. What is j rounded to the nearest 1000000?\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = -4*j + 155, 2*j + 5*g = -j + 125. What is the highest common divisor of j and 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that -10*t**3 - 10685*t**2 - 1015435*t + 510390 = 0.\nAnswer: -963, -106, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 292 minutes before 6:44 AM?\nAnswer: 1:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -5785 or -5782?\nAnswer: -5782","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 7*x - 13*x**4 - 4*x - 3*x + 5 wrt x.\nAnswer: -52*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5800330 (base 9) to base 14\nAnswer: -5b689d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3239*k + 1600*k + 1625*k + (2*k - 2*k + k)*(-1 - 1 + 3).\nAnswer: -13*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -25966.8628 rounded to the nearest one hundred?\nAnswer: -26000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (2 + 3)*4\/10. Is ((-28)\/(-20) - l)*-10 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 25 and 28 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 h when three letters picked without replacement from thhhhhtttthhhhhtttt.\nAnswer: 40\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 595240 rounded to the nearest 1000?\nAnswer: 595000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-27)\/3*-6*(-4)\/12. Calculate the remainder when 3\/g - 16583\/(-138) is divided by 10.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-5)\/(30\/4)*-6. Let x = 8 + -2. Suppose x = 3*s - 4*z, -3*z + 5*z = -t*s + 30. List the prime factors of s.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bzkw when four letters picked without replacement from zizzzrzbwzwwzkzzw?\nAnswer: 3\/4760","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 95242151 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4121 + 1?\nAnswer: -4120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1223 + -1?\nAnswer: 1222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*l + 7*l + 8 - 8 - l.\nAnswer: 3*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 24*d + 28*d - 76 = 0, -2*d - 2 = 0. Calculate the remainder when 2357 is divided by v.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.093931 millennia in decades?\nAnswer: 9.3931","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 37789 is divided by 12538.\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -35\/624 and -41\/54?\nAnswer: 5616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6 + -17\/3. Let q = 0.2 + -0.2. Let b = q - 2. What is the smallest value in -2\/17, b, l?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 2, 3\/4, -2722?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -66 + 583. What is the units digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:36 PM and 8:40 AM?\nAnswer: 664","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -52670, -2, 3, 5, -10 in ascending order.\nAnswer: -52670, -10, -2, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 - 24*a + 7 - 13)*(-2 + 1 + 0).\nAnswer: 24*a - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/7, 3, 2\/3, -157\/11, -2319 in decreasing order.\nAnswer: 3, 2\/3, 2\/7, -157\/11, -2319","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -55 - -221\/4. Let i = -652 - -656. What is the nearest to 1\/3 in i, -0.5, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*j - 3*j - 10*j.\nAnswer: -27*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -21, 2, 52?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (544\/(-119))\/(-32) + (-15)\/7?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 93*l**3 - 2091509 + 2091509 + 2*l**3.\nAnswer: 95*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5.04328 + -0.04328. Let t = 26 + 2. Which is the closest to -1? (a) t (b) -1 (c) -0.4 (d) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(100)*-1*-6)\/((1*sqrt(98) - sqrt(98)) + sqrt(80)\/sqrt(10)) + 3.\nAnswer: 3 + 15*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -14946\/18695 - 2\/3739. Which is the nearest to -2? (a) 2\/23 (b) w (c) -5\/4 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (4\/(-2))\/(((-1342)\/(-6710))\/((-51)\/(-30)*-4))\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -8*l - 572 + 708 for l.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4248 and 432?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 4, y: 6}. Give prob of picking 2 y and 1 b.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (q + 137 - 178 + 93)*(3*q**2 + 19*q - 19*q) in the form a*q**3 + y*q + x*q**2 + j and give x.\nAnswer: 156","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - 15 = -0*a. Let y = a + 4. Let h = 3 - y. Solve 0 = 6*b - h*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6\/11 - 106\/33. Let c(u) = -u**3 + 8*u**2 + 2*u + 1. Let g be c(8). Suppose 12 = -20*j + g*j. Which is greater: d or j?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 16799*w**2 + 6*w - 5. Let q be l(5). Let y = 15 + -9. Suppose -4*m + y*m + q = 0. What is m rounded to the nearest 100000?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3.6 - -4. Let o(g) = g**3 + 14*g**2 + 12*g - 12. Let h be o(-13). Which is the nearest to h? (a) 5 (b) f (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 699 and 2?\nAnswer: 1398","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -32.46 - -32.36. Which is the smallest value? (a) -1 (b) -16 (c) i (d) 2\/17 (e) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 greater than or equal to 15\/1697242?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56*a = -74*a - 37*a + 37070. What are the prime factors of a?\nAnswer: 2, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 680 and 3536.\nAnswer: 17680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1687.\nAnswer: 7, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 139, 141, 147, 157?\n\"Answer: 2*p**2 - 4*p + 141","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -30, -76, -120, -162?\n\"Answer: g**2 - 49*g + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-1))**13)**(29\/2)*(c**1*c**(2\/15)\/c)**4 assuming c is positive.\nAnswer: c**(-5639\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 73710, 73654, 73610, 73584, 73582?\n\"Answer: a**3 - 63*a + 73772","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-16)\/(-20))\/(2\/10). Suppose -2 = -a*m + 4*v + 6, m - 5*v - 6 = 0. What is the units digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 2*t**2 + 35*t - 144. Calculate the remainder when 100 is divided by w(-22).\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the second derivative of s**6\/15 - 5*s**2 - 10*s. Differentiate u(z) with respect to z.\nAnswer: 8*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 109*z**3 + z**2 + 2*z - 25. Let y be x(5). Suppose -1485 = -30*b + y. Is b a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 43\/12 and 83\/52785.\nAnswer: 211140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 - ((-6307)\/(-265) - 4\/5)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -11*g - 3. Suppose -4*y - 2*o - 16 = 0, 8*o = 11*o - 6. Give s(y).\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9787952, 19575919, 29363886?\nAnswer: 39151853","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 69.21145 years to months.\nAnswer: 830.5374","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*j + 2 - 2)*(4*j**2 - 2*j**2 - 3*j**2) - 4 + 4*j**3 + 4 + 0*j**2 + 0*j**2 + 2*j**3 - j**3 + 2*j**3 - 3*j**3 + (j**2 - 5*j**2 + 2*j**2)*(0 + 0 - 3*j).\nAnswer: 12*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 14506?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -25 + (-19 + (3 - -9) - 6)?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7909 and 12881?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 8) to base 13.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 174 a factor of 4067772?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 (base 12) in base 2?\nAnswer: -1001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5583 is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4130543?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 2*r - 6. Let s be d(6). Let q = 10 - s. Let z(t) = t**2 + 3. Is z(q) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/7 of a week in hours?\nAnswer: 288","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w + 14 = -4*u, -18 + 15 = -u + 4*w for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -1029711, -2059427, -3089147, -4118871?\n\"Answer: -2*z**2 - 1029710*z + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.2 + -1.2. Suppose 0*z - 5*z = 0. Suppose 4*y = -z*y. Is h at most as big as y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-19)\/76*8\/(-11).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-253)\/385 - (-8)\/10?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + sqrt(684) + sqrt(684)*-2.\nAnswer: -6*sqrt(19) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 899 = 5*p, 4*m + 4*p - 5316 = -1752. What is the tens digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l**5 - 74*l**4 + 458*l**3 + 8714*l**2 - 456*l - 8640 = 0. What is l?\nAnswer: -40, -9, -1, 1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 46855309 to the nearest integer?\nAnswer: 361","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (60\/10)\/(4\/((-16)\/(-6))). Suppose 20 = 5*p, -d*p = -3*a - a + 520. List the prime factors of a.\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-12)\/(62\/(-220) + (-8)\/(-44))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 390 and 242528.\nAnswer: 3637920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 34878\/19 - 1589029\/836. Let i = 261\/4 + t. Let j = -10 + 10. Is i greater than j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:37 PM and 8:53 PM?\nAnswer: 136","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 79497 and 7008?\nAnswer: 2543904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 2 - 1)*(5*w + 0*w - 3*w) + w - 5*w + 5*w - 18*w - 16 + 16 in the form y + g*w and give g.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -f**3 + 58*f**2 + 69*f - 598. Calculate t(59).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 72086718?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 19096 and 6792.\nAnswer: 16212504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 5440303 = -2*z, 2*d - 403*z - 3626857 = -404*z. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -204 - -343. Let n = 74 - 31. Suppose 0 = -2*d - n + r. Is 8 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.113 - 0.513. Let x = 10.7 + u. Round x to the nearest integer.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 35406 and 14?\nAnswer: 35406","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*c**2 + c**2 + 2*c**2.\nAnswer: 5*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + 2 - (-7 + -2 + 4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 9009232 divided by -4\nAnswer: -2252308","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 375 = -4*g + 9*g. Suppose 0 = -r - 2*r + g. Calculate the greatest common factor of 100 and r.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 319 and 2101?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 79 - 157\/2. Let f = 9.99 + -10. Let l = 4.99 - f. What is the closest to s in l, -3, 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3147663131?\nAnswer: 389, 8091679","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2 - 7 - (-15 + 8). Suppose 3*u = 9*m - 6*m - 6, 5*m - 10 = 2*u. Solve 5*g + m = -t*y - 5, 5*y + 3 = 2*g for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5454216 is divided by 215?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 14095496?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the third derivative of -j**4\/12 + 8*j**3\/3 - 810*j**2. Determine f(0).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 3*m**3 - 230*m**2 + 146*m + 428. Calculate s(76).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/((p*(p**33\/p*p*p)\/p)\/p))\/p*p**(2\/7) assuming p is positive.\nAnswer: p**(-229\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-6)\/(15\/12 + -2). Suppose 4*s - b = 2*s. Solve s*k + 32 = 4*n, 0*n + 4*k + 17 = n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -3 and 2517188615686.\nAnswer: 2517188615683","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -j**2 + j - 3. Let o(x) = 4*x**2 - 6*x + 16. Determine 11*a(s) + 2*o(s).\nAnswer: -3*s**2 - s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-6)\/((-24)\/11) - 4\/2. Let o = 3.9 - -0.1. Let v = -6681 - -6686. Which is the nearest to o? (a) v (b) j (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*u - 5 - 1. Suppose -5*y - 2 - 1 = -a, 0 = -a + 3*y + u. Let j be (39\/65)\/(0 + 6\/(-4)). Is a at least j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 17557, 3, -37, 2\/11, 4, 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 598*l**2 + 715*l**2 - l**3 - 500*l**2.\nAnswer: -l**3 + 813*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 28\/3 - 9. Let l be 1*-3*(-47 - -46). Which is the third biggest value? (a) l (b) j (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 388671301 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is u in 2*u**2\/9 - 74*u\/9 - 76\/9 = 0?\nAnswer: -1, 38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.3 - 5.3. Let f = 6 + c. What is the nearest to f in 0.1, -2, -0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 79 is divided by 76.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 220 is divided by 54.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 2*k**2 + 45*k + 264. Let q be s(-19). Calculate the greatest common divisor of 131 and q.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 102 and 150.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 2*o = 0. Suppose 4*c - 8 = o, -5*d + 0*c = -3*c - 94. Is 15 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -115*t**2 - 5*t + 11. Let o be p(5). Let d = -1518 - o. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 1 - 4)*(-19*u + 20*u + 26*u) + u - u - 2*u.\nAnswer: 25*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 329 = 35. Suppose r = 2*p + 2*b - 30, 4*p - 277 = 3*b. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2\/(-4))\/((-1)\/6). Let d = 2305\/1164 + -67\/291. What is the fourth smallest value in 3\/2, m, d, 1\/5?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33351369343 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -5*r. Suppose 2*k + k - 21 = 0. Let b(s) = -3*s. Let h(f) = k*b(f) - 4*y(f). Let t(j) = -j**2. Calculate t(h(d)).\nAnswer: -d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1586082?\nAnswer: 2, 3, 19, 13913","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -22663 (base 14) in base 15?\nAnswer: -19b73","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -200311 + -1?\nAnswer: -200312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/14 of a week in hours?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 3*k + 5*k = -364, -4*q - 5*k = -364. What is the greatest common divisor of 455 and q?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 95 - 94.66. Let k = w + -0.14. Let n = 4.2 - k. Which is smaller: -14 or n?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7*m - 8*m - 18*m + (-3 - 1 + 5)*(-m - 2*m + 4*m) + (-2*m + 0 + 0)*(2 - 2 - 2 + (-1 + 2 - 2)*(-3 + 3 + 2)).\nAnswer: -24*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-14)\/(-8))\/((-1)\/(-4)). What is the highest common divisor of 56 and l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 5*i - 1618 = 0, z = -3*i + 938 - 129. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 42\/5 of a century?\nAnswer: 10080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1004661 + 12982*h + 1004661 to the form p*h + o and give p.\nAnswer: 12982","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 68472\/5 - 13694. What is the nearest to 2\/5 in w, -104, -1?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6*(-6)\/(-48)*-2*2\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = q**2 - 9*q + 9. Let m be u(9). Let k = -4 + m. Suppose 4*x - 4*v - v - 72 = 0, k*v - 6 = -2*x. Calculate the remainder when 38 is divided by x.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 equal to -3693\/8329?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 231746268 divided by 3049293.\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 5*o - 27*v + 32*v, 4*v = -2*o. Suppose 0 = 2*t - 0*b - 2*b - 138, -b - o = 0. Does 25 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -g**2 - 6*g - 2. Let h be c(-5). Suppose -h*z + 2376 = 687. List the prime factors of z.\nAnswer: 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1000100112 - 10001?\nAnswer: -1000110120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -208, -378, -548, -718, -888?\nAnswer: -1058","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1380 - -1504. Let j = 30467.03 - 30591.0361. Let i = j + a. What is i rounded to 3 decimal places?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -d**3 - 4*d**2 - 6*d - 4. Determine b(-3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 74\/(-777) - (-107)\/21?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2, 132, 2, -0.4, 0?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1553\/8 - 194. Let h = 0.44 - 0.04. What is the second smallest value in -5, n, h?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1756 - 9584 = -15*j. What is the highest common factor of 216 and j?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.03 in -27698, 3, 15\/7, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 3*d - 23. Let i be h(7). Let j(p) be the second derivative of p**4\/12 - p**3\/3 - p**2 + p. Give j(i).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 538 minutes after 5:24 AM?\nAnswer: 2:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 - (-304)\/96*54\/(-12)?\nAnswer: -21\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22873 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 9\/2, -0.0236, 4, 0.5 in descending order.\nAnswer: 9\/2, 4, 2, 0.5, -0.0236","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:46 PM and 10:02 PM?\nAnswer: 136","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k when two letters picked without replacement from jjjjjkjjjkjjjjjjjjjj.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p + 5*p = 5. Which is the second biggest value? (a) 6\/7 (b) -2\/5 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.3 - -0.3. Let m = -18.02 + 18. Sort 2, m, k.\nAnswer: m, k, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 13\/21 and 8\/2 - (-1683)\/(-162).\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1720\/1547 + 114\/119. Let w(u) = u**2 + 2*u - 3. Let d be w(-3). Suppose -5*s = -d*s. Which is the nearest to s? (a) 0.2 (b) y (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w*w**33*w**16 assuming w is positive.\nAnswer: w**50","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -b**3 + 5*b**2 + 2*b - 4. Suppose -3*k + 8 = -5*c, -4*k + 9 = -0*c - 5*c. Let s be (-1)\/(c\/5) + 0. What are the prime factors of i(s)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000002371 to six decimal places.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 104 is divided by 11.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 1591589040 to the nearest one million.\nAnswer: 1592000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -2*1\/(-2) - -2. Let x = -3 + r. Suppose -3*j - 2*j + 10 = x. Solve 0*c + j*c - 4 = 0 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y**45)\/(y**11*y) assuming y is positive.\nAnswer: y**34","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 3*n - 0. Let s(d) = d**3 - d**2 + d + 1. Let m(j) = 6*j**3 - 5*j**2 + 7*j + 3. Let a(l) = -m(l) + 5*s(l). Give a(n).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qjiqbipipipppipjj. What is prob of sequence ipp?\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -394964 or 7?\nAnswer: -394964","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 1, z: 12}. Give prob of sequence zzzz.\nAnswer: 9\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(91) + sqrt(91)*-4)*1 + sqrt(91) + sqrt(91) - sqrt(91)) + 1*sqrt(91)*-5)\/((-1*sqrt(21)*-3 + sqrt(21) - sqrt(21))\/(sqrt(3) - 5*sqrt(27))).\nAnswer: 98*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 76\/8787 or -1?\nAnswer: 76\/8787","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.02796705 rounded to two dps?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 5*((-272)\/140 - -2). Which is the closest to -3? (a) x (b) -0.5 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*n**6 - n**5*s + n**3*s - 3*n**2 + 2*n*s - 12*s wrt n?\nAnswer: -360*n**3 - 60*n**2*s + 6*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(-2)*450\/(-3150).\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -32*l + 91*l + 578 + 9*l + 2*l**2.\nAnswer: 2*(l + 17)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-11)\/(-66)*(-4)\/(-2).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -5718437 * -4\nAnswer: 22873748","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*p**3 - 5888*p**2 - 17638*p + 23528.\nAnswer: -2*(p - 1)*(p + 4)*(p + 2941)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**3)**(-1\/7)\/(h*h\/h**1*(h*h\/h**(-3\/5)*h)\/h) assuming h is positive.\nAnswer: h**(-141\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that 3645*c**5 + 50760*c**4 + 174830*c**3 - 13160*c**2 + 245*c = 0.\nAnswer: -7, 0, 1\/27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 7*f**2 + 5*f + 5. Let p(w) = 108*w + 2 - 106*w + 0 + 3*w**2. Let u(h) = -6*n(h) + 15*p(h). Let b(y) = -3*y**2. Determine b(u(v)).\nAnswer: -27*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 87 - 2981432499.\nAnswer: -2981432412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wgu when three letters picked without replacement from wkgkkukukkkkuggkw.\nAnswer: 3\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 611 minutes after 10:35 AM?\nAnswer: 8:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 16*b**3 - 18*b**3 + 13 + 44 to the form s + k*b + m*b**2 + a*b**3 and give s.\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -236*l**4 - 64*l**2 - 3?\nAnswer: -5664*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30 + 21 - 3*h - 14.\nAnswer: -3*h + 37","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -225*r**2*s**4 + 4*r**2*s**2 + 2*r**2 + r*s**6 - 7*s**2 wrt s?\nAnswer: -5400*r**2*s + 120*r*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = 3*w - 3. Let m be 162\/(-39) + 1 + w. Which is the third smallest value? (a) -2 (b) m (c) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 35 + -14. Suppose 0 = -4*k + 5*v + 21, -4*k + d = k - v. Let j(o) be the third derivative of o**6\/120 - o**5\/15 + o**4\/12 - o**2. Give j(k).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 4*i = 24, -7*s - 33 = -3*s + 5*i. Let k be 0\/s + -2 + 3. Let c be (-1 - 0)\/(k\/(-9600)). What is c rounded to the nearest one thousand?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 38046?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/8, -0.7, 9 in descending order.\nAnswer: 9, -1\/8, -0.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 170318 to the nearest integer?\nAnswer: 413","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 749925 = -4726*a - 2699*a for a.\nAnswer: -101","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -31103, -62193, -93273, -124343?\n\"Answer: 5*i**2 - 31105*i - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 79? (a) -1 (b) -2 (c) 7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 35 (b) -3 (c) 2 (d) -4 (e) -5\/3 (f) -6\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = o**3 - 589*o - 2*o**3 - 4*o**2 + 604*o + 21. Let y be u(-6). Factor 6*v**y - 8*v**3 - 2*v**2 - 6*v**2.\nAnswer: -2*v**2*(v + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31 = -3*f + 59. List the prime factors of f.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2578898 or 10315587\/4?\nAnswer: 2578898","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 667 minutes after 12:52 PM?\nAnswer: 11:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -13*r + 37*r - 34*r. Suppose -6*b = -2*b - 44. Let k(y) = -y**2. Let s(n) = -6*n**2. Let w(m) = b*k(m) - 2*s(m). What is x(w(z))?\nAnswer: -10*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4066 + 5840. What are the prime factors of s?\nAnswer: 2, 887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*a**2 - 1760 - 83*a**3 - 2*a**3 - 6*a**2.\nAnswer: -85*a**3 + 2*a**2 - 1760","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -1011 (base 3) in base 8?\nAnswer: -37","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*s**2 - 5*s**2 - 9*s**2 + 15*s**2 + 45*s**2 + 20*s**2.\nAnswer: 63*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 372750 divided by 350?\nAnswer: 1065","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -130 + 120. Let l(y) = -2*y - 5. What is l(m)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1900, 7549, 16970, 30175, 47176, 67985, 92614?\nAnswer: 121075","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 44*k + 30. Let o(p) = 5*p + 2. Let l(z) = -n(z) + 8*o(z). Calculate l(-3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -p**3 - 62*p**2 + 309*p + 14. What is y(5)?\nAnswer: -116","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 148 - 16 = -6*b. Let h be (b\/(-55))\/((-1)\/(-5)). Let w be 0 + 13 - 1\/(-1). Calculate the greatest common factor of h and w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2455738437?\nAnswer: 3, 139, 227, 25943","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 278926?\nAnswer: 2, 89, 1567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 5 - 2)*(-4 - v + 4 + (-3*v - 2*v + 4*v)*(4 + 0 - 3) - 5*v + 2*v + v).\nAnswer: 16*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1.07089, -0.2, -1\/7?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 - -20 - (-4 - -3 - 1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1099 is divided by 13?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = u**3 - 5*u**2 + 6*u + 3. Let t(d) = -2*d**3 + 11*d**2 - 13*d - 7. Let s(b) = 7*q(b) + 4*t(b). Calculate the remainder when s(5) is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -3, 104, 12, 5, -50, -2 in decreasing order.\nAnswer: 104, 12, 5, 3, -2, -3, -50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1750*w - 2805 = 1937*w for w.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*i - 2*i + 5 = u, -4 = u + 5*i for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 4*o. Suppose 0 = -f - w - 4*w + 27, 0 = -5*f - 4*w + 30. Let c(k) = -2 - k + 4 - f. Determine s(c(q)).\nAnswer: -4*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 2, y: 1, s: 10, k: 1}. Give prob of sequence ys.\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-106)\/(-76) - 26\/(-247). Let u(j) be the second derivative of 0 + 1\/20*j**5 + 0*j**3 - g*j**2 + 0*j**4 - 2*j. Differentiate u(c) with respect to c.\nAnswer: 3*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -7*k**2 + 0*k + k**2 + 6*k. Let d be (8\/(-5))\/(2\/(-10)). Let s(m) = 2*m**2 - 2*m. Let l(b) = d*s(b) + 3*u(b). Factor l(t).\nAnswer: -2*t*(t - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*i - 6 = -31 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000001290315026 to seven decimal places.\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = -3*w + 62, -4*x - 3*w + 31 = -99. Find the third derivative of 38 - 130*l**4 - 139*l**4 + x - 73 + 64*l**2 wrt l.\nAnswer: -6456*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v and 2 u when four letters picked without replacement from {v: 6, u: 4, x: 1, l: 3}?\nAnswer: 90\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -97*f*j - 1012*f*k + j*k - 2*j + 41*k + 195 wrt f.\nAnswer: -97*j - 1012*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (0 - 1) + 3\/((-180)\/(-52)). Let g = -1.2 - -3.2. Put -1\/2, a, g in descending order.\nAnswer: g, a, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -1. Let r be ((-12)\/(-8))\/1*(-2)\/3. Let v(f) = f + 3. Calculate r*v(z) - 4*d(z).\nAnswer: -z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5 - (-90)\/27)*(2\/(-7) - 291\/(-210))?\nAnswer: -11\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 97 is divided by 13.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1718 and 1480057?\nAnswer: 859","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 428, 1675, 3746, 6641, 10360?\nAnswer: 14903","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 81235357 to the power of 1\/3, to the nearest integer?\nAnswer: 433","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 199, 392, 585, 778, 971, 1164?\n\"Answer: 193*v + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -33 + 60. Does 9 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 677798 is divided by 648.\nAnswer: 638","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(70)\/sqrt(7))\/sqrt(5)*6.\nAnswer: 6*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 0 + -203?\nAnswer: -203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 19*d**2 - 6 + 9 + 3*d + 18*d**2 + 26*d**2 - 2*d to b + p*d + f*d**2 and give f.\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 131162?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 876.\nAnswer: 2, 3, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -47*m + 8. Let g(x) = -16*x + 3. Determine 11*g(o) - 4*w(o).\nAnswer: 12*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 4736*j + 82*j**2 + 1 - 4734*j to the form g*j + a + n*j**2 and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-9)\/(-12)*-1)\/((-102)\/(-68))?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1069 + 1619. What is the highest common factor of g and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2 + 16. Is r >= 13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*x - 32*x + 42 = 0. Are -12\/869 and x non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 630161 (base 7) to base 10.\nAnswer: 108137","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -96843248.8 to the nearest 10000.\nAnswer: -96840000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -2163 - -2?\nAnswer: -2161","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1a6617 - -193?\nAnswer: 1a67aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b**5 + 40*b**4 - 96*b**3 - 64*b**2 + 448*b - 384 = 0. Calculate b.\nAnswer: -2, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 30 = -4*i. Let x be (4\/(-3))\/(i\/(-135)). Is 54 - 7\/(14\/x) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11 - -101011100000110101?\nAnswer: 101011100000110010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 47487477 and 153?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.181 + -7.719. Let d = m - -7.89999656. Round d to 6 dps.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 99668 to the power of 1\/3, to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13 + (-2 - -5) - (28 - (-14 + 117))?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -34, -76, -190, -412, -778, -1324, -2086?\nAnswer: -3100","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1886941?\nAnswer: 7, 97, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 113 divide 6441?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**3 + 5*o**2 - 22*o + 16.\nAnswer: (o - 2)*(o - 1)*(o + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, -16, -2\/45, 9 in decreasing order.\nAnswer: 9, 0.2, -2\/45, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 50*i - 89*i + 37*i.\nAnswer: -2*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-54838)\/(-4704) - 9) + (-8)\/3. Which is the nearest to 2? (a) 0 (b) s (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 273672617 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -9.1 - 76551\nAnswer: -76560.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7.8 + -0.8. Let y = -7.5 + i. What is the closest to -1 in y, -0.3, -2\/7?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 36634?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3\/6*(42\/(-105))\/1. Let x = -0.06 - 0.34. Sort x, 2\/13, g in increasing order.\nAnswer: x, g, 2\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5499*q + 2310*q = 178584 for q.\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -644 - -1078. List the prime factors of y.\nAnswer: 2, 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**6*l)\/((l**(1\/4)\/l*l)\/l)*(l**(-1))**(1\/66) assuming l is positive.\nAnswer: l**(1021\/132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 7*o - 1 + 1 + 4*o**2 + 5*o.\nAnswer: 4*o*(o + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7 - -10. Let f(s) = 1. Let j(l) be the third derivative of l**4\/24 - l**3\/6 - 4*l**2. Determine y*f(i) + j(i).\nAnswer: i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 92\/(-40) - -2 - 41114\/420. Is -97 equal to z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 1395?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 75 + -71. Let n(c) be the first derivative of 3*c**4 - 4\/5*c**5 - 2\/3*c**6 + 20\/3*c**3 - 1 + 0*c + f*c**2. Factor n(a).\nAnswer: -4*a*(a - 2)*(a + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*g - 371 + 427. Which is the biggest value? (a) -4 (b) g (c) -2\/31\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6243734 and 9499?\nAnswer: 413","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 332681716?\nAnswer: 2, 19, 230389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -160\/38197 - -512647697\/1375092. Let j = 1479\/4 - i. Calculate the common denominator of j and ((-77)\/6)\/((-15)\/9).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 262 is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t*(t**(3\/7)\/t)\/t*t*t\/t**11)**(-9) assuming t is positive.\nAnswer: t**(540\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -128*j + 102*j + 182 = -156 for j.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 0.3, 6, -45, -3\/2.\nAnswer: -45, -3\/2, 0.3, 2, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -8*a**2 - 136*a + 88. Give v(-18).\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5157 + 5276. Solve -j*s + 129*s - 10 = 0 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -46 - (-18 + (3 - 4)) - 3?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -27*i**2 + 119 - 119 + (-4*i - 3*i + 0*i)*(-201 + 16*i + 201) in the form m*i**2 + r*i + s and give m.\nAnswer: -139","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 30 + -21. Let v(d) = -c - 4*d - 6*d**3 + 8*d**2 + 9*d + 5*d**3. Is v(8) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0473967 to three dps.\nAnswer: -0.047","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/3, -2\/219, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 3 = -5*u, -5*w + 2 = -3*u + 17. Solve 4*y - 6 - 10 = u for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 3437871 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -4090 divided by -3?\nAnswer: 4090\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 23 + -29. Let l be (z\/(-1))\/(14\/63). Solve -2*g + 2 = 10, 3*g + l = 5*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1.9 + -3.9. Let f = -22 + 22.44. Let q = f + -0.04. Which is the second smallest value? (a) i (b) -1 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 159312941, 159312940, 159312939, 159312938, 159312937, 159312936?\nAnswer: 159312935","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -311*d**3*i + d**3 + 2*d**2*i + 27*d**2 wrt i?\nAnswer: -311*d**3 + 2*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -451*q**3*r + 2*q**3 + 4*r + 16 with respect to q.\nAnswer: -1353*q**2*r + 6*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -660 divided by 20.\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-4)\/14 + (-333)\/(-63). Let i be (a\/(-1))\/((-1)\/1). Suppose -5*j + 3 = -2*f + 2, -i*j = -f - 3. Is 2 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 102.3 + -39.6. Let x = m - 60. Let r = -0.3 - x. Which is the third biggest value? (a) r (b) 2 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 - 4)*(-81*g - 200*g + 34*g).\nAnswer: 741*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*f*j*v**2 + 4*f*j*v - 2*f*v**2 - 2*f*v - 48*j*v**2 - 2*j wrt v?\nAnswer: -4*f*j - 4*f - 96*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -4*q**3 - 12*q**2 + 8*q + 1. Let o(w) be the second derivative of -w**5\/20 - w**4\/3 + w**3\/2 - 3*w. Let r(g) = 4*l(g) - 14*o(g). Factor r(h).\nAnswer: -2*(h - 2)*(h - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 97 divide 101379?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -19 > -744\/37?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*j - 59 - 1 = 0. Let i = j - 12. Which is bigger: -7 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -r - 4. Let s be w(-6). Suppose -5*v = -3*y - 23, -3*v = -28*y + 27*y - 13. Sort s, -15, v.\nAnswer: -15, s, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2 + 1)*0\/(-3 - -2). Let x(z) be the second derivative of 1\/6*z**4 + 0*z**3 + m + 3\/5*z**5 + 3\/5*z**6 - 6*z + 0*z**2. Find p, given that x(p) = 0.\nAnswer: -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 3, g: 8, a: 7, b: 2}. Give prob of picking 1 a and 1 g.\nAnswer: 28\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -2*y - 21. Let d be x(-9). Let s be (d\/(-9))\/(-1 - 30\/(-27)). Solve -4*o = 4*n, -2 = s*o - 4*o for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 q when four letters picked without replacement from {u: 2, q: 6, o: 4, w: 2, t: 1}.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/3 (b) -0.5 (c) 0.0574 (d) -1 (e) -1\/4 (f) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 = -4*j - 4*h, -h + 48211 = -2*j + 48210 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7992 - 7992. Factor j*v + 2*v**4 + 2\/5*v**5 + 0*v**2 + 0 - 12\/5*v**3.\nAnswer: 2*v**3*(v - 1)*(v + 6)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = m - 4. Let k = 11 + -7. Let u be s(k). Solve u = o - v - 5, -o + 2*v + 8 = 0 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6130?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*q**3 + 3*q**3 + 3 - 2*q**3 + 0*q**3 in the form n + b*q**2 + s*q + u*q**3 and give n.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-54)\/(-2565)*38)\/(-12*(-2)\/(-70)).\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8*22\/16*4\/4.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*w + 28 + 24 - 32 + 89.\nAnswer: 2*w + 109","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -234 + 105. Suppose -3*v - 281 = -4*v. Let z = k + v. What are the prime factors of z?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2276, 0, 264 in decreasing order.\nAnswer: 2276, 264, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -10 in -2\/5, 2, 34, -0.242, -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 60 = -8*r. Suppose 2*h = -2*h - 156. Let g = h + 119. Calculate the greatest common factor of g and r.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3060338*d**2 + 123650520*d - 1249000200 = 0. What is d?\nAnswer: 24990\/1237","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(76) - sqrt(76)*2))\/(1*(sqrt(4)*2 - sqrt(4))).\nAnswer: -3*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -c**3 + 7*c**2 + 16*c + 21. Give b(9).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -4*h**2. Let p(c) be the third derivative of c**8\/2240 + 3*c**5\/20 + 2*c**2. Let f(y) be the third derivative of p(y). Determine f(i(z)).\nAnswer: 144*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 208 = -4*v - 76, -o + 68 = 2*v. Solve -v*j + 234 = 4*j for j.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(63) - sqrt(252)\/sqrt(9).\nAnswer: -1 + sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 28436087291 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2233*z - 1122*z - 1121*z.\nAnswer: -10*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 37 divide 109116108?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qr when two letters picked without replacement from {u: 1, r: 1, q: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -204032021 (base 5) to base 2.\nAnswer: -11001110100000111110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*d**3 + 2*d**3 + 2*d**3)*(-4*d**2 + 2*d**2 + 0*d**2) + 2*d**5 - 7*d**5 + d**5.\nAnswer: -2*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 3, 38, -109, 0, 4 in descending order.\nAnswer: 38, 4, 3, 0, -4, -109","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 88 - 16. Suppose 0 = -20*o + s + 88. What is the remainder when 31 is divided by o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1, 2042, 0.5, -2\/7, 0.06?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/193367317 greater than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1876)\/(-63)*(-102)\/(-188). Let x = -24\/47 - n. Let k = 884 + -5285\/6. Calculate the common denominator of x and k.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 22*p - 59. What is the units digit of g(16)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = 0, -3*o = b - 1680 - 1409. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i + x - 27 = 0, -3*x = -5*i - 42 + 11 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Are 1311\/4 and 3\/97 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 2*y**2. Let l(p) = 4445*p**2. Determine n(l(t)).\nAnswer: 39516050*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27 + -3*60\/9.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yly when three letters picked without replacement from {e: 1, l: 5, y: 11}.\nAnswer: 55\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5373648 + 15926352. What is x rounded to the nearest 1000000?\nAnswer: 21000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 * -24423.\nAnswer: 48846","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 804?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 7 + 69*i - 68*i - 1. Let j be h(-5). Suppose 2*q = 2*w - 1 - 1, -w = 4*q + 4. Solve w = 3*r + 11 + j for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.01105572 + -19.\nAnswer: -18.98894428","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5078 = -m + s, -3*s = -3*m + s + 15233. Suppose 11*k = 10*k + m. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lll when three letters picked without replacement from {l: 2, t: 10}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = 2*a - g, -58 = 5*a + 2*g - 12. Suppose 3*t + 3*d = 2*t + 22, 2*d = 5*t - 93. Calculate the remainder when 31 - (5 + 2 + a)*1 is divided by t.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*k + 33*k + 270 = 0. Let j(p) = 6*p + 3. What is j(k)?\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5091 to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ii when two letters picked without replacement from ilii.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1070 - -1125. Calculate the remainder when 76 is divided by p.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 6*l + 6 - 5*l**3 - l**2 - 7*l + 6*l - 2*l**2. Let y be m(-5). Suppose 0*a - y = -9*a. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 4771?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) be the second derivative of 0*s**2 + 1\/12*s**4 - 2*s + 11\/20*s**5 + 5 - 9\/2*s**3. What is the second derivative of b(a) wrt a?\nAnswer: 66*a + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 523912.\nAnswer: 2, 43, 1523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 237, 473, 707, 939, 1169, 1397, 1623?\nAnswer: 1847","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 11196289697 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -12*i**2*l**4 + 214*i**2*l**3 + 48*i**2*l - i*l - 16*i wrt l?\nAnswer: -144*i**2*l**2 + 1284*i**2*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -351*o**3 - 5631*o**2 - 22704*o - 960.\nAnswer: -3*(o + 8)**2*(117*o + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 2, -2, -2425 in descending order.\nAnswer: 2, -2, -5, -2425","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12)\/(-30)*5\/4.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -20425, -19818, -18805, -17386, -15561, -13330, -10693?\n\"Answer: 203*h**2 - 2*h - 20626","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m*m*m*m**(-1\/2)\/m*m*m*m)\/(m\/m**(1\/2)))**(1\/6) assuming m is positive.\nAnswer: m**(5\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 - 4 - (0 - -6) - -7?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = y + 2*v - 458, -18*y + 20*y + 3*v - 915 = 0. Let u = y + -349. List the prime factors of u.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 54, 16, -48, -138, -254?\n\"Answer: -13*l**2 + l + 66","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 216154079 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g = -g + 19. Let v = g - 10. What is the remainder when v is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -152 + 14*c + 77 + 77.\nAnswer: 14*c + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -8 + 6. Let o = -8 - -8. Which is the closest to -3? (a) o (b) -0.5 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 34.098 rounded to the nearest ten?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-24)\/(-18) + 16\/(-48).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -100, -105, -116, -133, -156, -185, -220?\nAnswer: -261","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 5*g**2 + 53*g + 69. Calculate x(-8).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 21416?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1020220220 + -211?\nAnswer: 1020220002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.593015 to three dps.\nAnswer: -1.593","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1.1? (a) -2 (b) 3 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(15)\/sqrt(45) - (1 + sqrt(147))**2 - (1 + 4*sqrt(6)\/sqrt(2)*-5)).\nAnswer: -153 + 19*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 7173436?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -2*h**2 - 3*h + 3. Let x(z) be the first derivative of 2*z**3\/3 + 2*z**2 - 3*z - 23. What is 4*a(c) + 3*x(c)?\nAnswer: -2*c**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 12 = -2*n + 5, -5*n + 2*p = -42. Suppose -2*o - 3*o = 15, -3*a = o - 6. Suppose d - 3*d = 5*y - n, d - a = -2*y. List the prime factors of y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-4)\/57)\/(38\/(-57)). Which is the closest to 0.07? (a) -0.4 (b) 1\/5 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5057 - 166867\/33. Let m(b) be the first derivative of -8\/11*b - 6 - s*b**3 + 16\/11*b**2. Factor m(j).\nAnswer: -2*(j - 2)*(7*j - 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 6*y + 2*s + 16 = 0, 10 = 5*y + 5*s. Suppose -y*u + 406 = 150. Suppose 0*x - 4*x + u = 0. Is x a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*h**4\/8 + 21*h**3\/8 + 15*h**2\/4 - 6*h.\nAnswer: -3*h*(h - 8)*(h - 1)*(h + 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n + 0*j - 13 = -j, -4*j = 2*n - 12 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 40\/(-110)*55\/(-10).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 834096583?\nAnswer: 277, 3011179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 56, 0.52, 0.4.\nAnswer: 0.4, 0.52, 56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (122 - 122 + 15*r**2)*(8*r - 10*r + 12*r) + r**3 - r**3 - 2*r**3.\nAnswer: 148*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*x - 0*h + 3*h + 9, 4*x - 3*h + 26 = 0. Let m be (18\/(-2 - x))\/(-2). Put m, -4, 0 in descending order.\nAnswer: 0, m, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -c**3 - 10*c**2 + 13*c + 14. Let u be x(-11). Let d = u - -18. What is the units digit of d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 a factor of 36288?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (19\/(-57))\/((-2)\/30). Suppose -152 + 42 = -j*h. What is the greatest common divisor of 198 and h?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 - (-10 + (-3 - -4)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 5*p - 93 = 0, 5*m - 59 = -4*p + 464. Do 104 and m have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7789489 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -t**3 + 4*t**2 + 14*t + 4. Let g be (3\/(-2))\/((-3)\/6). Let k = g + 3. List the prime factors of z(k).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 991942.2 litres?\nAnswer: 991942200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 11*y + 1. Let h be o(1). Let c = h - 6. Suppose -119*u = -124*u + 45. Calculate the lowest common multiple of c and u.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 2*b - 21 + 14 + 7. Let s(v) = -7*v**2 + 5*v + 5. Let p(t) = -3*t**2 + 2*t + 2. Let f(r) = 5*p(r) - 2*s(r). Determine f(k(i)).\nAnswer: -4*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:29 AM and 1:24 PM?\nAnswer: 715","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -42.5 in -25, -75, 2, 3\/5?\nAnswer: -25","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4869792.\nAnswer: 2, 3, 37, 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, 271952, -54.\nAnswer: -54, 8, 271952","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (5\/3)\/(205\/1476). Let h(t) = -t - 4. Calculate h(y).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1185 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-27 - -8) + 48 - 41\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 7731262 a multiple of 55?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 4981231579 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -3*p - 3*p + 7*p - p**2 - 8. Suppose -4*f + 4*z + 4 = -0*f, -5*f - 3*z = 3. Suppose -j + 0*j = f. Determine s(j).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2145, -4297, -6441, -8571, -10681, -12765, -14817?\nAnswer: -16831","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 874, 875, 876, 877?\nAnswer: 878","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:05 AM and 8:04 AM?\nAnswer: 59","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 - (15 + (-8 - (2 - 3))).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*j + 7*j + 2*j.\nAnswer: -5*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -3 + 2 + -3.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 7*v - 144. Suppose -5*y + 45 = -3*y - p, 0 = -4*y - 5*p + 69. Let l(g) = 85*g**2 + 2*g + 1. What is the least common multiple of l(-1) and k(y)?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-38)\/456)\/((-35)\/(-420)))\/(18\/(-284))*9\nAnswer: 142","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -529 divided by 1?\nAnswer: -529","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1278*l**3*w**2 - 21*l**3*w - l*w**2 - 2*l*w + 582*l + 9 wrt l.\nAnswer: -7668*l*w**2 - 126*l*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -420\/47 at most as big as 52?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 2*z + 91. Let n(a) = -2*a. Calculate n(j(h)).\nAnswer: -4*h - 182","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6 and (2 + 2)*20\/8?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*f**2 + 279*f - f**2 + 65*f - f**3 - 2*f**2.\nAnswer: -f**3 + 2*f**2 + 344*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 * -0.286\nAnswer: 0.0286","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 8285 = -5*u + 35, 4*u = -5*a + 13858. Is 106 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 189*z - 198162 + 187389 for z.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((1 - 2) + 6 + -4)*159. List the prime factors of (65932\/h)\/(4\/9).\nAnswer: 3, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -o - 2. Let r(y) = -y**3 - y**2 - 4. Let c be r(0). Give k(c).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0014454 to four decimal places.\nAnswer: -0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -2, -402 in increasing order.\nAnswer: -402, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by -44?\nAnswer: 3\/44","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f = -5*z + 20, -3391*z = -3391*z - 7*f for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1291?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 2635.7352 rounded to the nearest 100?\nAnswer: 2600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = 2*l - 2*i, 14 = 3*l + 2*i - 14. Solve 3*n = 4*v + l, -3*n + v = -n - 5 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 2*d**2 + 4*d + 5. Let s be a(-2). Solve 0 = -5*q - l - 5 - 9, -l = -s*q - 16 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7423311061 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 112840415*b**2 + 118*b - 681204 wrt b?\nAnswer: 225680830","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9)\/((-27)\/(-9))*-2?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = c**3 - 10*c**2 - 11*c + 2. Let x = 3 - -8. Let r be b(x). Let 2\/3*m**r - 2\/3*m**3 + 2\/3*m - 2\/3 = 0. What is m?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*j**2 - 1489*j + 1489*j.\nAnswer: -3*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the second derivative of 5\/21*o**7 - 12*o**2 + 13\/3*o**4 - 14\/15*o**6 + 0 - 6\/5*o**5 + 7\/3*o**3 - 130*o. Solve j(r) = 0 for r.\nAnswer: -1, 4\/5, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3012 and 0.2?\nAnswer: -602.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -i + u, 2*i + u = 4*i - 23. What is the remainder when 27 is divided by i?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -2*x. Let h be n(-6). Let l = -12 + h. Suppose 0 = -l*u - 3*u + 45. Is 8 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 820 by 205.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -7\/5, 7, -9, 1.32, 3, 193, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6.9 - 7. Let w = 4 + -6. Which is smaller: l or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-22)\/(-4)*(9\/3 - 17). Let t = 75 + w. Let r(n) = -4*n + 0*n + 3*n. Calculate r(t).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -14*c. Let v(m) = 696*m**2. Calculate a(v(d)).\nAnswer: -9744*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 279 = -5*i + 69, 346 = 5*i - 2*j. Suppose -74*k + 188 = -i*k. What is the remainder when k is divided by 26?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1101111011110011 (base 2) to base 5.\nAnswer: -3311300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -103, -203, -299, -391, -479, -563?\nAnswer: -643","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 6*q - 6. Let l be r(4). Let t = l + -13. Suppose 2*k + t = 11. What is the units digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 783 and 629677.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6683?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 11*g**2 - 18*g + 54. Let z be o(3). Sort -3, 0, z in increasing order.\nAnswer: -3, 0, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/8, 168, -4\/7.\nAnswer: -4\/7, 3\/8, 168","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((9 - 26)\/119)\/(2\/(-7))*778?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the first derivative of -45 - 3*o**2 - 6*o + 8\/3*o**3. Let m(v) = -2*v**2 + 3*v**2 - v + 0*v - 1. Calculate -6*m(b) + y(b).\nAnswer: 2*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(272) + -1)**2.\nAnswer: 16*sqrt(17) + 276","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 20*l**2 - 11*l + 3. Let o(q) be the third derivative of -q**4\/12 - 239*q**2 + 3*q - 2. What is k(o(t))?\nAnswer: 80*t**2 + 22*t + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 2*y**2 - 5*y - 10. Let n be (5\/3 - -1)*(-3)\/(-2). Let j be f(n). Determine m, given that -12 + 12*m - 24 - 80*m**2 + 79*m**j = 0.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 127332 divided by -6466.\nAnswer: -63666\/3233","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 take away 0.016048369?\nAnswer: 2.983951631","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*b - 3*a - 97272, -3*b - 32424 = -4*b + 3*a. Suppose -29*n - b = -71*n. List the prime factors of n.\nAnswer: 2, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7379585 to the nearest integer?\nAnswer: 2717","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 11*z**2 + z - 1. Let y be h(1). Let m be (y\/(-77))\/((-4)\/7). Is 1\/3 greater than m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 57.12993 nanoseconds?\nAnswer: 0.05712993","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 15135?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 250927 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve r = 2*k + 9, 4*r - 9*k = -12*k + 3 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 546*k**2 - 1 + 1094*k + 1085*k - 2180*k to the form b + o*k**2 + c*k and give o.\nAnswer: 546","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 33441, 33435, 33429, 33423?\n\"Answer: -6*l + 33447","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = -3*j - 836, 261 = -2*j + 5*u - 309. Let z = j + 460. Suppose 8*i - z = 3*i. Calculate the lowest common multiple of i and 8.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 165, 164, 163?\n\"Answer: -h + 166","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1 + 0 + 3)*714\/84. Suppose -w + t*f - 22*f = -1334, -2*f - 2620 = -2*w. What is the units digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -h**3 + 8*h**2 + 9*h + 3. Let k be a(9). What is b in 5*b**2 - 4885 + b**5 + 6*b**k - 7*b - 3*b**2 + 4888 - 5*b**4 = 0?\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-153)\/(-18) - 8)*(1 + -1). Suppose i + a*i - 319 = -o, -4*i + 638 = 2*o. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5341 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4\/6 + (-1)\/(-3). Let y = b + 2. What is the first derivative of -2*o**3 - y*o**3 + 2*o**3 + 3 wrt o?\nAnswer: -9*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 7 - 3. Let g be 1*3 + (-2)\/((-14)\/7). Suppose -4*p - c + 219 = 0, -g*c = a*p - p - 174. Is 18 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 114843?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 6674, 13353, 20032, 26711, 33390?\n\"Answer: 6679*z - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2942*k + 2*g = 1469*k + 1471*k + 16 + 54, 3*g - 97 = k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3 - -11. Let s be -2 - (0 - u - -2). Suppose m + s = 2*m. What is the units digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = -3*n + 395. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -764, -0.389, -72 in descending order.\nAnswer: -0.389, -1, -72, -764","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 6824 = -2*k, 3412 = -0*k + k + y. Is 3 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = k + 1, -4*k = 4*i - 0 + 4. Let n = k + 5. What are 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 difference between -751 and 5922873122?\nAnswer: 5922873873","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 6542 a factor of 280089719?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that -4*l**4\/11 - 337*l**3\/11 - 6792*l**2\/11 + 13115*l\/11 + 3698\/11 = 0.\nAnswer: -43, -1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 219868?\nAnswer: 2, 11, 19, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - (1 - (5 - 7) - 0)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -2*x - 17. Let n(r) = 5*r + 53. Let z(q) = 7*h(q) + 2*n(q). Let w be z(-4). Let c(u) = 4*u + 3. Calculate c(w).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -5181, -10250, -15319, -20388, -25457?\n\"Answer: -5069*m - 112","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 185 - 61. Calculate the remainder when y is divided by 21.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 8*f**3*q - 23*f**3*r - 2*f**3 - 4*q*r + 2*q wrt r.\nAnswer: -23*f**3 - 4*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 784 is divided by 153.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(114) + sqrt(114) + -4*(sqrt(114) + sqrt(114)*-1 + sqrt(114)) + sqrt(114) + sqrt(114) + 3*2*sqrt(114))\/(6*sqrt(216) + sqrt(96)))**2.\nAnswer: 171\/400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -o. Let c = -888 + 901. Let n(i) be the second derivative of 2\/3*i**3 + c*i + 0 + 0*i**2. What is n(r(d))?\nAnswer: -4*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + r = 23, 4*k + 0*k + 3*r = 89. Let u = 3 - -7. Calculate the least common multiple of k and u.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 61140 (b) -5 (c) 2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 7*f - 5. Let s(j) = -6*j + 4. Suppose 0 = -15*d - 64 - 11. Calculate d*s(g) - 4*w(g).\nAnswer: 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -11, -102, -247, -440, -675, -946, -1247?\n\"Answer: b**3 - 33*b**2 + b + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3\/7, 163, 1\/7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 937.87213 to one decimal place.\nAnswer: 937.9","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: What is -124545812 rounded to the nearest 100000?\nAnswer: -124500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 53\/4 of a kilogram?\nAnswer: 13250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -83 + (18 - (9 - 27)) + -16.\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -54, -457, -1554, -3693, -7222, -12489, -19842?\n\"Answer: -58*h**3 + h**2 + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5*f**3*r**3 + 4*f**3*r**2 - 52476*f**3*r + 11*f**3 - 3406745*f**2*r**3 wrt r?\nAnswer: -30*f**3 - 20440470*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 2 p when three letters picked without replacement from {e: 2, p: 2, s: 1, l: 2, u: 1}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5782, 11563, 17344, 23125, 28906, 34687?\nAnswer: 40468","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 887980 by 88.\nAnswer: 221995\/22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5268 + -5245. Suppose -3*j + j + 48 = 0. Suppose -914 = -j*w + t*w. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 18 - 5*z**2 - 77\/6*z - 1\/6*z**3 = 0. Calculate z.\nAnswer: -27, -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -160807058*n**2*v**5 + 3*n**2*v**2 - n**2 + 658*v**2 - v - 3702 wrt v.\nAnswer: -9648423480*n**2*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*g - 5*g - 285 = 0. What is the greatest common factor of g and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 15*(2 + (-15)\/9). Let s(l) be the third derivative of 1\/60*l**k + 0*l**4 + 0*l**3 - l**2 + 0 + 0*l. Let y(n) = 2*n. Give y(s(i)).\nAnswer: 2*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -2*r**3 - 45*r**2 - 58*r - 129. Determine x(-21).\nAnswer: -234","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -89*f - 2*f**2 - 16 - 26 + 87*f to the form d*f + q + z*f**2 and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vdqt when four letters picked without replacement from cdqvtiq.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5743 - 5739. Let u(i) = i. Let b(x) = -4*x - 1. What is n*u(p) + 2*b(p)?\nAnswer: -4*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 26707487 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -193446*d - 773861. What is o(-4)?\nAnswer: -77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/2)\/((-23)\/46).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -18 + 18. Suppose 4*l + 5*f - 30 = w, -3*f = 4*l - f - 24. Solve 3*s - 9 = 0, -9 = -d + l*d + s for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the first derivative of 6*m - 11\/2*m**2 + 1. Let s(d) = 99*d - 55. Let r(c) = -55*b(c) - 6*s(c). Let f(v) = v**2. Determine r(f(o)).\nAnswer: 11*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2 - -40?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 91 and 71045?\nAnswer: 497315","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 165072986?\nAnswer: 2, 13, 101, 62861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -368 + 386. Suppose -17 = -5*m + a. Solve m*r = 8*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -9*n**2 - 13*n - 7. Let l be w(-13). Find the common denominator of 123\/20 and (0 + l\/6)\/(-27).\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -15*h**3 - 7*h**2 + 9*h - 9. Suppose 2*p = -p + 3*m + 9, 5*p + m = 21. Let l(w) = -8*w**3 - 4*w**2 + 5*w - 5. What is p*r(k) - 7*l(k)?\nAnswer: -4*k**3 + k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5\/7, 2, -4, -0.4, -4\/11 in increasing order.\nAnswer: -4, -5\/7, -0.4, -4\/11, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 220 and 209.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20 + -4 + -1 + (-1 + 3 - -1).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 5*q - 1. Let g = -31 + 47. Suppose 0 = -a - 3*a + g. Calculate the lowest common multiple of a and o(3).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -6 + 16*m - 26*m - 4 wrt m.\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (17\/(-5))\/(1\/(-5)). Let m(t) = 31 - 14 - c + 2*t. Determine m(6).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 47 + -9. Suppose 0 = 3*h - 2*h - m. Is h a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5218.485 decades to centuries.\nAnswer: 521.8485","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) be the first derivative of -u**6\/75 + 2*u**5\/25 - 23*u - 68. Let m(o) be the first derivative of b(o). Find v such that m(v) = 0.\nAnswer: 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7174 is divided by 342.\nAnswer: 334","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5 * 1633.\nAnswer: 816.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 5*x + 5*x - 7*x + 1 - 1. Let b(w) = 2*w - 2*w - w. What is b(d(r))?\nAnswer: -3*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*l - 21*c + 42, 3*c - 6 = -4*l + l + 5*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -300\/103 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-30)\/8*(-250)\/375. Which is the second smallest value? (a) -4 (b) 56\/3 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 49, 108, 203, 352, 573, 884?\nAnswer: 1303","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -157318.4 + 155521.858. Let a = -1798 - v. What is a rounded to 2 dps?\nAnswer: -1.46","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in -2\/3, -0.5, 2?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8474758 years in months?\nAnswer: 10.1697096","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 9\/10 of a micrometer?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 81 (base 14) to base 13.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -3184, -3185, -3186, -3187, -3188?\n\"Answer: -a - 3183","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 11*i**2 - 14*i**2 + 23 + 99*i**2 - 20 in the form x + p*i**2 + q*i and give x.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 2*d + 4 = -4*w, -d = 5*w - 4. Suppose d = 4*u - 5*b - 12, -u + 7 = -2*b. Let h be (-351)\/(2 + -1) - u. What is h rounded to the nearest one hundred?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 11\/6 and -103\/1345578?\nAnswer: 1345578","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oaom when four letters picked without replacement from {s: 3, m: 5, o: 4, a: 5, u: 1}.\nAnswer: 5\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 2654878 (base 9) to base 4\nAnswer: 11202320300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000000413 rounded to seven decimal places?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -55*m + 5 - 92*m - 6 + 63*m - 51*m as w + u*m and give u.\nAnswer: -135","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 3*n = u - 17, 19 = 2*u + n. Let j = u - 7. Let r(h) = -2*h - 8. What is the lowest common multiple of j and r(-6)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*x - x**5 - 3*x + (-x**2 - 2*x**3 + x**2)*(1 - x**2 - 1) - 3*x**3 + x**5 + 3*x**3 + 7*x**5 - 17 + 17 - 30*x + 33*x - x**5 - x**5.\nAnswer: 7*x**5 + 3*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-11)\/v*(v\/(v**9\/v))\/v)\/((v**(-4)\/v*v)\/(v\/v**(1\/2)*v)))**(4\/17) assuming v is positive.\nAnswer: v**(-58\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 34705160 to the nearest one million.\nAnswer: 35000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.4, 23, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = w - 2. Let q(p) = p**3 - p**2 + p - 1. Calculate o(v) - q(v).\nAnswer: -v**3 + v**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -9496, -9051, -8604, -8155, -7704, -7251?\n\"Answer: z**2 + 442*z - 9939","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i - 5*q = 30, 2 = 2*i - 0*q - 3*q for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s**3 - 3*s**2 + 2*s + 2. Let d be j(-2). Let i(k) = 3*k**3 - 5*k**2 + 7*k + 9. Let w(f) = f**3 + 1. Let n(q) = -i(q) + 4*w(q). Determine n(d).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((4 - 2 - 1)*(3 - n - 3) + n - 2 + 3 + n)*(-4469 + 0*n**2 + 4391 - 4*n**2 + (n - 6*n + 4*n)*(-4*n + n + n)) to m + v*n + y*n**2 + j*n**3 and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -o**3 + 33*o**2 + 81*o + 952. Give f(36).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -81\/2000 and 39\/684800?\nAnswer: 3424000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 216597573?\nAnswer: 3, 47, 479, 1069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 10\/30*18\/1. Does 17 divide (-84)\/(-56)*436\/z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 45 = -129. Is 2 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 2*x - 5. Let g be a(4). Suppose -4*f - f + p = -g, 2*f - p = 0. Let u = 18 + f. What are the prime factors of u?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hf when two letters picked without replacement from zyyhygzayyyyfag?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 313236155 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) be the third derivative of -a**6\/24 - 113*a**5\/12 - 275*a**4\/4 + 371*a**2 - 7. Factor g(z).\nAnswer: -5*z*(z + 3)*(z + 110)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 4*b + 35. Let z be f(-10). Let l(p) = -p - 1. Let n(s) = 17*s + 4. Let d(y) = 5*l(y) - n(y). What is the hundreds digit of d(z)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -21 (base 5) to base 8.\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5)\/(13*-20)*-10*1)\/((-1390)\/1112)?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -z**2 - 1. Let g be k(-2). Let n = -7.52 + -152.48. Let i = n - -160. Which is the closest to i? (a) -1 (b) 4 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*q**2 - 23*q**2 + 3*q**2 + 0*q**2 to the form x + v*q + a*q**2 and give a.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.045 and -38.033?\nAnswer: 1.711485","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00001306 to six decimal places.\nAnswer: 0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3936 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1404*v + 2604*v + 272560 + 160811 = -3595*v for v.\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = a**2 + 8*a - 6. Let q be w(-9). Suppose q*p + 20 = h + 4, 2*h - 3*p = 17. Is (h - (-35)\/2)*2 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13*g + 2*g + 191 - 59 - g**2 - 48 to u*g**2 + b*g + i and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 209092*w**4 - 169641*w?\nAnswer: 2509104*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1967874 + -1968050.9634. Let p = 234 - 57. Let g = p + h. Round g to 3 dps.\nAnswer: 0.037","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = j**2 + 4*j - 11. Let m be f(5). Suppose 205 = -w + 6*w - 3*b, w - 2*b - m = 0. Let t = 885 + w. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-138)\/9 - (-8)\/(-12). Let a = f - -18. Solve 5*g + 8 = -a for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 442229348?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 2*d**2 + 4*d + 3. Let s(a) = a + 1. Let u(x) = x**3 - 7*x**2 - 21*x + 5. Let w(n) = 2*s(n) + u(n). Let z be w(9). Determine y(z).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + -4*(sqrt(99) - 3*sqrt(99)) + 5*(sqrt(99) + -4*sqrt(99)))**2 + -4.\nAnswer: 4847","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the third derivative of -l**6\/120 + 3*l**5\/20 + l**4\/4 + 5*l**3\/3 - 163*l**2 - 1. Let s be i(5). Calculate the greatest common divisor of s and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 33810, 67617, 101424, 135231?\n\"Answer: 33807*m + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 632 and 64700.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c + l = c - 11, -4*l = -3*c + 32. Calculate the greatest common factor of 108 and c.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1462 and 1513.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 10*g**2 - 11*g**2 - g**3 - 3*g**2 - g. Let o be y(-4). Suppose 4*n - 152 = 2*x, 0*x = n + o*x - 56. What is the units digit of n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11 + 6 = -z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0*(1\/(-2))\/(3\/(-3)). Suppose 0 = m + q - 1, 3*m - 3*q - 9 = -w*m. Let v be -2 - 8\/(-2) - -2. Solve -2*u - y - 1 = -v, 3*y = -m*u + 1 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c + y - 92 + 88 = 0, 0 = 5*c - 9*y - 16 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 10 + 0. Let x = 13 - g. Let z be (-1 - (-2 + -3))\/2. Solve i + x = -z for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 5*x + 1 = -0*a, -3*a - 2*x = -8. Suppose -10*h + a = -18. Solve 2*u + 10 = h*p, 5*p - 4*u - 17 = -u for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*d + 2 - 2)*(3 - 3 - 2*d + (2 - 4 + 3)*(5*d + 3*d + 0*d) + 0*d + 2*d - 4*d).\nAnswer: 8*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -63 - (67 + -64) - (-24 + 1)?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 6280072 divided by 1514?\nAnswer: 4148","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 103.2 - -14.8. Let v = c + -118.00066. What is v rounded to 3 dps?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10010 (base 2) in base 16?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 16 - 12. Let g(i) = -4*i - 5*i + 0*i + s + 5*i. Let k be g(1). Which is bigger: -4\/91 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -s**3 - 5*s**2 + s + 6. Let v be u(-5). Suppose -4*n = -7 - v. Solve 0 = -2*j - 0*j - 4*r + n, -r + 17 = -5*j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(-2\/35)\/(t*t**(-12\/5)) assuming t is positive.\nAnswer: t**(47\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7255 by 7.\nAnswer: -7255\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-10360)\/50)\/14*((-9425)\/(-58))\/65.\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.19*-42.\nAnswer: -7.98","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32018?\nAnswer: 2, 7, 2287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i**3 + 24580*i**2 - 49140*i = 0 for i.\nAnswer: 0, 2, 4914","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2456 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 40 = 3*o. Let i be (-56)\/(-7)*(-74)\/o. Suppose 7*q - i = 5*q. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 13, -5.4, -4, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 4*v**2 + 6*v - 30. Calculate y(-5).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 175 divide 494550?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4\/35 - -17\/35. Factor 6\/5 - v*s**3 + 3*s - 3\/5*s**4 + 9\/5*s**2.\nAnswer: -3*(s - 2)*(s + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -956.2 times 0.06?\nAnswer: -57.372","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -5 (b) -384 (c) -1\/3 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3.168 - -0.072. Let h = -3 + i. Let w = 0.06 + h. Which is the nearest to 0? (a) -5 (b) -3 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 338 + 1658 = -4*o, -1760 = -4*x + 5*o. List the prime factors of x.\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*q - 4*q + 2*q)*(-1 + 1 + 6)*(2*q**3 - q**3 - 2*q**3).\nAnswer: 12*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 1170 (base 9) to base 12\nAnswer: 609","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*s + s. Let p(j) = j**3 - 13*j**2 + 13*j - 50. Let n be p(13). Let u = -120 + n. Sort 2, s, u in decreasing order.\nAnswer: 2, s, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -17*w + 19*w + 5*t + 6, 3*t = 4*w - 14. Solve -w*a + 319 = 325 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7*a + 3*a + 12*a**6 - 8*a**2 + 4*a wrt a?\nAnswer: 1440*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1128313 divided by -3.\nAnswer: 1128313\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -14 - -22. Let y = 5 + q. List the prime factors of y.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -53616, -53622, -53634, -53658, -53700, -53766, -53862?\nAnswer: -53994","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 16690 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 69*q + 89 - 89. What is the third smallest value in -2, q, 2\/55?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*t - 4, -6*q + 3*q - 2*t + 5 = 0. Calculate the smallest common multiple of q and 14\/(-3)*(-9)\/6.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 13627?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 2*d**3 - 24*d**2 - 22*d + 76. What is o(14)?\nAnswer: 552","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hhtg when four letters picked without replacement from ghhhgtgjth?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-9)\/(-6) - 1)*6. Suppose 0 = -v*w + 8 + 4, -4 = -h + 4*w. Find k such that 30*k + 5*k + h + 25*k**2 + 6*k**3 - k**3 - 5 = 0.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, 0, 0.2, 3\/154, -5 in decreasing order.\nAnswer: 0.2, 3\/154, 0, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -12 in -5, 0.2, 12, 0.3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/1215 (b) -0.3 (c) -2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 68487 or 68493?\nAnswer: 68487","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -127667 + -3?\nAnswer: -127671","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -682 - -442. Let q be (-21)\/3*c\/7. Let j = -166 + q. What are the prime factors of j?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 132286?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -n**3 + 3*n + 2. Let z be l(0). Is -3\/61 > z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*d - 0*d + 15. Let z(h) = h**3 - 2*h**2 - 5*h + 4. Let u be z(3). Is u\/d*(-18)\/4 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 3, t: 4, l: 6}. Give prob of picking 1 t and 2 b.\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3161 is divided by 51?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 3 - 1)*(-6*x**2 + 2*x**2 + 3*x**2) - 21*x - 4 + 8*x**2 + 19*x + 2.\nAnswer: 10*x**2 - 2*x - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1928*u - 72 = 1904*u for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/(-1)*(-6)\/(-945)*7?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -3\/4, 318, -3\/2, 2, -950.\nAnswer: -950, -5, -3\/2, -3\/4, 2, 318","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 74412?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 13 in -0.13, 2\/7, -4, 5, 0.08, -21?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -83\/103850 and 1\/12898170?\nAnswer: 64490850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 15066 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yby when three letters picked without replacement from yybybbyybb.\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 > 4\/215?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 6487.861 years?\nAnswer: 6.487861","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -105*r = -3341 + 1976 for r.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 minutes after 4:31 AM?\nAnswer: 4:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 3*j = -9, 4*j = 4*a + j - 12. Suppose -2*o = 3*b - 5*b + 14, 0 = -4*b - 3*o. Let q = b + a. Calculate the lowest common multiple of 8 and q.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -11484, -11412, -11294, -11130, -10920?\n\"Answer: 23*s**2 + 3*s - 11510","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*r**2 + 3298*r**3 - 2*r**2 + 5 - 3297*r**3 + 3*r**2 as q*r**3 + p*r + f*r**2 + o and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -g**3 + 4*g**2 + 32*g + 51. Let p be y(-2). Sort p, 3\/8, -3\/5 in decreasing order.\nAnswer: p, 3\/8, -3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -0.01 (b) -10 (c) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*w + 1885 = 3*w. Suppose w*m + 24 = 151*m. Solve 5*p = -10, -m = -2*l + l + p for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 677503 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1023 is divided by 54.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*k**3 + 279*k**2 - 216*k wrt k?\nAnswer: 12*k + 558","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 3 = -q, 5*z - 3*z + 22 = 2*q. Let x be (q\/21)\/((-1)\/69). Let t = -15 - x. Is 15\/2 != t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 47471?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-41 - (-35 + -6)) + 18\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 9973140 divided by -30?\nAnswer: -332438","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 178532833 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n when two letters picked without replacement from mbbmbmnn?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 113 - -1101334?\nAnswer: 1102002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - -2 - -3 - (30 - (53 + -26)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -6 greater than or equal to 15450\/4009?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -954, 154 in ascending order.\nAnswer: -954, -3, 154","meta":{"dup_signals":{},"source":"comparison__sort_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: Let v(h) be the second derivative of 3*h**5\/10 - h**4\/6 + 194*h + 2. Let a(c) = -c**3 - 1. Determine 4*a(i) + v(i).\nAnswer: 2*i**3 - 2*i**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 8 and 135692?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that -4*a**5 - 24640*a**4 - 172332*a**3 - 295344*a**2 = 0.\nAnswer: -6153, -4, -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 29224541 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9\/((-216)\/(-40))*42\/(-60).\nAnswer: -7\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 2*f**2 - 3*f + 4. Let i = -23 + 36. Let j = -5 + i. Let l(b) be the first derivative of -5*b**3\/3 + 4*b**2 - 11*b + 4. Calculate j*c(a) + 3*l(a).\nAnswer: a**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3346728 divided by -12.\nAnswer: 278894","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 107*h + 9078. What is r(-78)?\nAnswer: 732","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 33 and 24.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 197 and 104016.\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 266 + -387. Let k = z - -145. Suppose 17*w = 5*w + k. Which is the biggest value? (a) w (b) -0.14 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) be the first derivative of -139*c**3\/3 + 3*c**2\/2 + 1066*c + 883. Find the first derivative of r(a) wrt a.\nAnswer: -278*a + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is h in 20*h**5\/23 - 58*h**4\/23 - 12*h**3\/23 + 98*h**2\/23 + 8*h\/23 - 24\/23 = 0?\nAnswer: -1, -3\/5, 1\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 131 is divided by 43.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-20)\/(-15)*12\/(-4)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 3*l)*(-3*l + l + 4*l)*(-2*l**2 + 3*l**2 + 0*l**2).\nAnswer: 6*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-6 - -16) + -12 - (-1 - (-4 - 4))\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44*w - 39*w + 25 = 0 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -31\/1572616 and 25\/1327822?\nAnswer: 281498264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = o + 2, 0 = 5*o - 2*o - 2*z - 22. Suppose -o - 20 = -3*b. Let k be (-1 + -3)*(-1)\/2. Calculate the highest common factor of k and b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -2*a**3 - 119*a**2 - 61*a - 124. What is k(-59)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 36630, 146764, 330744, 588918, 921634, 1329240, 1812084, 2370514?\nAnswer: 3004878","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -322, -171, 930, 3455, 7878, 14673?\nAnswer: 24314","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.05243 rounded to 3 dps?\nAnswer: 0.052","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-h**2 + h**2 - h**2)*(513 + 4586*h - 9168*h + 4581*h) to b + r*h**3 + n*h**2 + d*h and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6015.\nAnswer: 3, 5, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 15 = 0, -2 = 2*l + t - 11. Solve -6*c + 4*c - 8 = 0, 0 = -l*v - 4*c - 8 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -37, -115, -193, -271, -349, -427?\n\"Answer: -78*o + 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -14*f**4 + 115*f**3 + 588*f**2 - 3 wrt f?\nAnswer: -336*f + 690","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 581 minutes after 10:41 AM?\nAnswer: 8:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 109498?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -3*f**3 + 5*f**2 + 5*f + 2. Suppose -2*t - 9*t - 33 = 0. List the prime factors of h(t).\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = b - 4. Let i be (-9)\/21 - 236\/(-28). Let u be f(i). Solve 5*c = c - u for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:45 AM and 6:40 PM?\nAnswer: 655","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6 + 7. Let l be d + 2\/(-3 + 1). Suppose h - 25 - 16 = l. Calculate the remainder when h is divided by 21.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 337 + -332. Let o(j) = j**2 - 11*j + 37. Let c be o(t). Let z(r) = r**2 - 3*r. Let g be z(4). Solve m - s - c = -4*s, -m + g*s - 21 = 0 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -11 - -9. Let t be m\/5 + (-4)\/(-10). Suppose -f + 2 = -t*f. Solve 12 = f*n + 2 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -4587, -18382, -41383, -73596, -115027, -165682, -225567, -294688?\n\"Answer: -x**3 - 4597*x**2 + 3*x + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the second derivative of -2*n**7\/21 - 25*n**4\/12 + 31*n. Find the third derivative of j(i) wrt i.\nAnswer: -240*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2 (b) -2900\/7 (c) -4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) be the first derivative of 4*s**2 + 12*s - 8. Let d be j(7). Find the second derivative of 68 - 4*a**2 - d - 2*a wrt a.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.1, -1.03, -5, 3\/2, 3?\nAnswer: -1.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3231897980?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -3*m + 4. Let u(r) = -r. Suppose 2*v - z + 4 = -3, 2*v + 3*z = 13. Let g(o) = v*p(o) - 4*u(o). Find the first derivative of g(n) wrt n.\nAnswer: 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 2*a - 20. Let z be t(11). Suppose c + 2676 = v - z*v, -5*v - 3*c - 13388 = 0. Round v to the nearest 100.\nAnswer: -2700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 78447152 and 4865?\nAnswer: 392235760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 70 and 18256.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 1, m: 11}. What is prob of picking 2 m and 1 o?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:23 PM and 12:01 AM?\nAnswer: 158","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -0.02+-13\nAnswer: -13.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 1234123410 (base 5) to base 8\nAnswer: 13451711","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 10*f - 134. Let z be j(14). Solve -4*d - z = -18 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -91, -145, -295, -589, -1075, -1801, -2815?\n\"Answer: -8*w**3 + 2*w - 85","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 126 and 8163?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5 - 7. Let n be 1 - 1*z\/4. Which is the closest to 1? (a) -1 (b) -4 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u**(-8)*u*u*u**(-2\/13)*u\/u**(-2\/5)*u**(-4\/9))**(-1\/11) assuming u is positive.\nAnswer: u**(2456\/6435)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: ((-620)\/8)\/((-1000)\/(-400))\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*x - 2\/11*x**2 + 0.\nAnswer: -2*x*(x + 11)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express f**2 + 0*f**2 + f + 6*f + (3*f**2 - f**2 - 4*f**2)*(-1 - 1 + 1) as v*f + i + y*f**2 and give v.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -230*u**2 - 338*u**4 - 112*u**2 - 46*u**2 + 51*u**2 wrt u.\nAnswer: -8112*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26 is divided by 3 - (-4)\/(-2 - -3).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 79.3065 meters?\nAnswer: 79306500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*c - 114 + 30 = 0. Solve 0 = -3*k - t + 2 - 13, -4*k = t + c for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 197, 193, 189, 185?\nAnswer: 181","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -725 + 0*w + 3*w + 501 to m + b*w and give b.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -h + 10. Let k be t(8). Suppose p + 4*s - 2 = -6, k*p + 4*s + 4 = 0. Find the first derivative of p + 2 + x + 0 wrt x.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/70)\/1*((-70)\/32)\/((-10605)\/(-3030)).\nAnswer: 1\/112","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -3*c**3 - 40*c**2 + 1240*c + 16971. What is d(-14)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 31*b**2 + 25*b + 160. Let g(o) = -15*o**2 - 13*o - 89. What is -4*d(i) - 7*g(i)?\nAnswer: -19*i**2 - 9*i - 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7505, -59806, -201769, -478226, -934009, -1613950?\nAnswer: -2562881","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-1*sqrt(320))**2.\nAnswer: -320","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1770745 to the nearest integer?\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1150 and 119470?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g*g*g\/g**(3\/4)*g)\/g**(-4\/7)*g\/((g**(-1\/11)\/g*g)\/g)*g**(2\/11)\/g*((g*g**(-6\/7)*g)\/(g*((g*((g\/g**9)\/g)\/g*g)\/g)\/g))**(-2\/53) assuming g is positive.\nAnswer: g**(13319\/2332)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:02 PM and 11:21 PM?\nAnswer: 559","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xccxzrczzxxxccc. Give prob of picking 2 c and 1 x.\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 311437 (base 8) to base 4\nAnswer: 121030133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put together 607485278386.94 and 5.\nAnswer: 607485278391.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*m**3 + 2*m**4 + 2*m**2 - 3*m**3 - 2*m**2 + 2*m**2 - 2 to the form q*m**2 + z*m**4 + b + t*m + f*m**3 and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.3441158 rounded to one decimal place?\nAnswer: 1.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Are 6836770 and -2\/5 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*c**2*g + 1927*c**2 + 88*c*g**2 - 10358389*g**2 wrt c.\nAnswer: -6*c*g + 3854*c + 88*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2438 or -2436?\nAnswer: -2436","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3811*j**3*o*z**2 + 4*j**3*o + 4*j**3*z**2 - j**2*o*z**2 - 2*j**2*z**2 - 2*j*o - 3*j*z**2 + 808*o*z + 2*z wrt j?\nAnswer: 22866*o*z**2 + 24*o + 24*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = w**3 - 6*w**2 - 7*w + 4. Calculate s(7).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-28)\/20 + (-4)\/(-10). Suppose 0 = -4*j - 12 + 36. What is the least common multiple of (10\/8)\/(w\/(-8)) and j?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -2*r**3 - 2*r**2 + 3*r + 2. Let w be l(-2). Let f = 4 - 3. Solve -w*i = -f - 3 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 4*r + 0*r = 6, -5*o - 4*r = -27. Sort 8, 1, o, -5.\nAnswer: -5, 1, o, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 231*b - 1. Let a be g(8). Let w = a + -832. Suppose 5*n = -3415 + w. Round n to the nearest one hundred.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1.4 + 1. Sort 2, w, 0.3 in decreasing order.\nAnswer: 2, 0.3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*v**2 + 57*v - 60.\nAnswer: 3*(v - 1)*(v + 20)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 455070 divided by 6?\nAnswer: 75845","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*d + 31*d - 5*o = 5, -1 = -4*d + o. Let p(k) = -5*k**2 - 2*k + 57119. Is p(d) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 2*k - 1. Let q be c(1). Let t be -1*(2 + -2 - q). Let a be (-21)\/(-9) + 3\/(-9). Is t smaller than a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 32057, 1, -13, 0.18?\nAnswer: 32057","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 61\/150 and -11\/6.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 5*n - 7. Let v be q(2). Solve 2*b - 2 = -4*z, v*b - z - 6 = -4*z for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven thirds of a century in months?\nAnswer: 2800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*r = 5*b + 20, 5*b = -13*r + 14*r - 6 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 62 = 118. Calculate the greatest common factor of h and 70.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/(-17) - (-3)\/((-153)\/312). Let t(v) = -680*v. Let q(i) = 34*i. Let f(s) = x*t(s) - 119*q(s). Let c(z) = 2*z**2. Give c(f(b)).\nAnswer: 2312*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -560905970*b**2 + 16031*b - 14155 wrt b.\nAnswer: -1121811940","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -41 - -43. Suppose d*n + 5 = -3*r + 4, r - 2*n = 5. Let q(c) = 2*c**2 + 6*c + 1. Let g be q(-4). What is the greatest common factor of r and g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-4 + 2 + 1)*(-18 + 38 + 28) - 1 - 1 + 1)*(3*i + 4 - 11 - 2*i).\nAnswer: -49*i + 343","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 100716293 divided by -3.\nAnswer: -100716293\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 288*b**2 - 1314*b?\nAnswer: 576","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by 118626.\nAnswer: 1\/59313","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*q**4 - 80*q**3 + 172*q**2 + 8720*q + 28050 = 0. Calculate q.\nAnswer: -5, 17, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -v**3 - 12*v**2 + 7*v - 76. Let s be t(-13). Let w be (-2 - 1)\/(45\/(-12)*s). Which is the closest to w? (a) -4 (b) 2\/9 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1266511?\nAnswer: 1266511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the first derivative of -2*c**3\/15 + 176*c**2 - 77440*c + 718. Find s such that q(s) = 0.\nAnswer: 440","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let g = -40.4 + 39.4. Which is the closest to g? (a) 0.4 (b) -19 (c) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -b**3 + 160 - 12*b**2 - 260 + 16*b + 146. What is the units digit of i(-13)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 132 + -5. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 171*c**3 - 71*c**3 + 407*c**3 + 29*c**3.\nAnswer: 536*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*l**3 - 4*l**3 + l**3 + 2*l**3 + 0*l**2 + 0*l**2 + (2*l**2 - 2*l + 2*l)*(2*l + 2 - 2))*((-6 + 1 + 3)*(-l + 6*l - l) + 5*l + 2*l - 5*l).\nAnswer: -30*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 greater than or equal to -2\/155?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2523958 is divided by 19.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 19, 22, 25, 28, 31?\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*i + 12 = -10*i. List the prime factors of i.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2 + 1)*(-1 - 2*u + 1) - 303*u + 39977 - 39977 + (3 + u - 3)*(-2 - 3 + 4) - 2*u + 0*u + 4*u + 0*u + 0*u + u.\nAnswer: -297*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 108 divide 234594?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*p**2 + 0 + 43*p**3 - 41*p**3 - 2 + 4*p + 1.\nAnswer: (p - 1)**2*(2*p - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 13542\/(-185)*562\/(-6) - 4\/10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -241 - -12.4\nAnswer: -228.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*w**3 - 2*w + w**3 + 5*w**4 - 8*w**3 - 2*w**4 in the form r*w + h + q*w**3 + p*w**2 + z*w**4 and give z.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k**4 - 234687*k**3 + 1408194*k**2 - 2816436*k + 1877640 = 0. What is k?\nAnswer: -78235, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 17442204 and 69.\nAnswer: 401170692","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3003 + 3001. Let b = -1.02 - -1. Let y be 4 + -2 + 10\/(-7). Sort b, y, p.\nAnswer: p, b, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a hour in minutes?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 11*j**4 + 12*j**3 - 65*j**2 - 6*j.\nAnswer: j*(j - 2)*(j + 3)*(11*j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -9 * -0.6\nAnswer: 5.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the first derivative of 0*s - 23\/2*s**2 - 17 + 0*s**3 + 0*s**4 + 17\/5*s**5. What is the second derivative of p(g) wrt g?\nAnswer: 204*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -3*y + 18. Let u be h(7). Let g be u\/(22\/6 + -4). What is the greatest common divisor of 27 and g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3711247*t - 3711242*t - t**3 + 7422489*t.\nAnswer: -t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the first derivative of -v**4\/16 + 17*v**3\/12 - 31*v**2\/8 + 15*v\/4 + 77. Factor m(d).\nAnswer: -(d - 15)*(d - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -31, 590, -3, 5 in increasing order.\nAnswer: -31, -3, 5, 590","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k\/(((k*k\/(k*k*k*k\/((k\/(k\/((k**(-1\/3)*k)\/k)))\/k*k)))\/k)\/k))**19\/(k**(-1\/4)\/k*k*k*k\/k**6) assuming k is positive.\nAnswer: k**(1495\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h when two letters picked without replacement from qqqdqqqqdqddhdduqu.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 61 = 5*s + 21. Let o = s + -1. Is o a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 131374089.\nAnswer: 3, 7, 11, 29, 2179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 113249595.4012468 + -113249304. Let b = v + -434.4012359. Let h = 143 + b. Round h to six decimal places.\nAnswer: 0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -96 - -97. Solve 0 = -3*n + v - 4 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1450 = 4*t - 1514. Solve -a - t = -5*a + 4*n, 4*n + 17 = 5*a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 0, 104, 448, 1152, 2336, 4120, 6624?\n\"Answer: 20*b**3 - 36*b + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -45\/14 and 59\/2.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.386701 rounded to three decimal places?\nAnswer: 0.387","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(45) + sqrt(45)*-2)*6)\/(sqrt(144) + sqrt(144) + -4*2*sqrt(144) + sqrt(144)).\nAnswer: -3*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 4, j: 6, l: 4}. What is prob of picking 3 q and 1 l?\nAnswer: 16\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -l**3 + 14*l**2 + 125*l + 743. Give m(23).\nAnswer: -1143","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -80.44811 to the nearest 10.\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0.5 (b) 458 (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*i + 4*f - 28 = 0, -323*f + 5 = -5*i - 318*f for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 2302*t + 9224. What is h(-4)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that c**3 - 1828*c**2 - 11004*c = 0.\nAnswer: -6, 0, 1834","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/4*-2*5. Let w be 2\/2*(6 + j). Let t be -3 + 6 + w\/1. Calculate the highest common divisor of t and 32.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1131 divided by -87.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -15\/32207 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -27 + 45. Suppose 0 = n - 4*b + k, 0 = -0*n + 3*n + 3*b - 21. Factor -3*v**3 - v**3 + n*v + 3*v**5 - v**5.\nAnswer: 2*v*(v - 1)**2*(v + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/(3\/(-1)))\/((-3)\/6)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the first derivative of -t**4 - 4*t**3\/3 - 5*t**2\/2 - 2*t + 4. What is the units digit of i(-2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2191.03182 rounded to the nearest one hundred?\nAnswer: -2200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = b - 1. Give u(0).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 36515\/25 - 30\/(-75)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = d**2 + 9*d - 19. Let o be ((-2)\/(-3))\/(36\/(-594)). Determine z(o).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 355.59 + -356. Let l = h + 0.986. What is l rounded to two decimal places?\nAnswer: 0.58","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -0.16, 3.4, -2\/7, -1, 2\/9, 7?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (24\/(-36))\/((-2)\/12). Which is smaller: 8\/3 or s?\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 791 divide 1575179207?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*m**5 + 262*m**3 + 53*m**2 + 108395184*m?\nAnswer: 60*m**3 + 1572*m + 106","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1201698 by -3.\nAnswer: -400566","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -2*u + 188. Calculate the remainder when r(23) is divided by 66.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 3*m**2 - 20*m + 130. Is q(6) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 2140?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -15*o**2. Let s(x) = 5*x**2. Let j(r) be the second derivative of r**4\/2 - 10*r. Let a(k) = -4*j(k) + 5*s(k). Determine c(a(z)).\nAnswer: -15*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 2261?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 364*k - 6. Let r(b) = 121*b - 2. Let z(g) = h(g) - 3*r(g). Let s(p) = -p**2 + 3*p - 2. Calculate s(n) - 2*z(n).\nAnswer: -n**2 + n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 650340.\nAnswer: 2, 3, 5, 3613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:06 PM and 7:40 PM?\nAnswer: 274","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -35007, -140397, -316173, -562341, -878907?\n\"Answer: -r**3 - 35187*r**2 + 178*r + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 186 a factor of 26425705?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 7438 to the power of 1\/2, to the nearest integer?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 - 5 = 5*x. Let h(f) be the second derivative of -1\/9*f**4 + 7\/30*f**5 + 0*f**x + 5*f + 0 + 0*f**3. Factor h(k).\nAnswer: 2*k**2*(7*k - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*d**5 + 185349*d**4 + 2223864*d**3 + 6671268*d**2.\nAnswer: 3*d**2*(d + 6)**2*(d + 61771)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 870 and 26518335?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1505 (base 7) to base 16.\nAnswer: -251","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 647 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -10, -1\/2, -49.972?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -8, -0.5, -7\/6, 5, -1?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*s + 2*a, 2*s + 7*a - 4*a = 0 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2900, -2917, -2948, -2999, -3076?\nAnswer: -3185","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 73 + 5 = 0. Let o = m - -138. List the prime factors of o.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 859.\nAnswer: 859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:31 AM and 3:42 PM?\nAnswer: 371","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1990 - -29852\/15. Factor x*v**4 + 0 + 0*v + 2\/5*v**2 - 8\/15*v**3.\nAnswer: 2*v**2*(v - 3)*(v - 1)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -11 - 86. Let m = f + 96.9999892. What is m rounded to 6 decimal places?\nAnswer: -0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11122 - 22?\nAnswer: 11100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/3, -6\/193, -0.2, -47, -2?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -44366 divided by 3169\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 8058 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -15 - -8. Let k(v) = -v**3 - 6*v**2 + 7*v + 8. Let t be k(c). Suppose 0 = f - t. What is the remainder when f is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4 - (-4 + (4 - 6))) + 1. Solve 0 = -j*k - 0*k - 6 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 2*u)*(2*u - u + u) + u**2 + 2*u**2 - 2*u**2.\nAnswer: 5*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 661?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9632?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 61 + -59. Suppose -22 = -2*l - 4*v, 0 = -2*l + 3*v - v - z. Let p(s) = 99*s**3 - 6*s**2 - 5*s + 7. Is p(l) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 + 1 - 2)*(-14*r + 29*r - 19*r) - 3*r + 4*r + 0*r)*(0 + 2 - 3*r - 1).\nAnswer: -27*r**2 + 9*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -g + 10. Let s be y(5). Suppose s*c - c = -2*c. Let x(t) = -2*t + 14. Let a be x(c). Calculate the greatest common divisor of a and 98.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 30704 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -308, -621, -914, -1175, -1392?\n\"Answer: 2*k**3 - 2*k**2 - 321*k + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 2 = -14*x + 18*x, 35 = 5*x - 5*o. Which is the nearest to x? (a) 47 (b) 0.3 (c) -4 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 5 + 2 + sqrt(275).\nAnswer: 8 + 5*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 0 - -1011100111100111000000?\nAnswer: 1011100111100111000000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1864 + -7420. Is (-1 + -4)\/(-3*(-4)\/p) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -64440000 rounded to the nearest 1000000?\nAnswer: -64000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -26 - -88. Suppose 18*t - k = 10. Suppose 5*s + 5 = t*s + 4*l, 5*l - 10 = 0. Calculate the highest common divisor of s and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (12\/(-15))\/((-4)\/(-10)). Let x(r) = -r + 7. Let g be x(5). Let b be d + 4 + g - -4. Solve -3*l = -b*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4\/13? (a) 2\/13 (b) 3\/4 (c) -42.3 (d) -3 (e) -44 (f) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 2834, 2747, 2660, 2573, 2486, 2399?\n\"Answer: -87*l + 2921","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -576*a - 2*u + 46 = -585*a, 29 = -a + 5*u for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((12*-1)\/3)\/(6\/(-15)). Calculate the greatest common factor of 25 and l.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 110450 and 50.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(171) + 2 + sqrt(171) + sqrt(171))**2*5.\nAnswer: 180*sqrt(19) + 7715","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 121 = 13*i - 14*i + 20*m, 2*i + 116*m + 8 = 117*m for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 12 = 3. Let g(a) = 2*a - 5. Suppose 3*f + y = 8, 3*f + 10 = 7*f + y. Let c(z) = -1 + f - 4 + 4. Calculate t*c(k) + g(k).\nAnswer: 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4 + 5975058?\nAnswer: 5975062","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -236, -2, -9, 53?\nAnswer: 53","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the second derivative of -u**3\/6 + 2*u**2 + 4*u. Let d be v(-5). Solve 5*j - 1 = 4*r + 2, -r - d = -4*j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) be the second derivative of c**4\/4 - c**3\/2 + 17*c. Let x(u) = 0. Calculate u.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1040792.3 and 0.051204.\nAnswer: 1040792.351204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3056 is divided by 762?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 681706 is divided by 340674?\nAnswer: 358","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = 2 - 4. Let s(b) = -12*b**3 - 2*b**2 + 1. What is the lowest common multiple of s(y) and 4?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6.33 - -129.53. Let s = -123 + l. Sort 2, 0.25, s, 1.\nAnswer: s, 0.25, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 538 divide 531023356?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 42 and 42.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -90, -169, -246, -321, -394, -465, -534?\n\"Answer: s**2 - 82*s - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -84*h**3 - h**2 - 2*h. Let w be d(-1). Let i = w - 50. Solve 6*j + 3*t = j + i, 0 = j - 2*t + 6 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 1406, 1404, 1402?\n\"Answer: -2*q + 1408","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 4*o**3 - 4*o**2 + 3*o - 1. Let d be j(2). Suppose -4*z + 19 = 2*y - d, 5*y = 3*z + 48. Suppose -f - 3*f = -y. Solve f*h = 7*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 214 (base 8) to base 11.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -n**2 + 73*n - 197. Calculate the remainder when 535 is divided by f(69).\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 2374.2 and -529.18642.\nAnswer: 1845.01358","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2647442326.\nAnswer: 2, 53, 24975871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50 = -4*l + 58. Suppose l*h - 3*h = -19. Calculate the highest common factor of h and 152.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 81*v + 563*v + 16*v - 42*v = 59328 for v.\nAnswer: 96","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3 - -4. Let l be -5 + 8 + (0 - -1)*-5. Let c be 7 + (l\/(-2))\/(-1). Solve 0 = j + c - z for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -4*k + 79. Let q be o(19). Differentiate 28 - 12*j**2 + q*j - j + 37*j**2 wrt j.\nAnswer: 50*j + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -164*f + 8 = -162*f - 2*x, -290 = 5*f - 3*x - 304 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 13 - (50 - (-74 - -104))\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*s - 25 = -5*s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -14.37687 + -3?\nAnswer: -17.37687","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 85816 or 85824?\nAnswer: 85816","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1 + 3 - (0 + 0). Let o = -326 - -436. Let r = o - 110.3. Which is the second smallest value? (a) r (b) -2\/3 (c) -0.4 (d) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 13851 and 57.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 66432 and 1?\nAnswer: 66432","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 z when two letters picked without replacement from nnnnvnzcznmmz?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*i - 6*i - 17*i.\nAnswer: -30*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/(-8) - 15\/(-360)*6.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:38 AM and 10:59 AM?\nAnswer: 321","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the second derivative of r**7\/3780 - r**6\/540 + r**5\/180 - r**4\/108 - r**3\/6 - r. Let w(g) be the second derivative of u(g). Factor w(v).\nAnswer: 2*(v - 1)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 4 = -t - 17, 4*t = -4. What is q rounded to 0 decimal places?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 205.5162544448 + -0.022?\nAnswer: 205.4942544448","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*o = -38*o + 8. Let g(u) = -u**3 - 7*u**2 - 5*u + 6. Let n be g(o). Calculate the greatest common divisor of 44 and n.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 80\/189 and 61\/126.\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the second derivative of 5*a**4\/12 - a**3\/3 + 6*a + 1. Let u(c) = 2*c**2. Calculate l(u(b)).\nAnswer: 20*b**4 - 4*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -881 - -876. Sort 4, 0.05, 6, b.\nAnswer: b, 0.05, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1255 - -1326. Is 11 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 366 minutes after 11:31 PM?\nAnswer: 5:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*w**4 - 6*w**3 - 36*w**2 - 42*w - 15.\nAnswer: 3*(w - 5)*(w + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3 + 3 + 2*q**3 - q + 2*q**3 + q + (-q + 0*q + 2*q)*(6*q**2 - 2*q**2 - 2*q**2) - 2*q**3 + 0*q**3 + q**3.\nAnswer: 5*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 - 309*d**4 + d**3 - 6*d + 0 + 299*d**4 to a*d**2 + l*d**3 + p + f*d**4 + i*d and give f.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 38*b**2*i + 24251*b**2 - 2*b - 11485*i**4 - 6 wrt i.\nAnswer: 38*b**2 - 45940*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -5*o - 58. What is the units digit of (378\/45)\/((-2)\/o)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 53*w**3 + 689*w**2 - 31*w - 426. Calculate r(-13).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-5)\/20)\/(23\/104236). Put o, 0, -4 in increasing order.\nAnswer: o, -4, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -27 + 99*n - 47*n - 54*n. Let j(z) = -2*z. Calculate j(h(m)).\nAnswer: 4*m + 54","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 2\/14*2*1\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 87578.38g in milligrams?\nAnswer: 87578380","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b**2 + 24*b = 0.\nAnswer: -8, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1342761682 to 6 dps.\nAnswer: -0.134276","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -71 = v + 63. Let m = v + 136. Solve -5*s - m*j + 8 = 0, 5*j - 20 = -7*s + 3*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**(-5\/2)*a\/a**(-2\/5))\/(a*a\/((a\/(((a**(-2)*a*a*a)\/a)\/a))\/a*a))**(-1\/2) assuming a is positive.\nAnswer: a**(-1\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -2*b. Let u be c(-1). Let l(i) = 32*i - 17. Let t be l(6). Suppose 3*y + u*y = t. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 660, 1365, 2080, 2811, 3564?\nAnswer: 4345","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1 + -1 + (-4)\/18. Let d = -1.1 + 0.1. Let k = 20.2 + -20. Which is the nearest to k? (a) -3 (b) g (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 3*o - 23 = 0, 12 = 3*g + o + 3*o. Let d = g + -8. Suppose 12*j - 11*j - 20 = d. What is the tens digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*s + 118 - 365 = 0. Calculate the remainder when 259 is divided by s*(-8 + 8 - 2).\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = d**2 + 2*d - 3. Let w be r(2). Suppose -3*g + 130 = -2*s, 0 = 2*g - 0*g + 3*s - 65. What is the greatest common divisor of g and w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 18, 51, 102, 171, 258?\n\"Answer: 9*v**2 + 6*v + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 75 is divided by 39.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-6)\/3 + 1 + 1. What is the common denominator of 4\/((-64)\/74) + 9\/6 and (-63)\/6 + c + 1?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 1, d: 1, m: 1, n: 2, i: 1, a: 1}. Give prob of picking 1 i, 1 d, 1 a, and 1 v.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 400\/(-65) + 0 + 0\/(-2). Which is smaller: c or -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((t*t**(-2\/9)*t)\/t*t)\/t)**26\/((t*t\/((t**(-1)*t*t)\/t))\/(t*t**5)))**(-6\/17) assuming t is positive.\nAnswer: t**(-436\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1134\/(-36)*(280\/(-36))\/7.\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1565722\/51 - 30699. Calculate the common denominator of k and 5\/51.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -3 + 0 + 2 + s. Give u(7).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -33\/10 and (6000\/(-594) - -10)*228\/(-10).\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) be the third derivative of -b**5\/60 - 15*b**2. Let g(k) = k**2. What is t(g(j))?\nAnswer: -j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 10 - (-6 + 0 + 4 - -5)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.027 (b) -0.03 (c) -69199.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 24 = -c, 2 = 5*l - 3*c - 38. Suppose -3*y - k + 2 = 0, 0 = 3*k - 8*k - 20. Solve -y*i = -0*i + l for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qrb when three letters picked without replacement from qbablrbaqqqbqta?\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 9111 + 10824. Let n = 717611\/36 - d. What is the common denominator of -77\/60 and n?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(120)*-4 + sqrt(120))*-2)\/sqrt(12))\/(sqrt(55)\/sqrt(44) - (sqrt(55) - sqrt(55)*1)\/sqrt(11)).\nAnswer: 12*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -33342002 + 1?\nAnswer: -33342001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 2, l: 4}. Give prob of picking 2 c.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5316*r + 1662*r + 1759*r + 1774*r.\nAnswer: -121*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16905 is divided by 319.\nAnswer: 317","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20271 is divided by 44?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 73*t - 1317 + 295 for t.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12290 + 12290 + 2*g**3.\nAnswer: 2*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 5\/4 of a microgram?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*h**3\/3 - 2114*h**2\/3 - 186560*h - 185856.\nAnswer: -2*(h + 1)*(h + 528)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 20587.26728 + -20588. What is i rounded to 2 dps?\nAnswer: -0.73","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 8*x = 5*z + 1220, 0 = -3*z - 3*x - 726. Let u = 247 + z. Solve u = 7*d - 4*d + 9 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 20*h - 116. Let j be n(-37). Let w = -695 - j. What is the hundreds digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 709 minutes before 7:37 PM?\nAnswer: 7:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.58539, -3, -2, -4, 2\/7 in decreasing order.\nAnswer: 2\/7, -0.58539, -2, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -2*v**2. Let s(c) be the second derivative of -343*c**3\/6 - 102*c + 1. Give s(i(l)).\nAnswer: 686*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0003304517 to seven dps.\nAnswer: -0.0003305","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/25079 and 36\/7.\nAnswer: 175553","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -12295, -24229, -35981, -47551, -58939, -70145, -81169?\n\"Answer: 91*o**2 - 12207*o - 179","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2*(-45)\/(-10)*1. Let o be (-18)\/v + -1 + 8. Suppose -o*j = j - 1362. What is the units digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 50 and 70?\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4062 and 46036.\nAnswer: 138108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 110907 to the power of 1\/5, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 92154458843 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 8\/9 - (-3 - (-44)\/12)\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p, 1 g, and 1 j when three letters picked without replacement from {g: 1, j: 3, p: 1}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 2*m + 37. Let v be z(-16). Suppose -6*q + 5*q = -v. Solve -4*b + u - 7 = 2*u, -q*u = -b + 14 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 34*w**2 + 281*w + 605. What is j(-5)?\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12101 + 10?\nAnswer: 12111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 52\/(-252) - (64\/126 - 4\/14).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.177 + -0.128. Let n = a + 1.951. What is the closest to n in 4, -1\/2, -0.4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2 + 8. Calculate the least common multiple of ((-333)\/(-45) - 2\/10) + (-36)\/30 and j.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 1760628*a**2 - 1760619*a - 4. Determine s(1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 9.365128 nanoseconds?\nAnswer: 0.000000009365128","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o + 141 = -1608197*y + 1608194*y, -186 = 3*y - 4*o for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3493 + 21056 = 7*y. Let f = 27559\/11 - y. Find the common denominator of -53\/14 and f.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -705 - -1357. Let l = 656 - q. Which is the second smallest value? (a) -2\/21 (b) l (c) 0.5 (d) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*j - 3*j + 0*j)*(987*j**2 - 347*j**2 - 262*j**2 - 3 - 1278*j**2).\nAnswer: -900*j**3 - 3*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 2\/11, -848, -8 in descending order.\nAnswer: 2\/11, -3, -8, -848","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 2*d = -68. Let u = 25 + d. Let k(s) = -s**2 + 9*s - 2. What is the remainder when 10 is divided by k(u)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is d in 2*d**5\/19 + 176*d**4\/19 + 5042*d**3\/19 + 43380*d**2\/19 - 5400*d + 54000\/19 = 0?\nAnswer: -30, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 416\/(-195) + 8\/60 - -5. Suppose 4*x = -x + 105. Suppose x = 2*p + 3. Solve -6*o + p = -b*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -35185910 divided by 35185910?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*y**3 + 2745*y**2 + 5525*y - 8265.\nAnswer: -5*(y - 551)*(y - 1)*(y + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) be the first derivative of 17*u**5\/5 + u**2\/2 - 21. Find the second derivative of o(h) wrt h.\nAnswer: 204*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11a2 (base 14) to base 3\nAnswer: 11020011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 226 is divided by 77.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -23\/290 and 4 - (-107)\/(-16) - (-5 - 0).\nAnswer: 2320","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -39401, 11, 1, 8 in increasing order.\nAnswer: -39401, 1, 8, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-17 + 2)\/5 - 1?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3\/(18\/12)*(-18)\/(-4). What is the highest common divisor of 3 and q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 673711.\nAnswer: 83, 8117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -130*m - 29191 + 159191 = 0. Is 68 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 168 = 2*c + 3*s - 2*s, 2*c + 3*s = 160. Suppose 4*v = -3*p + 108, 2*v = p - 6*p + 166. Calculate the remainder when c is divided by p.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by -99.\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*q - 5*q + 4*q)*(q + 2*q - 5*q)*(-2 + 6 + 1)*(-5*q - 4*q + 6*q).\nAnswer: 120*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the first derivative of -1313*z**4\/4 + z**3\/3 - 271*z**2\/2 - 283. What is the third derivative of x(i) wrt i?\nAnswer: -7878","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-7 + 2 - 0) + (-96 - -100) + 80 + -2\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -u + 4. Let o be w(0). Suppose -o*j + 4 = -0*j. Suppose 0 = -b + 4 + j. What is the units digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = 5*m, -5*b = -4*m + 3*m - 27 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -24 - -28. Suppose -x*f + 18367 = -3*h, 935 = 3*f + 2*h - 12836. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1020121 (base 3) in base 13?\nAnswer: 54a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -r - 1. Let b(v) = -54*v - 19. Suppose 580*o - 576*o - 24 = 0. Let t(n) = o*h(n) - 2*b(n). Differentiate t(u) with respect to u.\nAnswer: 102","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 2, a: 3, m: 4}. What is prob of sequence aam?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -23*s + 9317 + 7404. Does 70 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 3*a - 24 = 5*a, 15 = 3*o + a. Calculate the least common multiple of (-48)\/(-14) + (-48)\/112 and o.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 18*y**3 - 11*y**3 + y**2 - 12*y**3 + 142*y - 77*y - 73*y in the form c*y + g*y**2 + t*y**3 + j and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -y**2 - 5*y - 7. Let l = -243 - -238. Determine j(l).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -71 and -131 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -109, -217, -325?\nAnswer: -433","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 20293142 or 20293139?\nAnswer: 20293139","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 15*d**3*f*t**2*v - 2*d**3*f*t**2 + 13*d**3 - 3*d**2*f*t + 5*d*t*v + 68*t**2 - 2*v wrt t.\nAnswer: 30*d**3*f*v - 4*d**3*f + 136","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 + -1 + -12 + 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 345 = 5*k, 5*m = k - 12 - 87. Suppose z - k = 5*y, 5*z = -2*y + 3*z - 32. Let r = y - -15. Let g(d) = -d + 9. Calculate g(r).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -26\/11 - -159\/44. Suppose -10*x = 2*x - 2*x. Which is smaller: r or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-4 + 1*sqrt(605) + sqrt(605) + 1)*4*5.\nAnswer: -360 + 2640*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(468)\/sqrt(81))\/(sqrt(324)*-2).\nAnswer: -sqrt(13)\/54","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -112, -388, -832, -1438, -2200, -3112, -4168?\n\"Answer: m**3 - 90*m**2 - 13*m - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 14 and 1724499028?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 68*((-7)\/28)\/(1\/(-43)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 66 divide 282678?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 4*l**2 - 6*l - 39. Let r be k(4). Which is the nearest to 4? (a) r (b) 0.4 (c) 8\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (15 - 5 - (1 + 22)) + 5 - 13\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 456 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-5 + 1*sqrt(1728) + 3).\nAnswer: -48*sqrt(3) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 105\/75 + 3\/(-5)\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1160.4303*10.\nAnswer: 11604.303","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 33931 is divided by 90?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 28462360?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 95726.\nAnswer: 2, 23, 2081","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/s**(-1\/10)*s)\/s**(-2\/65)*s**(-25)*s*s\/(s\/(s\/(s\/((s\/s**13*s)\/s)))) assuming s is positive.\nAnswer: s**(-4403\/130)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -76 = 69*i + 64*i - 1273. Solve 8 - i = -m, -4*a = -3*m + 3 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 14, l: 5}. Give prob of sequence ll.\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1375931 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1\/(-4)*(48\/(-27))\/(-8). What is the nearest to -0.1 in -0.5, 2, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a kilometer in meters?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000330875279 rounded to 6 dps?\nAnswer: -0.000331","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l + 18*v - 16 = 22*v, v = 5 for l.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -102 - -102. What is the common denominator of 6\/4 - (-561)\/(-90) and (l - 1\/(-4)) + 16027\/(-2820)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 277660?\nAnswer: 2, 5, 13883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 86299579?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -29, -49, -69, -89?\n\"Answer: -20*x - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32430*o - 314 = 32273*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5 - -3. Suppose -46*d + 45*d = 2. Put d, -5, b in decreasing order.\nAnswer: b, d, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4416\/(-672) + 7 + -1.\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -615 - -622. Calculate the remainder when 115 is divided by y.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 124308?\nAnswer: 2, 3, 1151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is nine tenths of a litre in millilitres?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 14634 times -4?\nAnswer: -58536","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.8106107ml?\nAnswer: 0.0008106107","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, 2, 128.\nAnswer: -0.2, 2, 128","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(343) - (sqrt(343) + sqrt(343)*-2 + 4 + sqrt(343)))**2.\nAnswer: -56*sqrt(7) + 359","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1135865 to the nearest integer?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 + -3 + (-7 + 0 - -7).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 2798*v + 6. Let s(i) = 6253470*i + 13409. What is 13409*o(k) - 6*s(k)?\nAnswer: -2438*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -15? (a) -1\/7 (b) 1 (c) 1929309 (d) -2\/3 (e) 4 (f) 1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -6589*f. Let m(w) = 483*w**2 - 2. Calculate b(m(y)).\nAnswer: -3182487*y**2 + 13178","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-880)\/(-33) - 28)\/(8\/(-2)). What is the smallest value in 8, -3\/8, v, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (10*s - 30 + 30)*(1 - 4 + 1)*(-25 + 23*s + 25) in the form i*s**2 + l*s + n and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9 is divided by 3 + -7 + (6 - -4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 16 and 1120?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.05 - 0.15. What is the second biggest value in v, -3, 0?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.39 from -77337491.\nAnswer: -77337491.39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1314)\/(-315))\/(-20 - 1206\/(-63)) + (-2)\/(-10)?\nAnswer: -14\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-10)\/(-15))\/((-56)\/(-36)).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = -q + 21225, 89*q = 91*q + i - 42513. What is the units digit of q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 243915863?\nAnswer: 19, 439, 29243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -4*w**3 - 6*w**2 + 2*w + 2. Let v(t) be the first derivative of t**4\/4 - t**2\/2 - 2603. Give -b(h) - 2*v(h).\nAnswer: 2*h**3 + 6*h**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1126 + 1138 - (-3 + 19 - -4).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 40459 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 188, -3, -4, -7, 1935 in increasing order.\nAnswer: -7, -4, -3, 188, 1935","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 97 minutes after 5:27 AM?\nAnswer: 7:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 65\/11396 and -5\/14652.\nAnswer: 102564","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 75\/27 - 1 - 2. Let u be (0 - 0) + 44\/(-16). Let d = -3 - u. Is d at least as big as v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -o**2. Let g(q) = q**2 + q + 1. Let n = -12 - -14. Let k(d) = 6*d**2 + 3*d + 3. Let b(w) = n*k(w) - 6*g(w). What is a(b(i))?\nAnswer: -36*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzxtszzzbzzzzzzs. Give prob of sequence ssz.\nAnswer: 11\/1680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 41025888 divided by -854706?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zmcczffccmz. What is prob of sequence zccm?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2 - -1)*4\/1. Let g be 0*(8\/(-148) - (-627)\/(-1406)). Put g, v, 41 in descending order.\nAnswer: 41, g, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bfb when three letters picked without replacement from bbbobobfobjbbb?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.34 - 0.16. Put f, 0.3, -2\/3 in decreasing order.\nAnswer: 0.3, f, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 982445.8ml in litres?\nAnswer: 982.4458","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 669 = -3*t, -6*k = 5*t - 3*k + 1144. List the prime factors of (-2)\/(t\/(-76) - 3).\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -3*t + 2. Let l(x) = -5623*x - 65. Determine l(y(w)).\nAnswer: 16869*w - 11311","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(330)\/(3*sqrt(6)) + -4*sqrt(1980))\/((sqrt(720) - ((-3*-1*sqrt(720) - sqrt(720)) + sqrt(720))) + (sqrt(720) - (2*sqrt(720)*4 - sqrt(720)))).\nAnswer: 71*sqrt(11)\/288","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 1139264*x + 6835625. Give s(-6).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 110*t**2 + 38*t - 148. Determine m(1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 858308023 to the power of 1\/2, to the nearest integer?\nAnswer: 29297","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 12446 and 2646?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 22897902983 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lvxxlxvxhgllhhlllll. What is prob of picking 2 x?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -62645*f + 751781. Calculate i(12).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 53 - 34. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 139611 and 1345?\nAnswer: 269","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 51 - 50.999262. What is m rounded to 5 dps?\nAnswer: 0.00074","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -167*g + 234*g + 871 for g.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -10*x**5 + 32751*x**2 - 450*x + 63?\nAnswer: -200*x**3 + 65502","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 28*s + 2. Let c be -1 - (-3)\/6*6. Suppose c*i - 1 - 3 = 0. Does 22 divide d(i)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (18\/72)\/(1\/(-4))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a tonne in kilograms?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = z**2 + 14*z - 38. What is s(-15)?\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-140399)\/(-120342)*(-2)\/1*-9?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((-3*sqrt(1470)*-4)\/((sqrt(432)\/(sqrt(8)*1))\/sqrt(9)))**2.\nAnswer: -141120","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) be the first derivative of -33*v**4\/2 + 2*v**3\/3 - 11*v**2\/2 + 3*v + 204. Find the second derivative of c(y) wrt y.\nAnswer: -396*y + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 3 (b) 16 (c) -4 (d) 4 (e) 13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 255806 (base 9) to base 15.\nAnswer: 30ebc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -a**3 - 5*a**2 + 11*a + 10. Let l be d(-7). Suppose 7*q - l + 3 = 0. Suppose 5*i + 5*r = -25, r - q*r - 15 = -i. Solve -u + 3 = -i*u for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1954 and 8854.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 9\/(-2)*(-2)\/(-30). Which is the second smallest value? (a) j (b) -0.1 (c) -1\/12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = 5*l + 2*s - 140, -3*l = 5*s - 97. Suppose 0 = d - 3, 0*t + 4*t - l = -4*d. Suppose 6 = 5*b + 2*y - 23, 6 = t*y. Solve 0 = h + 4*h - b for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -19\/225 and -109\/280.\nAnswer: 12600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -2*q + 6 + 4*q + 5*q + 2*q**2. What is the tens digit of n(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*x**3\/5 + 32348*x**2 + 2124136588*x\/5 + 9121762298052\/5.\nAnswer: 4*(x + 11321)**2*(x + 17793)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 5*n - 32 = n, -4*n = -2*m - 8. Let o be 7 - (8 - (m + -1)). Let d(c) = -c**2 + 4*c**2 + 2*c**o - 4*c**2. Let z(x) = 15*x. What is z(d(r))?\nAnswer: 15*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:14 AM and 2:09 PM?\nAnswer: 655","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 6571, 6654, 6747, 6844, 6939?\n\"Answer: -s**3 + 11*s**2 + 57*s + 6504","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 356, 1502, 3420, 6116, 9596, 13866, 18932?\n\"Answer: l**3 + 380*l**2 - l - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 times -44?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express j**4 + j**4 + 3*j**4 + (6 - 4 - 3)*(-2*j**2 + 2*j**2 - j**4) + 3*j**4 - 6*j**3 + 6*j**3 in the form r*j**4 + y + o*j**3 + x*j**2 + v*j and give r.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -85 - -79.95. Let u = -5 - i. Let o = -0.45 + u. Round o to zero dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 147 = i. Suppose -5*g = r - 9, -r + 5*g = -0*r - i. Calculate the common denominator of r and 9\/(-11) - (-1 - -2).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/4)\/((-12)\/(-128)*4).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 522.3 - 446. Round n to the nearest 10.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 179721959 and 543.\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (1408\/33)\/(-8)*(-138)\/4. Calculate the greatest common divisor of 8 and b.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10000681961 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -1. Let y(u) = 5*u + 6. Let g(x) = -x**2 + 48. Let d be g(-7). Let v(l) = d*y(l) - 2*z(l). What is v(4)?\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = -2*u + 31, -2*c - c = -3. Let x be 1\/22*4 + (-152)\/(-11). Calculate the smallest common multiple of u and (-196)\/(-10) - x\/(-35).\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 128 and 2656?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -10377584*b**2 - 44560390 wrt b.\nAnswer: -20755168*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) be the third derivative of 0*w**3 - 1\/8*w**4 - 4*w**2 + 26 + 0*w. Let z(n) = 24*n**2 + 1. Give z(p(g)).\nAnswer: 216*g**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 84.6 - 84.2. Which is bigger: m or 1\/1246?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-4)\/30)\/(4\/(-6)). Let g = -0.2 + 2.2. Suppose 0 = -4*t - f - 20, -11*t - f + 10 = -13*t. Which is the nearest to g? (a) d (b) t (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(-2)*3*12\/27\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -6*(-1)\/(-2) + (6 - 0). Let v(q) = -q**3 - 2*q**t - 6*q**3 - 1 - 6*q**3. Calculate v(1).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -3*x + 18. Determine m(4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 0 + -11303?\nAnswer: -11303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 28578 - 28564. What is the nearest to -195 in -3, m, -4\/7?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*((-18)\/21)\/(-8*(-33)\/(-1848)).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(144)\/(sqrt(400)*3)*-4)\/((-4*sqrt(48)\/sqrt(4) - sqrt(48)\/sqrt(4)*3)*-2).\nAnswer: -sqrt(3)\/105","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -5601820.2 to the nearest ten thousand.\nAnswer: -5600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/11 less than or equal to 2\/10901?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/(2 + 4 + -5). Suppose -3*p + 9 = -2*w + 4, 0 = -2*p - b*w + 10. Solve -2*c - 4*g - 10 = 0, p*c - 4*g - 27 - 8 = 0 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.09 + -0.11. Sort -5, j, 3 in ascending order.\nAnswer: -5, j, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 40 and 10293065.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*c - 54 = -7*c. What are the prime factors of ((-67)\/2)\/(c\/(-30))?\nAnswer: 5, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: -6 * -9891.636\nAnswer: 59349.816","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 s and 1 m when four letters picked without replacement from {s: 16, m: 4}.\nAnswer: 448\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a millimeter in micrometers?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 126138, 252304, 378468, 504630, 630790?\nAnswer: 756948","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v + 1 = 5*u, 4423029*v + 5*u = 4423028*v + 7 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: ((-1236)\/(-1030))\/((-9)\/(-5))\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x\/(x\/(x\/(x*x\/x**(-2\/3)))))\/x**(-9))\/((x\/x**(-6\/5))\/(x\/(x**(-10)*x))))**(-2\/7) assuming x is positive.\nAnswer: x**(-454\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -1093735 divided by -218747\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 15 = -5*c - 1, 4 = 2*n. Let o = 111 - 106. Which is greater: o or c?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a\/(a**(-2\/21)\/a)*a**(-3\/5)\/a*a**(1\/21)*a**(-6) assuming a is positive.\nAnswer: a**(-191\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -h**3 - 10*h**2 + 10*h + 94. Let n be y(-10). Put 6, 0, n in decreasing order.\nAnswer: 6, 0, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -81949 to the nearest 10000.\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1562923 is divided by 120207?\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) be the third derivative of t**5\/4 + 3*t**2 + 15*t. Let h be (-1 - 1)*19\/(-19). Let c(j) = 0 + 0 - 7*j**h + 0. Calculate -5*c(i) - 2*f(i).\nAnswer: 5*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrr. What is prob of sequence rr?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g + 2. Let h be x(3). Suppose a = h*a - 12. Let f be 2 + (0 - (-2 - -1)). Solve -f*c - 24 = 4*t, -3*t = -a*c - 6 + 3 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 times -120?\nAnswer: -720","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 8*p**2 - 349*p + 1712. Calculate c(5).\nAnswer: 167","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2019689 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00047 rounded to 4 decimal places?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8972736 is divided by 909.\nAnswer: 906","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**2 + 245286*q - 981176.\nAnswer: 2*(q - 4)*(q + 122647)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 202*j - 1680 - 2180 = 395*j for j.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1069 + 3054. Is 10 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1 + -211?\nAnswer: -210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 480 and 423134720?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 511\/1156 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/8*c**3 + 11\/8*c**2 - 3 + 7\/4*c.\nAnswer: -(c - 12)*(c - 1)*(c + 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-187)\/(-255) - (-5)\/45*-3. Put 1, 21, z, 4 in descending order.\nAnswer: 21, 4, 1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18329 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*h**3 - 100672694*h**2 + 100672694*h**2 - 2*h**3 + h**3.\nAnswer: 2*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 123727.8 to the nearest 1000.\nAnswer: 124000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let -q**4 + 226*q**3 - 16816*q**2 + 406686*q + 423729 = 0. Calculate q.\nAnswer: -1, 69, 89","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6742 is divided by 2098.\nAnswer: 448","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2189584.\nAnswer: 2, 136849","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 834 = 4*s, -5*s = -s + 3*a - 830. Let h = s - 192. Suppose q = -5*i + 80, 97 = 3*q + 4*i - 176. Calculate the remainder when q is divided by h.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 344 - 317. Differentiate 23*h**2 + 149*h**3 - 193 - t*h**3 - 23*h**2 with respect to h.\nAnswer: 366*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 b when two letters picked without replacement from {n: 1, s: 5, b: 5, v: 1}?\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that -2*o**3\/3 + 22132*o**2\/3 + 1356646*o\/3 + 3145232 = 0.\nAnswer: -53, -8, 11127","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24028 is divided by 178?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put together -188 and 0.09.\nAnswer: -187.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 394 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (-3*(sqrt(288) + -1*sqrt(288))*-2 - ((-1 + sqrt(288) + sqrt(288) + sqrt(288))*5 - (sqrt(288)*-2 + -5 - sqrt(288))))**2*3 + -2.\nAnswer: 279939","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 20 = 0, 6 = 2*t - 3*x - 12. Suppose -3*u + 3138 = -0*u + t*b, -3*b + 1052 = u. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iwid when four letters picked without replacement from {w: 2, i: 2, d: 1}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 23? (a) 5 (b) 2\/241 (c) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -7871.49 to the nearest ten.\nAnswer: -7870","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1258 and 888?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((1176\/(-98))\/60)\/8.\nAnswer: -1\/40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 4*j = 47, 0*j - 2*j = u - 1. Let q = 19 - u. Let m = -5 + q. Does 7 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -98864\/3 - -98863\/3. Let q be (2\/28)\/((-24)\/14). What is the fourth biggest value in 1, q, 5, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20655995 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-84)\/((-72)\/210*7).\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-342)\/(-294))\/(4\/12) - 3. Let y = -339\/392 + h. What is the second smallest value in -0.4, y, 2, 2\/13?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 12980 + -26540. Round h to the nearest 1000.\nAnswer: -14000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 280635.15 months?\nAnswer: 23.3862625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 653 = 3*n. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*v + 2*v = -70. Calculate the common denominator of -25\/29 and (592\/(-30) - 2) + (-6)\/v.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -70 - -72. Suppose -25 = 5*h, -5*l + 4*h = p*h - 25. Suppose 2*b = -3*s + 21, -10 = -l*s - 1. Is b a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-10)\/(-3) - (-1)\/(-3). Let d = v + 0. Suppose 5*f - 2*u = 223, 0 = -0*u - 3*u + d. Does 18 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 + -7 - (77 + -65).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-p**3 - p**3 + 3*p**3)*(-p**2 - 2*p**2 - p**2) - 5*p**5 + p**4 - 3*p**4 + 3*p**5.\nAnswer: -6*p**5 - 2*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from doodbdaoob. Give prob of picking 2 o.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*i + 15*i**4 + 11*i**4 + 31*i wrt i?\nAnswer: 312*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 125823 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (0 - 1)\/(11\/(-22)). Suppose v*f + 14 = -2. List the prime factors of (24\/(-14))\/(f\/56).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5584 and 287576?\nAnswer: 2792","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0\/(-3 + -1 + 2). Suppose p*k = -3*k + 15. Find the second derivative of -9*s**k - 9*s**5 + 2*s - 13*s + 4*s**5 wrt s.\nAnswer: -280*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w**4\/7 - 26*w**3\/7 - 4*w**2 = 0. Calculate w.\nAnswer: -1, 0, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -u**3 + 3*u**2 - u + 5. Let a be y(3). Solve -a*g + 4 = -3*g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 60720 and 210680?\nAnswer: 920","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 248\/12 - (-2)\/6. Let x be (h\/(-28))\/((-2)\/8). What is the second derivative of -4*q + 5*q**3 + 5*q**3 - 3*q**x wrt q?\nAnswer: 42*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 7707284 to the nearest integer?\nAnswer: 198","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 28*n - 4. Determine c(2).\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -555*t + 1315*t = -22040 for t.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2*((-6)\/4)\/(-1). Suppose 12 = 7*a - n*a. Are a and 0.05 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 661a - -3499?\nAnswer: 9ab6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4790*y = 1969*y - 56420 for y.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve x + 9 = 0, -4*k - 690 = 3*x - 643 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 134 to the power of 1\/2, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the second derivative of -d**7\/189 + 2*d**6\/15 + d**5\/30 - 28*d**4\/27 + 4*d**3\/3 + 1476*d. Solve j(l) = 0.\nAnswer: -2, 0, 1, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -296*-15\nAnswer: 4440","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + g - 55 = 5*q, -3*g + 3*q = -60. What is the remainder when g is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 293 minutes after 7:39 PM?\nAnswer: 12:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4105544 and 732?\nAnswer: 244","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -614 - -618. Suppose 2*g = -3*w + y, 3*g - 6 = -21*w + 17*w. Solve 4*h + 90 - 78 = w for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 234859?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 1166526*m**2. Let h(c) = -25*c**2. What is r(h(n))?\nAnswer: 729078750*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is d5662 + 10?\nAnswer: d5672","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f**4 + 72 + 155*f**2 + 48*f**3 + 169*f + 17*f - 23*f**2 + 27*f**2 = 0 for f.\nAnswer: -12, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 2*g**2. Let o(r) be the third derivative of -2*r**5\/15 + r**2. Calculate o(f(z)).\nAnswer: -32*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -33816650*x**4 + 4947712 wrt x.\nAnswer: -135266600*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -n**3 + 9*n**2 + n - 8. Let w = -2 - -7. Suppose -6 = -w*k + 39. Let p be z(k). What is the highest common divisor of 1 and p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 10960 - 10959. What is the closest to -2 in 5, 40.7, w, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 3 (b) 0.3 (c) -7716\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -18 + 39. Suppose m + i = 2*m. Let c = m + -18. List the prime factors of c.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhhlw. Give prob of picking 1 h and 1 w.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -7*a - 3682121*u + 3682119*u - 24, -4*a - 2*u - 24 = 0 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 10 - (1 + 3).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -52512802, -52512799, -52512796, -52512793, -52512790, -52512787?\n\"Answer: 3*k - 52512805","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 698669141 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v + v - 3 = 0. Suppose -t = 3*t - 20. Suppose -v*f + 22216 = t*f. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/42*2084\/13025?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -7*d**2 + 19*d**2 + 15 + 0*d - 21*d - 9*d**2. List the prime factors of f(-10).\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 14*v**2 + 2*v + 5. Let l be p(3). Let m = l + -90. What is the tens digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) be the second derivative of 3*z**4\/20 + 2*z**3\/5 - 6*z**2\/5 - 6*z + 4. Find k, given that w(k) = 0.\nAnswer: -2, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1180.3 take away 56?\nAnswer: -1236.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 498085000?\nAnswer: 2, 5, 7, 19, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 306?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -58*g + 425 = 827 + 584 for g.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 - 3 + 1)*(0 + 3 - 1)*(2*y**3 - 2489*y**2 - 8402*y**2 - 171*y**2 - 3487*y**2) to r*y + q + v*y**2 + z*y**3 and give z.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25*w**3 - 154*w - 43*w**3 + 17*w**3.\nAnswer: -w**3 - 154*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -s**4\/4 - 19*s**3 - 1055*s**2\/4 - 767*s.\nAnswer: -s*(s + 4)*(s + 13)*(s + 59)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/(-5)*5\/9. Let z = 71 - 70. Which is smaller: m or z?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 379 + -369. Let p be g*(7 + -5 - (-12)\/(-8)). Solve -p*u + 32 = -13*u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 12, l: 6}. Give prob of picking 3 i.\nAnswer: 55\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 612515 a multiple of 55?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the first derivative of 3*r**5\/5 - 798*r**4 + 424536*r**3 - 112926576*r**2 + 15019234608*r - 100. Determine m so that f(m) = 0.\nAnswer: 266","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1422418943 to the nearest integer?\nAnswer: 37715","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-200)\/125)\/((-2)\/5). Suppose -2*v + 3*v = 5*u + 230, -4*v + 872 = -b*u. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 21 - 87*f**2 + 243*f**2 - 2 - 3 + 104*f**2 + 528*f.\nAnswer: 4*(f + 2)*(65*f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.534*297083.\nAnswer: 158642.322","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*b - 3*b - b)*(2144 + 103 + 5756)*(-1 + 1 + 1) as c*b + q and give c.\nAnswer: -16006","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 7, r: 3, d: 4, u: 4}. Give prob of sequence drbu.\nAnswer: 7\/1530","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*v - 13 + 1. Solve v - 3 = -3*h - 2*l, -3*h = -2*l + 5 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 23010.4 - 21256. What is a rounded to the nearest one thousand?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 30509\/61010 - 2\/30505. Factor 2*g + w*g**2 + 2.\nAnswer: (g + 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*f**3 + 3*f**3 - 12*f**3.\nAnswer: -4*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5 + -2*sqrt(125) - sqrt(125)) + -1)**2*-4.\nAnswer: -4644 - 720*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**9*k**(-1\/12) assuming k is positive.\nAnswer: k**(107\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*y**5 - 25*y**4 + 10*y**3 + 40*y**2.\nAnswer: 5*y**2*(y - 4)*(y - 2)*(y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3876239188*z - 22*z**3 + 3876239188*z.\nAnswer: -22*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor p**3 + 60*p**2 + 668*p + 1104.\nAnswer: (p + 2)*(p + 12)*(p + 46)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.0052? (a) 1573 (b) 1\/9 (c) -4 (d) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Add together 50464 and 0.1.\nAnswer: 50464.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -1131080 divided by 5?\nAnswer: -226216","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eke when three letters picked without replacement from {k: 3, x: 2, e: 4, i: 9}?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-9955*d - 40*d**2 + 9955*d)*(-2 - 3 + 9) + (2 + 0 - 1)*(-d**2 + 0*d**2 + 3*d**2) to the form t*d**2 + z*d + a and give t.\nAnswer: -158","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4483?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 16.48583 + -0.035?\nAnswer: 16.45083","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -3 + 0 + (-39)\/(-3). List the prime factors of (-22)\/55 + 84\/w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = b**2 + 20*b + 11. Let h be p(-19). Let o be ((-804)\/h)\/((-2)\/(-4)). Suppose 5*q = o + 424. Is 14 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 10b0 + -4?\nAnswer: 10ac","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.4 (b) 0.2 (c) -1\/2 (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = l**2 + 2*l - 30. Calculate h(-7).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + -599.\nAnswer: -601","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (16\/6 - 2)*27\/2. Calculate the greatest common factor of 117 and v.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 7*o - 2 + 4*o**2 - o + 3. What are the prime factors of l(-4)?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:30 AM and 3:07 PM?\nAnswer: 277","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29 = 3*b + 2*q, -q + 24 = 3*b - 7. Let d(l) = 5*l**2 - 57*l + 24. Let h be d(b). Solve 2*k + h = k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 38485 is divided by 12816.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the first derivative of h**2 - 7. Suppose 0 = -3*m + t + 7, 3*t + 3 = 4*m - 8. Let l(q) = q**2 + q**2 - q**m. What is v(l(d))?\nAnswer: 2*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) be the third derivative of -b**5\/30 - 3007*b**4\/24 + 2945*b**3\/6 - 242*b**2 - 5*b - 2. What is the derivative of i(j) wrt j?\nAnswer: -4*j - 3007","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*k**3 + 6 - 13 - 2*k + k**3 as p*k**2 + g*k + t*k**3 + f and give f.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -n**6 + 62*n**4 - 154*n**2.\nAnswer: -120*n**3 + 1488*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) be the second derivative of z**6\/180 + z**5\/120 - z**4\/12 - z. Let d(y) be the third derivative of a(y). Does 12 divide d(4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 + 0 + 4 + 5*w**2.\nAnswer: 5*w**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9*11\/(-132)*(-36)\/(-21).\nAnswer: 9\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1051*w - 382*w + 1440*w - 6.\nAnswer: 7*w - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -133.83 - -130.83. Let r be ((-4)\/12)\/((-7)\/36). Which is the third biggest value? (a) 3 (b) r (c) 2\/9 (d) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 47996 and 47992 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -2*j + 3. Suppose 0 = 5*y - 2 - 183. Suppose j*a - y = 67. Is a a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 220*l**2 + 6*l - 1. Let m = -15 - -7. Let x be o(m). Let f be 40\/(-3)*(x - 6). Round f to the nearest ten thousand.\nAnswer: -190000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 680 and 128?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5 + 3 + (7 - 4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -22944*v**5 - 208*v**2*x - v*x + 223931*x + 2 wrt v?\nAnswer: -458880*v**3 - 416*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -r**2 + 10*r + 126. What is the remainder when (-1 - (-18)\/(-8))*-4 is divided by b(17)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 30*o**3 + 10*o**2 + 39*o + 58. Give i(-4).\nAnswer: -1858","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 36750107 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2470 (b) 0.4 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 7*(-550)\/(-70)*(576\/(-44))\/(-9)?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 637 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out -103 - -0.027.\nAnswer: -102.973","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3 + -1416271.\nAnswer: -1416268","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 996*j**3 + 565 with respect to j.\nAnswer: 2988*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -322.6 - -166. Round q to the nearest integer.\nAnswer: -157","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4\/(-22) + (-48)\/(-22). Let f be 0\/(-6 - (4 - (8 - 0))). List the prime factors of 1835\/25 - f - g\/5.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001031897 rounded to 6 decimal places?\nAnswer: -0.001032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 4*x + 9. Let a(b) = -2*b - 5. Suppose v + 25 = -4*d - d, v = 0. Let f(q) = d*a(q) - 2*m(q). Calculate f(-6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -76380, -152760, -229140?\n\"Answer: -76380*r","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5 + 13\/3. Suppose 3*s - 5*s = v - 11, v - s = 2. Let z = v + -6. Is z greater than d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 560 and 3112312?\nAnswer: 31123120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 - (1 - (-7 + 21) - -8).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 586.813 and 0.0564?\nAnswer: 586.7566","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*h + 5*b + 2426, 5*h - b = 5337 + 774. Suppose -11*f = -6085 + h. List the prime factors of f.\nAnswer: 2, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 51*r + 461. Let u be i(-9). Let c be (1\/u)\/((-32)\/(-192)). Solve -2*m - c*t - 8 = 0, -m + 0*m - 18 = 5*t for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j - 4*o - 24 = 0, 18*j = 16*j + 5*o + 23 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -175 + 351 + 2*o**2 - 75*o**3 - 176.\nAnswer: -75*o**3 + 2*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 169460\/1036 + -112 + (-22)\/14.\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 - 3 + 1)*(1 - 1 - 1) + 4 - 4 + 3 + 0 + 2 + 2)*(2 + 3 - 3)*(-4 + 4 + 21*q**2).\nAnswer: 336*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (19 + 28 - 27)*(2 + 7 + 0)*(2 - 2 + 2)*(-12*o**4 + 2*o**4 - 10*o**4) in the form n*o**2 + h*o + z*o**3 + x*o**4 + r and give x.\nAnswer: -7200","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.17 times 0.6?\nAnswer: 0.102","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -77303, 1, 76, -1.\nAnswer: -77303, -4, -1, 1, 76","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 721 + 3*g**2 - 721. Let t(x) = -7*x. Calculate t(y(q)).\nAnswer: -21*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -127*f**2 - 52*f**2 + 63*f**2 - 55*f**2 - 21*f**2.\nAnswer: -192*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -62*j**2 + 97 wrt j.\nAnswer: -124*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-39)\/21*(-2436)\/7917)\/(-94).\nAnswer: -2\/329","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 55, 5, 10, 3 in ascending order.\nAnswer: 3, 5, 10, 55","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 8920685 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -14, -10, -4, 4, 14?\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.134273 rounded to 3 dps?\nAnswer: -5.134","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4179*r**2 - 2089*r**2 - 2090*r**2 - 6*r - 2*r**3 - 3*r**3.\nAnswer: -5*r**3 - 6*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6, -15, -40, -87, -162, -271, -420, -615?\nAnswer: -862","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 161 and 368.\nAnswer: 2576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37 = -2043*a + 2006*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 12*l + 6. Let f(x) = -4*x - 2. Calculate -7*f(s) - 2*v(s).\nAnswer: 4*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = -p + 4, 4*y - 11 = 5*p - 31. Solve p*u - 4 = 8 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -339148*s**3 + 1740*s**2 + 4*s - 9 wrt s?\nAnswer: -2034888","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -7*u + 2. Let w(z) = -z. Give r(w(b)).\nAnswer: 7*b + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3)\/2*(7 + 276\/(-36)). Suppose 0*j - j + 166 = d, -5*d + 831 = 4*j. Let a = 2169\/13 - d. Which is smaller: m or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -28 - 29 - 2*r**2 - 34*r - r**3 - 15*r**2 - 16 + 14. Is s(-18) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -135*s - 27*s**3 + 135*s + (-6*s**2 + s**2 + s**2)*(3*s - 2*s - 3*s) + (-s**2 - 2 + 2)*(s + 2*s - 4*s).\nAnswer: -18*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*r**3 - 5180*r**2 + 1357025*r - 7956750.\nAnswer: 5*(r - 515)**2*(r - 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7*y**5 + y**5 + 4*y**5 + (-5*y + 5*y - y**2)*(0*y**2 - 2*y**3 + 0*y**2).\nAnswer: 14*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 442721 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = p - 6. Suppose -72 - 54 = t - 127. Which is the nearest to -0.6? (a) t (b) p (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3391 = -p + 25*p + 295. What is the highest common divisor of 8 and p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 5\/7*u**2 + 22\/7 = 0. What is u?\nAnswer: 2, 11\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 75*c**2 + 5*c + 5. Let h(z) = -37*z**2 - 2*z - 2. Let l = -9542 + 9547. What is l*h(q) + 2*r(q)?\nAnswer: -35*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1283 or -1266?\nAnswer: -1283","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -15, 3, -0.07, 0.5, -31.1?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve w - 178*y + 183*y = -7, w + 3*y + 5 = 0 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 plus 4.498?\nAnswer: -0.502","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = q + 1 + 1, 3*b - 2*q = 4. Suppose b = -4*o + 2 + 58. What is the second derivative of -2*d**2 + 7*d**2 + 3*d - o*d wrt d?\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 1419 + 526 = 5*m. Let b = m + -239. Suppose -5*o = -4*o - b. Is o a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 64444 + -102?\nAnswer: 64342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7931?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 29, 49, 67, 83, 97, 109?\nAnswer: 119","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -i**2. Let p(n) = 323*n + 341*n - 779*n. What is m(p(z))?\nAnswer: -13225*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = w**2 - 35*w + 62. Let q be s(33). Let p be (12\/(-27) - (-187)\/36) + q. Factor -1\/4*g**4 + 0 - p*g**3 - 1\/2*g**2 + 0*g.\nAnswer: -g**2*(g + 1)*(g + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k, 1 a, and 1 t when three letters picked without replacement from tkkalaakkkatkataakkl?\nAnswer: 14\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 2\/7, 7\/3 in descending order.\nAnswer: 7\/3, 2\/7, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) be the third derivative of -h**5\/60 + 5*h**4\/12 + 4*h**3 - 21*h**2 + h. Let l be n(12). Solve l*i - 5*i = 0 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:24 PM and 9:00 AM?\nAnswer: 576","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 252472710?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 48062.81 micrograms in milligrams?\nAnswer: 48.06281","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 35443 to the power of 1\/3, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*h**2 + 43463*h + 219250 with respect to h.\nAnswer: -6*h + 43463","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1502*p*q**4 - 12*p + 28*q**4 - q**2 - 12520*q wrt q?\nAnswer: 18024*p*q**2 + 336*q**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -10 + 13. Let h = 4 + -4. Which is the nearest to h? (a) q (b) 5 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = w - 1. Let k = 20 - 18. Let d be 14*((-48)\/(-21) - k). Let v(h) = h - 1. Calculate d*t(i) - 5*v(i).\nAnswer: -i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 95.05287ng in grams?\nAnswer: 0.00000009505287","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -100 - -245. Suppose -2*n = 5*w - 192, 2*n - o = -3*w - 33. Solve w*a = 45*a - 25 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 114 = -4*h + 134. Solve h*l = -5*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1585909?\nAnswer: 13, 121993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that -2*q**2\/5 - 486*q - 374308\/5 = 0.\nAnswer: -1034, -181","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0 - -1 - 16\/(-16). Find the common denominator of (t\/(-7))\/((-219)\/(-243) + -1) and -39\/16.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 760*v - 391*v**2 + 393*v**2 + 796*v - 1556*v.\nAnswer: 2*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = -0*l + 10. Suppose 0 = -l*a + j + 31, -a = 3*a + 2*j - 74. Let y = a + -9. What are the prime factors of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -11649512, -46598019, -104845536, -186392069, -291237624?\nAnswer: -419382207","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3*r**4 + 56*r**3 - 797 wrt r?\nAnswer: -12*r**3 + 168*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -21 and 49132?\nAnswer: -1031772","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*o**5\/7 + 309*o**4\/7 - 825*o**3\/7 + 465*o**2\/7 + 123*o - 774\/7 = 0.\nAnswer: -1, 1, 2, 3, 43\/12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 q when two letters picked without replacement from jijjjiijjiijjqjij?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -157*r**4 - 266975*r**3 + 47060714*r wrt r.\nAnswer: -1884*r**2 - 1601850*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 927*c + 16639 = 934*c. Is c a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2162\/3 + (-16)\/24. Suppose 68*y = 63*y + z. What is the units digit of 0 + y + 2\/2?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4\/6 + 14\/(-3). Let b(i) = 12*i + 28. Let f be b(-2). Is 375\/f - j\/16 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1407 + 339*o - 341*o + 1407.\nAnswer: -2*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 17 = 5*l + 6, l + 15 = b. Is 3 a factor of b\/2 - 18\/(-12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that 5*o**5 - 5340*o**4 + 104785*o**3 + 16010*o**2 - 303720*o - 209600 = 0.\nAnswer: -1, 2, 20, 1048","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -769 + 769 - 969*l**2 + 246*l**2 + 249*l**2 + 241*l**2 + 239*l**2.\nAnswer: 6*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.3 - 0.7. Let g = -971.9 + 971.5. What is the closest to f in -4, -0.15, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in two sevenths of a week?\nAnswer: 2880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 75 = -102*k - 435 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(189)*-3*-5)\/sqrt(3) + -2)**2.\nAnswer: -180*sqrt(7) + 14179","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 51 = -5*u. Let h = 53 - u. Suppose -5*a + 14433 - 3183 = -3*f, 0 = h*a - 2*f - 4496. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 13 + -13.2. Let k = t - -10.2. Suppose -285*f + 284*f = 0. Which is the nearest to 2? (a) f (b) 1\/3 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -4998*m - 1871. Let k(h) = 4998*h + 1871. Let i(a) = 6*k(a) + 5*p(a). Differentiate i(w) with respect to w.\nAnswer: 4998","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -4*i + 3. Let c(u) = -u + 1. Let n(x) = 3*c(x) - y(x). Let p(o) = 4*o - 2*o + o. Calculate p(n(s)).\nAnswer: 3*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -9*w + 28. Calculate d(-6).\nAnswer: 82","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h**2 - 1. Let w be ((-2)\/6)\/((-10)\/1620*-9). Let q(z) = 8*z**2 - 7. What is w*q(i) + 42*f(i)?\nAnswer: -6*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the second derivative of 0*f**2 - 1\/4*f**5 + 35\/6*f**4 + 0 - 55*f + 0*f**3. Determine p so that g(p) = 0.\nAnswer: 0, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1238546, 2477091, 3715636, 4954181?\nAnswer: 6192726","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 7*y**3 + 4*y**2 - 6*y + 6. Let d(b) = b**3 - b**2 - b + 1. Determine -6*d(f) + x(f).\nAnswer: f**3 + 10*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 166358 and 8028?\nAnswer: 446","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.0361 and 6840274?\nAnswer: 6840274.0361","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*g + 21 - 59 - g to the form h*g + v and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 3 + j**3 + 3*j**2 + 2 + 3*j + 2 to s + c*j**2 + d*j + k*j**3 and give c.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6631 and 11?\nAnswer: 72941","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - 5*w - 125 = 0, 10*w - 5*w = -2*g - 50. Round g to the nearest integer.\nAnswer: -25","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wf when two letters picked without replacement from {f: 9, w: 2}?\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*k**4\/5 - 117*k**3\/5 + 1683*k**2\/5 - 10527*k\/5 + 23958\/5.\nAnswer: 3*(k - 11)**3*(k - 6)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/(-3) + -1 + 0. Let y = 17.8 + -14.84. Let u = y - -0.04. Which is the third smallest value? (a) -1\/4 (b) u (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jzzzvzvvzzzzzvvzzvv. What is prob of sequence vv?\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6724?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3 + -12?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -901 + 903. Sort 1\/2, -4, 2\/3, l in increasing order.\nAnswer: -4, 1\/2, 2\/3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -481317 + 0.021835\nAnswer: -481316.978165","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the second derivative of -h**4\/6 + 159*h. Let i(u) = -35*u**2 + 1. What is b(i(z))?\nAnswer: -2450*z**4 + 140*z**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9354, 18696, 28028, 37350, 46662, 55964, 65256?\nAnswer: 74538","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 24, -9, 4 in descending order.\nAnswer: 24, 4, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 7*y + 3. Let n be l(3). Calculate the highest common divisor of 8 and n.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.046 in -1\/4, 1.593, -13?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1925, 1940, 1957, 1976?\nAnswer: 1997","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1 + 4. Suppose -5*w = 0, -f + x*w + 15 = -27. Calculate the greatest common factor of f and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -637255, -1274337, -1911419, -2548501?\nAnswer: -3185583","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that l**4\/2 + 7*l**3\/2 + 8*l**2 + 6*l = 0.\nAnswer: -3, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 50538*h**3*k + 82793*h**3 with respect to k.\nAnswer: 50538*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5418 = -107*y + 21*y. Calculate the greatest common factor of 1125 and y.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 13\/9 of a week?\nAnswer: 14560","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(343) - -2*sqrt(343))**2 + 3.\nAnswer: 3090","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -4*m**2. Suppose 0 = -j + 2*j - 1. Let y(i) be the first derivative of j + 0*i + 1\/2*i**2. Give y(x(w)).\nAnswer: -4*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 797537905?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -27*c**2 + 4*c - 16. Let m(p) = -56*p**2 + 9*p - 30. Give -4*m(l) + 9*z(l).\nAnswer: -19*l**2 - 24","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -12025700 to the nearest one million.\nAnswer: -12000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.37 - 17.27. Round s to zero decimal places.\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that 143 + 153 + 8*j + 142 - 426 + j**2 = 0.\nAnswer: -6, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -v**3 + 5550183 - 11100361 + 5550178.\nAnswer: -v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 181 a factor of 460060?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**0)**(12\/11)*n**(-6\/5)\/n**(-11) assuming n is positive.\nAnswer: n**(49\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -292 + 291.831. Let p = -0.169000433 - r. Round p to seven dps.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(360)*2*1 + sqrt(360) - sqrt(360))\/(-2*5*(sqrt(5) - sqrt(45))).\nAnswer: 3*sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.17 - -0.33. Let i = 1.8 + -2. Which is the smallest value? (a) 0 (b) d (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1790, 6, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = l**3 - 9*l**2 - 5*l - 21. Let i be q(10). Suppose -156 = -i*w + 23*w. Is w a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.3, -0.5, -8, 17, 2\/27?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*k + 7 - 7 + 2*k**2 - 19*k**2 + 2*k**2.\nAnswer: -15*k**2 + 11*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -217, -1\/7, 0 in descending order.\nAnswer: 0, -1\/7, -217","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 284.7987cm in kilometers?\nAnswer: 0.002847987","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*c - 2*c - 2*c + 0*c - 4*c + 2*c + (4 - 1 - 4)*(0*c - 2*c + c) - 5*c + c + 2*c.\nAnswer: -12*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 11 + -8. Suppose -4*m = -d*m - 5*n - 8, 4*m - 3*n = 32. Suppose 8*c - 3*c - 80 = 0. What is the least common multiple of c and m?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 115 is divided by 16.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -1844404, -3688855, -5533302, -7377745, -9222184?\n\"Answer: 2*w**2 - 1844457*w + 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 108869?\nAnswer: 108869","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:55 AM and 11:21 AM?\nAnswer: 266","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -149*a - 1 = -148*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -o**3 + 6*o**2 - 7. Let q(z) = 3*z**3 - 11*z**2 + 13. Suppose -29*p + 50 = -124. Calculate p*q(i) + 11*t(i).\nAnswer: 7*i**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -439, -875, -1311, -1747, -2183?\n\"Answer: -436*m - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 10*u - 6)*(-3*u + 5*u - 4*u)*(-108*u + 77*u + 70*u).\nAnswer: 780*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 times 16.8\nAnswer: 8.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -52, 7782, 74 in ascending order.\nAnswer: -52, 0, 74, 7782","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 28467*r**2*s - 14*r + 47346221*s wrt r?\nAnswer: 56934*r*s - 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1044260976 a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4060\/12528 - (-1)\/(-4).\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 49045336 is divided by 8414.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*o**3 - 2*o**3 + o**3 + o**3 - o**3 + 2*o**3 + (3*o + 0*o - o)*(-2*o**2 + 7*o**2 - 2*o**2) to the form m*o**2 + v*o**3 + s*o + x and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 4, v: 4, g: 3, b: 3, j: 3}. Give prob of picking 1 v and 1 b.\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -26647735 divided by -5\nAnswer: 5329547","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is b in 30\/11*b**4 + 6\/11*b**2 + 0*b + 36\/11*b**3 + 0 = 0?\nAnswer: -1, -1\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4)\/(-6)*(-33)\/(-22). Let p = 147 + -1325\/9. What is the smallest value in z, p, 2\/9?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 10, 86, 1, 0 in increasing order.\nAnswer: 0, 1, 4, 10, 86","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 17460 and 3338273430?\nAnswer: 8730","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 660762253 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s when two letters picked without replacement from {a: 5, h: 2, s: 8}?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*f = -120 - 330. Let n = f - -39. List the prime factors of n\/(-12) + (-402)\/(-24).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 3, o: 4, k: 4, h: 1, b: 2}. Give prob of picking 1 o, 1 b, and 1 h.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 35\/((-630)\/54)*1*3?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 602, -222, -1, 1 in decreasing order.\nAnswer: 602, 1, -1, -222","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.8 in -205, -0.5, -1, 207?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 599434689?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14376 is divided by 2361?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**4\/2 - 217*d**3\/2 + 7911*d**2\/2 - 7695*d\/2.\nAnswer: d*(d - 171)*(d - 45)*(d - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x + 5. Let c be l(-4). Let q = -381347\/18 - -21179. What is the common denominator of ((-17)\/4)\/c*-2 and q?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23200 is divided by 102?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 3 = -5*m, -2*w + 3*w = -3*m + 1. Solve 2 = -q - 3*f, 3*q + w*f + 5 = -1 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 4*a**3 - 9*a**2 - 7*a. Suppose -4*k = -1 - 7. Let j(u) = u**3 - u**2 - u. Let c(q) = k*t(q) - 14*j(q). Find the third derivative of c(s) wrt s.\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 29 divided by -449532\nAnswer: -29\/449532","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 13, v: 3}. What is prob of sequence hvv?\nAnswer: 13\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 61 divided by 4.\nAnswer: 61\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -2 times -0.118113\nAnswer: 0.236226","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that t**5\/3 - 6488*t**4\/3 + 10167352*t**3\/3 + 385153632*t**2 + 10572253488*t = 0.\nAnswer: -54, 0, 3298","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 62480 is divided by 4.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 57127 is divided by 4185.\nAnswer: 2722","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6\/11 or -1.6?\nAnswer: -1.6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 70*x**2 + 68*x**3 + 31*x**3 - 2 + 25*x**3 wrt x?\nAnswer: 744","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -2*c. Let u(b) = -7*b - 6. Suppose 4*l + 11 = 3*w - 11, 4*w - l - 25 = 0. Let t(n) = -7*n - 5. Let s(o) = w*t(o) - 5*u(o). Calculate s(h(q)).\nAnswer: 14*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.967747 to 1 dp.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 3 (b) 4 (c) -38\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*t + 0*t - 5*t**2)*(3*t + t - 7*t)*(t + 1 - 1)*(-55 + 22 + 2).\nAnswer: -465*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 287*y + 48*y**2 - 30*y**2 - 287*y.\nAnswer: 18*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 343465 to the power of 1\/2, to the nearest integer?\nAnswer: 586","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2.9766 + 0.0234. What is the fourth smallest value in -5, a, 0.3, -0.4, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3.9*3\nAnswer: -11.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w = 5*r + 11, -5*r + 35*w - 21 = 32*w for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*w + 29*w**2 + 32 - 86 - 2*w**3 - 2*w.\nAnswer: -2*w**3 + 29*w**2 - 54","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*1*(((2*sqrt(612) + sqrt(612))*2 - sqrt(612)*-1*3) + -2 + -1*1*sqrt(612) + -5)**2.\nAnswer: -1344*sqrt(17) + 78434","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-36)\/11*(-15 - -13)*1. Determine i, given that 60\/11*i**3 + g*i**2 + 16\/11*i + 0 - 50\/11*i**4 = 0.\nAnswer: -2\/5, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 482051147 to the nearest integer?\nAnswer: 784","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, u: 7, j: 3, v: 1, c: 2}. Give prob of picking 1 j and 1 v.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6095 - 6094. Sort t, -5\/8, 2\/7 in descending order.\nAnswer: t, 2\/7, -5\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 92 = 3*u + b, 0 = -u + 103*b - 107*b + 49. Calculate the remainder when 317 is divided by u.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 162 and 18?\nAnswer: 2916","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 4096, 8173, 12256, 16345, 20440, 24541?\n\"Answer: 3*p**2 + 4068*p + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -12.96731534 to 1 decimal place.\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -1212 (base 3) to base 13\nAnswer: -3b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*b**3 - b**3 - 2*b**3 + 0*b**3 + 2*b**3 - b**3 + (3*b + 0*b + 0*b)*(-35 + 35 + 3*b**2) to u*b + g*b**2 + q*b**3 + d and give q.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 386*x = 387*x - 22. Suppose -25*o = -26*o + x. What is the units digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 158599 is divided by 922.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -429*a + 97*a - 9185 + 2213 = 0 for a.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 54 a factor of 28296?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*h + 5*p - 9360, -4*h + 972 = 5*p + 8424. What is the common denominator of ((-32)\/(-44))\/4 + h\/(-616) and 9\/598?\nAnswer: 4186","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = j**2 + 3*j + 2. Is 10 a factor of n(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6 + (1 - (-63)\/14)\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(-3 + (-3 + 1*sqrt(99) - sqrt(99)) + -1*sqrt(99) + sqrt(99) + 4 + -1*(0 + sqrt(99))*-2))**2.\nAnswer: -96*sqrt(11) + 1600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s - 4 = -4*d, 1092*s - 6 = 1095*s for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 0*y = y - 7, v + y = 3. Suppose 3*q - 11 = v. Suppose -q*b = -506 + 91. What are the prime factors of b?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16176941 is divided by 4044233.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 11 + -1. Suppose 2*t = r, 4*o + 3*t - 7*t - 556 = 0. What is the highest common divisor of o and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2 (b) -10\/3 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + s - 4 = -s, 5*r + 10 = 5*s. Let m = -17 - -19. Find the second derivative of m*v**5 - 5*v + v + v + r*v**5 wrt v.\nAnswer: 40*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 315633 minus 477030?\nAnswer: -161397","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 380435 (base 10) to base 9\nAnswer: 638765","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -743\/935 - 1\/187. Let z be 31\/(-12) + 1\/3. Let g = z - -11\/4. What is the second biggest value in y, -1\/4, g?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -88243, -88245, -88247?\nAnswer: -88249","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -m - l - 124 + 144, -64 = -5*m + l. Calculate the lowest common multiple of m and 4514.\nAnswer: 31598","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -18*q**5 - 10884*q**4 - 1648922*q**3 - 1095656*q**2 - 182408*q.\nAnswer: -2*q*(q + 302)**2*(3*q + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5*d**5 - 116*d**5 + 16*d**2 + 4*d**4 - 18*d**5 + 2*d + 365 - 212 wrt d?\nAnswer: -7740*d**2 + 96*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*n + a - 138 = 48*n, -2*n = 4*a + 20 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*g - 109 - 41. Let u = g + 56. Is 31 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = o + 12. Let i be v(0). Suppose 0 = -11*t + i*t - 4. Let k = 10 - t. What are the prime factors of k?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4492 * -0.5.\nAnswer: 2246","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8.98269 + -9. Let o = 2.5 + -2.483. Let c = o + d. Round c to four dps.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.5, -1\/4, 5, -212?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = -u, 0*s - 5*u = 2*s - 21. List the prime factors of (-17 - s)\/(-1) + -3.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7463, 29855, 67175, 119423?\nAnswer: 186599","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -8 + 8. Let q = -0.1 + -0.1. Let y = q - -0.1. Is y > k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1308205578 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 667 is divided by 169.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 50 divide 1298?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1 + -11c?\nAnswer: -11b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the second derivative of w**4\/12 - 2*w**3\/3 - 3*w**2\/2 + 23*w. Suppose -2*a = -30 + 10. What is the units digit of y(a)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 29 and -455812235.\nAnswer: -455812206","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 3\/(18\/15)*-15*(-42)\/(-175)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2001 - -22210200?\nAnswer: 22212201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -u**2 + 7*u + 6. Let h = -2 + 8. Let p be o(h). Solve -26 = -4*v - 10, -p = 4*r - 3*v for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(3\/7)*l)**(4\/3)\/((l*l\/l**41)\/l**(1\/66)) assuming l is positive.\nAnswer: l**(18905\/462)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = g**2 + 5*g + 9. Let t be o(-3). Find s such that 60*s - 136 + 28*s**2 + 334 - 162 + 4*s**t = 0.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.3761, -1\/2, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n*(n**(-2)\/n)\/n*n))\/n*(n**5\/n)\/n*n*n\/n**4*n**(1\/6)\/n*n*(n**(2\/5)\/(n*(n*(n*n**(-2\/5))\/n)\/n))**(-33\/4) assuming n is positive.\nAnswer: n**(289\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*r**2 - 5800530*r - 2803845690075 = 0. Calculate r.\nAnswer: -966755","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 20 and 6.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 8? (a) -5 (b) 35 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7 - -14. Let h = 9 - n. Which is greater: -1 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.05261 - -0.296.\nAnswer: 0.34861","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 7\/6, 5, -2596 in decreasing order.\nAnswer: 5, 7\/6, -2596","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*w**5 + 0*w**5 + 4*w**5)*(1 + 1 - 4) - w**5 + 2*w**5 - 3*w**5 - 13147*w**5 - 1304*w**5 - 1989*w**5.\nAnswer: -16444*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 = 68*g + 12*g - 133. Find d, given that 1\/4*d**2 + 4 - g*d = 0.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(-5)*(-15)\/9*(-486)\/1134.\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 3, -2\/7, -2\/81, 0.2, 22?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uovu when four letters picked without replacement from {o: 2, v: 2, u: 4, f: 1}.\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 21*a**2 - 185*a - 32. Give t(9).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.4 (b) -0.2 (c) 4 (d) -0.115 (e) 0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11357, 22734, 34111, 45488, 56865, 68242?\nAnswer: 79619","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the third derivative of -143*u**6\/180 - u**5\/12 - 17*u**4\/24 - 19*u**2. Let x(p) be the second derivative of g(p). Is x(-3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.172383 + 0.172383. Let d = 0.1 - 0.3. What is the closest to p in 2\/5, -3, d, -5?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -53, 453, 1297, 2479, 3999?\n\"Answer: 169*d**2 - d - 221","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -11 + 21. Let h = 35 - 47. Let y = h + t. Which is the second biggest value? (a) -1\/2 (b) -0.1 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 0, 2.49, -2, -0.2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*k + 4*k - 2. Let x(o) = -2*o + 5 - k*o + o. List the prime factors of x(-5).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(1 + (sqrt(84) + -3*sqrt(84)*5)\/sqrt(7) + -1).\nAnswer: 140*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-40)\/(-4) - 4)\/(6\/9). Suppose v*o + 1 + 8 = 0. Is 5\/11 less than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 887567 is divided by 1602.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*u + 2*l + 32, -3*u + 4*l + l + 38 = 0. Is (-36)\/(-28) + u\/(-21) - -630 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence twtg when four letters picked without replacement from {o: 1, w: 1, f: 2, t: 3, q: 3, g: 2}?\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) be the first derivative of -g**2\/2 - g + 5. Let h be o(-4). Solve 0 = -h*t + 6 + 9 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1016*o + 137*o + 300*o + 371*o + 178*o)*(0 + 0 + 2*o**4).\nAnswer: 4004*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/9 - 14\/63. Suppose 0 = 2*o - 0*o. Let p(z) = z**3 - 13*z**2 + 11*z + 14. Let c be p(12). Solve a = 2*v + c - o for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 137 a factor of 1175281110?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 42*x. Let v(i) = -4*i - 312*i**2 + 3*i + 345*i**2 + i. Determine v(l(y)).\nAnswer: 58212*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-7)\/(-20) + 81\/(-108). What is the third biggest value in -0.03, y, 0.4?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7520*m - 5833*m - 4*m**2 - 2 - m**2.\nAnswer: -5*m**2 + 1687*m - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3414*o**3*r*x + 20396*o**3*x - 187*o**2*r*x + 55*o**2*r + o**2 + 3*o*r*x - 2*o*r + r - 1 wrt o?\nAnswer: 20484*r*x + 122376*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -618 + 618.1. What is the nearest to 1\/3 in 9, w, -4, 0.09?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 47449.\nAnswer: 23, 2063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is k in -2*k**3\/7 - 40878*k**2\/7 + 1556178*k\/7 - 1515298\/7 = 0?\nAnswer: -20477, 1, 37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 38526?\nAnswer: 2, 3, 6421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Add together 22 and -479.\nAnswer: -457","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 104 minutes before 7:53 AM?\nAnswer: 6:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Do 1006\/11 and 92 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 647232 (base 8) to base 2\nAnswer: 110100111010011010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -a + 4. Let b(r) = r**3 + 16*r**2 + 14*r - 9. Let x be b(-15). What is v(x)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = v**2 - 12*v + 21. Let d be m(7). Let i be 91\/d*6\/(-1). Let l = i + -34. Solve 0 = l*w - 5*a + 25, 4*w + 11 = -2*a - 3 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = -16, -5*r = 12*g - 10*g - 56. Suppose 1 = -d - i, -15*i = d - g*i - 15. What is l in 8\/9*l**2 - 8\/9*l - 2\/9*l**d + 0 = 0?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0948175 rounded to 4 decimal places?\nAnswer: -0.0948","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 5498 to the power of 1\/2, to the nearest integer?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.2 - 1. Let c = -1.8 - f. Let d be 198\/55 + (-6)\/2. What is the closest to c in -2\/13, -0.2, d?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) be the second derivative of 11*g**6\/30 + g**5\/20 - g**4\/4 + 133*g. Find the third derivative of t(z) wrt z.\nAnswer: 264*z + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o = -5*o + d + 5, -o + 4*d = 18. Calculate the least common multiple of o and (7 - (-1 + 1)) + 1.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1193 + 1179. What is the third biggest value in -2\/7, d, -0.02?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 63*l - 1112. Let v(u) = 82*u - 1482. Determine -9*f(q) + 7*v(q).\nAnswer: 7*q - 366","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h + 3*l - 28 = 4*h, -16 = 2*h - 2*l. Which is the closest to 0? (a) -1\/2 (b) -1 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -53*l + 55*l - 10 = 0 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does -32 = 3\/80644?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 6, 40, 90, 150, 214, 276?\n\"Answer: -t**3 + 14*t**2 - t - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -36 + 22. Let c be (-8)\/14*m\/4. Factor -c*q**2 + 2*q**3 - 4*q**2 + 4*q**2.\nAnswer: 2*q**2*(q - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/5? (a) -228 (b) -1\/5 (c) -0.1 (d) -1 (e) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 129362221.\nAnswer: 129362221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-31)\/4 + 10\/40. What is the nearest to 1 in 5, -0.4, v?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 649341272.\nAnswer: 2, 41, 929, 2131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -t**3 - 602*t**2 - 81952*t. Give m(-394).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 1, k: 1, y: 1, r: 1, t: 1}. What is prob of picking 1 k, 1 r, 1 y, and 1 v?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -0.99 * 3\nAnswer: -2.97","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 - (-4)\/(-16))*(-2)\/9.\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -85*v - 157. Let g be z(-13). Let p = g - 876. Does 8 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w + 4 = 2*w. Let g = w + 3. What is the units digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*z**3 + 2*z**4 - 6*z**3 + 2*z**3 + 8*z to the form y*z + w*z**3 + k*z**2 + p + l*z**4 and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:42 AM and 12:45 PM?\nAnswer: 303","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m, 1 j, and 2 z when four letters picked without replacement from {m: 2, z: 2, j: 1, p: 4}.\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -p**3 - 2*p + 2. Let y be t(2). Let r(s) be the first derivative of -s**2\/2 - 6*s - 2. Let m be r(y). Solve m*c = 3 + 5 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -v + 16. Determine i(20).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 37\/(-3)*-3*1?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 22 - 2*s**3 - 10 - 9 to x + h*s + r*s**2 + w*s**3 and give x.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*h**3 - 2*h**3 - 2*h**3)*(-1 - 397*h - 404*h + 296*h).\nAnswer: 1010*h**4 + 2*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -4 (b) 32 (c) -2\/5 (d) -87\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 + 2)*(3*a - 2*a + a + (4 + 2 - 5)*(-5*a + 5*a - a)) + (20 + 3 - 6)*(4*a - 3*a - 2*a).\nAnswer: -16*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 2 w when three letters picked without replacement from {w: 11, i: 5}?\nAnswer: 55\/112","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -48.00000029 + 48. What is h rounded to seven dps?\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10111001100100 (base 2) to base 5.\nAnswer: 340001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6 + -11. Let s be ((-3)\/(12\/10))\/((-4)\/8). Put s, h, -1 in descending order.\nAnswer: s, -1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 0 + -23222122332?\nAnswer: -23222122332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 5*t**2 + 5*t. Let w be s(-2). Suppose -m + w = 4*m. Is (-31)\/(4\/m + -3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 295 is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.04, -1, 3 in descending order.\nAnswer: 3, 0.04, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 2418320, 4836643, 7254966, 9673289, 12091612?\n\"Answer: 2418323*o - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1178?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 151628 a multiple of 1154?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -9 + 9. Let z be 1 + 8\/(l - -4). Suppose -z*t + 26 = u, -2*u - u = -5*t + 20. What is the units digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 23.02 + -0.02. Let x = 22.6 - a. Let p = 4 - 2. Sort p, -0.05, x.\nAnswer: x, -0.05, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 3\/994 and -51\/38.\nAnswer: 18886","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -36 + (14 - (18 - 33)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*3953.\nAnswer: 19765","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) be the first derivative of -l**5\/10 - l**3\/6 + 3*l**2\/2 + 3. Let g(b) be the second derivative of w(b). What is g(1)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = r + w - 3, 2*r - 2*w = 0. Solve -r = 3*m - 14 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-41*t + 41*t + t**2)*(-2*t + t + 2*t) + 0*t + 142*t**3 + 5*t - 137*t**3.\nAnswer: 6*t**3 + 5*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*o*t*x**3 + 1856*o*t*x**2 - 4*t*x**2 + 4*t + 178582*x**5 wrt x?\nAnswer: 12*o*t + 10714920*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -s**3 - 7*s**2 + 7*s - 3. Let i be p(-8). Suppose i = -v - 2*w, 3*v - w - 3*w = 35. Factor 2*o**4 + o**v + 0 + 5\/4*o**3 + 0*o + 1\/4*o**2.\nAnswer: o**2*(o + 1)*(2*o + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - i - 2)*(54 + 32 - 5).\nAnswer: -81*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = 2*s - n - 4, -5*n = 5*s - 10. Let w be 6 - 3 - 1\/(-1). Let k be 5\/(-140) + (-1)\/w. Which is the third smallest value? (a) k (b) s (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mmmmwmwwmmmmmmmwmmmm. What is prob of sequence mwmw?\nAnswer: 8\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 163 to the power of 1\/2, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -58138, -58100, -58062, -58024?\nAnswer: -57986","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mhglcklckcgh. Give prob of picking 3 c and 1 m.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 12628 and 55216504?\nAnswer: 607381544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 80? (a) -0.3 (b) 0.1 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 100, 90, 78, 64, 48, 30?\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1718208 and 576.\nAnswer: 576","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7621 is divided by 3798?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 11216, 16608, 22000, 27392, 32784?\n\"Answer: 5392*k + 5824","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11111000011000010110110 - -10000?\nAnswer: -11111000011000010100110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 70, 392, 1254, 2932, 5702, 9840, 15622, 23324?\n\"Answer: 46*g**3 - 6*g**2 + 18*g + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 56 = j. Is j a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -z**2 - 8*z + 1688. Calculate l(-45).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -41 in 9, 2, 1\/11?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -301 (base 5) to base 16.\nAnswer: -4c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 30 times 6716\nAnswer: 201480","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = j**3 - 20*j**2 - 2*j + 43. Let v be m(20). Suppose -v*o - 253 = -253. Put o, -1, -17 in descending order.\nAnswer: o, -1, -17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*g**3*z**4 - g**3*z - 134*g*z**4 - 4*g*z - 25 wrt z.\nAnswer: 24*g**3*z**2 - 1608*g*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 131103302000 (base 4) to base 13\nAnswer: 1790195","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2\/13 (b) 3\/5 (c) -2\/5 (d) -5\/8 (e) -0.394 (f) -15\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 65238359 to the nearest integer?\nAnswer: 403","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z when two letters picked without replacement from {a: 11, z: 3, s: 3, x: 2}?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 416206 and 651?\nAnswer: 1248618","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 22005720\/899 + -24478. Let y = 40421\/15283 - t. Calculate the common denominator of -83\/6 and y.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-3400)\/(-14025))\/((-1)\/((-6)\/(-4)))\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1728\/(-162))\/((-100)\/(-30))?\nAnswer: -16\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 5*g**2 - 23*g + 37. Determine x(3).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 62*o**2 - o - 3. Let t be (-10)\/4*128\/320. Does 12 divide v(t)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a century in months?\nAnswer: 750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(24\/7)*p**(-36)\/p)\/((p*p\/p**(-4\/33))\/p)**(-5\/3))**(24\/7) assuming p is positive.\nAnswer: p**(-175760\/1617)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 72767144?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -2*o**3 + 8 + 6*o**3 + 2*o - 11. Let g be p(1). Let 205*w**5 + 18*w**g - 15*w**4 - 202*w**5 + w - w = 0. Calculate w.\nAnswer: 0, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 2*c**2 + 130*c + 2109. Let a(l) = -l - 1. Let b be (1 - (-39)\/(-12))*4. Calculate the lowest common multiple of a(b) and d(-34).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 701 - 12541 = 0. Suppose 2*q - 6*q = m. What is q rounded to the nearest one hundred?\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 129504 divided by 284.\nAnswer: 456","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*y + 6*y - 12*y + 8*y**2 + y**2 to h*y**2 + t*y + f and give t.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/(57\/209))\/((1*-1)\/1).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -471, 2, 86, 24, 3, 1 in ascending order.\nAnswer: -471, 1, 2, 3, 24, 86","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -2795438 and 462739?\nAnswer: 3258177","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 42284014 is divided by 72.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -595b (base 12) in base 16?\nAnswer: -2717","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 10 - 8. Suppose -10*x = -12*x + 10. Let i(l) = -2*l**2 + 11*l - 6. Let s be i(x). Put g, -3, s in descending order.\nAnswer: g, s, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 104 and 2911779?\nAnswer: 23294232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 14*o - 570. Let g be t(41). Factor -22\/15*h - 12*h**3 + 92\/15*h**2 - 18\/5*h**5 + 2\/15 + 54\/5*h**g.\nAnswer: -2*(h - 1)**2*(3*h - 1)**3\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3360\/253 smaller than -13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 7181.4 plus -53518?\nAnswer: -46336.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-6)\/(-4) - 0)\/(5\/(-10)). Put 3, -1, t in decreasing order.\nAnswer: 3, -1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -840595445\/3 or -280198483?\nAnswer: -840595445\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3.809 + 0.091. Let b = -3.8999934 + i. Round b to 6 decimal places.\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-117 - 11 - 409)*(-6*v**2 + v**2 + 0*v**2) to b*v + g + f*v**2 and give f.\nAnswer: 2685","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 1 + 2*j**2 + 51988*j**3 + 2*j**2 - 51987*j**3 + 3 - 18*j. Calculate l(-7).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 3769 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-3)\/10*(3 + 23\/(-3)) + 1848\/3080. Suppose 1\/6*d**h + 512\/3 + 32\/3*d = 0. Calculate d.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*b**2 - 2*b**2 + b**2)*(-b + b - b)*(-109*b + 109*b - 70*b**2).\nAnswer: 70*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9537.806 years to millennia.\nAnswer: 9.537806","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -m**3 + m**2 - m + 1. Let o(w) be the third derivative of w**6\/60 - w**5\/10 + w**4\/4 - 4*w**3\/3 + w**2 + 77*w. Determine -6*j(a) - o(a).\nAnswer: 4*a**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 6.782745 to 3 dps.\nAnswer: 6.783","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*z - 5 + 9 - 50. Suppose 0 = 5*q - 56 - 59. Calculate the greatest common factor of z and q.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2191 + -0.92737?\nAnswer: 2190.07263","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.9 + -0.5. Let j = -1 - -4. Let d be 33\/99*4\/(-6). What is the closest to j in -2, d, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 6*d - d - d**3 - d. Let z be q(-3). Is 4\/(-6) - (-1255)\/z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 + 0 - 2*u + 0*u - 3*u + 0*u + 2*u + u - 2*u + (-2 + 0 + 4)*(2*u + 4 - 4) + 3 + u - 3 - u - 5 + 2*u - 3*u to w + a*u and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*w - 75*w**3 + 43*w**3 + 5*w + 33*w**3.\nAnswer: w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -3\/6752 (b) 2\/9 (c) -2\/5 (d) -0.42\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -128\/15? (a) -2\/3 (b) 4\/7 (c) -45\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 0 + 2)*(-1233*y + 2506*y - 1463*y) to the form m*y + k and give m.\nAnswer: -190","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2414 and 646.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2781 and 7344.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 70441?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 8838, 18154, 27474, 36798, 46126, 55458?\n\"Answer: 2*g**2 + 9310*g - 474","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 13404169 at least as big as 13404169?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/1139 at least as big as -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (4*sqrt(252)*2 + sqrt(252) - ((sqrt(252) + 0 - sqrt(252)) + 3)))**2 + -5.\nAnswer: -864*sqrt(7) + 20471","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.48 - -0.31. Let n = 0.07 + k. Let o = 0.3 + -0.4. What is the closest to o in -1, -0.4, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -8418 greater than -8418?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -79 + 78.62. Which is the fourth biggest value? (a) q (b) 1 (c) -3 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the first derivative of 686*f**5\/15 + 49*f**4 - 1120*f**3\/3 + 1450*f**2\/3 - 250*f - 5110. Find p such that v(p) = 0.\nAnswer: -3, 5\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2179.1 + 2179. What is the closest to h in 4, -0.3, -2\/5, 4\/5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 78266.\nAnswer: 2, 39133","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 4*r + 2*y + 4 = 0, -3*r - 2*y = 16. Let g(v) = 2*v + 1. Let n(x) = 4*x + 1. What is r*n(a) + 11*g(a)?\nAnswer: -2*a + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 65121637?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 81 - 40. What is the remainder when q is divided by 98\/7 - (0 - 0)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-o + o + o**3)*(-6*o**2 + 3*o**2 + 4*o**2) - 3*o**4 - 2*o**2 + 25*o**5 + 5*o**4 - 23*o**5 + (11*o**2 - o**2 - o**2)*(0*o**3 + 0*o**3 + 2*o**3).\nAnswer: 21*o**5 + 2*o**4 - 2*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -44*t**3 - 7*t**2 + 8*t - 5. What is the tens digit of i(-4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3 + -3 + (-1 + sqrt(1872) - sqrt(1872))*5 + -2)*-5)**2*-5.\nAnswer: -21125","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = -51 + 87. Solve m = -3*a - 2*w, 16*w + 3 = 15*w for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*p + 3*f - 22, 5 = 4*p + f - 7. Suppose 9 = 2*h + h. Suppose -5*k - 4*u = -94, -p*u + h = u. Is 9 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 807*n = 350*n - 708*n + 4660 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1896*p - 1445*p - 3250 - 3966 = 0 for p.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in 1\/7, 2\/7, 1808, 0.5, 34\/9?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -80*y + 77*y = -9. Suppose y*g + 808743 = 55443. What is g rounded to the nearest ten thousand?\nAnswer: -250000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1 and 0.49719.\nAnswer: -0.49719","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = 69 + 46. Find the first derivative of 14 + 26*j**4 + 6 + a wrt j.\nAnswer: 104*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1363803*i**2 - 18394710.\nAnswer: 2727606*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1 + -123014719.\nAnswer: -123014718.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 2 g when three letters picked without replacement from pnnpgbnbengb.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1569661 a multiple of 241?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -698647*r**4 - 3*r**2 - 24847*r - 8 wrt r?\nAnswer: -16767528*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -a**2 + 9*a. Let u be g(8). What is the highest common factor of 8 and u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**2\/2 + 154*g + 307\/2.\nAnswer: (g + 1)*(g + 307)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8669224?\nAnswer: 2, 59, 18367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 131 + -130.9. Put -2, -9, g, 5 in decreasing order.\nAnswer: 5, g, -2, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2160\/105)\/((-832)\/(-4368)).\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21354.\nAnswer: 2, 3, 3559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-5)\/(-4 + (4 - 1)). Calculate the highest common factor of 45 and x.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2015 is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 207 minutes before 7:24 AM?\nAnswer: 3:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 377? (a) -0.4 (b) 5509 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*m**3 + 2835*m**2 - 74598*m - 7093080.\nAnswer: -3*(m - 915)*(m - 68)*(m + 38)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.4896*2249.\nAnswer: 1101.1104","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 32864 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 4) in base 14?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6 + -14. Let b be (-4)\/(-10) - g\/(-20). Let d = 14.6 + -14.4. What is the third smallest value in b, 2\/11, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2 - -e292?\nAnswer: e290","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5024084 is divided by 2691.\nAnswer: 2678","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 5*i - 2. Suppose 2*x + 4 - 6 = i*h, -5*x = -2*h - 13. Which is greater: 3\/35 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 6*((-28)\/(-8))\/(-7). Let m = -1393 + 1389. Sort m, h, -2, -12 in ascending order.\nAnswer: -12, m, h, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 115 = u, -5*u = -4*a - 95 + 241. Let i = a + -80. Is i\/(-2) - (-3)\/6 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -57 + 43. Which is the fourth smallest value? (a) o (b) 0 (c) 1\/7 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5912*n + 5950 = 5982*n for n.\nAnswer: 85","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -42*r + 6. Let u(c) = -9*c + 1. Let v(n) = -l(n) + 6*u(n). Let x(b) = 0*b + 0*b + 2*b. Let i(z) = -2*v(z) - 11*x(z). Let f(t) = 9*t**2. Give f(i(q)).\nAnswer: 36*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1354746 = -720*r + 697*r. What is the ten thousands digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3473.947ml in litres?\nAnswer: 3.473947","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1 + 7. What is the smallest common multiple of (-7)\/(-3) + 30476\/228 and n?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ik when two letters picked without replacement from ykkkktkktkkkkitkokkk.\nAnswer: 7\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -18 - -3. Let j = -12 - c. Suppose 0 = 2*d + 5*k - 52, d - 12 - 3 = j*k. Does 7 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/5 (b) -2 (c) -17 (d) -0.3 (e) -2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -l*n**2 + 5411095*l*n*t - 18*n**2*t + 4*n**2 - 22*n*t - 4*t + 23 wrt l?\nAnswer: -n**2 + 5411095*n*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) be the second derivative of -u**6\/15 - u**5 + 23*u**2\/2 - 27*u + 1. What is the derivative of k(i) wrt i?\nAnswer: -8*i**3 - 60*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) 1\/2 (b) -4 (c) -11\/8 (d) 22\/7 (e) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -101 by -105.\nAnswer: 101\/105","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -171 - -175. Put m, 1, -4 in descending order.\nAnswer: m, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) be the first derivative of o**2 + 13*o - 8. Let n(c) = 3*c + 19. Let p = -2620 - -2613. Give p*k(r) + 5*n(r).\nAnswer: r + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that 3*f**3 + 12*f**2 + 15*f + 6 = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 6*q - 17. Put q, 0, -4 in ascending order.\nAnswer: -4, 0, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1425 and 1254?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -2\/3 (b) 5 (c) 2\/2423 (d) 487\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 71 = 3*h, h - 4*h + 3*l = -66. Is 4 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 10021922, 40087694, 90197314, 160350782, 250548098, 360789262, 491074274?\n\"Answer: 10021924*h**2 - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 10.4 - -1.1. Let q = -1407 - -1417.49. Let r = q - m. What is r rounded to one decimal place?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -176*r + 174*r = d - 91, r + 57 = 4*d - 25*d - 0*r for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 83\/26696 and -23\/2272.\nAnswer: 106784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 478, 955, 1432?\nAnswer: 1909","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 339 - 199. What is the greatest common divisor of 308 and c?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-67 + 5)*1\/(-3)*6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 56\/(-10) - 15\/(-25). Is 2\/((-1)\/l*1) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 11, l: 2}. Give prob of sequence dddd.\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + -3 + 7 - (4 + -4).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5 - (0 - (10 - 17))) + (-13 - -6)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -k - 22*k + 3*k.\nAnswer: -20*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -93 - -174. Let i = -75 + t. Let p(r) = 2*r + 2. Let g(o) = -o - 1. Determine i*g(f) + 2*p(f).\nAnswer: -2*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -15*-11*2\/6. What is the highest common factor of 5 and z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 158 is divided by 70.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 4 = 0, -h + 16 = -3*h + 2*p. Let w be 2\/(8\/h - -2). Suppose 2*s = -s. Solve -w*v = -3*g - 10 - 8, s = -5*g + 4*v - 25 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1.267 + 90.133. Which is smaller: i or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 18227 * 7.\nAnswer: 127589","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 39645, 79348, 119053, 158760?\n\"Answer: f**2 + 39700*f - 56","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 15 - (248 + -242)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -128 - -122.3. Let w = -5.8 - y. Let m = -4 - -9. Which is the nearest to w? (a) 1\/6 (b) -6 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 11419687?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = q - 3. Let o be ((-3)\/(-6))\/(2\/32). Let i be n(o). Let x be ((-44)\/i)\/((-2)\/10). What is the highest common divisor of 4 and x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*s**2 - 5242*s + 5242*s.\nAnswer: 9*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*b**2\/5 + 1778*b\/5 + 3516.\nAnswer: 2*(b + 10)*(b + 879)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 591*u**2 - 27*u + 470. Let l(m) = -1183*m**2 + 45*m - 939. Let g(j) = -5*h(j) - 3*l(j). Find the first derivative of g(f) wrt f.\nAnswer: 1188*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in thirty-seven halves of a century?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + -2*((sqrt(243)*3 + 3)**2 - (-4 + sqrt(243) + 1)))*-2 + -2.\nAnswer: 612*sqrt(3) + 8804","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 5*h = -565, 4*h = 6*h + 6. Let f = d - -157. Which is bigger: 40 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8168?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 30 = -4*a. Sort a, -4, -3 in decreasing order.\nAnswer: a, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a millimeter in micrometers?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1637 - 1633. What is the third biggest value in 2, i, -1\/4, -489?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 48 + -9. Calculate the greatest common factor of 26 and g.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 45380772 to the nearest integer?\nAnswer: 6737","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -a - 1659?\nAnswer: -1667","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6918?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y**2 + 8*y + 13. Let z be l(9). Let u = z + -9. What is the remainder when u\/2*(-24 + 10) is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u + 3. Let q be w(0). Let l = 2 - q. Let s = -4333 - -4330. Which is the second biggest value? (a) l (b) 3 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -406066 + 2.\nAnswer: -406064","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, i: 1, x: 4, m: 1, q: 6}. What is prob of picking 2 x?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 758870?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b + 3*b = 12, 2*b + 52 = 5*d. Let u be 3*(-4)\/d*-66. Let w = 135 - u. What is the units digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29 = -5*v + 2*l, -30*v - 25*l - 48 = -33*v + 17 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 29, 26, 23, 20, 17?\n\"Answer: -3*a + 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 41\/253 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -2*s + 2. Let m(t) = 2*t - 3. Let v = 150 + -144. What is v*n(b) + 4*m(b)?\nAnswer: -4*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*f - 2*f + 16 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 18994215371 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -p**3 - 15*p**2 + 17*p + 17. Let x be m(-16). Find the common denominator of -5\/9 and (-845)\/52 - (-1 + x).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1262 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**3\/l)\/l*l\/(l**(-2\/37)\/l)*l*l**(-15\/8)*l**(-1\/17))**(-13) assuming l is positive.\nAnswer: l**(-138697\/5032)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 23*h + 5. Let b(l) = -23*l - 4. Give 3*b(f) + 2*w(f).\nAnswer: -23*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6237 and 405?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Do -612 and 1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2962 is divided by 38?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 2*i**2 - 3804*i + 916359. Give y(283).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.5 in -0.5, 0, 3\/2, 5\/18?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ovr when three letters picked without replacement from kuruuvruforo.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -l - 15. Let d be -1*(-2 - -6) + (24 - 20). What is a(d)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1f + -7?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Are 557 and 714 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 4*j + 6 = 0, -5*y - 5*j = -j - 9. Suppose -4*n = -12, 3*i - y*i - 23 = -5*n. What is i rounded to zero dps?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 137 = 2*t, 2*t - 4*t - 5*x + 139 = 0. What is the units digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-2)\/3)\/(1\/(-3)). Let x be (-2)\/(-10) + 44\/5. Suppose -x = -4*z + 7. Solve 0 = z*y - u*a + 50 - 20, 3*a = -3*y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is q in -3992\/9*q + 1992008\/9 + 2\/9*q**2 = 0?\nAnswer: 998","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1478.1 - -1478. Let n = -2.66 - 0.34. Which is the closest to -0.08? (a) n (b) 3\/4 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3047684 a multiple of 92?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 = 3*r + r + a, -2*r - 2*a + 6 = 0. Suppose -4*k + r = -2*k. Suppose k*o - 10 = -v, -5*o + 0*o - 4*v + 7 = 0. What are the prime factors of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -104*q + 75. List the prime factors of m(0).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -332*v + 16293. Calculate g(50).\nAnswer: -307","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 183759.\nAnswer: 3, 61253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -15 - (12 + -11) - 1 - -9 - (-160 + 26)?\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine halves of a micrometer in nanometers?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1 - 2. Let o = 58 - 60. Which is the third biggest value? (a) o (b) w (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.4 - 2.6. Let t = u - -2.5. Let f be 6\/(-8)*(-8)\/24. Which is the third smallest value? (a) t (b) -4\/3 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 167630 and 2?\nAnswer: 167630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -274*b**2*n + 7*n - 59 wrt b?\nAnswer: -548*b*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -406292 (base 11) in base 12?\nAnswer: -275759","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -r**5\/8 + 3989*r**4\/8 - 2486019*r**3\/4 + 991521983*r**2\/4 + 4972039*r\/8 - 1983047955\/8 = 0. Calculate r.\nAnswer: -1, 1, 997, 1995","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 4*i**2 + 757*i - 756. Let q be d(1). Solve q*z + 3*x - 9 = 0, -z - 9*x + 6*x + 9 = 0 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 45426 (base 7) in base 15?\nAnswer: 3640","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 18 - 13. Suppose -b*u + 587 = -473. Does 53 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -27*q + 34. Let w be x(-2). Let l = 91 - w. What is the greatest common divisor of l and 24?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wloooooltolowowohl. What is prob of picking 1 w, 1 t, and 1 h?\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 2\/19 (b) -0.1 (c) -1\/2 (d) 0.8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 7\/3 + -8*(-5)\/60. Let b be -3 + (-4)\/s*72\/(-96). Which is bigger: b or -6\/11?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12277 + 7407 = 249*j + 269*j. Solve -18*h - j = -56 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22224 divided by -3?\nAnswer: -7408","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12062141.\nAnswer: 7, 13, 83, 1597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 8.26186 micrograms?\nAnswer: 0.00000826186","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/4*2 + -1. Suppose -3*t + 163 - 97 = 0. Let d = t + -87\/4. Sort -3\/2, d, c in ascending order.\nAnswer: c, -3\/2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y**(2\/3))**(-44)\/(y\/((y\/((y*y*y*y\/(y*y*y*y**(-2))*y)\/y))\/y*y)*y**3) assuming y is positive.\nAnswer: y**(-238\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 78169277 a multiple of 252?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) be the second derivative of x**4\/6 - 4*x**3\/3 - x**2\/2 + 8*x. Is 21 a factor of k(8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 355*c**2. Let x(h) = -1653*h**2. Calculate x(o(p)).\nAnswer: -208319325*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = w**2 - 21*w - 43. Let l be v(23). Let y(p) be the second derivative of -1\/36*p**4 + p + 0*p**2 + 0*p**l + 0. Factor y(u).\nAnswer: -u**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((27\/(-162))\/(14\/(-210)*-5))\/(1\/(-186))\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0 + -2. Let z = -27 - -24. Let f(x) = x**2 + x - 7. Let u be f(z). Which is greater: u or t?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2001123 (base 4) to base 3.\nAnswer: 102100210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -2*m**2 + 5*m - 1. Let b(p) = 33973 + p**2 + 33970 - 67943 - 3*p + p. Determine -8*b(i) - 3*z(i).\nAnswer: -2*i**2 + i + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 100 and 90934100?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 868, 897, 946, 1015, 1104, 1213, 1342?\n\"Answer: 10*c**2 - c + 859","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3 or 39\/14?\nAnswer: 39\/14","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 o when two letters picked without replacement from {v: 6, j: 1, e: 1, o: 6, w: 1, t: 3}?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 4*a**2 + 4*a + 10. Suppose 85*s - 130*s + 225 = 0. Let n(y) = -2*y**2 - 2*y - 5. Give s*n(g) + 3*z(g).\nAnswer: 2*g**2 + 2*g + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 171*f - 178*f - 404 = 397*f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:13 PM and 4:41 AM?\nAnswer: 388","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -1506*m - 96. Let r(o) = -7531*o - 529. What is -2*r(q) + 11*s(q)?\nAnswer: -1504*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2436715?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -0.17, -2\/15, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 t when three letters picked without replacement from {t: 5, e: 1, i: 4, r: 1, u: 4}?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that -144*r**2 + 63192675*r - 1316514 = 0.\nAnswer: 1\/48, 438838","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4327\/1054 - 223\/31. What is the common denominator of ((-272)\/160)\/((-1)\/(-2)) and x?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 554402328 to the power of 1\/9, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 55 = -7. What is the least common multiple of 27 and y?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the first derivative of 2*k**3\/3 + 5*k**2 + 9*k + 3. Let g be n(-7). Solve 0 = -5*t - g + 12 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 17*q + 4*q**3 - 6*q**2 - 40*q + 17*q**3 + 6*q**2 to the form w*q**2 + y*q**3 + o + n*q and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -418 + 276. What is the remainder when 4\/8 + d\/(-4) - -4 is divided by 40?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 54408 is divided by 223?\nAnswer: 219","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 146 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 22 - -37?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45*o + 83*o - 114 = 0. Which is the closest to -0.4? (a) 0.3 (b) -0.6 (c) o (d) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3878871?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, -2.64, -5\/37, 5 in decreasing order.\nAnswer: 5, 0.5, -5\/37, -2.64","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vys when three letters picked without replacement from {k: 1, x: 3, y: 2, s: 3, j: 2, v: 4}?\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 42*33\/(-24)*(-77)\/(1617\/24)\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26678443 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 1, 2\/3, 4 in descending order.\nAnswer: 4, 3, 1, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -18*p**3 - p**2 + p + 1. Let c be s(-1). Let a = -304 - 67. Let m = -218 - a. What is the highest common factor of c and m?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -601\/18 + 203\/6. Let h = -31 - -36. Which is the closest to 1\/2? (a) h (b) -5 (c) 4 (d) m\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000001616 to 6 dps.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = n**2 - 13*n - 14. Calculate the lowest common multiple of (-3)\/(-6) - 126\/(-4) and t(15).\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 9*w + 18. Let r be ((-4)\/14)\/((-248)\/868). Let f(c) = 1. What is r*q(b) - 18*f(b)?\nAnswer: 9*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -4375, -8744, -13113, -17482, -21851, -26220?\n\"Answer: -4369*y - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3 + 0. Suppose c = f + 3. Solve -c + 0 + 2 - 10*t - 2*t**3 - 8*t**2 = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 9 (b) 17 (c) -11448\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1 + -2. Let c be (-3 - -2)*4*b. Suppose -5*y + 5*i + 60 = 0, c*y - 4*i = i + 48. What are the prime factors of y?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tth when three letters picked without replacement from {x: 2, h: 7, t: 2}.\nAnswer: 7\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4.68 - -3.29. Let y = v - -1.4. Let k = y - 11.51. What is k rounded to zero decimal places?\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(1\/3)\/q)\/q)**(-25\/4)*q**(-11)*q*q**(-9) assuming q is positive.\nAnswer: q**(-103\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the first derivative of -10*c**2 + 9*c + 11. Let s(g) = -7*g + 3. Suppose -670*k = -657*k - 78. Calculate k*m(t) - 17*s(t).\nAnswer: -t + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3895.009 and 16.9.\nAnswer: -65825.6521","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 77 and 77.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 42371*y**2 - 63*y + 930. Let o be h(18). What is o rounded to the nearest 1000000?\nAnswer: 14000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k = -3, 2*b - 5*k - 7 + 16 = 0 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 4*n + 12, -n + 107 = -r. Let q(o) = o**3 - 6*o**2 + 5*o - 3. Let m be q(5). Is -3 + 2\/m*r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 20 and 40?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10 - 3) + 4 + (23 - (-13 + 28 - 2))?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = 3*d - 7*d. Find the second derivative of -3*t**5 - 119*t - t**d + 118*t wrt t.\nAnswer: -80*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence diit when four letters picked without replacement from {i: 2, t: 1, d: 2}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5 - -15. Suppose v + 18 = s*v. Solve -6 = v*h + h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bzbkkxbkkkkxxbbkkbk. What is prob of picking 2 x, 1 k, and 1 z?\nAnswer: 9\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -722 + 218 = 28*v for v.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 88339?\nAnswer: 88339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.02592383 rounded to two decimal places?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2.9 - -1.9. Let k(x) be the second derivative of x**3\/2 - 15*x**2\/2 + 13*x. Let t be k(5). What is the nearest to u in 0.3, t, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -26 (b) -24.2 (c) 50\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (488\/2684)\/((-90)\/66)?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*b - 7*y + 2*y + 145, y + 71 = 3*b. Suppose 0 = -d - b + 20. Suppose 30 = -k - 4*k. Put k, 1, d in increasing order.\nAnswer: k, d, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1023676 - 21?\nAnswer: 1023655","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: 0 * -0.042\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -5\/6, 55, 47\/19, -2\/7, -2\/9, 4?\nAnswer: 55","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 549\/(-180)*-5 + -15?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/(-3)*-21)\/(22\/66)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -82*t**3 + 2*t + 73*t**3 - 2*t.\nAnswer: -9*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 4*y = -25, 2*d - 21 = 4*y - 3. Suppose -10026 = d*q + 40206. Is 3\/2*q\/(-36) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-1))**(-18)*(z**(4\/9)*z)\/z**(1\/6) assuming z is positive.\nAnswer: z**(347\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -392 = -4*v - 4*d, -4*v - 3*d = 2*d - 392. Calculate the remainder when v is divided by 35.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 151085217*i**5 + 25983825*i wrt i?\nAnswer: 3021704340*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - (2 - 5) - 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12\/(-10))\/(2\/(-5))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 148 - -132. What is the hundreds digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(-3) + 10\/30.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*z**3 + 136*z**2 - 2304*z.\nAnswer: -2*z*(z - 36)*(z - 32)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 64 and 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -6, -1, 77, 5, -129 in increasing order.\nAnswer: -129, -6, -1, 2, 5, 77","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 300?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 14141\/6 + -2364. Suppose 11*p + 3 - 3 = 0. Calculate the common denominator of r and (p - 15\/4) + 1.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x\/x**(-2\/23))\/(x*x**6*x))\/(x*x**(-1\/7)*x*x**(2\/13)\/x))**13 assuming x is positive.\nAnswer: x**(-16585\/161)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (-1 + (-6*(-2*sqrt(64) + sqrt(64)))\/(sqrt(242) - (sqrt(242) + -5*(sqrt(242) + sqrt(242)*-2) + sqrt(242)) - sqrt(242)))**2.\nAnswer: 48*sqrt(2)\/77 + 24868\/5929","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 + 12*j + 7*j**2 - 11*j - 6*j**2 - 2*j**4 to the form a*j**3 + d*j**2 + v*j**4 + b*j + m and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**5)**(-1)\/(x\/x**7*x*x)**(-3\/10) assuming x is positive.\nAnswer: x**(-31\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 12 and 637440?\nAnswer: 637440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 12*l + 1. Let a be y(1). Let h = a + -9. Suppose -h*w = -5*w + 1. What is the lowest common multiple of 10 and w?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -506, -502, -488, -458, -406, -326, -212, -58?\n\"Answer: u**3 - u**2 - 506","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1951 - -42923\/22. Let k(s) be the first derivative of 2\/11*s**3 + 17 - 2\/11*s**2 + 0*s - i*s**4. Factor k(n).\nAnswer: -2*n*(n - 2)*(n - 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 600 and 100.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g - b + 1 = 0, -2*g + 878*b = 865*b - 41 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 284 and 130924.\nAnswer: 284","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 6807041 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -1651 (base 13) in base 11?\nAnswer: -250a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -104, -392, -854, -1502, -2348, -3404, -4682, -6194?\nAnswer: -7952","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 211 - 212.51. Let n = h + 1.48. Sort n, 2\/5, 0, 1\/6 in ascending order.\nAnswer: n, 0, 1\/6, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 30*w - 53 = -31*w, -3*w + 15 = 0. Solve 0 = -2*s - 2*q + 10, 16*s - o*s = -5*q + 21 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*d**5\/2 - 17955*d**4\/2 - 1055887*d**3 + 3011222*d**2 - 1899852*d + 345952 = 0.\nAnswer: -569, -152, 2\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 298013 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 470 = b - 3*o, 5*b - b - 4*o - 1840 = 0. Suppose 137 + b = 16*v. Calculate the remainder when 184 is divided by v.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1184858.\nAnswer: 2, 592429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = 4*s - 17, 4*s - 2*g - 16 = -2. Let a(f) = f**2 - 5*f - 5. Let w(c) = 2*c**2 - 14*c - 14. Give s*w(o) - 14*a(o).\nAnswer: -4*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 7496963*a**3 + 2 - 7496287*a**3.\nAnswer: 676*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 993 + -991. Solve -9 = 2*h - h + i*o, -2*h + 2*o = 0 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 332 minutes before 4:33 AM?\nAnswer: 11:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -8 - ((-168872)\/10554 - (-40 - -32)). Is -1 equal to l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 109 - 95 - 28 + m. Suppose -5*j + 4 = -11, -6 = 4*u - 2*j. What is o(u)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -8*x**3 + 13*x**2 + 3*x + 4. Let j(s) = 13*s**3 - 25*s**2 - 5*s - 7. Let h(d) = -3*j(d) - 5*l(d). Determine h(-10).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 38339 is divided by 180?\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 169*m**3 + 14*m**2 + 63*m - 106. Calculate u(3).\nAnswer: 4772","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 3503 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Add -45.91798 and 105.889863.\nAnswer: 59.971883","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5 - -5) + 3 + 0 + -4.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -2*f - 4. Let n be v(-3). Suppose n*m = 4*m - 2. Let g = 21\/1754 - 1133\/387634. Which is greater: g or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20799851?\nAnswer: 19, 197, 5557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -0.4, -1, -0.093, -0.01, 4, -51?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 2 u when three letters picked without replacement from {e: 3, y: 1, o: 1, h: 3, u: 2, z: 3}.\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 811532 is divided by 424?\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*u - 2*u + u)*((1 - 2 - 1)*(3 + 4 - 5) + 1 + 2 - 2) - 9*u - 13*u + 33*u.\nAnswer: 8*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*u**4 + 3*u**4 - 2*u**4 + (-19*u**2 + 44*u**2 - 26*u**2 - 2*u)*(-22*u + 11*u**2 + 22*u) as p*u**4 + h*u**2 + x*u + z + i*u**3 and give p.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 33 + -5. Suppose 3*w - 9 = m + 1, 5*m + l = 4*w. Calculate the highest common factor of w and 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 383*y = 408*y + 125 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 59 + -7bbb?\nAnswer: -7b62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = t - 1. Let i be r(4). Suppose -25 = f + 3*f - g, i*f + g = -10. Let m be (-7301)\/(-1) + f + 4. What is m rounded to the nearest one thousand?\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2139272*-3.69\nAnswer: 7893913.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 28728299317 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 2*j - 11 = -3*h, -3*j = -3*h - 57. Let f(l) = -l**2 + 55*l - 201. Let t be f(51). Find the second derivative of t*m - m + j*m**3 - 8*m**3 wrt m.\nAnswer: 54*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.06 + 0.04. Which is the biggest value? (a) -2\/5 (b) n (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 11*i**2 + 1. Calculate the remainder when n(2) is divided by 23.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (784\/48 - 17)*24\/(-176)*6\/6.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1873 + 1873 + 1524*r + 303*r to n + p*r and give p.\nAnswer: 1827","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -3*f**2 + 17*f + 554. Calculate b(22).\nAnswer: -524","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (12\/10)\/((-22)\/10). Which is the biggest value? (a) -3 (b) 5 (c) v (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 57 divided by -5?\nAnswer: -57\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -1404207, -2808405, -4212603, -5616801?\n\"Answer: -1404198*a - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1595 - -2295. What are the prime factors of n?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in r - 2453 + 1229 + 1210.\nAnswer: r - 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 134 = b - 2*w, w + 265 = 197*b - 195*b. Calculate the highest common factor of b and 957.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 14\/11 in 1, 4, 0.2, 2\/7?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -3*q - 3. Let r be h(-2). Which is the closest to r? (a) 0.4 (b) 3 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8)\/(-6)*3\/(-2))\/13.\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the third derivative of n**5\/60 - 11*n**4\/24 - n**3\/6 - 9*n**2. Let p = -369015\/28 + 13177. Calculate the common denominator of d(6) and p.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/9 in 4, 2\/13, -3\/4, 3?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the first derivative of -m**2 + 5*m - 3. Let p be y(4). Let u(b) be the third derivative of b**4\/6 - 2*b**2. Calculate u(p).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = -4*c + 18, 3*c - 31 = -4*s + 9*s. Solve 13*f = -c - 6 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yynnbznnbnbbykyby. What is prob of picking 1 k, 1 z, 1 b, and 1 n?\nAnswer: 5\/476","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is c7 + 0?\nAnswer: c7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4 + -4.3. Let b = -0.26 - f. Let n = b - 0.04. What is the biggest value in 1, n, -4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 257620014?\nAnswer: 2, 3, 1590247","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + k + 31 = 5*k, k = -3*w - 41. Suppose -51 = -2*t + 3*l, -26 = t - 3*t - 2*l. Let a = t + w. Solve 0 = 7*s - a*s - 4 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 710 + -422. What is the greatest common factor of u and 32?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33179193491 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-19*u + 53*u + 25*u)*(-5 - 3 - 1) to the form q*u + x and give q.\nAnswer: -531","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -38377, -76753, -115129, -153505?\n\"Answer: -38376*t - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*b + 546 = 794. What is the least common multiple of 1 and b?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5798?\nAnswer: 2, 13, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -g**3 - 3*g + 6*g + 6*g**3. Let d = 5 - -11. Let h(n) = 26*n**3 + 16*n. Let p = -17 - -14. Determine d*z(m) + p*h(m).\nAnswer: 2*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -1 (b) 2 (c) 1\/4 (d) 1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 164373*0.8\nAnswer: 131498.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -i - 7*i - 4 - i**2 + 0*i - 1. Let o(g) = 6*g - 5. Let n(r) = 4*r - 3. Let x(c) = -8*n(c) + 5*o(c). What is -2*v(a) + 9*x(a)?\nAnswer: 2*a**2 - 2*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Add 63.350306 and 0.\nAnswer: 63.350306","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4239183 and 584?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -4238 + 5212668\nAnswer: 5208430","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 15048 and 22572.\nAnswer: 45144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6 + -54. Let t = -37 - y. Differentiate -21 - 10*i - 2*i + t with respect to i.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1426)\/(-31) - -6) + -5\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 370 - 371. Let t be 4*(10\/(-8))\/(-1). Let f(h) = -h + 1. Let q be f(t). What is the third biggest value in m, q, 1\/2?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -2*(-3)\/(-9)*-12. Let x = 12 - y. Suppose -3*q - 56 = -7*q. Solve z + 3 = -4*l, 2 - q = x*z - 5*l for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -35? (a) -7\/6 (b) -3\/4 (c) 12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*x**2 - 2*x**2 - 5*x + 4*x + (x**2 + 7*x**2 - 5*x**2)*(-6 + 3 + 0)*(1 - 1 + 1).\nAnswer: -8*x**2 - x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is i in -2*i**5 + 10*i**4 + 6*i**3 - 34*i**2 + 20*i = 0?\nAnswer: -2, 0, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 97 - 164. Let p = -66.97 - b. Let g(c) = -c**3 + 2*c**2 - 3*c + 3. Let q be g(2). What is the biggest value in 1, q, p?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9941 to the power of 1\/3, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h + 35103*b + 1969 = 35152*b, 4*h - 4*b + 153 + 19 = 0 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 138390 is divided by 2944?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 4*y = 2*x - 20, 25 = 5*y. Let r(i) = i + 3. What is r(x)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4987, 9992, 14993, 19990, 24983, 29972, 34957?\nAnswer: 39938","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.8436 and -1.15?\nAnswer: -0.97014","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -177724 - 27400 = -38*x. List the prime factors of x.\nAnswer: 2, 2699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of ((-21)\/(-15))\/(-7)*(-4414 - 1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z + 4*z - 140 = 0. Let s = z - 18. Let b = -8 + s. What is the highest common factor of b and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1187091496 greater than or equal to -1187091494?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -30? (a) 4 (b) -5 (c) -20 (d) -622\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 160 is divided by 21?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -105*l - 3*l**2 - 4 + 124*l + l**3 + l**2 + l**4 - 8 to the form b*l**4 + k*l**3 + o + g*l**2 + a*l and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-28 - (-52 - -13)) + 153 + -52.\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 684c (base 15) to base 6.\nAnswer: 250230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 5, 426, 3, 2 in descending order.\nAnswer: 426, 5, 3, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 2662000 to the nearest one hundred thousand.\nAnswer: 2700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4 and 870.\nAnswer: 1740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1854980682 a multiple of 1518?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/(-78)*((-72)\/6)\/(-6)?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1580 a factor of 44551260?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 2432510 rounded to the nearest 10000?\nAnswer: 2430000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 + 2 - 1)*(-2*p**2 + 4*p**2 - 4*p**2) - 2 + 2 - p**2 - 2*p**2 - 3*p**2 + 4*p**2)*(p - 4*p + p).\nAnswer: 8*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -51, -204, -459, -816?\n\"Answer: -51*j**2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-11015)\/(-19827))\/((-5)\/4*(-18 - (-4)\/1))?\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/(-28))\/(69\/(-920)) - 4\/12?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1 + (-132)\/(-33) - (2 + -5992) is divided by 125.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the second derivative of 2*n + 0 - 1\/6*n**3 - 5\/2*n**2. What is the smallest common multiple of 8 and v(-7)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8 + 12 - 15 - -11\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.02933+-3.2\nAnswer: -3.17067","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0 (b) 35\/17 (c) 0.79\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0814145842 + -121?\nAnswer: -121.0814145842","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 92706, 370807, 834308, 1483209?\n\"Answer: 92700*d**2 + d + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j + j - 3 = 0. Suppose j*v + 2*v = -25. Let x(y) = -y + 1. Give x(v).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (21 - 19)*4\/2. Which is the nearest to 1\/3? (a) -0.2 (b) y (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -3*s**2 - 31*s - 4. Let c(l) = -2*l**2 - 15*l - 2. Let j(x) = -5*c(x) + 2*u(x). Let y be (0 + -1)\/(1*10\/(-90)). Is j(y) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = 0, 10*x - 18 = -w + 5*x. Suppose 0 = -2*r + w - 0. Let s be (r\/2)\/((-27)\/(-36)). Is 7 less than s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1.14 - 57.14. Let j = b + 55.9999996. Round j to 5 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 7*p**2 - 2*p + 153. Let u(j) = -20*j**2 + 7*j - 457. Let g(v) = -17*l(v) - 6*u(v). Is g(-38) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -6*a**4\/7 - 23288*a**3\/7 + 1004378*a**2\/7 - 651468*a\/7 - 47088 = 0. What is a?\nAnswer: -3924, -1\/3, 1, 42","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 6*((-8)\/(-3))\/(-1). Which is the second smallest value? (a) -0.3 (b) v (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.02 - -0.48. Let c = -0.8 - 0.2. Let p be -2 + 0 - ((5 - -5) + -8). What is the second biggest value in p, c, u?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 286 - 183. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 13*n**5 - 4*n**4 + 91*n**3 - 4261*n**2 wrt n.\nAnswer: 780*n**2 - 96*n + 546","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -v**3 - 176*v**2 - 528*v - 1551. What is q(-173)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000135868 rounded to five dps?\nAnswer: 0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 6496738 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -228 divided by 3\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 70 divide 826813?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/(-14) + 84608\/328517.\nAnswer: -2\/71","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -14*f - 3. Let h(m) = m**3 + 17*m**2 + 72*m + 25. Let p be h(-10). Let a(g) = -29*g - 5. Determine p*k(r) - 3*a(r).\nAnswer: 17*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = 4*p - 120. Suppose 2*t - 3*t = p. Let f be 3\/(-2)*t\/12. Calculate the greatest common factor of 10 and f.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -3 (b) 0.4 (c) -5 (d) 30.59 (e) -29\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2226500 a multiple of 122?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -37045, -33865, -28557, -21115, -11533, 195, 14075, 30113?\n\"Answer: j**3 + 1058*j**2 - j - 38103","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.079 times 0.4?\nAnswer: -1.2316","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7895 = 735*a - 13038 - 2587 for a.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 8*z + 10 = 0. Let v be (5 - 1)\/(-2)*z. Which is the biggest value? (a) -2\/3 (b) 1\/6 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 42*l - 5. Let o(f) = -3*f. What is n(o(y))?\nAnswer: -126*y - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -m**2 - 9*m + 7. Give z(0).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-12)\/(-16) + 5 + (-6)\/8. Suppose m*a + s = 55, -5*a - 7*s = -2*s - 55. Suppose -a*q + 65000000 = -6*q. Round q to the nearest 1000000.\nAnswer: 13000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -s + 30. Let h = 88 - s. Is 8 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the third derivative of p**5\/60 - p**4\/24 + p**3\/2 + 2*p**2. Calculate the remainder when 7 is divided by b(0).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) be the first derivative of 0*b**2 + 0*b - 1\/3*b**3 + 4. Determine a(-3).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 20 + 9\/6*2. Let u = -13 + t. Suppose 2*w - h = w + u, -5*w - 3*h = -10. Calculate the remainder when 9 is divided by w.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*d + 32 = 29*d + 4*y, -2*d + 19 = 5*y. Let b(z) be the first derivative of d + 11*z - 1\/2*z**2. Give b(6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - n = -6*n + 21, h - 4*n = 17. Suppose -13 + 3*t**2 + h = 0. What is t?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1541 at most as big as 1554?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2 + 5*(-4)\/(-10). Suppose 74 = s*x - 58. What is the units digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**2\/7 + 31776*o\/7 + 63548\/7.\nAnswer: (o + 2)*(o + 31774)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 18\/5 of a micrometer?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-2)\/5)\/((-8)\/20). Let r be x + 0 + -2 + 3 - -28. Suppose -c - 4*c + 60 = 0. What is the highest common divisor of c and r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1386 is divided by 19.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = j, 0*o - j = 4*o - 1963. What is the common denominator of 70\/129 and (o\/(-189))\/(-14)*4?\nAnswer: 1161","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 322675 and 25.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*y**4 - 9*y**4 - 398 + 398 - 18*y**3 + 8*y + 24*y**2 + y**4.\nAnswer: -2*y*(y - 1)*(y + 2)*(7*y + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -879*u + 887*u - 392. Calculate the remainder when 976 is divided by u.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 5*b + 11 = -2, 0 = 4*u + 4*b - 68. Let t(z) = -z - 5*z**2 - u*z**2 + 0*z. Suppose 4*f - 16*m - 124 = 0, 5*m = 2*f + m - 30. What is t(f)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 78 and 39234.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -162 - 7.\nAnswer: -169","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nlo when three letters picked without replacement from {a: 2, f: 1, o: 1, l: 1, n: 2}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/5 (b) -4 (c) 0.01 (d) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4342 + 12536 - 5992)*(-9*f**2 - f**2 + 4*f**2).\nAnswer: -13212*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -17 + 29. Let b be ((-50)\/6 - -5)*6\/(-5). Solve -b*a = -a - w for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1.888 - -1.988. Let z = 4 - 8. Which is the biggest value? (a) z (b) 5 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 106 + -56. Does 36 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4 + -2. Suppose 2424 = c*q + 112. Let i = -9277\/8 + q. Find the common denominator of i and 85\/16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 11 + -11. Which is greater: w or -1.4?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 12131?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1048 + 2052. Does 43 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -245*u**3 + 603785*u**2 + 345080*u + 49300.\nAnswer: -5*(u - 2465)*(7*u + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 5*y**2 - 5*y + 1. Let w = -4 - -1. Suppose 2*g - 16 = -6. Let d(q) = -q**2 + q - 1 + 6 - g. Determine w*d(k) - v(k).\nAnswer: -2*k**2 + 2*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -31*c**2 + 375*c - 1152. Let u(t) = -35*t**2 + 375*t - 1150. Let n(x) = -10*q(x) + 9*u(x). Let n(i) = 0. Calculate i.\nAnswer: -78, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.04 in 2\/15, -4, 21, 33, -2?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -2889*o. Let p(z) = -z**2. Determine p(f(b)).\nAnswer: -8346321*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 16.1 - 17. Let h = 4.9 + j. Let w = -3 - -3.4. Sort h, w, 1\/6.\nAnswer: 1\/6, w, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = d**2 + 4*d - 3 - 1 - 4 + 1. Let t be ((-18)\/8)\/((-6)\/(-16)). What is the remainder when 13 is divided by n(t)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 46880?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -4 (b) 2 (c) -18\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = h**2 - 8*h + 67. Let c be t(8). Suppose -3*z + c = 4*a, 2*a - 6*z - 53 = -z. Is a a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h + 5 = -11 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 2 - 1 = 0. Is 3 a factor of 10\/m*(-9)\/15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10124 + 421412?\nAnswer: 432041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -2*k - 21. Let o be f(8). Let y = o - -49. Solve 16 = -4*b - 4*q, 3*q - 6*q - y = 0 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -152, -935, -2262, -4157, -6644, -9747, -13490?\nAnswer: -17897","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r**2 + r - 1. Let j(h) = -51*h**2 - 6*h + 5. Let d(g) = -5*a(g) - j(g). Suppose 0 = 2*f - 5*l + 17, -9 = -4*f - 3*l - 4. Is 14 a factor of d(f)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/(-9)*2\/(-1). Let p be (462\/(-70) - -7)*(-5)\/(-2). Is p at least as big as f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 162\/(-729) - 68098\/711?\nAnswer: -96","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*a - 22 - 12 - 12 + 71 - 16.\nAnswer: -3*a + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (96569\/11)\/(3\/27). Suppose 103*o = 94*o + d. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 56*r - 162. Calculate o(3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that -9747*j**4 + 11589867*j**3 - 2872513416*j**2 + 201537084*j - 3535488 = 0.\nAnswer: 2\/57, 352, 837","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 69*f - 186 = 63*f. Suppose -2 = 11*r + f. Let j = -0.2 - -0.1. Which is the third biggest value? (a) j (b) 20 (c) r (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(u\/(u\/u**(-17)*u)))\/(u\/(u\/((u**(-1\/4)\/u*u)\/u)))*u**(20\/9)\/u*u\/u**(-6\/19)*u*u*u*u*u assuming u is positive.\nAnswer: u**(19007\/684)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 12 - 22. Let u = d - -32. Suppose 0*i + i - 4*l + 1 = 0, -3*l = -5*i - u. Sort -4\/7, i, 1\/2.\nAnswer: i, -4\/7, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4.1421808 + -1.\nAnswer: -5.1421808","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*g + 20*c - 21*c + 509, 0 = 3*g + 3*c - 513. Suppose -g = -22*j + 51. Solve f = 5*n - 27, -4*f - 4*n + j = f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3110 - -10032311012?\nAnswer: 10032320122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 253 and 1150.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6713 and 1644?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xxmokoxmmooxo. Give prob of picking 4 x.\nAnswer: 1\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -21 - -102102021?\nAnswer: 102102000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*u + 3*i + 3, -3*i + 3 = -5*u - 6*i. Let b = 36 - 22. Suppose u = d + d - b. Calculate the remainder when 12 is divided by d.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 3*r - 85 = 0, 5*r = -2*i + 53 - 0. Suppose 0 = i*o - 16*o + 352. What is the remainder when o is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2174302780?\nAnswer: 2, 5, 13, 37, 79, 2861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t**4 + 10304*t**3 - 103568*t**2 - 329472*t + 3972096 = 0 for t.\nAnswer: -2586, -6, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -15086, -30194, -45302, -60410, -75518?\nAnswer: -90626","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -24.3 less than 1\/3691?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -16 + 15. Let d(q) = q**3 + 11*q**2 + 4*q - 1. Let b be d(-6). Does 7 divide f\/2 + b\/10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 293527 and 1943.\nAnswer: 8512283","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 446.3038um to centimeters.\nAnswer: 0.04463038","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let s = -535 - -535.00012665. What is s rounded to six decimal places?\nAnswer: 0.000127","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -148*w**3 - 8*w**2 + 9*w**2 + 752*w**3 + 3*w - 5 - 347*w**3 to n + k*w + s*w**3 + y*w**2 and give n.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 380 or 56\/117?\nAnswer: 56\/117","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10\/(-15))\/(1\/(-6))*(-13)\/1118?\nAnswer: -2\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 3*m**3 + m**2 - 8*m + 2384. What is the units digit of g(0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -9\/2 (b) -3\/5 (c) 94.362\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 100 by -1.\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -219 + 229. Let r = 2 - -2. Let b = r + c. What is the units digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 275 less than -0.066?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 54 = -3*w + 2*s, -5*s = -5*w + 75. Solve r + 12 = 3*c, -3*c = -w - 0 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 17 = 5*f - 12, 2*j = -4*f + 40. Let u(w) = -w**3 + 8*w**2 - 2*w - 12. Calculate u(f).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -3*g**2 - 2*g**2 - 3 - 3. Let c(z) = -z**2 - 5. Let w(q) = -2*q**2 - 11. Let j(r) = -9*c(r) + 4*w(r). Determine -d(s) - 4*j(s).\nAnswer: s**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 a when two letters picked without replacement from jjudlau.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by 262253\nAnswer: -2\/262253","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 20 + 28 = 0. Factor -7*j**2 + 128*j**3 - 120*j**3 - 2*j**4 - 2*j**i + 3*j**2.\nAnswer: -2*j**2*(j - 3)*(j - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 49 - 49. Which is the closest to r? (a) -3\/4 (b) -5 (c) -0.04\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -279545, -1118041, -2515539, -4472039, -6987541?\n\"Answer: -279501*c**2 + 7*c - 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z - 3*s - 138 = -133, 0 = 3*z - 4*s + 2 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*w = -38 - 42. Suppose -w*c + 12*c = 0. Suppose c = 5*p + 4*f + 42, -3*p + f + 4*f - 40 = 0. Which is bigger: 0.2 or p?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9040*l**2 + 977*l**2 - 14920*l**2.\nAnswer: -22983*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -c**6 - 2*c**2 - c**2 - 3*c**2 + 0*c**2 wrt c?\nAnswer: -120*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 22 divided by 15\nAnswer: 22\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4 (b) -5 (c) 0.2 (d) 2\/99 (e) 3.8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + 3*((sqrt(1900) - (sqrt(1900) + 1)) + sqrt(1900)) + (4 + 1 + sqrt(1900))*-2)**2*1.\nAnswer: -340*sqrt(19) + 2189","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d\/(d**15*d)*d*d**(1\/4)*d\/d**(-1\/12)*d\/(d\/(d**(-1\/7)*d*d)) assuming d is positive.\nAnswer: d**(-227\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*b**2 - 3 + 3)*(2*b + b - b) - b**3 - 2*b + 2*b.\nAnswer: -5*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -2*c**2 + 23*c + 19. Let r be ((-32)\/14)\/(52\/(-273)). Calculate h(r).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 40*m - 65*m - 3 + 6*m + m**4 - 45*m**2 + 7*m as h*m**3 + p*m**4 + t*m**2 + o*m + n and give n.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2.5 + 2. Let i = 0.13 - 13.13. Let o = 9 + i. What is the third smallest value in o, x, -2?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 4\/(-16) - 57\/108 and 2*12\/(-4)*17\/141.\nAnswer: 423","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*o + 12766 = 43*o + 575. Let n = 26 - 5. What is the remainder when o is divided by n?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38 = 9*c - 232. What is the remainder when 52 is divided by c?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a millennium in years?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 32396343*m**3*x**2*z**2 - 27*m**2*x**2 - 9004*m**2 + 5*m*z**2 - 3*x**2*z**2 wrt m.\nAnswer: 194378058*x**2*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 5\/((2\/3)\/((-12)\/(-18))). Solve -o*l - 19 = 1 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 21*k - 278. What is v(-18)?\nAnswer: -656","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 53516 (b) 4 (c) 3 (d) -0.001 (e) 4\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -5*u**3 + 41*u**2 - 14*u + 55. Let d be x(8). Solve -d*r = 56*r - 378 for r.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -33*p + 42*p - 234. Solve 28*o - p*o + x = 4, -8 = 4*x for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1352?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0065581 to 4 decimal places.\nAnswer: 0.0066","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 8, l: 2, x: 2, m: 2, n: 2}. Give prob of sequence nnx.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.1 - -0.06. Let g = p - -0.24. Let k = 4.1876 + -5.1876. Put g, 1, k, 2\/5 in decreasing order.\nAnswer: 1, 2\/5, g, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 8 in -6, -4, 4380?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 200*i - 181*i = -133 for i.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 3 + 0)*(-54 + 535*l + 54 + 1910*l) in the form n + i*l and give i.\nAnswer: -2445","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 5*l - 21 = -0*d, 3*d - 28 = -5*l. Suppose -d = 2*m - 3*m. Let u(j) = 0*j + 0*j + j - m. Calculate u(0).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 6\/1*(2 + (-24)\/9). Let s(g) = 2*g**2 + 6*g + 4. Let q be s(y). Solve 0 = -3*l - 4*k + 24, 5*l + k - q = 11 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4\/11? (a) 5.596 (b) -141 (c) 1\/3 (d) -2\/19\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1007 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1 - 1 - 0)\/7. Let y = 8 - 8.03. Let k = -3.97 + y. What is the third biggest value in k, o, 2?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 29 = 5*t - 6*t, -2*f = -5*t + 93. Is 35\/2 <= t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1053790 and 20.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*j = 24*j - 38*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 226600 a multiple of 275?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -146*x**3 + 5*x**2 - 4*x + 3. Let g be f(5). Let r = g - -12100716\/667. Is r at least as big as -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -50 - -44. Let p be 80\/(-44)*(-9)\/q. Let y = p - -221\/77. Which is bigger: y or 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 1. Let c(z) = z - 7. Let p = 14 + -16. Let a be (2\/6)\/(p\/6). What is a*c(f) - 6*l(f)?\nAnswer: -f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1226?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -i - 1. Let t(g) = -2*g**2 - 4*g - 4. What is -4*f(k) + t(k)?\nAnswer: -2*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -291*w + 278*w = -65 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 2.53 from -302559.\nAnswer: -302561.53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:41 PM and 11:35 PM?\nAnswer: 354","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 41*j**3 + 2*j + 21*j**3 + 62*j**2 - 64*j**3 in the form h + r*j + s*j**2 + u*j**3 and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/(-126) + 5376\/(-497448).\nAnswer: -2\/47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 346 >= 4480\/13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.56 - 0.56. What is the second biggest value in z, -0.1, 0.2?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1354691, -5418770, -12192235, -21675086?\nAnswer: -33867323","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*s - x - 1274 - 1905, 5*x = 4*s - 3175. Does 15 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12553 is divided by 932?\nAnswer: 437","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (-5*(sqrt(539) + -3))**2 - (sqrt(539) - (sqrt(539) + 3 + -3 + sqrt(539) - sqrt(539)))**2*-3)*-2.\nAnswer: -27402 + 2100*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 514 minutes after 5:33 AM?\nAnswer: 2:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 18*14\/189 + (-13)\/3. Sort -8, 0, -2, m in decreasing order.\nAnswer: 0, -2, m, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -27 - -30. Solve 0 = -3*z + 9 + t for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12)\/48*(-8)\/6.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 2*u = -6, 0*u - 3 = -p - 2*u. Let c(d) = -d**3 + d**2 - d + 5. Let z be c(0). Suppose 0 = 3*h - 51 - 6. Solve h = z*j - p for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 32658?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -321 + 52*v + 126 - 115*v + 57*v to the form b*v + g and give g.\nAnswer: -195","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g**(2\/3))**(-11)\/((g**6*g)\/g**(-15)) assuming g is positive.\nAnswer: g**(-121\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 59071887893 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w = 2*p + 25, 4*p - 45 = 8*p + w for p.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 289 + -281. Suppose -k*f - 14 = -1166. What is the highest common divisor of 36 and f?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -0.51, 0.54, -7?\nAnswer: -0.51","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 74722 is divided by 78?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 16\/1083 and 2\/(-57)*(-4 - 912\/32).\nAnswer: 1083","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + n - 4 = 0, 2*n = b - 0*n - 1. Suppose -3*i + 8*j = 6*j + 4, 3*i - 11 = -j. Is (-67)\/((-5 + i)\/b) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 14669124?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -25 in 308, -5, 249?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 26 and 4?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -2\/19 (b) 2 (c) -10986\/7 (d) -18\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*s**5 + 60*s**4 - 235*s**3 - 90*s**2 + 860*s - 600 = 0. Calculate s.\nAnswer: -15, -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -c**2 + 24*c - 85. Calculate s(20).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) be the first derivative of -z**3\/3 + 5*z**2 - 24. Let r be j(10). Sort -5, 5, r, 2 in ascending order.\nAnswer: -5, r, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 120631*c**2 - 580 wrt c.\nAnswer: 241262*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000017384285 to 6 dps.\nAnswer: -0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 2*x. Let d be i(1). Suppose -2*n - 2*n = d*v, -5*v + 2*n + 12 = 0. What is the first derivative of o**2 - 3*o**v - 6 + 4 wrt o?\nAnswer: -4*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000000777 rounded to six decimal places?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -123 - -123. Solve -d - 5*t + 10 + 5 = u, 3*d - 2*t = -23 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -3338, -3337, -3336, -3335, -3334?\n\"Answer: p - 3339","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6? (a) 0.13 (b) -329 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -63 + 40. Let n = z + 24.4. Let i = n + -1.7. Which is smaller: i or -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 248764421 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1\/125 - -121\/500. What is the nearest to -2\/9 in 2\/11, q, -2?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n**4\/3 + 8486*n**3 - 14771810*n**2\/3 + 4915450*n = 0. What is n?\nAnswer: -13285, 0, 1, 555","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00051739 rounded to 5 decimal places?\nAnswer: -0.00052","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Do -125 and -28705\/229 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 90 and 16652700?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = n + 3*n + g, 5*g = -5*n + 10. Suppose -n*j - 5 + 1 = 0, -3*v = -2*j - 472. What is the remainder when v is divided by 20?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/8)\/(1728\/(-256)*4\/(-18)).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 12983 to the power of 1\/2, to the nearest integer?\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1378, -3467, -6860, -11557, -17558, -24863, -33472?\nAnswer: -43385","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -371 divided by 6?\nAnswer: -371\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 2*t = 3*t + 19, 125 = 5*c + 5*t. Calculate the remainder when c is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 y when two letters picked without replacement from rryyreryeery.\nAnswer: 10\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = -44 + 10. Suppose 25*b - 1782 = 7*b. Suppose 7*c - 111 = b. What is the remainder when c is divided by x?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 10 and 410.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -p**2 + 6*p + 17. Suppose -61*k + 32 = -57*k. Determine y(k).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5689866 divided by 8582\nAnswer: 663","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 483876 and 36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 6\/(-2) - (91539\/1568)\/9. Let n be ((-9)\/280)\/((-36)\/15). Let c = i - n. Which is smaller: -10 or c?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1676011.\nAnswer: 43, 38977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -119.3 + 9.3. Let v = -114 - p. Which is the third biggest value? (a) -0.22 (b) -3 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*s + 2 = -b + 4*s - s, 0 = -2*b - 2*s - 36 for b.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -133696 (b) 2\/9 (c) 549\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 1\/10 of a century?\nAnswer: 1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that 2*b**5 - 367*b**4\/2 + 3166*b**3 + 47723*b**2 + 141780*b + 65025\/2 = 0.\nAnswer: -5, -1\/4, 51","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -510*x**2 + 244*x**2 + 294*x**2.\nAnswer: 28*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -44089, -44350, -44611, -44872?\nAnswer: -45133","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 35*p**3*v**2 - 2*p**3*v + 2*p**2*v**2 - 303*p*v**2 + 1 wrt p?\nAnswer: 210*p*v**2 - 12*p*v + 4*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 261*c + 111 = 264*c. Let n = 54 - c. Calculate the greatest common divisor of n and 493.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 33041, 66339, 99637, 132935, 166233, 199531?\n\"Answer: 33298*l - 257","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1.4 - 6.6. Let r = d - -9. Let g be 1 + (-7)\/(-5) + -2. Which is the nearest to g? (a) -1 (b) r (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/7, 0.1, 5, 1\/2, 13, -1, -1\/4.\nAnswer: -1, -1\/4, 0.1, 1\/7, 1\/2, 5, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 11 and 1199?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -287*u**3 - 21*u**2 + 23991 wrt u.\nAnswer: -861*u**2 - 42*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 195 + -193. Let n be ((-3)\/5)\/(3\/(-2)). What is the closest to -2\/3 in n, q, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 107723 and 11192?\nAnswer: 861784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 20057 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 6\/(-15) - 284\/(-10). Let x be 5\/(15\/6)*w. Calculate the greatest common divisor of 14 and x.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -594 = 2*a - j - j, -3*j - 301 = a. Let o = 304 + a. Solve -o = 9*l - 6*l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15876000 rounded to the nearest one hundred thousand?\nAnswer: -15900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4521 + 18083\/4. Let q = 0 - 1. What is the second biggest value in -5, q, -10, f?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -k**3 - 30*k**2 - 30*k - 24. Let o be h(-29). Suppose o*r - 5*p - 925 = 0, -2*p - 940 = -r - 4*r. What is the remainder when r is divided by 32?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 31*t + 3 - 12*t**2 - 55*t + 26*t in the form n*t**2 + r + v*t and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/8 (b) 2 (c) 1 (d) 865380.47\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2502 and 21962?\nAnswer: 278","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*r + 49*r - 18*r + r - 35*r.\nAnswer: -24*r","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 195651132.\nAnswer: 2, 3, 19, 317, 2707","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/((c*c\/(c*(c\/c**(1\/2)*c)\/c)*c)\/c))**(-15\/8)\/(c\/(c*c\/c**(3\/8))*c*c**(-1\/3)) assuming c is positive.\nAnswer: c**(-47\/48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 + (-7)\/2)*(1 + -1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -29, -36, -41, -44, -45, -44?\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -79*b = -90*b + 139700. What is b rounded to the nearest ten thousand?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2913 = -11*a - 2297. Calculate the highest common divisor of 4984 and a.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4602686 or 4602689?\nAnswer: 4602686","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 34296 + -23279. List the prime factors of r.\nAnswer: 23, 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 150 and 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = j**2 + 6*j - 4. Let z be h(-7). Factor 6\/5*s**2 + 3\/5*s**z + 3\/5*s + 0.\nAnswer: 3*s*(s + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 44581 is divided by 241.\nAnswer: 237","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 9) in base 7?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 t and 1 q when four letters picked without replacement from qttqqqtq.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -7*n**2 - 4*n + 12. Let q(f) = -10*f**2 - 6*f + 18. Calculate 7*m(c) - 5*q(c).\nAnswer: c**2 + 2*c - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.48 and 24?\nAnswer: 23.52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 18 + -10. Let b(c) = 3*c**2 - 4*c - 88. Let v be b(6). Let o be j\/v*(-1 + -1). Solve -3 = 5*i + 5*y + 7, -i + 13 = -o*y for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 5, i: 11}. What is prob of sequence vii?\nAnswer: 55\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 374698.7t in grams?\nAnswer: 374698700000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 11, d: 2}. Give prob of sequence ed.\nAnswer: 11\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 14375122?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -169520 divided by 3260.\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7700 is divided by 7428.\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) be the first derivative of 3\/2*f**2 + 2 + f. Let h(s) = -19*s - 6. Let g(z) = 6*z + 2. Let a(i) = -7*g(i) - 2*h(i). What is -4*a(t) - 5*b(t)?\nAnswer: t + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 5525831 to the power of 1\/5, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2.79 + -2.749. What is o rounded to 2 decimal places?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = 2*k - 10, -5*k + 5 = -j - 6. Let v be (-2244461)\/(-44)*j\/11886. Let a = -2\/21791 - v. Calculate the common denominator of 109\/30 and a.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 295*b**3 + 2*b**2 + b + 1. Is v(2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -j**2 - 3*j. Let p(v) = 26*v**2 + 23*v + 1. Calculate -p(s) - 4*u(s).\nAnswer: -22*s**2 - 11*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -180*i**5\/7 - 99768*i**4\/7 + 73336*i**3\/7 + 42160*i**2\/7 - 11108*i\/7 - 4440\/7 = 0. Calculate i.\nAnswer: -555, -1\/3, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -731*w**3 + 2*w**2 - 7*w - 8. Let v be 12 + -18 + (9\/3 - -2). What is the units digit of l(v)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*s**2 - 4*s**2 - 2*s**2)*(-3 - 2 + 4) + 2*s**2 + 2*s**2 + 0*s**2 + 2*s - 2*s - 3*s**2.\nAnswer: 5*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 10*j + 141. What is f(-19)?\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 23.6 + -54.9. Let o = -31 - i. What is the third smallest value in -2, o, 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 174693?\nAnswer: 3, 58231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 524?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1532, 4566, 9618, 16682, 25752?\nAnswer: 36822","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) be the second derivative of 2*z**6\/15 + 4*z**5\/5 + z**4 - 8*z**3\/3 - 8*z**2 + 2*z. Factor o(b).\nAnswer: 4*(b - 1)*(b + 1)*(b + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 44, -5, -1, 1, -2\/9 in ascending order.\nAnswer: -5, -1, -2\/9, 1, 44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 7\/(5 - (-8)\/(-2)). Suppose 4*n - c = -3*f, 0*n - 5*n + 10 = 5*f. Solve 4*z - 3*z - n = 0 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t + 6 = -0*k + 3*k, -2*t + 543*k = 547*k - 34 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -i**3 - 5*i**2 + i + 7. Let l be k(-5). Let g be (8\/3)\/((-4)\/(-30)). Suppose -l*j + g = 2. Calculate the highest common factor of 9 and j.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 24786, 24783, 24780, 24777?\nAnswer: 24774","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, -4, -1 in ascending order.\nAnswer: -4, -1, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -193\/5 - -38. Let n = -17 - -10. Let l = 4 + n. Put l, g, 4 in increasing order.\nAnswer: l, g, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -9*c**2*d**3 - 4*c*d**3 - 174*c + 4*d**3 - 36395*d**2 wrt c.\nAnswer: -18*c*d**3 - 4*d**3 - 174","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 11, 64, 1, 1683 in ascending order.\nAnswer: 1, 3, 11, 64, 1683","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(24)\/sqrt(18) - sqrt(12) - sqrt(12) - sqrt(12))\/sqrt(4).\nAnswer: -8*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Do 16 and -1648.14 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5.8 - 82.8. Let o = 77.5 + b. Let v = -3\/19 + 91\/95. Which is smaller: v or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1662\/17, 1\/3, -1\/8, 3, -2\/53 in increasing order.\nAnswer: -1\/8, -2\/53, 1\/3, 3, 1662\/17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 219\/14 (b) 0.2 (c) 2693\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*p + 5*p + 3*p + (2*p + 0*p - 3*p)*(2 + 1 - 1) - 167 + 346 + 10*p - 171.\nAnswer: 12*p + 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*s**3 - 335*s**2 + 1744 wrt s.\nAnswer: -6*s**2 - 670*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 54 + 12. What is the tens digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x\/x**(-2\/5))**(-2)*((x\/(x*x*x**(-5\/6))*x)\/x)\/(x\/(x*x\/x**(-4\/3))) assuming x is positive.\nAnswer: x**(-79\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 60352371*f - 60352425*f - 594 for f.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -453 in -0.01, 32, 0.3?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 18 and 6?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (y + 8 - 2*y - 6)*(-y + 5*y - 5*y)*(1 + 3 - 3).\nAnswer: y**2 - 2*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -y**2 + 1. Let w(z) be the first derivative of z**4\/6 - z**3\/6 - 2*z**2 - 8*z - 52. Let m(l) be the first derivative of w(l). What is -m(f) - 5*t(f)?\nAnswer: 3*f**2 + f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-237)\/(-15) - (-5 + 456\/120). Which is greater: d or 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3400982 to the power of 1\/3, to the nearest integer?\nAnswer: 150","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*f**2 - 78*f - 146 wrt f.\nAnswer: 4*f - 78","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o*o**(-1\/4)*o))\/o*o\/(o\/(o**(-2)*o))*(o*o**(-8))\/((o*o*o**(3\/2)*o*o*o)\/o) assuming o is positive.\nAnswer: o**(-61\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 125, 204, 285, 368, 453, 540, 629?\nAnswer: 720","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:18 PM and 10:59 PM?\nAnswer: 401","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 16 + -12. What is the closest to 0 in 1\/7, d, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11 + (31 + -47 - -67) + -12.\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 0 (b) 6 (c) 0.11 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((6\/(-45))\/((-1)\/(-1)))\/(190816\/(-35778)).\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = r**2 - 4*r. Suppose 4*h = h + 21. Let q be o(h). Suppose -2*z + q = 3*k + z, -4*z = 0. List the prime factors of k.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(114)\/sqrt(3))\/sqrt(2) - (sqrt(1216) + -1 + sqrt(1216) - sqrt(1216) - sqrt(1216)) - (2*sqrt(190))\/sqrt(10)*-6)**2 + 3.\nAnswer: 26*sqrt(19) + 3215","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*z - 4 + 4)*(298*z + 17*z - 95*z) - z - 3*z**2 + z.\nAnswer: 437*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(-2*(sqrt(1573) + -2) + 2) - (1 + sqrt(1573) + 2 + -1 + sqrt(1573)*-2 + -5))**2.\nAnswer: -4158*sqrt(13) + 127854","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -2 + 1*(-3 - 3). Let b = -10 - z. Is (-12 + 1)\/(b\/14) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2, -2\/51, 0.5, 4, 0.479?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/j**6*(j**(5\/4)\/j)\/j*j*j**(2\/3)*j\/(j\/(j*j**(1\/7))))\/((j**(-2\/3)\/j**(-1\/6))\/(j\/(j\/(j**0\/j))*j)**(-4)) assuming j is positive.\nAnswer: j**(-205\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -10 - -23. Suppose -2*j - l = 3*a - 4*j, a - 4*j + 11 = 0. Is 3 a factor of 33*(-3 + 0 - -1 - a)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -6? (a) -4 (b) 922 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a micrometer in nanometers?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/13, 6, 1\/4, -0.2 in decreasing order.\nAnswer: 6, 1\/4, 2\/13, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 16\/(-6)*(-15)\/10. Suppose -l + 12 = -k*l, -4*z - 3*l = -32. Calculate the remainder when ((-8)\/(-4))\/(-2*3\/(-60)) is divided by z.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -25 + 25.4. Let g = -3 - 0. Sort g, 5, f in increasing order.\nAnswer: g, f, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) -4 (b) 1 (c) -11\/67 (d) 0.3 (e) -170\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-5)\/((-50)\/16))\/((-2)\/(-5)). Let c(f) = 5*f**2 - 12*f + 11. Let g(w) = 5*w**2 - 11*w + 11. Let o(x) = k*g(x) - 3*c(x). Is o(2) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.034 - 345288.\nAnswer: -345288.034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.072 - -0.07200051. What is p rounded to 7 decimal places?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*x - 13*x + 142460 = 7*x. List the prime factors of x.\nAnswer: 2, 17, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*w**2 + 37*w**2 - 18*w**2.\nAnswer: -4*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 666288.\nAnswer: 2, 3, 7, 661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q, 1 f, and 1 y when three letters picked without replacement from {m: 2, y: 6, p: 2, q: 1, f: 4}?\nAnswer: 24\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 86169.\nAnswer: 3, 28723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 366\/10 - 30\/(-75). Let d = m + -26. Calculate the remainder when 21 is divided by d.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*-1*sqrt(136)*-4)\/(4*sqrt(88)\/sqrt(99)).\nAnswer: 9*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -u**3 + 2*u**2 + 10*u - 6. Let w be l(4). Suppose w*q - 5*i + 61 + 37 = 0, 0 = 3*i. Which is bigger: -51 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -199 times 0.62871?\nAnswer: -125.11329","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -20 + 21. What is the nearest to m in -4, -5, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 15005346 + 66?\nAnswer: 15005445","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:03 PM and 12:53 AM?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 453*c + 510*c - 1 + 502*c + 502*c - 1957*c.\nAnswer: 10*c - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -r**2 - 27*r + 9. Let i be z(-26). What is the highest common divisor of 5 and i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 101\/4 - 599\/28. Let o = 445\/119 - n. Let y = 4\/817 - 2479\/5719. What is the second smallest value in o, y, 0.6?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that 2*g**3 - 84*g**2 + 160*g = 0.\nAnswer: 0, 2, 40","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.02, -2\/3, -4.3, -4, -1\/6, 3\/2?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (69\/81)\/(14\/(-21)) and -37\/12.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 12012, -5, -11, 3 in increasing order.\nAnswer: -11, -5, 3, 5, 12012","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(1\/4))**(1\/5)*o**1\/o**(-2) assuming o is positive.\nAnswer: o**(61\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -885 - -1413. Is q > 528?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q**3\/4 + q = 0.\nAnswer: -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = -4*d + 8, 3*j - 10934 = d. Let f = j + -65701\/18. What is the common denominator of f and -59\/3?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y - 3 - 5 = 3*u, u = -3*y + 19 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) be the third derivative of 0*m**3 - 23\/72*m**4 - 51*m**2 + 0*m + 1\/180*m**5 + 0. Suppose j(q) = 0. What is q?\nAnswer: 0, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -x**3*z**3 + 1506*x**3*z**2 + 4*x**2*z**3 + 2*x**2*z + 43*x*z**3 wrt x?\nAnswer: -6*z**3 + 9036*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -3*a - 1. Let r(x) = -7*x - 2. Let p(h) = h + 4. Let b be p(0). Let k(y) = b*r(y) - 9*w(y). Differentiate k(q) wrt q.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-7\/8)\/((h\/h**39)\/h*h))**(-25) assuming h is positive.\nAnswer: h**(-7425\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.159739 + 7.826639. Let m = i + 0.0331. Which is bigger: m or -0.2?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -272, -1073, -2404, -4265?\nAnswer: -6656","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -18*p**3 + 240*p**2 - 7*p + 18 wrt p?\nAnswer: -108*p + 480","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1\/(-3)*(21 + -342). Suppose -a = -9*h + 604. What are the prime factors of h?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*i + 23*i - 16 = 0. Let g be (-8)\/i + (5 - 6)*4. Let y(v) = -5*v + 84. List the prime factors of y(g).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 63275 + -14715. Round a to the nearest ten thousand.\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -4*a + 14. Let g be t(3). Let -10\/3*s**3 + 0 - 4\/3*s + 14\/3*s**g = 0. What is s?\nAnswer: 0, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41831 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 180089 to the power of 1\/4, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 456 minutes before 10:16 AM?\nAnswer: 2:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the first derivative of -n**4\/2 - 352*n**3\/3 - 1949*n**2\/2 - 50. What is the second derivative of f(s) wrt s?\nAnswer: -12*s - 704","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-3\/4)*b)\/b**(-11))**(-11)*(b**(-1\/3))**34*b*(b\/(b\/(b**(-3)*b)))\/b*b**(-4) assuming b is positive.\nAnswer: b**(-1693\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1695*h - 54616 = 499*h + 8772 for h.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the first derivative of -m**4\/4 + 11*m**3\/3 - 5*m**2\/2 - 18*m - 81. Calculate the remainder when w(8) is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -178 (base 16) to base 14.\nAnswer: -1cc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 1, k: 1, n: 2}. What is prob of picking 1 k and 2 n?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*s - 77 + 30 = 2*g - 7*g + 33 - 13, 2*s + 32 = 4*g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -43\/6410 and -97\/6.\nAnswer: 19230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -7*s. Let j(t) = 2*t**2 + 6*t - 395. Give j(g(h)).\nAnswer: 98*h**2 - 42*h - 395","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 266, 531, 802, 1085, 1386, 1711, 2066, 2457?\n\"Answer: s**3 - 3*s**2 + 267*s + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1184 - -2279. Let y = r + -467. What are the prime factors of y?\nAnswer: 2, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -222.1 + 227.1. Let m = 500921\/24 + -939237019\/45000. Let r = m - -2\/625. What is the nearest to r in -0.05, d, 3?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3\/4 (b) -2\/23 (c) 3 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2287516937 to the nearest integer?\nAnswer: 1318","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -4 (b) -1\/819 (c) 5 (d) 10 (e) -3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/7*279566\/(-6306)\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 42121662 by -2.\nAnswer: -21060831","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (65*(-13)\/130)\/((-1)\/2).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 41 + (-1 - (6 + 6) - (29 - 38)).\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 234563?\nAnswer: 7, 4787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 741730 is divided by 14?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(8) + 0)*5.\nAnswer: 10*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 2457858501?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 1300*t**2 + 16*t + 89. Is x(7) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14158 is divided by 1282?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 27031371?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 * -3.678.\nAnswer: 0.3678","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34001429.\nAnswer: 7, 11, 23, 73, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Let -172*w**3\/9 - 730*w**2\/3 = 0. Calculate w.\nAnswer: -1095\/86, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = -2*m + 50. Let a(b) = -4*b**3 + 2*b - 1. Let h be a(1). What is the remainder when 1\/(-3) + (-55)\/h is divided by m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -65*f + 5 = -63*f + r, 0 = -4*f + r + 19 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 243 in 0.4, -2, -1\/4, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = -12*n - 33. Let j = n - -203. List the prime factors of j.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2180 (base 9) in base 11?\nAnswer: 1235","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 16396396 and 16?\nAnswer: 65585584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 355357.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -6*c**3 + 127*c**3 - 2*c**2 - 54*c**3 - 33*c**3 + c**3. Let b(f) = -f**3 + f**2. Determine 4*b(m) + g(m).\nAnswer: 31*m**3 + 2*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*((f**(-6\/7)*f)\/f)\/f)\/f*f*f\/(f*f\/(f*f**7\/f))*(f**(-2\/3)*f)\/f**(-1\/3) assuming f is positive.\nAnswer: f**(122\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by 43201333.\nAnswer: 5\/43201333","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n + 4*y = 12, y = -3*n + 2*y + 8 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-4))**(-17) assuming j is positive.\nAnswer: j**68","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -3\/7, -4, -2\/1745, 2\/9 in descending order.\nAnswer: 5, 2\/9, -2\/1745, -3\/7, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2 (b) 0.4 (c) 5 (d) -870\/19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 144 + -145. Which is the nearest to z? (a) 3\/2 (b) 2 (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 14 = -10. List the prime factors of x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*r + 9 = 9. Suppose z - 4 = -r. Factor -p + 14*p**2 + 25*p**z + 3*p**2 + 28*p**2 + 11*p + 60*p**3.\nAnswer: 5*p*(p + 1)**2*(5*p + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 627\/(-38)*(-6)\/27\nAnswer: 11\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the third derivative of x**8\/1176 - 2*x**7\/147 + 17*x**6\/420 - 4*x**5\/105 + 42*x**2. Suppose w(t) = 0. What is t?\nAnswer: 0, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -4, -2.9, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*a*m**3*v**3 + a*m**2*v - 532*a*m*v**3 - 2*a*m - 4*m**3*v**2 - m**3 - 3*m*v**2 wrt v.\nAnswer: 12*a*m**3 - 3192*a*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 7 + 5)*(-3*j - 5*j + 5*j) + (-4 - 2*j + 4)*(-1 - 5 + 4).\nAnswer: j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6217 is divided by 2069.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 2604413?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:10 AM and 12:01 PM?\nAnswer: 111","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1515357 is divided by 378817.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -31414420 + 25?\nAnswer: -31414351","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 37186296?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*g = -27*g - 80. Calculate the highest common factor of 4 and g.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 176*i - 181 + 116*i + 19*i wrt i.\nAnswer: 311","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (sqrt(11) + -4 - sqrt(11)) - (sqrt(44) + 2))**2 + ((sqrt(110)*2*3 + sqrt(110))\/(sqrt(110)\/(-2*sqrt(11) - sqrt(11))))**2.\nAnswer: 12*sqrt(11) + 4904","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 6243 + 5?\nAnswer: 6251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by 2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -99*b + 100*b + f = 9825, -f - 39315 = -4*b. Is b a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2087 - -2086.9003. Let i = 0.0597 + k. Put 2\/29, -0.2, i in decreasing order.\nAnswer: 2\/29, i, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the first derivative of f**5\/5 - f**3\/6 + f**2\/2 + 2*f + 2. Let i(j) be the first derivative of q(j). Is i(1) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t, 1 b, and 1 a when four letters picked without replacement from btaattabibaaiiabbb?\nAnswer: 3\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-56)\/26 + (-6)\/(-39) + 35. Let v = w - 34. Let x(m) = -m + 1. Let j(s) = 1. What is v*j(u) + 2*x(u)?\nAnswer: -2*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -72765.684139 - 9?\nAnswer: -72774.684139","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -971.29 take away 68331.6752?\nAnswer: -69302.9652","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 283.04 - 283. Which is the third smallest value? (a) 5 (b) 16 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24*y**2 + 136*y**3 + 68*y**3 - 8*y**2 + 32*y**2 - 229*y**3.\nAnswer: -25*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4567?\nAnswer: 4567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -2*t**3 - 2*t**2 - 2*t - 2. Let z(k) = 7*k**3 + 9*k**2 + 9*k + 9. Let p = 49 - 51. Give p*z(n) - 9*r(n).\nAnswer: 4*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1754307 is divided by 92?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7 - -11. Suppose -f + 4*f - 24 = p*y, 2*f - 4*y = 16. Let r = -162 + 171. Which is greater: r or f?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 2\/15, 4\/7, -4, -2711?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 313 + -309. What is the third biggest value in -28, 2\/3, r?\nAnswer: -28","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 13650 and 28275.\nAnswer: 395850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -102.4+616812.69256\nAnswer: 616710.29256","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 2 p when three letters picked without replacement from {o: 2, w: 3, j: 1, n: 3, v: 1, p: 3}.\nAnswer: 9\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2024703 (base 8) to base 2.\nAnswer: 10000010100111000011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 927488 and 832?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 18167.724s in hours?\nAnswer: 5.04659","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (sqrt(605) - (sqrt(605) - (sqrt(605) + sqrt(605)*-3 + 1))) + -3)**2.\nAnswer: 44*sqrt(5) + 2421","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1 - 0) + (1 - 2). Let y = o + 0. Let k = y - -2. Is k less than 2\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -207*v - 362*v - 99*v + 108 = -15256 for v.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -92727, -185490, -278251, -371010, -463767, -556522, -649275?\nAnswer: -742026","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 14291 divided by -60?\nAnswer: -14291\/60","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Let z = -13 + 19. Suppose -2*a + z*a = 76. Suppose 5*n = -3*l + a - 6, 2*n = -3*l + 7. Put n, -2, 1 in decreasing order.\nAnswer: n, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 97733?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 35 and 560?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -191 = -79*m + 1121 - 2418 for m.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 874947837?\nAnswer: 3, 291649279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1374 is divided by 454?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 2628*m - 15209. What is z(6)?\nAnswer: 559","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0\/(2 - -1 - 1). Let i = 1\/25 + 21\/100. What is the nearest to q in 1, i, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*r - 756 = 10*r + 119, -6*w + 0*r + 9 = 4*r + 149 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 14136 to the nearest integer?\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 - (5 - 0))*159\/(-742)?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (16*d**2 + 29*d**2 - 11*d**2 + (0 + 0 - d)*(2*d - 4*d + 3*d))*(21773*d - 36 - 21774*d + 909).\nAnswer: -33*d**3 + 28809*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 9*l + 76. What is x(-7)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.8 + 5.8. Let h = 10 - 7. What is the closest to -2\/3 in -0.3, y, h?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 268296\/126 - (-1)\/(-3). Let a = 4960 - k. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (j - 4*j + 2 + j)*(2510 - 2510 - 85*j).\nAnswer: 170*j**2 - 170*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 290 divide 4226228?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3 + 6. Let v = -9.04 + x. Let g = -0.46 + v. What is the smallest value in g, 0.3, -1\/7?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 1 - 2*c**2 + 6*c**2 + 2*c - 3*c**2 - c**3. Let i be w(2). Suppose 2*g = -i + 7. Solve 2*t = -t - g for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 495979*i**3 - 2 - 39502*i**3.\nAnswer: -535481*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) be the second derivative of 7*l**5\/120 - l**4\/24 + l**3 - 2*l. Let c(p) be the second derivative of n(p). Suppose 5*v = 1 + 4. Give c(v).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*x - 11*x + 42090 = 3*m, 10 = 2*m. List the prime factors of x.\nAnswer: 3, 5, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -o**3\/4 + 58287*o**2 - 1398861*o\/4 + 1049139\/2.\nAnswer: -(o - 233142)*(o - 3)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + -6*1*5*(sqrt(98) + (sqrt(98) + -4)**2 + -1).\nAnswer: -3391 + 1470*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 250*a**4 - 2*a**6 + 19262*a - 59*a**4 + 2*a**2 - 19235*a + a**6 wrt a.\nAnswer: -120*a**3 + 4584*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*w - 16 = 14*w. Let h(c) be the third derivative of -c**4\/8 - c**3 - c**2. Let r be h(w). Solve -o = -r*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = 14 - 2. What are the prime factors of 552\/20 + c\/(-10)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -49*m**2 + 466*m**3 - 483*m**3 - 663 + 665 in the form b*m**3 + x*m**2 + i*m + s and give x.\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = y + 4*y**2 + 0 - 3*y**2 + 1. Let q(r) = -2*r**2 - 2*r - 38. Let a(o) = -m(o) - q(o). What is the remainder when a(0) is divided by 19?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 4*w. Let n(t) = t**3 - t**2 + t - 2. Let b be n(2). Let l(i) = b - 2 + 0*i**2 - 7*i**2 - i**3 + 2*i**2. Let v be l(-5). Determine g(v).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 121*g + 69. Let k be y(2). Let v = 79 + k. Is 22 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 12 - 8. Let x = r + -2. Calculate the remainder when 49 is divided by 1 + x - 10*-1.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the third derivative of a**8\/1120 - a**7\/560 + 2*a**3\/3 - 2*a**2. Let d(c) be the first derivative of f(c). Factor d(r).\nAnswer: 3*r**3*(r - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 35 (base 10) to base 11.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1.15 - -0.05. Let a = g + 1.23. Let w = a + -0.1300056. Round w to six dps.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (18 + -32 + 20)\/(6*2\/(-36))?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -8*u**3 - 10*u + 2. Let z(m) = m**3 + m + 1. Let y(r) = -a(r) - 10*z(r). What is the derivative of y(s) wrt s?\nAnswer: -6*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + h + 623 = 155, -3*o = 4*h - 680. Calculate the least common multiple of 4 and o.\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 63975493?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.08677, 0.1, -39764?\nAnswer: 0.08677","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 9 = -3*r + 33, 5*r - 22 = v. Let p = v + -1. Suppose -2 = o - 16. Solve -10 = -3*x + 2*s, p*x = -3*x + 2*s + o for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*a + 55 + 154 + 2*a + 36 to the form k*a + d and give k.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange q**2 + q**2 - q + q**3 + 3 - 23 + 0*q**2 to the form m*q**2 + h*q**3 + k + f*q and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11142952?\nAnswer: 2, 103, 13523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*r**3 + 2*r**3 - 2*r**3)*((5*r + 0*r - 3*r)*(2*r + 1 - 1) - 7*r - 6*r + r**2 - 3*r**2) - 3*r**5 + 0*r**5 + 7*r**5.\nAnswer: 18*r**5 - 91*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = h - 2. Let w be i(4). Let u be 3\/1*(-10)\/(-6). What is the third derivative of 2*c**5 - 4*c**u + c**2 - 2*c**w wrt c?\nAnswer: -120*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4775 = -3*w + 2*n, -5*w + n - 3431 - 4539 = 0. Let k = w + 2659. Does 19 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.416448 hours to weeks.\nAnswer: 0.020336","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m**2 + 10*m - 2. Let y be r(-11). Suppose y*o = 17*o - 1352. What is the tens digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 99703957?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.25825 times 26.2?\nAnswer: 85.36615","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-903)\/(-3096)*7\/(49\/(-56))\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1352906117 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*z + 2*z = -10 + 10. Put -5, z, 4, -65 in ascending order.\nAnswer: -65, -5, z, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 734084 to the nearest integer?\nAnswer: 857","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 41884?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*p + p + p)*(2*p + 2*p**4 - 2*p) - p**5 + 0*p**3 + 0*p**3 + 6241*p**5 - 2984*p**5 - 3127*p**5 - 5*p**5 - 2*p**5 - 2*p**5.\nAnswer: 118*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 15411983, 15411988, 15411993, 15411998, 15412003?\nAnswer: 15412008","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 2*g = -21, g = 5*l - 0*g - 18. Let u be (-1)\/(-2)*(l + -3)\/(-3). Sort -3, 18, u in descending order.\nAnswer: 18, u, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1\/236, 5, 2, 2\/13?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 3, -5, -176, -5045 in descending order.\nAnswer: 3, 2, -5, -176, -5045","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1318*g**2*o*q + 73*g**2*o + g**2*q - 2*g*o wrt q?\nAnswer: -1318*g**2*o + g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2.3 - 2. Let y = l - 0.4. Let w be 1*-3*(-7)\/(-105). What is the biggest value in 0.1, w, y?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -8 - -371?\nAnswer: 365","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-11\/2)*g**2)\/(g**0)**(2\/123) assuming g is positive.\nAnswer: g**(-7\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 0.2477912 times -5\nAnswer: -1.238956","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*2*(sqrt(1331)*-2*1 - sqrt(1331) - sqrt(1331) - (sqrt(1331) + 4)*-5)**2 + 1.\nAnswer: -13847 - 3520*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the third derivative of d**7\/70 - 7*d**3\/3 - 4*d**2. What is the first derivative of y(l) wrt l?\nAnswer: 12*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11 + (-15 - 0 - (39 + -46))?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-112)\/(-24) - (-2)\/(-3). Let r be 4\/6 + (l - (-122)\/(-30)). What is the nearest to -1 in r, 0.4, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1*(-3 + 6) - -7. What is the remainder when 53 is divided by 14 + r\/(5 + -4)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 50 = -5*y, 3*y - h - 2*h - 30 = 0. Let z = 13 + -10. Which is the biggest value? (a) y (b) z (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 80, 358, 1116, 2594, 5032, 8670?\n\"Answer: 40*c**3 - 2*c + 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -51*h - 4. Let j(k) = 152*k + 13. Let o(y) = -2*j(y) - 7*s(y). Does 14 divide o(1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1, -7.02, 0.01, -913, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 80558.6246 + -11.\nAnswer: 80547.6246","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -23209, -23411, -23615, -23821, -24029, -24239, -24451?\nAnswer: -24665","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 take away 125422475?\nAnswer: -125422477","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 508462241?\nAnswer: 7, 157, 462659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -343*s - 35. Let o be w(-11). Suppose -19*u + o = -13*u. Let i = -268 + u. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 268 and 373190.\nAnswer: 746380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3708908 is divided by 247259.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the first derivative of -2\/3*r**6 + 0*r**2 + 5 + 0*r + 23*r**3 + 0*r**4 - 1\/5*r**5. Find the third derivative of p(n) wrt n.\nAnswer: -240*n**2 - 24*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 472 + 976 = -439*i + 131 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -152675 = 24*f - 152003 for f.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1871 = 42*p - 481. Does 37 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand u + 0*u + u + 3*u + 4*u - 5*u + (1 + 1 + 0)*(-2*u - u + 5*u) - 2 - 2*u - 7*u + 13*u.\nAnswer: 12*u - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6111*c + 13 = -6110*c + 4*k, 36 = 2*c + 3*k for c.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*b = -16*b - 28. Suppose b*t = -16, 3*k - 2*k - 54 = t. Is k at least as big as 48?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2.1 + 2. Let s = 3.1 - -1. Let l = s + -4. Which is the second smallest value? (a) 2 (b) l (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 83 - 17 = 0. Let w(h) = -9*h + 2. Let c be w(4). Let b = c + 72. Calculate the remainder when b is divided by g.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = -7 - 1. Let o(b) = -2 + 4 - 3*b + 3*b**3 - 4*b + 5*b. Calculate the lowest common multiple of o(d) and 20.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1 - -35. Is n a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1835 = -5*y + 2*o + 540, -2*o = 3*y - 1425. What is the hundreds digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vs when two letters picked without replacement from {x: 1, g: 2, v: 1, q: 1, s: 2}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.0694 and 0.1.\nAnswer: 0.1694","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -138077 plus -61.32?\nAnswer: -138138.32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -21112 - -4?\nAnswer: -21104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((o\/(o**25\/o))\/o)\/((o\/o**9)\/o))**39)**30 assuming o is positive.\nAnswer: o**(-17550)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 43620586 to the nearest integer?\nAnswer: 6605","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 12589 to the power of 1\/3, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000010477206782 to 7 decimal places.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -82149 by -64.\nAnswer: 82149\/64","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 41 - 46. Which is the nearest to -2? (a) t (b) -4 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -313 + 57. Let c = a + 161. Let z = c - -95.0000093. What is z rounded to 6 decimal places?\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -549.69 and 0.02.\nAnswer: -549.67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1791*x + 1791*x + 43*x**2)*(-3*x - 2*x + x) - 2*x**3 - 4*x**3 + 4*x**3 in the form w*x**2 + c*x + f*x**3 + v and give f.\nAnswer: -174","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*l**2*q - 411898*l*q**3 - 33729663*q**3 wrt l.\nAnswer: 4*l*q - 411898*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 29 + -19. What is the remainder when (-8)\/2 + (-2 + 4 - -40) is divided by v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 5, e: 9}. Give prob of sequence bbb.\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 5, -1\/9, -3, -625, 3\/7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -13470 less than -228996\/17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 662909663.\nAnswer: 13, 59, 864289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -r**3 + r**2 - 1. Let o(h) = 8*h**4 - 5*h**3 + 5*h**2 - 20*h - 5. Let p(m) = 5*f(m) - o(m). Find the second derivative of p(g) wrt g.\nAnswer: -96*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7626?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -169 = 3*j - 178. Solve 6 = -2*o + j*s, o + 6 = -o + s for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 364367*p - 420 = 364347*p for p.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 51039 and 107.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1 - 3. Let f = 1 + x. Let o = 1.5 + -1. Put o, -1\/6, f in decreasing order.\nAnswer: o, -1\/6, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3 - 2.6. Suppose 0 = 2*n - 6, -5*s + 2*n + 2*n + 198 = 0. Let w be -2*(s\/9)\/(-7). Put 0, o, w in descending order.\nAnswer: w, o, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*q = 7*q - 75*q + 32*q - 364 for q.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 392177 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -12383 minus -571.879?\nAnswer: -11811.121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 1\/10, -0.073, -2?\nAnswer: -0.073","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000013664 to 7 dps.\nAnswer: -0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 3*m + 12 = 0. Suppose -y - 2*y = -m. Suppose -50 = -4*h - y*s, -4*h + 24 = 5*s - 23. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -31\/339816 and 89\/3511432?\nAnswer: 10534296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 36 - 78 = 0. Let o be 63\/(-84)*464\/(-6). Let d(s) = g*s - 1 + 4 - o*s. Determine d(3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 22 = -0*f. Let x = f + -14. Does 3 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -z**3 + 2*z**2 + z - 1. Let d be 1 + (1\/(-3))\/(47\/(-141)). Give l(d).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 1, n: 3, w: 1}. What is prob of picking 1 n, 1 b, and 1 w?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -227*d*h**2*k - d*h**2 + d*h*k + 9*d + 4*h**2 wrt k?\nAnswer: -227*d*h**2 + d*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 7*c. Suppose 2*x - 296 = r, -4*x + 333 + 279 = 3*r. Let y(h) = -147*h**2 - h + h + x*h**2. Calculate a(y(v)).\nAnswer: 21*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 25 and 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one fifth of a litre?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 335*q**4 - 5*q**3 - 6*q**2 - 52*q + 5. Let d(h) = -h**4 - h**3 - h**2 + 1. Let x(j) = -5*d(j) + s(j). Find the third derivative of x(b) wrt b.\nAnswer: 8160*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 3.2016 and 5.\nAnswer: 8.2016","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 593347569 to the power of 1\/3, to the nearest integer?\nAnswer: 840","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1519 and 2107?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve c + 5 - 2 = 0 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 5*d - 5*f - 9, -3*f = d + 15. What is the tens digit of d + 12015\/9 - -5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 2 - 9)*(-48*h + 14 + 15 - 30).\nAnswer: 240*h + 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/12*0)\/((-18)\/6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ejwizimzijzz. Give prob of picking 1 z and 1 j.\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 2*g**2 - 3 - g**2 - 3*g - 3*g + 2*g. Calculate u(4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4.99 - -5. Put -4, -5, c in ascending order.\nAnswer: -5, -4, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -14*i**5\/3 - 430*i**4\/3 - 2186*i**3\/3 + 7066*i**2 + 21984*i - 6840 = 0. Calculate i.\nAnswer: -19, -15, -3, 2\/7, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 93782581 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 707.5986ml in litres?\nAnswer: 0.7075986","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3609460 divided by -3609460.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + h - 80 = 0. Suppose 2*v + h = 2*b, -3 + 2 = v. Let y = 27 + 18. What is the highest common factor of b and y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 - 2*s**2 + 12*s - 1 - s**4 - 13*s + 2*s to the form l*s**4 + r*s**2 + o*s + d + a*s**3 and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2890903?\nAnswer: 1019, 2837","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (85 - (-2 + (-2 - -2))) + -1 is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -3, 826, -2 in ascending order.\nAnswer: -3, -2, 5, 826","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 18*a**2 - 4. Let b(w) = -37*w**2 + 7. Determine 3*b(h) + 5*k(h).\nAnswer: -21*h**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 14 + -3. Suppose -4 = -5*w + u. Let c(d) = 0*d - 116 + 108 - w*d. What is c(-6)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 5 = 0, -3*r = -4*w - 8*r - 17. Sort 22, -2, w, 3 in descending order.\nAnswer: 22, 3, w, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -810*t - 813. What is k(-1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.614831 years to centuries.\nAnswer: 0.05614831","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 d when two letters picked without replacement from eeddqedadpdqzzddd.\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1320921?\nAnswer: 3, 7, 29, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = f - 2, -2*c + 5*f = 1 + 3. Let w(u) = -2 + 9*u + c - 5 - 11*u. Let k be w(-3). Solve 3*y - k = 4*h, 5*y - h = -4*h - 16 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26287 - 173941 = -13*r. Suppose -10*z = 8*z - r. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 7*r**2 + r - 1. Let o be h(1). Suppose -o*y + 51 = -8*y. Let x = y + 137. What is the tens digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 45*q**2 - 3*q + 3*q + 184*q**2 - 495*q**2.\nAnswer: -266*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - -1) + 8 + -14 - -5.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 2 - 1 + 2*z - 6. Let i be w(5). Find the second derivative of -i + 5 + 2*g - 4*g**3 + 2*g wrt g.\nAnswer: -24*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*j - 4*d = -14*j - 273, -4*d + 220 = 4*j. Solve -j*c - 44*c = -97 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0 (b) -2674 (c) -0.8 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -p**2 + 10*p - 8. Let q = -20 - -42. Suppose -2*f - 3*o = -7*o - q, 17 = 3*f + 2*o. Let c be d(f). Calculate the greatest common factor of 117 and c.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -4460*p - 4370724. Determine y(-980).\nAnswer: 76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 975*o**2 + 4*o - 8. Let w(a) = 972*a**2 + 3*a - 6. Calculate -3*n(f) + 4*w(f).\nAnswer: 963*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4700, 3647, 2572, 1463, 308, -905, -2188, -3553?\nAnswer: -5012","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 31818685 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 796 is divided by 371.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 + 1 = -5*z. Suppose -y = 4*y + 5. Sort -7, y, z.\nAnswer: -7, z, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*p**3 - 29726*p**2 - 3249 wrt p?\nAnswer: 6*p**2 - 59452*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1058, 4, -2.\nAnswer: -2, 4, 1058","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-d + d - 2*d**3)*(-23290*d - 4095*d - 6700*d - 8 + 8).\nAnswer: 68170*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 200 and 4?\nAnswer: 196","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 643 minutes after 12:10 AM?\nAnswer: 10:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -128, -118, -94, -50, 20, 122, 262?\n\"Answer: b**3 + b**2 - 130","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = -3*p + 91, 3*x + 3 - 75 = -2*p. Calculate the least common multiple of 12 and p.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 6\/11, -1, -5\/8, -0.5, -8?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:00 PM and 3:14 PM?\nAnswer: 194","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 26 + 19066?\nAnswer: 19092","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 1 (b) -0.02 (c) 0.04 (d) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -626 and 0.12.\nAnswer: -75.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 3*b = 39, 3*x + b - 13 = 13. Let h = -5 + x. Solve -n + h + 1 = 0 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -88482?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 9 and 276?\nAnswer: 828","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3.4 - -3.39893. What is m rounded to 4 decimal places?\nAnswer: -0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 15*1*(-8)\/(-3). Let y be 179 + (-2 - -2 - (4 - 5)). Let n = y + -170. Calculate the highest common divisor of n and b.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7781 is divided by 2546.\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1814105*l**3 - 2694042*l?\nAnswer: -10884630*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = -3*k + 4990. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 63430*o**4 - 20*o**3 + 12636841*o wrt o?\nAnswer: 761160*o**2 - 120*o","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:35 PM and 9:55 PM?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 628044290 a multiple of 382?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 9676299 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-36084)\/143 - (-24)\/132. Let t = z + 252. Which is the biggest value? (a) 1 (b) t (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -t**2 - 7*t + 14. Let u be y(-7). Let d(j) = 3*j**2 - 47. Is d(u) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 bigger than -199\/10576330?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 4\/7, 10, 14, -1\/6?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 12) to base 13\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -9002 - -14602. List the prime factors of y.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 82 * -14\nAnswer: -1148","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 490\/11 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 528 minutes after 5:05 AM?\nAnswer: 1:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -290, -293, -294, -293, -290, -285?\n\"Answer: l**2 - 6*l - 285","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 14310811 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 16474949 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = u**2 + 14*u - 18. Let c be g(-15). Let a be (c + (-26)\/(-4))*2. Let p = 13 - 6. Calculate the highest common divisor of a and p.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in 5, 22, 0.05?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -v**3*y + 87*v*y**2 + 92*y**2 wrt v?\nAnswer: -3*v**2*y + 87*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - 94891881356.\nAnswer: -94891881355","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 6270 a multiple of 97?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i**4\/7 + 4129586*i**3 - 86721324*i**2\/7 = 0.\nAnswer: -14453554, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*t - t - 5*t + 3*t - 7781.\nAnswer: 2*t - 7781","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 7, 0.4265, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, -0.9, 0.2, -0.2 in decreasing order.\nAnswer: 0.2, -0.2, -0.9, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*r**2 + 2*r**2 - r**2)*(-1029441 + 1029441 - 2990*r).\nAnswer: 2990*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (10\/(-8))\/((-12)\/(-48)). Suppose 42 = 6168*k - 6182*k. Do s and k have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 292*s**2 - 24944*s + 10540.\nAnswer: 4*(s - 85)*(73*s - 31)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = p**2 + 9*p + 4. Determine s(-9).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 4*w + 3. Let y(g) = 5*g + 4. Let s(j) = -4*q(j) + 3*y(j). Let d(i) = 8*i + 1. What is -d(u) - 2*s(u)?\nAnswer: -6*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the first derivative of 3*d**5\/20 - 153*d**4\/4 + 200*d**3 - 2235. Factor g(q).\nAnswer: 3*q**2*(q - 200)*(q - 4)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -s**3 - 5*s**2 - 6*s - 1. Let o(u) = u**3 - 7*u**2 - 7*u - 7. Let n be o(8). Let c be (26\/(-10))\/(n\/(-5)). Let v = c + -17. What is t(v)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 4, -2, -5, -274 in increasing order.\nAnswer: -274, -5, -2, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40*z**5 + 745*z**4 + 3455*z**3 + 2045*z**2 - 3495*z - 2790 = 0. What is z?\nAnswer: -93\/8, -6, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 446, 444, 442?\n\"Answer: -2*b + 448","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*q**4 + q**4 + 184*q + 3*q**4 - 1 + 0 + q**2 + 203*q in the form x*q + t*q**3 + g*q**2 + z + j*q**4 and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 0.447647 - 19974956\nAnswer: -19974955.552353","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*x - x - 476 = -d, 5*d + 20 = 0. List the prime factors of x.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4501389 grams to micrograms.\nAnswer: 450138.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5 - -6. Suppose -z + 3*c + 208 = 0, 3*z - 891 = 5*c - 251. Let t = z - 143. What is the highest common divisor of t and o?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(500) + 0)**2*4 - ((sqrt(500)*1)**2 + 5))*-6.\nAnswer: -8970","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the third derivative of s**5\/60 + s**4\/3 - 5*s**3\/3 - 19*s**2. Give d(-10).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a millennium in months?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 771*r - 4*r**2 + 772*r - 3*r**2 + 725*r - 2268*r.\nAnswer: -7*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3 - -1) + (0 - 0). Suppose -1 = -3*f + 2. What is the nearest to f in 5, -0.2, c?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/(n**(3\/2)\/n))\/(n*n**4\/n)*n**(-6)*n**(-2\/15))\/((n*(n**(-3\/5)*n)\/n*n)\/(n**(-6\/7)\/n)*(n\/(n*n**(-2\/3)))**(-1\/20)) assuming n is positive.\nAnswer: n**(-90\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.079499061 rounded to 1 decimal place?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27961856.\nAnswer: 2, 13, 4201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-w + 5 - 5)*(2*w - 4*w + 0*w) + 0*w**2 + w**2 + w**2)*(4*w - w + 0*w).\nAnswer: 12*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -27*n. Let c(u) = -81755*u + 81746*u + 2 - 2 + 1. Give s(c(t)).\nAnswer: 243*t - 27","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 501 = 3*t, -o - 302*t + 111 = -305*t. Put 5, o, -3 in ascending order.\nAnswer: -3, 5, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -2*p**2 + 622*p - 16352. Give g(29).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence swwn when four letters picked without replacement from qqnqhsvvvvsqwvsswww.\nAnswer: 1\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -2*c - 3. Let y be x(-4). Let p(o) = y*o - 2*o + 3 - 6. What is p(3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -214398 * 2681\nAnswer: -574801038","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -0.6 times -7866\nAnswer: 4719.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -42, -94, -150, -210, -274, -342?\n\"Answer: -2*v**2 - 46*v + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 7854301 to the nearest integer?\nAnswer: 199","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 41?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 22 in -4, 2.7, 363?\nAnswer: 2.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -113*t + 108*t - 20 = 0 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.1 (b) -1\/8 (c) -1379 (d) -71\/29 (e) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6145*c - 177 = -88 - 89 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -202, -751, -1644, -2875, -4438?\n\"Answer: t**3 - 178*t**2 - 22*t - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(18\/7))**26 assuming d is positive.\nAnswer: d**(468\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 528138?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve s - 4*b = -16, 3*s + 1 = -s - 5*b for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2051, -8195, -18429, -32747, -51143, -73611, -100145, -130739?\nAnswer: -165387","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3634 - 4965 = 381*v + 12046 - 3500 for v.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = s**2 - 8*s + 12. Calculate c(5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -10*l*n*z**3 + 9*l*n*z - 7*l*z**2 - 9*n*z**5 - n*z**4 + 11*n*z wrt z?\nAnswer: -60*l*n - 540*n*z**2 - 24*n*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -783 + 777. Let l(q) = -8*q**3 - q**2 + 2*q + 4. Let o be l(-3). Let m = g + o. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 623 is divided by 39?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -30\/19 in 4, 1\/11, -1\/6, 0.2?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) be the first derivative of n**2\/2 + 7*n + 32. Let v be (2 - (1 - -2)) + 1. Let b = v + -4. What is l(b)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = o + 6. What is the remainder when 27 is divided by i(9)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27543 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 288441 (base 11) in base 7?\nAnswer: 3554066","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1013722 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8 + 13. Let r = -13 - f. Let m = -179 - -183. Which is the third biggest value? (a) r (b) m (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = 17*n - 243. Suppose -9*g = -n*g. Let m(p) = p - 20. Give m(g).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-39)\/(-45) - 6\/30 - 1. Suppose 5 = -4*g - m, 0*m + 5 = -2*g - 3*m. Sort g, t, 3\/2 in increasing order.\nAnswer: g, t, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) be the first derivative of -u**2 - 11*u + 107. Calculate f(-8).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w + 3*c = 59, -62*w + 101 = -58*w + 5*c for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -146*h = -165*h - 57 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 354*n**5\/7 - 4754350*n**4\/7 + 1744488*n**3\/7 + 18963680*n**2\/7 - 6983616*n\/7 + 214880\/7 = 0. Calculate n.\nAnswer: -2, 2\/59, 1\/3, 2, 13430","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 89 minutes before 11:49 AM?\nAnswer: 10:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*g - 2*g + 2*z - 38, -54 = -4*g - 2*z. Suppose g = -o + 4*w, -2*o - w + 18 = w. Suppose 0*x + o = x. What is the units digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 46550 and 686?\nAnswer: 325850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 246 minutes before 6:06 AM?\nAnswer: 2:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0036794983 to four dps.\nAnswer: 0.0037","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 140 divide 73669?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 158 minutes before 7:14 AM?\nAnswer: 4:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3*r - 5*r + 3*r)*(1 + 0 - 3) + 4*r + 46*r + r)*(2 - 3 + 3).\nAnswer: 98*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 437 + -426. Solve q*v - 10*v - 7*v = 0 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 240197686 to the nearest integer?\nAnswer: 15498","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 60 = -3*j, j + 3*k - 3 - 5 = 0. What is the highest common divisor of 187 and j?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1886.\nAnswer: 2, 23, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 531 - 315. Calculate the greatest common factor of k and 1224.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -151381 at most -151382?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 3*k**2 - 3*k - 9. Let c(z) = 2*z**2 - 2*z - 5. Determine 5*c(l) - 3*u(l).\nAnswer: l**2 - l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 5, v: 3, n: 2}. Give prob of sequence nmnv.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 at most as big as 17.7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*b - 5 - 0. What is the lowest common multiple of 5 and (-291)\/(-15) + 2\/(-5)*b?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:15 PM and 10:00 PM?\nAnswer: 585","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 5*x**2 - 10*x - 10. Suppose -5*k - 5 = -2*z, -2*z - 5*k + 15 = -0*z. Let a be j(z). What is the units digit of a - (6 + 3)\/3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 81799 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in 1\/5, 1\/12, -0.1?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -60*r - 59*r + 23*r**2 - 3*r**2 + 119*r.\nAnswer: 20*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -77\/267730 and -15\/1868.\nAnswer: 250059820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1873 - 585. Does 8 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mg when two letters picked without replacement from {g: 1, m: 2}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.9763 rounded to 0 dps?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-37)\/((-111)\/20) + (-1)\/(-3). Solve 2*u - y*u + 3*h - 3 = 0, 0 = 2*u - 4*h + 4 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48*k - k = -19502. List the prime factors of k.\nAnswer: 2, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2 + 10. Suppose -7*y = -p*y + 100. List the prime factors of y.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -2. Let y(t) = -1. Let g(w) = f(w) - 4*y(w). Let s(a) = -5. Let n(c) = -8*g(c) - 3*s(c). Let v(q) = 2*q + 4. What is -2*n(o) - v(o)?\nAnswer: -2*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2*-38*(-2)\/4. Suppose -5*s + 1321 + 544 = 0. Let i = r + s. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 820\/11 greater than 76?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*o = 2*o + 72. Solve -7*c - o = -c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*p**3 - 63*p**2*r - 16*p*r - 1 wrt p.\nAnswer: 12*p - 126*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rkqrzrskkqqrzsqtz. Give prob of sequence zkkz.\nAnswer: 3\/4760","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 20287 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 2835\/567*3\/((-585)\/(-3))\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 86.3, -2, -5, 0.5 in ascending order.\nAnswer: -5, -2, 0.5, 86.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 27.68481 + -27.336. What is r rounded to two decimal places?\nAnswer: 0.35","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -88.38 times -1.5?\nAnswer: 132.57","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 323.4 and 1.5692?\nAnswer: 321.8308","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 2*y**2 + 15*y + 32. Let b be h(-7). Solve 2*d - 20 = 3*q - 5*q, -4*q = d - b for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -94.9 times -4?\nAnswer: 379.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 317 minutes after 1:39 PM?\nAnswer: 6:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11422281?\nAnswer: 3, 13, 292879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 94992 to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -5*n**2 + 5*n. Let l(b) = b**2 - 2*b. Let y(r) = -2*f(r) - 5*l(r). Let q(k) be the second derivative of k**4\/4 - 3*k. Determine q(y(p)).\nAnswer: 75*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*b**3 + 12724*b**2\/5 + 206048*b\/5 + 80384\/5 = 0. Calculate b.\nAnswer: -1256, -16, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-16)\/(-28)*((-14)\/152)\/((-13)\/(-26))?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -296 + 346 + -14 + -1.\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:51 AM and 9:49 AM?\nAnswer: 418","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/41716? (a) -4\/25 (b) -4 (c) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -18058 + 18036.991. Let r = w + 0.009. Let y = r + 21.00000146. Round y to seven dps.\nAnswer: 0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1)\/1 + -1 + -3. Let d = -88\/123 - -2\/41. Let c = d + -1. What is the second smallest value in -2\/5, f, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0*r + r + 0)*(-8*r**4 + 6*r**4 - 2*r**4).\nAnswer: -4*r**5 + 4*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*p**3\/7 + 116*p**2\/7 - 64*p\/7 - 60\/7 = 0 for p.\nAnswer: -15, -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -13 - -23. Suppose 0 = 4*r - 2*r - g. Suppose -r*p + 3*p = 5*p. Solve y - 6*y + 5 = p for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5 + 10. Suppose -3*x - 10 = -o*x. What is the highest common factor of 35 and x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 410 and 41?\nAnswer: 410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(304)*-1*-2)**2 + -1.\nAnswer: 1215","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 19432637?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) be the third derivative of o**5\/10 + 3*o**4\/8 + 2*o**2. Find the second derivative of x(w) wrt w.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -4944867, -4944868, -4944869, -4944870, -4944871, -4944872?\n\"Answer: -o - 4944866","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1106937 and 23985?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 5 (b) -4\/5 (c) 6\/1601 (d) -5\/3 (e) -5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = i - 1. Let f(q) = -5*q + 4. Let x(m) = -f(m) - 4*r(m). Let j(d) = -2*d. Let v(p) = -3*j(p) - 4*x(p). Let n(c) = 7*c**2 + 9*c. What is v(n(k))?\nAnswer: 14*k**2 + 18*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 15 + 3)*(k - 4*k + 2*k)*(-2422 - 1811 + 3600) in the form u*k + v and give u.\nAnswer: 10128","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2 + 2. Let i be (8\/(-6))\/((-30)\/(-45)). Let p be 146\/(-74)*i + -4. Which is bigger: p or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 693 divide 641197185?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t + 5*f + 24 + 62 = 0, -3*t - 7*f - 210 = 4*f for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -876568 divided by -23\nAnswer: 876568\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-31)\/(31\/6)*3\/2.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bmwvmbyvbwmfmbbybmv. What is prob of sequence mbby?\nAnswer: 25\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of q**4 - 22*q**2 + 117 wrt q.\nAnswer: 4*q**3 - 44*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m, 1 u, and 2 a when four letters picked without replacement from eueegnmmeegegannea.\nAnswer: 1\/1530","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1)\/(2 + 3) + (-22)\/(-10). Suppose -7*l = -5 - n. Which is smaller: -1\/51 or l?\nAnswer: -1\/51","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the third derivative of -p**6\/60 + 2*p**5 - p**4\/24 + 3*p**2 - 6*p. What is the second derivative of w(k) wrt k?\nAnswer: -12*k + 240","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3176aa (base 12) to base 8.\nAnswer: -2764042","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4\/8 - (-5)\/(-10). Suppose -4*m - x + d*x = -320, 2*m - 4*x = 142. What is the remainder when m is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 104989511 to the nearest integer?\nAnswer: 10246","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*sqrt(243) + sqrt(75)*-2.\nAnswer: 17*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 8*k = 4*x - 28, -2*x + 2 = -4*k. Suppose -17*n - 2 + 36 = 0. Find the first derivative of -9 - 5 + 10*v**n - 2*v**k wrt v.\nAnswer: 16*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1001\/7990 or 0?\nAnswer: 1001\/7990","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -82 - -77. Let v be -2 + (-13)\/t - (-4)\/10. Let c = 1.1 + 3.4. Is c at least v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 205207 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 7418368?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(-22)*a**22\/a*a**(-2\/5)*a**(1\/4) assuming a is positive.\nAnswer: a**(-23\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 282592 is divided by 4691.\nAnswer: 1132","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 6*k + 24 = 0, 67*k - 72*k - 148 = 3*l. Which is the fourth biggest value? (a) -22 (b) 2\/11 (c) l (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -71*r - 112. Let j be h(21). Is j greater than or equal to -1601?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10310203 (base 4) in base 12?\nAnswer: -b517","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 4*b**2 + b. Let n be z(1). Suppose -4*q = -5*g - 10 + 21, 3*g = -3. What is the biggest value in n, 4, q?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = k**3 + 7*k**2 + 5*k - 7. Let u be n(-6). Let f = 75 - 1723\/23. Which is smaller: u or f?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.93 + 0.07. Which is bigger: -4\/13 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vlvj when four letters picked without replacement from vvlvqvdj.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -55 - -54.9824. What is h rounded to three decimal places?\nAnswer: -0.018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -18 + 13. Let a = c - -9. Is (a\/(-2))\/1 + 16 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1237 + 1241. Suppose -3*c + c = -6. Suppose -s*v = -2*u + 32, -29 = -c*u + 3*v + 22. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is g in g**2\/3 - 1108*g\/3 + 15316\/3 = 0?\nAnswer: 14, 1094","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -121\/4 - -30. Suppose 5*o = 2*h + o - 28, 0 = h - 3*o - 18. Let y(j) = -j**2 + 7*j - 3. Let i be y(h). Put m, i, 0.3 in ascending order.\nAnswer: m, 0.3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 18944 and 111.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = p**3 - 39*p**2 + 4*p - 154. Let a be j(39). Solve a*l - 28 = -24 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) be the second derivative of 3*g + 0 - 5\/24*g**4 - 2\/3*g**3 + g**2. Find a, given that p(a) = 0.\nAnswer: -2, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3205 * -2\nAnswer: 6410","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 85\/342818 and -43\/14.\nAnswer: 342818","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:52 AM and 8:37 PM?\nAnswer: 705","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 0 + -32123?\nAnswer: -32123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 33836267 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-24)\/48*12*1?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0 + 1. Let n be 7\/28 + 1\/12. Let k = -4 + 5. Which is the nearest to h? (a) n (b) 4 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 28\/(-49) - (-11 + 3249\/133)\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 54*p - 180 = 72*p for p.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 + (-86 - -22) - -24?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of -15 and -12.\nAnswer: 180","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.7 - -0.3. Let i = r + 3. Let d = -3787 - -3783. Put d, -1\/3, i in descending order.\nAnswer: i, -1\/3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (32 - 20) + 3 - 0?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4988718mg to micrograms.\nAnswer: 498.8718","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*m - 8*m + 14 + 3*m)*(-m**3 - 5*m + 5*m).\nAnswer: 2*m**4 - 14*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 4*l - 26. Let p = l + -5. Solve 0 = p*g - 4*g + 2 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y*y**(-2\/5)*y*y\/(y*y**(-8))*((y**2\/y)\/y)**10 assuming y is positive.\nAnswer: y**(48\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4, -0.19, -2, -9, -4?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8945, -35745, -80399, -142895, -223221?\nAnswer: -321365","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -4891*o + 131729. Give q(27).\nAnswer: -328","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 1941, 7340, 16337, 28932, 45125?\n\"Answer: 1799*c**2 + 2*c + 140","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-125)\/(-5) + -9 + (1 - 2). Solve -5*v + k = -5*j, 4*j + 12 = 3*v - v for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48*l - 17 = -161 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -150\/253, 3, -2\/17 in decreasing order.\nAnswer: 3, -2\/17, -150\/253","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of b*h**6 + 79758191*b*h**5 + 1054846*b*h**2 - 15 wrt h?\nAnswer: 120*b*h**3 + 4785491460*b*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 113, -3, 4226, -18, 0, -2 in descending order.\nAnswer: 4226, 113, 0, -2, -3, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*-5*(sqrt(3) - sqrt(9)\/sqrt(3))*-6 + 3 + -4)**2 + -3.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4 - 5. Let d = 0 + v. Sort d, 1, 2.\nAnswer: d, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5826317 to the nearest integer?\nAnswer: 2414","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 52\/45 and (7\/6)\/7*(-357)\/(-10).\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -33*j**3 + 8237*j - 399232.\nAnswer: -99*j**2 + 8237","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 75 by 6167.\nAnswer: 75\/6167","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1, 0, 2206?\nAnswer: 2206","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 109599.\nAnswer: 3, 7, 17, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2437 - -39799. List the prime factors of f.\nAnswer: 2, 3, 13, 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -3*b**2 - 3*b - 2. Let c be p(-1). Suppose 2*v = 73 + 859. Is 0 + 0 - v\/c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*c - 297367 - 211681 = 0. What are the prime factors of c?\nAnswer: 2, 19, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/939 (b) -1\/4 (c) 2\/3 (d) 0.5 (e) 3.238\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 14) to base 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 4 (b) -2 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 - 9 = 5*w, -4*w = -4*x + 24. Suppose -2*z + 2*t - 134 = -7*z, -71 = -2*z + x*t. Is z a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2379*u - 36812 = -81690 - 93104 for u.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1*768.94.\nAnswer: 76.894","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*4*(3*sqrt(99) - sqrt(99) - sqrt(99)))\/(-1*(sqrt(99) + -2*sqrt(99))\/sqrt(11)).\nAnswer: 24*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*y**4 - 4*y**4 + 2*y**4)*(3 - 3 + 2) - 48*y**4 - 80*y**4 + 22*y**4 - y**4 - y**4 + y**4 as d*y**2 + m + i*y**3 + r*y**4 + q*y and give r.\nAnswer: -105","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 917, 1828, 2737, 3644?\n\"Answer: -g**2 + 914*g + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 13*s - 30*s + 16*s + 2. Let z(r) = r**2 + 3*r - 7. What is -7*w(d) - 2*z(d)?\nAnswer: -2*d**2 + d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 21.174 + -26.174. Which is the nearest to -3? (a) -77 (b) 0.5 (c) f (d) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4687924 is divided by 1057.\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 675.55662 to the nearest 10.\nAnswer: 680","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) be the second derivative of -u**3\/3 + 25*u**2\/2 + 2*u - 2. Give b(8).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -45*x**2 - 3*x + 296. Let n(i) = i. What is n(d(l))?\nAnswer: -45*l**2 - 3*l + 296","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (70\/(-15))\/(1\/(-33)).\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3338947 to the nearest integer?\nAnswer: 149","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2 - -5. Calculate the remainder when 84\/((l\/6)\/((-8)\/(-24))) is divided by 12.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:28 PM and 1:46 AM?\nAnswer: 678","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 980 divide 19164880?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12381?\nAnswer: 3, 4127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oke when three letters picked without replacement from oeooeeooeoeeeoeeeko?\nAnswer: 40\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -46 + 57. Calculate the remainder when 12 is divided by f.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*u - 4*r - 2, 0 = -3*u + 2*r + r + 12. Suppose u*m + 2*m = 168. Calculate the remainder when m is divided by 22.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -v**2 - 572*v.\nAnswer: -v*(v + 572)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -118 - 12 = -13*u. Let v(j) be the first derivative of -u*j**2 - 1 - 16 - 153*j + 175*j - 24. Find the first derivative of v(w) wrt w.\nAnswer: -20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v - 2*v = 3*c + 2*v, -v + 3 = 0 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p and 1 w when three letters picked without replacement from wsplclewp.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 420?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 14520 by -726.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 350 is divided by 59?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5 - -3. Let v(i) = i**3 - i**2 - 2*i. Let k be v(g). Which is bigger: k or 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 488 - 489. Suppose -5*w = -0*w + 5. Is (1\/(1 - q))\/(w\/(-74)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/332, -2, -8, 5, -1, 6\/5 in decreasing order.\nAnswer: 5, 6\/5, 3\/332, -1, -2, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 106.7137 - 1601680.7137. Let s = d + 1601433.99939. Let h = 140 + s. Round h to 4 dps.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 3663042?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q when two letters picked without replacement from {r: 3, q: 4}?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4406, -11856, -22392, -36008, -52698, -72456, -95276?\nAnswer: -121152","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15364?\nAnswer: 2, 23, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.5 + 2. Let r = -1.6 + p. What is the third smallest value in 4, r, 0.1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:22 PM and 11:55 PM?\nAnswer: 693","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -401, -3.04, 7, 4, -3?\nAnswer: -401","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7081\/2 + -3527. Which is greater: -11 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -1\/5, -1.3, 8\/3, -1, -3?\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -18218, -18129, -18040?\n\"Answer: 89*l - 18307","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2119593.\nAnswer: 3, 7, 14419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/(m*(m*m**7*m)\/m))\/(m*m\/((m\/m**9)\/m)*m*m*m)*(m**(1\/4))**23)\/(m\/(m**(-2\/13)\/m)*m*(m**(-12)\/m)\/m)**(-2\/3) assuming m is positive.\nAnswer: m**(-1221\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = t**2 + 2*t. Let b(u) = u - 1. Let h be -4 + 6 + -3 + -1 + 3. Give h*l(f) + b(f).\nAnswer: f**2 + 3*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in five eighths of a litre?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 4*a - 40 = 0, -20*m + 18*m + 56 = 4*a. Solve 18 = m*l - 46 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*w**4 - 9*w**4 + w**4)*(2*w + 0*w - 3*w).\nAnswer: 5*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3633052 divided by -45988.\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*x**2 - 124503*x\/2 + 15563.\nAnswer: -(x + 31126)*(4*x - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 60 and 132.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1721 = 106*a + 4086 - 1143 for a.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -27.995 + 12.995. What is the smallest value in -0.1, -11.8, n, 0.1?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(-7)\/(h\/(h\/(h\/h**(-2\/11)*h))) assuming h is positive.\nAnswer: h**(-101\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 115258 is divided by 126?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 61 - 142 = -27*c. Let v(j) be the first derivative of -3\/5*j**2 + 1\/10*j**4 + 0*j**c - 16 + 4\/5*j. Let v(f) = 0. What is f?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -355253 + 3?\nAnswer: -355250","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 193, 1970, 4941, 9112, 14489, 21078, 28885, 37916?\nAnswer: 48177","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1759461?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the first derivative of j**7\/480 - j**6\/160 - j**5\/40 + j**4\/24 + 5*j**3\/3 - 7. Let k(o) be the third derivative of d(o). Factor k(h).\nAnswer: (h - 2)*(h + 1)*(7*h - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that 2*p**2 - 3433080*p + 1473254785800 = 0.\nAnswer: 858270","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1 * 57.\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the third derivative of -7*w**4\/12 + 6*w**2. Let g(x) be the third derivative of -x**5\/60 - 5*x**2 - 30*x. Determine q(g(v)).\nAnswer: 14*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2608\/45 + -58. Which is greater: m or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15516 = -x - 3816. Suppose -x = 8*f - 18*f. Is 39 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 10 - ((-8)\/(-3) + 10\/(-15)). Solve 3*q = 5*y - 14, -3*q = -4*y + k + 2 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 17283812.46 - 0.3\nAnswer: 17283812.16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 57 - 51. Calculate the lowest common multiple of s and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a*a*(((a*a\/a**17)\/a)\/a)\/a*a))**(32\/7) assuming a is positive.\nAnswer: a**(512\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 k when four letters picked without replacement from {k: 12, h: 3}?\nAnswer: 33\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 559284?\nAnswer: 2, 3, 11, 19, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s = -i - 17 + 27, 3*i - 3*s + 24 = 0 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(156) - sqrt(156)*1*2 - -6*2*sqrt(156))*5)\/((sqrt(132)\/(sqrt(11)*2) + -4*sqrt(12)*-1)*2).\nAnswer: 55*sqrt(13)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 22\/66*2*-9.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 16) to base 11.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(44)\/(sqrt(4) - sqrt(144)) + 0.\nAnswer: -sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 + 19966*o + 5 + 15650*o.\nAnswer: 35616*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -z**3 + 6*z**2 - z + 2. Let l be m(6). Let n = 182.4 - 183.4. Which is the nearest to n? (a) 3 (b) l (c) -9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*l + 7*l = -598. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -44*f**3 + 5*f**2 + 17*f + 25. Let n be (-12)\/30 + (-65)\/25. What is the tens digit of x(n)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 129258.\nAnswer: 2, 3, 43, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -2*y**2 - 23*y + 14. Let f be b(-12). Solve 3 + 1 = f*g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -5 - -10827283?\nAnswer: 1082727b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 9*m + 99 - 153 for m.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*h**3 - 30*h**2 - 159*h + 18 = 0.\nAnswer: -2, 1\/9, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3\/2 (b) 1\/7 (c) -0.03 (d) 3\/17 (e) -0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sum -8779.9 and 1.0376.\nAnswer: -8778.8624","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.6 (b) 33 (c) -1 (d) -1\/4 (e) -0.01\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21010.\nAnswer: 2, 5, 11, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the first derivative of -7*t**2\/2 + 8*t - 15. Let z be l(-4). Suppose 3*j - z = 2*j. Does 12 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ppd when three letters picked without replacement from oopodooopuoooo.\nAnswer: 1\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*q = 10*q - 6. Let k(d) = 0*d**3 + 7 - 7*d**3 + 9*d**3 + 5*d + 9*d**4 - q*d**2. Let i(u) = -u**2 - u - 1. Let o(t) = 14*i(t) + 2*k(t). Factor o(b).\nAnswer: 2*b*(b - 1)*(b + 1)*(9*b + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*-326.54.\nAnswer: 326.54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 > 1683\/61615?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*l - 39 - 30 = 0 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 4*u. Suppose 4*n - n = 69. Let h(s) = 10*s**2 + 23 - n. Determine h(v(q)).\nAnswer: 160*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1095233946?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-8 - -3689)*(-5)\/(-15).\nAnswer: 3, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rriiwiwiwrw. Give prob of sequence wwr.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5\/(-30))\/(84\/360).\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 26174203213 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 2*k**2 + 13*k - 2. Is g(-9) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 3*u + 4*h, -5*u + 19 = -4*h + 4. Suppose u*s - 15 = -5*y, 4*s + 13 = 33. Solve 5*g - 13 + 8 = y for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -375 = 5*r - 960. Suppose -4*o = 3*m - 221, 5*m = o + o - r. Calculate the remainder when 110 is divided by o.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -l**2 - 7*l + 6. Let y(t) = 10*t**2 + 0*t**3 - 2*t - 3*t**3 - 12 + 0*t + 4*t + 2*t**3. Calculate the least common multiple of y(10) and b(-7).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*s**3 + 3*s**3 + s**3 + 0*s**3.\nAnswer: s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 239930522 to the power of 1\/2, to the nearest integer?\nAnswer: 15490","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -3 times 142.248615\nAnswer: -426.745845","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 437 is divided by 40?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31506?\nAnswer: 2, 3, 59, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 16*p + 2*p - 90. Solve 0 = 5*u - p*y - 0*y + 5, 3*u + 11 = -5*y for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1841*y + 59331 = 11465 for y.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1603943169?\nAnswer: 3, 534647723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 506 (b) -144 (c) 2\/9 (d) 3 (e) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n + 22. Let y be o(16). Let f be (y\/(-5))\/((-21)\/70). Suppose 138 = 5*r + 3*d - f*d, -d = 3. Is r a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 33526932 divided by -2\nAnswer: -16763466","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 675, 673, 669, 663, 655, 645?\n\"Answer: -s**2 + s + 675","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -21 - -105. Suppose -5*h - 66 = -136, 3*h = -17*j + 756. Calculate the lowest common multiple of j and z.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that 2*t**2\/5 - 6300*t + 157250 = 0.\nAnswer: 25, 15725","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 75910002 = a, -3*a - 12*w - 227729992 = -16*w. What is a rounded to the nearest 1000000?\nAnswer: -76000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -887477*j**3*w**3 - 136*j**2*k - 52419*j*k*w**3 + 46*j*k + 2*j*w**3 - 2*j*w**2 + k*w**3 - 1 wrt j?\nAnswer: -5324862*j*w**3 - 272*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25 = 43*j - 48*j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 53906.\nAnswer: 2, 26953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2606 + 1023561?\nAnswer: 1020652","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-5*z**2 + z**2 + 3*z**2)*(-3*z + z + 4*z) - 2*z**3 + 3*z**3 - 3*z**3)*(5 - 5 - 2)*(-48 - 11 - 3).\nAnswer: -496*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.1 + -0.6. Let q = k - -0.4896. What is q rounded to three dps?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38211 a multiple of 197?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -46160 + 76809. Is w a multiple of 155?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 42204 is divided by 512.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000610000316 to 6 dps.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -s**2 + 4*s + 3. Let r be a(5). Let q be r + 1 + (-1 - -6). What is the greatest common factor of 36 and q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -4, -2, 55 in decreasing order.\nAnswer: 55, 2, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 4, d: 1, b: 3, s: 4, o: 1}. What is prob of picking 1 b, 1 o, and 1 s?\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -1 + (-4)\/(-10) - (-2)\/(-5). Let l be 9*k*((-5)\/(-3) - 2). What is the second derivative of -6*d**3 - 3*d**l + 6*d**3 - 8*d wrt d?\nAnswer: -18*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 18891 and 1314?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1800\/(-165))\/(-20)*(-11)\/11?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 51051.\nAnswer: 3, 7, 11, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0 + -0.1. Let j be (-822)\/4*12\/45. Let i = 55 + j. What is the closest to -1 in u, i, 1\/7?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 8 (b) 3 (c) -1 (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 + (-13 - -47) - 1.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -11*m - 30. What is the least common multiple of j(-3) and 2?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 382813?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 2, w: 1, q: 4, z: 4}. Give prob of picking 2 e and 2 z.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*w - 0 + 9. Suppose w*y - 10 + 1 = 0. Let d be y + -4 - 33\/(-3). Solve -v + d = 4*f + 3, -f + 4 = -2*v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*y + 4*y - 3*y + (-4*y + 0*y + 2*y)*(0 - 3 + 5) to the form q + m*y and give m.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 8586 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 94128.\nAnswer: 2, 3, 37, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = z + 6. Let j(q) = q - 1. Let n(b) = -4*j(b) - s(b). Let y(k) = 5007 - 18*k + 30*k - 5007 - 13*k. Determine n(c) - 2*y(c).\nAnswer: -3*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -294 - -290. Let i = -0.04 + 1.04. Which is the nearest to i? (a) h (b) 5 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2758896 a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out 508.453136 - -9.\nAnswer: 517.453136","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -2991, -12056, -27165, -48318, -75515, -108756, -148041?\n\"Answer: -3022*i**2 + i + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6159239.2961 - 6158624. Let a = -65.2369 - v. Let r = 681 + a. Round r to two dps.\nAnswer: 0.47","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 3*j**2 + 15*j - 8. Let w be m(-7). Let a be ((-8)\/3)\/(w\/(-51)). Suppose 0 = -a*x, -5*x + 6 = -2*t + 64. What is the tens digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12 + 3 - (-6 + (-1 - 4) + 303 + -347)?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 19*v + 22. Let u(o) = 7*o + 8. Let r(w) = -4*g(w) + 11*u(w). Let a(b) = 280*b + 1. Determine r(a(h)).\nAnswer: 280*h + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5 and 0.746.\nAnswer: 3.73","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 11313, 11367, 11421, 11475, 11529?\nAnswer: 11583","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z**3\/11 - 1326*z**2\/11 + 486*z + 6670\/11 = 0. What is z?\nAnswer: -667, -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 344 minutes after 8:39 AM?\nAnswer: 2:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dd when two letters picked without replacement from dmdoylolc?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 256 is divided by 92?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 2, i: 1, c: 1, y: 1}. Give prob of picking 1 i and 1 y.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 148089704?\nAnswer: 2, 7, 41, 64499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/(-6) + 16\/6. Suppose 17*k - 8*k + 6 = 11*k. Suppose -n = -3*v - 31, 4*v = k*n - 91 + l. Does 6 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i**1*((i**(-2\/9)\/i)\/i)\/i)\/((i*i**(3\/4)*i)\/i**8))**(-16))**7 assuming i is positive.\nAnswer: i**(-3052\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 73 + -68. Solve 0 = -7*g + 6*g - x for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 93887?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 - -5)*(1474\/880 - 2\/(-10)).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -24486741 divided by 24961?\nAnswer: -981","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ss when two letters picked without replacement from sxssxsssss.\nAnswer: 28\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 7\/3201?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/5*(-7)\/((-21)\/30).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(-37)\/(a\/(a\/(a*a\/a**(-3\/4))))*a**23\/a**23 assuming a is positive.\nAnswer: a**(-159\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 141909 take away 0.5?\nAnswer: 141908.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3394?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*o**3\/2 - 9*o**2\/2 - 867240*o - 252946314.\nAnswer: 3*(o - 879)*(o + 438)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5 + 3. Let w = -0.9 - v. Let p = w - 0.1. Which is the second smallest value? (a) -5 (b) -3 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 43*l - 443750 + 78637. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.5 + 0. Let k = 117.2 + -117.4. What is the nearest to w in 4, k, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/(-50))\/(2\/(-10)).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8488158*-2.\nAnswer: 16976316","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 58930 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 3, 4, 1\/3, 2\/3, -2.3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 91 and 117.\nAnswer: 819","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 426156 and 884.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 + 17 + (0 - 0) - 10.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-2)*(t**(1\/8)*t)\/t)\/(t**(-5\/4)*t*t*t**(2\/5)))**(-40) assuming t is positive.\nAnswer: t**121","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 1010001100 (base 2) to base 10\nAnswer: 652","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (145*(-48)\/360)\/((-4)\/12*2)\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = 3*q + p, -p + 3*p = 4*q + 16 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) be the first derivative of -8\/3*v**3 - 1\/4*v**4 + 9*v - 3*v**2 - 55. Give x(-7).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -59 - -70. Solve 5*p + 4*j = m, -p - 2*j + 4 + 3 = 0 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 170 minutes before 5:22 PM?\nAnswer: 2:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12 - 22002200220?\nAnswer: -22002200201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 10f66a - -38?\nAnswer: 10f6a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the third derivative of -11*i**6\/720 + i**4\/24 + 2*i**3\/3 - 2*i**2 + 1. Let n(m) be the second derivative of o(m). Give n(2).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2 - -17?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 40*j + 192. What is g(-6)?\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1271, -2964, -4657?\nAnswer: -6350","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q**2 - 2*q. Give n(-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1\/6, -4\/33, 0.2, -0.7?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -9 + 8. Let q be y\/3 + (-2)\/(-6). Find z, given that 1\/3*z**2 + q*z + 0 = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6 + 1)*-1*(-4)\/(-70).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -20252\/111 equal to -181?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/p**(-5))\/p*((p\/p**(2\/17))\/p)\/p)\/(p**(2\/7)\/p)**7*(p**0)**(10\/3)\/(p**1)**(-22) assuming p is positive.\nAnswer: p**(525\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 12453402 to the nearest integer?\nAnswer: 3529","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = d**3 - 8*d**2 + 1379*d + 7239. Give q(-5).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1989 in -4, 5, -17, -5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -160 - -163. Sort -1, 1, s, -9.\nAnswer: -9, -1, 1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24182 is divided by 491.\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 5*t - 5*k, 5*t + 4*k + 9 = 42. Suppose t*d = 15 + 10. Which is smaller: 6 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/3312956 (b) -137 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 759\/7 or 109?\nAnswer: 109","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-1\/14)*m\/(m\/(m\/(m*m*m\/(m*m**(-2\/11)*m)))))**(-5\/6)*((m*m**2\/m)\/m**3)**(1\/9) assuming m is positive.\nAnswer: m**(277\/2772)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 91750 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 10 + 1. What is the remainder when 32 is divided by h?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2352*j - 60*j**5 - 844*j**4 - 178 - 3188*j**3 + 22481*j**2 - 254 - 26805*j**2 = 0. Calculate j.\nAnswer: -9, -3, -1, -2\/3, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1731 + 1728. Which is the closest to 0.05? (a) -8 (b) v (c) -4\/7 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000008696304 to six dps.\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that -9*j**4 + 7248*j**3 - 52689*j**2 + 16758*j = 0.\nAnswer: 0, 1\/3, 7, 798","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -30592086 divided by 6.\nAnswer: -5098681","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 319702*x**4*z - 11*x**3*z**2 + 8*x + 44624*z**2 wrt x?\nAnswer: 3836424*x**2*z - 66*x*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that 4*f**5 + 80*f**4 + 68*f**3 - 2120*f**2 + 3264*f = 0.\nAnswer: -17, -8, 0, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 4*q - 49 = -8*w, 2*w + 2*q = 34. Suppose -3*y + 11 = -w. Suppose -z = 3*z - y. Solve 4*j - 30 = -z*p, -5*p = -j - 4*j for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1130 (base 7) to base 4\nAnswer: -12131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/14*(-3465)\/1650?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -47*c**3 + 2*c**3 + 4*c**3 - 9*c**3 - 297*c**3.\nAnswer: -347*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1)\/5 + (-52)\/(-10). Let l = 16 - f. Suppose -5*j + 14 = -l. List the prime factors of j.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -45, -51, -5, 99, 267?\nAnswer: 505","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 13022157*g*z - g - 276163*z - 99 wrt g?\nAnswer: 13022157*z - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11002111122 - 1002?\nAnswer: 11002110120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 797*h + 279 = 8249 for h.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 124911957 and 122?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3037310 and 1910.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4308)\/(-718))\/((-50)\/(-15))?\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Do -1\/538 and -442 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 10 and 1925.\nAnswer: 3850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 1 - 16 = 0. Let g(q) = q**2 + 0*q**3 + 4*q**3 - 5*q**3. Let a be g(0). Solve a = x*y + 15 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n - 3*b - 22 = 2*b, -22 = -2*n + 4*b for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-21)\/(-14) - (-99)\/6. Solve -u + 3 = -5*d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -11*s + 33. Calculate x(20).\nAnswer: -187","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.33816 + 6.\nAnswer: 6.33816","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) be the first derivative of w**3\/18 + 2*w**2 + 22*w\/3 + 85. Factor l(b).\nAnswer: (b + 2)*(b + 22)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 4*a = -1196, k + 0*k - 5*a - 598 = 0. What is the tens digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 826125?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 6*a - 88 = 0. Calculate the remainder when 31 is divided by a.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -82*b + 107*b = 100. Suppose -b*d + 5*u - 3*u = -10, 4*d + 4*u = -20. Are 2 and d equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in d + 14*d - 1 + 23*d + 7*d.\nAnswer: 45*d - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7457*u - 229*u**2 - 835*u**4 - 10 + 7456*u + 3*u**6 + 232*u**2 wrt u.\nAnswer: 360*u**3 - 20040*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 less than -466?\nAnswer: -465.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:45 AM and 11:09 AM?\nAnswer: 324","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -133322 (base 4) to base 5.\nAnswer: -31132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -17*r**5 + 16*r**4 + 15*r**2 - 297*r + 2 wrt r.\nAnswer: -340*r**3 + 192*r**2 + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qx when two letters picked without replacement from {e: 3, q: 6, u: 2, x: 1}?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -2*s. Let l(n) = 7384*n**2. Determine l(y(c)).\nAnswer: 29536*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 k when two letters picked without replacement from {k: 3, y: 1, l: 2, s: 1, z: 5, i: 3}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*p**2 - 5*p + 5*p)*(2*p + p**2 - 2*p) + (-p**3 - p**2 + p**2)*(-80*p - 81*p - 6*p).\nAnswer: 165*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -57\/38920 and -3\/368350.\nAnswer: 10313800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 380, 1558, 3522, 6272, 9808, 14130?\n\"Answer: 393*h**2 - h - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -62 + 2*n**3 - 4*n**3 + 24*n**2 - 5*n - 8*n + 3*n**3 - 43*n. Does 14 divide j(-26)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (2 + ((-3*sqrt(200) - sqrt(200)) + sqrt(200) + sqrt(200) - sqrt(200))\/(((sqrt(4) - sqrt(24)\/sqrt(6)) + sqrt(4))*-4))**2 + 1.\nAnswer: 15*sqrt(2) + 225\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 261252.756 nanoseconds in days?\nAnswer: 0.00000000302375875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the first derivative of -2*o**3\/3 + 8. Let r(u) = 822*u. Give r(l(h)).\nAnswer: -1644*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/3532, 0.7, -10735 in descending order.\nAnswer: 0.7, 1\/3532, -10735","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q**3 - 10*q**2 + 10*q - 9. Suppose 59 = 6*d + 5. Let a be f(d). Let 0 + 0*n**3 - 2\/11*n**4 + 0*n**2 + a*n = 0. What is n?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 315054 to the power of 1\/3, to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 6*o**2 - 33*o + 27. What is the tens digit of n(11)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 u when three letters picked without replacement from uuufuucfbuabufbfbg.\nAnswer: 35\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + 20 - (7 + 29)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2547746ng in kilograms?\nAnswer: 0.0000000000002547746","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = 73 - 13. Let u be o*(-1)\/5*2. Let w = 18 - u. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10011100010000 (base 2) in base 6?\nAnswer: -114144","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4*z + 4)*(-15*z + 20*z - 9*z).\nAnswer: -16*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6297387 by 2099129.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 29 = -9. Let l(v) = -7*v - 2. Let p(d) = 13*d + 3. Let t(m) = a*l(m) - 3*p(m). What is t(-2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (32 + 23 - 53 - 106*j)*(2*j - 4*j + 0*j).\nAnswer: 212*j**2 - 4*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1 + 50. Let y(r) = -2*r**2 + r + 33. Let u(o) = o**2 - o - 17. Let k(x) = -11*u(x) - 6*y(x). What is the remainder when i is divided by k(-8)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -678e70 (base 16) to base 14.\nAnswer: -c893c4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -454 - 23012?\nAnswer: -23510","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 35 in -2\/7, 1, 14, 7?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -108*i + i**3 + 21*i + 7*i + 0 + 0 + 23*i + 42*i.\nAnswer: i**3 - 15*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 1008 + 294 = 0. Let y(u) = 2*u**2 + 197*u - 663. Let v be y(-102). Calculate the highest common factor of f and v.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.4 (b) -2 (c) 1\/3 (d) -3\/2 (e) 1\/8\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 0 - 11)*(-8 - 3*m + 14 + 7).\nAnswer: 39*m - 169","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/(-32))\/((-2)\/(-4))?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1*-4 - (-23 - 3). What is the greatest common divisor of t and 154?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 0.04 (b) 1 (c) 1\/3 (d) -4 (e) 5 (f) 591845\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 69\/(-60)*(-252)\/(-2898).\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 16.3 (b) 11 (c) -0.34 (d) 1\/225\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -150 (base 6) to base 4.\nAnswer: -1002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/2 (b) -69 (c) -1\/6 (d) 8.52 (e) -4\/5 (f) -0.03\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3 - -59153?\nAnswer: 59150","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 80\/381257?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 215 is divided by 85.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0 - (-1)\/1 - -1. Let n = 409617 - 409603. Solve -3*m = -w*u + n - 0, -u = m + 3 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + -25 - (14 + 1 + -13 + 2).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1 + (-2494)\/(-26) + 0. Let b = d + -3703\/26. Find the common denominator of b and 38\/9.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 13 = f, -3*f - 5*y - 8 = -55. What is the units digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:10 PM and 3:51 PM?\nAnswer: 41","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k**2 + 50678121*k + 101356230 = 0. Calculate k.\nAnswer: -16892705, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 37 is divided by 25?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 13010368?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 204842 to the power of 1\/4, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 0 + 13 + d + 6. Let q be a(-9). Solve -4*w + 5*w = m - 6, -w - q = -5*m for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -c (base 15) to base 12\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -2, 1\/8, -4, -154?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 1, e: 1, g: 1, m: 1, r: 1}. What is prob of sequence gme?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1.7 + 7.3. Let k be (-2)\/3*((-1022)\/(-28) + -26) + 11. Sort 0.4, k, -0.3, a in increasing order.\nAnswer: -0.3, 0.4, k, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(128) + 0)*5 - sqrt(128)) + 3 + (sqrt(8) - (sqrt(8) + sqrt(8) + 0))**2.\nAnswer: 11 + 32*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -g**2 - 20*g + 31. Let h be d(-21). Suppose 0 = -2*a + 3*a - 4. Let x = h - a. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -3*y**3 + 110*y**2 - 88*y + 551. Calculate i(36).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -177644*-2.396.\nAnswer: 425635.024","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 6*o + 85 = 10*o, 2*g - 62 = 4*o. Let h(x) = -x**3 + 20*x**2 + 18*x + 65. Let f be h(g). Solve -4 = 2*p + f*p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -r - 3*r - 3*r to the form d*r + o and give d.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -9*j + 7. Let h be k(-5). What is the hundreds digit of 2012\/6*13\/(h\/6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the second derivative of -u + 1\/12*u**4 + u**3 + 0 + u**2. Let i be a(-6). Is i >= 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.00283 * -5\nAnswer: -0.01415","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 20174 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gg when two letters picked without replacement from agawzgaaaaaagzgazawg.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 128 + 144 = 0. Suppose -3*y = 2*y + 10. Let m = y + z. Put 1, -2, m in increasing order.\nAnswer: -2, 1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 66 = d - 18. Let i be 0 - (-127 + 3 + 0). Suppose -d = -4*q + i. Calculate the remainder when q is divided by 18.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 3790054, 15160191, 34110428, 60640771, 94751226, 136441799, 185712496, 242563323?\n\"Answer: p**3 + 3790044*p**2 - 2*p + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3 + 11. Suppose c + 84 = o*c. Suppose -15 = -4*t + 117. What is the remainder when t is divided by c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 208246 divided by 208246.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 2247*d**2 - 42*d. Let i(r) = -18*r - 2. Calculate u(i(f)).\nAnswer: 728028*f**2 + 162540*f + 9072","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + (-4 - -9) + 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 36376.5685 and 0.5?\nAnswer: 18188.28425","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/21)\/((-16)\/(-336)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 0.1, 2\/41, -4, 141, -0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i = -109 + 119 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 3\/25 of a week?\nAnswer: 72576","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve k + 10*k = 22 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -23 + 18. Let z = 0.02 - 2.02. Which is the biggest value? (a) y (b) 3\/2 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwlblb. Give prob of picking 1 b and 1 w.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10571617.\nAnswer: 7, 227, 6653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6905, 6909, 6915, 6923?\nAnswer: 6933","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 4864.36 millilitres?\nAnswer: 4.86436","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0 + -3*(-1)\/5. Let d = -0.07 + -0.03. Let t = -3 - -7. What is the nearest to d in 3, t, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r - w + 10 = 2*w, w - 10 = 4*r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 46654561 (base 7) to base 9\nAnswer: 7661117","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5201298.\nAnswer: 2, 3, 101, 2861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = j - 52. Calculate y(51).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 139 minutes after 11:41 PM?\nAnswer: 2:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*i + 5*f = -39*i + 5, 2*i + 3*f = -2 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(567)*-2 - (0 + sqrt(567)*-2))*2)**2.\nAnswer: 81648","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2bb6 + 5578?\nAnswer: 2582","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 118689 is divided by 101.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 90266665, 180533328, 270799991, 361066654, 451333317?\n\"Answer: 90266663*f + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 16*a**3 - 334*a**2 - 344*a**2 - a + 678*a**2 + 14 to the form k*a**3 + d*a**2 + y + p*a and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a = j + 14, a - 1 = -2*j + 6 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 446, 1242, 2394, 4082, 6486?\nAnswer: 9786","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = -5*u - 57, 4*u = 3*c + 13 - 52. Let d = u + 17. What is the least common multiple of 7 and d?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 92 minutes before 12:49 PM?\nAnswer: 11:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 7 + (-4 - (-3 + 2)). Suppose -s + x*y = 5*y - 47, -4*s = -3*y - 181. What is the units digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y when two letters picked without replacement from {y: 8, o: 2}?\nAnswer: 28\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j = -4*j + 8. Suppose 3*g - 17 = -3*d + 4*d, 5*g = -j*d + 10. Solve 5*b - 1 = f + 23, 0 = -5*f - g*b - 4 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 3*l**2 + 28*l + 2. Let r be x(-9). Let b(w) = 9*w**3 - 9*w**2 + 1. Let h be b(r). Let k = -720 - h. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-190)\/5*3\/56. Let o = u - 138\/7. Calculate the common denominator of 19\/9 and o.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/(1170\/1644) + (-77)\/1001?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*w + 518 = -14*w + 51*w for w.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*r - 40*r - 6542 = -3*z, 0 = 5*z + 3*r - 10935. What is the units digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -99 divided by -540660?\nAnswer: 33\/180220","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 79\/12 and (-10)\/2 - ((-3519)\/180 + 10)?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:01 PM and 5:40 AM?\nAnswer: 399","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Product of -314314 and -21.\nAnswer: 6600594","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 915, 1216, 1509, 1794, 2071, 2340?\nAnswer: 2601","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (2\/(-56))\/((-4)\/408) - 4. Let y = -4\/21 - x. Is 0 > y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 1, -215, -677, -1421, -2483?\n\"Answer: -6*f**3 - 87*f**2 + 87*f + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 4 = 4*b - 4, 4*p + 10 = 5*b. Suppose -18 = -b*m - m. Calculate the least common multiple of (4\/m)\/((-2)\/(-6)) and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4269*(4 + -6))\/(-17). Let g = o + 502. Which is smaller: g or 0?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9079561 times 3\nAnswer: -27238683","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the first derivative of 47*l**5\/30 - 121*l**4\/24 + l**3\/3 + 142. Let q(n) be the third derivative of c(n). Differentiate q(x) wrt x.\nAnswer: 188","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 2*a**2 + 3*a - 12. Let u = -9 + 11. Suppose u*l + 48 = -5*x - 2*l, 3*x - 3*l + 18 = 0. What is the remainder when w(x) is divided by 19?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -146*t - 22553 - 6483 = 333*t - 5086 for t.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 1, o: 3, s: 1}. What is prob of sequence svo?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -8*w**2 + 4*w + 2. Let q be f(-1). Let h(m) = -m**3 - 10*m**2 + m - 4. Determine h(q).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 108*n**3*r**2*z**2 + 656*n**3*r**2 + 8*n**2*r*z - 18*n*r**2*z**2 + 14*n*z**2 - 3*z**2 wrt n.\nAnswer: 648*r**2*z**2 + 3936*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve p = -y - 6, -p = -5*y - 12 - 0 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 83889360 a multiple of 592?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -18887693*v**6 + 21*v**2 - 15*v + 1154.\nAnswer: -2266523160*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 15 - 10. Factor 2*x**3 + 3*x**3 - 7*x**4 + x**2 - 2*x**2 + 3*x**n.\nAnswer: x**2*(x - 1)**2*(3*x - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the second derivative of s**4\/8 + 3*s**2\/2 + 6*s. Let q(y) be the first derivative of r(y). Let x(v) = -2*v. Calculate q(x(n)).\nAnswer: -6*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 468 and 558.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4327 * -2.\nAnswer: 8654","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -6*h - 149. Give x(-28).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0 + 2. Suppose -5*z + 25 = l*v, z = -3*v - z + 21. Suppose -v*w = 27 - 77. Is w a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -g - 5. Let n = -5 + 7. Let y(i) = 0*i + 1 - n - i. Let q(m) = -j(m) + 3*y(m). Differentiate q(c) with respect to c.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 62*u**2 - 4*u + 12. Let q(d) = 125*d**2 - 9*d + 25. Let i(f) = -5*c(f) + 2*q(f). Let s be i(-5). What is s rounded to the nearest 100?\nAnswer: -1500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -55*m + 10 = -53*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-846)\/3*(15\/24)\/(3450\/920)?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -13, -42, -109, -232, -429?\n\"Answer: -3*w**3 - w**2 - 5*w - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 92.36375 micrometers to nanometers.\nAnswer: 92363.75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 37\/814600 and 67\/1200.\nAnswer: 4887600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -20 + 25. Suppose -u - p = -43. What are the prime factors of u?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 228670.3 nanometers?\nAnswer: 0.0002286703","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = p**2 + 7918*p - 753136. Determine g(94).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41 - 59 = -2*n. What is the second derivative of 2*d - n*d**3 - 6 - 5*d**2 + d - 2 + 2*d**2 wrt d?\nAnswer: -300*d - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = x**2 - 8*x + 8. Let t be i(6). Let o be 34\/t - (-5)\/10. Let a = o + 16. List the prime factors of a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -153*n + 449*n - 149*n - 1 - 149*n.\nAnswer: -2*n - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 44\/10 - (-110)\/(-275). Solve 0 = -f*j - 8, -4*u + u + 22 = -5*j for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7.66116 + -8.3613. Let p = -3 + 3.7. Let m = q + p. Round m to 5 decimal places.\nAnswer: -0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -796 + 208. Suppose 272*v = 268*v - 44. Let l be c\/(-154) + (-2)\/v. Solve l*k = -11 - 1 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -3*n**2 + 3*n - 3*n. Let x(k) = 2*k + k - 12*k + 6*k + 6*k. Calculate x(b(q)).\nAnswer: -9*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = 144 + 21. Let a = -32 + n. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = 8, 3*b = b - 5*m + 36. Suppose 0 = 4*n + 3*f - 4, 3*f - 4 = -4*n + b*f. Solve 2*u - n = 3*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -7 - -10. Let u(r) = -117 + c*r**2 + 117. Let t(i) = -7*i. Calculate t(u(y)).\nAnswer: -21*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -960*f + 1005*f + 3330 = 0 for f.\nAnswer: -74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.4*-1.528936.\nAnswer: -0.6115744","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: -18.6 * -46\nAnswer: 855.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 2427 to the power of 1\/2, to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -81*j + 13. Suppose 33 = -5*v + 13. List the prime factors of b(v).\nAnswer: 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1888 a factor of 534221098?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r when two letters picked without replacement from swwsrwrwrwmmwwrrjrrr.\nAnswer: 14\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:21 PM and 8:22 AM?\nAnswer: 661","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -k**3 + 3*k**2 - 7*k + 46. Determine t(4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1835? (a) 1\/4 (b) 8 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*(sqrt(288) + 3) - sqrt(288)) + (sqrt(288) - -1*sqrt(288))*-2 - (2 + (sqrt(288) + sqrt(288) + 2 + sqrt(288)*-3)*3))**2.\nAnswer: 1344*sqrt(2) + 4804","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -15 + -15323523?\nAnswer: -15323542","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7.21 - 7.51. Which is the closest to 17? (a) -3 (b) n (c) 1 (d) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*q**2 + q**2 + 3*q**2)*(0*q**2 + 2*q**2 - 4*q**2) + 75*q**3 - 75*q**3 + 21*q**4.\nAnswer: 27*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10 (base 6) to base 5.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-111)\/(-74))\/((-3)\/10). Sort 5, -3440, p in ascending order.\nAnswer: -3440, p, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-3897)\/(-405) - (-10)\/(-45))*(-5)\/(-1). Suppose r = 2*a - 5*a, -r + a + 16 = 0. Let o = y + r. List the prime factors of o.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 36\/351*9\/(-6)*1?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.3 and -2708074.\nAnswer: -812422.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the second derivative of p**5\/20 - p**4\/6 - p**3\/6 + 33*p**2\/2 - 16*p. Is 7 a factor of d(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -p**2 + 2*p**2 + p**2 + 2*p**4 + 2 - p as l*p + o*p**4 + v + u*p**3 + i*p**2 and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/5 in 121, -2\/7, 3?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 39 + 6.4. Let a = c + 11.6. Let b = a - 56.8. What is the closest to 0.2 in 0.1, -2, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 310 minutes after 2:34 PM?\nAnswer: 7:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -142 - -171. Suppose 0 = 2*x + 3*x + 10, 2*q - 2*x - 406 = 0. Calculate the remainder when q is divided by h.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -14 - 1043065?\nAnswer: -1043101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x when two letters picked without replacement from xxrxxrxxxxxxx.\nAnswer: 55\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1)\/((-2)\/152*2). Let v = -0.557 - -0.657. Suppose 0 = -3*x - 0*x - g - 5, 4*x = 2*g. What is the closest to 1\/2 in v, x, j?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 490651422 a multiple of 2199?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2dbb - -3362?\nAnswer: 611d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 8382081?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 43719989 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3.99 + -0.01. Let h = -5 + 17. Let z be (8\/h)\/(2\/6). Which is the biggest value? (a) z (b) -1 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(5\/2))**(-26) assuming i is positive.\nAnswer: i**(-65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 25 + -25. Suppose d - 22 = -4*k, 3*d - 6 = -0. Sort k, l, 2, -7 in descending order.\nAnswer: k, 2, l, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5780505.6 nanoseconds to days.\nAnswer: 0.000000066904","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.6 + 5.6. Let w be 4\/14 + (-694)\/812. Let v = w + 2\/29. Put v, 0.2, u in ascending order.\nAnswer: v, 0.2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2 + 20\/(-16) + (-153)\/(-36). Let h = 17 - 24. Let r(b) = b**2 + 4*b - 14. Let m(i) = -i**2 - 3*i + 13. Let f(s) = h*m(s) - 6*r(s). What is f(x)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 479960*v - 479930*v - 1320 = 0 for v.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -224*g + 14. Let f(w) = 22*w. Let s(a) = 10*f(a) + z(a). Give s(6).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = 2*r - 0*r + 2, 5*n - 38 = -4*r. Suppose 3*v - 6*v = n. Let u be v\/(-4) - 230\/(-20). Solve -b - u = -5*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 221 is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the third derivative of -3*k**5\/20 - k**4\/24 + k**3\/3 - 2*k**2. Let f be i(-2). Is 8\/f + (-202)\/(-8) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 36 and 972.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -5*g + 31. Suppose -2*t + 4*m - 13 = -m, -5*t - 5*m - 120 = 0. What are the prime factors of s(t)?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 261*p = -19 - 1276 - 1054 for p.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 4, -7, -5, 5, 2\/3373283.\nAnswer: -7, -5, 2\/3373283, 3, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/38? (a) 2 (b) -12 (c) -1\/3 (d) -1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xaajaaaqaqqfxjo. Give prob of picking 1 x and 1 f.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2dbac5 (base 16) to base 4.\nAnswer: 23123223011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 10.97 + -9.97. Which is the smallest value? (a) -6 (b) 3 (c) h (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -6*z**3 - 86*z**2 + 30*z - 66. Let b(p) = p**3 + 17*p**2 - 6*p + 13. Let v(r) = -11*b(r) - 2*q(r). Is v(16) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(0 + 1 + sqrt(171) - (-1*sqrt(171) + -4)))**2 + -3 + 2.\nAnswer: 960*sqrt(19) + 11343","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1150 - -1159. What is the second smallest value in 4, -8, h?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 19, 28, 35, 40, 43?\n\"Answer: -z**2 + 12*z + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the third derivative of 0*j + 31\/24*j**4 + 0 - 10*j**2 + 0*j**3. Let s(p) = 2*p**2. What is z(s(c))?\nAnswer: 62*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:07 PM and 12:08 AM?\nAnswer: 481","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 30352 + -18014. Is s a multiple of 62?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 89 in -2, 5.52, 2, -5, 1\/5, 0?\nAnswer: 5.52","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.5 (b) 0.223 (c) 0.05 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -413*x**2 + 881*x**2 - 442*x**2.\nAnswer: 26*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -33 by -10.\nAnswer: 33\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -61*o - 1779. Give n(-31).\nAnswer: 112","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 795 divided by -2353\nAnswer: -795\/2353","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = 5*m - 1072, 2*m + 4*a - 294 = 138. What is the remainder when m is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -q**2 - q. Let n(u) = u**3 + u**2 - 1. Let k(c) = -n(c) - 2*x(c). Let z be k(3). Let l be z\/((-33)\/100)*-600000. Round l to the nearest one million.\nAnswer: -20000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = y**3 - y - 5. Let q(d) = 123*d**4 - 8*d**3 + 8*d + 299. Let i(o) = -5*q(o) - 40*t(o). What is the derivative of i(l) wrt l?\nAnswer: -2460*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a meter in micrometers?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6826894 is divided by 18.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 11467?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -14095, -56353, -126783, -225385, -352159?\n\"Answer: -14086*q**2 - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-5740)\/5726 + -1 + 2. Is -1 > u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2538880 to the nearest ten thousand.\nAnswer: -2540000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 6.34601 from -0.5.\nAnswer: -6.84601","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -4*1*-1*(-1 - -2) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 11 + -6. Let a(w) = -w**2 + 9*w + 10. Let h be a(10). Let c = -1.4 + 1.7. What is the closest to h in p, 3, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 154969.0000164914 + -154969. What is j rounded to seven dps?\nAnswer: 0.0000165","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27752838*l + 71 - 71 + 27752869*l.\nAnswer: 31*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1 * 98.840922.\nAnswer: 98.840922","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 15 + 5 = 0. Which is the third biggest value? (a) -2 (b) 5 (c) -0.1 (d) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-11)\/66)\/((-14)\/21). Which is the nearest to -3? (a) 0 (b) k (c) 1\/2 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1101000111100 - 100101100110?\nAnswer: -10001110100010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 3*z**2 - z - 3. What is the remainder when v(-6) is divided by (((-12)\/(-9))\/(8\/62))\/((-1)\/(-3))?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = j**2 + 5*j + 4. Let f be (7\/14)\/(5\/510). Suppose -7*v = -9 + f. Give y(v).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4.4 + -0.6. Let t = 8 - 7.3. Let x = 0.8 - t. Are x and f non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 157040672 to the power of 1\/4, to the nearest integer?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 10*f**3 - 12144225 - 6*f**3 - 2*f + f**2 + 12144818 as d*f**3 + s*f + t*f**2 + x and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 531*a + 605 - 109 = -35. Let y be -3 + 2 + (-5)\/(-4). What is the closest to -2\/3 in y, a, 4\/7, 0.2?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -241750 and 128.6505.\nAnswer: -241621.3495","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -41*n - 38. What is the units digit of k(-9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 645 + 28. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 724021025 to the power of 1\/4, to the nearest integer?\nAnswer: 164","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 3*u**2 + 3. Let l be 5*4\/10*3. Let m(y) = -y**2. Let c(h) = l*m(h) + x(h). Factor c(n).\nAnswer: -3*(n - 1)*(n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*r**3*s**2 + 2*r**3*s + 13407*r**2*s**2*z**2 + 1087*r**2*s*z**2 - r*s*z + r wrt s?\nAnswer: -4*r**3 + 26814*r**2*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2.695 + -2.7. Let h = -0.5 - -0.524. Let r = z - h. Round r to 2 dps.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 60 is divided by 5.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2761.\nAnswer: 11, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -8793479*t**3 - 4515725*t**2?\nAnswer: -52760874","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 17808 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the first derivative of -23*l**5\/5 + 15*l**4\/4 - 114*l**2 + 2*l + 300. What is the second derivative of u(a) wrt a?\nAnswer: -276*a**2 + 90*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 11*w**3 + w**2. Let c(q) = q**2. Let n be (-1 - (-4)\/6)\/(44\/132). Give n*c(y) + v(y).\nAnswer: 11*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.1 and 2.83723.\nAnswer: 0.283723","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1069803.\nAnswer: 3, 7, 16981","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 213843?\nAnswer: 3, 7, 17, 599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 3105 to the power of 1\/2, to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 491959865?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f + 5*j = 40, -13 + 52 = -3*f + 4*j for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*g**4 + 448356298*g**2 + 697894332?\nAnswer: -8*g**3 + 896712596*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 17*h*v*z**3 - h*v*z**2 + h*z**3 + 18*h*z**2 + v*z**3 - v*z**2 - 7*z**3 - 28*z**2 wrt z?\nAnswer: 102*h*v + 6*h + 6*v - 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-7020)\/(-160))\/27)\/((-40)\/(-64))?\nAnswer: 13\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 207 minutes after 5:55 PM?\nAnswer: 9:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -4*k - 1150. Let n(m) = -6*m - 1727. What is 5*n(v) - 7*y(v)?\nAnswer: -2*v - 585","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (3 + 164\/(-60))\/(89\/534)\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that 5*r**2 + 6307515*r - 44152850 = 0.\nAnswer: -1261510, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -g**2 + 6*g. Let d be i(5). Let n be (-9)\/21 + (-538)\/(-14). Suppose r = -q + d, -3*q + 4*r - 9 = -n. Is 8 >= q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3880*j**3 - 7743*j**3 + 3865*j**3.\nAnswer: 2*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) 4 (b) -4 (c) 2 (d) 1.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 11043066 a multiple of 980?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange -34*m**2 - 17*m**2 - 3*m**2 to the form g*m**2 + b*m + j and give g.\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 13) in base 14?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 40461?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -x**4 - 2067*x**3 - 1424163*x**2 - 327082769*x.\nAnswer: -x*(x + 689)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -1691.78998 to the nearest 10.\nAnswer: -1690","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 12 + 2*i + 46 - 2*i + 5*i - 45 in the form j*i + w and give j.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*c + c**2 - 12*c**3 + 17*c**3 + 19*c**3 + 12*c**3 in the form a*c**2 + w + d*c**3 + f*c and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -y**2 - y**3 + 53 + 0*y**2 - 3*y - 51 in the form o + k*y**2 + i*y**3 + t*y and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0249851 millimeters in micrometers?\nAnswer: 24.9851","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 398\/(-168) - (14 - 16). Let p = g - -1\/28. Which is the nearest to 0? (a) p (b) -0.5 (c) -0.12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*s**2 + 359114*s - 14008488.\nAnswer: 2*(s - 39)*(s + 179596)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3 + 3. Let b be 34\/8 + f\/8. Suppose -y - y + d = -12, -12 = y - b*d. Solve l + y = -l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 62676 (base 9) to base 6\nAnswer: 515323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 47706 a multiple of 46?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 50?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -19563071 + 2?\nAnswer: -19563069","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 55101 is divided by 123.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.3 and 46.\nAnswer: 13.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide (-1 + 2)*57\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 67 - 335?\nAnswer: -268","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -68884 divided by 4?\nAnswer: -17221","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 603499946 to the nearest integer?\nAnswer: 24566","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.1 + 0. Let y = -6.065 + 0.065. Let w be (1\/(1 - 4))\/1*1. What is the closest to 1 in m, w, y?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 divided by -86?\nAnswer: -22\/43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 11 + -3. What is the lowest common multiple of -21*(-3)\/9 - -1 and l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 k when two letters picked without replacement from {c: 7, w: 10, k: 1}.\nAnswer: 7\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Are -611 and -610 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.04 - -0.04. Let a be (-12)\/16 + 0\/(-2). What is the smallest value in o, a, 5?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 270 and 1009170.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2083 rounded to 1 dp?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*r = -4*b + 18*r - 19, 2*b + 17 = -5*r for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*m**3\/4 + 236*m**2 - 514481*m - 1029896 = 0. Calculate m.\nAnswer: -742, -2, 2776\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -54? (a) 0 (b) 2\/7 (c) 12\/37 (d) 97\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 12354 (base 6) in base 9?\nAnswer: 2507","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 23, 96, 217, 386, 603, 868, 1181?\n\"Answer: 24*f**2 + f - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4)\/(-1 - (-1 + -1)). Suppose 3*v + 32 = -v. Let c be (6\/v)\/((-24)\/64). What is the second biggest value in 5\/4, x, c?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 330 - (-248245)\/(-758) - ((-1)\/(-3) - (-191)\/(-6))?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dpnbn. What is prob of sequence bnpn?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.06 (b) -0.4 (c) -1.5 (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*k**4\/4 - 275*k**3\/4 - 370*k**2 - 300*k.\nAnswer: 5*k*(k - 60)*(k + 1)*(k + 4)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + 3*t**2)*(t**2 - 2*t**2 + 0*t**2) - 9*t**3 + 7745*t + t**4 - 7745*t.\nAnswer: -2*t**4 - 9*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -644*j - 34554 + j**2 + 644*j.\nAnswer: j**2 - 34554","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 411 and 18?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2151 = 19*h + 2056 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = 2*d - 6*d. Suppose d*h - 148 = -2*r + 5*r, 2*r + 118 = 4*h. What is the tens digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 2 + 3)*(-1 + y**4 + 1) + 4*y**4 + 12*y + 5712*y**2 + y - 5727*y**2.\nAnswer: 3*y**4 - 15*y**2 + 13*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(34)\/(sqrt(8)\/sqrt(4)) - (sqrt(17) + 0)**2*6.\nAnswer: -102 + sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 87\/170 and 16\/59925.\nAnswer: 119850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 326555 greater than 326556?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -20337*d + 143. Let f be k(39). Round f to the nearest one hundred thousand.\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:56 PM and 1:17 AM?\nAnswer: 141","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 628 minutes after 2:37 AM?\nAnswer: 1:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 2*h - 4. Let r be x(4). Let l(f) = f**3 - 4*f**2 - 6*f + 1. Let z be l(r). What is z rounded to the nearest ten?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = h**3 - 3*h**2 - 39*h - 7. What is the smallest common multiple of 7 and u(8)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 366, 1437, 3226, 5739, 8982, 12961, 17682?\nAnswer: 23151","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 363673 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + d = u, 5*d = -u. Suppose 2*f = -5*y + 31 + 1, -3*y + 5*f + 44 = u. Suppose -1 = 4*j - 33. Calculate the greatest common divisor of j and y.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12)\/(-392)*16\/(-120)*-10.\nAnswer: 2\/49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5 - -5.3. Let j = -0.2 - -0.6. Which is the second smallest value? (a) 1 (b) q (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -3*f**2 - 2*f - 1. Let m(w) = -w**2 - 4*w - 1. Let r be m(-4). Give c(r).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 709170307.\nAnswer: 19, 307, 121579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z = -5*m - 31, 0*z + 1 = -m - 2*z for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 117*g = -30*g + 560070. What are the prime factors of g?\nAnswer: 2, 3, 5, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -654 + 765. What is the least common multiple of j and 3?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = j**3 - 4*j**2 - 5*j. Let f be z(5). Let r = 3 - f. Suppose 28 = -r*b + 154. Is b a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, q: 1, a: 5, d: 3, m: 2}. What is prob of picking 1 r and 1 d?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = b - 2. Suppose 0 = -y + 4*f - 2, 3*f - 36 = -5*y. Give u(y).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*s**3 + 438*s**2 + 882*s + 442.\nAnswer: -2*(s - 221)*(s + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 32 - 28. Suppose y - 28 = -s*w, 8 = 3*y - y. Let d(l) = 23*l**2 - 16*l**2 - w*l**2. Let n(k) = -4*k**2. Give d(n(r)).\nAnswer: 16*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 54413 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.008850760322 to four decimal places.\nAnswer: -0.0089","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 38\/9459 and -91\/45?\nAnswer: 47295","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5933*p**2 + 4*p - 10*p + 14543*p**2.\nAnswer: 20476*p**2 - 6*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) be the second derivative of -511*h**6\/15 + 131*h**4\/12 - 2*h**3\/3 - 398*h. Find the third derivative of d(x) wrt x.\nAnswer: -24528*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.45 in -12, -3\/5, 3, -2?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 6, -5\/6, -1\/4?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 423, 2295, 6579, 14229, 26199, 43443, 66915, 97569?\n\"Answer: 159*j**3 + 252*j**2 + 3*j + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4085 and 9?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -370823, -740311, -1109799, -1479287?\n\"Answer: -369488*b - 1335","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 639*m**2 + 574*m + 2898. What are the prime factors of i(-5)?\nAnswer: 13, 1231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -f - 11. Let i be s(-6). Let m = -1 + 0. Let y = -0.13 - 2.87. What is the nearest to m in 2\/9, y, i?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1302 - -340?\nAnswer: -412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 124*t - 51. Let l(p) = 127*p - 51. Let x(z) = 4*l(z) - 3*u(z). What is the derivative of x(r) wrt r?\nAnswer: 136","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -a**3 - 39*a**2 + 17*a - 2. List the prime factors of g(-40).\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 40502, 40507, 40516, 40529, 40546?\n\"Answer: 2*f**2 - f + 40501","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mzv when three letters picked without replacement from mzzvm.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 9, u: 3, z: 4, t: 4}. What is prob of sequence zu?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 5881714432 to the nearest integer?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-6)\/4*2*10\/6. Let y(b) = -b**3 - 4*b**2 + 2*b - 6. Determine y(s).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (14 - (30 - -11)) + (4 - (4 + 0))?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 61*k + 18. Let q(o) = 112*o + 37. What is -4*q(m) + 7*t(m)?\nAnswer: -21*m - 22","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9)\/(6*(2\/24)\/((-30)\/(-45))).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 6\/10 + 52\/(-20). Let f be (224\/20)\/(h\/(-10)). Suppose 0*o + 4*o = f. What is the lowest common multiple of 10 and o?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7764?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -65*x - 116*x + 130*x.\nAnswer: -51*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + 9 + 3 - 7?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 521?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o**(17\/5)*o)\/o*o*o**(-1\/17)*o*o**(-29)*o**10)**(-14) assuming o is positive.\nAnswer: o**(15064\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 12*v**3 - 47*v + 571 - 571 wrt v?\nAnswer: 72*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (50\/(-10))\/((-2)\/(-150)). Let c be d\/(-2) - (-8)\/16. What is the derivative of -c + 192 - 5*y**4 - 4*y**4 wrt y?\nAnswer: -36*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/(-2)*(5 - 1). Let v = c + -7. Suppose 25*n - 3*f - 5 = 21*n, -f = -5*n + 20. Sort n, -1, v.\nAnswer: v, -1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(1\/4))**(35\/2))**(-2\/27) assuming i is positive.\nAnswer: i**(-35\/108)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*c**4\/9 + 8*c**3\/9 + 4*c**2\/9 - 8*c\/9 - 2\/3.\nAnswer: 2*(c - 1)*(c + 1)**2*(c + 3)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 6\/(-25 - -7) + 158\/6. Suppose -20*g - 2508 = -t*g. Is 19 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/5 + 18083\/845. What is the closest to -0.1 in -26, o, 4\/9?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1161)\/(-6) - 1\/(-2). Let t be 2\/(-5) + v\/10. Suppose 4 = -3*u + t. Solve 4*c - u = 15 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 3*g + 11. Let k = -5 - g. Suppose 0 = -k*o + 29 + 9. What are the prime factors of o?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*x**2 - 2*x**2 - 41*x**3 + 14*x**2 - 83664*x + 83664*x.\nAnswer: -41*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -136366*q*r**3*x + 39*q*r**2*x**2 - 19*r**3*x**2 + 4*r**3 + 86*r*x**2 + 154*x**2 with respect to q.\nAnswer: -136366*r**3*x + 39*r**2*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7\/15 - -3\/10. Let u = -0.07 + -0.03. Let d = -0.2 - 0.2. Which is the nearest to u? (a) d (b) x (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 2 + 5)*(2 - 3 - 2)*(-3*z + 3*z - 2*z) + 3*z + 2*z - 4*z.\nAnswer: 7*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 357\/476*38\/3 - 1\/2\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 544 a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1)\/(-3) - (-2182)\/7. Let f = -312 + h. Let w = f - 65\/42. Which is the second biggest value? (a) w (b) 0.1 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -3*l**2 - 38*l - 15. Let t be a(-15). Let m = -113 - t. Suppose -m*r = -2*r. Solve r*v + 15 = 5*v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -1252, -987, -722, -457?\n\"Answer: 265*y - 1517","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -137\/3 in 7\/2, -3, 1, -0.7?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 3232 (base 6) to base 12\nAnswer: 518","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/4, 2, -1.4, -4, -0.28, -0.2 in increasing order.\nAnswer: -4, -1.4, -0.28, -1\/4, -0.2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*x**3 + 6*x**3 - 8*x**3 + 4*x**3.\nAnswer: 5*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -19\/33171420 and 81\/10.\nAnswer: 33171420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(275) - (sqrt(275) + -2))*5 + -2)**2.\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 24344?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*a + 2*a + 1746 = 0. What are the prime factors of a?\nAnswer: 2, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -l**2 - 9*l + 11. Let c be j(-8). Suppose 5*w + c = -r - 21, 25 = 5*r. Let x(n) = -n**3 - 10*n**2 - 11*n - 11. What is the units digit of x(w)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -n**3 - 2*n + 4. Let z be c(0). Suppose 0 = -4*i + 4, z*p - 2*i + 34 = -0*p. Sort 1\/6, p, 0.3.\nAnswer: p, 1\/6, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.3 in 1, 3\/2, 2\/5, 3.3?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 bigger than 5022?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 98663 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i**3 - 3*i**2 + 21*i + 11. Suppose 0 = -153*o - 86*o - 1434. Give n(o).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of h**3 + 1024 + 763*h**4 - 159 + 906*h**4 + 262 wrt h?\nAnswer: 6676*h**3 + 3*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -c**2 + c + 2. Let i be j(-1). Suppose i = -2*m + 2*r + 11 + 295, -4*m - 5*r = -576. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 17\/115 - -4988\/1265. Calculate the common denominator of u and 1\/2*39 + 4.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 2*y**2 - 14*y - 2. Let c be d(6). Let x = -12 - c. Sort -1, -4, x.\nAnswer: -4, -1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjzzxep. What is prob of sequence px?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 16*y**6 + 6*y**6 + 9*y**2 - 24*y**2 - 23*y**2 wrt y?\nAnswer: 2640*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(66) + (-1*5*sqrt(66) + sqrt(66) - sqrt(66)))\/(-3*sqrt(150)).\nAnswer: 4*sqrt(11)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -8635 + 8641. Which is the biggest value? (a) x (b) 1\/3 (c) -1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 454 is divided by 65?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = x - 4*x. Let j(f) = f + 13. Let y be j(x). Solve 2*z - y = z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 13 and 3991?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -10*o + o**3 - 1 - 58*o**2 + 118*o**2 - 64*o**2 in the form x*o**2 + i + a*o**3 + v*o and give v.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z = 3*m - 5*z - 4, 10 = 2*m + z for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-37)\/(-4) - (3\/12)\/1. Suppose -x*i = 2238 - 8511. Is 16 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 2*j**2. Let o(g) = -99*g**2 - 297*g + 297. Let n(z) = -z + 1. Let a(b) = 297*n(b) - o(b). Calculate k(a(w)).\nAnswer: 19602*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 3*a = -1, -3*s - 8 = -6*a + 4*a. Let g(k) = 35*k**3 + k**2 + 5*k + 3. Let l be g(s). Round l to the nearest 10.\nAnswer: -280","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/a**(5\/4))\/a)\/(a**(15\/8)*a)*(a\/a**(4\/7))**(-8) assuming a is positive.\nAnswer: a**(-423\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -5929795 or -5929816?\nAnswer: -5929795","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**0\/g)**(4\/5)*(g**4\/g)\/(g\/(g\/g**(4\/3)))*(g*g**(-2\/17)*g**0)**(-8\/7) assuming g is positive.\nAnswer: g**(-253\/1785)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4 and 4496?\nAnswer: 4496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-60)\/18)\/(-2*5\/90). Suppose f*p - 24*p = 5724. What is the units digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24958223 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000039816418 to six decimal places.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 666542715 to the nearest integer?\nAnswer: 874","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2056 + 1464. Let s = x - -603. Solve 5*n = -s + 16 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = d**2 - 5*d + 2. Let j be n(5). Let l be 1\/j + (-4)\/8. Let b = 5 + l. Calculate the highest common divisor of 45 and b.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 times -0.03813?\nAnswer: 0.011439","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, 1, 1\/3, 21, 28, -132 in increasing order.\nAnswer: -132, 1\/3, 0.5, 1, 21, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -257355.14 + -0.4.\nAnswer: -257355.54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9\/42 + (-945)\/1666.\nAnswer: -6\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*q + 4*q - 2*q)*(-71 - 1 + 11) as u + c*q and give c.\nAnswer: -305","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -2672, -2717, -2762, -2807?\n\"Answer: -45*n - 2627","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1 + 0)*(2 + 74). Suppose 0 = -4*a + j + 168. What is the remainder when a is divided by 32?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 107? (a) 2 (b) -5 (c) 17 (d) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k - 15 = -3*k. Suppose -106 = -k*y + 159. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-1\/3)*w*w**(-1))\/(w\/((w\/(w\/(w*w**(-2\/3))))\/w)*w**10*w) assuming w is positive.\nAnswer: w**(-13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3*((1 - (-28)\/11) + (-708)\/1298). Solve 1 = w, 3*q + 0*w = 3*w - s for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14 - ((19 - 14) + -6 + (7 - 3))\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -104*l**3 + 35*l**3 - 61*l**3.\nAnswer: -130*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -449*f**3 + 3536*f**2*l + 20*f**2 + 6786*f*l - 10172*f wrt f?\nAnswer: -2694*f + 7072*l + 40","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + w - 46 = -3*w, 2*w - 81 = -3*r. Let p = 94 + r. What are the prime factors of p?\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -465, -408, -351, -294, -237, -180?\n\"Answer: 57*f - 522","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 81\/28 and 63\/7192.\nAnswer: 50344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 6 - 1 = 0. Let k(c) = c**3 + 13*c**2 + 38*c - 22. Let p be k(j). Solve -5*o = -20, -2*n = 3*n + o + p for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1410917?\nAnswer: 83, 89, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.09777 - -0.1081. Let x = 0.01 - o. Round x to 4 decimal places.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -13031211111103 - 2?\nAnswer: -13031211111111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -z**3 + 8*z**2 + 9*z. Suppose c + 13 = 3*r - 1, -5*r + 23 = -2*c. What is the hundreds digit of b(r)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = l**2 + 8. Let x(t) = 290*t**2 + 380*t. Calculate x(p(b)).\nAnswer: 290*b**4 + 5020*b**2 + 21600","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 - (2 + (-3)\/3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - (5 + -2 - (-3 - -2))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 10 = -2*h - 0*h, -4*i + h - 1 = 0. Let v be 3\/6 + 5\/2. Suppose -2*b + v*w = 12 - 2, 20 = -4*b - w. Sort 5, i, b in ascending order.\nAnswer: b, i, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + a = -3*a - 1946, -c = -2*a + 1001. Do -3945\/4 and c have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-2\/7))**27\/((g*g**1)\/g**4))\/((g\/(g*g\/((g\/((g\/(g\/(g\/(((g\/g**0)\/g)\/g)*g))*g)\/g*g*g))\/g)*g))**(-14\/5)*(g**(-1))**(-1\/18)) assuming g is positive.\nAnswer: g**(-15983\/630)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5876 = -2*s + 4*o, -5*s + 2*o + 356 + 14302 = 0. What is the thousands digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1300))**2*6.\nAnswer: 7800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 128, 136, 150, 170?\n\"Answer: 3*g**2 - g + 126","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + 5*(5*(sqrt(2) - sqrt(2)*-5) - sqrt(2) - sqrt(2)) + 3)**2.\nAnswer: 840*sqrt(2) + 39209","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that 50*z + 8*z**2 + 4*z**2 - 46*z = 0.\nAnswer: -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (w**2 + 2*w**2 + 3*w**2)*(-2 + 0 - 5) to the form a + h*w**2 + u*w and give h.\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t, 1 f, and 1 b when three letters picked without replacement from {t: 1, w: 1, b: 2, f: 2, v: 1}?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 7*a**2 + 4 - 8 + 2*a**3 + 0*a**2 - 3*a**2 - 2*a. Let r(o) = o**2 - 1. Let j(w) = -m(w) + 4*r(w). Factor j(s).\nAnswer: -2*s*(s - 1)*(s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -a**2 - 11*a - 8. Let l(f) = f - 2. Let u be l(-5). Let q be w(u). Suppose 28 = 4*n - c - 0*c, 0 = -5*n + 5*c + q. What is the units digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 62*p - 456 = 45*p - 40*p for p.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 429 - 303. Does 17 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1060778.754ns to weeks.\nAnswer: 0.000000001753933125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1111\/5 + -222. Let a be 8\/30*3\/(-2). What is the third smallest value in n, a, 5\/3?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, 0.7, -0.1, 3\/2.\nAnswer: -0.4, -0.1, 0.7, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = i + 16. Let a be (i\/(-10))\/(2\/(-5)). Suppose -2*g = -0*g - 8, -a*b - 3*g = -28. Solve 2*n + 3*s = 5*s + 4, 20 = -b*n - 3*s for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 9 - 39 = 3*f, 2*p - 8 = -2*f. What is the least common multiple of p and 652?\nAnswer: 1956","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1.471 - 1.371. Sort 109, u, 1, 0.3 in increasing order.\nAnswer: u, 0.3, 1, 109","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.129 (b) -0.5 (c) -0.1 (d) 2\/17\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -159.611*5.456.\nAnswer: -870.837616","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 23 minus 3755?\nAnswer: -3732","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2 + 2. Let h = 1 + 7. Let x be (-4)\/h*(-1)\/2. Which is the nearest to x? (a) -3\/4 (b) 1 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 1, 88, -5, 0 in increasing order.\nAnswer: -5, -3, 0, 1, 88","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s - 2156*b + 2158*b - 14 = 0, -3*s + 3*b - 24 = -b for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.03? (a) 3 (b) -3 (c) 3\/4 (d) 36\/6169\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x**3 + 5*x**2 + 7*x + 1. Suppose -2*m = -2*i + 2*m + 8, -2*i + 2*m = -10. Let k be u(i). What is the fourth smallest value in -4, 1\/4, k, 0?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 36635443 and -0.07.\nAnswer: 36635442.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1027 is divided by 61.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s**5\/8 + 261*s**4\/4 - 1947*s**3\/2 + 10101*s**2\/4 - 19143*s\/8 + 1551\/2 = 0. What is s?\nAnswer: -188, 1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 5*y + 57 = 6, -l + 24 = -4*y. Let n be (-9)\/(-2)*48\/l. Solve -22 = 4*s + 2*i, -n*s + 3*i = -s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1815461?\nAnswer: 1815461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = d**2 + 8497*d + 169589. Give f(-20).\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the third derivative of w**4\/24 + 491*w**2. Let c(t) = -t - 1. Determine -4*c(m) - 5*q(m).\nAnswer: -m + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 2*s + 56 = 5*s, 4*b - 56 = s. Calculate the highest common divisor of 2 and b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3 + -7. Let m = -6 - n. Which is the third smallest value? (a) 5 (b) -0.4 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 503 minutes after 7:19 AM?\nAnswer: 3:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 421137581 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (5 - 5 - 1)*-4. Suppose f*c + 5*p - 1481 = 0, 638 = 3*c + 3*p - 475. Round c to the nearest 100.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -975072902.438 + -0.1.\nAnswer: -975072902.538","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1926 a multiple of 43?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 3864407989 to the power of 1\/2, to the nearest integer?\nAnswer: 62164","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 204131419?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 7 - 1)*(-2 + 3 + 3)*(-6*k + 4*k + 4*k).\nAnswer: -48*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 16137 = -l, -80723 = -5*l + 5*v - v. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 157481909 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 245851 to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -4*m**3. Let u = 3 - 4. Let r(x) = -3*x**3 + 3*x**2 + 2*x**3 - x**2 - 2*x**2. Let y(n) = -n - 3. Let f be y(-6). Determine f*r(t) + u*p(t).\nAnswer: t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 5 (b) -2 (c) -2\/9 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 70 - 75 + 209 + i + 266 + 57 to the form z*i + m and give m.\nAnswer: 527","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 divided by 51768.\nAnswer: -1\/4314","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-j**2 + 3*j**2 - 7*j**2)*(-9 + 5 - 5)*(0 + 1 - 5)*(-28 - 37 + 22).\nAnswer: 7740*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4)\/(-26) - 595\/65. Let o = 64 + u. Is 11 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (86 - 29) + -92 + 24.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 119560.464 rounded to the nearest 1000?\nAnswer: 120000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 16854861 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1238181191 to the nearest integer?\nAnswer: 1074","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-4)\/10 - (0 + 534\/(-10))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + -5 + -1 + -5 + sqrt(208)*-2)**2.\nAnswer: 128*sqrt(13) + 896","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1 + 1)\/(6\/9). Let p(b) = b - 11 - b - b**r - 4*b + 9*b**2. What is the tens digit of p(8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 42\/(-4)*4\/3. Let r(l) = 31*l + 251. Let z be r(-8). Suppose -5*o - z*h - 2*h - 70 = 0, -o - 5*h = 10. Which is bigger: w or o?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 3, 0, -8.\nAnswer: -8, -2, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2610*o + 155 wrt o.\nAnswer: -2610","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -o**2 + 1. Let x(s) = -s + 2. Let w be x(-4). Let f be y(w). Let n = f + 39. What is the nearest to n in 0.5, -3, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.46 - 598.6867\nAnswer: -599.1467","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -2 + (-1 - -1 - 182). Let r = -124 - m. What is the highest common factor of 30 and r?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = 5*y - 25, -g = -0*g + 5*y - 5. What is the units digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 6.233783 millennia?\nAnswer: 6233.783","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(104)\/((sqrt(24) - sqrt(24)*1)\/sqrt(3) - sqrt(8)).\nAnswer: -sqrt(13) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a**(1\/2)\/a)**(-23)\/(a\/(a*(a*((a*a**(1\/3))\/a*a*a*a)\/a)\/a)*a)**(-1\/11))\/(a**3\/(a\/a**(-11)))**(-3\/16) assuming a is positive.\nAnswer: a**(-7027\/528)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0\/(0\/1 - 2). Let n = 6 + x. Let h(b) = n*b**3 - 7*b**3 - 4*b**2 - 3 + 7. What is h(-3)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1203950 a multiple of 55?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -1*(-6)\/(-10)*(-1110)\/666\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -8311*m + 240781. Determine l(29).\nAnswer: -238","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 79397263*5\nAnswer: 396986315","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -53555*l**2*z**3 + l**2*z**2 - 14*l**2*z + 273*l wrt z?\nAnswer: -321330*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 125767 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 19*l**3 + 347*l**2 - 139734*l?\nAnswer: 114*l + 694","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 325432*j**4 - 46816116*j.\nAnswer: 3905184*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4.6 + 5. Let t = -4 + 6.5. Let j = t - 0.5. Which is the third biggest value? (a) -0.2 (b) o (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -4, -0.2, 0.66?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-121)\/363)\/((-248)\/(-252) + -1)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 114*y - 27630 + 31278 = 0 for y.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -2*t - 16. Let i be q(-11). Suppose i*x - x = 50. What is the tens digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 + ((-9 - -2) + 1 - (12 - 3))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the second derivative of x**3\/6 - 33*x**2\/2 - 38*x + 14. Determine q(19).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 3*n - 3867565 = 0. Let q = n - 2710262. Suppose 6*z - q - 402697 = 0. Round z to the nearest 100000.\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1387 - 1387.3. What is the biggest value in f, -2201, -4?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = 5*m + 3*v - 15, 0 = -m - 2*v + 5. Let k(p) = 5*p + 0*p + 2*p - 2*p. What are the prime factors of k(m)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3 + -2 + (-6 - -2). Let p = -8 - w. Let b = 7 + p. What is the units digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 430 minutes after 12:30 PM?\nAnswer: 7:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 24 + 0 - (-48 + (-7 - -12))?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6\/121375 - -722788149\/485500. Suppose -w + 4499 = -3*x, -2*x - 3*w = 2*w + 3022. Let l = z + x. Calculate the common denominator of 16\/3 and l.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = 0, 0 = -3*k - 2*a + a - 36. Suppose h = -2*b + 33, 2*b = -2*h + 4*b + 42. Let f = h + k. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*d + 5*d + 1585. Let u(c) = -98*c + 1. Let g be u(-6). Suppose 4*i + 2*v = -163 + g, 3*i - v - d = 0. What is i rounded to the nearest 10?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*-6*((sqrt(68) - 4*sqrt(68)) + sqrt(68)))\/((5*sqrt(8)*4)\/sqrt(2)).\nAnswer: -9*sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by -1086637.\nAnswer: 5\/1086637","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -r**2 + 24*r + 84. Let w be n(27). Suppose 0*s - 40 = 4*s. List the prime factors of 119\/w - s\/30.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5 - 162353?\nAnswer: -162361","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 0*p = 2*t + 22, 4*p - 1 = -5*t. Let o(m) = 2*m + 0 - m**3 - 4*m + p*m**2 + 0*m**3 + 5. Calculate o(4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5 + 9*u**3 + 91*u**2 - 79*u**2 - 12*u**3 + u**6 wrt u.\nAnswer: 120*u**3 - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n + 12 - 4 = 3*u, -2*n = -4*u + 6 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5025?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/8, -12, -1\/4308, 0.022, -5, 8?\nAnswer: 0.022","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -481*h + 1097*h - 5*h**2 - 623*h - 15*h**3 to the form k*h**2 + j*h**3 + v*h + y and give k.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 604107*g**3*n - 2*g**3 + g**2*n - g*n - 48*g + 2021 wrt g?\nAnswer: 3624642*g*n - 12*g + 2*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-5)\/(p\/(p\/(p*p**(-7)*p))*p)*p**(-3\/2)\/p**(3\/2)*((p*p**(1\/3))\/p**(-1\/2))\/(p*(p**2\/p)\/p)**(-1\/23) assuming p is positive.\nAnswer: p**(-293\/138)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2 + -2 - (-3)\/(-1). Let l(t) = t - 1 - 4*t + 2*t. List the prime factors of l(f).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 14061 - -21760. List the prime factors of w.\nAnswer: 113, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1\/((-2)\/(-18)*3). Suppose r*p = -2 - 1. Let b be p\/((1 - -2)\/(-57)). What is the highest common divisor of b and 76?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:27 AM and 6:46 AM?\nAnswer: 19","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 70 - 69. Let y(s) = 1. Let x(a) = -47*a + 2. Let z(l) = g*y(l) + x(l). Is z(-8) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 504 and -0.5.\nAnswer: 503.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -6*b + 3. Let u be c(8). Let d = u - -69. What is the units digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -366 + 2?\nAnswer: -364","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 126 - 126. Which is smaller: y or 59?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1536*t + 2172600 = -14439*t for t.\nAnswer: -136","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 290, 648, 1050, 1514, 2058?\n\"Answer: 3*d**3 + 4*d**2 + 325*d - 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 5003537821 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34 = 5*y - 26. Let s be (18\/(-4))\/((-9)\/y). Solve -4*b = 0, 3*k + b + s = -4*b for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0004620017 to 7 dps.\nAnswer: -0.000462","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j*j**(-4))\/(j**(-4)*j))\/((j\/(j\/((j\/j**(-2\/9))\/j))*j)\/(j\/(j**(-3)\/j)*j)))**(-5\/6) assuming j is positive.\nAnswer: j**(-215\/54)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**5\/7 - 2*g**4\/7 - g**3\/7.\nAnswer: -g**3*(g + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4*-1 + 3\/(-27)*(-97 + 5). Factor -76\/9*g**2 + 50\/9*g**3 - 16\/9 - 16\/9*g**4 + 2\/9*g**5 + z*g.\nAnswer: 2*(g - 2)**3*(g - 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 = 5*t - 2*a, 0 = -4*t - a + 4*a + 27. Let n be 44\/24 + 1\/t. Solve n*q = -3*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*w**2 + 43716*w - 43719.\nAnswer: 3*(w - 1)*(w + 14573)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((h\/h**(-10\/3)*h*h*h)\/h*h)\/(h\/(h*h**(8\/9))))\/((h*h*h*(h*(h*h**12\/h)\/h)\/h*h)\/(h\/h**(9\/2))))**(1\/65) assuming h is positive.\nAnswer: h**(-37\/234)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1288\/(-42))\/23*(-6)\/(-76).\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 22 - (-26 + 11340\/234) - 1232\/91?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = 0, 3*j + 2*z - 5*z - 21 = 0. Let x be (-2)\/j + 3\/(-14). Which is the second smallest value? (a) 5 (b) x (c) -0.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 2, b: 4, m: 1, h: 2, s: 1}. What is prob of sequence bhh?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*s**3\/9 - 22946*s**2\/3 - 65811040*s + 592368200\/9.\nAnswer: -2*(s - 1)*(s + 17210)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/2 (b) 5 (c) 94402\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3460430135.\nAnswer: 5, 41, 311, 54277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*y**3\/3 + 70*y**2\/3 + 125*y\/3 + 20 = 0. What is y?\nAnswer: -12, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.899 times -0.06?\nAnswer: 0.05394","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n + 12. Let f be t(1). Let w be 201\/12*44\/f. What is w rounded to the nearest ten?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) 4 (b) 0.06 (c) -5 (d) -113\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 49*m + 63. Let p(a) be the third derivative of a**4\/8 + 2*a**3\/3 + a**2 - 219*a. Calculate -4*l(h) + 63*p(h).\nAnswer: -7*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.018 (b) 0.4 (c) -1184.8 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 69564699?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 7*n. Let h(t) = 1416*t. Let z(j) = 283*j. Let i(l) = -3*h(l) + 16*z(l). Let s be 532\/1064 - (-1425)\/6. Give s*g(v) - 6*i(v).\nAnswer: -14*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 101 - 99. Suppose -n*h + 30 = 4*u, -3*u + 3*h + 11 = -7. Calculate the remainder when 25 is divided by u.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 26*v**5 - v**3 + 2878*v wrt v.\nAnswer: 520*v**3 - 6*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*h = 30*h + 615 for h.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2 - -15225?\nAnswer: 15227","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/2 (b) -5 (c) -0.3 (d) 3 (e) 0.07\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + y + 6 = 0, 2*k = -0*k - 2*y - 6. Let q(t) = 3*t - 4*t + 3 - k. What is q(2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, -4, -2\/11, -11, -1 in ascending order.\nAnswer: -11, -6, -4, -1, -2\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 8*k**2 - 98*k + 98. Calculate the least common multiple of 83 and h(1).\nAnswer: 664","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 34 - 31. Let m = 162 + -84. Suppose -18 = z*s - m. Is s a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5192593262 to the power of 1\/7, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by 371.\nAnswer: -5\/371","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 times 2332450?\nAnswer: 2332450","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = 0, 4*q - m - 2*m = -4. Let d be (5\/(-3)*3)\/q. Solve -d*u - 14 = 6 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 29550?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the second derivative of 1\/16*u**4 - 1\/80*u**6 + 3\/4*u**3 + 0 - 3\/40*u**5 + 2*u - 7\/2*u**2. Let b(a) be the first derivative of l(a). Factor b(q).\nAnswer: -3*(q - 1)*(q + 1)*(q + 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 81 and 54.\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -53*q**2 + 51*q**2 - 75 - 111.\nAnswer: -2*q**2 - 186","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 33837 is divided by 441?\nAnswer: 321","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-39)\/(-52))\/(38 - -1). Is -1 at least n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -41139, -164642, -370521, -658782, -1029431, -1482474, -2017917?\n\"Answer: -l**3 - 41182*l**2 + 50*l - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -34.959 + 35. Let h = -80 + 80.669. Let r = b + h. What is r rounded to 1 dp?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3 + -1. Factor -13*a**2 + 0*a**3 - 5*a**4 - 12*a**2 + 19*a**3 - 4 - n*a**4 + 16*a + a**5.\nAnswer: (a - 2)**2*(a - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1416111184?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -241*a - 5*u + 0*u - 345 - 1322 = 0, -3*a - 17 = u for a.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3*r**3 + r**3 + 5 + r**3 wrt r.\nAnswer: 15*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -98*a + 652*a**3 + 98*a - 686*a**3.\nAnswer: -34*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 34942744 to the nearest integer?\nAnswer: 5911","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + i - 1)*(-3 + 3 - 1) - 2 + 2 - i - 3*i + i - 4*i + (5 + 2 + 0)*(-3*i + 4*i - 2*i).\nAnswer: -15*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*p**3 - p**3 - 10*p**3)*(3*p - 3*p + 3*p)*(-2 - 1 + 1).\nAnswer: 96*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 20\/(-8)*(-7)\/((-210)\/72)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -7ad6f (base 16) in base 2?\nAnswer: -1111010110101101111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 11*n = -9*n + 30, 3*k - n = 18. Let q be k - 4\/(-8)*(0 + -2). Solve -q*z = 14 + 6 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 + 24 = 4*d. Suppose -4*u - 6*q = -2*q - 16, u + 5*q = 16. Calculate the remainder when u\/((-3)\/(-63)) + -1 is divided by d.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 30*o - 63. Let l(i) = -4*i + 5. Let s(z) = 26*l(z) + 2*p(z). Determine s(-2).\nAnswer: 92","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 3*z + 5*x - 33 = 0, -23 = -2*z + 5*x. Suppose -f - 6*r + 2*r = z, 5*f = -2*r + 2. Solve -2*a + 3*a + 4*h = -12, -3*h = -2*a - f for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2399297700 to the nearest 1000000.\nAnswer: 2399000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1595 - 1454.6. Let q = j + -175. Let z = q + 31.11. Round z to one dp.\nAnswer: -3.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -15485, 0.5, 0.4, 11\/6, -4.\nAnswer: -15485, -4, 0.4, 0.5, 11\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.209 + -0.409. Let v = 29 - 28.9. What is the closest to v in -5, h, -5\/6?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3538 - -3537. Let f(k) = 16. Let t(x) = x - 1. What is w*f(h) - 16*t(h)?\nAnswer: -16*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 826 is divided by ((-5 - 4) + 6)\/((-3)\/18)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-52)\/30*1550\/(-60450)?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 20 = g, g - 3 = 2*j - 7. Let r be 2*1*(-30)\/(-4). Solve -k = -j*k - r for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = 4*f - 8. Suppose -2*x = -f*x + 18. What is the smallest common multiple of 9 and x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 11247126 by -11.\nAnswer: -1022466","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 12 and 0.568.\nAnswer: 6.816","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3.6 + 2.6. What is the closest to -0.1 in -0.1, q, 2\/9?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2386, -4791, -7196, -9601, -12006?\nAnswer: -14411","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2552.\nAnswer: 2, 11, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j**3 + 12*j**2 + 15*j - 3. Let a be y(12). Let c = a + -100. Is 18 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*y**3 - 18*y**3 - 2*y**2 - 53*y**3 + 3*y + 4*y**2 to o + f*y**2 + m*y + l*y**3 and give l.\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/11, -4, 0 in descending order.\nAnswer: 0, -3\/11, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -212*y - 96. Let v be x(-7). Let t = 2749 - v. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = z**3 + z**2 + z - 200. Suppose -3*t = -4*o - 6, 3*t = -0*t + 6. Let h be w(o). Round h to the nearest one hundred.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 5*r = -123, 5*t - 142 = 4*r + 215. Let x = t - 55. What is the greatest common factor of 42 and x?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the second derivative of -j**3\/6 - 6*j. Let r(u) = 3*u + 0*u - 4*u. Calculate r(y(p)).\nAnswer: p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/a**1*a)**(1\/7))**(17\/5) assuming a is positive.\nAnswer: a**(17\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -k**3 - 2*k**2 - 2*k - 2. Let j be o(-2). Let q be (-17)\/8 - 8\/(-4). Put q, j, -4\/7 in ascending order.\nAnswer: -4\/7, q, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 3 k when four letters picked without replacement from nnnkktkn.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -424709493*r. Let m(k) = 3*k. Give u(m(q)).\nAnswer: -1274128479*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand s - s + s**2 + (-5 + 5 + 3*s)*(-4*s + s + 0*s) + 9*s**2 - 9*s**2 + 43 - s**2.\nAnswer: -9*s**2 + 43","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 201 (base 5) in base 13?\nAnswer: 3c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -7*z**2 + 17*z - 1. Let r(a) = a**2 - 3*a. What is -h(s) - 4*r(s)?\nAnswer: 3*s**2 - 5*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 * 955.\nAnswer: -1910","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1593596, 3187230, 4780864?\nAnswer: 6374498","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -17, 221, 845, 2041, 3995, 6893?\n\"Answer: 31*k**3 + 7*k**2 - 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbbbbbbbbbbjbbbbbbbb. Give prob of sequence bjb.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.5 greater than -552011?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -77*z**2 + 26255*z + 1184. What is y(341)?\nAnswer: 502","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 10*w + 207 - 207. Suppose -8*s + 41 = 17. Calculate v(s).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 13 - -4. Calculate the remainder when 30*((-48)\/10)\/(-3) is divided by q.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.009700040502 to six dps.\nAnswer: 0.0097","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 236 and 98380.\nAnswer: 5804420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1 + -5)\/((-22)\/55). Suppose 0 = f*n - 11*n + 8. Let w = 15 + -3. What is the highest common divisor of n and w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 84, 247, 480, 771, 1108, 1479?\n\"Answer: -2*d**3 + 47*d**2 + 36*d + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the first derivative of -23*z**2\/2 - 6*z - 8. Let q(y) = 46*y + 13. Let g(v) = 13*c(v) + 6*q(v). What are the prime factors of g(-1)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -2*w**3 - 3*w**2 + 3. Let k be (-8)\/(-12)*9\/6. Let x(q) = -q**2 + 1. What is k*n(i) - 3*x(i)?\nAnswer: -2*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 35384 - 27100. What is the hundreds digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -v**3 - 7*v**2 + 8*v + 7. Calculate t(-9).\nAnswer: 97","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1340 and 20?\nAnswer: 1340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -20 + 26. Calculate the smallest common multiple of 30 and h.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 9\/12683 and 38\/8330425.\nAnswer: 91634675","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -14*c**2 + 5*c + 14*c**2 - 5 - 2 + 2*c**2. Calculate the remainder when 21 is divided by o(2).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11111000111 + 11?\nAnswer: 11111001010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 45\/4 - 5\/4*q**2 + 10*q.\nAnswer: -5*(q - 9)*(q + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((1 + 2 - 2)*(-2 + t + 2) + 0*t - t + 3*t + 3*t - 2*t - 10*t)*(-4 + t + 4 + (0 + 1 + 1)*(18*t - 31*t + 25*t)) as r*t**2 + i + n*t and give r.\nAnswer: -150","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 59885\/6 + -9957. Calculate the common denominator of -83\/604 and i.\nAnswer: 1812","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 15 - 0. Let u = -13 + 41. Calculate the remainder when u is divided by g.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 124 and 837.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -937, -953, -963, -967, -965, -957, -943?\nAnswer: -923","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 171 divide 99343134?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -2149.4 rounded to the nearest 100?\nAnswer: -2100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1, 37\/306, 0.3, -5, 3\/5, -3?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 646 minutes before 8:02 PM?\nAnswer: 9:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 690 minutes after 12:01 AM?\nAnswer: 11:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -8692 divided by 82\nAnswer: -106","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*j + 3*j - 4*j in the form g + u*j and give u.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 3 + 60269*z**2 - 60267*z**2.\nAnswer: 2*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, -2\/3, 3, 1\/3 in decreasing order.\nAnswer: 3, 1\/3, 0.2, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -1.8896618 - 4\nAnswer: -5.8896618","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 2*h. Let g(d) = -259*d - 162. What is g(j(k))?\nAnswer: -518*k - 162","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = 3*n - n, -n = -5*g - 18. Let x be (-2)\/(-4) + 161\/14. Solve -5*v - n = x for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 408\/9 + (-12)\/(-8) + 0. Let q = 42 - y. Find the common denominator of q and (-4)\/4 + (-226)\/12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5 and 0.51952.\nAnswer: -2.5976","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4*(-8)\/(-240)*-5*-12.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, b: 1, x: 2}. What is prob of picking 1 x and 1 b?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the second derivative of -3*h**5\/5 - h**4\/4 - 16*h. Find the third derivative of l(n) wrt n.\nAnswer: -72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 40 + -17 + (-10 - -2). Solve -v*w = -18*w + 18*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 45 divide 10\/(-4) - 13195\/(-58)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yuu when three letters picked without replacement from {u: 4, y: 2}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -244, -238, -230, -220?\nAnswer: -208","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 8156, 16310, 24464, 32618, 40772, 48926?\n\"Answer: 8154*a + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*l**6 - 1300*l**5 - 12*l**4 + 2*l**2 - 4371*l + 22.\nAnswer: -240*l**3 - 78000*l**2 - 288*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-31 - 34 - 7)*(0 + 0 - 2)*(-2 + 2*r + 2).\nAnswer: 288*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = y**3 - 4*y**2 + y + 5. Let c(j) = -2*j**2 + 2*j + 6. Let n be c(-5). Let z = -28 - n. Calculate the remainder when z is divided by m(4).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -27582.203 - -12.\nAnswer: -27570.203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 1. Let j(u) be the first derivative of u**2\/2 + u - 4. Suppose -6*c - 41 = -47. Let f(z) = c*s(z) - j(z). Let d(g) = 19*g. What is d(f(k))?\nAnswer: -19*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = c - 2*d, 0 = -2*c - 4*d - 1 - 3. Sort -2, 4, c, 5 in increasing order.\nAnswer: -2, c, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f = -2*p - 1066 + 1060, -3*f = -p - 3 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 83*w - 5*w**4 + 12*w**4 - 126*w**2 - 82*w in the form g*w**4 + h*w + d*w**2 + f + x*w**3 and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -85*i**3 - 2*i**2 - 2*i + 1. Let r be p(-2). Round r to the nearest 10.\nAnswer: 680","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*o - 1904 + 1904.\nAnswer: 4*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - -4) + 7 + -6 + -2\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -3*m**2. Let n be 3*((-6)\/9)\/(-1). Let f(i) = 0*i**2 + 3*i**2 + i**2 - 6*i**n. What is q(f(t))?\nAnswer: -12*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 264 = 17*h - 9*h. Does 2 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -33\/680 and 49\/3385040.\nAnswer: 3385040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6 + -4. What is the third derivative of 0*b**j - 3*b**2 - 4*b**4 + 2*b**4 + 0*b**2 wrt b?\nAnswer: -48*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the second derivative of z**4\/4 - z - 4. Let s(x) = -27*x**2. Determine c(s(q)).\nAnswer: 2187*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -819158*q**3 + 3*q**2 - 6230709*q - 1 wrt q.\nAnswer: -4914948*q + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 5*w + 121. What is the remainder when 288 is divided by i(-20)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 2*u + 0*u = 4, -8 = -r + 3*u. Let g be (-6)\/18 - (-10)\/3. Suppose 0 = 5*b + 2*o + 12, 4*b = 6*o - o - g. Sort b, r, 4 in decreasing order.\nAnswer: 4, b, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2716 to the power of 1\/3, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 272.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 150*u - 508. Let m be n(6). Calculate the highest common divisor of 168 and m.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*r - 6*r - 5*r.\nAnswer: 2*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 290854 and 55514?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dtdd. What is prob of picking 1 t and 1 d?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -5*l + 88. Let r be z(17). Let d(o) = 3*o**2 + 7. Let h(k) = k**2 + 2. Let g(c) = r*d(c) - 8*h(c). Calculate g(0).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 236312057 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 28340 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -3852*q**2. Let k(o) = -779185 + 779185 - o. Calculate k(p(v)).\nAnswer: 3852*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1\/(-2))\/((-5)\/(-70)). Let o(j) = 2*j**3 - 15*j**2 - 10*j + 8. Let a be o(8). Is h bigger than a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 586 minutes after 7:11 PM?\nAnswer: 4:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z + 75413 = 4*g + 75367, -4*z + 2*g = 38 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -34054 + -9946. What is g rounded to the nearest ten thousand?\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1687601227.\nAnswer: 13, 239, 543161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 394 is divided by 91?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 107 a factor of 87429?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.21 - 2.59. Let i = 0.2 - u. Let g = 1.9 - 3.9. What is the third smallest value in -1, g, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-12)\/10)\/((-5)\/((-250)\/15))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = -12 + 36. Suppose o = -o + c. What are the prime factors of -17*(-4 + 0 + o)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.038799 and -5.\nAnswer: -0.193995","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*m**2 - 15484*m\/5.\nAnswer: -m*(25*m + 15484)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11892 + 2*a**2 + 883 - 2611.\nAnswer: 2*a**2 + 10164","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 368\/12 - (-6)\/(-9). Is 9 a factor of ((-2)\/2 - 2) + d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -26*s - 1. Let j(z) = 130*z + 4. Let u(h) = -16*c(h) - 3*j(h). Let y be u(2). Suppose -5*p = -p - 4*f - y, 2*p - 28 = -2*f. Is 9 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 556, 547, 538, 529?\n\"Answer: -9*u + 565","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v**3 - 2*v**2 - 3*v + 1. Let t(p) = 54*p**3 + 26*p**2 + 9*p - 4. Calculate 3*q(i) + t(i).\nAnswer: 57*i**3 + 20*i**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1647357 - 13047357. Round l to the nearest one million.\nAnswer: -11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 75 a factor of 905037775?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -96 = -4*c - 2*a, -10*a + 7*a = -4*c + 76. Solve -2*o - 4*k - c = 0, 82 = -4*o - 5*k + 53 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 7 - (1 - -3 - 3). Suppose -b*d + 608 = -2*d. Calculate the highest common divisor of 19 and d.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2.735 (b) 229 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = l**3 + 11*l**2 + 8*l - 23. Give t(-10).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -10*p + 14. Let v = -12559 + 12562. Give l(v).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.407379 to two dps.\nAnswer: -0.41","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2353 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-105)\/75*(2 + -7). Suppose 0*d + 4*d + 24 = 4*g, 3*g = 4*d + 17. What is the highest common divisor of x and g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -u**3 - 23*u**2 - u - 25. Let t(g) = 2*g**3 + 45*g**2 + g + 49. Let c(x) = 5*h(x) + 3*t(x). List the prime factors of c(-20).\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 105 and 221151.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*u - 848 = -13*u - 639 for u.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.3 and -0.1902.\nAnswer: 0.05706","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 817 - 818. What is the third smallest value in 61, 0.4, s?\nAnswer: 61","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -24, 590 in increasing order.\nAnswer: -24, -5, 590","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 232 or 230?\nAnswer: 230","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*k - 2*k + 3*k + (-2 + 2 + 1)*(-196*k - 2850 + 2850) + (-3 + 0 + 1)*(18*k + 83 - 83).\nAnswer: -231*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 364 + 2*n - 3*n + 371 - 3*n**2 + n - 817.\nAnswer: -3*n**2 - 82","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 12*w**3 - 50*w**2 + 151*w + 3. Let b be p(3). Is b > 15?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 22*f**3 + 10*f**2 - 3*f**2 - 12*f + f + 5. Let d be u(-6). Let v = 79621\/18 + d. Calculate the common denominator of v and -5\/9.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-13)\/156*(-8 - -10). Put -1\/4, -13.1, c, 0.1 in descending order.\nAnswer: 0.1, c, -1\/4, -13.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:38 AM and 5:34 AM?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -40.6 (b) 1 (c) -2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -188 from 5.\nAnswer: 193","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4 + sqrt(432)*4 - sqrt(432) - (sqrt(432)*4*3 + sqrt(432))) + 2)**2.\nAnswer: -1440*sqrt(3) + 43236","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-660*j + 341*j - 843*j)*(3*j - j - j) - 6*j**2 + 2*j**2 + 3*j**2.\nAnswer: -1163*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -6404 or -2\/17?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 4630, 2946, 1258, -434, -2130, -3830?\n\"Answer: -2*d**2 - 1678*d + 6310","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -305569 < 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.5 * 1.29.\nAnswer: -0.645","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/8 - (-23)\/(-44). Let o = 68\/159 - 5\/53. Which is greater: a or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 762403.7 * 2.3\nAnswer: 1753528.51","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 98379 and 1152?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3\/(-12) - ((-12458)\/8 - 2). Suppose s = 5*t - 4*p - 3099, 10 = -5*p. Suppose 16 = -4*d, -5*d = 3*a - 2395 - t. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 121645694 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 20210111110 - 10001220?\nAnswer: 20200102120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = 7*s - 3*s + 210, 3*m = -2*s + 210. Calculate the greatest common factor of 10 and m.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 153*q. Let l(g) = 3*g**2. What is l(a(f))?\nAnswer: 70227*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -24395 greater than -24578?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-15)\/(-10)*(8\/(-10) - 259\/(-105))?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -j**2 - j + 1. Let i be t(-2). Let w = -527.2 + 527. Which is the second biggest value? (a) -1.5 (b) w (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, 2, -100, 4, 0 in decreasing order.\nAnswer: 8, 4, 2, 0, -100","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(5*(sqrt(84) - 4*1*sqrt(84))\/(6*sqrt(48)) + 0)*-2)**2.\nAnswer: 1575\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 421, 341, 257, 169, 77, -19?\nAnswer: -119","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 218\/43 or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12529991 is divided by 12529920.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -x**3 - 25691603494600 + 25691603494600.\nAnswer: -x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-117)\/(-27) + -5)*54\/(-8 - -5).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = -3*i + 4*d, -138*i = -136*i + 4*d - 32 for i.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = -3*p - 879, -p - 158 + 150 = 0. What is the hundreds digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -323713 divided by -6?\nAnswer: 323713\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-6)\/9 - 80\/(-30). Suppose 14*g = h*g + 48. Sort -8, 3, -4, g in descending order.\nAnswer: g, 3, -4, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the first derivative of 47*r**2\/2 + 3198. Let t(q) = -80*q. Calculate t(k(x)).\nAnswer: -3760*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 83 divide 18110849?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-625*s**2 + 52*s**3 + 625*s**2)*(-s**2 - 4*s**2 + 6*s**2).\nAnswer: 52*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -a**3 - 11*a**2 + 11*a - 1. Let g be m(-12). What is the derivative of -254*f - g*f**2 + 1 + 254*f wrt f?\nAnswer: -22*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 348342377 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-9999920)\/42)\/(-20) - (-4)\/3 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is -0.2204 less than or equal to 2\/18347?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 23\/7 + 90\/(-315). Let j be 18*(-2)\/4*(-1)\/c. Solve -3*r + 7 = k - 6, -j*r + 2*k = -19 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/(-4)*(-7)\/((-63)\/(-6))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.0072 + 0.0928. Which is the third smallest value? (a) -4 (b) -1 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -248881 divided by -1.\nAnswer: 248881","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -38 - -1266859181.\nAnswer: 1266859143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 259751741.\nAnswer: 97, 887, 3019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 take away -8006973410?\nAnswer: 8006973410.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (685 - (-13)\/1)*(-1 + 5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 786824849.\nAnswer: 786824849","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*m + 5*l - 4, 0 = -2*m - 4*l - 1 + 3. Suppose 3*j - 144 = -m*g, 3*g + 2*j - 110 = 38. Suppose -3*r - 10*r = -g. Is 6 < r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tu when two letters picked without replacement from yydludldsyttdtlydl.\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 6, v: 6}. Give prob of sequence vgv.\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2198776583?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 14*f + 6*f + 28*y - 1474 + 418, -y - 148 = -5*f + 2*f for f.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4 + 7. Let w = 28.2 - 31. Let h = w - -0.8. Sort 0.1, h, d.\nAnswer: h, 0.1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*h**3 + 62*h - 38*h**3 + 60*h - 135*h.\nAnswer: -22*h**3 - 13*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 4*y - 5. Calculate o(3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that 2*y**2\/11 + 3008*y\/11 + 1131008\/11 = 0.\nAnswer: -752","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 116385 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -7*g**3 + 4*g + 4. Let y(m) = 28*m - 57. Let i be y(2). Let o(j) = -j - 1. Calculate i*a(v) - 4*o(v).\nAnswer: 7*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjjjsjttjtjs. What is prob of sequence sjt?\nAnswer: 7\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 47 + -15. Let r = y + -14. Which is the nearest to r? (a) 0 (b) 0.4 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-58*b + 926*b + 1984*b)*(4 + 2 - 4)*(-6 + 4 + 6) to the form c*b + o and give c.\nAnswer: 22816","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 930 - 23*u**2 - 930.\nAnswer: -23*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) be the third derivative of -n**2 + 0*n - 2\/3*n**3 + 0 + 1\/24*n**4 + 1\/60*n**5. Let m be (1*-2 - -2)*-1. What is k(m)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -35 + 43. Suppose 2*o + 30 = -3*o. Let s = o + y. Which is smaller: s or 16\/5?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*p**2 - 14*p**2 - 39*p**2.\nAnswer: -41*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -l**2 + 14*l - 8. Let q be f(11). Let a = 61 - 76. Let c = a + q. Solve k = 3*k - c for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 5*x - 120 = -0*f, 10 = 2*x. Calculate the remainder when f is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:21 PM and 12:11 AM?\nAnswer: 710","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -1384 (base 11) to base 16\nAnswer: -6fa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -10*v + 20. Is 10 a factor of o(-7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28253496100 rounded to the nearest one million?\nAnswer: 28253000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/s**(-3\/7))\/(s\/s**(-20))*(s\/s**(-12\/5))\/(s\/(s*s*s**(2\/21))))**(17\/4) assuming s is positive.\nAnswer: s**(-26911\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*n**3 + 5*n**3 - 33*n**2 - 6*n**3 + 8*n**2 to t*n + m*n**3 + b*n**2 + a and give b.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12)\/999*45\/10.\nAnswer: -2\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3.0584934 + 17549408.9415066. Let c = j - 17549381.100219. Let y = -30.9 + c. What is y rounded to 5 decimal places?\nAnswer: -0.00022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (10*l + 15*l - 29*l)*(-5 + 5 - 5*l) in the form i*l**2 + d + q*l and give i.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 17*l**3 + 0*l**3 + l**4 + 0*l**4 + 6*l**2 - 27*l**3 + l**4 + 18*l.\nAnswer: 2*l*(l - 3)**2*(l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 63\/(-15)*(-2310)\/(-539).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 1264 = 2*q, 5*q - 3160 = a - 4*a. Let b = 3867 + q. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 366 minutes before 5:54 AM?\nAnswer: 11:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 5391, -0.1, 0.06 in decreasing order.\nAnswer: 5391, 0.06, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2565\/17 - 151. Let p = -1.049 + 0.049. Which is the closest to 0? (a) f (b) p (c) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/20 of a litre?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s = 4*x - 3, 16*s = -x + 13*s - 12 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 253615 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 22 and 25037298.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 107031 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-8)*o**4)**(-28\/5) assuming o is positive.\nAnswer: o**(112\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1222182368?\nAnswer: 2, 11, 313, 11093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3279273417.\nAnswer: 3, 7, 5783551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -124 (base 7) to base 8\nAnswer: -103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) be the third derivative of t**5\/60 + 35*t**2. Suppose 0 = -5*g - 12 - 18. Let v(j) = 8*j**2 - j + 3. Calculate g*x(o) + v(o).\nAnswer: 2*o**2 - o + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 s when two letters picked without replacement from {d: 10, s: 1, q: 9}?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 25624?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1643 is divided by 542.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = -25*f - 2987519184. Let p be ((-18)\/24 - f\/8) + 5. Round p to the nearest one million.\nAnswer: 16000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -a**2. Let j(b) be the first derivative of 49*b**3\/3 - 839. What is j(c(n))?\nAnswer: 49*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide ((-3)\/9)\/((-4)\/672)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 32 = 2*p, 0 = p - r - 3 - 4. Suppose x - 3 = 4*l, 14*l + x - 3 = p*l. Which is the second smallest value? (a) 9 (b) l (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(9) - (sqrt(1296) + (sqrt(1296) + sqrt(1296)*1 + sqrt(1296) - sqrt(1296))))\/sqrt(192).\nAnswer: -35*sqrt(3)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4\/(-38) + 84500\/247. Let b = z - 162. What is the units digit of b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -98 = 3*x - 8. Let p = -8 - x. Suppose 4*q = 3*q + 43. Calculate the remainder when q is divided by p.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 796978840 a multiple of 329?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1\/9*i**5 + 26\/9*i + 0 + 13\/9*i**4 - 37\/9*i**2 - 1\/3*i**3 = 0 for i.\nAnswer: -13, -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 9 + 3)*(-576*g + 8951 - 8951).\nAnswer: 3456*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 0.0473 times 0.0060697\nAnswer: 0.00028709681","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 27029 - 5278. Is 71 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/5, -0.5, -0.3, -5, -5\/9?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is m in 4*m**4 + 1484*m**3 - 2984*m**2 = 0?\nAnswer: -373, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 0 * -6449\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by 305837.\nAnswer: 5\/305837","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 110110 (base 2) to base 10\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 - (-44)\/7 - 920\/(-96)*6\/(-140).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(2057) - sqrt(2057))*4)**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -259246 or 3065?\nAnswer: -259246","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-24)\/m**12*(m**(2\/9)*m)\/m*m*m**(2\/17) assuming m is positive.\nAnswer: m**(-5303\/153)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -2*3\/4*-2. Suppose -4*t + w*t + 97 = 4*m, 2*t = -3*m + 74. Is 12 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/(p*p**8))\/p**8*(p\/(p*p\/(p\/((p\/p**2)\/p*p))))**3)**(-2\/79) assuming p is positive.\nAnswer: p**(26\/79)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 18951485 to the nearest integer?\nAnswer: 4353","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(280) + sqrt(280)*-2)\/sqrt(8) + sqrt(35) + sqrt(70)\/(sqrt(4)\/sqrt(2)) + sqrt(35))\/(sqrt(80)*1 - sqrt(405)*-2) + -2.\nAnswer: -2 + sqrt(7)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = t**2 - t - 4. Let b be v(-2). Let o(r) = 4*r**2. Calculate the remainder when (0\/(-1) - -1) + 46 is divided by o(b).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -59 + 75. Let g = s - -2. What is the remainder when g is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 697450892?\nAnswer: 2, 71, 557, 4409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:40 PM and 9:47 PM?\nAnswer: 547","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6963 and 43849809?\nAnswer: 482347899","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 20 + -20. Put 11, -3, m in decreasing order.\nAnswer: 11, m, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uhg when three letters picked without replacement from {g: 3, u: 6, h: 2, p: 1}.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a milligram in micrograms?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*s**3 + 318*s**2 + 2*s - 318.\nAnswer: -2*(s - 159)*(s - 1)*(s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -162*r + 7555. Determine m(46).\nAnswer: 103","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -35 + -3?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 53 - (-9 + (45 - 5)).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -302*a - 3*a**2 - 1135*a**3 + 2272*a**3 - 1139*a**3 in the form c*a + g*a**3 + z + k*a**2 and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 400*h + 170. Let r(s) = 204*s + 64. Let g(d) = -407*d - 133. Let c(k) = 4*g(k) + 7*r(k). Let l(u) = -11*c(u) - 6*o(u). Differentiate l(i) wrt i.\nAnswer: -200","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 237 + -233. Calculate the common denominator of -143\/30 and h + (680\/(-84))\/2.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -56 divided by -14.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 90152 and 16196?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 33 divided by -5301.\nAnswer: -11\/1767","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 455048008 to the nearest integer?\nAnswer: 769","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -3, 4646, 4, 2 in decreasing order.\nAnswer: 4646, 4, 2, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -106 + -235. Let z = 1217 + n. What are the prime factors of z?\nAnswer: 2, 3, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -58 = -18*n + 50. Let z(j) = j - 8. What is z(n)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5511?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q = 4*q. Suppose q = -3*z + 137 + 115. What is the highest common divisor of 12 and z?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -14*i**3 + 5*i**2 + 8*i + 16. Let p(n) = 5*n**3 - 2*n**2 - 3*n - 5. Determine -8*p(h) - 3*q(h).\nAnswer: 2*h**3 + h**2 - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -11143 (base 6) to base 16\nAnswer: -627","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 927.5326 days to minutes.\nAnswer: 1335646.944","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 1784.34082 to the nearest 100.\nAnswer: 1800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve p + 18 = 4*u, -4*u = 2*p - 4 - 8 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 62773 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5 - 13612732457.\nAnswer: -13612732456.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 minutes after 10:34 AM?\nAnswer: 11:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -97 + 142. Let i = m - 44.97. Which is the third smallest value? (a) i (b) 2\/15 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 50 = 2*w + 12, 42 = -2*z + 3*w. Let y be 3\/z*-86*70\/(-14). Let n = -256\/3 - y. What is the second biggest value in n, 11, -4?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2549 - 48 = -142*l + 1947 for l.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 145771 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -168.34 + 169.34. Let w = 0.8 - 1. Which is the second biggest value? (a) 0.1 (b) -3 (c) k (d) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 3 m when four letters picked without replacement from {m: 7, a: 6}?\nAnswer: 42\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8988 and 1344.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 2, d: 6}. What is prob of sequence dnn?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -q**2 + 7. Let t(n) = -n**3 - 5*n**2 - 7*n. Suppose -5*l = -5*c + 25, -c + 2 = 1. Calculate the remainder when t(l) is divided by x(0).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56*q + 318*q - 44540 = 0. Solve q*z + 4 = 169*z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = d - 4. What is the remainder when 13 is divided by d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1202 - -1059. Suppose 2*i - 233 - t = 0. What is the greatest common factor of 43 and i?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1137419, 1137424, 1137429, 1137434, 1137439?\nAnswer: 1137444","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -99243*o + 595468. Give w(6).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(133)\/((sqrt(560) + sqrt(35))\/sqrt(5)).\nAnswer: sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4145.434 seconds to nanoseconds.\nAnswer: 4145434000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5 - -6cae?\nAnswer: 6ca9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wf when two letters picked without replacement from {w: 4, f: 2}?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 8*c**3 + 16*c**2 - 5*c + 5. Let p(k) = -16*k**3 - 28*k**2 + 10*k - 9. Calculate -7*j(y) - 4*p(y).\nAnswer: 8*y**3 - 5*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 + -2 - 1 - -1) + -2.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 21200 (base 3) in base 13?\nAnswer: 12c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 i when three letters picked without replacement from {i: 6, t: 2}?\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-306)\/(-544)*16*-3*44\/(-27)?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*c - 4*c - 6. Let h be (-84)\/81*c - -6. Sort h, -1\/9, 1\/3 in ascending order.\nAnswer: -1\/9, 1\/3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1301778390 to the nearest one hundred thousand.\nAnswer: 1301800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 - 8 = 71*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = 4*l - 6*s + 58, 5*l = 2*s - 71. Let k = l - -52. What is the units digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 30 + 5 = 0. Let j = 11 + u. Suppose j*y = 11*y + 1645. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28316*g + 28317*g + 1 = x, 5*g = -10 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -6*p**2 - 3*p. Let z(s) = s**3 + 6*s**2 + 6*s + 7. Let b be z(-5). Let v(m) = b*m + 3*m + 2*m + 13*m**2. Calculate 9*o(c) + 4*v(c).\nAnswer: -2*c**2 + c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -1660*u + 2509. Calculate k(1).\nAnswer: 849","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 80523 and 9453.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:51 AM and 12:33 PM?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-24)\/(-396)*-9*44\/(-12)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j and 1 g when three letters picked without replacement from {o: 2, g: 1, j: 2}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -819*m + 821*m + 7 = 3*i, -4*i + 6*m = -6. Find y, given that 12*y**2 + 192\/5 - 204\/5*y - 3\/5*y**i = 0.\nAnswer: 2, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 662?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 9*r**3 + 5*r**2 + 2*r - 1. Let z(a) = 4*a**3 + 2*a**2 + a. Let y(f) = -2*j(f) + 5*z(f). Let b be y(3). Let l = b + -58. Which is smaller: 2\/13 or l?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*o - 20, -12 = -h - 4*o + 4. Let j = -6 - -12. Let i be (-77)\/h - j\/(-8). Calculate the highest common factor of i and 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the third derivative of 1\/16*d**5 + 1\/2*d**3 - 1\/4*d**4 + 0*d + 7*d**2 - 1\/160*d**6 + 0. Factor n(v).\nAnswer: -3*(v - 2)**2*(v - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) be the first derivative of 55*m**4 - 2*m**3\/3 - m**2\/2 + m + 58. What is the hundreds digit of d(1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) be the first derivative of 5*v**2 - 14*v + 1. Let o be (-42)\/(5\/(-35) - (-80)\/(-28)). Let c(x) = 2*x - 3. Calculate o*c(g) - 3*i(g).\nAnswer: -2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 393960 a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 932 - 6486\/7. Find the common denominator of i and 6\/11.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + -3*((1 + sqrt(1088) - sqrt(1088)) + sqrt(1088)) + sqrt(1088) - (-1 + sqrt(1088) + 1 + -5))**2.\nAnswer: 144*sqrt(17) + 9801","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -11*c**2 + 3*c - 3. Let t(f) = -23*f**2 + 7*f - 7. Let q be 20\/60 + (-44)\/6. Let v(l) = q*z(l) + 3*t(l). Let b(d) = -d. Determine v(b(n)).\nAnswer: 8*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = 2*a - 4. Suppose -a*j = -8*j + 8. Solve f = j*f - 2 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1057 = -5*f + 978. Calculate the greatest common divisor of 11 and f.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = w**3 + 5*w**2 - 5*w + 5. Suppose u + 2*u = -18. Let k be h(u). Let q = 239\/4 - 60. Which is smaller: k or q?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000070537 to five dps.\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*t**3 - 2 + 2*t**3 + 4 + 2*t - 1 + t**4 to q + z*t**2 + c*t**4 + s*t + a*t**3 and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -239*f + 250*f = 0. Suppose -a + 0*s + 5*s - 16 = 0, 36 = 4*a + 5*s. Solve -h = a - f for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5657 is divided by 1882.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -359, -428, -461, -392, -155?\n\"Answer: 11*a**3 - 48*a**2 - 2*a - 320","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -57*w**2. Let j(l) = 19*l**2. Determine -2*g(f) - 7*j(f).\nAnswer: -19*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 365089012?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 46 a factor of 242?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 = 13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 93.3, 138\/7, -1\/3, 38.\nAnswer: -1\/3, 0, 138\/7, 38, 93.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5.15525 * -1.1.\nAnswer: -5.670775","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -0.08 (b) -5 (c) 1 (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2035 - 53011\/26. Let p be 8\/6*9\/(-10299). Let i = p - -230075\/54928. What is the common denominator of i and b?\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13825.\nAnswer: 5, 7, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**16*m*m)\/((m**11*m)\/m))\/(m*m**1)**(7\/3) assuming m is positive.\nAnswer: m**(7\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 25 in -1.2, -53, -5\/3, -0.3, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2794? (a) -0.5 (b) 2\/5 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1152 a multiple of 96?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 14, -4291, -13, -3, 10 in ascending order.\nAnswer: -4291, -13, -5, -3, 10, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 25140659 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3, -0.353968, -2\/9, 0.3?\nAnswer: -0.353968","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.4 less than -4138?\nAnswer: -4132.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -115\/3348378 and 29\/9395.\nAnswer: 16741890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*z - 20 + 236. What is the lowest common multiple of z and 60?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 29*(8\/(-16))\/(2\/4). Let a(i) = -i**3 - 29*i**2 + 27*i - 12. Let z be a(t). What is z rounded to the nearest one hundred?\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 4\/9*p**4 - 44\/9*p**3 + 140\/9*p + 92\/9*p**2.\nAnswer: 4*p*(p - 7)*(p - 5)*(p + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -280*f**2. Let z(a) = -2371*a. Give z(q(t)).\nAnswer: 663880*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 - 4 + 3*y)*(1 + 1 - 4 + (-1 + 5 - 3)*(4 - 2 - 3))*(-6*y - 2*y + 2*y) in the form h + f*y + n*y**2 and give n.\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve d = 1316*s - 1317*s + 2, s = 4*d - 8 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-63)\/(-28))\/((-5)\/(20\/6)).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20770.\nAnswer: 2, 5, 31, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -671, -664, -651, -632?\nAnswer: -607","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 283 - 160. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nx when two letters picked without replacement from xnssbhn.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1 + 42. Let s(v) = 5*v + 7. Let t be s(-6). Let y = m + t. What is the units digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 74407.\nAnswer: 37, 2011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (151 - 327 + 99)*(-1 - 2*m**5 + 1).\nAnswer: 154*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1\/((4\/3)\/(-4)). Let h be 1*3\/(-1) + 5. Sort -2, v, h.\nAnswer: v, -2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*f + 16 = 56. Suppose -5 = 5*a + f, 2*c - 6 = 4*a. Suppose 2*x = 3*o + 11, -6 = -3*x + 2*o + 8. What is the closest to c in -4, -2\/7, x?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45 a factor of 18344686?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 50662 and 1314?\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2180731748?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -7*n - 138. What is l(26)?\nAnswer: -320","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 3*g**2 + g - 1. Let k be c(1). Suppose 5*u = -k*d - d - 51, 4*u + 12 = 0. Is 4\/(-6) + (-105)\/d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -j**3 + 2*j**2 + 4*j + 16. Let c be p(4). Suppose -9*b = -c*b - 5769000. Round b to the nearest 100000.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11 = 10*l - 39 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 98 + (-5)\/10*-6 is divided by 26?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -22885, -91567, -206031, -366271, -572281, -824055, -1121587?\n\"Answer: a**3 - 22897*a**2 + 2*a + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 29005.67399851 + -29005.46. Let n = -0.214 + j. Round n to 7 decimal places.\nAnswer: -0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 418707?\nAnswer: 3, 46523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4582950 is divided by 33.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ggg when three letters picked without replacement from {g: 2, w: 7, b: 8, s: 3}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 12 - -1. List the prime factors of l.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 280004 = 4*t, -t - 1400003 = 5*d + 2*t. Round d to the nearest 100000.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 153 - 131.3. Let g = 22 - z. What is the nearest to g in -2\/3, -3, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 78\/4 + 3\/6.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 455*c**2. Let l(z) = -z**2 - 86*z. Give l(f(o)).\nAnswer: -207025*o**4 - 39130*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 438957 and 26163?\nAnswer: 3950613","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w**4\/6 - 133*w**3\/6 + 86509*w**2\/6 - 7580375*w\/6 + 16625000 = 0.\nAnswer: -399, 16, 125","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 21466793 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*p - 2*n - 10616 + 57427, 62412 = 4*p + 2*n. Let r = -7401 + p. What is r rounded to the nearest 1000?\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29 = -o - 2*l, 3*o - 4*l - 36 + 163 = 0. Let w = -17 - o. Is w a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 111787201 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -2*w**2. Let h(k) be the second derivative of -k + 0*k**3 + 0*k**2 + 0 - 1\/3*k**4. Determine h(z(y)).\nAnswer: -16*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 + -4 + 0 - (-1 + 1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = b**3 + 6*b**2 + 3*b + 35. Determine r(-7).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xhtzxxxzxzhzhvxztzvv. Give prob of picking 2 v.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -140 + 1401\/10. Let j(v) be the second derivative of -1\/3*v**3 - b*v**5 + 2*v + 0*v**2 - 1\/3*v**4 + 0. Factor j(y).\nAnswer: -2*y*(y + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:34 PM and 1:59 AM?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-49)\/((-1617)\/(-132))*585\/1620.\nAnswer: -13\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6 - -1. Which is the third biggest value? (a) -1 (b) m (c) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 50 and 47242.\nAnswer: 1181050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 55, -2 in descending order.\nAnswer: 55, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 164*t - 7301846 = -648038. What is the ten thousands digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 2*d**2 + 30*d - 23. Let a(v) = 3*v**2 + 29*v - 23. Let w(k) = 4*a(k) - 5*s(k). Give w(16).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 692 minutes after 5:38 PM?\nAnswer: 5:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:12 AM and 8:54 AM?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4 - 5) + 2 - -5. Let q = -4 - -4. Let d be q + (-1 + 0 - 1). Is o <= d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1011001111 (base 2) to base 6.\nAnswer: 3155","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand r**3 + 22*r**5 - r**3 + 2*r - 2*r + 2*r**5 + (-5*r**3 + 3*r**3 + 3*r**3)*(-r + r + r**2).\nAnswer: 25*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = u**3 - 39*u**2 + 36*u + 104. Give f(38).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 2*c + 0 + (-1 + 3 - 3)*(-5*c + c - 6*c) - 12*c - 11*c - 2*c)*(-2*c + 3*c + 0*c) to j*c**2 + i + b*c and give j.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -85 - -52. Let k = z + 32. Which is the nearest to k? (a) -0.5 (b) -0.2 (c) 8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -79\/6 and 23\/50239090.\nAnswer: 150717270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2 + (1 - 2))*1. Let h = 4 - z. Let u = -1 + 12. Solve h*k = 2 - u for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -12.5 in -4\/3, -0.4, 0.4, -1\/3?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - (-3 + (-5 - (-2 - 2))).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ert when three letters picked without replacement from {r: 1, t: 1, e: 1, f: 2}.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-6)\/(-5))\/(4\/120). Suppose -2*m + 5*m + 3*k = -12, -2*m + 3*k = -17. Let i be 87*m + (1 - -2). Calculate the greatest common divisor of i and n.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 42982318?\nAnswer: 2, 601, 35759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o, 1 u, and 1 k when three letters picked without replacement from cmuooku?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 81 = -5*f + 4*j, -3*f + 4*j + 2654 = 2725 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 10*b - 5. Let k(l) = 10*l - 4. Calculate -5*g(z) + 4*k(z).\nAnswer: -10*z + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 72 and 115806376.\nAnswer: 1042257384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 20 and 30.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ee when two letters picked without replacement from {g: 3, e: 2, c: 4, o: 2, k: 2}.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*-5*(0 + sqrt(1300) + sqrt(1300) + (-2*sqrt(1300))**2 - sqrt(1300)).\nAnswer: -130000 - 250*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -168*w**2 - 78*w. Let t(r) = 42*r**2 + 19*r. What is -5*m(g) - 21*t(g)?\nAnswer: -42*g**2 - 9*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -47 - -34. Let q = 21 + a. Let c = -24 + 38. Calculate the remainder when c is divided by q.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5457 - -5482. What is the nearest to -0.2 in 1\/3, 2, f?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = -5*s + 19, 0 = -5*s + 6*s + 2*j + 1. Is (s - 4)\/(1\/14) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 514 or -1\/26293?\nAnswer: 514","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 156993071 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - (-6 - -17 - 4 - (0 + -20)).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -628 = 2*o - 7454. Is o 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 2530?\nAnswer: 2, 5, 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (154\/(-15))\/11*-10*-1*(-24)\/(-16).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p + 2 + 4 = 0 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 421 minutes after 7:14 PM?\nAnswer: 2:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1 (b) -2\/11 (c) 226\/99\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 75817 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28951 is divided by 1449.\nAnswer: 1420","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 4*h**2 - 431*h + 10504. What is f(74)?\nAnswer: 514","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = 4*c + 104, 3*c = -2*l - 36 + 98. Calculate the remainder when 167 is divided by l.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 522 is divided by 285?\nAnswer: 237","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + l + 2 = 0. Suppose 0 = -l*p + p - 3*i + 13, 4*p - 3*i - 7 = 0. Suppose -p*s = -s - 57. What is the remainder when s is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 5 - m - 186*m**2 + 314*m**2 - 129*m**2. Suppose d = 6*d. Give r(d).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -10*i + 7. What is s(0)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 98564490659 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 5625?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -1, 747, 3 in decreasing order.\nAnswer: 747, 3, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3, 3\/4, -2, 13, 2\/7, -25, 4\/95?\nAnswer: -25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 275, 498, 739, 1004, 1299, 1630?\n\"Answer: m**3 + 3*m**2 + 207*m + 64","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (-33)\/(-1560)*12 - (-16)\/(-104)\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 210 - 32*g**3 - 210 + (-3 - 1 + 2)*(-2*g**3 + 3*g - 3*g) + 4*g**2 - g**3 - 4*g**2.\nAnswer: -29*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 16732, 66921, 150568, 267673, 418236?\n\"Answer: 16729*g**2 + 2*g + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1436 = -5*c - 204. Let w be c\/(-6)*(-3)\/(-2). Let p = w + -64. Calculate the lowest common multiple of p and 4.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*v + 1485 = 39*v - 5*p, 2*p = -6. What is the remainder when v is divided by 85?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (27 - 8) + (-4 - 83) + -19 + 2?\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 6323 divided by -1555?\nAnswer: -6323\/1555","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/2, 0.36, 2\/9, -3, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) 0 (b) 1\/5 (c) -642 (d) -2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28 + 40*q - 101 + 71.\nAnswer: 40*q - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1910 + 1923. What is the closest to 1 in 11, c, -4, 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((s**3 + 0*s + 0*s)*(-2 + 2 + 1) + 3*s - 3*s + s**3 + 3*s**2 - 4*s**3 - 3*s**2)*(-4*s + 4*s + 8*s**2).\nAnswer: -16*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 57 divide 10705096?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 27 = -3*f, -56 = -5*f + g + 2*g. What is the greatest common factor of 117 and f?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 271142 is divided by 35?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 391 (b) 2\/3 (c) -12\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 7345265 a multiple of 283?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 4*x + 5*d - 12, 3*x = -4*d + 20. What is the smallest common multiple of 16 and ((-2)\/x*8)\/((-6)\/45)?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7281 + 7274. Which is smaller: 1182 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 177997105 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/(-2) - (1 + (-51)\/34))\/(0 - 13).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 209106 to the power of 1\/2, to the nearest integer?\nAnswer: 457","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 8\/25 of a litre?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 199 or -342?\nAnswer: 199","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 189 and 168?\nAnswer: 1512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -1*947.7025\nAnswer: -947.7025","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -19*y - 18. Let k(x) = 39*x + 39. Let z(o) = 13*c(o) + 6*k(o). Let j(s) = -9*s**2. Calculate j(z(p)).\nAnswer: -1521*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (29 + 16 - 28) + -24?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f - 11 = 2*p, p = -0*p + 2 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 67 - 38. List the prime factors of u.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = 5*f + 23. Let v(z) = -z + 31. Let w be v(f). Calculate the greatest common factor of w and 36.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*s**2 + 97685808*s + 795209757051072.\nAnswer: 3*(s + 16280968)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1423\/22 + -129\/2. Let p = 14 - 18. Let a = p - -9. What is the closest to c in a, 4\/9, -4?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-16)\/(-4) + -4 - -123. Is 1 - r\/(0 + -3) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ll when two letters picked without replacement from qqqvqlvllq.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1.614 and 5?\nAnswer: -8.07","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((sqrt(77)\/(sqrt(33)\/sqrt(3)))**2 + 1).\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = -w + 36, 2*t = w - 0*w + 20. Let y(u) = -u**2 + 9*u + 1. List the prime factors of y(t).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = 2*u - 24, 75 = 5*u + p + 4*p. Let w(c) = c**2 - 14*c - 2. Determine w(u).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -330 (base 8) in base 9?\nAnswer: -260","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20 (base 9) to base 4.\nAnswer: -102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ufbkd. Give prob of sequence fud.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = x**4 + x**2 + x. Let m(h) = -7*h**4 + 4*h**3 + 11*h**2 + 7*h - 41. Let l(r) = 5*f(r) + m(r). Let y(s) be the first derivative of l(s). Factor y(z).\nAnswer: -4*(z - 3)*(z + 1)*(2*z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s + 1235 - 102 = -27*b, -2*s = -4*b - 166 for b.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 304, 308, 324, 358, 416, 504, 628, 794?\nAnswer: 1008","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -118338*s + 7. Let h = -12 - -15. Let u(c) = 118337*c - 8. Let m(a) = h*u(a) + 2*x(a). Let o be m(6). Round o to the nearest 100000.\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w**(-2\/31)\/w*w)\/w)\/((w*w*w**(-9\/7))\/w))\/(w*w**(1\/21)*w**(-4)) assuming w is positive.\nAnswer: w**(1415\/651)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/1932 < 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = -3*c + 8*s + 31, -5*s = -20. Let z = c - 1. Suppose 20*t = z*t. Solve t*p + p - 3 = 0 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*i**4 + 7*i**2 - 109*i + 18*i**2 - 5 - 25*i**2 - 168*i to the form j*i**4 + y*i**3 + n + d*i + c*i**2 and give d.\nAnswer: -277","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 77 = 2*o, -o - 231 = -3*b - 0*o. Let r be ((-7)\/3)\/(2\/(-6)). Calculate the greatest common divisor of b and r.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -570*1.088\nAnswer: -620.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 56 - 44. Suppose -2*c + 2 = 5*y - w, -5*y + 2*c = -6. Let l(q) = 23*q**2 + 0*q + q**3 - 28*q**y - q + 2. Determine l(5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 25\/7 and -45\/28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -10*v + 27. Let o be -2 + 1 + 1 + 3. Let f(c) = -2*c + 4. Let n be f(-10). Solve -7*p - 6 = -3*s - 4*p, 0 = -v*s - o*p - n for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 81138785?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 31 = -3*i, -1 + 4 = -i. Let v be x\/(-4) + 1\/2. Let w = -2 + 2. Solve -v*d + 7*d - 20 = w for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) be the second derivative of 2\/3*f**3 + 0*f**2 + 0*f**5 - 1\/360*f**6 + 1\/12*f**4 + f + 0. Let r(j) be the second derivative of u(j). Give r(3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -3, 22, -1, 10 in descending order.\nAnswer: 22, 10, -1, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the third derivative of -5\/12*i**5 + 5\/84*i**7 + 0 + 300*i**2 - 1\/672*i**8 + 25\/12*i**3 - 1\/48*i**4 + 0*i + 1\/120*i**6. Find n, given that g(n) = 0.\nAnswer: -1, 1, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 - (2 + (-10 - (-1 - 1))).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -106246 - -742107\/7. Let f = -231 - m. Let o = 27 - 63. Which is smaller: o or f?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -4*f + 7. Let y be z(3). Let d = y + 6. Suppose -r + 26 = d. What is the tens digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3003 + 2357917\nAnswer: 2354914","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 284*h**2 - 44*h - 170. Let r be g(-4). Suppose 0 = -64*b - 1286 + r. What is the remainder when 406 is divided by b?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, u: 1, p: 1}. What is prob of picking 1 p and 1 d?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 93\/112 and (-5225)\/(-24472) + (-13)\/104.\nAnswer: 2576","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 1667?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -0.3*-0.007626\nAnswer: 0.0022878","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 19\/4 of a second in milliseconds?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.1 + -1.3. Is q smaller than -4\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/(g\/g**(-1)))**39)**(1\/11)\/(g*g**6*g*g*g\/g**3*(g\/g**(2\/11))\/(g\/g**1)) assuming g is positive.\nAnswer: g**(-125\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = l + 3*q - 5, 7 = 3*l - 5*q. Find the common denominator of 125\/6 and ((-762)\/(-64))\/(-3) + l.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10323 + 23133?\nAnswer: 12210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(3 + sqrt(832) + sqrt(832) + sqrt(832) + 2 + (sqrt(832) - (sqrt(832)*-1 + 5 + sqrt(832))))*-6)**2.\nAnswer: 1916928","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 3*v + 2 = 2*v, 5*v = 15. Let y(x) = x - 1. Determine y(p).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 942458710?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the third derivative of 2*d**5\/15 - d**4\/12 - d**3\/6 - 2*d**2. Is a(-2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32749059\/35 + (-7 - 198\/(-30)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 423*n = 419*n - 5*v + 12, 4 = v for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -b**2 - 501*b - 2481. Let p be y(-5). Is p <= -11\/59?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -b**2 - 11*b. Give f(-10).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*q + 4*q + 3*q)*(1983*q**2 + 27057*q**2 + 28554*q**2 + 3187*q**2 + 1210*q**2 + 22703*q**2) to the form s*q + h*q**3 + p + t*q**2 and give h.\nAnswer: 169388","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Add 2.67 and 1.\nAnswer: 3.67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.022542 weeks to minutes.\nAnswer: 90947.22336","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(847)*-5 + sqrt(847) - (-2*sqrt(847) + 0))**2 - (sqrt(847) + (0 + sqrt(847))**2*-1 - -1*(sqrt(847) + 1 + sqrt(847) + sqrt(847))))*5 + 4.\nAnswer: -220*sqrt(7) + 21174","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 6*i**2 + 435*i - 32219. Determine u(-118).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = -d + 3, -l - 7 = -3*d + 2. Suppose -d*h + 2*w + 53 = -2*w, 5*h - 4*w = 75. Does 5 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -49\/1139 + -5\/67. Which is the third smallest value? (a) 0.5 (b) g (c) 2\/13 (d) 13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:51 AM and 11:01 PM?\nAnswer: 670","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l**(2\/41))\/(l*l**22) assuming l is positive.\nAnswer: l**(-900\/41)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(50)\/(sqrt(1000) - (sqrt(1000) + sqrt(1000) + (sqrt(1000)*1 - sqrt(1000)))) + ((3*sqrt(80) - sqrt(80))**2 - sqrt(80))*-5)*-6.\nAnswer: -597*sqrt(5)\/5 + 9600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + 2 + 1 + 6 + -10 - -5?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 20 - (-20 + 33) - 25?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-5\/4)\/(i\/i**(-3)))\/(i**(-7\/4)*i*i**1) assuming i is positive.\nAnswer: i**(-11\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 120*i + 146*i - 203*i + 60*i as t + v*i and give v.\nAnswer: 123","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -m**2. Let d be u(3). Let k(z) = 3 + 123*z + 2*z**2 + z**3 - 132*z + 6*z**2. Let q be k(d). Let w(l) = l**2 - 3. What is w(q)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) be the first derivative of 2*p**3\/3 - 71*p**2\/2 + 8*p - 9530. Let s(q) = -q**2 + 47*q - 5. What is 5*g(m) + 8*s(m)?\nAnswer: 2*m**2 + 21*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, -4, -21747 in decreasing order.\nAnswer: 0.1, -4, -21747","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 18, 96, 240, 462, 774, 1188, 1716, 2370?\n\"Answer: 2*a**3 + 21*a**2 + a - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = b**2 - b + 4. Let n be s(0). Find the common denominator of (-5)\/n*(-510)\/100 and (-348)\/90*(-75)\/12.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-4)\/14 - ((-37279)\/(-1848) - 18) and 7\/132.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -2*m + 16. Let s be q(-4). What is the highest common divisor of s and 18?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 41710 - 27020. Suppose 5070 - x = 2*o. Round o to the nearest 100.\nAnswer: -4800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 839.\nAnswer: 839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 692672.\nAnswer: 2, 79, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -g + 5. Let q be d(0). Suppose 9 = -4*u + q*y, -3*u - y + 0 = 2. Let h be (0 - 5)\/(-2 - u). What is the highest common divisor of h and 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43919 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, t: 4, d: 1, h: 4, k: 1}. Give prob of sequence hw.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Product of 138 and -18113.\nAnswer: -2499594","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 185 minutes after 3:32 AM?\nAnswer: 6:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0\/(((-2)\/(-4))\/((-5)\/(-30))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*h - 10*h + 2*h**2)*(22 + 55 + 33).\nAnswer: 220*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/6 + 207\/27. Calculate the highest common divisor of y and 32.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4250?\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -0.03671 * -1.338\nAnswer: 0.04911798","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*q**4\/2 - 3729*q**3 - 303369*q**2\/2 + 314550*q - 159138 = 0. What is q?\nAnswer: -42, 1, 2526","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 262 and 22?\nAnswer: 2882","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3188282 - -0.8359.\nAnswer: 1.1547282","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 1.09949m?\nAnswer: 1099.49","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*o - 2*o - o**3)*(-1 - 1 + 0) + ((-3*o + 2*o + 3*o)*(114 - 19*o - 114) + (-o**2 + 8 - 8)*(0 + 0 + 2))*(4*o - 4*o + 2*o).\nAnswer: -78*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence utu when three letters picked without replacement from {u: 4, l: 8, t: 2}?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*l - 3*l = -444. Let d = -46 - l. Suppose -8 = -2*v - 0*v. What is the greatest common factor of d and v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from moooomvxdxm. Give prob of picking 1 d and 2 o.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.0924 - -0.1046. Let x = -0.17 - -0.49. Let q = y - x. Round q to 2 dps.\nAnswer: -0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 210245 to the power of 1\/7, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r**5 + 230*r**4 + 8748*r**3 + 101992*r**2 - 514064*r - 7901568 = 0. What is r?\nAnswer: -38, -9, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand -13180 + 294*m + 13180 + (-2 + 3 - 2)*(-m - m + 3*m) + 2 - 2 - m.\nAnswer: 292*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let 1200*x**5 - 366120*x**4 + 2202843*x**3 - 4244472*x**2 + 2912943*x - 651222 = 0. Calculate x.\nAnswer: 11\/20, 2, 3, 299","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = d**2 + 14*d + 8. Suppose -7*l = -123 + 193. What is t(l)?\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:54 AM and 3:56 PM?\nAnswer: 302","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 2941962?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: ((-408)\/1088)\/(17\/(-8))\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-17 - -10)\/(-5 - -6).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 123 is divided by 33?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 14972515 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the second derivative of -2*z**6\/45 - z**5\/3 - 7*z**4\/9 - 2*z**3\/3 - 8*z + 25. Let x(m) = 0. Calculate m.\nAnswer: -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1\/8 - 3\/8. Let y = -0.5 - -2.5. Let p = 1 - y. Which is greater: v or p?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -155 bigger than 48?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-1)*q**15)\/(q\/(q\/(q\/(q**(-5\/9)*q)))*q\/(q*q**(2\/59))) assuming q is positive.\nAnswer: q**(7157\/531)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/6 of a millennium?\nAnswer: 2000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mggyyylggglsgggggg. What is prob of picking 1 y and 1 m?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 264604511?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -7879.555 rounded to the nearest ten?\nAnswer: -7880","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 35013, 0 in descending order.\nAnswer: 35013, 5, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (65\/10)\/(-13)*(-6)\/(-4).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 - 16 - -46 - 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 12*i. Let o(q) = -131972*q. What is o(b(a))?\nAnswer: -1583664*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2.18 + 2.269. Let d = -4.911 - q. Put -13, -4, d in increasing order.\nAnswer: -13, d, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 4, c: 2, t: 4}. Give prob of sequence toto.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 11 + -6. Suppose -a*z = 2*p - 256, 0 = -2*z + 5*p - 0*p + 114. Does 13 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 + (-2 - 6) - (-63 - -47)) + 35.\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5544770 + 2555228. Suppose m + 5 = -1. Let h be p\/(-9) + m\/27. Round h to the nearest 1000000.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 26\/13735 and -2\/1176721?\nAnswer: 241227805","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-24)\/9 - -3)\/(25\/6150). Calculate the highest common divisor of l and 123.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6210\/1610 + ((-4)\/21 - 2\/3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1 - -1 - 1)*2451\/(-129). What is the greatest common factor of 608 and s?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ntndntdnnlsn. Give prob of picking 1 s, 1 l, and 1 n.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -t**3 - 44*t**2 + 1356*t + 189. Calculate k(21).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s + 17 = -5*c - 4, -16*c + 12*c - 84 = 10*s for s.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 825739909?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 9152 and 10585861.\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 151545621 a multiple of 315?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 - -36) + (54 - 67) - (3 - 2).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -12174 - -10912. Which is smaller: z or 3?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 7 = -4*h + 9, -4*p = -2*h + 14. Is h at most as big as -1\/56?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*g - 10*g + 24 = 0. Let l be (g + (-21)\/(-6))*8. Suppose -l*w + 10 = w. Put -5, -3, w, 4 in descending order.\nAnswer: 4, w, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 150 (b) 55.764 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:05 AM and 5:26 AM?\nAnswer: 141","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (99\/(-9) + 13)\/((-2)\/(-5)). Let v(u) = 2*u**3 - 5*u**2 + 5. Let x(z) = 7*z**3 - 14*z**2 + 14. What is l*x(q) - 14*v(q)?\nAnswer: 7*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -9121\/916 at least -11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2747190 and 1373595?\nAnswer: 2747190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 1c36 (base 14) to base 6\nAnswer: 35452","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.7 + 2.7. Let q = 3 - o. Let d = -5 - -15. Which is the second biggest value? (a) q (b) d (c) -1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(1216)*5 + sqrt(1216) + sqrt(1216) + -1 + -4 + 1*(-2 + (sqrt(1216) - (sqrt(1216) + -2)))*1)**2.\nAnswer: -896*sqrt(19) + 59648","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1928 + 1937. Solve 5*d = -k - n, 3*d - 5*k + 0 = 17 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (4\/(-5))\/1 - 319\/(-55). Solve -3*x - n - 4 = 0 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -28531 to the nearest 10000.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 214177548 divided by -3\nAnswer: -71392516","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -v**2 + 8*v - 3. Let z be q(5). Suppose -18 = -5*h + z. Suppose 1 - h = -g. List the prime factors of g.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 155 - 95. Let s = w - 301\/5. Let k = -0.1 - 0.4. Sort 3, k, s in descending order.\nAnswer: 3, s, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by -397664?\nAnswer: 1\/198832","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 3, 94, -18, 2, 15 in descending order.\nAnswer: 94, 15, 3, 2, -5, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*i**3*o**3 + 47*i**3 + 24*o**3 wrt o.\nAnswer: 9*i**3*o**2 + 72*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 3*x + 50 = 0, -2*x + x = -2*h + 42. Let j = 219 - 217. What is the greatest common divisor of j and h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -78 (b) 1\/11 (c) -2\/5 (d) 0 (e) 2 (f) -0.443\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 342, 670, 998, 1326?\nAnswer: 1654","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that -3*o**4 + 9*o**3 + 111*o**2 + 99*o - 216 = 0.\nAnswer: -3, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in five quarters of a microgram?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -548466*d**2*s**4 + d**2*s**2 + 2*d**2*s + 215450*d**2 - d*s - 2*s + 2 wrt s?\nAnswer: -6581592*d**2*s**2 + 2*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 0.548, -5, -2?\nAnswer: 0.548","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1458949 to the power of 1\/3, to the nearest integer?\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**2 - 9383235*q - 75065944.\nAnswer: (q - 9383243)*(q + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = 28*h - 29*h + 334, -15 = -5*i. What is the remainder when h is divided by 39?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bxnn when four letters picked without replacement from nbbbbbnbnnxbbb?\nAnswer: 9\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.21 + 0.01. Let o = 1.1 + -0.1. Which is greater: k or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 11671\/21855 + -1\/1457. Let l = 29011\/34620 + -70\/577. Let a = l + r. Put 2\/13, 0.3, a in ascending order.\nAnswer: 2\/13, 0.3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*y - 259970 = -6*y - 6*y. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 3*a + 11. Determine b(-8).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 12 + -13. Suppose -4*f + 5*f + 5 = 0. Let m = y - f. What is the units digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -31 divided by 1786\nAnswer: -31\/1786","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = a**2 + 2*a. Let t be b(-3). Suppose -t*v + 635 = -5*r - 1376, 3*r = 3*v - 2001. What are the prime factors of v?\nAnswer: 2, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 4633352, 4633353, 4633354, 4633355, 4633356?\n\"Answer: p + 4633351","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.0964 + 4.9936. Let i = z - 0.09. What is the nearest to -1 in -3, i, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 966 = 3*x + 2*x, 0 = 2*x - v - 382. Is 16 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 262*w**2 + 228*w**2 - 495*w**2.\nAnswer: -5*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the second derivative of -w**7\/21 - 8*w**6\/15 + 2*w**5\/5 + 16*w**4\/3 - w + 19. Find y, given that t(y) = 0.\nAnswer: -8, -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*f - 3*f = -6. Sort 27, f, 0 in descending order.\nAnswer: 27, 0, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*u - 27*u - 5*l = -179, -2*u = -3*l - 371. What is the greatest common factor of u and 253?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3531676823653 less than 0.5?\nAnswer: 3531676823653.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8\/(-2))\/((-54)\/(-18))?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 67\/3 and -109\/104.\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = h**3 + 21*h**2 - 4062*h + 695. Calculate c(54).\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Total of -2 and 92142.\nAnswer: 92140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + 6*sqrt(2448)*-4*-6*3*6 + 0 + 4)**2.\nAnswer: 16446799872","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -421\/9 + 47. Let a = -0.2 - -1.2. Which is greater: g or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -0.3, -1, -88 in increasing order.\nAnswer: -88, -1, -0.3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 9*g**3 - 3*g**3 + 2*g**3 + (1 - 1 - 5*g)*(3*g**2 + 4*g**2 - 4*g**2) as s*g**2 + l*g + f + r*g**3 and give r.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ddddddnddddddddddn. Give prob of picking 1 d and 2 n.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -y**3 - 6*y**2 - 5*y + 6. Let m be w(-5). Suppose -m = -3*x, 0*x + 77 = 5*t + x. What is the greatest common factor of 10 and t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 35175 is divided by 201?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 42 - 10. Suppose -b + 3*x - 114 = -3*b, x + 193 = 3*b. Let d = -30 + b. Is y less than d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 191 is divided by 48?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10 (base 3) to base 12.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 2, k: 2, v: 1, n: 1}. Give prob of sequence kw.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 62051428 + 4296.3\nAnswer: 62055724.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 188*f - 1858. Let w be y(11). Solve -i - w = 29*i for i.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (45\/9)\/((411\/1370)\/((-6)\/4))?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 2 (b) 2\/11 (c) 0 (d) -66 (e) 2\/233\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1227089921?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen halves of a decade in months?\nAnswer: 1020","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -2*k - 2. Let w be q(-2). Suppose -w*o + 47 - 270 = -5*c, -2*o = 8. What is the greatest common divisor of c and 301?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 173 divided by 17851?\nAnswer: 173\/17851","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 43233263 to the power of 1\/3, to the nearest integer?\nAnswer: 351","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1716 is divided by 45?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -2, 4, 27, 3 in descending order.\nAnswer: 27, 4, 3, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = t - 5*t. Solve -3*o + t*g + 35 = 4*g, 0 = o + 4*g - 25 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 60 != -40698?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 2*j - 558 = 0, -a + 3*j - 147 - 28 = 0. Let d = 105 + a. Let x = d + 149. Calculate the greatest common divisor of 14 and x.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4127*f - 360 = 4163*f for f.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -11644 + 11653. Sort 1, -2, t, -32, -4.\nAnswer: -32, -4, -2, 1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5898*k - 1941*k - 3785*k as m*k + j and give m.\nAnswer: -11624","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 7*d - 22. Calculate f(4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 310596229?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:47 AM and 4:05 PM?\nAnswer: 678","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -r - 6. Let b = 137 - 186. Let g(f) = -7*f - 49. Give b*l(d) + 6*g(d).\nAnswer: 7*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**4 - 113*k**3 + 3133*k**2 + 3477*k - 6498.\nAnswer: (k - 57)**2*(k - 1)*(k + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hmmh when four letters picked without replacement from mqhhhvvmmmmqmmmmhvh.\nAnswer: 5\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 97 = -5*o, 0*c + 3*c + 2*o = 83. What is the remainder when 173 is divided by c?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 90 and 330?\nAnswer: 990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 99163 to the power of 1\/3, to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(448) + 1)*3 + -3 + sqrt(448)*-2)**2 + (sqrt(77) - (sqrt(77) - sqrt(77)*1)*-2)\/(5*sqrt(44)\/sqrt(4)).\nAnswer: sqrt(7)\/5 + 448","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -100010 (base 3) in base 4?\nAnswer: -3312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -129*t**2 + 69*t - 4. Let u(p) = -83*p**2 + 45*p - 3. Let f(y) = 9*o(y) - 14*u(y). Suppose q - 8 = -1. Determine f(q).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 330 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: Which is the biggest value? (a) 1 (b) 280\/13 (c) -1 (d) 3 (e) 46 (f) 79\/4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) be the third derivative of -j**6\/120 + j**5\/6 + 5*j**4\/12 + 19*j**3\/6 - 34*j**2. Let n be h(11). Which is bigger: 10 or n?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:52 AM and 10:22 AM?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o**(-2\/11)*o)\/o)\/o**(-8))\/(o*o\/o**(-2\/7))**7 assuming o is positive.\nAnswer: o**(-90\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -20*y + y**2 + 5*y - 42 + 7*y + 0*y**2. Is p(18) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -10, 10, -99, -1, 16 in increasing order.\nAnswer: -99, -10, -1, 10, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 98*i - 32 - 106*i - 20. What is the tens digit of r(-18)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 73080 and 3?\nAnswer: 73080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -81952*m**2 - 79107*m.\nAnswer: -163904","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3358 and 6900.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -2*f + 6. Let m be g(5). Let j(i) = i**2 - 61*i + 338. Let q be j(55). Is -2*(955\/4)\/(m\/q) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l**2 + l. Let j(y) = -y - 2. Let u be j(-3). Let s be g(u). Solve -s*v = v - 15 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that -k**5 + 3339722*k**4 + 6679449*k**3 - 3339722*k**2 - 6679448*k = 0.\nAnswer: -2, -1, 0, 1, 3339724","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -2*r**2 - 8396*r - 67079. Determine p(-8).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 31*h**2 - h. Let p be f(-1). Suppose -2*k + p = -150. Does 12 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the second derivative of -q**4\/36 - q**3\/3 - 4*q**2\/3 + 3*q. Solve n(d) = 0 for d.\nAnswer: -4, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 71*c + 9734 = -51*c - 192*c for c.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = n**3 + 51*n**2 - 405*n + 63. What is p(-58)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 + 0 - 221*q - 4 + 293*q.\nAnswer: 72*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -c + 12. Let w be y(9). Let s be (w\/(-2) + 2)*(3 - -1). Find d such that -5 + 0*d + 12*d + 3*d + 17 + 3*d**s = 0.\nAnswer: -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -822491\/234 + 3515. What is the common denominator of k and 41\/195?\nAnswer: 1170","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ukuuuwknuknmkunr. Give prob of sequence urmw.\nAnswer: 1\/7280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -461184, -923565, -1385946?\nAnswer: -1848327","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 f when four letters picked without replacement from {f: 9, z: 7}?\nAnswer: 9\/130","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/3 (b) -6\/2261 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s**2\/13 - 63813392*s\/13 + 63813390\/13 = 0 for s.\nAnswer: 1, 31906695","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of (-3 - 1)*(-186)\/24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000702 to four dps.\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6679\/80 + 167\/2. Let v = 13\/16 - t. Which is the third smallest value? (a) -0.54 (b) -0.5 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kcc when three letters picked without replacement from ccckckkckkkkc?\nAnswer: 35\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1227 + 8*n**2 + 1227.\nAnswer: 8*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 3*i**2 + 3*i + 1. Let u(k) = k + 1 - 2 + 2. Let r = 4 + -7. Let y be u(r). Calculate t(y).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 6*d**2 - 2*d. Let p be b(-3). Which is smaller: 61 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 592 minutes before 6:57 AM?\nAnswer: 9:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 2*h**3 + 37*h**2 + 53*h - 18. Calculate l(-17).\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:37 PM and 6:21 AM?\nAnswer: 644","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - 2*h + 18 = 0, 0*g - 2*h - 18 = -4*g. Suppose -4*m + 54 = g*b + 2, 2*m + 4*b - 36 = 0. Is 8 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 8 and 548928?\nAnswer: 548928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 6\/(-42) + (-716)\/(-14). Let v = -75 + i. Let z = -1 - v. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6696 and 2694438?\nAnswer: 334110312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 52\/(-26)*(-5 - -3).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -32, 3, 209, -5, 0, 2 in ascending order.\nAnswer: -32, -5, 0, 2, 3, 209","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Add 3.515 and -36.3.\nAnswer: -32.785","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 160215685 to the nearest integer?\nAnswer: 543","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 646.4891 nanograms?\nAnswer: 0.0000000006464891","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the first derivative of m**2 + 1305. Let i(a) = -156*a. What is i(k(g))?\nAnswer: -312*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -4*k - 5. Let b(s) = 2*s + 3. Let y(j) = 10*b(j) + 6*p(j). Let x(r) = -11*r. Let u(o) = -3*x(o) + 8*y(o). Let a(d) = -29*d**2. Determine a(u(i)).\nAnswer: -29*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3 - 11323322122?\nAnswer: -11323322113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*g - 5 + 13. Solve -g*x = -8*x + 6 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + -4 + (-1*sqrt(208))**2 + -1 + sqrt(208) + 5 + -5.\nAnswer: 4*sqrt(13) + 199","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4, -15, -40, -85, -156?\nAnswer: -259","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6842 is divided by 30?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56506 = 13*b + 41150. Are -7512 and b equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - -3 - 3 - (-5 - -3).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + k + 24 = 5*k, 13 = 2*v + 3*k. Let y(d) = d + v*d - d + 2*d. Let l(o) = 3*o. Calculate l(y(i)).\nAnswer: 21*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1\/(26\/(-4)) + 324450\/650. Let d = l + 425. What are the prime factors of d?\nAnswer: 2, 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 10449125 and 417965.\nAnswer: 10449125","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 155 divide 5788475?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 + 5 = 4*k + 2*v, -4*k + 9 = 3*v. Suppose 0 = 5*g + 5, 3*g - 37 = -2*b + k*g. Let w = b - 12. What is the units digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4307827 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2481*a**4 + 2484*a**4 + 1 - 1176*a**2 - 4964*a**4 + (3*a - 2*a**2 - 3*a)*(-6*a**2 + 2*a**2 + 0*a**2).\nAnswer: 9*a**4 - 1176*a**2 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = v. Let z(r) = -3*r - r + 2*r. What is u(z(y))?\nAnswer: -2*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11 + -1100?\nAnswer: -1111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2674 - 160433\/60. Find the common denominator of f and -29\/3.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -5*(-2)\/((-20)\/(-6)). Suppose 4*j = 5*f - 0*j + 165, z*f + 82 = -j. Find the common denominator of f and 33\/5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = p - 133, 10*p - 3*o - 599 = 5*p. Calculate the remainder when p is divided by 35 + (-64)\/(-4) + -10.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1 + 7. Let q be (-22)\/60 + c\/36. What is the closest to 0.1 in q, 2, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 264 and 6?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 2*q**2 - 5*q + 1. Let o = 32 - 7. Suppose -12 = -4*w - 4*n, 2*w + 5*n + o = 7*w. Give b(w).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 5064502 to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-678 - 24*i**3 - 28*i**3 + 676)*(-3*i - 6*i + 2*i).\nAnswer: 364*i**4 + 14*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is y in 5*y**2 - 270*y - 1475 = 0?\nAnswer: -5, 59","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1509 is divided by 501?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*v - 7846 + 8056. What is the remainder when 419 is divided by v?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 1, e: 1, b: 1, x: 1, o: 1}. What is prob of sequence xoq?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 113*s**3 + 227*s**2 + 2*s + 291342 wrt s?\nAnswer: 339*s**2 + 454*s + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 35.12967 grams?\nAnswer: 0.00003512967","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 4*r**3 - 16*r**2 - 50*r - 33. Calculate p(7).\nAnswer: 205","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -78*c + 2003. What is the thousands digit of d(-57)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -689*o**2\/4 - 170*o + 9\/4 = 0. What is o?\nAnswer: -1, 9\/689","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iiiiii. What is prob of sequence iii?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -518670 divided by -13\nAnswer: 518670\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the second derivative of d**3\/6 - 7*d**2\/2 - 6*d. Let w be o(10). Solve -w*f - 8 - 1 = 0 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*l - 337 = -346 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 481 - 3594 = -4*h, 4*u = 2*h + 4158. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -14 + -2. Let v = -21 - k. Is 19 a factor of v\/15 - (-381)\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 50, -100, -430, -1000, -1870, -3100, -4750, -6880?\nAnswer: -9550","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 7 = h, 4*h + 0*w + w - 7 = 0. Suppose 3*l + 86 = 2*i - h*l, -i = 4*l - 56. Does 16 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 18 = -i, -i - i + 28 = 4*b. Find the second derivative of i*w + 6*w + 4*w - 20*w**5 + 16*w wrt w.\nAnswer: -400*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 3*t - 11. Let d = t - -13. Let n be -4 + 2 + (-13)\/((-13)\/d). Solve 0 = b, -4*b - n = 2*u + 2*u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the first derivative of r**4\/4 - 2*r**3 - r + 13. Let w be s(6). Is 5 a factor of (-3)\/(((-1)\/w)\/(35\/(-21)))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 5366?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the third derivative of -r**8\/48 + 2*r**5\/15 + 12*r**2. What is the third derivative of y(k) wrt k?\nAnswer: -420*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -17401, 5.\nAnswer: -17401, -6, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 3*o + 6288 = 0. Suppose 3*m - o + 274 = 0. Suppose -4*x + 5*x + m = 0. Round x to the nearest ten.\nAnswer: -260","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) be the first derivative of 29*t**6\/2 - 29*t**2 - 117. Find the second derivative of j(n) wrt n.\nAnswer: 1740*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 6) to base 14\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 96, 4, -1, -2879 in descending order.\nAnswer: 96, 4, -1, -2879","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -q**3 - 5*q**2 - q - 1. Let b be j(-5). Let o be 1\/b*-6*-12. Suppose 0 = a + i - 18, -2*i = -a + 2*i + o. What is the tens digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r**2 - 231*r**3 - 29 + 450*r**3 + 7*r**2 + 5*r - 220*r**3 - r. Let z be s(8). Solve -8 = z*i + 1 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 157*d - 5*u + 155 = 162*d, -3*d + 6*u + 57 = 0 for d.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 546 and 56?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -8 + 5. Let l be 6\/21*7\/13. Which is the second smallest value? (a) -0.1 (b) l (c) m (d) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -u. Let r = 62 + -58. Let g(t) = -r*t + 10*t - 3*t. Calculate p(g(b)).\nAnswer: -3*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = 3*s - 21, 713*s + 33 = 716*s - 3*w. Let k(h) be the first derivative of s + 8*h**2 - 23\/3*h**3 - 3\/5*h**5 - 4*h + 7\/2*h**4. Solve k(a) = 0.\nAnswer: 2\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 3*u + 13. Let d(v) = v. What is y(d(g))?\nAnswer: 3*g + 13","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*4*sqrt(78) + sqrt(78))\/sqrt(6) + (-4*sqrt(52)\/sqrt(4) - (-3 + sqrt(52)))**2.\nAnswer: -23*sqrt(13) + 477","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -67\/234 and -19\/156?\nAnswer: 468","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -7*a + 30. Determine s(-6).\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1\/(-3)*(3 - 3). Let n be 48\/22 - (-22)\/(-121). Suppose n*g + 2*i - 752 = z, 3*g + 3*i = 8*i + 1104. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -360, -362, -364?\nAnswer: -366","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 1498*l - 1570*l + 288. Calculate the smallest common multiple of l and 663.\nAnswer: 2652","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -87 + 214. What is the tens digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2044262797.\nAnswer: 43721, 46757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -4*i - 14. Let q be h(-3). What is the nearest to 2 in -1, 2, q?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 7*y**2 + 94*y + 21. Let v(a) = a**2 + 15*a + 3. Let o(h) = 4*f(h) - 26*v(h). What is o(7)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -164*w + 9. Let o(v) = 41*v - 2. Give -2*l(u) - 9*o(u).\nAnswer: -41*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -89*o = 91*o - 177*o - 12. Is -3.9 >= o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -28.41*31.02.\nAnswer: -881.2782","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 44440 and 15436840?\nAnswer: 4040","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.8 and 70808?\nAnswer: -56646.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -9927781515298 + -9.\nAnswer: -9927781515307","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 = 7*g - 4*g. Suppose 10*q = g*q - 86. What is the tens digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -11 - -15. Suppose 4 = 2*n - g, 0*g = -2*n - g. Let p = u + n. Solve 0 = -0*l + p*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*t - 4*u + 25, 0*t = -2*t - 5*u + 27. Let c = 6 - t. Suppose 0 = 2*y - 2*q - 0*q + 12, c*q = 2*y + 27. Round y to the nearest 10.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 20 and 2.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Product of 10.2 and -2229.4.\nAnswer: -22739.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*c = 5*c. Suppose f = -5*m + 23, c = 3*f - 3*m + 1 + 2. What is the third biggest value in 6, f, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -22, -32, -44, -58, -74, -92, -112?\nAnswer: -134","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w*((w\/(w**(-6)\/w))\/w)\/w)\/w)\/(w*w**(-1\/5)))\/(w*w*w*(w*w**(-3\/4))\/w*w\/w**3)*((w**2\/w)\/(w**(-1\/7)\/w))\/(w*w\/w**(1\/4))**(-27) assuming w is positive.\nAnswer: w**(1902\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 147 is divided by 50?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 115922 - 79984. What is the highest common factor of 34 and l?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve z = -3*y - 11, 5*y - 9 - 6 = 5*z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(66) + sqrt(66)*1)*-6)\/(sqrt(24)\/(sqrt(4) + sqrt(12)\/sqrt(3))) + 4 + (3*sqrt(1331)*-1)**2.\nAnswer: -24*sqrt(11) + 11983","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -2564.091 rounded to the nearest ten?\nAnswer: -2560","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-246192)\/7452 - 1\/(-27).\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -26*b + 258. Let j be y(11). Put j, -2, 4 in descending order.\nAnswer: 4, -2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -134 + 565 - 2*s - s.\nAnswer: -3*s + 431","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + -21 - (-86 + 15) - -10.\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 + (-3 + 4 - (-31 + 37))?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -17 - -21. Calculate the greatest common divisor of s and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 200 and 20750.\nAnswer: 83000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the first derivative of -1\/2*a**4 + 0*a + 17 + 0*a**3 + 2\/5*a**5 + 0*a**2. Determine y, given that x(y) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2372 divided by -5?\nAnswer: 2372\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dx when two letters picked without replacement from {f: 1, x: 2, d: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that h**4\/3 + 6428*h**3 + 61177174*h**2\/3 - 102176241860*h + 252666761295025\/3 = 0.\nAnswer: -11077, 1435","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 3 = 2*z. Let d = 129 - 128.98. Put d, z, 0.1 in descending order.\nAnswer: 0.1, d, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -4*o - 5. Let s(l) = 15*l - 6. Let b be s(4). Calculate the remainder when (0 + o - -3) + b is divided by 28.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*c**4 - 3*c**3 + 3364821*c**2 - 5*c + 7747538.\nAnswer: 36*c**2 - 18*c + 6729642","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3059 and 6601?\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*w - 568 = -187*z, w + 152*z = 154*z - 5 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:36 PM and 6:22 PM?\nAnswer: 286","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.3 and 14228835.\nAnswer: 14228834.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - (10 + (-4 - 7))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41*h = -130 + 7 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uzezozn. What is prob of picking 1 u, 1 z, and 1 o?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10022161?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 3 + 3 + (-4 + 4 + 1)*(-2 - 4 + 5) + 3 - 1 - 1 + (1 - 3 + 3)*(3 - 6 + 1))*(-4*z**5 + z**5 + 7*z**5).\nAnswer: -4*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -271, -158, 53, 374, 817, 1394, 2117?\nAnswer: 2998","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 3609065220?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-89)\/((-4806)\/81)*(-1)\/((-6)\/(-16))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.3042552 to one dp.\nAnswer: 1.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -29, -105, -231, -407, -633, -909?\nAnswer: -1235","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m*(m\/(m**(-2\/23)*m))\/m))**(-1\/2) assuming m is positive.\nAnswer: m**(-21\/46)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -23373\/8 or -2921?\nAnswer: -23373\/8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i**3 + 2*i**2 - i - 4. Calculate g(2).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 + 7 + -13 + -1?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 6a3920 - -4?\nAnswer: 6a3924","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1 + -4. Let m = 2 + x. Calculate the common denominator of (1 + 2\/(-4))*m and 99\/20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 0 and -522\/389 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 12 - 8. Let d be (-1304)\/40 - 2\/5. Let n be 1\/(-2) + d\/(-6). Solve 2*w - 10 = n*l + 7*w, g*l + 12 = -2*w for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = b**3 - 9*b**2 - b + 13. Let d be j(9). Let a(u) = 4 + 3 - 4*u + 3*u + 7. Let n be a(10). Solve 5*y - 10 = n*g, -d*y + 10 = g + y for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 5*r + 1. Let z(i) = -6*i - 1. Let j(y) = 2*y**3 + 157*y**2 - 70*y + 715. Let d be j(-79). What is d*a(w) + 3*z(w)?\nAnswer: 2*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*h + 126*h = 55 + 493 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0 + 0. Let n be 36*(-3 - -2 - -2). Suppose a = -c + n + 17. What is c rounded to the nearest ten?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 21 + 668?\nAnswer: 689","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 373822961 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -a**3 + 24*a**2 - 24*a + 41. What is the tens digit of l(23)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + b = -3*i + 649, 0 = 4*i + 5*b - 857. What are the prime factors of i?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 15*4468\/24 - 8\/(-16). What is the highest common factor of h and 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 148 is divided by 79?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -2*a + 54. Let g be 6\/(-4) + 1 + 86\/4. Let k be m(g). Suppose 3*i - 2 = 2*n, n = i - 0*n - 1. Which is bigger: i or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 76900 and 0?\nAnswer: 76900","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1 - 0.9. Let y be (-421)\/(-9) - (-10)\/45. Let r be 3 + (y\/(-12) - 3\/(-18)). Which is the closest to -0.1? (a) -0.1 (b) g (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 247180 is divided by 1498?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:12 PM and 4:50 AM?\nAnswer: 578","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*b + 2310 = 67*b. Calculate the remainder when b is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -38*s + 33*s + 20 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 2 = v, 4*d - 8 + 2 = -3*v. Suppose -2*l + 2*s + 96 = 4*s, d = 5*l + s - 228. List the prime factors of l.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 5 - 3 - 5 + 2. Let w(i) = 6*i - 9. Give 18*r(m) - 2*w(m).\nAnswer: -12*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1\/6 of a day?\nAnswer: 14400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 6003, 5150, 3729, 1740, -817, -3942, -7635?\n\"Answer: -284*s**2 - s + 6288","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4804 and 4.\nAnswer: 4804","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12529?\nAnswer: 11, 17, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*-3*(1*sqrt(68)*-4 + sqrt(68)))\/(sqrt(2304) + (sqrt(2304) - 2*sqrt(2304)) + sqrt(2304) + sqrt(16) - (sqrt(16) + -2*sqrt(2304))).\nAnswer: sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + (-10 - ((-4 - (14 - 9)) + 2 + -75)).\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -x - 2*f + 6*f + 28, 2*x - 56 = 5*f. Let s be ((-180)\/27)\/((-2)\/9). Which is greater: x or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0*1\/3 + 16. Let f = u + -2. Calculate the remainder when f is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = f**3 - 13*f**2 - 20. Determine y(13).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -0.4 (b) -1\/3 (c) 4\/15 (d) 91\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9 + (-17 - -14) - -19) + (-29 - 1)?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1241, -1229, -1209, -1181, -1145?\nAnswer: -1101","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -11182, -89450, -301902, -715630, -1397726, -2415282, -3835390?\n\"Answer: -11182*m**3 + 6*m - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 2\/3, 4\/9, 0.4, -4, 5\/2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + -4 + 5*(sqrt(45)\/((2*sqrt(9) + sqrt(9))*6) + -1) + 3)**2.\nAnswer: -5*sqrt(5) + 26369\/324","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6279 is divided by 348?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 1891*5.1\nAnswer: 9644.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 960983 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9)\/60*(-1)\/((-27)\/24).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-4*(1*sqrt(68) - sqrt(68))*-6 + (sqrt(68)*-2 + -2)*-3).\nAnswer: 6 + 12*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-204)\/90 + (-4)\/10?\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4997 plus -0.40338907?\nAnswer: 4996.59661093","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 2366 take away 484.503?\nAnswer: 1881.497","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -m**2 - 9*m. What is r(-10)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((1*-1)\/(-18))\/(149\/(29055\/1300)). Let m(x) be the third derivative of -1\/6*x**3 + 0 + 0*x**5 - b*x**6 - 32*x**2 + 0*x + 1\/24*x**4. What is m(-2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7*c*q**5 + c*q**3 - 2*c*q**2 - 2*c*q - 15*q**5 + 26*q**2 wrt q.\nAnswer: -420*c*q**2 + 6*c - 900*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -8*o + 838*o**2 - 416*o**2 - 421*o**2 + 4. Let r(d) = -2*d**2 + 16*d - 7. Calculate -5*q(v) - 3*r(v).\nAnswer: v**2 - 8*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 14183340 to the nearest ten thousand.\nAnswer: 14180000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -21 + 3418381353.7?\nAnswer: 3418381332.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(567)*3 + sqrt(567))\/(sqrt(45)\/(sqrt(15)\/sqrt(3))).\nAnswer: 12*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6 (base 14) to base 12.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*b**3*h**3 + 46*b**3*h**2 - b**3*h*o - b**2*h**3*o wrt h?\nAnswer: 24*b**3 - 6*b**2*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*v**2 + 70 - 60 - 81 to o*v**2 + i*v + d and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -80.8 times -0.7\nAnswer: 56.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = x + 2*x. Let k be (2 - x)\/(8\/20). Let u(g) = -g**3 - 7*g**2 - g - 1. Let b be u(-7). Solve k*z + 3 = b*z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10802 to the power of 1\/2, to the nearest integer?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 147\/6 - (33\/6 + -5). What is the common denominator of (105\/36)\/(3\/v*2) and 59\/15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0 - 6. Calculate the common denominator of 27\/14 and (-102)\/10*p\/36.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.23 - 0.082. What is l rounded to 2 decimal places?\nAnswer: 0.15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) be the first derivative of 2*u**3\/9 + u**2 + 4*u\/3 + 5. Solve f(c) = 0 for c.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert c (base 15) to base 7.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1871564*c**2 + 1903889?\nAnswer: -3743128*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -35, -125, -275, -485, -755, -1085, -1475?\n\"Answer: -30*y**2 - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(-78)*3 - (-54)\/13?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -5*k**2 + 159*k - 784. Determine a(5).\nAnswer: -114","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1100)*2*5 - (sqrt(1100)*2 - sqrt(11))*-1)*4.\nAnswer: 476*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.4, -2\/2683, -2153.3, -0.5, 1\/8?\nAnswer: -2153.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(133)*-2 - sqrt(133) - (-2*3*sqrt(133) - sqrt(133)))\/((sqrt(504)*-2)\/(sqrt(8) - (-2*sqrt(8) + sqrt(8) - sqrt(8))*-3)))**2 + -2.\nAnswer: 11857\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 577591?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - 23 - 2 = 0. Which is the nearest to 1? (a) -4 (b) t (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -11*z**5 - 17*z**4 + 3*z**3 - z**2 - 10*z + 6. Let s(v) = -13*v**5 - 19*v**4 + 3*v**3 - 2*v**2 - 11*v + 7. Let b(o) = 6*s(o) - 7*y(o). Factor b(l).\nAnswer: -l*(l - 4)*(l - 1)**2*(l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.025 - -2.205. Let u = z - 0.18. Are u and -1\/3 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*h**2 + 389775*h - 4676580.\nAnswer: -5*(h - 77943)*(h - 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Do 1990 and 25854\/13 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-30)\/(-35)*3*70\/(-60)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*q - 19*q = -8, 0 = -2*c - 16*q - 72 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11844477 is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from oooooooooooououooo. Give prob of picking 4 o.\nAnswer: 91\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, -279, -2 in decreasing order.\nAnswer: -2, -7, -279","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4 (b) -1 (c) 0.5 (d) 5 (e) 32 (f) -16 (g) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q**2 + 2672*q + 71410. What is f(-27)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3765328 to the nearest integer?\nAnswer: 1940","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-763)\/(-17) + ((-1216)\/3536 - 48\/(-104)). Suppose -d = 2*d - 6. Suppose 58 + 14 = d*t. Calculate the greatest common divisor of t and q.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1289622, 2579600, 3869588, 5159592, 6449618, 7739672, 9029760, 10319888?\nAnswer: 11610062","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.0011 or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 41*y. Let i(n) = -104 + 23*n**2 - 72 + 176. Calculate i(c(t)).\nAnswer: 38663*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*h + 15, f + 7*h - 3*h = -5. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0 + -2 + 1 + 4. Suppose -n + z + 9 = 5*z, s*n - 11 = 4*z. Suppose 2*h - 49 = 3*g, -h = 2*h - n*g - 75. Solve 2*y + h = -2*y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a meter in millimeters?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 5477828 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -5*k**3 + 95*k**2 - 103*k + 138. Give i(18).\nAnswer: -96","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = -4*f + 224*c, 3*c - 897 = 2*f - 899 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1 + -58?\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 3962900 to the nearest 100000.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 451, 1, 1\/6, -1\/7, 0.2, 3 in decreasing order.\nAnswer: 451, 3, 1, 0.2, 1\/6, -1\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.37613 to one decimal place.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -30.57 - -30.57. Let w(u) = -u**3 + 3*u**2 - 3*u + 3. Let q be w(2). What is the biggest value in 3, q, 3\/4, o?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.5 and 43.\nAnswer: -21.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that 8\/5*c - 4*c**2 + 0 - 8\/5*c**3 + 4*c**4 = 0.\nAnswer: -1, 0, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o\/o**(-2\/7))\/o**(1\/3))\/(o**(-1))**(2\/9))\/((o\/(o\/(((o**1\/o)\/o)\/o)))**40\/(o\/(o\/(o**(-1\/4)*o*o)))**(-2\/95)) assuming o is positive.\nAnswer: o**(971219\/11970)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y**(-6)*y*y)\/y*y)\/(y\/y**(-14))*(y\/(y\/y**(-1\/3)))**(-7\/8) assuming y is positive.\nAnswer: y**(-425\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-61*h - 37*h + 24*h)*(-4*h**3 + 5*h**3 + 6*h**3).\nAnswer: -518*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2170.\nAnswer: 2, 5, 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2805 and 3179.\nAnswer: 47685","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - j = -20, -5*m + 3*j + 124 = -0*j. Suppose -4*s = s - n - m, -5*s - n + 17 = 0. What is the units digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -59104 = -2*f - 4*a, 4*a - 118158 = -4*f + 6*a. List the prime factors of f.\nAnswer: 2, 14771","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 8632 and 22048.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (161 - 187) + (3 - -5 - -2) - 2.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -4*h**3 + h**2 - 2*h. Let y be k(1). Calculate the common denominator of 151\/24 and ((35\/(-147))\/y)\/(2\/106).\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13 - (24 + -3) - ((-641)\/87 + 24\/(-36))\nAnswer: 1\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -803 - -757. Let o = 64 + -16. What is the common denominator of o and n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31 = i - 54. Calculate the highest common divisor of 34 and i.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 21, 62, 109, 144, 149, 106, -3?\n\"Answer: -3*u**3 + 21*u**2 - u + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*x + 7*x - 4*x + 3*x - x + 2*x - 3*x + 4*x - 2*x - 2*x + 3 - 3 + (3*x - 3*x - x)*(-3 - 3 + 5) - 4*x + 2*x + 0*x + 4*x - 2*x + x.\nAnswer: 8*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = c**3 + c**2 + 5. Let j(p) be the second derivative of -3*p**5\/20 - p**4\/3 - p**3\/6 - 8*p**2 - 4*p. Let g(y) = -2*j(y) - 7*z(y). Determine g(2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) be the first derivative of -26 + 0*v**5 + 8\/7*v**7 + 0*v**4 + 0*v**6 + 0*v**2 - 13\/3*v**3 + 0*v. What is the third derivative of i(r) wrt r?\nAnswer: 960*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -f - 28*f + 357947. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aaa when three letters picked without replacement from aakkbbabbbabba?\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 4*y**2 + 3*y + 4. Let i be k(-1). Solve 4 = 5*c - i*g - 26, -5*g = -2*c + 27 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 728012 is divided by 643.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + -2 + (-6*(sqrt(637) + -2) - (-1 + sqrt(637) - sqrt(637))*4))**2.\nAnswer: -1260*sqrt(13) + 23157","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 454, -141.\nAnswer: -141, 5, 454","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by -57\nAnswer: -2\/57","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 739143?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 396172?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 21 + -30. Let i be h\/6*(-8)\/22. Let m = -0.03 + 2.03. What is the third smallest value in m, i, -3?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -15*s + 2*s - 5*s - 2*s to x + d*s and give d.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 0 + 2*t + 0. Let w(p) be the third derivative of 2*p**2 + 0*p**3 + 0*p + 0 - 1\/12*p**4. Give w(m(g)).\nAnswer: -4*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the first derivative of -f**5\/5 - f**4\/4 + 13*f**3\/3 + 25*f**2\/2 + 12*f - 1066. Factor j(h).\nAnswer: -(h - 4)*(h + 1)**2*(h + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(99) + (5 + 1 + sqrt(99))**2 - (1*sqrt(99) + sqrt(99) + 4)**2).\nAnswer: -273 - 9*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, f: 1, q: 2, k: 2, o: 2, n: 1}. What is prob of picking 1 o and 1 n?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -109*a - 78*a + 3007669 + 204056 = 0. Is 229 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5 - 19f91?\nAnswer: -19f8c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x**3 + 7*x**2 + 2*x - 12. Let z be q(-6). Suppose 11*j + 3 = z*j. Let 3\/5*w**5 - 24\/5*w + 12\/5*w**2 + 0 - 3*w**4 + 18\/5*w**j = 0. Calculate w.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 36.9 - 37.9. Let f = -26 + 27. Which is the nearest to 0.04? (a) 0.5 (b) f (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000616386 rounded to six decimal places?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (((sqrt(190) + -2*sqrt(190)*-3)*-1)\/((sqrt(60)\/sqrt(6) + sqrt(10))*2*2))**2.\nAnswer: 803\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1500*s**2 + 1 + 18 - 5 - 14.\nAnswer: 1500*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) be the second derivative of h**5\/5 + h**4\/4 - h**2\/2 + 34*h. Let j(n) = 3*n**3 + 2*n**2 - n - 1. Let g(k) = 3*j(k) - 2*q(k). Give g(-3).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/3, -3\/7, 2, 14.2, 17 in increasing order.\nAnswer: -2\/3, -3\/7, 2, 14.2, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) be the first derivative of 0*d**3 + 1\/4*d**4 - 5*d + 0*d**2 + 2. Differentiate m(c) with respect to c.\nAnswer: 3*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 622 = 6*i - 848. What are the prime factors of i?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 4*b = 20, -3*d + 0*b + 30 = 2*b. Let u be 2242\/190 + (-8)\/d. Solve -9*n + u*n = 8 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 51 - 87 - 77*g + 38 to k*g + h and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 2*b - 8. Let r be t(6). Suppose -2*u = -r*u + 4. Solve -4 + u = -2*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -5, 15, 81, 217, 447, 795, 1285?\n\"Answer: 4*m**3 - m**2 - 5*m - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-133)\/95)\/7 + 153\/15. Solve s*d = -0*d - 70 for d.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -51*a**3*s**3 - 6*a**3*s + 38416*a**2*s + 1856*s**3 wrt s.\nAnswer: -306*a**3*s + 11136*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 22\/9 of a hour?\nAnswer: 8800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 197643587.\nAnswer: 197643587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2*2688.\nAnswer: -537.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27025014?\nAnswer: 2, 3, 71, 63439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 3*b**3 + 2*b**2 - b. Let g be d(2). Let u = g + -27. Suppose u*w - 1771 = 2*y, 4*w = 8*w + 5*y - 2392. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = 5*j + 4*u, -32*u + 4 = -30*u. Sort 4\/3, j, -8.\nAnswer: -8, j, 4\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v**3 - 3*v**2 + 3*v - 11. Let d be l(5). Let o be (d\/36)\/(3\/(-2) - -1). Is 32\/(-10) - o - (-531)\/5 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5 - -10. Suppose 0 = -3*t + f*v + 868, -47 = 5*t - 4*v - 1472. Suppose -5*p = 2*z - 347, 0*p - t = -4*p - 5*z. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -f**3 + 6*f**2 + 3*f - 15. Let y be a(6). Solve 0 = -y*r + 8*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 5*k + 8. Let l = 2\/683 - 3423\/2732. Which is the nearest to k? (a) l (b) 3 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 286118 a multiple of 48?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 0 - 11202?\nAnswer: -11202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 1c76 (base 16) to base 4\nAnswer: 1301312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 24219.484 to the nearest 10000.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 246 from -2.0668.\nAnswer: -248.0668","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 4) to base 6.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 12413\/1738 - 180\/79. Let a(p) = -4*p. Let j be a(1). What is the common denominator of 1\/j - 52\/(-18) and i?\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -b**3 - 4*b**2 + 7*b - 5. Let f be w(-6). Let s be (-10)\/f - 17\/(-5). Solve s*u = 4*u + 5 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.1 and 503.019.\nAnswer: 50.3019","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 379 divide 1333720329?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4 (b) 2\/11 (c) -1 (d) 0.05\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that -4*k**2 - 1920*k - 230400 = 0.\nAnswer: -240","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16202890.\nAnswer: 2, 5, 11, 147299","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*d**4 - 2*d**4 - 2*d**4 + ((2*d + 3*d - 7*d)*(3 - 4 + 0) + 0*d + d + d - 4*d - 5*d + 3*d)*(2*d**3 - 6*d**3 + 2*d**3).\nAnswer: -2*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6 + 11. Suppose -b*w + 41 = -19. Calculate the highest common divisor of 8 and w.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1440*a**5 + a**4 + 32*a**3 + 27*a**2 - 16913?\nAnswer: -86400*a**2 + 24*a + 192","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t\/(t\/(t\/(t\/((t\/t**18)\/t)*t))))**(-2\/55))**14 assuming t is positive.\nAnswer: t**(504\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -361 + 404. What is the second derivative of 93*n - 11*n + 67*n - 6*n + l*n**2 wrt n?\nAnswer: 86","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 106, -3, 23, 0, 28 in ascending order.\nAnswer: -3, 0, 23, 28, 106","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -d**3 + 7*d**2 + 3*d - 5. Let z be p(6). Let q = -24 + z. Calculate the remainder when q is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1)\/(-5) - 45\/(-25). Suppose y*j + 27 = 5*f + j, 13 = 3*f + j. Let k be 4*f*(-4)\/(-8). Solve k*w - 5*w = 0 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (k**2 + 2 - 2)*(23 - 23 + 20)*(2 - 1 - 2)*(175 + 55 + 85).\nAnswer: -6300*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2 - 2)*(-y**2 + 0*y**2 + 3*y**2) - y**2 - y + y + (0*y + 2*y + 0*y)*(-y - 3*y + 2*y).\nAnswer: -11*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3*(9 - 124\/12) - -2534. What is the greatest common factor of s and 275?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:14 AM and 11:02 AM?\nAnswer: 408","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 129 and 11?\nAnswer: 1419","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2984, 2961, 2938?\nAnswer: 2915","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7925 - -16214. What are the prime factors of q?\nAnswer: 3, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -1. Let g(n) = 2*n + 10. What is -g(q) - 6*m(q)?\nAnswer: -2*q - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that 5*s**2\/3 + 34769429*s\/3 - 2317962 = 0.\nAnswer: -6953886, 1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 3 + 4)*(-1426*j**2 + 0*j + 1083*j**2 - 4*j).\nAnswer: -686*j**2 - 8*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*i**4 - 2 + 8 - 2*i**2 - 4 + 0*i**3 + i + i**3 to the form g*i**4 + d + r*i + c*i**3 + u*i**2 and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.065 - -57.935. Let a = 57.8 - w. Let n = a + 0.353. What is n rounded to two dps?\nAnswer: 0.15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 72 is divided by (2\/4)\/(17\/204).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 95 a factor of 81425?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -18*j**3 - j**2 - j. Let b(s) = s + 6. Let p be b(-5). Let v be (1 - 2)\/(p\/1). What is the tens digit of k(v)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 - -7677?\nAnswer: 7676.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.6799857 rounded to 3 decimal places?\nAnswer: -3.68","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = 3*u + 6, 0*u + 57 = 5*g + 3*u. Suppose -3*w - 2*m + 18 = w, -3*m = g. Let o = w - 3. Solve p - o - 2 = -f, 0 = 4*p + 3*f - 16 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*1*(-6)\/90*-15.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 4 = 2. Let b(v) = 79 - 2*v**2 - 151 + 70 + 7*v**3 - v. What is the units digit of b(u)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 966.348117 milliseconds?\nAnswer: 0.0000015977978125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 34, 56, 78, 100, 122?\nAnswer: 144","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = -4*m - 10. Let b(f) = f - 7. Let o be b(5). Put m, 1, o in descending order.\nAnswer: 1, o, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1438 - -18696\/13. Is 1\/2 >= z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1662574514?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a hour in minutes?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -19384, -38753, -58106, -77437, -96740, -116009, -135238?\n\"Answer: f**3 + 2*f**2 - 19382*f - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2 - -2.05. Let w = -319668 - -319673. Which is the biggest value? (a) w (b) q (c) -0.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -329*p - 251*p + 1440 = -5520 for p.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-550)\/100 - (-5 - 0)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 29.8525ug?\nAnswer: 0.0000000000298525","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -345867 - -1484867. What is i rounded to the nearest 100000?\nAnswer: 1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*c**4 - 9220*c**2 + 2*c - 49918.\nAnswer: -8*c**3 - 18440*c + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-4 + 2*n + 4)*(3 + 2*n - 3) + n - n - 2*n**2)*(5972*n - 242*n**2 - 5972*n + 1)*(8 + 2 - 1).\nAnswer: -4356*n**4 + 18*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i*i**(-12))\/i)**50\/(i**30)**(-3\/16))**(-29) assuming i is positive.\nAnswer: i**(137895\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2 - -2a5?\nAnswer: 2a3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -8798 smaller than -8800?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.3, 0.5, -0.5, 0.08, -18, -3, 7?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g**3\/2 - 174133*g**2\/8 - 1088181*g\/8 - 130581\/4 = 0 for g.\nAnswer: -43527, -6, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-6120)\/(-17))\/(2\/12). Suppose -k = -24*r + 18*r. What is the hundreds digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = -2*x, -2*x - 30 + 20 = 4*h + 38 for h.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 32508.44 centimeters in kilometers?\nAnswer: 0.3250844","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -14433, -113423, -381539, -903345, -1763405?\nAnswer: -3046283","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -3*b**2 - 15*b + 15. Let n(x) = 0*x - x + 8127 - 8126. Give 60*n(s) - 4*p(s).\nAnswer: 12*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -9 <= 2\/37?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22 divided by 176.\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 289 divide 5926023030?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.191 minus 19?\nAnswer: -19.191","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(140) - sqrt(140)*-2 - sqrt(140) - sqrt(140)) - sqrt(140) - sqrt(140))\/((sqrt(1792)*-1)\/sqrt(4))*-3.\nAnswer: -6*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2222012121 + -111?\nAnswer: 2222012010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 13200011012 (base 4) in base 11?\nAnswer: 1123432","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 15.4799305 + 673720\nAnswer: 673735.4799305","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -16*v**2 + 8*v**2 + 10*v**2. Let r(l) = 2*l**2. What is d(r(j))?\nAnswer: 8*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 358, 342, 316, 280, 234, 178, 112?\n\"Answer: -5*j**2 - j + 364","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*y + 1 = -13. What is the units digit of (108\/(-72))\/(y\/(16\/(-3)))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 138347, -39, 5, 2 in increasing order.\nAnswer: -39, 2, 5, 138347","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 88602 and 174.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 3699*h - 18111. Determine r(5).\nAnswer: 384","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 + 1 - (262 + -248)) + 17.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 5*d**3 - 2*d + 18*d**3 - 25*d**3 to w*d**3 + s + j*d + f*d**2 and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z**2 + 109983*z + 54992 = 0.\nAnswer: -1\/2, 54992","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-6)\/(-12) - 3\/(-2). Let v be ((-2384)\/20)\/(z\/(-10)). What is the tens digit of 1\/5 + v\/20?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -2*f**3 + 85*f**2 + 66*f - 243. Does 27 divide s(41)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4391.2 + -4391. What is the closest to -1 in -1\/61, h, 0.1?\nAnswer: -1\/61","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -321 - -325. Let b(z) be the second derivative of 0*z**2 + 3\/10*z**5 + 0*z**3 + 0*z**a + 9\/10*z**6 + 1\/2*z**7 + 0 - 5*z. Factor b(k).\nAnswer: 3*k**3*(k + 1)*(7*k + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -e25 (base 15) in base 2?\nAnswer: -110001110001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -8*f. Let q(l) = 3*l + 8. Calculate a(q(o)).\nAnswer: -24*o - 64","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m**(-31))\/(m*m**(-6\/7))*m\/(m**24\/m)*m*m\/(m\/(m*m**45*m*m)*m*m) assuming m is positive.\nAnswer: m**(-36\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 13160974 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3319 to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 176\/12 + -3 + -1. Let k = -11 + j. Suppose 19 + 69 = -4*u. Which is greater: u or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 6*o = 2*o - 9, -2*z + 5*o = -7. What is the smallest common multiple of 15 and z?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((f**2 + f**2 - f**2)*(-3*f - 2*f + 4*f) + (-2*f + 0*f + f)*(0*f**2 - 2*f**2 + 4*f**2))*(-163 + 74 + 61).\nAnswer: 84*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.3 (b) -2 (c) -3.51\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1275*q**2 + 3041*q**2 + 2144*q**2.\nAnswer: 3910*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 37.6 and -51100?\nAnswer: -1921360","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49 = -13487*t + 13494*t for t.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nbnnbn. Give prob of sequence bbn.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 93 = 3*b, k - 4*b + 11 + 11 = 0. Suppose 3*x + 6 = -3. What is the least common multiple of ((-2)\/x)\/(12\/k) + 2 and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let s = 325 + 44. Let f = 522 - s. Is f a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 24516, 49037, 73558, 98079, 122600, 147121?\nAnswer: 171642","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -6, 4\/27, -0.0556?\nAnswer: 4\/27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.4542 + -4035420454.\nAnswer: -4035420453.5458","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/(-2))\/(990\/(-1452))?\nAnswer: -11\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -204\/43 - -8483\/1634. Find the common denominator of v and (3\/(-8))\/((-3)\/(-102)).\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -27*b**4 + 9*b**3. Suppose 0 = 5*g - g + 3*u - 49, -3*g + 40 = -u. Let c(h) = -55*h**4 + 17*h**3 - h**2. Let j(s) = g*m(s) - 6*c(s). Factor j(l).\nAnswer: -3*l**2*(l - 1)*(7*l + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = -18 - 14. Let s be ((-8)\/6 - -2)*3. What is the least common multiple of 16\/5 + s\/(-10) and d?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10.248 rounded to one decimal place?\nAnswer: -10.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1646 + -1651 - ((-3 - 44) + 3)?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -3117.9*-3\nAnswer: 9353.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - r = -5, -m + 4*r + 31 = 6. Calculate the remainder when 16 is divided by m.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -274593 + -0.029.\nAnswer: -274593.029","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 584 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -1. Let h(n) = -9. Let u(d) = -d + 37. Let s(x) = 9*h(x) + 2*u(x). Let z(l) = -18*l - 62. Let i(g) = 52*s(g) - 6*z(g). Determine 8*b(p) + i(p).\nAnswer: 4*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -739 + 4*m - m**2 + 765 + 0*m**2. Is i(0) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3498\/88*(-320)\/(-3). Solve -x*k = -4237*k + 6 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 11208\/55 + -805\/11. Let o = -4\/167287 - -731211617\/5855045. Let p = m - o. Calculate the common denominator of 29\/4 and p.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 4 = -3*g + 1, -4*x = 4*g - 16. Suppose -3*u = -8 - x. Let z be 2 + -2*(-7)\/(-6). Which is the nearest to z? (a) u (b) 2\/7 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1235949 = -536*u + 485*u + 1551048. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 4*j = 63. What are the prime factors of j?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0\/((441\/7)\/7)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 70\/9 of a day in minutes?\nAnswer: 11200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*r**3 - 5*r**3 - 10*r**3 + (5 - 3 - 1)*(r**3 - 3*r**2 + 3*r**2) + (1 + r - 1)*(-3*r**2 - 3*r + 3*r).\nAnswer: -20*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 10169 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-10*k + 7*k**2 - 4*k**2 + 34*k)*(-4*k + 46 - 46) to the form h + j*k**2 + v*k + q*k**3 and give j.\nAnswer: -96","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -40*t + 39*t - 97*t + m + 310, 2*t - m = 7 + 15 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 150895505 a multiple of 265?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = z**2 - 2*z - 4. Let q be i(4). Suppose 0*o = q*o - 8. Suppose r = o*r - 45. Calculate the highest common factor of 18 and r.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 + -2 + (-102 - -87).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = i**3 - 8*i**2 - 16*i + 236. Let r be f(8). Let k(u) = u**2 - u + 4. Let g be k(5). What is the greatest common divisor of g and r?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Round -72600 to the nearest 10000.\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 283*y - 141*y - 212*y = 2100 for y.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 44 = 5*l. Let u = l + -12. Let z = -51\/2 - -25. Which is the closest to 1? (a) u (b) -2\/7 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*k**2 - 376*k - 2828.\nAnswer: 4*(k - 101)*(k + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 (base 7) in base 16?\nAnswer: 1c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1.8, -7883, -2?\nAnswer: -7883","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -43\/13239 and 83\/90.\nAnswer: 132390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 2*c = 9. Suppose -5*o - c*r + 35680 + 40194 = 0, -15164 = -o + 3*r. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 144662 and 126?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-4 + -1)\/(1\/(-33)). Suppose -l + 3*x = -0*l - 33, 5*x - q = -5*l. What is the units digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -4*z**3 + 34*z**2 - 11*z - 28. What is h(8)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = r**2 + 7. Let k(j) = -j**3 + 3*j**2. Let w be k(3). Suppose w = 6*n - n. Give b(n).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20186 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: Put -38, -4, -2, 5, 155, 1, 14 in descending order.\nAnswer: 155, 14, 5, 1, -2, -4, -38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1674 and 19158?\nAnswer: 172422","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2486 = 111*c - 113*c. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 167 + -82. Let k = f - 61. What is the greatest common factor of 216 and k?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*f - 58*j + 56*j = -58, 21 = -4*f + 5*j for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2923 is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 6, y: 2, m: 3, b: 3, f: 1}. Give prob of picking 1 f, 1 w, and 1 y.\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -16940, -32080, -47220, -62360, -77500, -92640?\n\"Answer: -15140*q - 1800","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -26 + (-70668)\/(-1040) + 4 + 237\/(-60)?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 4*y = -0*y + 220, -2*t + 4*y = -116. List the prime factors of t.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 711242 - -297397. Suppose 0 = -5*t - 10, l + 2291365 = 3*n - 2*t. Round n to the nearest one million.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -j + 1. Let t(u) = -3*u + 2. Let m(s) = -5*c(s) + 2*t(s). Let p be (2 + -7)\/(-5)*-2. Let h(o) = -2*o - 2. Let y = 3 + 0. Calculate p*h(n) + y*m(n).\nAnswer: n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -114495 - 145.4?\nAnswer: -114640.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 51695923 is divided by 43699.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 108\/(-189)*(-14)\/(-20). Let h = 4.97 + 0.03. Let m = h - 8. What is the second smallest value in -4, g, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s = -10*s - 48 for s.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 (base 8) in base 5?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + -12 - (-1 - 8)\/9.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 833?\nAnswer: 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 16*g**2 + 1. Let s(j) be the second derivative of j**4\/12 + 5*j**3\/3 + j**2\/2 - 19*j. Let p be s(-10). Is 14 a factor of k(p)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 17 + -10 + -16 + 43 - 12\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -h**3 + 27*h**2 - 50*h + 27. Calculate the lowest common multiple of 43 and z(25).\nAnswer: 1161","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lyl when three letters picked without replacement from {y: 11, l: 9}?\nAnswer: 11\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*m - 6 + 78 = 0 for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4\/(12\/9) + 0. Is y less than or equal to -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -4*3\/(-3 - 3). Solve -2*o = -5*u - 3, -u - y = 4*o - 3*o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q = 4*r - 13, -3*q + 186*r + 7 = 193*r for q.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 259 times -1632?\nAnswer: -422688","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -46 - -64. What is the smallest common multiple of n and (9*-1)\/((77 - 83)*(-1)\/(-8))?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2.4 (b) -0.4 (c) 1001\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 977008 by 269.\nAnswer: 3632","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 3*n**2 + 5*n - 7. Let s be d(3). Let f = 21 + s. Suppose 10*c = 6*c + f. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f**(1\/3)*f)\/f)**26)**(-2\/25)*((f*f**1*f*f*f)\/(f\/f**(1\/10)))\/(f**(-1\/2)*f**(-2\/9)) assuming f is positive.\nAnswer: f**(929\/225)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 20136 times 1?\nAnswer: 20136","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12 + 15 - (3 + 4)) + 3.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 2337, 2332, 2325, 2316, 2305?\n\"Answer: -d**2 - 2*d + 2340","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 27106046 to the nearest integer?\nAnswer: 5206","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the second derivative of 0 + 1\/10*c**4 - 10*c + 3\/10*c**3 + 3\/10*c**2. Factor q(v).\nAnswer: 3*(v + 1)*(2*v + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8092 is divided by 56?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1.63 (b) 17.6 (c) 0.1 (d) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 13597 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 784635657 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-21*n + 128*n + 66*n)*(3*n**2 + 0*n**2 - 4*n**2) + 0*n**3 + 2*n**3 + 0*n**3.\nAnswer: -171*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -110278 (base 11) to base 9.\nAnswer: -287406","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (sqrt(832) + 0 + 4 - 1*-1*sqrt(832))*-4)**2*-5.\nAnswer: -268240 - 12800*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 248, 424, 630, 878, 1180, 1548, 1994?\nAnswer: 2530","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.2337076602481 minus -0.4?\nAnswer: -4.8337076602481","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 20*l - 30. Let s(a) = a - 2. Let b(g) = 15*s(g) - u(g). Let f(m) = -25*m. Determine b(f(k)).\nAnswer: 125*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 303, 2, 6, 7 in descending order.\nAnswer: 303, 7, 6, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2668*f**2*q - 11*f**2 - 6*f - 2*q + 128430706 wrt f?\nAnswer: 5336*f*q - 22*f - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 29824721.2 rounded to the nearest 100000?\nAnswer: 29800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -92*w + 43*w + 17*w.\nAnswer: -32*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 48, -2, 27, 17, 9.\nAnswer: -2, 9, 17, 27, 48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -38*x. Let z(w) = 69*w**2 - 84. Determine q(z(a)).\nAnswer: -2622*a**2 + 3192","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51 = -2*q - q. Let z = -3152 + 3156. Suppose z*g = 211 + q. What are the prime factors of g?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -5*a - 9. Calculate g(-3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-18 - 12*m + 18)*(m - 3*m - m)*(1 - 15 - 3) as j + u*m**2 + h*m and give u.\nAnswer: -612","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/13 smaller than 491018?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -13921 bigger than -13927?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00721326 - 179126?\nAnswer: -179126.00721326","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/13)\/(67\/(-67))*(-5)\/10?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1137789 - 624729. Let v = l + -7168943\/14. Let r = 990 - v. What is the common denominator of -17\/20 and r?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 3*u - 1976 = 0, -66*c + 64*c = -3*u - 1006. What is the highest common divisor of 284 and c?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -19931*c**3 + 8026*c**2 - 2 wrt c?\nAnswer: -119586","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -2*f. Let h be 6\/4*8\/6. Let k be 39*((-42)\/(-9))\/h. Let y(b) = -4*b**2 - 91 + k. What is o(y(p))?\nAnswer: 8*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 38868 to the power of 1\/2, to the nearest integer?\nAnswer: 197","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-25)\/(-2))\/((-1)\/(-2)). Let l = c - 17. What is the units digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the first derivative of 0*r**2 - 1\/6*r**4 - 2 + 2*r + 0*r**3. Let k(u) be the first derivative of o(u). Let y(n) = -3*n. Give y(k(p)).\nAnswer: 6*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a microgram in nanograms?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 37.935 * -10.7.\nAnswer: -405.9045","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.029 + -0.029. Let h = 33.02103 - 0.02103. Sort a, 4, 3\/2, h in decreasing order.\nAnswer: h, 4, 3\/2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -21*t**3 - 28*t**2 - 28*t. Let i = -19697 + 19613. Let k(p) = p**3 + p**2 + p. Determine i*k(l) - 3*u(l).\nAnswer: -21*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = g**3 - 13*g**2 - 34*g + 30. What is p(15)?\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (44065*f + 1 - 44257*f + 1)*(5*f**2 - 2*f**2 - 2*f**2).\nAnswer: -192*f**3 + 2*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 193 - 183. Solve -19 = p*n - 69 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2402 + -b0a6?\nAnswer: -104a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 8\/24*(-6)\/(-2)*7. Solve 0 = d - u - g, 4*d - 3*d - 2*u - 12 = 0 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 2 + 2092*y - 2087*y.\nAnswer: 5*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1*3 - 65\/25. Let 0 - 2\/5*z**2 - 2\/5*z**3 + d*z**5 + 2\/5*z**4 + 0*z = 0. What is z?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/7855 (b) 0.03 (c) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**2)**(-45))**(-34) assuming m is positive.\nAnswer: m**3060","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-29 - 4)*(-3 - -4). Put f, -4, -2 in descending order.\nAnswer: -2, -4, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.06 + 3.06. Let h = 349\/4 + -88. Let j = 13.86 + -13.96. Which is the nearest to 0.4? (a) j (b) h (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 0 and -1240373.517 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 2470 greater than 2470?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**2\/7 + 17680*r\/7 - 78145600\/7.\nAnswer: -(r - 8840)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 5\/6623?\nAnswer: 5\/6623","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 190 = 3*x + 2*x. Let k(i) = -i**3 - 31*i**2 - 24*i + 152. Let y be k(-30). Let g = x + y. What are the prime factors of g?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1532550 (base 7) in base 9?\nAnswer: 348770","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*m + 5*q + 65, 16 = -13096*m + 13092*m - 4*q for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -h**2 - 2*h - 2. Let y be k(6). Let g be -29*3\/(-3)*2. Let a = y + g. Calculate the lowest common multiple of a and 2.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 22*a**3 + 4*a**2 + a + 23. Suppose -c - 14 = -4*c + o, 0 = -2*c - 5*o - 2. What are the prime factors of b(c)?\nAnswer: 1499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4635 divided by -3.\nAnswer: 1545","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 3*v**2. Let y(p) = 5*p + 3. Calculate n(y(q)).\nAnswer: 75*q**2 + 90*q + 27","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = i**3 + 14*i**2 - 16*i + 3. Let c = -116 + 13. Let l = 190 + c. What is the remainder when l is divided by t(-15)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 15, -39, -1, -91 in ascending order.\nAnswer: -91, -39, -4, -1, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 (base 6) in base 14?\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -14 + 16. Solve -k = 3*p - 2, -4*k - l = -3*p + 5 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 6\/9 - 4\/(-3). Suppose -6 = s*p - 206. What is the units digit of p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*y**2 - 3*y**2 - y**2 + (5*y + 2 - 2)*(3*y - 2*y + 0*y) + 4*y - y**2 - 4*y + (-y + 0*y + 2*y)*(6*y - 2*y - 2*y) + 0*y + 2*y**2 + 0*y.\nAnswer: 9*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = q - 11. Suppose 0 = -2*u + 5*u - 24. Suppose l - 13 - u = 0. What is the remainder when l is divided by y(19)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1930505508.\nAnswer: 2, 3, 293, 61007","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2988*z + 217620 = 3050*z. Is 3 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -65*g**2 - 7*g - 7 + 2*g + 79*g**2.\nAnswer: 14*g**2 - 5*g - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (107 + 5*r - 118 - 4*r)*(-774 + 1553 + 32*r**3 - 776).\nAnswer: 32*r**4 - 352*r**3 + 3*r - 33","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*p - 691 + 685. Let -6*z**4 + z**4 - z**4 - 720*z - 31*z**3 - 472*z**2 - 49*z**p + 2*z**4 - 324 = 0. What is z?\nAnswer: -9, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 121 divide 468149?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -1031045 (base 8) in base 11?\nAnswer: -178663","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1110 and 3885?\nAnswer: 7770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -64*i - 73. Calculate r(-2).\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 22 + 27514?\nAnswer: 27536","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 1 = -d. Let y be -1*(0 + d) + -1. Let z = y - -7. Solve 5 = -x, 0 = -z*q - 4*x + 2*x - 35 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*j**3 + 230*j**2 - 6600*j.\nAnswer: 5*j*(j - 20)*(j + 66)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15860396 is divided by 1885.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Add together -20530296 and 5282.\nAnswer: -20525014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0001325634 rounded to 7 dps?\nAnswer: -0.0001326","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 2349509 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 y when three letters picked without replacement from {y: 6, x: 5, j: 2}?\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gggregfgccac. Give prob of sequence ceg.\nAnswer: 1\/88","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 321 is divided by (351\/(-6))\/(66\/(-88)).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000332411 rounded to seven decimal places?\nAnswer: -0.0000332","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 366, 365, 364?\nAnswer: 363","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 592163?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = -3*h - 2*y, -2*h - 256*y + 5 = -255*y for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -9 + 10. Suppose -i - 2 = 3*n - l, i = -5*n - 9. What is the first derivative of -10*v**2 - 2 + i*v**2 + 1 wrt v?\nAnswer: 2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12 + (-14 - (10 - 8) - -8).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3 + -6b?\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -1566026 (base 7) to base 10\nAnswer: -218168","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 20 and 33808.\nAnswer: 169040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*k - 19 - 46. What is the derivative of -35*z - 79 - 3*z**2 + 16*z + 8*z + k*z wrt z?\nAnswer: -6*z + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + -3*(sqrt(17) + 4) - sqrt(68)\/(sqrt(4) - sqrt(24)\/sqrt(6)*3).\nAnswer: -5*sqrt(17)\/2 - 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -6*o**3 - 5*o**2 - o - 5. Let t(l) = 3*l**3 + 3*l**2 + l + 3. Determine -3*p(i) - 5*t(i).\nAnswer: 3*i**3 - 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 288 divide 579291830?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Add together -22.702839 and 0.4.\nAnswer: -22.302839","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -4*((-63)\/(-14))\/9. Suppose 3*h + 27 = -5*b, 4*b - 4*h = -b + 1. Put 0.2, r, b in increasing order.\nAnswer: b, r, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*s + 96*s = -9046 - 3029 for s.\nAnswer: -115","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2 + 3. Let k be (-230)\/(-25) + m\/(-5). Suppose -3 = -2*s - o, s + 23 = 4*o + 11. Solve s*r + 2*l = 5*r + 5, r - 2*l = -k for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 28*t**2 - 10*t - 6. Let a be y(3). Let q be -1 + 0 + 28*9\/a. Determine f, given that -q*f**2 - 25\/6 - 5\/3*f = 0.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8 and 104264.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 4 = 4*l, 0*h - 2*h = 3*l - 2. Is -6 bigger than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1997 is divided by 178.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 332745 or 332748?\nAnswer: 332748","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a kilometer in meters?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 4*a**3 - a**2 - a. Let c be i(2). Let o = -3 - -7. Suppose -2*m + 3*b - c = -65, 5*m - 80 = o*b. Calculate the greatest common factor of m and 132.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:35 PM and 4:29 AM?\nAnswer: 414","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve h = -2*b - 2, -5*h + 420*b - 415*b = -20 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -4*l**2 + 6*l + 7. Let n(v) = v**2 - v - 1. Let s(t) = -t**3 - 9*t**2 + 11*t + 5. Let y be s(-10). Determine y*n(z) - h(z).\nAnswer: -z**2 - z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 207 divide 30843?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (0 - 63)\/(10 - 9). Let s be ((-6)\/21)\/(a\/(-49)). Let g = -9\/13 - 7\/65. What is the smallest value in 0.4, g, s?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 353 minutes after 11:54 AM?\nAnswer: 5:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10526, -10692, -11134, -11990, -13398, -15496?\nAnswer: -18422","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = 5*d + 5, 5*d - 443*r + 440*r - 20 = 0. Which is the nearest to d? (a) -0.3 (b) 0 (c) 9490\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 61 + -36. Is y < 27?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.638 - 0.64. Let z = v - -0.087. What is z rounded to 2 dps?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 15 = 5*k, -12*f + 9*f + 4*k - 12 = 0. Solve 0 + 0*p**2 + f*p**3 + 0*p + 2\/5*p**4 - 2\/5*p**5 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15336720 divided by 42960\nAnswer: 357","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8535?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3 + -3.7. Let j = n - -0.5. Which is the closest to -0.2? (a) j (b) 2 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(2*sqrt(65)*2 - 5*(sqrt(65) - sqrt(65)*-1)))\/(-1*1*sqrt(5) + sqrt(80)*-1)*-6.\nAnswer: 108*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 5 (b) -4602 (c) -8 (d) 1\/7 (e) 0.01\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 29140*t**3 + 63391*t.\nAnswer: 174840*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 12 and 7012471?\nAnswer: 7012459","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = p**3 - 2*p**2 + 2*p - 3. Let y be c(3). Let k(j) = 2*j**2 + 112*j - 2301. Let d be k(16). Solve -y = -3*r - d for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2 (b) -5 (c) -0.3 (d) 0.0301 (e) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 144 minutes after 6:32 PM?\nAnswer: 8:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) be the second derivative of 7*q**3\/6 - 6*q**2 - 5*q. Let a be -4*1\/(2\/(-7)). Let w be v(a). Round w to the nearest ten.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 4.637662 to 2 decimal places.\nAnswer: 4.64","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -2 + 6 + (-32)\/(-1). Let u be (20\/40)\/((-1)\/q). Let j = u - -19. Solve -4*t - 3*r - 4 = -2*t, -2*r = t + j for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 63987?\nAnswer: 3, 7, 11, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -3, -42, 5, -14, -51, -0.2?\nAnswer: -51","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 4*b**2 + 4. Let o(w) = 7*w**2 + 8. Let t(k) = 3*o(k) - 5*x(k). Let p = 1011 - 663. Let h = p - 348. What is t(h)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000949 rounded to four decimal places?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -65*k**3 - 11*k**2 + 3*k + 12. Let t be p(-8). Suppose 20*j = 24*j - t. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -610 + 0*k - 28*k**2 + 0*k + 612 in the form z*k**2 + o + f*k and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fjj. Give prob of sequence jj.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28782945.\nAnswer: 3, 5, 71069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -q**3 - 2. Let w be (8 + -3)*7\/5. Let i(h) = -3*h**3 - h - 7. Calculate w*y(o) - 2*i(o).\nAnswer: -o**3 + 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 14) to base 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the third derivative of -o**4\/8 + 2*o**3 + 189*o**2 + 1. Let u(v) = 1. What is i(f) - 15*u(f)?\nAnswer: -3*f - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 43038271?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 61 = -101. Suppose -c = -d - 10. What is the tens digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -a - 1532. Let z(k) = -k + 1057. Determine z(n(r)).\nAnswer: r + 2589","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, -2, -476 in descending order.\nAnswer: -2, -9, -476","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 smaller than 2\/105859?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -309 + 157. Is -153 equal to u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 5 = -4*t, -4*d + 7*d - 35 = -4*t. Let a = 1 + t. Solve -20 = a*w - w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 97335 and 72765.\nAnswer: 945","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -870*j**2 + 870*j**2 + 234*j**5 + (4*j**3 - 2*j**3 - 3*j**3)*(-2*j**2 - 2*j**2 + 3*j**2) + 0*j**5 - j**5 - 4*j**5.\nAnswer: 230*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 320\/(-512) - (-38)\/48\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -18865, -18866, -18867, -18868, -18869, -18870?\n\"Answer: -y - 18864","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -2\/11 (b) -4 (c) 2\/3 (d) -219\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*b - 137 + 29 = 0. What is the remainder when 429 is divided by 15\/b*(-344)\/(-20)?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0 - -1. Let p = 236 + -232. Suppose -r + 2*s + 8 = 0, -r + 2*r = p*s + 12. What is the third smallest value in r, -0.2, w?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5238886 + 23851.\nAnswer: -5215035","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = -3*z - 18. Suppose -z*u + 9*f = 4*f - 370, -4*u - 2*f = -476. Is 40 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 17062 and 6.\nAnswer: 51186","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 33\/5 of a hour?\nAnswer: 396","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-3)\/6)\/(3\/(-12)). Suppose -i - 488 = -z*v, -2*v - 2*v = 3*i - 956. Suppose -2*p + v + 12 = 0. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 900953.8km in meters?\nAnswer: 900953800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 45*o - 11. Let q(h) = 11*h - 3. Determine 2*m(w) - 9*q(w).\nAnswer: -9*w + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 287.1 to the nearest one hundred.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 1 + 1)*(-3*q + 3*q - q) - 42*q + 35965 - 35965 to the form t*q + i and give t.\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is (-6)\/(-4)*(-10926)\/(-9) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 631 - 320. Find the second derivative of 80*w + w**3 + w**2 + b - 311 wrt w.\nAnswer: 6*w + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -138246, -276589, -415030, -553569, -692206, -830941?\nAnswer: -969774","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the first derivative of -n**4\/4 - n**3\/6 + 147*n**2 + 28. Let x(l) be the second derivative of v(l). What is x(1)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 29483.254302 + -1.45\nAnswer: 29481.804302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -39*i**2 - 67 + 22*i**2 - 34 + 12*i**2.\nAnswer: -5*i**2 - 101","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:20 AM and 2:42 PM?\nAnswer: 322","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4200560 (base 7) to base 12.\nAnswer: 203b55","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 464635133*t**3 - 3*t**2 + 318623*t + 1.\nAnswer: 2787810798","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ijjiijijjjiiijiijjii. What is prob of sequence ii?\nAnswer: 11\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1206, -1205, -1204, -1203, -1202?\nAnswer: -1201","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*l - 60 - 9 = 0. Factor 37 - 37 - 10*k + k**3 + 2*k**4 - 9*k**2 - 7*k**l - 9*k**2.\nAnswer: 2*k*(k - 5)*(k + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (83\/5 - -1)*260\/104. What is the greatest common factor of g and 4532?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by 85901\nAnswer: -5\/85901","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 6*q + 120 = 0. Suppose -4*h = 5*b - q, 7*b - h = 3*b + 24. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.6 in -5\/8, 245, -0.3, 4, 21, -3?\nAnswer: -5\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) be the third derivative of 151*z**5\/12 - z**4\/6 - 6*z**2. Let y be s(-9). Let i be (-1)\/4 - y\/36. Round i to the nearest one thousand.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 0*l = 5*l - 412, 5*l = -4*j + 1633. Let m = 2846\/7 - j. Which is the biggest value? (a) m (b) 5 (c) 0.5 (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1076.\nAnswer: 2, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is l in -15*l**4 - 81*l**3 + 1230*l**2 + 504*l = 0?\nAnswer: -12, -2\/5, 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 6\/4*8\/12. Let v(d) = 3*d - 1. Let m be v(i). Suppose 2*t + 8 = 7*b - 2*b, -4*t = 16. Solve -11 = 3*f - 2*f + 4*l, b = m*f - 4*l - 26 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9183344?\nAnswer: 2, 41, 13999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (13*q**3 + 32*q**2 - 32*q**2)*(-343*q - 16*q - 373*q + 4 + 77*q) in the form h + v*q**3 + c*q**2 + z*q**4 + r*q and give z.\nAnswer: -8515","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 96\/11 (b) -34 (c) -1\/4 (d) -4 (e) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -107.28*-1\nAnswer: 107.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -4*d**2 - 3*d + 4. Let k = 882 + -879. Calculate f(k).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/7*(-69)\/46*(-8)\/(-6).\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 779000084403 and 216?\nAnswer: 779000084187","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -14*(((-3)\/(-14))\/(-3))\/((-44)\/154).\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-4)\/22 - (-1192)\/22. Let v = b - 50. What is the common denominator of 9\/5 and (9\/(-27))\/((v\/103)\/1)?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 38*n - 32. Let f be x(1). Let b(y) be the first derivative of f + 1\/24*y**4 + 1\/12*y**2 - 1\/9*y**3 + 0*y. Determine m so that b(m) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n when two letters picked without replacement from nenennnnnnnn?\nAnswer: 15\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i - 5*g = -0*i, 0 = i + 5*g for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-135)\/405)\/(2\/(-18)). What is the third biggest value in -3, x, -10?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -8*v - 20. Let n(m) = 3*m + 3. Let r(f) = 5*n(f) + s(f). Let q(j) = 10*j**2. Give q(r(b)).\nAnswer: 490*b**2 - 700*b + 250","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 2*r + 3*r + 7 = 0, 0 = -4*h + 3*r - 3. Suppose 0 = -i + h*i - 22. Calculate the remainder when i is divided by 2 + (2 - 4\/(-2)).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 560 minutes after 10:50 PM?\nAnswer: 8:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -508, 3, 0, 84?\nAnswer: -508","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ll when two letters picked without replacement from {l: 11, d: 3}.\nAnswer: 55\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 5*u**4 - 3*u**3 - 9*u**2 - u. Let d(f) = -4*f**4 + 2*f**3 + 8*f**2 + 2*f. Let r(s) = 3*d(s) + 2*q(s). Determine v, given that r(v) = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 266829577 to the nearest integer?\nAnswer: 644","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 146, 354, 586, 842?\n\"Answer: 12*m**2 + 172*m - 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 629*u - 153. Let g(n) = 419*n - 102. Let a(r) = -7*g(r) + 5*m(r). What are the prime factors of a(2)?\nAnswer: 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 100 a factor of 63700?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*z + 4*u + 136, 118 = 3*z + 2*u - u. Let n = -35 + z. Which is smaller: n or 4?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -269 = -s - 2*k + 795, -4244 = -4*s + 4*k. Let i = -447 + s. Calculate the highest common divisor of i and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = 4*l - 5391, -4*l + 5*b + 4242 + 1129 = 0. What is the greatest common divisor of l and 923?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) -2 (b) 17 (c) -5 (d) -756 (e) 3 (f) 10 (g) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (24038\/(-4242))\/(170\/(-1500)).\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -3*q + 13. Let h = -514 + 517. Let u(x) = 3*x - 14. Give h*u(v) + 4*d(v).\nAnswer: -3*v + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 52, 78, 104?\nAnswer: 130","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1975 - -3305. Calculate the lowest common multiple of y and 10.\nAnswer: 1330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(2\/15)*l*l**2)**(-2\/3)*((l\/(l*l*l**0*l))\/l)**(-47)\/(((l*(l**(-4)*l)\/l*l)\/l)\/l**(-6)) assuming l is positive.\nAnswer: l**(6116\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 3441 (base 10) to base 3\nAnswer: 11201110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -4*v**2 + v. Suppose -2 = 3*l - 17. Suppose -o + 6 = l. Give y(o).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 3*r - 24 = 0, 3*g + r + 3 = 21. Let b(t) = t. Let w be b(0). Suppose w = 2*q - q - 8. Solve -k + 5*k + 4*j + q = 0, -2*k + g*j - 4 = 0 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 10, o: 1, c: 7}. What is prob of sequence cocc?\nAnswer: 7\/2448","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/(-6)*-1*146\/1?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 140797 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is f in 11*f**2\/4 - 317*f\/2 + 306 = 0?\nAnswer: 2, 612\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1410\/(-329) - ((-36)\/10 - (-2)\/(-5)).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 less than -167426765?\nAnswer: -167426764.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (16 + -15)*(-2 + 1 - -1). Suppose 5*o - 15 = y, -2*k = -o - 636 - 109. List the prime factors of k.\nAnswer: 2, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -39497 at most as big as -39501?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 22*w - 20*w + 1660008 = 0, 3*z = -3*w + 1244988. What is z rounded to the nearest 10000?\nAnswer: 420000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 1372, 1370, 1368, 1366, 1364?\n\"Answer: -2*h + 1374","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -26 + 21 + 1 + (1 - -3).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 + 19872401526.19\nAnswer: 19872401525.89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -272, -233, -138, 31, 292, 663, 1162, 1807?\nAnswer: 2616","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*f + 13 + 42. Does 93 divide (f + -6 - -8)\/(2\/(-496))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -c**2 - 3*c. Determine t(-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 912686 and 6325.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aha when three letters picked without replacement from {a: 2, h: 17}?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 + 4)*(-6 - 7*g + 4*g + 13).\nAnswer: -12*g + 28","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16*((-6)\/(-57) + ((-552)\/190 - -3)).\nAnswer: 16\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = d**2 - 23*d + 22. Let h = -5286 + 5306. What is a(h)?\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 46 is divided by 18.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*f + 4*f - 8. What is the units digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.04, -0.2, -1, -11?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/2)\/((-66)\/(-72))?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 58038 by 5.\nAnswer: 58038\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.1 - 0.1. Let p = -0.2 - o. Let x = 88 + -266\/3. Is x greater than or equal to p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) be the second derivative of -d**7\/105 - d**6\/20 + d**3\/6 - 14*d. Let t(z) be the second derivative of b(z). What is the third derivative of t(q) wrt q?\nAnswer: -48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 9 - 147*c - 9 - 90*c**2 - 62*c wrt c.\nAnswer: -180","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 g and 1 t when four letters picked without replacement from {t: 5, g: 11}?\nAnswer: 165\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -458*u**3 - u**2 + 595*u**3 - 7*u**2 - 3*u**2 + 11*u**2.\nAnswer: 137*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -2, -41 in descending order.\nAnswer: 2, -2, -41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + 20 - 6 - (-15 - 6).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*1*sqrt(8) + (sqrt(48)\/sqrt(6))\/sqrt(4)*5)**2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -557*t**3 + 208 + 142 - 191*t**3 - 350.\nAnswer: -748*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -38\/1887 and 37\/408.\nAnswer: 15096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 169261120 a multiple of 1148?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 3*t = 0, 5*t = t + 16. Calculate the remainder when 237 is divided by z.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) be the second derivative of -2*j**5\/5 - j**4\/6 - j**3\/6 - 2*j. Let o be t(-1). Let p(r) = -3*r**2 - 2*r**2 - r**3 + o*r + 9*r**2 - 4. Give p(5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bqq when three letters picked without replacement from {b: 4, q: 7}?\nAnswer: 28\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 + 7 - (3 - 0)) + -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (24\/(-9))\/(186\/(-837))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -7870601, -7870602, -7870603, -7870604?\n\"Answer: -q - 7870600","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ffvfvf. What is prob of sequence fvf?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 14096 - 7589. What is the hundreds digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 times -0.078\nAnswer: 0.0312","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*h**3 + 4*h**3 + 2*h**3.\nAnswer: 12*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -112*o. Let h(g) = -13*g**2 + 2*g - 13. What is f(h(c))?\nAnswer: 1456*c**2 - 224*c + 1456","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-40 - -11) + 13 + -9 + -18?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 25 (base 10) to base 14.\nAnswer: 1b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**21*t\/(t\/(t*t*t*t**22)*t) assuming t is positive.\nAnswer: t**45","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out 41 * -381.\nAnswer: -15621","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 59 - 47. Let l = -438 - -462. What is the least common multiple of f and l?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 330, 685, 1038, 1389, 1738, 2085, 2430?\n\"Answer: -j**2 + 358*j - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 617327641?\nAnswer: 7, 88189663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-208)\/80)\/(3\/(-15)). Let x be (-32)\/(-48) + p\/3. Solve -q = 5*z, x*z + 6 = z - 2*q for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -2*i**3 - 194*i**2 + 369*i - 2177. Determine n(-99).\nAnswer: 496","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*t**4\/5 + 267*t**3\/5 - 489*t**2 + 1185*t = 0. Calculate t.\nAnswer: 0, 5, 79","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 18 + 2?\nAnswer: 1a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) 0.08 (b) -1\/9 (c) 0.5 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i**3 - 18*i**2 - 43*i + 64. Let h be l(20). Let p = -1 - -4. Suppose p + 2 = d. Is h greater than d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3012 divided by -502.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -1826*i - 1807*i + 3620*i. Let k(r) be the first derivative of 5*r**2 + 11. Determine k(h(s)).\nAnswer: -130*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-113)\/((-10509)\/124))\/(((-16)\/87)\/4)?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 160177 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*s**3 - 3*s**3 - 4*s**2 + 4*s**2.\nAnswer: 2*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -18 + 17 + -157 + 93\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -53 - -31. Let s = p - -28. Solve 0 = -0*a - 3*a + s for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -227, 0.1, -2, 386, 5 in increasing order.\nAnswer: -227, -2, 0.1, 5, 386","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ffr when three letters picked without replacement from rfrfffrffrfrf.\nAnswer: 70\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -236*h - 8 = -240*h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 73751 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 587039 is divided by 213.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 3176652 to the power of 1\/2, to the nearest integer?\nAnswer: 1782","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1122102529.\nAnswer: 1122102529","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 334057 divided by 52\nAnswer: 334057\/52","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 5 (b) -1\/7 (c) 1 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-2\/33)\/a)\/a)\/a**(-1\/17) assuming a is positive.\nAnswer: a**(-1123\/561)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -66 or -2?\nAnswer: -66","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a litre in millilitres?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3457 is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.07? (a) -0.5 (b) -19 (c) -2\/1147 (d) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 21658273, -4, -2 in descending order.\nAnswer: 21658273, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 10 - ((0 - ((-3 - -3) + -8)) + -3)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1\/84 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -12500 - -3?\nAnswer: -12453","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -371 - -371.0505. What is g rounded to two dps?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6278 to the nearest integer?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 59 is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 5499\/4 bigger than 1374?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 77*q**2 - 4236*q + 63. Give j(55).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 4*k = -4*s + 112, 4*s + k = 197. Let p(x) = 21*x - s*x + 21*x. Let t(v) = v. Calculate p(t(r)).\nAnswer: -8*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18\/(-4)*-17*(-92)\/1173.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 16, -1\/2, -5?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -16*f - 17. Suppose -6*u + 4*u - 4 = 0. Let h be 2\/u*-6*25\/(-30). Let r be l(h). Does r = 62?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*x**2 + 51*x**3 - 54*x**3 + 0*x**2 + 2*x)*(x + 3*x - 2*x) in the form p*x**4 + k*x + o*x**2 + y*x**3 + u and give p.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 518683 is divided by 12349?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16 + -71 + 71 - 42?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) be the third derivative of -r**6\/30 - 4*r**5\/15 - r**4\/2 - 26*r**2. Factor j(l).\nAnswer: -4*l*(l + 1)*(l + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00097113 to five dps.\nAnswer: 0.00097","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 227091.23139 + 291\nAnswer: 227382.23139","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1539) + 1 + sqrt(76)*2 + sqrt(76).\nAnswer: 1 + 15*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 34, 72, 110, 148, 186, 224?\nAnswer: 262","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.22 or 1317588\/5?\nAnswer: 1317588\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 1 + 0*o - 2*o + 0*o - 3. Let h be t(-2). Suppose h*y + 3*l = 5 + 176, 0 = 4*y + l - 337. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -2*u**3 - 11*u**2 - 5*u + 7. Let r be j(-5). Solve -r*d = -2*d + 15 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 498 and 154\/847 - 328\/(-11)?\nAnswer: 2490","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 37*g**2 - 11*g - 19. Suppose 6*k - 5*k + 2 = 0. What is the hundreds digit of x(k)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f**2 + 292134536*f - 21335646780983824 = 0. What is f?\nAnswer: 146067268","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.3 in 75, 0, 3\/7, -4\/5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 93 and 217?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1787171926 to the nearest integer?\nAnswer: 42275","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 + 13 = -6*u. Put u, -4, -5, -3 in decreasing order.\nAnswer: u, -3, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve h - x + 3*x = -3, -h - 3 = -3*x for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) be the first derivative of -p**4\/4 + 7*p**3\/3 - 3*p**2 + 6*p - 3. Let c be x(6). Let a = 11 - c. List the prime factors of a.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (241*k - 467*k - 1180*k)*(3*k + 3*k**3 - 3*k) as l*k**3 + d*k**4 + v + n*k + r*k**2 and give d.\nAnswer: -4218","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -43*h**3 + h**2 - 3*h - 2. Let o be v(-2). Let l = 3486 - 3466. Suppose -l*j + 12*j = -o. What is the lowest common multiple of j and 20?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 568 minutes after 12:17 PM?\nAnswer: 9:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -217048787 take away 221?\nAnswer: -217049008","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:18 PM and 12:43 AM?\nAnswer: 445","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = -5*t + 3*t - 10, -t = i. Suppose -i*j = -0*j - 254. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1 - -562465?\nAnswer: 562466","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-603)\/67*28\/((-33264)\/60)\nAnswer: 5\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 173951 is divided by 6210.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0, 1, 503, 103?\nAnswer: 103","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4548.\nAnswer: 2, 3, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -9810 + 10058. List the prime factors of b.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = b**3 + 15*b**2 - 84*b + 203. Is g(24) a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express j**2 - 30810*j**3 + 30817*j**3 - 5 - 8 as z*j**2 + x + v*j + c*j**3 and give c.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the first derivative of -2*j**3\/3 + 19. Let m(h) = -33*h. Let g(i) = 34*i. Let d(l) = 4*g(l) + 3*m(l). Calculate v(d(u)).\nAnswer: -2738*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.8? (a) 0.08 (b) 7\/6 (c) -0.21 (d) -0.2 (e) -1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 3702, 15155, 34360, 61317, 96026, 138487?\n\"Answer: 3876*z**2 - 175*z + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -13380.6 and -160?\nAnswer: 13220.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.036 times -0.87?\nAnswer: 0.03132","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 966825?\nAnswer: 3, 5, 4297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -1816, -1974, -2398, -3220, -4572?\n\"Answer: -22*v**3 - v**2 - v - 1792","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 131*b + 1032 + 4732 for b.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 3*b**2 + 1399*b + 23233. Determine a(-17).\nAnswer: 317","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -3*i**2. Let n(f) = -1079*f + 195. Determine n(v(l)).\nAnswer: 3237*l**2 + 195","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -116, -142, -224, -392, -676, -1106?\nAnswer: -1712","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -38 + 4 + (49 - 24)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 3435, 3426, 3411, 3390, 3363, 3330?\n\"Answer: -3*n**2 + 3438","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((80\/(-350))\/4)\/(-12 + 0). Let f = 169\/210 - z. Suppose -4*s = -q + 4, 0 = 2*q - 5*s - 0 - 5. Which is the nearest to q? (a) 2 (b) -0.1 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 13680 and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1 + -6. Which is the nearest to 1\/4? (a) d (b) -2 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5.5 - 2.1. Let i = d - -13.6. Let l = -16.9999982 + i. What is l rounded to 7 decimal places?\nAnswer: 0.0000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -30524 * -527.\nAnswer: 16086148","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n when two letters picked without replacement from miiiimiimiinnimm?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-3)\/9*(-1 - 8). Let g be h + (-2 - -15 - -1). Suppose -4*u = 2*s - 38, -u + 3*u + 3*s - g = 0. What is the least common multiple of u and 2?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*s = 30*s + 5*r + 23, 2*r + 14 = 2*s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*4\/45*(-3)\/2.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -12.8 and 622?\nAnswer: -7961.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 1609719*m - 1609715*m + 4 - 2 - 1.\nAnswer: 4*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -5 (b) 30 (c) -0.5 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 32 divided by 1255\nAnswer: 32\/1255","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a meter in millimeters?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -144408*b**5*d**2 + b**4*d**3 + 10*b**2*d**2 + 123*b**2*d - d**3 wrt b.\nAnswer: -8664480*b**2*d**2 + 24*b*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -r**2 - 4*r - 5. Let w = -9 + 3. Determine q(w).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 184775740?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 224 is divided by 76.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 94\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000262762 to six dps.\nAnswer: -0.000263","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*f**4*y + 896*f**3*y**3 + 110*f**2*y**3 + f**2*y**2 - 5*f wrt f.\nAnswer: -48*f*y + 5376*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -39 + 39. Suppose l = 5*t - 5 - 5, 3*h - 2*t = -4. What is the nearest to -1\/4 in 3, h, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3480*i**2 - 10933*i**2 + 7466*i**2.\nAnswer: 13*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -c**3 + 3*c**2 - 2*c. Give i(2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 24306 and 8102.\nAnswer: 24306","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = u**2 + 3*u + 2. Let p(c) be the first derivative of c**2 + 7*c + 3. Let a be p(-5). Let z be j(a). Round z to zero dps.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 180161 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 84 and 1818?\nAnswer: 25452","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i when two letters picked without replacement from ipippni?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -8*x + 11*x + 10*x + (-3 - 2 + 4)*(0*x + 0*x + x) + (0 + 6 - 3)*(-3 - 1 + 2)*(85 - 85 + 32*x).\nAnswer: -180*x","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 4 + 6 = 0. Suppose -o + q + 0*q + 3 = 0, -x*q = 0. Suppose 18 = 2*j - 5*k + 4*k, o*j - k = 27. Calculate the greatest common factor of j and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 0.4676178 weeks?\nAnswer: 4713.587424","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Total of -16 and 86.8.\nAnswer: 70.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -195 divided by 15\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 5\/4, -6\/451, -2\/13, -2\/31?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 30232 - (1\/6)\/(15\/270)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 72550735 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 3*o - 21. Let z(x) = 3*x - 22. Let q(i) = 3*u(i) - 4*z(i). Let h = -6 + 24. What is the remainder when h is divided by q(6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 162*w**5 - 154*w**3 + 17468*w**2 wrt w?\nAnswer: 9720*w**2 - 924","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 6\/(-5) - (-8036)\/980. Let d(l) = 4*l**2 + 8 - 3*l**2 - l**3 + 6*l**2 - 3*l. Determine d(n).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 765.\nAnswer: 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7 + -12. Suppose 0 = -3*y + 83 - 23. Let k be (2 - 4) + 38\/y. What is the nearest to -1\/3 in k, h, 5?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 minus 48218?\nAnswer: -48220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 2731 = -4*w, -2727 = -5*f + 9*w - 6*w. What is the highest common factor of 1991 and f?\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c = v - 9, -4*v + 66*c = 71*c - 30 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -206 - -168 - (-1 + -32)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -5, 10, -3, 23 in decreasing order.\nAnswer: 23, 10, -3, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(16)\/(1*sqrt(8)) - (sqrt(242) + -1)**2)*2 - (2*(sqrt(12)*1 + sqrt(12) - sqrt(12)))\/(sqrt(600)*2).\nAnswer: -486 + 459*sqrt(2)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -56.56 - -53. Let y = z + 3.3. Let h = 0.06 + y. Sort h, -3\/4, 1.\nAnswer: -3\/4, h, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 = 3*s + 5*d, 234*d - 230*d = 8 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = n**2 - 5*n. Let w be s(5). Suppose w = h + 3*u - u - 16, 4*h + 4*u = 44. Are -2 and h non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3895767769 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -4, -2\/31, -0.2, 128, -4\/7, 1\/5?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1\/2, 0, -0.5, -1341, 0.4, 5, 14\/3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3 + -3. What is the third smallest value in d, 5, -0.5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 18921.927 months?\nAnswer: 15.7682725","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5 + 5. Let s be (108\/(-10))\/((-3)\/c). Suppose -2*p - 337 = -3*q - 65, -p - 271 = -3*q. Calculate the greatest common factor of q and s.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = g**3 - 7*g**2 - 9*g + 9. Determine c(8).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 701000 rounded to the nearest 10000?\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2558 and 2840659.\nAnswer: 1279","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1743083?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -x**2 + 25*x + 84. Let t be h(28). Which is the nearest to 0.009? (a) 3\/2 (b) -0.4 (c) 2\/5 (d) t\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 2, t: 1, z: 1, e: 1, f: 1, d: 1}. What is prob of sequence fe?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -r**3 + 7*r**2 - 6*r - 7. Let n be g(6). Let o = -4 - n. Let p(v) = v**2 + 4*v + 7. Let m be p(-3). Solve o*j = -f - 4, -4*f - 2 = -f + m*j for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -468 - -561496833.\nAnswer: 561496365","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*a - 780 = a. Suppose 2*l + a = -u, 5*u - 302 = 4*l + 2*u. Let o = -41 - l. What is the units digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-32*w + 87*w**2 + 32*w)*(-2*w + w - 3*w)*(2 - 2 - 2*w) - 9*w**4 + 8*w**4 - 6*w**4 in the form m + u*w**3 + v*w**4 + c*w**2 + t*w and give v.\nAnswer: 689","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -22*g + 187. Determine v(12).\nAnswer: -77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 11) to base 9\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l + a + 89 = 3*a, -5*a + 675030 - 674996 = -l for l.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -34*z - 595. Give p(-16).\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*l**2 - 3*l**2 + 0*l**2 + (0*l - 2*l + l)*(-l - 4*l + 6*l) - 3*l**2 + 0*l**2 + 2*l**2 + (2*l + 0*l - l)*(-l + 4*l - 5*l).\nAnswer: -5*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2 + 43?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 9a8170 + -2?\nAnswer: 9a816a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -12.45 - -10.45. Let v be (2\/2)\/(1\/4). Sort 3, q, v.\nAnswer: q, 3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*c = -2 + 13 + 43 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4\/(2 + 7\/(-2) + 1). Let k be 90\/(-72)*s\/2. Solve k*r - 3*v - 37 = 0, 0 = -3*r + 3*v + 27 - 0 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -i**2 - 67*i - 66.\nAnswer: -(i + 1)*(i + 66)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 - -5) + (10 - 10) + (20 - 1).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -249 + 8*u**3 + u - 3*u**3 + 8*u**4 + 247 as l*u**4 + v + i*u**2 + c*u + j*u**3 and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -3114 divided by 519?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-8)*q*q\/((q*q*q*q**9*q*q)\/q)*q*q*q*q*q\/q**(-6\/11)*q**(-34)*q)**(-4\/7) assuming q is positive.\nAnswer: q**(292\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = l**2 - l - 2. Let h be x(3). Suppose 0 = 8*n - h*n - 12. Suppose 0 = p - 2 - n. Solve -p + 2 = -r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 17 - -1?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 823076 = 97*t + 64148. What are the prime factors of t?\nAnswer: 2, 3, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by 393.\nAnswer: -2\/393","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -8, 4, 0.5, -12?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-4760)\/(-48) + 1\/(-6) is divided by 25?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2204*h - 2178*h = 988. What is the remainder when h is divided by (-2 - -3)*8*2?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -a**3 + 5*a**2 + 15*a + 14. Suppose -19*f = -21*f + 14. Let v be t(f). Which is smaller: v or 26?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence re when two letters picked without replacement from ercroo.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 6) to base 13.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -2 - 1 - (207 + -6). Let f = -134 - g. Is f a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7844732.\nAnswer: 2, 7, 29, 9661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -34*f - 1. Let x be t(-1). Suppose -6*s - 15 = -3*s. Let l(g) = -g**2 - 6*g - 2. Let u be l(s). What is the greatest common factor of x and u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -98, -96, -94, -92, -90, -88?\n\"Answer: 2*w - 100","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -22.4812529267 less than 4?\nAnswer: 26.4812529267","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -134 + 137. Suppose 8*d - 3*d + 2*g = 793, c*d - 476 = -g. Is 10 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/603? (a) 0 (b) -23 (c) -103 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 24*w + 28. Let u be b(-1). Let q be (6\/(-6) - u) + 18. Calculate the highest common divisor of 208 and q.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -9*q**2 - 2198*q - 122. Let l(p) = p. Calculate l(y(m)).\nAnswer: -9*m**2 - 2198*m - 122","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -46.7 (b) -2 (c) -0.4 (d) -1.4 (e) 4\/7 (f) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*c**3 + 11120*c**2 + 111575*c + 279250.\nAnswer: -5*(c - 2234)*(c + 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 4, b: 1, r: 7, s: 4, q: 1, n: 1}. Give prob of picking 1 r and 3 j.\nAnswer: 7\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the second derivative of o**8\/1680 - o**6\/180 - o**3\/2 + 3*o. Let h(w) be the second derivative of u(w). Find the third derivative of h(t) wrt t.\nAnswer: 24*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -2*r**2 - 7. Give d(0).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 2, 1\/16, -4\/3?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((d\/d**(-1))\/(d**4\/d))\/(d**(-2\/3)\/(d*d**(1\/3))))**48)**(-3\/13) assuming d is positive.\nAnswer: d**(-144\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) be the second derivative of s**4\/4 - 10*s. Let q(p) = 7*p. Calculate q(b(w)).\nAnswer: 21*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -798325, -1596675, -2395019, -3193357, -3991689?\n\"Answer: 3*j**2 - 798359*j + 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 31 + -3?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 1356411*j - 5425648. Determine l(4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -977.4 + 903. Let k = -74 - z. Which is the third smallest value? (a) 14 (b) k (c) 3 (d) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2039520 to the nearest 10000.\nAnswer: 2040000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:21 PM and 7:43 PM?\nAnswer: 322","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 200771 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8391*d - 14101*d + 11654*d to the form r*d + t and give r.\nAnswer: 5944","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = v + 9. Let y be k(-7). Let n(o) = -o**3 + 3*o**2 + 4*o + 4. Let u be n(4). Put -3, y, u in increasing order.\nAnswer: -3, y, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 831?\nAnswer: 3, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -13\/154 and -11\/42.\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1.7 (b) -3 (c) 4\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (18\/32)\/((-4186)\/(-104) + -41).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 82708597?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 0, 3, -2 in ascending order.\nAnswer: -2, 0, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4685.\nAnswer: 5, 937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 13 and 2.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = n - 2. Let w(t) = -6*t + 11. Let l(a) = -2*a**2 + 2*a - 11. Let d be l(0). Give d*x(o) - 2*w(o).\nAnswer: o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 221314 (base 6) in base 13?\nAnswer: 8545","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 129996 to the power of 1\/2, to the nearest integer?\nAnswer: 361","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2933, -2932, -2931?\nAnswer: -2930","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by -520\nAnswer: 3\/520","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/(((q*q**(-13)*q*q*q*q)\/q)\/q))\/q*q)**(-2\/25) assuming q is positive.\nAnswer: q**(-22\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -102 = z - 28*z + 600. Solve -5*u + 3*s - 67 = -37, -2*u + 4*s - z = 0 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 3353, 5 in increasing order.\nAnswer: -2, 5, 3353","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -571*l**2 - 317*l + 48. Let z(q) = 572*q**2 + 317*q - 60. Let b(c) = 5*p(c) + 4*z(c). What is the second derivative of b(a) wrt a?\nAnswer: -1134","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 23 = -23. Let t = -7 - -10. Put t, s, -3 in decreasing order.\nAnswer: t, s, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*o - 18 = o. Suppose -25*c = -t - 24*c + 9229, 4*t = o*c + 36914. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-3))**(2\/79)\/((o**(5\/2)*o)\/(o*o**(-9\/8))) assuming o is positive.\nAnswer: o**(-2339\/632)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -115533 - 19403 = -41*x - 4064. Does 21 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 26659, 53287, 79915?\n\"Answer: 26628*d + 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 134121451 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - 1 - 15\/6 - (-41720)\/21456?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -c**4 + 4*c**3 + 48*c**2 + 112*c + 80.\nAnswer: -(c - 10)*(c + 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8.6 + -11. Let q be 2 - ((-128)\/36)\/(-2). What is the third biggest value in q, 5, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 137531 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 6 - (-2)\/(-3 - -4). Let v be s\/6*3\/2. Suppose 15 = -j + v*j. Calculate the greatest common divisor of j and 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:33 PM and 9:22 PM?\nAnswer: 289","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1318.507l to millilitres.\nAnswer: 1318507","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3.1 + -3.7. Let k = p + 7.1. Which is the closest to k? (a) 1 (b) -2\/11 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*r - 7 = 8*r + c, 1 = 4*r + 5*c. Solve -5*s = 3*k - 0*k + 14, -4*s - r*k = 8 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) be the first derivative of 11*g**6\/6 - 2*g**3\/3 + g**2 + 9*g + 12. What is the second derivative of w(o) wrt o?\nAnswer: 220*o**3 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8 + 14 - 0 - (-11 - -11)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5 (base 13) to base 12.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -f**3 - f**2 - 1. Let q(r) = 6 + 2*r**3 + 2 - r**3 - 7 + 2*r**2. Give q(j) + 2*z(j).\nAnswer: -j**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4957 by 2454.\nAnswer: 4957\/2454","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4087 + 4073. Find the common denominator of 1 + 2\/(-12)*109 and v.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the second derivative of 0*l**3 - 1\/6*l**4 + 6*l + 0*l**2 + 0. Let m(c) = 2*c. What is i(m(f))?\nAnswer: -8*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 11*i + 12. Let c be z(7). Suppose 5*o - 91 - c = 0. Is 9 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20028.\nAnswer: 2, 3, 1669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*n + 4*n**3 + 3*n**2 - 8*n**3 - n**2 + 3*n**3 in the form d*n + t*n**2 + x*n**3 + h and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:14 PM and 1:36 AM?\nAnswer: 682","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 - 57 = -4*h. Let u = h - 13. Find the first derivative of -2 + 4 + u + 3*n**2 - 1 wrt n.\nAnswer: 6*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 646281.2mg in nanograms?\nAnswer: 646281200000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*d + 3*y - 16, -4*y = 2*d - 5*d - 2. Suppose -5*i = 3*o - 2738, -5*i - 373 = -d*o + 1444. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -q + 4*t, -q + 0 + 3 = t. Is (-8 + q)*4\/(-1) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*f = 12*f + 52. What is the third derivative of -f*b**3 + 2*b**2 + 3*b**2 - 11*b**2 wrt b?\nAnswer: -78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8707 - 8710. Sort t, 5, -0.24, -0.3.\nAnswer: t, -0.3, -0.24, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + (-13 - 2 - -20 - 10)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14 is divided by 12\/10*(-80)\/(-12).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -61*b + 67. Let z be f(1). Solve 19*i + z = 25*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0084545 to three decimal places.\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -18765, -18890, -19097, -19386?\n\"Answer: -41*p**2 - 2*p - 18722","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + 6 - 12 - -2 - -4.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*q - 316 + 301. What is the nearest to -2\/7 in -0.2, -3\/7, q?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*z - 21 - 21. What is the tens digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3123 + -3124. Are g and -2\/683 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-j**3 - 5*j**3 + 5*j**3)*(-2 + 3 + 0)*(3 + 0 - 1).\nAnswer: -2*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide -317643 by 316.\nAnswer: -317643\/316","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 106348180 or 106348182?\nAnswer: 106348180","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -146\/1255 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-161)\/(-14) - (-2)\/(-4). Let x = d + 1. Calculate the least common multiple of 16 and x.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k - 5 = 5*k. Let o = -400935\/2 - -200478. What is the second smallest value in o, 0.3, k, -4?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - b = -36. What is the units digit of 100\/45 - (-2)\/b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -6 + (-3 - 7)\/((-112)\/4627). Let p(u) = u**3 - 5*u**2 + 2*u + 7. Let f be p(-6). Let d = f + h. Find the common denominator of d and 35\/12.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.8*5540652.3\nAnswer: 4432521.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -9*b - 1. Let h be z(-13). Suppose -h = -2*u - 12. List the prime factors of u.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, 3, 6654\/19, -5\/2.\nAnswer: -5\/2, -0.2, 3, 6654\/19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 0.105 (b) -24\/5 (c) -8 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15 - (1 + (7 - 4)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 268186369?\nAnswer: 11, 3259, 7481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 53377.4 to the nearest one thousand.\nAnswer: 53000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 340*h - 433*h = -725 - 205 for h.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 31541 (base 15) in base 16?\nAnswer: 26314","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 59053019?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0 - -6. Suppose 4*a = s + 6. Let t be 0 - 9\/(27\/(-6)). Which is smaller: a or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 61163 divided by -61163\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 16567 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2958 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 105 = -3*j, j + 5*t - 144 = -3*j. Suppose 2*i = 10, 4*v - i = 2*i - j. Which is the third smallest value? (a) v (b) 9 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 26241 (b) -14\/15 (c) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, m: 1, t: 2, o: 2, j: 1, k: 1}. Give prob of picking 1 m and 1 k.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6229 divided by 1.\nAnswer: 6229","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*-87440.3.\nAnswer: 437201.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 + 489?\nAnswer: 489.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wvv when three letters picked without replacement from {k: 7, n: 4, b: 2, v: 3, w: 2}.\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -22, -71, -152, -265, -410?\nAnswer: -587","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 32 = 22*x - 19*x, 5*x = 2*y - 32. Let u(m) = -7*m - 6. What is the remainder when u(-5) is divided by y?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the third derivative of -5*u**4\/12 + 43*u**2. Determine c(1).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6 in 0, 0.2, 2, -3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 220684551.999899 - 220684409. Let a = 143 - p. What is a rounded to five decimal places?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -21*y**2. Let o(w) be the first derivative of 19*w**2\/2 + 85. Calculate o(r(b)).\nAnswer: -399*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 465049?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -2345, -4775, -7243, -9749, -12293, -14875?\n\"Answer: -19*s**2 - 2373*s + 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 346?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 40200?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 6481*w - 9. Let i = 242 - 240. Is t(i) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 63205427887 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -71*s. Let n(j) = 21*j + 18*j + 20*j - 58*j. Calculate n(z(l)).\nAnswer: -71*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/((32\/(-14008))\/2). Let j = g - 1132. What is the units digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 441087 is divided by 220540?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3 + -3. What is the tens digit of (-180)\/(-5) + a + -3 + -3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v + 3149 = -16*q + 6507 - 3236, q + 5*v - 18 = 0 for q.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g**5\/5 - 792*g**4 - 7917*g**3\/5 - 3958*g**2\/5 = 0 for g.\nAnswer: -3958, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/(-1) + (1 - 9). Is 90299\/44 + s\/(-8) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -h**2 - 15*h - 23. Let i be s(-13). Suppose 3*k = -0*k + 1137. What is the third derivative of 211*y**2 + 204*y**2 - k*y**2 + 9*y**i + 8*y**3 wrt y?\nAnswer: 102","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22944893 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -453, -453, -451, -447, -441?\nAnswer: -433","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -15727 (base 8) to base 6\nAnswer: -52555","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z - h = 2*z - 13, 4*z + h + 15 = 0 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the second derivative of 2*r**3\/3 - 16*r. Let s(x) be the second derivative of x**4\/4 + 13*x. Determine s(y(q)).\nAnswer: 48*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 3*v = 60, v - 152 + 52 = -5*m. What is the highest common factor of m and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -114, -460, -1036, -1848, -2902, -4204, -5760?\n\"Answer: -y**3 - 109*y**2 - 12*y + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 33680966?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) be the first derivative of -y**2 + 1. Let m(t) = -3 + 4*t - 3 + 1. Let c(n) = n - 1. Let j(b) = -5*c(b) + m(b). Calculate j(d(v)).\nAnswer: 2*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4 and 3.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -153275, -613063, -1379407, -2452313, -3831787, -5517835, -7510463?\nAnswer: -9809677","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 48394.8398 + -48376. What is i rounded to 1 dp?\nAnswer: 18.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 496 minutes after 9:07 PM?\nAnswer: 5:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 74546 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 2, i: 2}. Give prob of picking 1 i and 1 w.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2*(-1)\/36)\/((-44)\/(-1936)). Let j be (-562)\/252 + 2\/(-4). Let m = u + j. Which is smaller: m or 0.3?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 15) in base 8?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -186*u + 186*u - 21*u**2 to the form y*u + p*u**2 + n and give p.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -154*s**4 - 6*s**3 + 5*s - 7. Let t(o) = o**4 - 2*o**3 + 1. Let f(q) = -p(q) + 3*t(q). Find the second derivative of f(x) wrt x.\nAnswer: 1884*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -11 + 11. Find the common denominator of 61\/4 and 92\/48 + y\/1.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = 39 + 1. Let w(r) = 38*r**2 + 3*r + 102. Let q(a) = -114*a**2 - 9*a - 305. Let n(o) = b*w(o) - 3*q(o). What is the first derivative of n(g) wrt g?\nAnswer: 76*g + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that -2*a**4\/13 - 652*a**3\/13 + 1322*a**2\/13 + 3268*a\/13 - 3936\/13 = 0.\nAnswer: -328, -2, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 2*i**3 - 3*i**2 + 4. Let q(d) be the second derivative of d**2\/2 - 6*d - 3. Determine 4*q(r) - s(r).\nAnswer: -2*r**3 + 3*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q**3 - 6*q**2 + 7*q + 1. Let s be n(-7). Let p = -5 + s. What are the prime factors of (-127)\/p - (-5)\/20?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -101\/48636 and -87\/8.\nAnswer: 97272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -160 + 140 + 9*t**2 + 2*t**3 + 65 wrt t.\nAnswer: 6*t**2 + 18*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -53 + 50. Sort g, -2, 6.\nAnswer: g, -2, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 4*w + 0*w + w**3 + 3 - w - w - 4*w**2. Let p be r(2). Are p and 3\/64 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 122\/(-671) + (2030\/(-2156))\/29\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -285795*x**3 - 21*x + 5628 wrt x?\nAnswer: -1714770*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 189909176.\nAnswer: 2, 17, 53, 26347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27878351.\nAnswer: 17, 311, 5273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (405\/150)\/((-12)\/10)?\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4*i**2 - 27*i - 476 wrt i.\nAnswer: 8*i - 27","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -315*g**2 - 322*g**2 + 649*g**2. Let j(c) = 2*c**2 - 4. Let z(b) = 5*b**2 - 9. Let x(s) = 9*j(s) - 4*z(s). Calculate x(q(u)).\nAnswer: -288*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-3*6\/27)\/((-4)\/6)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -8 + 14. Let d = 23 + -8. Solve a = s*a + d for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 23 (base 9) to base 14\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 239274?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -735a (base 12) to base 5\nAnswer: -400343","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 18443801 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -24216.59 to the nearest ten.\nAnswer: -24220","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 - 1 + 3)*(-19*d**4 + 141*d - 141*d).\nAnswer: 57*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -w**3 + 10*w**2 - 16*w + 4. Let v be h(8). Suppose -v*b + 76 = -b + f, -4*f = -16. What is the remainder when 67 is divided by b?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.08 + -0.05. Let z = 0.130075 + p. Round z to five decimal places.\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the second derivative of 0*a**2 - 1\/90*a**5 + 1\/27*a**3 + 0*a**4 + 5*a + 0. Factor p(l).\nAnswer: -2*l*(l - 1)*(l + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 208*g = 269 - 61. Sort 0, -1639, g, 5.\nAnswer: -1639, 0, g, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2851830 and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.32 (b) 0.05 (c) -5 (d) 5 (e) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 47*j**2 - 24*j**2 - 5*j**3 - 23*j**2 + 2*j**3.\nAnswer: -3*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + -2 + 13 + -9 + -16.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -443*s - 428*s = 210*s + 94047 for s.\nAnswer: -87","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1223 - 1199. Calculate the greatest common divisor of 18 and p.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(1\/4)*(v*v**(2\/17))\/v*v*v)\/((v\/v**(-2))\/(v\/v**6)) assuming v is positive.\nAnswer: v**(-383\/68)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -4 (b) -0.1 (c) 588\/443 (d) -70 (e) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*n - r - 16, 3*r + 5 + 7 = -3*n. Let j be ((-10)\/(-4))\/((-2)\/n). Let i = 250 - 210. Calculate the highest common divisor of j and i.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8609?\nAnswer: 8609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 314.7527ml to litres.\nAnswer: 0.3147527","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -800486 + 400844 - 2*u**2 + 399642.\nAnswer: -2*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -75987*i**2 - 75943*i**2 + 151929*i**2 + 2*i**3 - 9*i**3.\nAnswer: -7*i**3 - i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve r + 150 = -9*r - 15*r for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 4 - 2 + (-3 + 3 + 2)*(3 - 3 - 1))*(2*w**2 - 5*w + 5*w)*((1 + 1 - 1)*(3*w**3 - 4*w**3 + 3*w**3) - w**3 - 7 + 7).\nAnswer: -14*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3831*z**2 - 2071*z**2 - 2026*z**2.\nAnswer: -266*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 105*t - 59*t - 1 = 63*t - l + 39 + 19, -25 = -5*t - 5*l for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 2*t + 16. Let o = 25 + -32. Let l be p(o). Suppose 2*y + l*y - 5636 = 0. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(9)\/(sqrt(270)\/sqrt(10))*6.\nAnswer: 2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 65 - 125. Let d = -60.00000027 - x. What is d rounded 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 843148877?\nAnswer: 5717, 147481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v**(-3)*v*v)*v**(2\/21)*v)**(16\/3)\/((v**(-1\/2))**(-1\/30)\/((v\/(v\/v**(-2))*v)\/v**7)) assuming v is positive.\nAnswer: v**(10699\/1260)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1332 and 27.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = u**2 + 33*u - 55. Let f be k(-35). Suppose -5*i = -2*g + 26, -f*i + 12*i - 46 = -5*g. Calculate the remainder when 36 is divided by g.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 1184, 6476, 15294, 27638, 43508, 62904?\n\"Answer: 1763*h**2 + 3*h - 582","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 84 divided by -4?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.43 + 3.57. What is the nearest to 1 in -3, -0.6, j?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 135 and 285?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-15)\/9 + 3)*18\/8. Suppose 2*i + p = 115, 4*p - p = r. What is the tens digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 8707290?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -74656, -74649, -74636, -74617, -74592, -74561, -74524?\n\"Answer: 3*g**2 - 2*g - 74657","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -759 + 219. Round c to the nearest 100.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) be the third derivative of r**6\/780 - r**5\/65 - 45*r**2. Determine t, given that j(t) = 0.\nAnswer: 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -303 - -349. Calculate the remainder when w is divided by 10.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9 - 29 - -18) + 5 - (-1 + -11).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 144041304 (base 5) to base 4.\nAnswer: 2323211021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -2, 1, 6, 13, 22, 33?\n\"Answer: d**2 - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:49 PM and 7:55 PM?\nAnswer: 246","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 6046085 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1588538.9188 + 1588892. Let w = 71.6 - 424.6. Let k = a + w. What is k rounded to two dps?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = q**3 + 7*q**2 + 8*q + 7. Let r(c) = 4*c + 8. Calculate the remainder when r(14) is divided by t(-5).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uh when two letters picked without replacement from {h: 1, o: 1, u: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3, -8, -9, -6, 1, 12?\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 43381*k**5 - 2*k**4 + 4*k**3 - 489839*k?\nAnswer: 867620*k**3 - 24*k**2 + 24*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 66 less than or equal to 1683?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-44)\/6*((-5904)\/64)\/(-123).\nAnswer: -11\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.08 (b) -0.00805 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 137\/12 and -25\/24978.\nAnswer: 49956","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*z = 27*z + 52 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -v**3 + 15*v**2 + 9*v - 9. Let l be w(11). Suppose 2*m = l + 62. What is the hundreds digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + 3 + -12 + (6 - (5 + -15)) - -10?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = 2*w - 12. Let v(n) = -n**3 - 7*n**2 - 13*n - 8. Let i be v(-5). Solve 2*b + i = w for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1\/3679 - 91987\/44148. Let d = -1\/8757 - -2197\/2198007. Let u = d + -59491\/4518. Calculate the common denominator of v and u.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 2*s + 44. Let a be h(4). What is the greatest common divisor of 12 and a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -61 - -79. Let s = 2 - u. Which is greater: s or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 11.79019 - -0.20981. Suppose -26 = 5*s - 11. Are c and s unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4.5 * -161\nAnswer: -724.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 2 + 17*s.\nAnswer: 17*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 8 - 164854\nAnswer: -164846","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 515\/2 - 257. Factor 0*j**3 + 0*j**2 + 0 + 1\/2*j**4 + 0*j - z*j**5.\nAnswer: -j**4*(j - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 412 + -293. Let a = -99 + k. Calculate the smallest common multiple of a and 2.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 20, 0.29, -1\/3, 3\/5?\nAnswer: 0.29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 96217 greater than 481088\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (1\/(-2))\/((-42)\/(-532))*-36*(-19)\/76\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -9140261 + 2540261. Round b to the nearest one million.\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 27 = 2*c, 6*c - c = 2*b + 6. Let l(u) = 0 + 28 - 8*u + u - 12. Let p(t) = 8*t - 17. Let g(w) = b*l(w) + 6*p(w). Give g(7).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4 (b) -1.2 (c) -0.16\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 140*y - 452571 = -138*y - 1765843. Which is smaller: y or 4?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2b8ab - 742?\nAnswer: 2b169","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 2*k. Let o(t) = 10*t**2 - 67*t + 132. Let h(a) = -13*a**2 + 89*a - 180. Let i(w) = -11*h(w) - 15*o(w). Calculate n(i(c)).\nAnswer: -14*c**2 + 52*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/((-66)\/(-44)*40\/(-6))?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1916 = -3*d + 488. Is 12 a factor of (d\/63*3)\/((-2)\/9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 5*p + 620. What is the tens digit of x(0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*q - 21*q = -99. Let t be (-3)\/q*(-39 - -30). Solve -2*f = -3*m + t, f + 2*f - 5 = -5*m for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35872*h = 35873*h - 4*t + 27, 0 = -5*h - 4*t + 57 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 9 + (4440\/(-32))\/15 - (-1)\/(-4). What is the smallest value in 1, 4\/5, 2\/107, 2, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the third derivative of 1\/8*r**4 - 17\/6*r**3 + 0*r + 112*r**2 + 1. Let o(u) = -2*u. Determine o(k(t)).\nAnswer: -6*t + 34","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 285 and 95?\nAnswer: 285","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 209cc3 (base 13) to base 10.\nAnswer: 764546","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 687180725 to the power of 1\/2, to the nearest integer?\nAnswer: 26214","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1\/7 + 2\/7. Let z be (2\/(-45))\/(1\/1345). Let k = z - -60. What is the third biggest value in m, k, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 15 + -11. Let r be 6\/w*(0 + 2). Let a(g) = 5*g**3 + 3. Let h(y) = -5*y**3 - 4. Let m(t) = r*a(t) + 2*h(t). Find the first derivative of m(z) wrt z.\nAnswer: 15*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -5 (b) -2\/33 (c) 125 (d) -3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 55, -5, 3, 5 in decreasing order.\nAnswer: 55, 5, 3, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) be the first derivative of -2*t**3\/3 + 5*t**2\/2 - 3*t - 1. Let j(s) = s**3 + 25*s**2 + 147*s - 27. Let g be j(-10). Determine r(g).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/(-9))\/((-56)\/588)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1.2, 4, -2180028?\nAnswer: -1.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 6 = -a - g, -g - 6 = -2*a. Suppose -2*t - 7 = 4*s + 1, s - 4 = t. Suppose s = 6*i - i. Solve i*k + 8 = -a*k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z**2 - 7*z + 7. Let i be q(6). Let v be -3*(2 + 78\/(-9)). Let h = v - 102\/5. Which is greater: i or h?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 8 and 0.1809.\nAnswer: 1.4472","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -w. Let a(u) = -6*u**2 - 9*u. Give i(a(d)).\nAnswer: 6*d**2 + 9*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 6\/2 - ((-17 - -10) + -1623) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 - 2 + 36*f - 1 + 6 in the form v + d*f and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(1\/10)*j**(-12)*j*j**(1\/3)*j**3*j assuming j is positive.\nAnswer: j**(-197\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -13698198, -27396404, -41094610?\nAnswer: -54792816","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*h**2 + 809211*h - 5664330.\nAnswer: -3*(h - 269730)*(h - 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) be the second derivative of t**4\/12 + t**3\/2 - 35*t**2\/2 + 226*t. Let q be z(-8). Solve h = q*v - 22, 3*h - 13 = 2*h - 2*v for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -69*a**2 - 2 + 70*a**2 + 1 + a**3 as y*a + v + n*a**2 + m*a**3 and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) be the second derivative of 121\/12*c**4 - 53\/10*c**5 + 0*c**2 + 0*c**3 + 2*c + 14. What is the third derivative of j(z) wrt z?\nAnswer: -636","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41520113 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 1392 + (-2)\/7 + 2970\/(-385)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.13 * 0.153.\nAnswer: -0.01989","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1284246?\nAnswer: 2, 3, 71347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 172 and 30616?\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 6546, 6530, 6488, 6408, 6278, 6086?\n\"Answer: -2*j**3 - j**2 + j + 6548","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -5 and 229004224?\nAnswer: 229004229","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -303 - -370 - (46 + -26)\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 970?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*v + 4*a - 20 + 24, -6 = -2*v + a. Suppose -1881 = -v*d + 3*p, 2*d - 4*p = -9*p + 921. Is 36 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 98 + 62 = 2*a - 4*q, -2*a - 2*q + 154 = 0. Is a a multiple of 39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wggg when four letters picked without replacement from gggggwgg.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18710328.\nAnswer: 2, 3, 7, 13, 659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -r**3 - 12*r**2 + 22*r + 19. Let k be d(-14). Let q = 105 - k. Suppose q*z + 0*z = 300. Is z a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -3866, -3828, -3764, -3674, -3558, -3416?\n\"Answer: 13*f**2 - f - 3878","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 952 and 131512.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -5*i - 8. Let n(k) = 7*k - 6. Let s(h) = -19*h + 17. Let a(d) = 11*n(d) + 4*s(d). What is -9*a(r) - 2*g(r)?\nAnswer: r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3\/((-48)\/(2 + 4) + 9). Find i, given that 6*i**2 + 2\/11 + 80\/11*i**r + 20\/11*i + 32\/11*i**4 = 0.\nAnswer: -1, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19608 a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:06 PM and 5:29 PM?\nAnswer: 323","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 - 12 - -16) + -9?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (14 - (19 + (3 - (-14 - -18)))) + 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7467 = 26*o + 61*o - 10281. Solve o = 32*f - 20 for f.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -369053, -1476210, -3321471, -5904836, -9226305, -13285878?\n\"Answer: -369052*f**2 - f","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -2*(-2)\/4 - (18 - 174)?\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 2, r: 5}. Give prob of sequence rgg.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -3*w + 2*g + 1, -3*g - 23 = 4*w. Let o(h) = h - 4. Let j be o(6). Sort w, -4, j in descending order.\nAnswer: j, w, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -113\/108360 and -11\/139320?\nAnswer: 975240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(1*sqrt(5))**2 - (-5 + sqrt(20))) + -5.\nAnswer: -2*sqrt(5) + 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = c. Let b(x) = 3*x + 2. Let s(a) = -5*b(a) + 20*k(a). List the prime factors of s(18).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-132)\/(-1705))\/((-945)\/9765)?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 2*u**2 - 7*u + 6. Let b be (-8)\/10*(-30)\/4. Let t be y(b). Suppose 720 = 19*z - 11*z. What is the highest common factor of t and z?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -84 - 13 - (-24 - 20)?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -3*n - 23. Suppose -18 = -d - b, 11*b = 6*b. Let w be (-1 - 8\/(-6))*(d + -36). Determine l(w).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -8.108 - -0.108. What is the closest to 5 in k, 2, 0, -0.3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3.7 + -3.7. Put 1\/7, u, -3, 5 in decreasing order.\nAnswer: 5, 1\/7, u, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 799 and 34.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 9.876227mg?\nAnswer: 0.000009876227","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 12\/(-72) + (-3698)\/60. Let b = 2537\/40 + z. Let d = 98191\/4790 - -2\/2395. Calculate the common denominator of b and d.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0\/(1*(1 + 0))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 8*v + 1. Let r(h) be the first derivative of 7*h**5\/120 + h**4\/24 - h**3 - 1. Let s(q) be the third derivative of r(q). Calculate 6*o(j) - 7*s(j).\nAnswer: -j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -16*(-6)\/24 - 1003\/5. Let p = 197 + u. Let n = -5 - -4.85. Is p greater than or equal to n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 2*l. Let j be g(1). Let q(v) = 23*v - 43. Let f be q(2). Suppose 2*m - 12 = -3*m + j*d, -f*m - d = -5. What is the highest common divisor of m and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 862 is divided by (24*(-8)\/(-24))\/((-4)\/(-18)).\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*k - 7 = -3*p - 1 - 21, 5*p + 3*k + 25 = 0 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**(-1\/4))**41\/(a**24*a*a**(-3\/16)) assuming a is positive.\nAnswer: a**(95\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*s + 8*s**2 + 6*s)*(s**2 - s**2 + 3*s**2) + 2*s**2 - 4*s**4 + 24*s**2 + 0*s**2.\nAnswer: 20*s**4 + 26*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*g**2\/9 - 12292*g\/9 + 3134576\/3.\nAnswer: 4*(g - 1636)*(g - 1437)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the second derivative of -583*a**7\/42 - a**4\/6 + 263*a**3\/6 - 6*a + 15. What is the third derivative of k(i) wrt i?\nAnswer: -34980*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -3*((-6)\/8)\/(45\/(-1160)). Let u = 40 + a. Calculate the remainder when ((-1)\/(-4))\/(u\/(-648)) is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5993103?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -50, -4, 102, 1, 6 in increasing order.\nAnswer: -50, -4, 1, 6, 102","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 6 = 14. Let k = 3 + f. Factor k - 8*t + 0 + 2*t**2 + 0*t**2.\nAnswer: 2*(t - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2507 + 2507.4. Which is the nearest to 2? (a) 1 (b) v (c) -5 (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 35715 and 285?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express ((2 - 4 + 5)*(-4 + d + 4) + 2*d - 2*d - 2*d)*(273*d**2 + 229*d**2 - 912*d**2) in the form f + l*d**3 + n*d**2 + u*d and give l.\nAnswer: -410","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 772, 361, -760, -2945, -6548, -11923?\n\"Answer: -59*u**3 - u**2 + 5*u + 827","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/30)\/((-1)\/(3\/(-1)))?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 33 = -42. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 562621, 1125236, 1687839, 2250430?\n\"Answer: -6*y**2 + 562633*y - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1 + 0. Let j = 4.1 - 0.1. Suppose 17*l = -0*l - 85. Which is the second biggest value? (a) l (b) j (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(612) + -1 - (sqrt(187)*1 + sqrt(187))\/sqrt(11)) + -4.\nAnswer: -5 + 4*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 342 and 6498?\nAnswer: 342","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-15)\/(-12) - (0 - 1). Is 1 at most z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.053 greater than or equal to -2\/69?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/20 of a litre?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 5\/12 and 8\/(-40) + 273\/135.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1077796393 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1137 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the first derivative of x**6\/10 + x**5\/30 - 9*x**2 - 3. Let i(l) be the second derivative of b(l). Find the third derivative of i(t) wrt t.\nAnswer: 72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 2, w: 1, z: 1, q: 1, t: 2}. What is prob of sequence wjqz?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-232*n**3 + 422*n**3 + 1470*n**2 - 191*n**3 - 2*n)*(-1 + 0 + 2).\nAnswer: -n**3 + 1470*n**2 - 2*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -89\/5314 and -7\/20.\nAnswer: 53140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -94650, -189342, -284034?\nAnswer: -378726","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*z - 3 - 13. Let q(h) = -4*h**2 + 7*h - 7. Let i(a) = -8 + 50*a**2 + 8*a - 42*a**2 - 13*a**2. Let v(r) = z*q(r) - 3*i(r). Let v(y) = 0. What is y?\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*d**3 - 13*d - 5*d - 3*d + 6*d.\nAnswer: -22*d**3 - 15*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -z**2 - 9*z - 8. Let l be o(-6). Let s be (-2458)\/18 + l\/(-45). Let p = 137 + s. Which is the third smallest value? (a) -1\/7 (b) p (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 162 + 1613?\nAnswer: 2105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*f**3 - 8*f**3 + 30*f**3 - 45*f**3.\nAnswer: -2*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 759 + -95?\nAnswer: 6a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**2 + 12*d - 108.\nAnswer: (d - 6)*(d + 18)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1044\/54 + 5\/3. Solve -p + 8*p = -x for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -202 - -100020120101122?\nAnswer: 100020120100220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h, 1 i, 1 b, and 1 z when four letters picked without replacement from izbqqihqbi?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35 = 5*t + 5*z, 4*z = -35*t + 39*t + 12 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -23 + 32. Let g = i + -6. Which is the third biggest value? (a) 0.3 (b) 1\/3 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*t - 1590 = -8*t. Let h = 108 - t. Suppose 2 = -2*q + 4*q + h*s, 0 = -4*q - s + 10. Solve q = f - 1 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r*r*r*r\/((r*r\/(r**(-4)\/r))\/r)*r)\/r*r)\/(r\/(r*r\/(r*r**(-2\/5)))*r)*(r\/(r\/r**(1\/3))*r*r)**(-13))**(13\/6) assuming r is positive.\nAnswer: r**(-6227\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -88 + 93. Suppose 4 = -x - 11. Let p = x + 20. Solve 2*d = -p*i + 13 + 2, -t*d + 6 = 2*i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -19 + 46. Suppose -5*l + 35 = -d, -6*d + 4*d = -5*l + 40. Suppose -x + 9 = -l*u. Solve 3*n + 3*i = 2*n - 4, -2 = -u*n - 2*i for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18\/((22\/(-99))\/((-5)\/45)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -52 + -281?\nAnswer: -303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2 + 4. Suppose p*n + 255 = 7*n. Let d = -16 + n. What is the highest common factor of d and 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 260\/12 - (-2)\/(-8)*1288\/483?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 81\/4 of a meter?\nAnswer: 20250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + 0 + 2*f**2 + (4*f - 5*f + 5*f)*(f - 4 + 4) + (2*f - 5*f + f)*(2*f - 4*f + f) - 21*f**2 - 36 + 36.\nAnswer: -13*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 24\/(-20) + 63682\/85?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 246 + 0. Suppose 0 = -2*l + k + 328. What are the prime factors of l?\nAnswer: 7, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3, -6, 44212?\nAnswer: 44212","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 770879677 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -120\/7 smaller than -17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 15\/74*(80920\/425)\/(-119)\nAnswer: -12\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -0.5, -1.67, 2\/13, -5?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 20 = 2. Suppose t - 13 = -u. Solve -t = -k - 0 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2*1\/2*-1. Let z(i) = -i**3 + 6*i**2 + 5*i + 5. Let h(o) = -2*o**3 + 13*o**2 + 11*o + 11. Let f(j) = 6*h(j) - 13*z(j). What is f(y)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -10*l + 22. Let r be k(2). Suppose -16 = -3*a + r*d, 0*a - 4*d = 5*a - 12. Solve 0*s = 2*s - a for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 265 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h**2 + 9*h - 5. Let b(d) = d**2 + 8*d - 4. Let w(r) = -6*b(r) + 5*q(r). Let y be w(-2). What is the units digit of y + (-6 - -2) + (56 - -3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/9? (a) 22 (b) -4 (c) 0.24 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ttt when three letters picked without replacement from {y: 9, t: 5}?\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 624 - 606 - (30 + (2 - 5))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1*(-1 + 2)\/(-1). Let d(p) = -p + 8. Let n be d(7). Let m be (n\/(f\/(-4)))\/1. Solve -19 + m = -5*h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is b4b94 (base 15) in base 8?\nAnswer: 2137075","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9998*y + 1016*y**2 - 9995*y + 19997*y to the form a*y + k + v*y**2 and give v.\nAnswer: 1016","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -2 + 5 + -1 + 2. Suppose i*s + 2 = 5*s. Factor -5*n + 4*n**2 + 2*n - 2*n**s - 3*n.\nAnswer: 2*n*(n - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-20000)\/((-3)\/((-81)\/(-6))). Suppose 3*y - i = 4*y. Round y to the nearest 100000.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is c in -3*c**3 - 216*c**2 + 279*c + 4380 = 0?\nAnswer: -73, -4, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -1, 10, -637, 8, 41 in decreasing order.\nAnswer: 41, 10, 8, -1, -3, -637","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-399)\/(-675) - (10\/6 - 1). Let u = -12299\/4950 - w. What is the common denominator of u and 9\/4?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (18\/84)\/(((-61)\/1220)\/(((-49)\/(-8))\/7))?\nAnswer: -15\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5\/(-15) - (-97750)\/345 is divided by 193.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -16, -5, -3, 0, 4.\nAnswer: -16, -5, -3, -1, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*u - 7*u = -2720. Let c = u - -138. What is the closest to -2.8 in c, 2\/11, 4?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + (-19 - (-40 - -20)) + -3 + -1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4 - -3.5. Let d be ((-11)\/22 + -6)*2\/(-26). Which is the nearest to 2\/13? (a) 2\/3 (b) d (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -5*q**2 + 2*q - 1. Give f(1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 42 = -2*t, -5*t - 1091*u = -1094*u + 133. Let x(g) = -8*g + 1. Let h be x(4). Is t not equal to h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1 - 300102?\nAnswer: -300103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = -4*s + 3*s + 2*n, 0 = -4*s - 4*n + 112. Let j = 38 - s. Solve 2*y + j = -h, 2*y + 0 + 12 = -2*h for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7, 31, 63, 103, 151?\nAnswer: 207","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 151751 is divided by 18636.\nAnswer: 2663","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 4*t - 126 = 0, 2*b + 2*b = -t + 270. Calculate the remainder when b is divided by 35.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 45 and 333?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = d**3 + d - 1. Let j(w) be the second derivative of -1\/2*w**2 + 1\/12*w**4 + 1\/5*w**5 + 1\/6*w**3 - 14*w + 0. Let v(r) = 3*a(r) - j(r). Calculate v(2).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = v + 55. Let i be 6\/27 - v\/(-108). Suppose 0 = -4*g - g. Is i != g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*y**2 - 267820*y + 3586377620.\nAnswer: 5*(y - 26782)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 8*n**6 + 11*n**2 + 1768*n**5 - 1768*n**5 wrt n?\nAnswer: 960*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 3, z: 5, n: 1, v: 6, c: 5}. What is prob of sequence nmcm?\nAnswer: 1\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - l + 13 = 5*f, -l - 3 = -2*f. Let y(a) = -l + 2*a + 0*a - 1 + 3 - 5*a**3. What is the remainder when y(-1) is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 64147?\nAnswer: 23, 2789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (142\/(-364))\/((-19)\/285). Let b = -125\/14 + d. What is the common denominator of b and (18\/105)\/((-2)\/10)?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -u - 4*z, -4*u + z + 52 = 5*z. Solve 5*x - 5*m + 30 = 0, -4*x - m - u = -3*m for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 4, t: 2}. Give prob of sequence tss.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 5*b. Let k be (4 + 1)*(-4)\/(-10). Let h(y) = 5*y**2 - 132*y + 55. Let q be h(26). Let f(a) = -4*a**2 + 4*a**2 - q*a**k. Determine o(f(l)).\nAnswer: -15*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 46\/(-460)*6*15?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = k**2. Let n(p) = 87*p. Determine r(n(q)).\nAnswer: 7569*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -223*t - 2 + 9 - 43*t - 5.\nAnswer: -266*t + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -23 + (33 - 4) + -1 + -27.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 42\/(-6) + (-2098)\/(-238). Let j = -9\/17 + y. Solve -3\/7*n**2 - 6\/7 - j*n = 0 for n.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12*6\/96)\/(3\/(-2)).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 199444 and 306.\nAnswer: 1794996","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.2 (b) 4 (c) 0.6 (d) -0.4 (e) -44199\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -138 in -1\/2, 8, 2\/61, -1\/11?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0*4\/(-8)*1. Let r be 8\/(-12)*(-3)\/((-4)\/(-4)). Suppose -2*q - r*q = -2*o - 7136, g = 2*q + 4*o - 3558. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 73416\/(-1140) + (1 - 13) + (-12)\/(-30)?\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-2\/3)*s*s**(-2\/17))\/(s*s\/s**(-2\/15)*s**(-15)) assuming s is positive.\nAnswer: s**(1112\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 328961 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 5 (b) -36 (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -6 - 6536335?\nAnswer: -6536344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 12444 and 16332240?\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 24 - 2. Suppose -2*x - 3*x = -25. Let u = 7 + x. Calculate the remainder when b is divided by u.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -a31 (base 15) to base 6\nAnswer: -14344","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-5*sqrt(2)*-3)**2.\nAnswer: 2250","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -340*w**3 - 201*w**3 + 437*w**3.\nAnswer: -104*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-68 - -14) + -17 + 11 + (-16 - -17)?\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*g - 2*g**2 - 5*g)*(5*g**3 - 3*g**3 + 10*g**3) + (-2*g + 0*g + 6*g)*(-2*g**4 + 2*g**4 + 2*g**4).\nAnswer: -16*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -7011 + -14243?\nAnswer: -22254","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/32)\/(8\/(-192)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 2*m**2 - 7*m - 492. What is w(-14)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-24*1)\/((-2)\/2). Suppose -g - 4 + z = 0. Does 10 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) be the first derivative of w**6\/90 - w**5\/40 - 13*w**4\/24 - 41*w**3\/3 + 19. Let u(p) be the third derivative of g(p). What is the tens digit of u(6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-1\/23))**45 assuming o is positive.\nAnswer: o**(-45\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -116234 in -0.4, -0.1, 3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -219*v + 2906. What is b(13)?\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vh when two letters picked without replacement from {o: 4, g: 1, v: 6, h: 3}?\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 3943 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(2025) - -1*sqrt(2025))\/sqrt(5) + 5*(0 + 3*sqrt(5))*-6)*-4.\nAnswer: 432*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:12 PM and 1:29 PM?\nAnswer: 77","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**0*n*n)**(36\/5)*(n**(-1\/4)*n*n)**(2\/5) assuming n is positive.\nAnswer: n**(151\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 304230118 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 prob of sequence ufxu when four letters picked without replacement from {x: 1, f: 2, u: 1, s: 1, k: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: What is 50\/300 + 319\/(-546) - 2\/13?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 531.8 - -0.1?\nAnswer: 531.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3760796755\/966 + -3893164. Let j = -3\/322 + d. Is 26 not equal to j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -r**2 - 12*r - 2. Let j be ((-4)\/(-6))\/((-4)\/66). Calculate o(j).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.021 + 5.421. Let l = -1164.3 - -1170. Let u = l - p. Which is the nearest to -2? (a) u (b) 0.1 (c) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide ((-21492)\/10)\/(1872\/(-80) + 23)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10995?\nAnswer: 3, 5, 733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 4*y + 4 = 0, 2*m + 5*y + 8 = 3*y. Sort -2, 5, m, 55 in descending order.\nAnswer: 55, 5, -2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 116314?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1)\/(4 - (-63)\/(-15)). What is the third derivative of a*q**2 - 7*q - 82*q**4 + 12*q**4 + 2*q + 3*q wrt q?\nAnswer: -1680*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 104*z**3 - 106*z**3 + 6*z**3 - 6*z**3.\nAnswer: -2*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -9*j**2 + 5*j + 4. Suppose 98 = -32*h + 354. Let x(q) = 14*q**2 - 8*q - 6. Give h*c(o) + 5*x(o).\nAnswer: -2*o**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 13785, 13790, 13799, 13812?\nAnswer: 13829","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 134603 is divided by 629.\nAnswer: 626","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -33 + 33. Suppose -7*s + 13 + 1 = u. What is the third derivative of 845*n**4 - 845*n**4 - 2*n**s + 11*n**5 wrt n?\nAnswer: 660*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -109988*i**4*t**2 + 6*i**3*t**2 + 9*i*t**2 + 616*i + 527*t**2 wrt i?\nAnswer: -1319856*i**2*t**2 + 36*i*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1a208e22 - 4?\nAnswer: 1a208e1d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -68 = 2*m + 4*h, 2*m = -h + 6*h - 50. Let s = m - -60. Is 30 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(119) - -1*sqrt(119)*-6 - (sqrt(119) + sqrt(119)*1*1)))\/(-2*(sqrt(175) - sqrt(175)*2)*3).\nAnswer: -7*sqrt(17)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 84*t**2 + 2 - 1203*t**2.\nAnswer: -1287*t**2 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 34459 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 13 + 3. Let h(v) = -6*v - w + 0*v + v**2 + 6*v. Determine h(0).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*a - 20*a - r = -20, 3*r - 12 = 0 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 280 is divided by 52.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = g**3 + 5*g**2 - 6*g + 1. Let m be n(-6). What is the units digit of m\/(-5)*-3 + 417\/5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37 = -21*k + 89 for k.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2031 (base 4) to base 2.\nAnswer: -10001101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 0 + 2*j**3 - j**3.\nAnswer: j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/2, 1.1, -1\/3, -0.4, -17620?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -c. Suppose 4*m - f = 2*m - 1, 0 = 5*f + 15. Let v be n(m). Let a be ((-5)\/(-15))\/(2\/84) - 2. Solve -5*q - 4*h + a = 0, -4*q - v*h = 4 - 10 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = -2*r, -4*f - 17 = 14*r - 11*r for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m**5\/2 - 25*m**4\/2 + 33*m**3 = 0. What is m?\nAnswer: 0, 3, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 132 and 330.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 70.50531 millennia to years.\nAnswer: 70505.31","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.777 times -4125?\nAnswer: -3205.125","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 76 - 80. What is the third smallest value in -3\/7, 1, 0.15, j?\nAnswer: 0.15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 234 = 314. Suppose -3*r + 196 = -x, -3*x - u = -4*r - 8*x. Let c(p) = 2*p**2 + 28*p + 96. Calculate the least common multiple of c(-5) and r.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.119874 * 780\nAnswer: -93.50172","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 603 in -6, -4, -251?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 23\/58 > -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13731 is divided by 4479.\nAnswer: 294","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 + (4 + -1)\/(5\/(-5)) + 3597 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 25*(-8)\/(-560)*42*-4?\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = d**3 + 7*d**2 + d + 2. Let l be j(-7). Let g = -5 - l. Let r = g - -5. What is the lowest common multiple of r and 11?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1.2 and 13?\nAnswer: -15.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 565*m**3 + 6*m**2 - 282*m**3 - m - 18 - 282*m**3 - 12.\nAnswer: (m - 2)*(m + 3)*(m + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29*p + 88 - 179 + 91.\nAnswer: -29*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3 + 2.9. Suppose 0*l + 5*l + 53 = -3*n, 4*n + 4*l + 60 = 0. Let m be 1\/(-6) + n\/(-33). Which is the nearest to f? (a) 5 (b) m (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 404 + -403.803. Let q = 0.203 + p. Which is the closest to 5? (a) -3 (b) -4 (c) 1 (d) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z*z**(-8)*z*z**(-34)*(z*z\/(z\/z**(2\/37)))\/z**10)**(-4) assuming z is positive.\nAnswer: z**(7096\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 388 and 13124197.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 630411?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -9, 0.5, 2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -s**3 - 11*s**2 + 13*s + 10. Let h be i(-12). Let r = 4 + 1. What is the second biggest value in h, 0.3, r?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 25 - 15. Suppose 2 + n = 3*u. What is the remainder when (-4)\/(-10) + (-28)\/(-5) is divided by u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 4 - 3 - 2*f + 0 + 3. Give s(4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = 2*c, 3*c - 14 = y + 7. Calculate the common denominator of ((-129)\/(-15))\/(c\/(-5)) and 51\/14.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 2*v - 2. Let s = -9 + 5. Let k(u) = -2 + u - u + 2*u. Let p(r) = s*k(r) + 3*a(r). What is the first derivative of p(i) wrt i?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(4\/3))**(4\/5)*(j**(-8))**(-2\/17) assuming j is positive.\nAnswer: j**(512\/255)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -111*y**2. Let u(g) = -2*g**2. What is u(c(f))?\nAnswer: -24642*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000013407 to seven decimal places.\nAnswer: 0.0000134","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 58 + -54. Suppose b + 2*r = 2 - 8, -r + a = 4*b. Solve 2*y = -8 + b for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in u**2 - u**3 - u**2 + 72*u**3.\nAnswer: 71*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -h**2 + 7*h + 4. Let x be y(6). Let w = -6 + x. Suppose 193 = 5*c + 43. Solve -c = -w*i - 10 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3494421344, -3494421345, -3494421346, -3494421347, -3494421348, -3494421349?\nAnswer: -3494421350","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) be the second derivative of 5*h**4\/12 - h**3\/3 + 3*h**2\/2 - 227*h. Let c = -5 - 0. Let q(z) = -9*z**2 + 3*z - 5. Determine c*d(r) - 3*q(r).\nAnswer: 2*r**2 + r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1973 is divided by 31 - (-768)\/80 - 1*14\/(-10)?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4\/(-26) - (-82)\/26. Let j be (-179)\/516 + q\/(-9). Let m = 3\/43 - j. Which is the third smallest value? (a) 1 (b) -4 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/13, -7.28, -1, -182 in increasing order.\nAnswer: -182, -7.28, -1, 1\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 4*t**2 - 4*t. Let b = 3 + 5. Let f(a) = -3*a**2 + b*a - 5*a + 0*a**2. Let q be ((-31)\/((-1178)\/57))\/(6\/(-20)). Calculate q*f(y) - 4*i(y).\nAnswer: -y**2 + y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1008) + 0)*6.\nAnswer: 72*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -0.7058 times -0.4\nAnswer: 0.28232","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 525 minutes before 10:18 AM?\nAnswer: 1:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 357 and 3560718.\nAnswer: 357","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 2, q: 4, i: 8}. What is prob of picking 2 i?\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.063 + 0.763. What is the third biggest value in -5, 3, 1\/2, p?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -48, -323, 7, 1 in increasing order.\nAnswer: -323, -48, 1, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from breggex. What is prob of sequence rb?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand c**5 - c**5 - 2*c**5 + (14*c**3 - 7*c**3 + c**3)*(-13 + 13 + 9*c**2).\nAnswer: 70*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1835672 = 14*j - 1835658 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*x + 8364 = 3*p + 26*x, 3*x = p - 2772. Suppose -5*v + 1601 = -p. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, 1\/2, -5, 0.18 in increasing order.\nAnswer: -5, 0.18, 0.4, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 10 + ((-2)\/(-2))\/(1\/(-8)). Put 305, 0, z in decreasing order.\nAnswer: 305, z, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16.35549 hours in seconds?\nAnswer: 58879.764","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -39036, -39038, -39042, -39048, -39056?\n\"Answer: -k**2 + k - 39036","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1 + 2. What is the second derivative of z + k*z + 2*z**2 - 3*z + 2*z wrt z?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2402341 (base 8) to base 9\nAnswer: 1210625","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-34)\/136)\/(2\/8) + -2 - -15729.\nAnswer: 2, 3, 2621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-12)\/(-10)*1*-5. Let i be 16 - (-4)\/6*m. Suppose -2*p = 2*s - i, p + 4*p + 12 = 2*s. Solve 3*x + s = -0 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/7, -5, 0.5, 5 in increasing order.\nAnswer: -5, 3\/7, 0.5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 39*v + 2. What are the prime factors of q(1)?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + -1 + 4 + -1.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 91919 is divided by 323?\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -3*i, -85218 = -2*x + 5*i + 25170. What is the units digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -9*o**3 - 6*o**2 + 7*o + 6. Let p = 240 - 238. Let v(g) = -5*g**p + 57 - 115 + 63 + 6*g - 8*g**3. Let x be 2 - 7 - 0\/(-2). Give x*a(d) + 6*v(d).\nAnswer: -3*d**3 + d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 26\/(-30) - (111 - 112).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*z**2 - 3*z + z**2 + 3*z.\nAnswer: 3*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 178 = 2*y + 38. What is the remainder when 4*(-1)\/(4\/(-19)) is divided by (y\/(-21))\/(1\/(-3))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -14778*m - 8157521. What is g(-552)?\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 724.\nAnswer: 2, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -2\/1811?\nAnswer: -2\/1811","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.36427518 to two decimal places.\nAnswer: 1.36","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 72 = -23*k + 164. Solve -k*z + 12 = 4 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3873, -6981, -10077, -13155, -16209, -19233, -22221?\nAnswer: -25167","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -101 + 125. Calculate the remainder when 120 is divided by f.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dn when two letters picked without replacement from {d: 5, n: 8}.\nAnswer: 10\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 5 + 1)*(-76*y + 4839 - 4839)*(-3*y**2 + 0*y**2 + 2*y**2).\nAnswer: -152*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = -2*o + 12, -2*l + 4*l - o + 12 = 0. Let z be l\/10*(-16 + 1). Solve -3*s = 6*d - 2*d - 4, 0 = 5*d + s + z for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-34)\/6*3*(-19)\/(-19)\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 103 and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -w**3 - w**2 - 3*w + 63. What is s(0)?\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 95114044 a multiple of 277?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-33)\/(-15) + (-2)\/10 + 1.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -3\/865414 and -143\/1180110.\nAnswer: 12981210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -573 + 575. Let o be (-2)\/(-6) + (-34)\/12. Suppose -4*g = -z + 23, 4 = -g - 5*z + 14. Which is the closest to 1\/4? (a) o (b) n (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 6571 and 0.3.\nAnswer: 1971.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -28978964 divided by -7?\nAnswer: 4139852","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.2 (b) -0.4 (c) 616 (d) 6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1640156 and 532?\nAnswer: 532","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 5, v: 9}. Give prob of picking 1 w and 1 v.\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*z + 42 = 11*z. Let b = -9 + z. Is b a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -r**3 + 8*r**2 - 7*r. Let m be z(7). Let y(h) = h**2 - h + 4. Let a be y(0). Suppose 2*f = a*f - 4. Solve -o + 5*o - 4 = m, -f*o = -2*s - 4 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.14 + -0.14. Let l(n) = -n + 19. Let i be l(11). Let u be 11\/(-4) - 2\/i. Is y less than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qfq when three letters picked without replacement from {k: 1, f: 1, j: 2, q: 2}?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 43824?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 632 and 632.\nAnswer: 632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -11*r + 44. Let h be x(4). Suppose i + 0*i - 12 = -3*y, 6 = 2*i. Suppose y*t - 11*t + 9192 = h. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 353.1 + -353. Sort -13\/3, 3, d in descending order.\nAnswer: 3, d, -13\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22615336361 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 4*d = 3, -3*z + 1 + 22 = -4*d. Suppose -2*h = -z*g + 2266, 3410 = -3*h + g + g. Find the common denominator of 113\/20 and 204\/(-54) + 4 - h\/792.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hlhiihahallhhiali. What is prob of sequence alh?\nAnswer: 3\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Product of -767 and -0.03.\nAnswer: 23.01","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3712?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 441\/(-18)*10\/(-5) is divided by 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 644 = 5*x - 61. Let u = x - 139. Solve -n - u = -5 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) be the first derivative of -2*f**4 - 25*f**3\/3 - 243*f**2 + 572. What is the second derivative of x(q) wrt q?\nAnswer: -48*q - 50","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1001000010 (base 3) to base 5.\nAnswer: -1123130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -622 - -627. Suppose 5*u + 197 = 3*q - 297, 0 = 5*q - u - 816. Calculate the remainder when q is divided by p.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1)\/(-4) + (-1 - (-450)\/24). Let b be 114\/g - 1\/(6\/(-4)). Let z(j) = 3*j - 1. Let r be z(2). Solve -r*a + b - 2 = 0 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 - 5 = 3*v. Put 1, -2, v in ascending order.\nAnswer: -2, 1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/10 - -2) + (-574)\/205.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2211*n**4*t**3 + 7*n**4 - 2*n**3*t**3 - 8872*n**2*t**3 - n*t**2 wrt n?\nAnswer: 53064*n*t**3 + 168*n - 12*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = p**2 - 77*p + 1162. What is m(56)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 35 is divided by 13?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1 + (9\/(-6) - 0). Let t be 6\/21*7\/3. What is the nearest to g in -0.1, t, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 5, 3, -0.5, 16\/9?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 252 minutes before 10:02 PM?\nAnswer: 5:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -5*r**2 + 9*r + 8. Let o(x) = -x**2 + 2*x + 2. Let w(z) = 9*o(z) - 2*p(z). Differentiate w(f) with respect to f.\nAnswer: 2*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - 54 - -26 - -24 - (67 + 0).\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 22807 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = l**3 - 6*l**2 + 4*l + 4. Let w be 3665\/35 - 4\/(-14). Let s(v) = 3*v**2 - 8. Let z be s(6). Let x = w - z. Give m(x).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5748\/7*m**3 + 4014\/7*m**2 - 24\/7*m**5 - 384\/7 + 1270\/7*m**4 + 872\/7*m = 0 for m.\nAnswer: -1\/3, 1\/4, 1, 4, 48","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.090847 - -3.3?\nAnswer: 0.209153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*c**2\/11 + 8940*c\/11 - 89200\/11.\nAnswer: -2*(c - 4460)*(c - 10)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v**2 - 25*v + 8. Give l(24).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.5714 + -40.0186. Let y = z - -40. Let h = y + 2.65. Round h to one dp.\nAnswer: 2.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22459 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -5547+713\nAnswer: -4834","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 27 + -31. Let k be (-1 + 1 + 1)\/(270\/(-60)). Which is the nearest to k? (a) 3\/5 (b) f (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 7*h + 17. Let p(m) = 6*m + 1 - 3*m + 7. Let a(x) = -6*f(x) + 13*p(x). Let t(g) = -3 + 1 + 7*g - 5*g + 0. Give -3*a(i) - 4*t(i).\nAnswer: i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 + 4 + 2 - 83*z**2.\nAnswer: -83*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 733323107?\nAnswer: 11, 19, 67, 52369","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence opp when three letters picked without replacement from kpkookkokpkkppookp?\nAnswer: 25\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 1218*b**2 + 8*b - 7. What is the tens digit of p(1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r - 33 = -3*i, -14*r - 2*i = -13*r - 17 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ssxsxoxvsvovovxx. Give prob of sequence vx.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 107142?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -a**2 - 66*a - 444. What is i(-7)?\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5 - -6) + (-1 - 3) + 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -30*(2\/(-5) + 0). Let g(y) = y**3 - 13*y**2 + 5*y - 1. Let a be g(i). Let u = -20 - a. Is 13 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3.28 - 0.28. Let l = m - 2.9. Which is the second smallest value? (a) 1\/4 (b) l (c) -0.5 (d) 0.12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1708 is divided by 663.\nAnswer: 382","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 41755941?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -40 - -3a9?\nAnswer: 369","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4782 is divided by 581.\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*g**2\/9 + 22*g\/9 + 484\/9.\nAnswer: -2*(g - 22)*(g + 11)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1 - -67db?\nAnswer: 67da","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n and 2 g when four letters picked without replacement from tnggtstunnsn?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/5 of a litre?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 4992?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 15000 + -14527. What is the third biggest value in c, 0, -1, -1\/8?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (237 - 246)*51\/(-27) + -117?\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 14 by 6112.\nAnswer: 7\/3056","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 111111 - -101010001101100000?\nAnswer: 101010001110011111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*m**4 - 18*m**3 + 24*m**2 + 40*m.\nAnswer: -2*m*(m - 2)*(m + 1)*(m + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o**4\/2 - 19*o**3\/2 + 36*o**2 - 10*o - 56 = 0. What is o?\nAnswer: -1, 2, 4, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 179410?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -2048*h - 10. Let r(j) = -410*j - 2. Let c(m) = 29*r(m) - 6*y(m). Let i(u) = -u. Calculate c(i(v)).\nAnswer: -398*v + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1584 + 1585. Sort -1\/5, -11, p, 4.\nAnswer: -11, -1\/5, p, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*b**2 + 0*b**4 + 1454 - 5*b - 2*b**4 - 1455 in the form o*b**3 + c*b**2 + i + r*b**4 + y*b and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5028 is divided by 5\/((-20)\/(-164)) + 6.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 108 = k + 3*k + 2*a, 2*k + 2*a = 58. Let q(r) = -25*r. Suppose -5*z = -z + 20. Let t be q(z). What is the greatest common factor of k and t?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10)\/(-6)*(-24)\/(-1100)*(-110)\/(-66)?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -q**2 + q. Let d(y) = 6*y**2 - 5*y. Let h(r) = -3*d(r) + 3*o(r). What is the second derivative of h(a) wrt a?\nAnswer: -42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that b**3\/2 - 345*b**2\/2 + 2164*b - 1992 = 0.\nAnswer: 1, 12, 332","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 107892 and 324.\nAnswer: 324","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 257140433?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the second derivative of -4*s**3\/3 + 3*s - 11. Let b(j) = -383327*j + 383327*j - 2*j**2. What is q(b(f))?\nAnswer: 16*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**3\/2 + 771*k**2\/2 + 3105*k\/2 - 3875\/2.\nAnswer: -(k - 775)*(k - 1)*(k + 5)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 56*r = 77*r + 42 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 195748.\nAnswer: 2, 7, 6991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -t**2 - 11*t. Let n = 5 + 3. Let i(v) = 2*v + n + 0*v - 8. Let p(r) = -11*i(r) - 2*j(r). Let u(o) = 6*o. Determine p(u(q)).\nAnswer: 72*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 71838915?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25\/(-75) + 42196\/3 + 6 + -6.\nAnswer: 5, 29, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = 3*p - 18. Calculate the greatest common divisor of p and 27.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -389649*f*v**3 - 2*f*v - 6*f + 39*v**3 - 169474*v - 4 wrt v.\nAnswer: -2337894*f*v + 234*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -3357392521 take away -12508?\nAnswer: -3357380013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -6*y - 20. Is p(-6) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:25 AM and 9:42 PM?\nAnswer: 617","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2.609 - -32.609. What is the fourth biggest value in 2\/21, 0, -2, r?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*l = -11*l - 92. Which is the third smallest value? (a) 1\/4 (b) -5 (c) 1\/3 (d) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 217, 1521, 4899, 11335, 21813, 37317, 58831?\nAnswer: 87339","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 565, 576, 603, 652, 729, 840, 991, 1188?\nAnswer: 1437","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4491\/13250 + 211\/125. Let d = m - -8\/53. Let p = -2.8 + -0.2. What is the nearest to -3 in p, 0.3, d?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.1159991188 + -0.116. What is q rounded to six decimal places?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 3 d when four letters picked without replacement from dyyddddydy.\nAnswer: 8\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1220100 + -12?\nAnswer: 1220011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 21384610187 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d = 5*y, -y - 6 = 3*d + 4*y for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 0 + 5 - 3 + 9 - 2 + (-3 + 0 + 1)*(-2 + 6 - 2) + 0 + 5 - 4 + 1 + 2 - 2)*((2 + 2*p - 2)*(5*p - p - 2*p) - p**2 + 13*p - 13*p)*(1 + 17 + 3).\nAnswer: 189*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.219 + 0.56. Let n = 5 - 4.2. Let t = y - n. Round t to 2 dps.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -305*w + 310*w + 15, -2*b - 7*w + 2*w - 11 = 0 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 125 + 123 + 123 + 118 - 490 + 2*s - 23*s**2.\nAnswer: -23*s**2 + 2*s - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000244759 to six decimal places.\nAnswer: -0.000024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -3 (b) -2\/9 (c) 9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t = 0, -14 + 4 = -2*q + 3*t for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (2\/4)\/(3\/186). Suppose u - g = -2*u + 5*y, u - 4*y - 15 = 0. Let l(d) = -d**3 + 6*d**2 + 9*d + 1. Let s be l(u). Solve s = 3*a - 0 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1)\/(0 - 2\/176). Suppose 0*s + 58 = s - 4*w, 0 = -2*s + w + t. Does 26 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + m - 1561 = -9*t, -4*t - 5*m = -1549. List the prime factors of t.\nAnswer: 17, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2392*x**2 - 1930*x**2 + 832*x**2.\nAnswer: -3490*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6621 is divided by 79?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6026289*w - 18 = -6026285*w - 2*o, 4*o = -66*w + 406 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -22b219 (base 15) in base 3?\nAnswer: -10010012210120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -253*a + 27 - 6 - 156*a.\nAnswer: -409*a + 21","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10110011100110010001 (base 2) to base 13.\nAnswer: 1c9ab2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 22 (base 4) in base 16?\nAnswer: a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 150.951? (a) -2 (b) -5 (c) -0.1 (d) 14\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-19 - -1) + -12 + 3 + -14 + 19?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sum -247494 and 1.\nAnswer: -247493","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 290500 and 1877750?\nAnswer: 1750","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -324.649 - 9.44\nAnswer: -334.089","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -1413441102 (base 5) in base 13?\nAnswer: -9acca8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0067548 to four dps.\nAnswer: 0.0068","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 467*n**3 - 4*n**2 + 2*n + 2. Let f(y) = -935*y**3 + 9*y**2 - 5*y - 5. Give 2*f(k) + 5*x(k).\nAnswer: 465*k**3 - 2*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 6738040343 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 28294421 >= 28294421?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:22 AM and 5:23 PM?\nAnswer: 481","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 2759, 2751, 2743?\n\"Answer: -8*v + 2767","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*s**4 + 39*s**3 + 165*s**2 + 225*s.\nAnswer: 3*s*(s + 3)*(s + 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 188*i**2 + 1473*i - 210. What is d(-8)?\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*r**2 + 29*r**2 - 9*r**2.\nAnswer: 2*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 28869?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -45*y**3 + 166*y**3 - 45*y**3 - 9*y**2 - 6 - 43*y**3 - 38*y**3 to the form a*y**3 + c + b*y + j*y**2 and give c.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.5018 and 132141672?\nAnswer: 132141671.4982","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.1, -0.5, -43\/2, -2\/3, 0.4, 1\/4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-84)\/24*(-10)\/7. Let n(w) = 1 - 8*w + 23*w - i - 6*w + 5. What is n(-1)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1272572*v**3*y - v**3 - 17*v**2*y + 85661*v**2 wrt v?\nAnswer: -7635432*y - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -623 + 1211. Let t = s - 228. Suppose f + t = 5*f. List the prime factors of f.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 0*i = -5*c, -4*i - 5*c = 0. Suppose i*b = -b - 1. Let o = -7\/60 + -1\/12. Which is smaller: b or o?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -7*s**2 - 4*s + 2. Let r(d) = -1. Let g(t) = p(t) + 2*r(t). Let w(i) = 6*i. Calculate g(w(o)).\nAnswer: -252*o**2 - 24*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 130569 to the power of 1\/2, to the nearest integer?\nAnswer: 361","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 32, -25, -126, -277, -484, -753, -1090, -1501?\nAnswer: -1992","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 25 by -6269.\nAnswer: -25\/6269","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -13849 + 13852. Let z(m) = 3*m + 1. Let j(n) = -n - 1. Let l(p) = -9*j(p) - 4*z(p). What is l(y)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1085 divide 29434793?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 2*i**2. Let y(p) = -108*p**2 - 2*p. What is q(y(g))?\nAnswer: 23328*g**4 + 864*g**3 + 8*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 1.7 - 34714857.8374\nAnswer: -34714856.1374","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*o = -1101 + 1969 for o.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 25371?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (0\/(-280))\/(-5 - -1). Sort q, -1, 1333 in increasing order.\nAnswer: -1, q, 1333","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27527064577 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l**3 + 13*l**2 - 11*l - 18. Let c be v(12). Let w(s) be the third derivative of s**6\/120 + 7*s**5\/60 + s**4\/3 + 4*s**3\/3 + 5*s**2. Calculate w(c).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + ((sqrt(637) - (-4 + sqrt(637))*5) + sqrt(637)*5*-2)**2.\nAnswer: -3920*sqrt(13) + 125251","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**4 - 34*g**3 + 300*g**2 - 792*g.\nAnswer: g*(g - 22)*(g - 6)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 315, 622, 929?\n\"Answer: 307*q + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 99983758?\nAnswer: 2, 7, 47, 53, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6 - -10. Suppose -3*u + q = l, -7 - 3 = 5*q. Does 23 divide u\/10*(-117 - -2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13238, -9, 5, -2\/5, -6, 0.\nAnswer: -13238, -9, -6, -2\/5, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, 5, -1, 1.\nAnswer: -8, -1, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 4*b - 465 = 0. Let j = 159 + b. Suppose 2*y + j = 4*y. Find the common denominator of -43\/2 and y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -p - 6. Let b be v(-11). What is the derivative of -b - o**4 + 3*o**4 + 7 wrt o?\nAnswer: 8*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 10 in -16, -2, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 44451*c**2 - 16 + 47400*c**2 + 19236*c**2 + 8*c - 22963*c**2. Let o be b(4). Round o to the nearest one hundred thousand.\nAnswer: 1400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 59, -2, 7, -4, 5, 169 in decreasing order.\nAnswer: 169, 59, 7, 5, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1075.\nAnswer: 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18143 is divided by 42?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f - h = -3*f + 14, -3*f = -5*h - 5 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4981 - -4996. What is the remainder when 20 is divided by w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9)\/(-36)*24\/21.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ddvd when four letters picked without replacement from {v: 3, d: 7, l: 4}?\nAnswer: 15\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2 + 552?\nAnswer: 550","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -349 - -351. Let d(x) be the second derivative of 0*x**q - 2*x - 1\/210*x**7 - 1\/30*x**4 + 1\/75*x**6 + 0 + 0*x**5 + 1\/30*x**3. Factor d(j).\nAnswer: -j*(j - 1)**3*(j + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -2403*h. Let g(t) = -85*t**2 - 8*t. Let y(m) = 53*m**2 + 5*m. Let r(i) = 5*g(i) + 8*y(i). Give r(u(k)).\nAnswer: -5774409*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -187 - -403. What is the tens digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2090472.\nAnswer: 2, 3, 87103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -3*h**2 - 70*h + 3. Let k be a(-23). Let c be 98\/34 + k\/221. Solve q = 3*j - 0 + c, q - 3 = 0 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -149 - -148. List the prime factors of -3*((-595)\/(-20))\/g*4.\nAnswer: 3, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.001334702 to six dps.\nAnswer: 0.001335","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2642, -9511, -20966, -37007, -57634, -82847?\nAnswer: -112646","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -2*c. Let n(j) be the first derivative of 541*j**3\/3 + 3*j**2\/2 + 7346. Calculate g(n(u)).\nAnswer: -1082*u**2 - 6*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -77 divided by 451000?\nAnswer: -7\/41000","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 28*i - 6*i**3 - 4*i**2 - 38*i + 26*i + 5*i**2 as h + x*i**3 + w*i**2 + z*i and give z.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.44 + 1.04. Let h = -861998 - -861998.5999976. Let o = m - h. Round o to six decimal places.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = i**3 + 13*i**2 - 13*i + 16. Let f be u(-14). Solve -o + f = o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -d. Let x(v) = 2*v**3 - v**2 - 5*v. Let z(j) = -6*j**2 - 42*j - 5. Let m be z(-7). Calculate m*i(p) + x(p).\nAnswer: 2*p**3 - p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 55\/8 and 139*(-5)\/(-60) + 1?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -216*v**2 + 25831985*v - 103*v**2 - 25831986*v.\nAnswer: -319*v**2 - v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2 + 4 + -4502 + -5. Let o = 12001 + t. What is o rounded to the nearest 10000?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 108023 or 149?\nAnswer: 149","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 116*k - 213*k + 100*k.\nAnswer: 3*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = 145*l - 149*l + 25866, 5*a + 2*l = 64705. List the prime factors of a.\nAnswer: 7, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2*10)\/(3975\/318)?\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-8))\/(8\/(256\/10)).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (15215\/8055*(-21)\/(-17))\/((-21)\/90).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -98*n + 626. Determine a(5).\nAnswer: 136","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4 + 1. Let i = -2.9 - y. Suppose 0 = -8*f + 3*f + 3*o + 25, -4*f + o = -20. Which is the closest to i? (a) -0.4 (b) 2\/7 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 6*u**3 - 3*u**2 + 2*u. Let f be t(2). Let o = f - 43. Is o >= -7\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 174579145 to the nearest integer?\nAnswer: 13213","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*p**3 + 1328*p**2 - 52202*p - 229928.\nAnswer: 2*(p - 41)*(p + 4)*(p + 701)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 29033 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 340172 less than -5?\nAnswer: -340177","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 215*o - 210*o - 10 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2.26*199808.\nAnswer: 451566.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.3 (b) -4 (c) 5 (d) 7.3 (e) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t + 5*l = 15, 16 + 113 = 40*t - 3*t + 3*l for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 8187269*l**2*r**2 - 9*l**2 + 5*l*r + 33055 wrt r?\nAnswer: 16374538*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 987?\nAnswer: 3, 7, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1039 - 1038.8. Let t = 6 + -1. Let k = -5.5 + t. Sort 2\/7, z, k, 5 in decreasing order.\nAnswer: 5, 2\/7, z, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000149048 to seven decimal places.\nAnswer: -0.0000149","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide 2112789?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 428522.\nAnswer: 2, 167, 1283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (108\/112 - 1) + 2\/(-8).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4105*w**2 - 10896*w**3 + 12620*w**3 - 1229*w**2 wrt w.\nAnswer: 10344","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1528670?\nAnswer: 2, 5, 11, 13, 1069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(((-1)\/(-2))\/((-16)\/(-8))).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 96.654km in micrometers?\nAnswer: 96654000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = 5*c - 114. What are the prime factors of c?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ht when two letters picked without replacement from {r: 1, t: 1, p: 6, h: 1}.\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -113*w + 208 = -61*w. Let j(o) = -3*o**2 - 3*o + 10. Determine j(w).\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(-3) + (-4182)\/(-16974)\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4.99 - -5. Let g = d - 0.05. Round g to one decimal place.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12156 is divided by 152?\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10755*j + 48701 = 276488 + 288453 for j.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(6*(sqrt(119) + sqrt(119)*-2)*5)\/(((sqrt(21) - (sqrt(252)\/sqrt(6))\/sqrt(2)) + sqrt(21))\/sqrt(3)))**2 + -1.\nAnswer: 61199","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -z**2 - z - 42. Find the common denominator of -67\/2 and b(0).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -572999*l**6 + l**5 + 36463046*l**2 wrt l.\nAnswer: -68759880*l**3 + 60*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 2*j - 15 = 0, -3*h + j = 2*j + 18. Is 2*(3 + h + 475\/2) a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + 93097120818?\nAnswer: 93097120823","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 625 minutes before 5:21 PM?\nAnswer: 6:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h = -3*n - 6, -5*h - 17 = -n - 47 for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:53 PM and 5:31 AM?\nAnswer: 398","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*z**3 - 41 + 74 + 6*z**2 - 35 + 4*z**3 + z**3 to i*z**3 + s*z + d + a*z**2 and give a.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4\/(-4) - (-1 - 5). Suppose f - 6 - 2 = -a*p, 0 = 3*f + 4*p - 13. Suppose -f*w + 2*w + g = -69, g = -4. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 55600187 to the power of 1\/4, to the nearest integer?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Let z be ((5\/6)\/(-5))\/(236\/(-7080)). What is the closest to 3 in z, 0.03, -3\/7, 0.4?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 3*v - n = -17, 30 = 5*v + 3*n. Suppose 2 = -4*c + 4*j + 22, 0 = v*c + j - 7. Let q be -2 + 12\/14*c. What is the smallest value in -0.4, q, 3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6\/5 in -1\/6, 118, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 636 minutes before 5:04 AM?\nAnswer: 6:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.16415 - -3.16415. Sort z, 0.1, -0.89, 4.\nAnswer: -0.89, 0.1, z, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 462 minutes before 9:22 PM?\nAnswer: 1:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 133 - 133.16. Let s be (-1 + 1)\/(9\/(45\/10)). Which is the nearest to s? (a) -0.4 (b) 4 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 290789808?\nAnswer: 2, 3, 37, 163733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = 4*p - 0 + 8, -3*p = 4*z + 8. Let h(s) = -s**2. Let g be h(p). Let l(v) = -3*v - 9. Let k be l(g). Does -8 = k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1735*o**3 - 2*o**2 - 7399*o + 2?\nAnswer: -10410*o - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*n = -5234535 - 34835890. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 3 = 5. Does 13 divide -3*d*(-544)\/24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 71 in 2.51, -68\/11, -2\/5?\nAnswer: 2.51","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7284975.\nAnswer: 3, 5, 137, 709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -680*k - 93618 = -722*k. Is 131 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let r be 18\/4 - 1\/(-2). Suppose i + 8 = r*i. Let g = 3 + -3. Solve w + g = -i for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the third derivative of 1\/8*u**4 + 0*u + 0 - 2\/3*u**3 - 28*u**2. Calculate c(-5).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 4*f = -1334, 5*w = w + 4*f + 2644. Suppose 25 = 4*o - w. What is the hundreds digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 672 and 11334?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(208) + (sqrt(39)\/sqrt(3)*-5)**2.\nAnswer: 4*sqrt(13) + 325","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 131 + 5*f - 8*f**2 - 60 + 37*f**3 - 69 - 30*f**3. Let s(y) = 8*y**3 - 9*y**2 + 6*y + 2. Calculate -7*n(q) + 6*s(q).\nAnswer: -q**3 + 2*q**2 + q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 64677 greater than or equal to 64679?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 55\/69 + -3\/23. Which is the nearest to -2? (a) 5 (b) 93 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**4 + 12*b**3 + 22*b**2 - 84*b + 49.\nAnswer: (b - 1)**2*(b + 7)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 97\/41112 and 93\/2296?\nAnswer: 11799144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 20001012 (base 3) to base 8\nAnswer: 10466","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 56\/17085 and -32\/51?\nAnswer: 17085","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-2\/3))**(3\/37)*(c*c**3)\/c*(c*c*(c**8\/c)\/c*c)\/c)\/((c\/(c\/c**(2\/5)))**(-39)*(c\/(c\/c**(-1\/4)))**5) assuming c is positive.\nAnswer: c**(20569\/740)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -23.9464 - 0.0498. Let v = w + 24. What is v rounded to 3 dps?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -46 and 0.063.\nAnswer: -45.937","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7 - 7.4. What is the closest to 1 in -4, i, 5?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 6 + (-64)\/10 + 16\/(-30). Is y at most -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 102 and 1802?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -187\/6 + 31. Let v = 2.9 + -3. Let s = v + 0. What is the closest to s in -3, 2\/9, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 39 and 18.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**12\/(x*x\/((x\/(x\/(x**(-11\/4)\/x))*x)\/x))*x\/(x*x**(-18))*x\/(x**27\/x)*x assuming x is positive.\nAnswer: x**(1\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand 14*q**4 - 31*q**4 + 16*q**4 + (-q + q + q)*(-3*q**3 - q**3 + 2*q**3).\nAnswer: -3*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, 2\/19, -353 in decreasing order.\nAnswer: 6, 2\/19, -353","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 292867 to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/5 (b) 32 (c) -1\/4 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*a**2\/5 - 5676*a\/5 + 2684748\/5.\nAnswer: 3*(a - 946)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3\/8, 3079, -4\/7?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 102918531?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 6 = -3*s + 8*n, -21 = -4*s - 3*n. Let v = 167\/7 - 24. What is the smallest value in s, v, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -11 and -351081937.23.\nAnswer: -351081948.23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -4236*o. Let a(j) = 2*j - 1817. Determine a(z(p)).\nAnswer: -8472*p - 1817","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -116, -230, -328, -404, -452, -466, -440, -368?\nAnswer: -244","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 54941718067 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, 1\/7, 179 in ascending order.\nAnswer: -9, 1\/7, 179","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 2*z + 3. Let k(q) = 4*q - 1. Let n(p) = -2*p + 1. Let t(u) = -3*k(u) - 5*n(u). Let f(r) = -2*i(r) - 3*t(r). Let a(w) = -6*w**2. What is f(a(l))?\nAnswer: -12*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.0227*4.1509.\nAnswer: -0.09422543","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-5)\/(-2)*(-36)\/(-10). Solve -2*h + c = 3 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12829 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 10*z**3 - 807*z**4 + 81*z**2 + 2570*z**2 - 125*z**4 - 12*z**3 wrt z.\nAnswer: -22368*z - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 480*k + 2200*k - 882*k - 400*k + 2060*k.\nAnswer: 3458*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 460 and 69.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10639916.\nAnswer: 2, 7, 379997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/19? (a) -6 (b) 0.601 (c) 107 (d) 0.1 (e) -0.1 (f) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -41336a (base 11) to base 13\nAnswer: -1a2b94","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 3.02 * -56\nAnswer: -169.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -196 divided by -5.\nAnswer: 196\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 3*y**2 - y. Let u be d(-4). Let g = -3 + u. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gccc when four letters picked without replacement from {g: 6, c: 7, t: 4}?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = 12, -2*j = -x + 3*j + 719. Suppose -5*v = -v - x. Let a be ((-4)\/(0 + 2))\/((-8)\/v). Calculate the greatest common factor of 11 and a.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -471830 (base 11) to base 14\nAnswer: -156d79","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3.758 + 0.242. What is the second smallest value in y, -22\/5, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1.1 + -2.9. Let v = 14244 + -28487\/2. What is the closest to -1 in v, l, 2\/29?\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(78) + (sqrt(78) - -2*sqrt(78)) - sqrt(78))*2 + -1*3*sqrt(78))\/(sqrt(726)*4 - -6*(sqrt(6) + sqrt(48)\/sqrt(8))).\nAnswer: 3*sqrt(13)\/56","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 + 6)\/((-165)\/22)?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 33287 + -33283. Let h = 23.4 + -23. Let a = 8\/7 + -54\/35. What is the smallest value in h, -1, a, i?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -c. Let q(y) = 15429339*y + 1. Give n(q(g)).\nAnswer: -15429339*g - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3577734 is divided by 377.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the first derivative of -2*m - 2\/3*m**3 + 10 - 1\/2*m**4 - 2*m**2. Give z(-2).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -57 + 57. Let p(r) = -5*r**2 + r + 30. Let h be p(j). Is 29 > h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*j + 40 = 4*j + 4*w, j - 3*w + 6 = 0. Let o be ((-32)\/j)\/(2\/6). Solve -4 = 3*k + 3*i + i, k = -3*i - o for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-392)\/(-35) + 17\/(-85). Suppose -3*l = -5*j - 2*l + 13, 5*j = -4*l + 23. Solve -r = j*y - 2 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 9*s**2. Let g(b) be the second derivative of -40*b**3\/3 + b**2 - 3049*b. Determine g(f(k)).\nAnswer: -720*k**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -37 + 42. Solve 0 = -s + 6*s + a for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -25545081\/47 at least -543512?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -215520 divided by -10?\nAnswer: 21552","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by -11372?\nAnswer: -1\/5686","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 8\/227669 and -9\/23738.\nAnswer: 5008718","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 22*z**2 - 54*z + 2. Let g(i) = -139*i**2 + 95*i + 69*i**2 - 11 + 4 + 68*i. Let h(l) = 7*a(l) + 2*g(l). Find the second derivative of h(p) wrt p.\nAnswer: 28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-17)\/((-204)\/96) + (1 - 10).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -r**2 - 2*r + 6. Determine a(-6).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7 + 6 + 6184258*i + 1 - 6184271*i.\nAnswer: -13*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 13402*b**3*c**2 - 1879*b**3 - 788*b**2*c**3 - 46527*b**2*c wrt c?\nAnswer: 26804*b**3 - 4728*b**2*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 866*o**2 - 4*o + 40 wrt o?\nAnswer: 1732","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2893207534.\nAnswer: 2, 7, 67, 3084443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 16, 11, 50, 5 in descending order.\nAnswer: 50, 16, 11, 5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3 and -355.8.\nAnswer: 1067.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5911 and 2313?\nAnswer: 257","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 30 + -21. What is the remainder when u is divided by 7?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -176, -517, -1024, -1697, -2536, -3541, -4712?\nAnswer: -6049","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -a**3 - 19*a**2 - 151*a - 2363. Is q(-35) a multiple of 122?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.05 (b) 5 (c) 8 (d) -474323\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 85.1069g in micrograms?\nAnswer: 85106900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 6 - 16*q**2 + 182*q**2 - 82*q + 37*q + 40*q. List the prime factors of u(1).\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5028390?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*r + 82 = 4*r - 5*n, r = 4*n - 31. Does 13 divide 191444\/437 - (-2)\/r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -2 - -2 - 9\/(-9). Let v(o) = 20*o - 8. Let s be v(t). Calculate the highest common factor of 108 and s.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5825.74 rounded to the nearest one hundred?\nAnswer: 5800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -111*l + 92*l + 228. Let b be l\/(-16) - 285\/(-12). Solve b*f - 12 = 19*f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2797.336959 - 2827.3369. Let d = -30.026 - -0.026. Let m = a - d. Round m to five decimal places.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 10990 - 12281 = -3*a, 4*q - 31028 = -4*a. What is the hundreds digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 120, 233, 570, 1245, 2372, 4065?\n\"Answer: 19*y**3 - 2*y**2 - 14*y + 117","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in v**2 - 14*v + 22*v**2 - 29*v**2 + 5*v**2 - 3*v.\nAnswer: -v**2 - 17*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 54215?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 1512967 divided by 397\nAnswer: 3811","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -56160731\/14457437 + 1682\/433. Let t = 3372273\/534224 - q. Let y = -3847\/140 - 3\/140. Calculate the common denominator of t and y.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 28.043 to 1 dp.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 626566 - 490601108\/783. What is the common denominator of h and -5\/232?\nAnswer: 6264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) be the third derivative of 0 - 7\/15*c**6 + 49\/15*c**5 + 2\/105*c**7 + 0*c**3 + 0*c + 0*c**4 - 2*c**2. Factor v(b).\nAnswer: 4*b**2*(b - 7)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 134892362 to the nearest integer?\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -53f6c1 - -19?\nAnswer: -53f6a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*f - 45 + 30 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -d. Let t be p(-3). Let q be (t\/(-4))\/((-27)\/72*1). Solve 3*m = 9, 0 = -q*z - 2*m + 4*m - 12 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4 - -9. Let z(n) = -n**3 + 5*n**2 + 4*n. Calculate the lowest common multiple of z(o) and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2120212011 - 111?\nAnswer: -2120212122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 43 (base 16) in base 5?\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5*l + l**2 - 14*l + l - 13 + 2*l with respect to l.\nAnswer: 2*l - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = m + 53. Does 24 divide d(-17)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in 0.4, 4, -0.3, 3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 477 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -31\/440 and -161\/156960.\nAnswer: 1726560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:37 AM and 8:31 PM?\nAnswer: 714","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -4*o - 0. Suppose 3*s = -4*m + 31, -5 + 35 = 2*s + 5*m. Sort -4, s, o in increasing order.\nAnswer: -4, o, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 879921?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence apa when three letters picked without replacement from falyauplylyaypu.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -2\/9, 1\/2, -7, -1\/8?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/(-36) - (-9 + (-3 - 88\/(-9))) - -42.\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 21645*y - 281390. What is a(13)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 986613, 986608, 986599, 986586?\nAnswer: 986569","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 291 is divided by 96?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 59 = -3*q - 14, o - 6 = -5*q. What is the remainder when (468\/(-81))\/(2\/o) is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -8220, -7868, -7480, -7038, -6524, -5920, -5208, -4370?\n\"Answer: 3*r**3 + 331*r - 8554","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1\/24 of a week?\nAnswer: 25200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -3*v + 10. Let a(r) = -13*r + 41. Determine -2*a(c) + 9*d(c).\nAnswer: -c + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4\/7 in 2, 1\/4606, -19?\nAnswer: 1\/4606","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Divide 171136 by -2.\nAnswer: -85568","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/81, -56, 1.31?\nAnswer: -56","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.03 - -0.33. Let z = -0.4 + 1.4. Let l = -0.2 - 0.3. What is the third biggest value in z, l, r?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 805900873 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: What is 2.203 plus 11067?\nAnswer: 11069.203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 7*k = 6. Suppose -f + 5*o + 5 = -2*f, k*o = -4*f - 2. Suppose f = -3*b + b + 92. What is the tens digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 5*o**3 - 35*o**2 + 8*o. Let x(n) = 12*n**3 - 70*n**2 + 20*n. What is -5*j(f) + 2*x(f)?\nAnswer: -f**3 + 35*f**2","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Is 97477223 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 8417*j**3*u**2 + j**3 - 2460*j + u**2 with respect to u.\nAnswer: 16834*j**3*u + 2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.08 (b) -0.4 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(560)\/(sqrt(10)*-3))\/(sqrt(48)\/(sqrt(66)\/sqrt(11))) + 5.\nAnswer: -sqrt(7)\/3 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 679199.6801 to the nearest 10000.\nAnswer: 680000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 21\/12 - 1 - (-3970)\/8. Suppose 14*m = 301 + n. Calculate the smallest common multiple of 9 and m.\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 924\/616*2*36\/(-2).\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -6 (b) 1 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-40)\/(-8))\/(-5)*(-1)\/1?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*h + 72390 = 4*h. Let j = h + 18886. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*h**4 - 3*h**2 + h**2 - h + 3*h**2)*(358 + 12 - 76)*(-6 + 2 + 3).\nAnswer: -588*h**4 - 294*h**2 + 294*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -116 + 116. What is the biggest value in s, 0.2, -3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1*(4 + 6\/6)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 43 divide 1123094228?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -444*c + 102*c - 462*c + 183*c - 8073 for c.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 3*n + 24 - 12 = 0, n = 2*a + 4. Solve -4*d = 2*m, a*m + 3*d = -5*m - 7 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -580364 (base 11) in base 4?\nAnswer: -3201103000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 239?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 360619 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*t**4 + 18065*t**2 + 1135326*t wrt t?\nAnswer: -24*t**2 + 36130","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-15)\/(-11) + (-4728)\/(-130020)?\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 146 or 148?\nAnswer: 146","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 34 divided by 17?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -15.421 or 2?\nAnswer: -15.421","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -0.196, 3\/7 in increasing order.\nAnswer: -4, -0.196, 3\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 112069 <= 112071?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-21)\/((-168)\/4))\/((-3 - -6)\/(-54))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 2, h: 7, i: 10, o: 1}. What is prob of picking 1 h and 2 i?\nAnswer: 21\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4*12\/1368)\/(1\/3).\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*n - 3*n + 5*n)*(-122 + 70*n + 122) - 1 - n**2 + 1.\nAnswer: -71*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -l**2 + l + 10. Let b be r(0). Suppose 0 = 2*i - 0*i - b. Suppose 6*g = 4*g. Solve 5*x + g + i = 0 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 686240, 1372305, 2058368, 2744429, 3430488?\nAnswer: 4116545","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 10) to base 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2391658 to the nearest integer?\nAnswer: 1546","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000055021 to 6 decimal places.\nAnswer: 0.000055","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -446607*a + 4019466. Give l(9).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -8328 rounded to the nearest 100?\nAnswer: -8300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 3438275 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -40836 by -1.\nAnswer: 40836","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 40292563 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 23.88823 hours in nanoseconds?\nAnswer: 85997628000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -351*t - 149. Let u(v) = 210*v + 74. Let d(y) = -3*p(y) - 5*u(y). Let j(z) = 2*z + 38. Determine 4*d(b) - 7*j(b).\nAnswer: -2*b + 42","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0 + 5. Suppose 3*u + 0*u = -4*n + 36, -20 = i*u. List the prime factors of n.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -675473\/141 - -14377\/3. Let t = a + 853\/1316. Calculate the common denominator of t and -79\/40.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51 = 5*b - 3*m, -37*m = 3*b - 32*m - 17. Let q(v) = 3*v**2 - 8*v + 7. Let d(w) = 13*w**2 - 31*w + 28. Let s(z) = -2*d(z) + 9*q(z). Determine s(b).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 152851640 divided by 76425820.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-12)*2*117\/52.\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -8 - -8.8. Let x = d + -0.3. Let m = -3.21 - 1.79. What is the third smallest value in x, m, -3?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*v**2 - 2*v**2 - 9*v**2 - 6*v**2 + 27*v**2.\nAnswer: -2*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -168*b**3 + 147*b**2 wrt b?\nAnswer: -1008","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 320 minutes before 9:09 PM?\nAnswer: 3:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 9225*b + 55365. Calculate z(-6).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36674*m + 67827*m - 31137*m.\nAnswer: 16*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -104, 16, -2, 2.\nAnswer: -104, -2, 2, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 482 minutes before 1:13 AM?\nAnswer: 5:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(72)*1*2)**2*-3.\nAnswer: -13824","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*z + 147838 - 147250 = 0 for z.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*f + 135 = -5. Let l(k) = -k**2 - 14*k - 10. Give l(f).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 1333430320, 1333430322, 1333430324, 1333430326?\n\"Answer: 2*l + 1333430318","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 2*n - 0. Which is bigger: n or -2\/11?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46*g - 16*g - 17*g = 156 for g.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2 (b) -0.04 (c) 0.2 (d) 0.247\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -14193 or -14194?\nAnswer: -14194","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 63 divide 417060?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -65*m**3 - 2678*m**2 + 726163*m?\nAnswer: -390*m - 5356","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lbm when three letters picked without replacement from clbbmzp?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/1*-10*2914\/470*51\/5797.\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 28 and 3626.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) be the second derivative of -1\/6*j**3 + 0*j**4 + 0 + 1\/20*j**5 + 1\/2*j**2 - 7*j. Calculate h(1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1049*o + 1059*o = 110 for o.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 66362033 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 516 + -516.4. Which is the second biggest value? (a) h (b) -24 (c) 3\/5 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-5)\/((-20)\/(-4)))\/1. Let h be (d + 5)*(-2 - (-9)\/(-4)). Which is greater: -20 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3092)\/(-32466)*189\/96.\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 845.7512 years in millennia?\nAnswer: 0.8457512","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 561.77 rounded to the nearest 10?\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h**2 - 4*h + 517. Let a be i(0). Suppose 8*r - 1973 = -a. Let g = r + -27. List the prime factors of g.\nAnswer: 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 132 (base 4) to base 7.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -144*d**3. Let s(m) = -13*m**3. Let f = -334 - -278. Determine f*s(b) + 5*u(b).\nAnswer: 8*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 8*n**3 + 4. Suppose m - 5*m - 1 = s, 3*m - 24 = -3*s. Let h(p) = 25*p**3 + 13. Let j(l) = s*k(l) - 4*h(l). Differentiate j(q) with respect to q.\nAnswer: -36*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2.39*-1050416.\nAnswer: -2510494.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 702301 - -4?\nAnswer: 702305","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 6*t**4 + 6*t**2 - 14*t - 564 wrt t?\nAnswer: 24*t**3 + 12*t - 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = 13724 + 147696. List the prime factors of 6\/27 + (r\/45)\/2.\nAnswer: 3, 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 1\/5 (b) 2 (c) 11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-19725)\/(-35) + (2 - 33\/21). Suppose 46*z + i = 50*z. List the prime factors of z.\nAnswer: 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17372 to the power of 1\/4, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 11) in base 15?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -582*l**2 - 38*l - 14. Let r(n) = 1162*n**2 + 78*n + 29. Let x(a) = 7*q(a) + 3*r(a). What is the second derivative of x(g) wrt g?\nAnswer: -1176","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -685*c + 4. Let w be d(1). Let k = -987 - w. Let l = -181 - k. What are the prime factors of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*d - 116*b = 20*d + 5238 - 27, -5*d - b - 30 = 0 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 584 minutes after 12:42 PM?\nAnswer: 10:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 3*v**3 - 4*v**2 + 2*v - 4. Let p be l(2). What are the prime factors of (4\/3 - p\/(-12))*126?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5.32*-0.34.\nAnswer: 1.8088","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (5387 - 1799 + 3283)*(0*q + 0*q + 2*q**3) in the form v*q**2 + b*q**3 + g*q + o and give b.\nAnswer: 13742","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -18 - -15. Let q = 0.8 + -0.8. Let v = g + q. Which is the closest to 1? (a) v (b) 0.1 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -471 + 487. Put 0, x, 5 in increasing order.\nAnswer: 0, 5, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 9685.3365 and -2.\nAnswer: -19370.673","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 78*h**2 + 2*h - 3. What is the tens digit of z(1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1539)*3*-3)**2.\nAnswer: 124659","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*y - 5*y + 2*y)*(4*y + 0 + 0) + 3 - 3*y**2 + 15*y**2 - 10*y**2 as l*y**2 + f*y + a and give a.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -723 - -723.1. Is y less than -1\/28?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -66790, -67822, -68854, -69886?\nAnswer: -70918","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1335 (base 6) in base 13?\nAnswer: 209","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -21*n**3 - n**2. Let d = 21 + -24. Let u = d + 13. What is the lowest common multiple of u and q(-1)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -78125642 or -78125635?\nAnswer: -78125635","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 b when two letters picked without replacement from mbr?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*p - 2*a - 106, 3*p - 4*a + 9 = -43. Let u = -20 - p. Is u + -2 + (-15316)\/(-4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rn when two letters picked without replacement from {f: 3, n: 5, y: 6, o: 3, h: 1, r: 2}?\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*sqrt(700)*1 + (-2 + sqrt(700) + -3)**2.\nAnswer: -120*sqrt(7) + 725","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1\/6 + 129\/90. Let m = -24671.8 + 24672. Sort m, 0.5, u in increasing order.\nAnswer: m, 0.5, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-1323)\/(-36) - -1*1\/4 is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -141281*g - 125277*g - 225075*g - 324467*g.\nAnswer: -816100*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*g + 11*g + 2*g)*(-4*g + 3*g + 0*g) - 4*g**2 + 0*g**2 + 5*g**2 + 13*g**2 - 6*g**2 + 22*g**2.\nAnswer: 20*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 282 - 268. Suppose -25*x + h*x = -1848. Is x a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m - 23 = -41 for m.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + (-10 - -3) + 9.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -81\/4*a**5 - 417\/2*a**2 + 135\/4*a**3 - 54 + 81*a**4 - 207*a = 0. What is a?\nAnswer: -2\/3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = -5*n - 93, 0 = n - 24 + 21. Let h(g) = g**2 + 18*g - 237. Calculate h(b).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -74 (b) 4 (c) -515 (d) -32\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*x + 3*x - 4. Let u(v) = -4*v**2. Let h(s) = -s**2. Suppose 0 = 5*i - 4*p - 0 + 50, 3*i + 2*p + 52 = 0. What is i*h(c) + x*u(c)?\nAnswer: -2*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-4*sqrt(8)*-2)\/(sqrt(16)*4)*4*-3.\nAnswer: 24*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 752153 is divided by 150426.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 2*y**2 + 16*y - 836. Let n be c(17). Let x = 2 - 7\/4. Put -1, n, 0.2, x in increasing order.\nAnswer: -1, 0.2, x, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g + 46 = -32*l, 3*l + 15*g = 5*l + 17*g + 16 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/5 - (-1755)\/5400\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in i - 534*i**3 - i + 701*i**3.\nAnswer: 167*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -17 - -33. What is the first derivative of -5*a**2 - 16*a - 2 + v*a wrt a?\nAnswer: -10*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = r**2 + 9*r + 15. Let j be c(-6). What is the closest to -2\/5 in -7, 2, j?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bybykkbbbbvkvd. Give prob of sequence yvk.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*o - 59 - 256. Let t = -58 + 32. Let h be t\/(-5) - (-1)\/(-5). What is the highest common factor of o and h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6146 and 98.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 3*r**3 + 2*r**3 + 4*r + 6 + r**3 - 7*r**2 - 5*r**3. What is d(6)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (sqrt(3)*1 + 2)**2 - (sqrt(48) + 4 - sqrt(33)\/(sqrt(44)\/sqrt(4)))**2) + 5.\nAnswer: -20*sqrt(3) - 29","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/9, 0.4, -23, -0.1, 122.\nAnswer: -23, -0.1, 2\/9, 0.4, 122","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 808 is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 611754?\nAnswer: 2, 3, 11, 13, 23, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -19*r - 432. What is the remainder when 140 is divided by m(-24)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4080)\/(-54))\/10 - (2 - (6 - 0)*-1)?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 542 (base 16) to base 11\nAnswer: 1014","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2132015936 to the power of 1\/2, to the nearest integer?\nAnswer: 46174","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34 = -i - 4*q, 4*i - 37 = i + q. Let a(w) = w**2 - 9*w + 10. Let m be a(8). Suppose -2*j = u + j, 5*j + m = -u. Solve 0 = -u*g + 2 - i for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -41 - -36.6. Let m = r - -4. What is the closest to 3\/2 in 5, -5, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -59\/96144 and 57\/8.\nAnswer: 96144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -2*z - 5. Let w(b) = -b**3 - 3*b**2 - b. Let q be w(z). Let p be 2 - 0 - (-28 + q). Solve 0 = -c - c + 5*a - 17, 3*c - p = -4*a for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 26\/753 and -22\/27?\nAnswer: 6777","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 0.056 times 0.1862\nAnswer: 0.0104272","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 3\/4 (b) 2\/17 (c) -2\/5 (d) -4 (e) 1 (f) 93\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 20348624611 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -105 - -101. Which is the fourth smallest value? (a) -2 (b) 0.5 (c) g (d) 4\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = -7*u + 990. List the prime factors of u.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 55283345?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tnyguugvt. Give prob of picking 1 u, 1 n, and 1 v.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Add 2 and -31.2691.\nAnswer: -29.2691","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -8600, -16752, -24050, -30068, -34380, -36560?\n\"Answer: 71*x**3 + x**2 - 8652*x - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3668 - 3657. Let z = -32 + 14. Let w be 11\/9 - (-4)\/z. What is the highest common factor of u and w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 40*o**3 + 2*o - 1 - 25*o**3 - o to the form m*o**3 + c*o**2 + s*o + d and give m.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.1 + 2.1. Let r = m + -1.9911. Round r to 3 decimal places.\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10576.\nAnswer: 2, 661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1445 and 394196.\nAnswer: 289","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 14) to base 2.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 421654 to the nearest integer?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*1 - ((-668)\/108 + 6)*12?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 190816586 divided by -5.\nAnswer: -190816586\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -60 + 133. Let y = 86.8 - x. Let f = -14 + y. Which is the closest to 2\/9? (a) f (b) 2\/9 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -200532, -200750, -200968, -201186, -201404?\nAnswer: -201622","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 3\/10 of a tonne?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -400 + 500 = 25*q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1243, 5, -1 in descending order.\nAnswer: 1243, 5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/((2\/(-1))\/10).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5)\/(50\/(-3)))\/(33\/(-44)).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -369, -116, -124, -10 in increasing order.\nAnswer: -369, -124, -116, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 48 (b) 2\/33 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 14225 + -6825. What are the prime factors of d?\nAnswer: 2, 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((4\/(-45))\/(-2))\/(28\/(-140)).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = m**2 + 2*m - 9. Let j(g) = g**2 + 7*g + 2. Let x be j(-5). What is the tens digit of q(x)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5 + (-3 + (2 + sqrt(243) - sqrt(243)) - (2 + 1 + sqrt(243))))*-3*-1)**2 + -4.\nAnswer: -162*sqrt(3) + 2192","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 144 minutes before 9:42 AM?\nAnswer: 7:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44 = 2*i - 18. Let p(j) = -7*j - 21. Let l be p(-7). Let y = l - i. Sort y, -4, 1 in increasing order.\nAnswer: -4, y, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -567*l - 2231*l - 614*l + 294*l.\nAnswer: -3118*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 20\/13? (a) -0.5 (b) 1\/12 (c) 1 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.074 from -1.099.\nAnswer: -1.025","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 to the power of 1\/3, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -68 at least as big as -89?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -49, -1, -3 in descending order.\nAnswer: -1, -3, -49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 219560 and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 120494270?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the third derivative of 7*h**6\/120 - h**5\/60 + 5*h**4\/4 - 53*h**2. Find the second derivative of u(s) wrt s.\nAnswer: 42*s - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate o**2 + 391 + 8*o - 10*o + 50*o + 51*o with respect to o.\nAnswer: 2*o + 99","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 7*u. Suppose 4*o = -5*i + 30, 2*i = -o + 6*i - 3. Let h(z) = 2*z + z - o*z. Calculate r(h(c)).\nAnswer: -14*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(6*(sqrt(605) + 4)*1 + -5 + 1))**2.\nAnswer: 10560*sqrt(5) + 88720","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4 - 17. Let w = 47 + s. Solve 0 = -2*c - 2*x + w - 14, 0 = -5*x + 25 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/v**(-4))\/(v\/(v\/(v*v**(-3)\/v*v)))*(v\/v**(-2\/5))**34)\/(v*v**0\/v*v*(v**(-3)\/v)\/v)**(-49) assuming v is positive.\nAnswer: v**(-707\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 164*m**2 - 31*m**2 - 52*m**2 - 51*m**2.\nAnswer: 30*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(9)\/sqrt(3)*3)**2*6.\nAnswer: 159","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 2 b when three letters picked without replacement from {w: 9, j: 1, r: 2, b: 7}?\nAnswer: 14\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -5 (b) 2060 (c) -1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 88724 is divided by 435?\nAnswer: 419","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 94723.38 milligrams in micrograms?\nAnswer: 94723380","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 888 and 32.\nAnswer: 3552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -2*z**3 + z**2 - z. Let a(s) = -11*s**3 + 17*s**2 + 4*s. Let w(l) = -a(l) + 6*i(l). Solve w(g) = 0 for g.\nAnswer: -10, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -62, 4653, -49 in ascending order.\nAnswer: -62, -49, 4653","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(119)\/((-2*sqrt(14) + sqrt(14))\/sqrt(2)) + sqrt(204)\/(((sqrt(132) - -4*sqrt(132)) + sqrt(132) - sqrt(132))\/sqrt(11)))**2.\nAnswer: 1632\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -h**2 - 19*h - 10. List the prime factors of w(-16).\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((2*sqrt(306)*5)\/sqrt(6))\/((sqrt(300)*1 - sqrt(300)) + (sqrt(243) - (sqrt(243) + sqrt(243) + 2*sqrt(243)))))**2.\nAnswer: 1700\/729","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 261894?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*t - 5 = -73 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.5*9555.\nAnswer: -4777.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -2, 3, -87 in descending order.\nAnswer: 3, -2, -5, -87","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k + 40 = -4*o, -5*o + 4*k = -67 + 52 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5 - 3. Suppose 2*o + 42 = 4*l, w*o = -l + 4*o + 18. Suppose 2*z + 25 = 2*r - 9, 0 = 4*r + z - 93. Calculate the remainder when r is divided by l.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h**3 - 10*h**2 + 11*h + 2. Suppose 5*y - 4 = -2*m + m, -2*y + 4 = m. Suppose -3*q = g + 17, m*g + 32 = -3*q - 18. Determine o(g).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3a94 + 3?\nAnswer: 3a97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -z**2 + 7*z - 5. Let x be l(5). Suppose -4*c = -5*v + 155, 0 = x*c - 3*c - 2*v + 76. Let u = c + 58. What is the tens digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*w**4 + 386*w**2 - 1047*w?\nAnswer: 24*w**2 + 772","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of d**5*n - 2*d**4*n - 39*d**3*n - 3*d**2*n - 3*d*n wrt d.\nAnswer: 60*d**2*n - 48*d*n - 234*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1*1\/6)\/(98\/392).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1282*c**2 + 1280*c**2 + 49*c**3 - 5*c**3)*(54 + 129 - 44).\nAnswer: 6116*c**3 - 278*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s**(-2\/13)*s**(1\/11))**29 assuming s is positive.\nAnswer: s**(3886\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4262 is divided by 31.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 4*c**2 + 2*c + 4. Let m(j) be the second derivative of j**3\/3 - 7*j**2 + 2*j. Let r be m(6). What is the tens digit of f(r)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -36442.9424 rounded to the nearest 100?\nAnswer: -36400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -4 * 31\nAnswer: -124","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 10 + (-1 - 18 - -11) + 6 + 2\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -4*q + 7. Let o(n) = 19*n - 86. Let f(g) = -5*m(g) - o(g). What is f(-17)?\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*w + 45*w + 30*w - 6*w.\nAnswer: 75*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 275160 and 559492.\nAnswer: 16784760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 4*(-7)\/(-8)*(-16)\/(-532)?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 467?\nAnswer: 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -235018974273 + 97.\nAnswer: -235018974176","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(60)\/sqrt(5) + (sqrt(3) - (sqrt(3) + sqrt(3) + (sqrt(3) + -1 - sqrt(3)) + 0))**2).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 7*n**2 + 4*n + 4. Calculate the remainder when b(-4) is divided by 2\/40*2 + (-478)\/(-20) + 2.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = 10*l + 26 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 6598983?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -i**3*w**5 - 70*i**3 - i**2*w**2 - 95*w**5 wrt w?\nAnswer: -60*i**3*w**2 - 5700*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 783533 is divided by 783469?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 996\/52 + 38\/(-247). Let o be ((-10)\/8)\/(2\/32). Let b = o + r. Is 1\/4 != b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6431?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 54 = -4*c + 49, -2*c + 4 = 0. Let g(h) = -125 + 250 + d*h**2 - 125. Let n(z) be the third derivative of -z**5\/20 + 3*z**2. Determine g(n(i)).\nAnswer: 171*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.03404 + -0.03406869. Round j to five dps.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 48077679 to the power of 1\/4, to the nearest integer?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 671*l**2 + 830*l**2 - 266*l**2.\nAnswer: 1235*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 86248 greater than 86247?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 11*a + 9. Suppose -4*z - 232 = 25*z. Calculate u(z).\nAnswer: -79","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -42\/36541439 and -8\/9965847?\nAnswer: 109624317","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -13317393.0999927 - -13317392. Let h = i - -1.1. What is h rounded to 6 decimal places?\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -77\/7430679 and 34\/345.\nAnswer: 37153395","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -131077 (base 8) in base 7?\nAnswer: -250015","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does -1337 = -1293?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 13\/4 of a litre?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 15171 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1, -2, 0.11, -4, -13, 10?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1001100110 (base 2) to base 15.\nAnswer: -2ae","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = n**3 - 10*n**2 + 11*n - 16. Let a be o(9). What is the second derivative of -18 - 168*x**a + 256*x**2 - x - 15 wrt x?\nAnswer: 176","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.2 (b) 3 (c) -5 (d) 40 (e) -3\/5 (f) 4 (g) 6507\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*v**2 - 348*v + 1008.\nAnswer: 4*(v - 84)*(v - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 137345541.\nAnswer: 3, 45781847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -40 in -0.187, 13\/4, 30?\nAnswer: -0.187","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - n = 27. Suppose 5*c - 1 = 4. What is the least common multiple of n and c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -152 divided by -5.\nAnswer: 152\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 61627 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -27508094 plus -152?\nAnswer: -27508246","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 3\/50 of a millennium?\nAnswer: 720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**1*(l\/l**(1\/3))\/l*(l**(-2\/3))**(-2\/17))\/(((l\/(l*l**(-5\/4)))\/(l\/l**(-4)))\/(l**(-5)\/l**4)) assuming l is positive.\nAnswer: l**(-919\/204)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9 - (6 - 0 - 10)) + 6 + -2 - -75.\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 minus -322.90096?\nAnswer: 323.10096","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(6*sqrt(11) + sqrt(11))*-6.\nAnswer: 168*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-43 + 43 + -3 - -104) + -1?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 4*n - 1 - 12*n + 8*n - 4*n. What is q(9)?\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -2*g**2 - g + 3. Let p(w) = w**3 + 18*w**2 + 4*w - 12. Let o(y) = 4*m(y) + p(y). Find r such that o(r) = 0.\nAnswer: -10, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(0 + sqrt(57)\/sqrt(3)))**2.\nAnswer: 475","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4.6 + -0.6. Let n = -0.4 - 2.6. Let z(s) = s + 2. Let m be z(0). What is the third smallest value in n, w, m?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 11 or 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 60*f + 150630 - 75314 - 75316.\nAnswer: 60*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -445 times -12\nAnswer: 5340","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 14012879*n**2 + 9034176*n.\nAnswer: 28025758","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-408)\/28)\/(4\/28). Is j*(2\/1 - 3) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 14? (a) 5 (b) 1\/8 (c) 2\/5 (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 312*r**5 + 19580*r**4 - 24752*r**3 + 5116*r**2 - 256*r = 0. Calculate r.\nAnswer: -64, 0, 1\/13, 1\/6, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 8\/25 of a century?\nAnswer: 384","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = o - 0*o. Let r = 62 - o. Does 15 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the first derivative of -4*s**5\/5 + 14*s**4 - 64*s**3 - 28*s**2 + 196*s + 107. Determine g, given that m(g) = 0.\nAnswer: -1, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 51746 to the nearest integer?\nAnswer: 227","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-270)\/620 - (-6)\/(-93)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*q**2 + 4497064*q + 4497060.\nAnswer: 4*(q + 1)*(q + 1124265)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 230 - 210. Are 19 and w non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000041694 to 4 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 61 divided by -216307?\nAnswer: -61\/216307","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 2557?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b\/b**(-4)*b**(4\/5)\/b)\/((b**(-2\/7)*b)\/(b*b**(1\/6)*b)) assuming b is positive.\nAnswer: b**(1523\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1592\/21 - 530\/7. Suppose -2*c + 0 = -6. Suppose 5 = -c*v - 1. What is the closest to 1 in -5, v, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22 = -6*g + 4*f, 212*g = 210*g + 2*f + 10 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) be the third derivative of -13*w**5\/60 - 2*w**4 - 12*w**3 - 164*w**2. Let h(u) = 9*u**2 + 32*u + 48. Let b(j) = -5*g(j) - 7*h(j). Factor b(f).\nAnswer: 2*(f + 2)*(f + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -7*a - 2. Suppose 2*h = 4*h + 4. Let b be n(h). Solve -c = -3*s + b, 2*c - 20 = -7*s + 2*s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = -2*u - 21. Let o = -4 + u. Let j(l) = l**3 - 6*l**2 + l - 5. Let y be j(6). Put 5, y, o in descending order.\nAnswer: 5, o, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 370, 344, 306, 250, 170, 60, -86, -274?\nAnswer: -510","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 + 1 - 2)*(2*x + 0*x + 6*x) as f*x + n and give f.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 765 - -3497?\nAnswer: 4040","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) be the second derivative of -g**7\/2520 + g**6\/120 + g**5\/30 - g**4\/2 - 8*g**3\/3 + 34*g + 3. Let p(y) be the third derivative of i(y). Determine p(7).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 38 = 2*n + l, 0 = -3*l - 15. Suppose b = 2*k - n, -72 = -5*k - 2*b + 24. Suppose 11*h - 7 = k*h. Which is greater: h or 3\/23?\nAnswer: 3\/23","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 59*g - 39318 - 44108 = 0. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 170545 (base 8) to base 3.\nAnswer: 10010202210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9866*r + 8 + 2462*r + 2456*r + 2471*r + 2457*r.\nAnswer: -20*r + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4390203.\nAnswer: 3, 131, 11171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 3*u + 3*u - 6*u + 11*u + 8*u. Let c(w) = 11*w - 2. What is x(c(f))?\nAnswer: 209*f - 38","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 6, u: 6, z: 3}. What is prob of sequence uooz?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -61*d - 196 = 37*d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -13 (b) -0.3 (c) -0.2 (d) -192\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -529.21 - -124.28. What is v rounded to the nearest one hundred?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3796 is divided by 38?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.011, 30\/7, -1\/5.\nAnswer: -1\/5, 0.011, 30\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 27\/2*(-5 + 3). Let v be 171\/k + (-1)\/(-3). Which is smaller: v or -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -4*m**2 + 2. Let w be p(2). Let z(c) = c**2 + 12*c + 4. What is the units digit of z(w)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 130469, 130455, 130441, 130427?\nAnswer: 130413","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1638995507 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.19 + 0.11. Let p = 0.4 + -1.4. Let g = -6 - p. What is the nearest to 0 in g, y, -3?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -a + 12. Let l be z(8). Let j(f) = -16*f + 3. Let h(m) = -15*m + 2. Let y(b) = l*j(b) - 5*h(b). What is the first derivative of y(t) wrt t?\nAnswer: 11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 5 - 13*h - 17*h**2 - 6 + 13*h. Calculate a(1).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -45933912*z**5 + 5*z**2 + 25715*z + 11 wrt z?\nAnswer: -2756034720*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = -d - 4*z, 0 = -4*d - 2*z. Factor -10\/3*f**4 + 14\/3*f**3 - 4\/3*f**2 + d*f + 0.\nAnswer: -2*f**2*(f - 1)*(5*f - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*w - 11*w - 3*d - 13, w - 4*d = 21. Let r(a) = 832*a**2 - a. Is r(w) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 414 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*-4*(-1 + sqrt(17)) + sqrt(170)\/(sqrt(10)*2 + sqrt(10)) + -4)*-3.\nAnswer: -60 + 71*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*s**2 + 69*s**3 - 24*s**2 - 3*s + 3*s.\nAnswer: 69*s**3 - 5*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -3*o + 19. Let z be d(8). Let p be -1 - (z + (1 - -3)). Suppose -3*g + t + 18 = -2*t, 5*g + 3*t - 62 = p. What is the units digit of g?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*a - 455409 + 1758145 = 0. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/11, 0, -0.465, 32.3, 1\/2, -0.3?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 1430?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 72132701 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5952 - 22. Let m = v + -5679.1. What is m rounded to the nearest ten?\nAnswer: 250","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -0.103, -2\/3, -1\/4, -0.4?\nAnswer: -0.103","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -t**2\/5 - 4419016*t\/5 - 4881925602064\/5.\nAnswer: -(t + 2209508)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -172 + 445 = j. Is j a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 290 + -288. Suppose 5*v + 42 = -138. What is the units digit of (-1977)\/v*2 + b\/12?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/(-2862)*-8*(-2220)\/1480\nAnswer: 2\/159","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -2*p**2 + 1 - 1010*p + 1011*p + 3*p**2. Let i(o) = -4*o**2 - 5*o - 7. Let b = -4 - -10. Give b*f(l) + i(l).\nAnswer: 2*l**2 + l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 223899 is divided by 223879.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1073 and 116.\nAnswer: 4292","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = -0*q - 21. Let j be (-1*q)\/(-1 - -2). What is the tens digit of (-74)\/(-5) + j\/(-35)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -0.1 (b) -1\/6 (c) -4\/5 (d) 10 (e) -512\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 4*q - 224 = 0, -4*n - 5*q + 216 = -3. Calculate the remainder when 134 is divided by n.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3169, -7179, -11193, -15217, -19257, -23319, -27409, -31533?\nAnswer: -35697","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3035 is divided by 22.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/38 + (680\/(-57))\/((-154)\/(-231))?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/29, -3\/5, 2\/4217 in descending order.\nAnswer: 2\/29, 2\/4217, -3\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 2, b: 1, f: 2, r: 1, w: 1}. Give prob of sequence fu.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 33*s**2 + s + 1. Let h be a(-1). Find the common denominator of (-206)\/(-12) - (-6)\/3 and ((-78)\/h)\/(-2 + 3).\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -44681532 divided by -11170383?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + -10 + -1 + 1 + -200 + 198.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -38656331 rounded to the nearest one million?\nAnswer: -39000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -36260 and -106086688?\nAnswer: 106050428","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = j**3 - j - 18. Calculate i(0).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1215, -2, -65, -4, -3.\nAnswer: -65, -4, -3, -2, 1215","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = -3, 5 + 4 = 2*o - t. Suppose -2*y - o = y. Let d be ((-3)\/((-39)\/y))\/2. Which is the second smallest value? (a) d (b) 2 (c) 2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = 5*s - 60, -3*s + 19 = 2*v - 0. Let o = -134 + 370. What is the remainder when o is divided by v?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = -2*m, 0 = -5*b - m - 10 - 3 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 1\/3, -290.\nAnswer: -290, -1, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -140, -130, -108, -68, -4?\n\"Answer: g**3 + 3*g - 144","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 1, h: 1, q: 2, t: 1, f: 2}. What is prob of sequence ffhw?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.3 (b) 101 (c) -10\/71\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -4*i**2. Let y(c) = 3*c + 3*c + 6*c**2 - 2*c**2. Let h(p) = 9*p**2 + 13*p. Let w(q) = -6*h(q) + 13*y(q). Determine l(w(b)).\nAnswer: -16*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -y**2 + 2*y - 2. Let j be s(4). Suppose 2*k + 30 = 7*k. What is the units digit of k\/j + 43\/5?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*t**2 + 333*t + 1380.\nAnswer: -3*(t - 115)*(t + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the second derivative of 0 - 8*p + 1\/12*p**4 + 0*p**2 + 1\/90*p**6 - 1\/18*p**3 - 1\/20*p**5. Let z(c) = 0. Calculate c.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q = -0*q - 3*l - 15, -5*q = -2*l + 25 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -41*i + 4421. Give f(108).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -613 + 21139. Suppose d - 320526 = -q. What is q rounded to the nearest 100000?\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((63\/30)\/7)\/((-2)\/(-4)).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 69 + -56. Let q = j - 16. Does q = 6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -4*g**3 - g**2 + g - 1. Let j(s) = -25*s**3 - 4*s**2 + 6*s + 565. Give -j(w) + 6*t(w).\nAnswer: w**3 - 2*w**2 - 571","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) be the first derivative of -23*l**2 - 207*l - 140. List the prime factors of y(-10).\nAnswer: 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 514.98 rounded to the nearest one hundred?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 12) to base 6.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13052280.\nAnswer: 2, 3, 5, 108769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 2*u**2 + 114*u + 1008. What is r(-46)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (24*v**2 + 101*v - v - 23*v**2)*(-6*v**2 + 2*v**2 + 2*v**2) as q*v + p*v**4 + z + d*v**3 + i*v**2 and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r = -r + 72. What is the units digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 472712748 to the power of 1\/7, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 3, o: 1, w: 5, r: 1}. What is prob of picking 1 o and 1 w?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 0*u + 6 = 0. Let o = 2 + u. Let q be o - (0 + -2 + 1). Which is smaller: -1 or q?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5625 by -3.\nAnswer: 1875","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3612 + -72971.\nAnswer: -76583","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 25829953?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x**2 - 8*x + 12. Give g(8).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -56 - -256. Calculate the highest common factor of z and 120.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is a8 - 4302?\nAnswer: -4216","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 681 divided by -227.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((a**1\/a*a)**47)**(-23))**(-44))**(17\/3) assuming a is positive.\nAnswer: a**(808588\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Add together -191 and 6602.\nAnswer: 6411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 1022*u - 98. Let v(r) = 31*r - 3. Let n(w) = 2*w**3 - 80*w**2 + 79*w + 59. Let i be n(39). Give i*v(m) - 3*l(m).\nAnswer: -28*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 3*m = 18 - 32, -3*f - 2 = m. Does 4 divide -910*(-2)\/12 - f\/(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 28 and 77.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + 2 + -5*sqrt(32) + (sqrt(32) + 1*sqrt(32) + sqrt(32))*1)**2.\nAnswer: -112*sqrt(2) + 177","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 3223 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4, -2, -1, -775?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -o**2 - 21*o + 16. Let p(k) = -20*k + 15. Let n(v) = 5*g(v) - 6*p(v). Solve n(u) = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4 - -7\/2. Let m = 4.7 + -4.2. Let j = -2.84 + 2.83. What is the closest to -1 in m, r, j?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -s**3 - 3*s**2 + 2*s - 4. Let i be g(-3). Let o = i - -26. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 1, o: 3, l: 3, n: 6, z: 1, w: 3}. What is prob of sequence vln?\nAnswer: 3\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6\/13 in 3, 6, -167\/2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 72 and 144216?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.44458 + -0.14458. Which is the nearest to 103\/11? (a) -1\/4 (b) 3\/4 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 60804 and 928387?\nAnswer: 563","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/(3 - -18))\/((-124)\/(-217)).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -48 + 136. What is the greatest common factor of g and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -5 (b) -72 (c) -159\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 17 + -12. Suppose 0 = -2*p + 1 - s, 2*w + 5*p + 40 = 0. Calculate the common denominator of 79\/20 and w\/(-15) - 43\/18.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6 - (5 - 2)) + -2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 59 a factor of 12690205?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - 2669.6.\nAnswer: -2668.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 4\/3 (b) -5 (c) 2242 (d) -1\/6 (e) -4 (f) -2\/11\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-13)\/26)\/(-1*(-3)\/(-6)). Let l = 599\/308 + 15\/44. Is l at least as big as n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 2*p**3 - 62*p**2 - 5*p - 27. Is n(32) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 402122117 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1bbb2 + 5?\nAnswer: 1bbb7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 90 by 2.\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 839832 and 1120.\nAnswer: 16796640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2649.9, -2, -4\/29.\nAnswer: -2, -4\/29, 2649.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -33751206.9 rounded to the nearest 100000?\nAnswer: -33800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-66)\/924)\/(198\/(-74844))?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 213251 is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*j = -14*j - 42. Let w = 64 + j. Find the second derivative of w*v + 27*v**5 + 1673*v**3 - 1673*v**3 wrt v.\nAnswer: 540*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the second derivative of q**7\/840 + q**6\/180 + q**5\/120 - q**3\/2 + q. Let s(r) be the second derivative of n(r). Factor s(v).\nAnswer: v*(v + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -29*q**3 + 2*q**2 + q. Let v be c(-1). Let g be (-4)\/(-16) + (-14)\/(-8). Suppose g*s = v + 12. What is the greatest common factor of 21 and s?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 39838, 39808, 39778, 39748, 39718?\nAnswer: 39688","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -12302230 - -1200123?\nAnswer: -11102101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -308.629926 - -69?\nAnswer: -239.629926","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*g**3*p**3 + 3*g**3*p**2 - 5251093*g**2*p**4 + 3*g**2*p**2 + 804*g*p**2 + 329*p**2 wrt p?\nAnswer: 18*g**3 - 126026232*g**2*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 87, 4, 0, 3, 2, 23 in descending order.\nAnswer: 87, 23, 4, 3, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0, 415, -11?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in three fifths of a kilometer?\nAnswer: 60000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h**(-1)*h)\/h)\/h*h\/h**(-1))\/(h**0\/h)**(4\/21) assuming h is positive.\nAnswer: h**(4\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 6, 4\/9, -0.056, -2, 0.12?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 82621465 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-32)\/(-20))\/(4\/(-240)). Let z = 173 + p. What is the highest common divisor of z and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 8 = 2*l, 4*l + f - 20 = 4*f. Which is smaller: l or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 101000111100 (base 2) to base 12.\nAnswer: 1624","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 22045589 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6514940?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -9.04753 - -0.04753. Let t = -8 - -4. Which is the closest to t? (a) 2 (b) j (c) -4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b + 61*c = 62*c - 11, -5*c - 80 = -12*b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 7 - (-5)\/((-10)\/(-804)). Which is bigger: a or 408?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 662163 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 58529170 rounded to the nearest one million?\nAnswer: 59000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:36 PM and 6:40 AM?\nAnswer: 664","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 474*s**2 + 26*s**2 + 642*s**2 + (5*s**2 + 9*s - 9*s)*(2 + 3 - 3) + s**2 + 2 - 2 + 4*s**2 + 0*s**2 - 3*s**2 as u + y*s**2 + a*s and give y.\nAnswer: 1154","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2431?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 396252 is divided by 29.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -532380 divided by -177460?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (69 + 24 + 204 - 17)*(-10 + 10 - 9*c).\nAnswer: -2520*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y = 9*v - 51, -8*v + 4*y = -4*v - 4 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cbw when three letters picked without replacement from {c: 1, k: 1, b: 1, l: 1, w: 1}?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1368167556 by -6.\nAnswer: -228027926","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 360667 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -32 + 35. Let j(z) = -4*z**2 - z - 1. Let r(u) = 5*u**2 + 2*u + 2. Suppose 8*f + 5*t + 6 = 7*f, 4*f = 2*t + 20. What is d*r(v) + f*j(v)?\nAnswer: -v**2 + 2*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*u**2 + u - u - 22*u**2.\nAnswer: -28*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 3*v - 13. Let b be z(7). Let t = -2 + b. What are the prime factors of t?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14\/(-7)*(-2)\/4?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -102 by -34.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -8.9 + -0.5. Let h = 5.7 + d. Let t = 0.7 + h. Which is the second smallest value? (a) t (b) 1\/2 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -u**3 - 5*u**2 - 2*u + 5. Let r(l) = l**2 - 8*l + 7. Let b be r(6). What is the tens digit of q(b)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 241, 329, 407, 469, 509, 521, 499?\nAnswer: 437","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 52578, 105155, 157734, 210315, 262898?\n\"Answer: a**2 + 52574*a + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -19 - -21. Suppose -g - 21 = 5*i, -v*i - 11 - 1 = 4*g. Which is the smallest value? (a) 5 (b) g (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 23886586?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b + 9 = 0, -69 = -3*o + 9*b - 54 for o.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1532 + -1532.00001271. What is b rounded to 7 decimal places?\nAnswer: -0.0000127","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 44837 is divided by 472.\nAnswer: 469","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 128 + 103 - 261 - 8*b to d + r*b and give d.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -3 + (8 - 4) - -21. Suppose 0 = -q + y + 45. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 144986.1003 * -1\nAnswer: -144986.1003","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10\/(-20) - (-5)\/10*1*(-133)\/(-21).\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -35*d*f**2*p**2 + 2*d*f*p**3 - 3478*d*f*p**2 + 394433*f**2*p**3 wrt p.\nAnswer: 12*d*f + 2366598*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve o + 0*o + 3*c - 5 = 0, 2*o = 4*c for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: ((-65)\/(67405\/366))\/((-27)\/102)\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*g + 5*g = -15*g + 123326. What is the hundreds digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 53\/4 in -1, 0.5, -5, 1.2?\nAnswer: 1.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -13 - -10. Let q(t) = 18*t**2 - 3*t - 1. Let y be q(f). Suppose -5*m - x = -5*x - y, -3*x = -5*m + 165. What is the units digit of m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: de (base 15) to base 14\nAnswer: 10d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*x = x - 2*x. Suppose x = 4*w - 28 + 4. Suppose 0 = 5*i + 3*j - 285, -i + 5*i = 2*j + 228. What is the remainder when i is divided by w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c = -5*l - 21, -23*c + 28*c = -2*l - 5 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -194102832 rounded to the nearest 1000000?\nAnswer: -194000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -4540 divided by 20?\nAnswer: -227","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 2*d - 3 = 2*d, 5*m - d = 6. Let s(x) = x**3 - 2*x**2 + x - 1. Let j be s(m). What are the prime factors of j\/(1\/((-26)\/2))?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8\/(-18) - (-140)\/180)*-27?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1865 + 1873. Let g be (-1 - (2 + -2)) + -1. Is ((129 + -3)\/(-3))\/(g\/l) a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yppypy. Give prob of sequence yy.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 59493 to the power of 1\/5, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10381828*f = 10381830*f + 2*j - 12, 3*j = -45*f - 66 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2c1951d - 0?\nAnswer: 2c1951d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*n**4 + n**4 - 4*n**4 + 2*n**2 + 2*n**4 - 2*n**2 + (3*n**2 - 3*n**2 + n**3)*(-4 + n + 4) - 13653*n**4 + 32159*n**4 - 14259*n**4.\nAnswer: 4252*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.297516ns to seconds.\nAnswer: 0.000000008297516","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 25*v - 21*v - 2636. List the prime factors of v.\nAnswer: 659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (-5*(sqrt(1936) + -4*(sqrt(1936) - (sqrt(1936) + (sqrt(1936)*1 - sqrt(1936))))))\/((sqrt(128)\/(sqrt(16)\/sqrt(2)))\/(sqrt(4)\/(sqrt(2)*-2))).\nAnswer: -4 + 55*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -144*a + 149*a - 9 - 41 for a.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -9470003*i**3 + 2*i**2 + 54*i - 27687.\nAnswer: -56820018","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**(5\/4))\/(d*d*d**3)*(d**(3\/7))**(3\/29) assuming d is positive.\nAnswer: d**(-2197\/812)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 16953*g**3*w**2 + 7*g**2*w**2 + 34*g*w**2 - 2*g*w + 2*w**2 wrt g.\nAnswer: 101718*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1397718 is divided by 681?\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -3*n. Let q(m) = 373*m**2 + 58*m. Determine d(q(g)).\nAnswer: -1119*g**2 - 174*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 229388 is divided by 3546.\nAnswer: 2444","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 290140 is divided by 15113?\nAnswer: 2993","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -2*v**2. Let u(r) = 45*r**2 - 33. Calculate b(u(t)).\nAnswer: -4050*t**4 + 5940*t**2 - 2178","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 470670 = 16*n + 71*n. What are the prime factors of n?\nAnswer: 2, 5, 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 231 divide 473550?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 79\/8382 and 11\/10.\nAnswer: 41910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lllg when four letters picked without replacement from lgllggg.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1065 or 180?\nAnswer: 180","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 77917708 is divided by 390?\nAnswer: 388","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*w + 10*w = 2 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*(g**4\/g*g)\/g*g\/g**2)**(-34) assuming g is positive.\nAnswer: g**(-102)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5468 and 20?\nAnswer: 27340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 14118?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1691365983?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.087909 + 15.788691. Let p = -15.9 + a. What is p rounded to 3 dps?\nAnswer: -0.023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 330*k - 13791. Determine m(42).\nAnswer: 69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 0.5 (b) 295\/21 (c) 0.1 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (112\/70)\/((-4)\/(-30)*-3).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that 5*k**2 - 15894120*k + 12631152528720 = 0.\nAnswer: 1589412","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -9*h**2 - 9*h - 13. Let r = 10635 - 10642. Let w(p) be the third derivative of -p**5\/15 - p**4\/6 - p**3 - 2*p**2. Give r*w(u) + 3*i(u).\nAnswer: u**2 + u + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 31325977 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -1a09 (base 14) to base 6\nAnswer: -33453","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4359*w**2 - 4387*w**2 + 67*w - 67*w.\nAnswer: -28*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-2)*g\/(g\/(g\/g**(-2\/7))*g))\/(g\/g**(-3\/7)*g\/(g\/g**(-4))))**35 assuming g is positive.\nAnswer: g**30","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3651, 3, -2 in descending order.\nAnswer: 3651, 3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in d + 882*d**2 - 1758*d**2 + 916*d**2.\nAnswer: 40*d**2 + d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*x = -2388 + 1912 for x.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 1483*j + 4 - 5.\nAnswer: 1483*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3849634 to the nearest integer?\nAnswer: 157","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1260.54 + 1257. Round y to zero decimal places.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -10, -1, -2, 24 in decreasing order.\nAnswer: 24, -1, -2, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2050 - 5938 = -8*c. Calculate the greatest common factor of c and 810.\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(-2\/21)*x*x**(-1\/8) assuming x is positive.\nAnswer: x**(131\/168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -307 divided by -7\nAnswer: 307\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-88)\/(-16))\/11*-6?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -350.09 rounded to the nearest ten?\nAnswer: -350","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from egegege. What is prob of sequence ge?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1404 is divided by 32.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 313\/2 - 163. Let f = -6 - n. Let t = 4.7 - 5. Which is the second smallest value? (a) 0.4 (b) f (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 10*g**2 - 55. Let d(v) = 37. Let s(j) = -56. Let p(l) = 3*d(l) + 2*s(l). Give 2*a(r) - 110*p(r).\nAnswer: 20*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 50516 and 584?\nAnswer: 292","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -13*z**3 - 6*z - 1. Let w(t) = -t**3 - 4*t - 1. Give -2*l(s) + 2*w(s).\nAnswer: 24*s**3 + 4*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 183*y - 179*y = 5*k + 964, 0 = -3*y - 3*k + 723. Is y a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -45 + 3 + 5*x**2 + 4*x**2 - 13*x**2 - 4*x wrt x.\nAnswer: -8*x - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.03 + 20.8?\nAnswer: 20.77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = l**2 + 11*l - 18. Let k be w(-13). What is the greatest common divisor of 72 and k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -72*r - 775 + 1650 + 925 for r.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 27008054519 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -149\/48 and 35\/48.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -8*w**2. Let s(z) = -20*z + 54. Give s(d(i)).\nAnswer: 160*i**2 + 54","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -2*a**2 + 6. Let q(f) = f**2 + 2*f + 26 + 10*f + 0*f. Let t be q(-8). Let n(h) = -2*h**2 + 5. Determine t*n(i) + 5*l(i).\nAnswer: 2*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 158716 is divided by 52901?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1061\/3 + -353. Suppose 8\/9*l**4 - 2\/3*l + 2\/9 - 10\/9*l**2 + p*l**3 = 0. Calculate l.\nAnswer: -1, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6 - -8. Let r be 42 - (d - (-1 + 5)). Suppose 3*k + 0*g - r = -2*g, -5*g - 42 = -2*k. Solve -4*s + 2*q + 15 = 1, 4*q = 2*s - k for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -103, -1, 0, 1 in descending order.\nAnswer: 1, 0, -1, -103","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -3*c**2 - 5*c. Let b be -5 - -12 - 5\/1. Let q(l) = -2*l**2 - 2*l. Suppose 2*k + 0*k + 6 = -h, h + 11 = -3*k. What is b*x(a) + k*q(a)?\nAnswer: 4*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -0.4, -7, 3, 0.015, 6\/7?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 15 = l, 5*n - 3*l - 95 = n. Calculate the remainder when n is divided by (-4)\/(-14) - (-188)\/28.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3 + 75?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 56 minutes after 1:21 AM?\nAnswer: 2:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/x**12)**(-2\/29)\/(x*x*x\/((x*x*x**(-1\/30)*x)\/x)*x*x*x*x**(-1\/9)) assuming x is positive.\nAnswer: x**(-8257\/2610)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 384*i = 389*i + 445, 4*i - 1096 = -5*v. Solve -v = 6*f - 220 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -22 greater than 10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18625 = -48*z + 7871. What is the hundreds digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 83491 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 10685431 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e when two letters picked without replacement from jzzzzezve.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -19 + 7 + -24 + 13\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 800705909707101.0000041 - 800705859587393. Let b = n - 50119692. Let l = b - 16. What is l rounded to 6 dps?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -13 - (70 - (33 + 43)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put together 130.44 and -12383.\nAnswer: -12252.56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 116*a - 5. What are the prime factors of o(13)?\nAnswer: 3, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 1111, 1103, 1081, 1039, 971?\n\"Answer: -l**3 - l**2 + 2*l + 1111","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/20 of a millennium?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*q**2 - 10*q**2 - 7*q**2 - 13*q**2 - 13*q**2.\nAnswer: -39*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 169951464 by -28325244.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -14*i. Let r(y) = 19*y + 8. Let g(o) = -2. Let m(v) = -4*g(v) - r(v). What is m(f(l))?\nAnswer: 266*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 1305032303 (base 6) to base 11\nAnswer: 8737974","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -9\/16816 and -59\/1143488.\nAnswer: 1143488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1358215 and 9011605?\nAnswer: 2755","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = t. Let s be (3 - 0) + 6 + -3. Give d(s).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -2*s**2 - 4*s + 1. Let o(j) = j**3 - j**2 - 1. Let b be o(0). Let t(v) = -v. What is b*k(a) + 2*t(a)?\nAnswer: 2*a**2 + 2*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Are -29044774 and 0.3 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -v**2 + 6*v + 4. Let o be q(6). Suppose 5*z - o*w = 43, 4*w - 34 = -z - z. What is the units digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -13, 5, 4 in descending order.\nAnswer: 5, 4, 1, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) be the first derivative of -5*c**2\/2 - 21*c + 57. Find the first derivative of d(v) wrt v.\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n\/(n*(n*n*n**(-1\/9)*n*n)\/n)*n**33 assuming n is positive.\nAnswer: n**(271\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2885309 is divided by 18?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 666*y = -379*y - 37620 for y.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 11905*a*k**3*l**2 - a*k**2*l**3 + 2*k**3 - 153156*k**2*l**3 wrt a.\nAnswer: 11905*k**3*l**2 - k**2*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5715 is divided by 171?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -26943 plus -0.201?\nAnswer: -26943.201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - d = 32 - 7, 2*k - 3*d - 35 = 0. Calculate the least common multiple of 7 and k.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 15*y**2 + y. Suppose 0 = -5*g + 62 + 93. Let n = g + -32. Calculate p(n).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand j**3 - 2*j**3 + 2*j**3 + (-1 + 1 + 2*j)*(-j + j - 2*j**2) - 4 - 2*j**3 + 4 + (-1 + j + 1)*(-3*j**2 + 4*j**2 + 0*j**2) - 20*j + 20*j + 3*j**3.\nAnswer: -j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (100878\/(-172))\/(-69)*6\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -6*z. Let w(b) = -6*b. Let c be -5*((-42)\/30 - -1). Give c*w(t) - 3*f(t).\nAnswer: 6*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 124141*g**2 - 124141*g**2 + 290*g**3.\nAnswer: 290*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dttyttttttrtstyt. What is prob of sequence ys?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -80399, -160797, -241197, -321599, -402003, -482409?\nAnswer: -562817","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*w**4 - 45*w**3 - 71*w**2 - 24*w.\nAnswer: w*(w - 24)*(w + 1)*(2*w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -21, -13, 7, 45, 107, 199?\nAnswer: 327","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 11 + -34?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 c when two letters picked without replacement from {a: 1, c: 5, f: 1, t: 3, z: 1, b: 1}?\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 54 + -38. Suppose 0 = 2*s - 0*s - u. Let r be (s\/12)\/(3\/9). Solve -r*y = -0 + 6 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*p = 19*p + 20. Solve 0*y - 10 = p*y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 107087886*h**2 - 85361772.\nAnswer: 214175772*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.1322 and 2.\nAnswer: 2.1322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -156 divided by 11.\nAnswer: -156\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -470, -473, -476, -479, -482?\nAnswer: -485","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**18\/w**1)**(-2\/7) assuming w is positive.\nAnswer: w**(-34\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*c - 3*c = 3*h + 18, 0 = -c - h - 2. Suppose -3*x + 769 = 2*j, 1007 = c*x + 2*x - j. Calculate the highest common factor of x and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = i - 13. Let c be h(-8). What are the prime factors of c\/28 - 358\/(-8)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hsavkvhvvhakvnns. What is prob of picking 1 a and 1 h?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1480 and 24?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 5*a**3 - 5*a**2 + 6*a - 11. Let p(r) = 6*r + 3*r**2 - 6*r**2 - r**2 + 4*r**3 - 7 - 4. Let s(l) = -2*j(l) + 3*p(l). List the prime factors of s(4).\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -16*u**2. Let h(j) = 166*j - 90*j - 93*j. Calculate a(h(n)).\nAnswer: -4624*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100 + 1001001100010000000010101?\nAnswer: 1001001100010000000011001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 10, t: 1, f: 6}. Give prob of sequence rt.\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (10 - -1) + -11 + 10 + -5. Solve d*m + 0*m - 5 = 0 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 0*p + 2*p - 8*p. Let x be u(-2). What is the least common multiple of 9 and (6\/(-4))\/((-9)\/x)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3673\/2 - -1926. Let t = -381\/4 + p. Find the common denominator of 81\/14 and t.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 8*r. Let d be f(1). Let l(k) = k**2 - 7*k - 10. Let j be l(d). Is (-173)\/(-9) + j\/9 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4724 + 194*k**2 - 51*k**2 - 3134*k**2 - 4724 - 978*k**2.\nAnswer: -3969*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that 242*u**4\/13 - 5170*u**3\/13 + 6696*u**2\/13 - 1928*u\/13 + 160\/13 = 0.\nAnswer: 2\/11, 1, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3312 - -4910. What is the greatest common divisor of 282 and j?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -12*h**4\/23 - 9386*h**3\/23 - 38946*h**2\/23 - 35800*h\/23 - 9336\/23 = 0. Calculate h.\nAnswer: -778, -3, -2\/3, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2418 and 624?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 34577 divided by 15?\nAnswer: 34577\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1)\/3 + 57\/9. Suppose u*g = 5*g - 3. Sort -5, 4, g in decreasing order.\nAnswer: 4, g, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -4*(0 - 212\/(-8)). Suppose -676 - 211 = 4*n - 5*t, -5*n = 3*t + 1155. Let l = v - n. What is the units digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1 - -2)*1 + 19. Let b = o + -20. Suppose 351 = 3*n - b*n. Calculate the greatest common divisor of 13 and n.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 57190010.\nAnswer: 2, 5, 5719001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*t + 27*t = 20. Let i(s) = 4*s + 5. Let c(z) = -9*z - 10. Let u(l) = 2*c(l) + 5*i(l). Let r be u(-5). Put t, r, -3 in decreasing order.\nAnswer: t, -3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1983898 + 991951 + 991949 + 19*h**2 + 614*h - 1 + h**2 + 1 + (-2*h - 1 + 1)*(3*h - 3*h + 2*h) + 2*h**2 - 5*h**2 + 2*h**2.\nAnswer: 15*h**2 + 614*h + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v + 77*b - 54*b = -49, -9*b + 12*b = 5*v - 21 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -a**3 - 2*a**2*t**2 + 387*a**2*t - 182*a*t**2 + 3*t**2 wrt a.\nAnswer: -6*a - 4*t**2 + 774*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*v + 2*v - 7 = 0 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((4\/5)\/(-1))\/(20\/(-50)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.4415 in 5, -3\/4, 43, -2, 0.2?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -487173.45 rounded to the nearest 100?\nAnswer: -487200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d + 1140 = 1155 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16802*f + 16798*f - 5 = -3*z, 4*f + 8 = 4*z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4096 and 134912?\nAnswer: 256","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the second derivative of l**6\/30 - 13*l**4\/12 - 5*l. What is the third derivative of b(t) wrt t?\nAnswer: 24*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 39 + -14. Suppose -2*j - 5*v + 8 = -v, c = j - 5*v. Suppose j*l = 14*l - 148. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 943 and 1403.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 84892028?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yfyf when four letters picked without replacement from {h: 3, f: 15, y: 2}?\nAnswer: 7\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -601669 - -601668.97000026. Let n = v - -0.03. What is n rounded to 7 decimal places?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2478877 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 2*c. Let g(b) = -9*b - 2. Let n(y) = -5*y**3 + 2*y**2 - 2*y + 1. Let q be n(1). Let z(u) = -28*u - 7. Let p(t) = q*z(t) + 14*g(t). Calculate p(j(a)).\nAnswer: -28*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 a when three letters picked without replacement from {s: 2, a: 8}.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.6060514 meters to micrometers.\nAnswer: 606051.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*a - 16*a = 2*i - 104096, -i + a = -52049. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = 2, 3*t + i = 40 + 127. Let z = 91 - 42. Let q = -19 + z. What is the remainder when t is divided by q?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.3? (a) 0.08 (b) 11 (c) 4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 8168070 to the nearest ten thousand.\nAnswer: 8170000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one fifths of a centimeter in micrometers?\nAnswer: 42000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*a**3 - 30*a**3 + 33*a**3.\nAnswer: 15*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -20\/39 - 1237\/858. Let j = -231 - -1167. Let t = j - 3765\/4. Calculate the common denominator of l and t.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16280*x + 5292*x = 747184 for x.\nAnswer: -68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 2\/15 of a minute?\nAnswer: 8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000324311614 to six decimal places.\nAnswer: 0.000032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 + 0 - s**2)*(1 + 1 - 3) + 4*s**2 + 10*s**2 - 8*s**2)*(-13 - 6 - 8).\nAnswer: -189*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 2*f + 606 - 606. Let q(y) = 19*y**2. Give q(n(p)).\nAnswer: 76*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 5*u. Let c(t) = -7*t**2 + 117*t**2 - 216*t**2 - 141*t**2. Calculate c(g(l)).\nAnswer: -6175*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -57*d + 3. Calculate r(-8).\nAnswer: 459","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 79 - 33?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 59, 282, 755, 1562, 2787, 4514, 6827?\n\"Answer: 14*v**3 + 41*v**2 + 2*v + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 309190?\nAnswer: 2, 5, 7, 631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bkbo when four letters picked without replacement from {o: 3, f: 6, b: 2, l: 6, k: 1}?\nAnswer: 1\/12240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:53 PM and 3:00 AM?\nAnswer: 367","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.021 and 0.4?\nAnswer: 0.0084","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -473 - -556. Which is the second smallest value? (a) 3 (b) w (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/7, 2\/11, 2, 95.5, 1\/6.\nAnswer: -2\/7, 1\/6, 2\/11, 2, 95.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -181786, -181742, -181638, -181450, -181154, -180726?\nAnswer: -180142","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1103625 and 98100.\nAnswer: 4414500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 201823 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1215889562?\nAnswer: 2, 20947, 29023","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 302 minutes after 4:28 AM?\nAnswer: 9:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 9158750895 and 0.0006?\nAnswer: 9158750894.9994","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (4\/(-10))\/((-2)\/810). Let n be 7446\/3 + 3 + -2. Suppose -2480*q - 54 = -n*q. Calculate the highest common divisor of i and q.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -6a + -1?\nAnswer: -6b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (2 - 5)\/(0 + 1) + -115. What is the tens digit of ((-14)\/7)\/(4\/l)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2749 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 2 i when three letters picked without replacement from {i: 5, a: 2, c: 4, j: 2, b: 4}.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10944 is divided by 23?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2806 - 8492\/3. Let p = -450575 - -4045736\/9. Let n = p + 1056. What is the common denominator of n and a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -754.8 to the nearest 100.\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -110*t**4 - 5*t + 3*t**4 - 3*t + 460 + 322 + 0*t wrt t.\nAnswer: -428*t**3 - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/(-4 + (-253)\/(-55))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 4.544422641 to 4 decimal places.\nAnswer: 4.5444","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 27*q**2 - 6*q - 6. Let d(g) = 53*g**2 - 13*g - 13. Let c(n) = -441*n + 2199. Let t be c(5). Determine t*d(s) + 13*r(s).\nAnswer: 33*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 22, -9441, -2, 1, 295 in ascending order.\nAnswer: -9441, -2, 1, 22, 295","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 182188 to the power of 1\/2, to the nearest integer?\nAnswer: 427","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = 4*g - 22, 13*w + 19 = 15*w + g. Calculate the least common multiple of 390 and w.\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53723 = 5*j - 11*g + 7*g, -42964 = -4*j - 4*g. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 236.3 - 216. Let p = -19.9 + d. Which is the biggest value? (a) p (b) -6\/13 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wq when two letters picked without replacement from uuzwqvzqb.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q + 3*r = -4 + 21, 4*q - r = -9 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the third derivative of q**5\/105 + q**4\/21 - 2*q**3\/7 + 3*q**2. Solve f(t) = 0.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.5 + 2.5. Let d = -37 + 35. Which is the second smallest value? (a) k (b) d (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 3 = 15, 3*o + 4*h - 93 = 0. Suppose -7*y - 416 = -15*y. Calculate the remainder when y is divided by o.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 706047 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -195509*q**3 - 46 + 15 + 14 + 17 + 195465*q**3.\nAnswer: -44*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 8 = 4*b. Suppose 3*x = i + 264, -b*i + 8 + 354 = 4*x. Let l = -33 + x. What is the tens digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) -31 (b) 0.5 (c) 5\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 f when two letters picked without replacement from yereyfeoxfox.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -85.59 - -1.59. Let z = j + 83. Let m = 103 + -102.97. What is the smallest value in m, z, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 83761066?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6 (base 12) to base 11.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -4 (b) 0.2 (c) 5\/2 (d) 0.02 (e) -3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -56524 (base 7) in base 6?\nAnswer: -150154","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 10961 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 342487 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2259984 - -2259984.04999998. Let b = -1.95 - -2. Let j = n - b. What is j rounded to 7 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*u + f + 34, 4*f + 31 = 5*u - 15. Let d be u\/14 - 2919\/(-49). What are the prime factors of (-2)\/(-10) + 6888\/d?\nAnswer: 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0.3 (b) -3 (c) -16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 0.16+-189905018\nAnswer: -189905017.84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28*t - 156 + 156.\nAnswer: -28*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-40181)\/84 + (-12)\/16. Let v = 479 + r. Let k = 256 - 257. Which is the second smallest value? (a) v (b) k (c) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4156 is divided by 42.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -133235264 (base 7) in base 3?\nAnswer: -121020111120122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*b - 4*b = 81. Suppose -36 = -2*t - 0*t. Let v = b - t. What are the prime factors of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 718299 to the power of 1\/2, to the nearest integer?\nAnswer: 848","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -17 + 1 + (17 - (9 - -6)) - 51?\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (6 + 162\/(-30))*110?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 6383097000 to the nearest 100000.\nAnswer: 6383100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -21 - 3. Let o = 37 + v. Let k(z) = 11*z - 11. Let g(i) = -7*i + 5*i - 3*i + 0*i + 5. Determine o*g(h) + 6*k(h).\nAnswer: h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (280\/(-6))\/((-42)\/63).\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -18116*d*x**4 + 151*d*x - 9*d - 3*x**5 - 26*x wrt x.\nAnswer: -217392*d*x**2 - 60*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 44, 45, 38, 17, -24, -91?\n\"Answer: -z**3 + 2*z**2 + 2*z + 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2860796*f**2 + 3243829 wrt f.\nAnswer: 5721592*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the second derivative of -w**7\/504 + w**5\/24 - 7*w**4\/12 - 34*w. Let c(z) be the third derivative of s(z). Determine m, given that c(m) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*l + 15, g - 2*l + l - 18 = 0. Let y = 102 + g. What is the units digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-23)\/92*4\/1. Let t be (v - -4)*(8\/(-6) - -2). Is t > 25\/19?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -s**4\/4 + 1163*s**3\/2 + 4447547*s**2\/4 - 1686383727*s - 2102584100841.\nAnswer: -(s - 2381)**2*(s + 1218)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -25 + 21. Let z be (-11)\/(-12) - (-2)\/(-8). Sort z, 5, m in increasing order.\nAnswer: m, z, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 237200461 to the power of 1\/8, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 12\/(-16) + 1\/(-4). Let k = 11 + w. Does 4 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -2 + 7\/(14\/16). Suppose -3*t - 12 = 0, -3*b - y*t = -t - 28. What is the units digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = 9, 0 = h - 4*o - 7 - 7. Suppose -3*q = h*q - 380. Is q a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4407 in -3, 2, -0.3, -5, 94?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*q - 5*a + 8 - 29, 3*q - 2*a = 26. Let t(n) = n - 8. Let p be t(q). Solve 0*m - 5*m - 15 = p for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-10)\/(-15))\/((-1)\/3). Let t be (80\/(-10) - -11) + -1. Put k, -71, t in decreasing order.\nAnswer: t, k, -71","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 180 + -85. What is the units digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7 - 6.7. Let h = -0.29 - 0.11. Let g = m + h. What is the second biggest value in 2\/3, g, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -16626*g. Let z(i) = 202*i**2. Calculate s(z(b)).\nAnswer: -3358452*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 3*1563.66\nAnswer: 4690.98","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out 9368 * -0.5.\nAnswer: -4684","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 26807, 26797, 26763, 26693, 26575, 26397?\nAnswer: 26147","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 72.759303 seconds?\nAnswer: 0.0202109175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -427*s + 3*f = -1257, 7*f + 13 = s + 9*f - 6 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -l**3*o**3 + 4*l**3*o + 3*l**3 - 3*l**2*o**3 + 21*l*o - 30*o**3 wrt o.\nAnswer: -6*l**3*o - 18*l**2*o - 180*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 11574*r. Let q(d) = -1661*d. Determine b(q(o)).\nAnswer: -19224414*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -11*t - 5. Let v(l) be the second derivative of 17*l**3\/6 + 4*l**2 + 4*l. Let f(i) = -5*v(i) - 8*x(i). Let o(n) = -4*n. Calculate o(f(b)).\nAnswer: -12*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -86, 3, 6, 12, -4 in ascending order.\nAnswer: -86, -4, -2, 3, 6, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 31*b**4 + b - 19*b**4 - 18 + 4 - b**3 + 11 to d*b**4 + m + h*b + p*b**2 + i*b**3 and give m.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 70851 (b) 99 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 72 in 24, 0.5, -7\/2, -2, 0.3?\nAnswer: 24","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sky when three letters picked without replacement from {k: 1, o: 1, y: 5, g: 1, s: 1}?\nAnswer: 5\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 761 - 731 - (0 + 17)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 222 + 2*q**2 - 2*q**2 + 3*q - q**3.\nAnswer: -q**3 + 3*q + 222","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-64)\/112*14*1\/(-2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 224 + -129. Let i = d + -95.238. Let q = i - -0.038. Which is bigger: q or -3\/11?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 1831*a**2. Let q(b) = -2*b. What is v(q(g))?\nAnswer: 7324*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 + 58 = -5*r - j, 0 = 4*r + 5*j + 43. Let q(a) = -a**3 - 6*a**2 + 7*a. What is q(r)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 464 is divided by 28.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -73 (base 11) in base 13?\nAnswer: -62","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 - 8 - 12)*(-23*b - 63*b - 82*b).\nAnswer: 2184*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 2*g - u - 13 = 0, -5*g + 5 = 3*u. Suppose g*x - 8 = q, 2*q - q + 3*x - 20 = 0. What is the greatest common divisor of q and 64?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1896 and 2586.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1)\/(((-20)\/5)\/12). Let y be (-123)\/6 + (-2)\/4. Let d be (20\/(-14))\/(l\/y). Calculate the greatest common factor of 30 and d.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*15\/(-25) + (-76)\/(-60)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19 + (-28 - -68) + 10 - 15.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 5 = 10. Suppose 0*m = 4*k + m, 2*k = -s*m. Let j = 1 + k. Solve j = 3*c - 5 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*j + 36*j - 606 - 90 = 0 for j.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.052036t in grams?\nAnswer: 4052036","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 101f + -110?\nAnswer: f0f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + ((sqrt(363) + -1 - sqrt(3))*4)**2 + ((sqrt(24) - sqrt(96))\/sqrt(8))**2*6.\nAnswer: -320*sqrt(3) + 4833","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1 + -2420?\nAnswer: -2419","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 1 = o. Let x = 2 + o. Let r(u) = -7 + 2 - x - u**2. Determine r(0).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -30 - (62 + -71) - (0 + 2 + 5)?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 613 + -588. Suppose 0 = -38*b + t*b + 7033. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.173 + -0.376. Let b = -0.202999356 - o. Round b to 7 dps.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 - (-3 + (-12 - (1 - 1)) + (1002 - 894)).\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 2*t - 7. Let s be g(5). Suppose 2*b - 155 = -5*l - s*b, -l = -2*b - 34. Let y = 48 - l. What is the remainder when y is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-22 + 1 - 2)*(-12*m - 20*m + 0*m) to the form u + n*m and give n.\nAnswer: 736","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -797134 divided by 12857?\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 42764 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (56\/(-420))\/(8\/10)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0042444 rounded to 3 dps?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 3032113 (base 4) to base 7\nAnswer: 53335","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6.1 - 0.4. Let g = a + 6.50025. Round g to 4 decimal places.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - -4 - 2) + (-331 - -334).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -38*o + 30*o + 8920. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:43 AM and 5:50 AM?\nAnswer: 127","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -0.1, -0.4, 1489.6163?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -j**3 - 47*j**2 - 445*j - 132. Calculate q(-13).\nAnswer: -93","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 40500, 162030, 364588, 648180, 1012812, 1458490, 1985220, 2593008?\n\"Answer: z**3 + 40508*z**2 - z - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 51558113?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the third derivative of 8*a**2 + 0*a + 0*a**4 - 5\/3*a**3 + 2\/15*a**5 + 0. Differentiate f(o) with respect to o.\nAnswer: 16*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -37, 2, -11, -1, 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -90*s - 431*s = -13*s + 15240 for s.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -203827\/6758 at least as big as -31?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5 + 4075?\nAnswer: 407a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 52\/(-195) + 4\/10. What is the closest to 3 in 3, z, 0.07?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w, 1 k, and 1 h when three letters picked without replacement from {k: 2, d: 4, h: 3, w: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 132 minutes before 11:31 PM?\nAnswer: 9:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that 4*i**2 + 6520*i - 98700 = 0.\nAnswer: -1645, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 42235 (base 7) to base 10\nAnswer: 10414","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*i + q + 10, -4*i + 15 + 9 = -4*q. Suppose 2*c = -i*n + 83 - 23, -4*n = 4*c - 112. List the prime factors of c.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*v - 7 + 25 = 0. Find the third derivative of -o**v - 7*o**2 + 9*o**3 - 3*o**2 + 5*o**2 wrt o.\nAnswer: 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gag when three letters picked without replacement from gag.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -6*s - 1. Suppose 4 - 8 = -4*z. Let b be (-2*(-3)\/6)\/z. What is h(b)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1\/4)\/(3\/(-12)). Let y be (1\/u)\/(-4 + 3). What is the highest common divisor of 3 and y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -91, 0.3, -47\/4?\nAnswer: -47\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.07 - -160.79067?\nAnswer: 160.72067","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:37 PM and 1:17 AM?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(192) + sqrt(192) + -2 + 1 + (-3*sqrt(192) - sqrt(192))*-3)**2 + -1 + (sqrt(189)*-2)\/(-1*sqrt(175)).\nAnswer: -1114*sqrt(3)\/5 + 37632","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -211427\/18 - -11743. What is the common denominator of p and (3\/28)\/((-9)\/(-198))?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -94, -95, -98, -103?\nAnswer: -110","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1468020305?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-45)\/(-10) - 6\/4. Let q be ((-27)\/(-12))\/(r\/72). What is the greatest common factor of q and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 102153182, 102153171, 102153162, 102153155, 102153150, 102153147?\n\"Answer: m**2 - 14*m + 102153195","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*r = -18*r - 8. Suppose 9*x - 119 = r*x. What is the highest common factor of x and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1011891s in microseconds?\nAnswer: 101189.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*f**6 - 495*f**2 + 16*f**2 + 84*f**6 wrt f.\nAnswer: 9600*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2561.816 rounded to the nearest one hundred?\nAnswer: 2600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((f\/(f\/f**(2\/5))*f)\/f)\/f)**32)**(-2\/103)\/(((f*f*f**(1\/6)*f)\/f**(2\/3))\/(f**(2\/5)*f*f*f**(2\/7)*f)) assuming f is positive.\nAnswer: f**(11237\/7210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10*-2*6\/((-168)\/(-7)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -4*z**3 - 36*z**2 + 2*z + 30. Let b be u(-9). Let a be ((-5)\/3)\/(1\/(-18)). Calculate the greatest common divisor of a and b.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 4 = 2*i, 4*i + 3 = -3*x + 13. Let b(q) be the first derivative of i + 1\/3*q**3 + 0*q**2 + 0*q. Let c(y) = y. Give c(b(k)).\nAnswer: k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -10001000011011 (base 2) to base 15\nAnswer: -28c1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 z when two letters picked without replacement from qqzzzfzq?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -8*v. Let l(f) = 50*f - 430. Let p(z) = -6*b(z) + 2*l(z). Differentiate p(x) with respect to x.\nAnswer: 148","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -86 - -91. Calculate the lowest common multiple of 6 and i.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = h + 10. Let q be u(-8). Suppose -2*g + q + 4 = 4*d, 0 = g - 5*d + 11. Suppose -2*i + 8 - 42 = -4*j, 2*i = 10. Sort g, j, 3 in decreasing order.\nAnswer: j, 3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*q + 123*q = 28*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -6 (base 12) to base 9\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 65414?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(8\/5))**(33\/5)\/((i*i*(i**20\/i)\/i)\/i**(-23)))**(-50) assuming i is positive.\nAnswer: i**1622","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 179 - 175. Let g = -232\/3 + 79. Let s = -511.9 - -508.9. Which is the second biggest value? (a) g (b) 1 (c) s (d) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38*i - 4231*i - 37763 - 76054 = -744*i for i.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3923?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/(-4)*(-70)\/7. Suppose 263 - 83 = l*i. Is i*4\/6*2 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3 + -6b?\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 53\/252 and -97\/10.\nAnswer: 1260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 times -0.34?\nAnswer: 0.068","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = s**3 + 9*s**2 - 11*s - 5. Suppose 8 = -2*u + 12. Let f be (10\/(-3) - -3)*15*u. Let y be n(f). Solve -2*o - y*b - 11 = 1, 0 = 2*o + 4*b + 8 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23 = 4*i - 3*m, 22*i - 23*i + 3*m - 8 = 0 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*f = 41 - 20 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2590475548 to the power of 1\/7, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-360)\/225*(-30)\/(-4)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + p + 90 - 20 = 0, 0 = -5*z + 5*p + 50. 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: Let q = -15.924 - -15.803. Which is the closest to q? (a) 3 (b) 5 (c) 0.2 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -13*v**3 - 7*v**2 - 26. Let z(b) = 7*b**3 + 4*b**2 + 13. Let w(g) = 4*x(g) + 7*z(g). Find the first derivative of w(d) wrt d.\nAnswer: -9*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -216b4c8 (base 13) to base 3.\nAnswer: -201020021222002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 89\/16 and 47\/1218.\nAnswer: 9744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0, -0.09, 2, -0.2?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1296) - (sqrt(1296) + -3*sqrt(1296) - sqrt(1296)))\/(sqrt(48)\/(sqrt(12)\/sqrt(2))).\nAnswer: 36*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.7 + 1. Let v = 0.235 + -97.235. Let y = v - -97. What is the closest to y in 3\/8, a, 8?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 0, 10246 in decreasing order.\nAnswer: 10246, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o = -16*b - 172, o + 712 = -5*b + 665 for b.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1 + 0. Suppose -v + 46 = -3*q, v - q - 30 = 14. Let m = v - 48. Which is the second smallest value? (a) 2 (b) m (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 290\/1015 + (4\/114)\/((-70)\/465).\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -11613 + 11613.31. What is the nearest to -0.06 in k, -2, 1, 0.5?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2944*q + 2946*q - 5888*q + 1052.\nAnswer: 2*q + 1052","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -s**2 - 93*s**2 - 594*s**2 + 64*s**2.\nAnswer: -624*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 700 minutes after 1:03 AM?\nAnswer: 12:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*t = 14*t - 156. Calculate the remainder when 154 is divided by t.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m - 5*o - 151 = 0, -o = m - 293604 + 293639 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 96*y**2 - 2*y + 15.\nAnswer: 192","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, 4, -72, 49 in ascending order.\nAnswer: -72, -9, 4, 49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 95.6 - 86.79. Let b = n - -0.19. Sort 1, b, -0.3 in increasing order.\nAnswer: -0.3, 1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 58471, 58482, 58509, 58558, 58635, 58746, 58897, 59094?\nAnswer: 59343","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 g when two letters picked without replacement from {u: 1, g: 4, s: 2}.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 1, v: 4, j: 2, b: 2, o: 5}. Give prob of sequence jzo.\nAnswer: 5\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z\/(z*z**0\/z*z)*z*z**6\/z)**(-2\/9)*(((z\/((z*z\/((z\/z**2)\/z))\/z)*z)\/z)\/z**(-5\/6))**3 assuming z is positive.\nAnswer: z**(-91\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -55 + 59. Solve -a - b*a = 20 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1145713565 to the nearest integer?\nAnswer: 1046","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -72 - -79. Suppose -4*v = -c*v + 141. Differentiate -6*m - 6*m - 7*m - 20 + v with respect to m.\nAnswer: -19","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 8915676, 17831349, 26747024, 35662701, 44578380, 53494061, 62409744?\n\"Answer: h**2 + 8915670*h + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 650 and 140000.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 2*h**2 - 331*h + 12. Let r(t) = 6*t**2 - 994*t + 38. Calculate 19*c(m) - 6*r(m).\nAnswer: 2*m**2 - 325*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 - 4 + 4 + 10*i**5 + (-2 + 2 + 2*i)*(2*i**2 - 2*i**2 - i**4).\nAnswer: 8*i**5 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(66)\/(sqrt(294) + sqrt(294) + (sqrt(294) - (-2*sqrt(294) - sqrt(294)))))**2 - (sqrt(176)*3 - (sqrt(1584) + (sqrt(1584) - -1*sqrt(1584)))**2).\nAnswer: -12*sqrt(11) + 25147595\/1764","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5 * -181997.7.\nAnswer: -90998.85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -271 + 271.5936. Let b = -0.6 + d. Round b to three decimal places.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 14*x - 131*x - 210 + 210 as s*x + z and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 442 a factor of 13000546?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 5*s - 58 - 48 = 0, -5*q + 296 = 3*s. Suppose -t = -2 - 0, -t = -3*f + q. Solve 0 = 5*a - u + 10, 3*a - 3*u = -2*a - f for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.08370585949 rounded to 6 decimal places?\nAnswer: -0.083706","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 t when two letters picked without replacement from {m: 4, p: 1, x: 1, b: 1, l: 1, t: 4}?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/9*((-3)\/(-2))\/((-1722)\/(-328))\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*t**2 - 5*t**2 - 8*t**2 - 3*t to the form k + i*t + v*t**2 and give i.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 52*d**2 - 179*d**2 + 55*d**2 + 85*d**2.\nAnswer: 13*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -531 equal to -533?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 2 n when three letters picked without replacement from eenneene.\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -799*z = 422*z - 3206 + 764. Suppose 5*f = 34 - 4. What is the greatest common divisor of z and f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-2)\/(-54))\/((-6)\/(-36)). Let m = -24\/55 + 2\/55. Let w = -0.1 - -0.5. What is the closest to -0.2 in m, q, w?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 186 minutes after 5:04 PM?\nAnswer: 8:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 119\/2890*(1*6)\/((-546)\/(-208)*-4).\nAnswer: -2\/85","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -29 >= 5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rlurrzzuuwku. Give prob of sequence lk.\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1314 and 17374?\nAnswer: 156366","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*g*s**2*z**3 + g*s*z - g*z**3 - 3*g*z**2 + 16*g + 11*s**4 with respect to s.\nAnswer: 4*g*s*z**3 + g*z + 44*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((2\/(128\/20))\/(51\/(-306)))\/((-3)\/80)?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -49 in 0.2, 1, 0.1, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 (base 14) in base 4?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 17*x**2 - 337*x - 1404. Let q be k(-4). Solve 70*i = 16*i + q for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*k + 3*k + 9*k)*(1 - 1 - 3*k)*((-k + 2 - 2)*(0 - 2*k + 0) + 0*k**2 - 3*k**2 + 4*k**2 - 1 - k**2 + 1).\nAnswer: -102*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2199 + -2090. What is the remainder when t is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1 - b25568?\nAnswer: -b25569","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 62\/11448305 and -19\/17930.\nAnswer: 22896610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 5, d: 3, q: 1, j: 1, w: 3}. Give prob of picking 1 d, 1 w, and 1 e.\nAnswer: 45\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 223 - 141. Is 41 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(1*-1*sqrt(104) - -4*(sqrt(104) + 2*sqrt(104))))\/((sqrt(968) - -3*sqrt(968)*-3)*6).\nAnswer: sqrt(13)\/48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -500\/9 + 157\/3. Calculate the common denominator of h and (-927)\/(-72) + (-2)\/4.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = -5*w + 20, 4*y + 0 + 2 = 2*w. Suppose w*j - 240 = -j. What is the tens digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange x - x - x + (-1 + 2 + 2)*(3 - 3 - 3*x) - 4*x + 0*x + 0*x + 52 + 8 + x + 60 to a*x + v and give v.\nAnswer: 120","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = i**2 - 13*i + 21. What is c(9)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the third derivative of -k**5\/60 - k**4\/12 - 7*k**3\/6 + 5*k**2. Let m(s) = s + 1. Let u be m(-6). Let w(y) = 1. Give u*w(j) - f(j).\nAnswer: j**2 + 2*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 1 - 2)*(-4 - 2*w**4 + 4 + 7*w**4 + 6*w - 6*w + (w**2 + 0*w**2 - 2*w**2)*(w**2 - 3*w**2 + w**2)) as v*w**3 + t*w**4 + i + f*w + o*w**2 and give t.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5667 = 4*m + 1483. Is 163 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1, 3, 0, 3334833?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 10*h**3 + 2*h**2 + h. Let w be 32\/14 - 2\/7. Suppose n - 3*n = w*v - 16, n - 17 = -4*v. Suppose 2*m - 3 = 5*f, -n*f - 3*m - 11 + 3 = 0. Give i(f).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = w**2 + 12. Let g be j(0). Calculate the greatest common divisor of g and 36.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 0*t - t**2 - 7*t**2 + 11 - 3*t. Let c(w) = 3*w**2 + w - 4. Calculate -17*c(z) - 6*v(z).\nAnswer: -3*z**2 + z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -abb2 + 8?\nAnswer: -aba6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 76 = 3*a, 2*a = -3*w - a + 36. Let r(f) = f**3 + 9. Let m be r(0). Let v = m - 6. Solve w = -i - v*i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -70 and -1.1.\nAnswer: -71.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 21440?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/(-96)*4)\/(953\/53368)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -36 + 42 - (-1 + 11 + 2)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -10100001 (base 2) to base 15\nAnswer: -ab","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2275, 5, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -13 - -1. Let z = -0.26 + 16.26. Let g = v + z. Which is the second biggest value? (a) g (b) -5 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -11*k**2 - 11*k + 2*k + 2*k - 2 + 10*k as n*k + m + d*k**2 and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 2) in base 12?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -3*u - 6. Let l be w(-3). Suppose -l*n + 21 = -0*n. Suppose n*b - 2019 = 200. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27241 divided by 5.\nAnswer: 27241\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = -41365 - 13815. Is (j\/(-11))\/(-4) - (-10)\/55 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = 43 - 39. Suppose -4*n + 0*d + 212 = -u*d, n + 2*d = 38. What is the greatest common divisor of n and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -37 (base 10) in base 16?\nAnswer: -25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 14756, 14590, 14338, 14000, 13576, 13066?\n\"Answer: -43*s**2 - 37*s + 14836","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 147400?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -94 + 164. What is the highest common divisor of x and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18332 = -138*z - 787*z + 4793 for z.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = f**2 - 126*f + 2293. Let y be a(22). Sort -2871, -0.2, y in ascending order.\nAnswer: -2871, -0.2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4614215 - 4614215 + 568*v**2 - 426*v**4 wrt v?\nAnswer: -10224*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(220)\/sqrt(4)*-4)\/sqrt(11).\nAnswer: -4*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*s**3 - 2*s**3 + 3*s**3)*(-5*s**2 + 2*s**2 + 7*s**2) + 2*s**5 - s**5 - 5*s**5.\nAnswer: -8*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 969 and 228?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 7 + 0)*((4 - 2 - 3)*(-85 - 28*d + 85) + 0*d + d - 5*d) as l + g*d and give g.\nAnswer: 216","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 3*m - 34. Calculate the remainder when m is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1711537091?\nAnswer: 11, 353, 379, 1163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -35.6 - -36. Put n, -1.9, 0.5 in increasing order.\nAnswer: -1.9, n, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -256, -533, -846, -1213, -1652, -2181, -2818, -3581?\n\"Answer: -3*g**3 - 256*g + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 710*a + 199144 + a**2 - 199144 as m*a**2 + r + t*a and give t.\nAnswer: 710","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8 and 1053312?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000002722 rounded to 6 dps?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 18 - 29. Let h = -193.93 - -204.9. Let p = h + v. Which is the second smallest value? (a) 2\/17 (b) p (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-11)\/(-11)*(-2)\/12.\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:03 AM and 11:27 AM?\nAnswer: 624","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 371251720 and 24395.\nAnswer: 1435","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8 + -7.7. Let t = 0.81253 + -1.31253. Which is the nearest to 3? (a) t (b) 5 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -131*r + 1. Let x(g) = g - 9. Let n be x(8). Is w(n) a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (6\/(-4))\/(((-135)\/(-24))\/(-15)). Let k = -60 + 63. Let q be -1*(1 + 1*-3). Sort p, k, q.\nAnswer: q, k, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*r**3 - 11*r**3 + 15*r**3 - 8*r**3.\nAnswer: -21*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -12*r**2 - 8*r + 8. Let q(s) be the second derivative of -s**4\/12 - s**3\/6 + s**2\/2 - 8*s + 4. Give d(g) - 10*q(g).\nAnswer: -2*g**2 + 2*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4447 + -1896. Does 27 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -5*l + 9*l. Solve 4*u = -u - 3*t - 16, t - l = 3*u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, z: 1, b: 4, l: 5, c: 3}. Give prob of sequence zc.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (18 + -18 - (-4 + -5)) + -25?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2 - -5. Suppose 3*u = 2*j - 292 + 265, 0 = 3*j + 4*u - 15. What is the highest common factor of l and j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.5 (b) -1\/6 (c) -3 (d) 1\/2 (e) 20\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3.68 - 0.32. Which is the nearest to 0.1? (a) -3 (b) 16 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -580568052 or 0?\nAnswer: -580568052","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 0.0516*-28\nAnswer: -1.4448","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -u**2 + 5*u + 4. Let h be o(11). Let c = h - -90. Let w = 117 - c. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 8*f**2 - 7*f + 7. Let o(u) = 7*u**2 - 6*u + 6. Let l(m) = 6*a(m) - 7*o(m). Let d(h) = h. Calculate d(l(y)).\nAnswer: -y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -796\/5 + 1671\/10. Find the common denominator of -48\/7 and l.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 12 and 956.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the second derivative of -69*w**5\/20 - w**4\/6 + w**3 + w - 30. Find the third derivative of b(a) wrt a.\nAnswer: -414","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = t + 85, 3*t - 5*l - 66 = -345. Let u = 109 + t. Calculate the least common multiple of u and 63.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9.2*10\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -349 = -4*o + 3*f + 152, 0 = -2*o + 4*f + 248. 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 60031 minus -234.6?\nAnswer: 60265.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the first derivative of 11*z**3\/3 - 3*z - 386. Let l(u) = u**2. What is c(l(f))?\nAnswer: 11*f**4 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = o. Let j be z(-1). Let i(d) = 2*d. Suppose 0*h = 4*h + 4*f, 4*f = -h + 3. Let c be i(h). Is c greater than or equal to j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4539*l - 9089*l + 4543*l.\nAnswer: -7*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 198 = 29*q - 208. Let w(y) be the first derivative of 7*y - 10\/3*y**3 + 4*y**2 + 1\/4*y**4 - q. Determine w(9).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = -u + 41, -4*u - g - g = -92. Let m = 45 - u. Solve -4*s = 3*x - 19, 4*s + 3*x - m = -x for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 15) to base 2.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -l**2 - 6*l + 5. Let o be c(-5). Let p = o + 2. What is the units digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**2\/5 - 74*w\/5 + 73\/5.\nAnswer: (w - 73)*(w - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4*11\/66)\/(8\/(-6))?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 4, h: 1, d: 2, g: 4, b: 3}. Give prob of sequence hbgg.\nAnswer: 3\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 834500.6cm?\nAnswer: 8345006000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 41416.\nAnswer: 2, 31, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 18050243 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + (7 + -6 + -10 - 5) + 45.\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z and 1 b when three letters picked without replacement from {z: 5, b: 2}?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -330 (base 6) in base 2?\nAnswer: -1111110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 2*q + 7. Let m(d) = 366221*d. Determine g(m(v)).\nAnswer: 732442*v + 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2457566 is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -a**2 - 18*a - 26. Let d be f(-16). Solve 0 = -d*b - 0*b + 18 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0.3 (b) 4 (c) -8.99 (d) -1\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 121a5a8 + -a?\nAnswer: 121a59e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*z + 3*c = 9*z - 9, 3*c + 3 = 0. Suppose -z*h = 5*v - 0 + 11, -3*h = 4*v + 7. Solve -h = -m - 1 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aaaaa. Give prob of sequence aa.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1130 + 2*x - 2*x + 1130 + 424*x**3 - 3464*x**3.\nAnswer: -3040*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 27325 + 4854. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 116 + 39*z + 35*z + 3*z**2 - 15*z**2 + 7*z.\nAnswer: -12*z**2 + 81*z + 116","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 less than or equal to -2\/1195?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 14\/161 + 36\/115\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/(-6) + (-14)\/6. Let i(c) = c - 3. Let o(u) = 3*u - 10. Give n*o(l) + 7*i(l).\nAnswer: l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/u**(-2))**(-7)\/(u\/(u\/(u\/(u**2\/u))))**28)**(2\/11) assuming u is positive.\nAnswer: u**(-42\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.690816*-0.1.\nAnswer: -0.0690816","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*h + 21456 = -26249. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 3*i + 80. Let w be j(-21). What is the second derivative of 23*t + 240*t**3 - 212*t**3 + w*t wrt t?\nAnswer: 168*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(22) + 1*sqrt(1078))\/sqrt(2))**2.\nAnswer: 704","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 499 by 2.\nAnswer: 499\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6, -23, -62, -135, -254, -431?\nAnswer: -678","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -2.4, 3\/5, 2, 0.5?\nAnswer: -2.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -95 + 36 + 2690*k + 22 + 37.\nAnswer: 2690*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-1)*((-3)\/(-9))\/(-1)\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4637237 and 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 20*a**2 - 53*a**2 + 18*a**2 + 18*a**2. Let j(z) = 2 + 4*z - 2. Calculate w(j(h)).\nAnswer: 48*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -192 + 168 - (1 + 0 - -6)\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the first derivative of -4*t**6\/15 + t**4\/6 - 14*t + 20. Let s(w) be the first derivative of g(w). Find the third derivative of s(i) wrt i.\nAnswer: -192*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 263099021 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6744 - 6209. List the prime factors of f.\nAnswer: 5, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 259991 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(90)\/sqrt(5))\/sqrt(6) + -5 + sqrt(108))**2.\nAnswer: -70*sqrt(3) + 172","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 13415 + -58?\nAnswer: 13346","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 2*f = -4*f + 273, -5*f + 273 = 3*k. Solve -1 - 79 + k*q**2 + 95*q**2 - 191*q**2 - 40*q = 0 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 2*d + z, 4*d = 3*z + 26 - 1. Suppose 0*y - d*y - 44 = 0. Let o be (((-48)\/10)\/2)\/(3\/15). Which is greater: o or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -31989 + 383869\/12. Let d(m) be the third derivative of 0*m + b*m**4 + 2*m**2 + 0 - 1\/15*m**5 + 1\/120*m**6 + 2\/3*m**3. Give d(4).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -248391 by 33.\nAnswer: -7527","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 240 to the power of 1\/2, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4143 - -33?\nAnswer: -4110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = n + 3*t - 60, n - 2*t - 136 = -2*n. List the prime factors of n.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 340 (base 13) to base 4.\nAnswer: 20233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 303 minutes after 5:33 AM?\nAnswer: 10:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33*l - 32*l + 66*l.\nAnswer: l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 198 in -0.31, -2, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 16506263 to the power of 1\/6, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-220)\/880*(-1680)\/(-98).\nAnswer: -30\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -5*i + 2. Let z(g) = -225*g**2 + 14. Determine z(m(k)).\nAnswer: -5625*k**2 + 4500*k - 886","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (q**2 - 3*q**2 + 4*q**2)*(69*q**2 - 3*q**2 + 23*q**2) - q**4 - 2*q**2 - 2*q**4 - 2*q**4.\nAnswer: 173*q**4 - 2*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) be the second derivative of 0*b**3 + 0*b**2 - 35*b + 2\/3*b**4 - 1\/20*b**5 + 0. Factor k(v).\nAnswer: -v**2*(v - 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = q**2 - 4*q - 11. Let d be i(5). Let o be d + 10 - (-2)\/(-2). Which is smaller: o or 4?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/5)\/(1\/2).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -3*f**3 + 2*f**2 + 3*f + 2. Let q(a) = a**3 - a**2 - a - 1. Determine q(z) + x(z).\nAnswer: -2*z**3 + z**2 + 2*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2795246 rounded to 2 decimal places?\nAnswer: -0.28","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.04 - -5.04. Let z = 318.5 + -313. Let s = q - z. Which is the second smallest value? (a) s (b) -3 (c) -8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) be the third derivative of -2*f**4\/3 - 6*f**3 + 10*f**2 - 5. Let p be x(-32). Calculate the greatest common divisor of 68 and p.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 12*u - 546. Give z(44).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(180) + -1)*6.\nAnswer: -6 + 36*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 19083 (base 13) in base 15?\nAnswer: e546","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0 + 5. Suppose -x*q + 94 = -2*f - 9, 2*f = -3*q - 111. What is the tens digit of 288\/f*69\/(-4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 146.87 + 1.13. Let j = y + -147.99999879. What is j rounded to seven decimal places?\nAnswer: 0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7585)\/164*4\/20*(-152)\/(-38)?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by 13415.\nAnswer: -1\/13415","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ewe when three letters picked without replacement from yweye?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 303907650 to the nearest integer?\nAnswer: 17433","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1 (b) -4\/7 (c) -92\/9 (d) -3 (e) 0.19\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 156*(-11)\/(-132)*-1?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1.65 + -3.35. Put q, -0.2, 0.86 in decreasing order.\nAnswer: 0.86, -0.2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 9*h - 11. Let b(q) = -2*q + 2. Let s(t) = -11*b(t) - 2*j(t). Let f = 5 + -2. Let p(r) = -f*r + 3*r - r**2. Determine s(p(v)).\nAnswer: -4*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = g**3 + 67*g**2 - 385*g - 17096. Determine c(-69).\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*a**2 - 12*a**2 + 20*a**2.\nAnswer: -10*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -30 - -17. Let l be 6\/105*b*5. Are l and -4 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 118 - 117. Let d be (-4)\/(-14) - 8\/(-21). Let m be ((-1)\/(-2))\/((-2)\/6). Which is the nearest to -1? (a) p (b) m (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 12? (a) 3 (b) 135.1 (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 462 and 616?\nAnswer: 1848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 70 + 11 + 6 + -3. Let z(h) = h**3 + 4*h**2 + 3*h + 3. Let m be z(-2). Suppose m*a - n = a. What are the prime factors of a?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -19 + 14 + 239*q**2 + 4 - 4 to w*q + j*q**2 + b and give b.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a minute in seconds?\nAnswer: 210","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14371167 is divided by 3959?\nAnswer: 3956","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -x**5 - 4*x**4 + 11*x**3 - 6*x**2.\nAnswer: -x**2*(x - 1)**2*(x + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.2940384 seconds to hours.\nAnswer: 0.001748344","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-b - b + b)*(3 + 0 - 4) - 3*b + 4*b + 0*b + (-4*b + 0*b + 2*b)*(2 + 4 - 5) - 11 - b + 11 - 6*b + 5*b + 3*b.\nAnswer: b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -38100, -38098, -38096, -38094?\nAnswer: -38092","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}